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.gitattributes

@@ -33,3 +33,4 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text
 *.zip filter=lfs diff=lfs merge=lfs -text
 *.zst filter=lfs diff=lfs merge=lfs -text
 *tfevents* filter=lfs diff=lfs merge=lfs -text
+mamba/assets/ssd_algorithm.png filter=lfs diff=lfs merge=lfs -text

mamba/.github/workflows/publish.yaml

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+# This workflow will:
+# - Create a new Github release
+# - Build wheels for supported architectures
+# - Deploy the wheels to the Github release
+# - Release the static code to PyPi
+# For more information see: https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
+
+name: Build wheels and deploy
+
+on:
+  create:
+    tags:
+      - v*
+
+jobs:
+
+  setup_release:
+    name: Create Release
+    runs-on: ubuntu-latest
+    steps:
+      - name: Get the tag version
+        id: extract_branch
+        run: echo ::set-output name=branch::${GITHUB_REF#refs/tags/}
+        shell: bash
+
+      - name: Create Release
+        id: create_release
+        uses: actions/create-release@v1
+        env:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+        with:
+          tag_name: ${{ steps.extract_branch.outputs.branch }}
+          release_name: ${{ steps.extract_branch.outputs.branch }}
+
+  build_wheels:
+    name: Build Wheel
+    needs: setup_release
+    runs-on: ${{ matrix.os }}
+
+    strategy:
+      fail-fast: false
+      matrix:
+          # Using ubuntu-20.04 instead of 22.04 for more compatibility (glibc). Ideally we'd use the
+          # manylinux docker image, but I haven't figured out how to install CUDA on manylinux.
+          os: [ubuntu-20.04]
+          python-version: ['3.8', '3.9', '3.10', '3.11', '3.12']
+          torch-version: ['2.0.1', '2.1.2', '2.2.2', '2.3.1', '2.4.0']
+          cuda-version: ['11.8.0', '12.2.2']
+          # We need separate wheels that either uses C++11 ABI (-D_GLIBCXX_USE_CXX11_ABI) or not.
+          # Pytorch wheels currently don't use it, but nvcr images have Pytorch compiled with C++11 ABI.
+          # Without this we get import error (undefined symbol: _ZN3c105ErrorC2ENS_14SourceLocationESs)
+          # when building without C++11 ABI and using it on nvcr images.
+          cxx11_abi: ['FALSE', 'TRUE']
+          exclude:
+            # Pytorch < 2.2 does not support Python 3.12
+            - torch-version: '2.0.1'
+              python-version: '3.12'
+            - torch-version: '2.1.2'
+              python-version: '3.12'
+            # Pytorch <= 2.0 only supports CUDA <= 11.8
+            - torch-version: '2.0.1'
+              cuda-version: '12.2.2'
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: Set up Python
+        uses: actions/setup-python@v4
+        with:
+          python-version: ${{ matrix.python-version }}
+
+      - name: Set CUDA and PyTorch versions
+        run: |
+          echo "MATRIX_CUDA_VERSION=$(echo ${{ matrix.cuda-version }} | awk -F \. {'print $1 $2'})" >> $GITHUB_ENV
+          echo "MATRIX_TORCH_VERSION=$(echo ${{ matrix.torch-version }} | awk -F \. {'print $1 "." $2'})" >> $GITHUB_ENV
+
+      - name: Free up disk space
+        if: ${{ runner.os == 'Linux' }}
+        # https://github.com/easimon/maximize-build-space/blob/master/action.yml
+        # https://github.com/easimon/maximize-build-space/tree/test-report
+        run: |
+          sudo rm -rf /usr/share/dotnet
+          sudo rm -rf /opt/ghc
+          sudo rm -rf /opt/hostedtoolcache/CodeQL
+
+      - name: Set up swap space
+        if: runner.os == 'Linux'
+        uses: pierotofy/set-swap-space@v1.0
+        with:
+          swap-size-gb: 10
+
+      - name: Install CUDA ${{ matrix.cuda-version }}
+        if: ${{ matrix.cuda-version != 'cpu' }}
+        uses: Jimver/cuda-toolkit@v0.2.14
+        id: cuda-toolkit
+        with:
+          cuda: ${{ matrix.cuda-version }}
+          linux-local-args: '["--toolkit"]'
+          # default method is "local", and we're hitting some error with caching for CUDA 11.8 and 12.1
+          # method: ${{ (matrix.cuda-version == '11.8.0' || matrix.cuda-version == '12.1.0') && 'network' || 'local' }}
+          method: 'network'
+          # We need the cuda libraries (e.g. cuSparse, cuSolver) for compiling PyTorch extensions,
+          # not just nvcc
+          # sub-packages: '["nvcc"]'
+
+      - name: Install PyTorch ${{ matrix.torch-version }}+cu${{ matrix.cuda-version }}
+        run: |
+          pip install --upgrade pip
+          # If we don't install before installing Pytorch, we get error for torch 2.0.1
+          # ERROR: Could not find a version that satisfies the requirement setuptools>=40.8.0 (from versions: none)
+          pip install lit
+          # For some reason torch 2.2.0 on python 3.12 errors saying no setuptools
+          pip install setuptools
+          # We want to figure out the CUDA version to download pytorch
+          # e.g. we can have system CUDA version being 11.7 but if torch==1.12 then we need to download the wheel from cu116
+          # This code is ugly, maybe there's a better way to do this.
+          export TORCH_CUDA_VERSION=$(python -c "from os import environ as env; \
+            minv = {'2.0': 117, '2.1': 118, '2.2': 118, '2.3': 118, '2.4': 118}[env['MATRIX_TORCH_VERSION']]; \
+            maxv = {'2.0': 118, '2.1': 121, '2.2': 121, '2.3': 121, '2.4': 124}[env['MATRIX_TORCH_VERSION']]; \
+            print(max(min(int(env['MATRIX_CUDA_VERSION']), maxv), minv))" \
+          )
+          if [[ ${{ matrix.torch-version }} == *"dev"* ]]; then
+            pip install --no-cache-dir --pre torch==${{ matrix.torch-version }} --index-url https://download.pytorch.org/whl/nightly/cu${TORCH_CUDA_VERSION}
+          else
+            pip install --no-cache-dir torch==${{ matrix.torch-version }} --index-url https://download.pytorch.org/whl/cu${TORCH_CUDA_VERSION}
+          fi
+          nvcc --version
+          python --version
+          python -c "import torch; print('PyTorch:', torch.__version__)"
+          python -c "import torch; print('CUDA:', torch.version.cuda)"
+          python -c "from torch.utils import cpp_extension; print (cpp_extension.CUDA_HOME)"
+        shell:
+          bash
+
+      - name: Build wheel
+        run: |
+          # We want setuptools >= 49.6.0 otherwise we can't compile the extension if system CUDA version is 11.7 and pytorch cuda version is 11.6
+          # https://github.com/pytorch/pytorch/blob/664058fa83f1d8eede5d66418abff6e20bd76ca8/torch/utils/cpp_extension.py#L810
+          # However this still fails so I'm using a newer version of setuptools
+          pip install setuptools==68.0.0
+          pip install ninja packaging wheel
+          export PATH=/usr/local/nvidia/bin:/usr/local/nvidia/lib64:$PATH
+          export LD_LIBRARY_PATH=/usr/local/nvidia/lib64:/usr/local/cuda/lib64:$LD_LIBRARY_PATH
+          # Limit MAX_JOBS otherwise the github runner goes OOM
+          MAX_JOBS=2 MAMBA_FORCE_BUILD="TRUE" MAMBA_FORCE_CXX11_ABI=${{ matrix.cxx11_abi}} python setup.py bdist_wheel --dist-dir=dist
+          tmpname=cu${MATRIX_CUDA_VERSION}torch${MATRIX_TORCH_VERSION}cxx11abi${{ matrix.cxx11_abi }}
+          wheel_name=$(ls dist/*whl | xargs -n 1 basename | sed "s/-/+$tmpname-/2")
+          ls dist/*whl |xargs -I {} mv {} dist/${wheel_name}
+          echo "wheel_name=${wheel_name}" >> $GITHUB_ENV
+
+      - name: Log Built Wheels
+        run: |
+          ls dist
+
+      - name: Get the tag version
+        id: extract_branch
+        run: echo ::set-output name=branch::${GITHUB_REF#refs/tags/}
+
+      - name: Get Release with tag
+        id: get_current_release
+        uses: joutvhu/get-release@v1
+        with:
+          tag_name: ${{ steps.extract_branch.outputs.branch }}
+        env:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+
+      - name: Upload Release Asset
+        id: upload_release_asset
+        uses: actions/upload-release-asset@v1
+        env:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+        with:
+          upload_url: ${{ steps.get_current_release.outputs.upload_url }}
+          asset_path: ./dist/${{env.wheel_name}}
+          asset_name: ${{env.wheel_name}}
+          asset_content_type: application/*
+
+  publish_package:
+    name: Publish package
+    needs: [build_wheels]
+
+    runs-on: ubuntu-latest
+
+    steps:
+      - uses: actions/checkout@v3
+
+      - uses: actions/setup-python@v4
+        with:
+          python-version: '3.10'
+
+      - name: Install dependencies
+        run: |
+          pip install ninja packaging setuptools wheel twine
+          # We don't want to download anything CUDA-related here
+          pip install torch --index-url https://download.pytorch.org/whl/cpu
+
+      - name: Build core package
+        env:
+          MAMBA_SKIP_CUDA_BUILD: "TRUE"
+        run: |
+          python setup.py sdist --dist-dir=dist
+
+      - name: Deploy
+        env:
+          TWINE_USERNAME: "__token__"
+          TWINE_PASSWORD: ${{ secrets.PYPI_API_TOKEN }}
+        run: |
+          python -m twine upload dist/*

mamba/.gitignore

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+*__pycache__/
+*.egg-info/
+build/
+**.so
+*.hip
+*_hip.*

mamba/.gitmodules

@@ -0,0 +1,3 @@
+[submodule "3rdparty/lm-evaluation-harness"]
+	path = 3rdparty/lm-evaluation-harness
+	url = https://github.com/EleutherAI/lm-evaluation-harness/

mamba/AUTHORS

@@ -0,0 +1,2 @@
+Tri Dao, tri@tridao.me
+Albert Gu, agu@andrew.cmu.edu

mamba/LICENSE

@@ -0,0 +1,201 @@
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+
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+   9. Accepting Warranty or Additional Liability. While redistributing
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+      on Your own behalf and on Your sole responsibility, not on behalf
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+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
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+   Copyright 2023 Tri Dao, Albert Gu
+
+   Licensed under the Apache License, Version 2.0 (the "License");
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+
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+
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mamba/README.md

@@ -0,0 +1,243 @@
+# Mamba
+
+![Mamba](assets/selection.png "Selective State Space")
+> **Mamba: Linear-Time Sequence Modeling with Selective State Spaces**\
+> Albert Gu*, Tri Dao*\
+> Paper: https://arxiv.org/abs/2312.00752
+
+![Mamba-2](assets/ssd_algorithm.png "State Space Dual Model")
+> **Transformers are SSMs: Generalized Models and Efficient Algorithms**\
+>     **Through Structured State Space Duality**\
+> Tri Dao*, Albert Gu*\
+> Paper: https://arxiv.org/abs/2405.21060
+
+## About
+
+Mamba is a new state space model architecture showing promising performance on information-dense data such as language modeling, where previous subquadratic models fall short of Transformers.
+It is based on the line of progress on [structured state space models](https://github.com/state-spaces/s4),
+with an efficient hardware-aware design and implementation in the spirit of [FlashAttention](https://github.com/Dao-AILab/flash-attention).
+
+## Installation
+
+- [Option] `pip install causal-conv1d>=1.4.0`: an efficient implementation of a simple causal Conv1d layer used inside the Mamba block.
+- `pip install mamba-ssm`: the core Mamba package.
+- `pip install mamba-ssm[causal-conv1d]`: To install core Mamba package and causal-conv1d.
+- `pip install mamba-ssm[dev]`: To install core Mamba package and dev depdencies.
+
+It can also be built from source with `pip install .` from this repository.
+
+If `pip` complains about PyTorch versions, try passing `--no-build-isolation` to `pip`.
+
+Other requirements:
+- Linux
+- NVIDIA GPU
+- PyTorch 1.12+
+- CUDA 11.6+
+
+For AMD cards, see additional prerequisites below.
+
+## Usage
+
+We expose several levels of interface with the Mamba model.
+
+### Selective SSM
+
+Mamba is based on a selective SSM layer, which is the focus of the paper (Section 3; Algorithm 2).
+
+Source: [ops/selective_scan_interface.py](mamba_ssm/ops/selective_scan_interface.py).
+
+### Mamba Block
+
+The main module of this repository is the Mamba architecture block wrapping the selective SSM.
+
+Source: [modules/mamba_simple.py](mamba_ssm/modules/mamba_simple.py).
+
+Usage:
+``` python
+import torch
+from mamba_ssm import Mamba
+
+batch, length, dim = 2, 64, 16
+x = torch.randn(batch, length, dim).to("cuda")
+model = Mamba(
+    # This module uses roughly 3 * expand * d_model^2 parameters
+    d_model=dim, # Model dimension d_model
+    d_state=16,  # SSM state expansion factor
+    d_conv=4,    # Local convolution width
+    expand=2,    # Block expansion factor
+).to("cuda")
+y = model(x)
+assert y.shape == x.shape
+```
+
+### Mamba-2
+
+The Mamba-2 block is implemented at [modules/mamba2.py](mamba_ssm/modules/mamba2.py).
+
+A simpler version is at [modules/mamba2_simple.py](mamba_ssm/modules/mamba2_simple.py)
+
+The usage is similar to Mamba(-1):
+``` python
+from mamba_ssm import Mamba2
+model = Mamba2(
+    # This module uses roughly 3 * expand * d_model^2 parameters
+    d_model=dim, # Model dimension d_model
+    d_state=64,  # SSM state expansion factor, typically 64 or 128
+    d_conv=4,    # Local convolution width
+    expand=2,    # Block expansion factor
+).to("cuda")
+y = model(x)
+assert y.shape == x.shape
+```
+
+#### SSD
+
+A minimal version of the inner SSD module (Listing 1 from the Mamba-2 paper) with conversion between "discrete" and "continuous" SSM versions
+is at [modules/ssd_minimal.py](mamba_ssm/modules/ssd_minimal.py).
+
+### Mamba Language Model
+
+Finally, we provide an example of a complete language model: a deep sequence model backbone (with repeating Mamba blocks) + language model head.
+
+Source: [models/mixer_seq_simple.py](mamba_ssm/models/mixer_seq_simple.py).
+
+This is an example of how to integrate Mamba into an end-to-end neural network.
+This example is used in the generation scripts below.
+
+
+## Pretrained Models
+
+Pretrained models are uploaded to
+[Hugging Face](https://huggingface.co/state-spaces): `mamba-130m`, `mamba-370m`,
+`mamba-790m`, `mamba-1.4b`, `mamba-2.8b`, `mamba2-130m`, `mamba2-370m`,
+`mamba2-780m`, `mamba2-1.3b`, `mamba2-2.7b`, `transformerpp-2.7b`, `mamba2attn-2.7b`, trained on 300B tokens on the Pile, as well as `mamba-2.8b-slimpj`
+(trained on 600B tokens on the SlimPajama dataset).
+
+
+The models will be autodownloaded by the generation script below.
+
+These models were trained on the [Pile](https://huggingface.co/datasets/EleutherAI/pile), and follow the standard model dimensions described by GPT-3 and followed by many open source models:
+
+| Parameters | Layers | Model dim. | 
+|------------|--------|------------|
+| 130M       | 24     | 768        |
+| 370M       | 48     | 1024       |
+| 790M       | 48     | 1536       |
+| 1.4B       | 48     | 2048       |
+| 2.8B       | 64     | 2560       |
+
+(The layer count of Mamba doubles that of a Transformer with similar size, as two Mamba blocks are needed for each "layer" (MHA block + MLP block) of a Transformer.)
+
+Note: these are base models trained only for 300B tokens, without any form of downstream modification (instruction tuning, etc.).
+Performance is expected to be comparable or better than other architectures trained on similar data, but not to match larger or fine-tuned models.
+
+
+## Evaluations
+
+To run zero-shot evaluations of models (corresponding to Table 3 of the paper),
+we use the
+[lm-evaluation-harness](https://github.com/EleutherAI/lm-evaluation-harness)
+library.
+
+1. Install `lm-evaluation-harness` by `pip install lm-eval==0.4.2`.
+2. Run evaluation with (more documentation at the [lm-evaluation-harness](https://github.com/EleutherAI/lm-evaluation-harness/tree/big-refactor) repo):
+``` sh
+lm_eval --model mamba_ssm --model_args pretrained=state-spaces/mamba-130m --tasks lambada_openai,hellaswag,piqa,arc_easy,arc_challenge,winogrande,openbookqa --device cuda --batch_size 256
+python evals/lm_harness_eval.py --model hf --model_args pretrained=EleutherAI/pythia-160m --tasks lambada_openai,hellaswag,piqa,arc_easy,arc_challenge,winogrande --device cuda --batch_size 64
+```
+
+To reproduce the results on the `mamba-2.8b-slimpj` model reported in the blogposts:
+``` sh
+lm_eval --model mamba_ssm --model_args pretrained=state-spaces/mamba-2.8b-slimpj --tasks boolq,piqa,hellaswag,winogrande,arc_easy,arc_challenge,openbookqa,race,truthfulqa_mc2 --device cuda --batch_size 256
+lm_eval --model mamba_ssm --model_args pretrained=state-spaces/mamba-2.8b-slimpj --tasks mmlu --num_fewshot 5 --device cuda --batch_size 256
+```
+
+To run evaluations on Mamba-2 models, simply replace the model names:
+``` sh
+lm_eval --model mamba_ssm --model_args pretrained=state-spaces/mamba2-2.7b --tasks lambada_openai,hellaswag,piqa,arc_easy,arc_challenge,winogrande,openbookqa --device cuda --batch_size 256
+lm_eval --model mamba_ssm --model_args pretrained=state-spaces/transformerpp-2.7b --tasks lambada_openai,hellaswag,piqa,arc_easy,arc_challenge,winogrande,openbookqa --device cuda --batch_size 256
+lm_eval --model mamba_ssm --model_args pretrained=state-spaces/mamba2attn-2.7b --tasks lambada_openai,hellaswag,piqa,arc_easy,arc_challenge,winogrande,openbookqa --device cuda --batch_size 256
+```
+
+Note that the result of each task might differ from reported values by 0.1-0.3 due to noise in the evaluation process.
+
+## Inference
+
+The script [benchmarks/benchmark_generation_mamba_simple.py](benchmarks/benchmark_generation_mamba_simple.py)
+1. autoloads a model from the Hugging Face Hub,
+2. generates completions of a user-specified prompt,
+3. benchmarks the inference speed of this generation.
+
+Other configurable options include the top-p (nucleus sampling) probability, and the softmax temperature.
+
+### Examples
+
+To test generation latency (e.g. batch size = 1) with different sampling strategies:
+
+``` sh
+python benchmarks/benchmark_generation_mamba_simple.py --model-name "state-spaces/mamba-2.8b" --prompt "My cat wrote all this CUDA code for a new language model and" --topp 0.9 --temperature 0.7 --repetition-penalty 1.2
+python benchmarks/benchmark_generation_mamba_simple.py --model-name "EleutherAI/pythia-2.8b" --prompt "My cat wrote all this CUDA code for a new language model and" --topp 0.9 --temperature 0.7 --repetition-penalty 1.2
+python benchmarks/benchmark_generation_mamba_simple.py --model-name "state-spaces/mamba-2.8b" --prompt "My cat wrote all this CUDA code for a new language model and" --minp 0.05 --topk 0 --temperature 0.7 --repetition-penalty 1.2
+```
+
+To test generation throughput with random prompts (e.g. large batch size):
+``` sh
+python benchmarks/benchmark_generation_mamba_simple.py --model-name "state-spaces/mamba-2.8b" --batch 64
+python benchmarks/benchmark_generation_mamba_simple.py --model-name "EleutherAI/pythia-2.8b" --batch 64
+```
+
+With Mamba-2, you just need to change the model name:
+``` sh
+python benchmarks/benchmark_generation_mamba_simple.py --model-name "state-spaces/mamba2-2.7b" --prompt "My cat wrote all this CUDA code for a new language model and" --topp 0.9 --temperature 0.7 --repetition-penalty 1.2
+```
+
+
+## Troubleshooting
+
+### Precision
+Our models were trained using PyTorch [AMP](https://pytorch.org/docs/stable/amp.html) for mixed precision. AMP keeps model parameters in float32 and casts to half precision when necessary.
+On the other hand, other frameworks like DeepSpeed store parameters in float16 and upcasts when necessary (e.g. for optimizer accumulation).
+
+We've observed that higher precision for the main model parameters may be necessary, because SSMs are sensitive to their recurrent dynamics. If you are experiencing instabilities,
+as a first step please try a framework storing parameters in fp32 (such as AMP).
+
+### Initialization
+Some parts of the model have initializations inherited from prior work on S4 models.
+For [example](https://github.com/state-spaces/mamba/blob/f0affcf69f06d1d06cef018ff640bf080a11c421/mamba_ssm/modules/mamba_simple.py#L102), the $\Delta$ parameter has a targeted range by initializing the bias of its linear projection.
+However, some frameworks may have post-initialization hooks (e.g. setting all bias terms in `nn.Linear` modules to zero).
+If this is the case, you may have to add custom logic (e.g. this [line](https://github.com/state-spaces/mamba/blob/f0affcf69f06d1d06cef018ff640bf080a11c421/mamba_ssm/modules/mamba_simple.py#L104) turns off re-initializing in our trainer, but would be a no-op in any other framework)
+that is specific to the training framework.
+
+## Additional Prerequisites for AMD cards
+
+### Patching ROCm
+
+If you are on ROCm 6.0, run the following steps to avoid errors during compilation. This is not required for ROCm 6.1 onwards.
+
+1. Locate your ROCm installation directory. This is typically found at `/opt/rocm/`, but may vary depending on your installation.
+
+2. Apply the Patch. Run with `sudo` in case you encounter permission issues.
+   ```bash
+    patch /opt/rocm/include/hip/amd_detail/amd_hip_bf16.h < rocm_patch/rocm6_0.patch 
+   ```
+
+
+## Citation
+
+If you use this codebase, or otherwise find our work valuable, please cite Mamba:
+```
+@article{mamba,
+  title={Mamba: Linear-Time Sequence Modeling with Selective State Spaces},
+  author={Gu, Albert and Dao, Tri},
+  journal={arXiv preprint arXiv:2312.00752},
+  year={2023}
+}
+
+@inproceedings{mamba2,
+  title={Transformers are {SSM}s: Generalized Models and Efficient Algorithms Through Structured State Space Duality},
+  author={Dao, Tri and Gu, Albert},
+  booktitle={International Conference on Machine Learning (ICML)},
+  year={2024}
+}
+
+```

mamba/benchmarks/benchmark_generation_mamba_simple.py

@@ -0,0 +1,92 @@
+# Copyright (c) 2023, Tri Dao, Albert Gu.
+
+import argparse
+import time
+import json
+
+import torch
+import torch.nn.functional as F
+
+from einops import rearrange
+
+from transformers import AutoTokenizer, AutoModelForCausalLM
+
+from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel
+
+
+parser = argparse.ArgumentParser(description="Generation benchmarking")
+parser.add_argument("--model-name", type=str, default="state-spaces/mamba-130m")
+parser.add_argument("--prompt", type=str, default=None)
+parser.add_argument("--promptlen", type=int, default=100)
+parser.add_argument("--genlen", type=int, default=100)
+parser.add_argument("--temperature", type=float, default=1.0)
+parser.add_argument("--topk", type=int, default=1)
+parser.add_argument("--topp", type=float, default=1.0)
+parser.add_argument("--minp", type=float, default=0.0)
+parser.add_argument("--repetition-penalty", type=float, default=1.0)
+parser.add_argument("--batch", type=int, default=1)
+args = parser.parse_args()
+
+repeats = 3
+device = "cuda"
+dtype = torch.float16
+
+print(f"Loading model {args.model_name}")
+is_mamba = args.model_name.startswith("state-spaces/mamba") or args.model_name.startswith("state-spaces/transformerpp")
+if is_mamba:
+    tokenizer = AutoTokenizer.from_pretrained("EleutherAI/gpt-neox-20b")
+    model = MambaLMHeadModel.from_pretrained(args.model_name, device=device, dtype=dtype)
+else:
+    tokenizer = AutoTokenizer.from_pretrained(args.model_name)
+    model = AutoModelForCausalLM.from_pretrained(args.model_name, device_map={"": device}, torch_dtype=dtype)
+model.eval()
+print(f"Number of parameters: {sum(p.numel() for p in model.parameters() if p.requires_grad)}")
+
+torch.random.manual_seed(0)
+if args.prompt is None:
+    input_ids = torch.randint(1, 1000, (args.batch, args.promptlen), dtype=torch.long, device="cuda")
+    attn_mask = torch.ones_like(input_ids, dtype=torch.long, device="cuda")
+else:
+    tokens = tokenizer(args.prompt, return_tensors="pt")
+    input_ids = tokens.input_ids.to(device=device)
+    attn_mask = tokens.attention_mask.to(device=device)
+max_length = input_ids.shape[1] + args.genlen
+
+if is_mamba:
+    fn = lambda: model.generate(
+        input_ids=input_ids,
+        max_length=max_length,
+        cg=True,
+        return_dict_in_generate=True,
+        output_scores=True,
+        enable_timing=False,
+        temperature=args.temperature,
+        top_k=args.topk,
+        top_p=args.topp,
+        min_p=args.minp,
+        repetition_penalty=args.repetition_penalty,
+    )
+else:
+    fn = lambda: model.generate(
+        input_ids=input_ids,
+        attention_mask=attn_mask,
+        max_length=max_length,
+        return_dict_in_generate=True,
+        pad_token_id=tokenizer.eos_token_id,
+        do_sample=True,
+        temperature=args.temperature,
+        top_k=args.topk,
+        top_p=args.topp,
+        repetition_penalty=args.repetition_penalty,
+    )
+out = fn()
+if args.prompt is not None:
+    print(tokenizer.batch_decode(out.sequences.tolist()))
+
+torch.cuda.synchronize()
+start = time.time()
+for _ in range(repeats):
+    fn()
+torch.cuda.synchronize()
+print(f"Prompt length: {len(input_ids[0])}, generation length: {len(out.sequences[0]) - len(input_ids[0])}")
+print(f"{args.model_name} prompt processing + decoding time: {(time.time() - start) / repeats * 1000:.0f}ms")

mamba/build/lib/mamba_ssm/__init__.py

@@ -0,0 +1,6 @@
+__version__ = "2.2.2"
+
+from mamba_ssm.ops.selective_scan_interface import selective_scan_fn, mamba_inner_fn
+from mamba_ssm.modules.mamba_simple import Mamba
+from mamba_ssm.modules.mamba2 import Mamba2
+from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel

mamba/build/lib/mamba_ssm/distributed/distributed_utils.py

@@ -0,0 +1,144 @@
+from typing import Optional
+
+import torch
+from torch import Tensor
+from torch.distributed import ProcessGroup
+
+# `all_gather_into_tensor` and `reduce_scatter_tensor` are new placeholders for
+# `_all_gather_base` and `_reduce_scatter_base`. They require the most recent
+# version of PyTorch. The following 4 lines are for backward compatibility with
+# older PyTorch.
+if "all_gather_into_tensor" not in dir(torch.distributed):
+    torch.distributed.all_gather_into_tensor = torch.distributed._all_gather_base
+if "reduce_scatter_tensor" not in dir(torch.distributed):
+    torch.distributed.reduce_scatter_tensor = torch.distributed._reduce_scatter_base
+
+
+# Raw operation, does not support autograd, but does support async
+def all_gather_raw(input_: Tensor, process_group: ProcessGroup, async_op: bool = False):
+    world_size = torch.distributed.get_world_size(process_group)
+    output = torch.empty(
+        world_size * input_.shape[0], *input_.shape[1:], dtype=input_.dtype, device=input_.device
+    )
+    handle = torch.distributed.all_gather_into_tensor(
+        output, input_.contiguous(), group=process_group, async_op=async_op
+    )
+    return output, handle
+
+
+# Raw operation, does not support autograd, but does support async
+def reduce_scatter_raw(input_: Tensor, process_group: ProcessGroup, async_op: bool = False):
+    world_size = torch.distributed.get_world_size(process_group)
+    assert input_.shape[0] % world_size == 0
+    output = torch.empty(
+        input_.shape[0] // world_size, *input_.shape[1:], dtype=input_.dtype, device=input_.device
+    )
+    handle = torch.distributed.reduce_scatter_tensor(
+        output, input_.contiguous(), group=process_group, async_op=async_op
+    )
+    return output, handle
+
+
+# Raw operation, does not support autograd, but does support async
+def all_reduce_raw(input_: Tensor, process_group: ProcessGroup, async_op: bool = False):
+    input_ = input_.contiguous()
+    handle = torch.distributed.all_reduce(input_, group=process_group, async_op=async_op)
+    return input_, handle
+
+
+class AllGatherFunc(torch.autograd.Function):
+    """Gather the input from sequence parallel region and concatenate."""
+
+    @staticmethod
+    def forward(ctx, input_: Tensor, process_group: ProcessGroup) -> Tensor:
+        ctx.process_group = process_group
+        output, _ = all_gather_raw(input_, process_group)
+        return output
+
+    @staticmethod
+    def backward(ctx, grad_output: Tensor):
+        grad_input, _ = reduce_scatter_raw(grad_output, ctx.process_group)
+        return grad_input, None
+
+
+# Supports autograd, but does not support async
+all_gather = AllGatherFunc.apply
+
+
+class ReduceScatterFunc(torch.autograd.Function):
+    """Reduce scatter the input from the sequence parallel region and concatenate."""
+
+    @staticmethod
+    def forward(ctx, input_: Tensor, process_group: ProcessGroup) -> Tensor:
+        ctx.process_group = process_group
+        output, _ = reduce_scatter_raw(input_, process_group)
+        return output
+
+    @staticmethod
+    def backward(ctx, grad_output: Tensor):
+        grad_input, _ = all_gather_raw(grad_output, ctx.process_group)
+        return grad_input, None
+
+
+# Supports autograd, but does not support async
+reduce_scatter = ReduceScatterFunc.apply
+
+
+class AllReduceFunc(torch.autograd.Function):
+    """Gather the input from sequence parallel region and concatenate."""
+
+    @staticmethod
+    def forward(ctx, input_: Tensor, process_group: ProcessGroup) -> Tensor:
+        ctx.process_group = process_group
+        output, _ = all_reduce_raw(input_, process_group)
+        return output
+
+    @staticmethod
+    def backward(ctx, grad_output: Tensor):
+        return grad_output, None
+
+
+# Supports autograd, but does not support async
+all_reduce = AllReduceFunc.apply
+
+
+def sync_shared_params(model: torch.nn.Module, process_group: ProcessGroup):
+    # We want to iterate over parameters with _shared_params=True in the same order,
+    # as different ranks might have different number of parameters (e.g., only rank 0 has bias).
+    pamams_shared = {
+        name: p for name, p in model.named_parameters() if getattr(p, "_shared_params", False)
+    }
+    for _, p in sorted(pamams_shared.items()):
+        with torch.no_grad():
+            # Broadcast needs src to be global rank, not group rank
+            torch.distributed.broadcast(
+                p, src=torch.distributed.get_global_rank(process_group, 0), group=process_group
+            )
+
+
+# Ref: https://github.com/NVIDIA/Megatron-LM/blob/52e636888cccc41e931251c417a7181fc36de926/megatron/optimizer/optimizer.py#L256
+def allreduce_sequence_parallel_grad(model: torch.nn.Module, process_group: ProcessGroup):
+    # We want to iterate over parameters with _sequence_parallel=True in the same order,
+    # as different ranks might have different number of parameters (e.g., only rank 0 has bias).
+    params_seqparallel = {
+        name: p for name, p in model.named_parameters() if getattr(p, "_sequence_parallel", False)
+    }
+    grads = [p.grad for _, p in sorted(params_seqparallel.items())]
+    if grads:
+        with torch.no_grad():
+            coalesced = torch._utils._flatten_dense_tensors(grads)
+            torch.distributed.all_reduce(coalesced, group=process_group)
+            for buf, synced in zip(grads, torch._utils._unflatten_dense_tensors(coalesced, grads)):
+                buf.copy_(synced)
+
+
+def get_dim_for_local_rank(dim: int, world_size: int, local_rank: int, multiple_of: int = 1) -> int:
+    """Get the dim for the local rank derived from splitting dim on world_size processes.
+
+    The split may not be even across the world_size processes.
+    """
+    multiple = dim // multiple_of
+    div = multiple // world_size
+    mod = multiple % world_size
+    local_multiple = div + int(local_rank < mod)
+    return local_multiple * multiple_of

mamba/build/lib/mamba_ssm/distributed/tensor_parallel.py

@@ -0,0 +1,296 @@
+# Copyright (c) 2024, Tri Dao.
+# The TensorParallel linear modules are inspired by https://github.com/NVIDIA/apex/blob/master/apex/transformer/tensor_parallel/layers.py
+from typing import Optional
+
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+from torch import Tensor
+from torch.cuda.amp import custom_bwd, custom_fwd
+from torch.distributed import ProcessGroup
+
+from einops import rearrange
+
+from mamba_ssm.distributed.distributed_utils import (
+    all_gather_raw,
+    all_reduce,
+    all_reduce_raw,
+    reduce_scatter,
+    reduce_scatter_raw,
+)
+
+
+class ParallelLinearFunc(torch.autograd.Function):
+    @staticmethod
+    @custom_fwd
+    def forward(ctx, x, weight, bias, process_group=None, sequence_parallel=True):
+        """
+        If process_group is not None and sequence_parallel=True, we're doing Tensor Parallel
+        with sequence parallelism: we do an all_gather_raw of x before doing the matmul.
+        """
+        ctx.compute_weight_gradient = weight.requires_grad
+        ctx.process_group = process_group
+        ctx.sequence_parallel = sequence_parallel
+
+        if torch.is_autocast_enabled():
+            x = x.to(dtype=torch.get_autocast_gpu_dtype())
+        x = x.contiguous()
+        if process_group is not None and sequence_parallel:
+            # We want to kick off the all_gather early, before weight dtype conversion
+            total_x, handle_x = all_gather_raw(x, process_group, async_op=True)
+        else:
+            total_x = x
+
+        if torch.is_autocast_enabled():
+            weight = weight.to(dtype=torch.get_autocast_gpu_dtype())
+            bias = bias.to(dtype=torch.get_autocast_gpu_dtype()) if bias is not None else None
+        weight = weight.contiguous()
+        if process_group is not None and sequence_parallel:
+            handle_x.wait()
+        batch_shape, n = total_x.shape[:-1], total_x.shape[-1]
+        batch_dim = batch_shape.numel()
+        # https://github.com/pytorch/pytorch/blob/5b51849b48a7dbccd297286cc0110def4706f9e7/aten/src/ATen/native/cuda/Blas.cpp#L174
+        output = F.linear(total_x, weight, bias)
+        if ctx.compute_weight_gradient:
+            ctx.save_for_backward(x, weight)
+        else:
+            ctx.save_for_backward(weight)
+        return output
+
+    @staticmethod
+    @custom_bwd
+    def backward(ctx, grad_output):
+        grad_output = grad_output.contiguous()
+        process_group = ctx.process_group
+        sequence_parallel = ctx.sequence_parallel
+        if ctx.compute_weight_gradient:
+            x, weight = ctx.saved_tensors
+            if process_group is not None and sequence_parallel:
+                total_x, handle_x = all_gather_raw(x, process_group, async_op=True)
+            else:
+                total_x = x
+        else:
+            (weight,) = ctx.saved_tensors
+            total_x = None
+        batch_shape = grad_output.shape[:-1]
+        batch_dim = batch_shape.numel()
+        grad_output = grad_output.reshape(batch_dim, grad_output.shape[-1])
+        if ctx.needs_input_grad[0]:
+            grad_input = F.linear(grad_output, weight.t())
+            grad_input = grad_input.reshape(*batch_shape, grad_input.shape[-1])
+            if process_group is not None:
+                reduce_fn = reduce_scatter_raw if sequence_parallel else all_reduce_raw
+                grad_input, handle_grad_input = reduce_fn(grad_input, process_group, async_op=True)
+        else:
+            grad_input = None
+        if ctx.needs_input_grad[1]:
+            assert ctx.compute_weight_gradient
+            if process_group is not None and sequence_parallel:
+                handle_x.wait()
+            grad_weight = torch.einsum(
+                "bo,bi->oi", grad_output, total_x.reshape(batch_dim, total_x.shape[-1])
+            )
+        else:
+            grad_weight = None
+        grad_bias = grad_output.sum(dim=0) if ctx.needs_input_grad[2] else None
+        if process_group is not None and ctx.needs_input_grad[0]:
+            handle_grad_input.wait()
+        return grad_input, grad_weight, grad_bias, None, None
+
+
+def parallel_linear_func(
+    x: Tensor,
+    weight: Tensor,
+    bias: Optional[Tensor] = None,
+    process_group: Optional[ProcessGroup] = None,
+    sequence_parallel: bool = True,
+):
+    return ParallelLinearFunc.apply(x, weight, bias, process_group, sequence_parallel)
+
+
+class ColumnParallelLinear(nn.Linear):
+    def __init__(
+        self,
+        in_features: int,
+        out_features: int,
+        process_group: ProcessGroup,
+        bias: bool = True,
+        sequence_parallel=True,
+        multiple_of=1,
+        device=None,
+        dtype=None,
+    ) -> None:
+        world_size = torch.distributed.get_world_size(process_group)
+        if out_features % multiple_of:
+            raise ValueError(f"out_features ({out_features}) must be a multiple of {multiple_of}")
+        multiple = out_features // multiple_of
+        # We want to split @multiple across world_size, but it could be an uneven split
+        div = multiple // world_size
+        mod = multiple % world_size
+        # The first @mod ranks get @div + 1 copies, the rest get @div copies
+        local_multiple = div + int(torch.distributed.get_rank(process_group) < mod)
+        super().__init__(
+            in_features, local_multiple * multiple_of, bias=bias, device=device, dtype=dtype
+        )
+        self.process_group = process_group
+        self.sequence_parallel = sequence_parallel
+
+    def forward(self, x):
+        # If self.sequence_parallel is True, we're doing Tensor Parallel with sequence parallelism:
+        # we do an all_gather of x before doing the matmul.
+        # If not, then the input is already gathered.
+        return parallel_linear_func(
+            x,
+            self.weight,
+            self.bias,
+            process_group=self.process_group,
+            sequence_parallel=self.sequence_parallel,
+        )
+
+
+class RowParallelLinear(nn.Linear):
+    def __init__(
+        self,
+        in_features: int,
+        out_features: int,
+        process_group: ProcessGroup,
+        bias: bool = True,
+        sequence_parallel=True,
+        multiple_of=1,
+        device=None,
+        dtype=None,
+    ) -> None:
+        world_size = torch.distributed.get_world_size(process_group)
+        rank = torch.distributed.get_rank(process_group)
+        if in_features % multiple_of:
+            raise ValueError(f"in_features ({in_features}) must be a multiple of {multiple_of}")
+        multiple = in_features // multiple_of
+        # We want to split @multiple across world_size, but it could be an uneven split
+        div = multiple // world_size
+        mod = multiple % world_size
+        # The first @mod ranks get @div + 1 copies, the rest get @div copies
+        local_multiple = div + int(torch.distributed.get_rank(process_group) < mod)
+        # Only rank 0 will have bias
+        super().__init__(
+            local_multiple * multiple_of,
+            out_features,
+            bias=bias and rank == 0,
+            device=device,
+            dtype=dtype,
+        )
+        self.process_group = process_group
+        self.sequence_parallel = sequence_parallel
+
+    def forward(self, x):
+        """
+        We're doing Tensor Parallel with sequence parallelism: we do the matmul and then
+        a reduce_scatter of the result.
+        """
+        out = parallel_linear_func(x, self.weight, self.bias)
+        reduce_fn = reduce_scatter if self.sequence_parallel else all_reduce
+        return reduce_fn(out, self.process_group)
+
+
+class VocabParallelEmbedding(nn.Embedding):
+    def __init__(self, num_embeddings, *args, process_group=None, padding_idx=None, **kwargs):
+        self.process_group = process_group
+        if process_group is not None:
+            world_size = torch.distributed.get_world_size(process_group)
+            if num_embeddings % world_size != 0:
+                raise ValueError(
+                    f"num_embeddings ({num_embeddings}) must be divisible by "
+                    f"world_size ({world_size})"
+                )
+            if world_size > 1 and padding_idx is not None:
+                raise RuntimeError("ParallelEmbedding does not support padding_idx")
+        else:
+            world_size = 1
+        super().__init__(num_embeddings // world_size, *args, padding_idx=padding_idx, **kwargs)
+
+    def forward(self, input: Tensor) -> Tensor:
+        if self.process_group is None:
+            return super().forward(input)
+        else:
+            rank = torch.distributed.get_rank(self.process_group)
+            vocab_size = self.num_embeddings
+            vocab_start_index, vocab_end_index = rank * vocab_size, (rank + 1) * vocab_size
+            # Create a mask of valid vocab ids (1 means it needs to be masked).
+            input_ids_mask = (input < vocab_start_index) | (input >= vocab_end_index)
+            input = input - vocab_start_index
+            input[input_ids_mask] = 0
+            embeddings = super().forward(input)
+            embeddings[input_ids_mask] = 0.0
+            return embeddings
+
+
+class ColumnParallelEmbedding(nn.Embedding):
+    def __init__(self, num_embeddings, embedding_dim, *args, process_group=None, **kwargs):
+        self.process_group = process_group
+        if process_group is not None:
+            world_size = torch.distributed.get_world_size(process_group)
+            if embedding_dim % world_size != 0:
+                raise ValueError(
+                    f"embedding_dim ({embedding_dim}) must be divisible by "
+                    f"world_size ({world_size})"
+                )
+        else:
+            world_size = 1
+        super().__init__(num_embeddings, embedding_dim // world_size, *args, **kwargs)
+
+
+class ParallelEmbeddings(nn.Module):
+    def __init__(
+        self,
+        embed_dim,
+        vocab_size,
+        max_position_embeddings,
+        process_group,
+        padding_idx=None,
+        sequence_parallel=True,
+        device=None,
+        dtype=None,
+    ):
+        """
+        If max_position_embeddings <= 0, there's no position embeddings
+        """
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.process_group = process_group
+        self.sequence_parallel = sequence_parallel
+        self.word_embeddings = VocabParallelEmbedding(
+            vocab_size,
+            embed_dim,
+            padding_idx=padding_idx,
+            process_group=process_group,
+            **factory_kwargs,
+        )
+        self.max_position_embeddings = max_position_embeddings
+        if self.max_position_embeddings > 0:
+            self.position_embeddings = ColumnParallelEmbedding(
+                max_position_embeddings, embed_dim, process_group=process_group, **factory_kwargs
+            )
+
+    def forward(self, input_ids, position_ids=None, combine_batch_seqlen_dim=False):
+        """
+        input_ids: (batch, seqlen)
+        position_ids: (batch, seqlen)
+        """
+        batch_size, seqlen = input_ids.shape
+        world_size = torch.distributed.get_world_size(self.process_group)
+        embeddings = self.word_embeddings(input_ids)
+        if self.max_position_embeddings > 0:
+            if position_ids is None:
+                position_ids = torch.arange(seqlen, dtype=torch.long, device=input_ids.device)
+            position_embeddings = self.position_embeddings(position_ids)
+            if world_size <= 1:
+                embeddings = embeddings + position_embeddings
+            else:
+                partition_dim = self.position_embeddings.embedding_dim
+                rank = torch.distributed.get_rank(self.process_group)
+                embeddings[
+                    ..., rank * partition_dim : (rank + 1) * partition_dim
+                ] += position_embeddings
+        if combine_batch_seqlen_dim:
+            embeddings = rearrange(embeddings, "b s d -> (b s) d")
+        reduce_fn = reduce_scatter if self.sequence_parallel else all_reduce
+        return embeddings if world_size <= 1 else reduce_fn(embeddings, self.process_group)

mamba/build/lib/mamba_ssm/models/config_mamba.py

@@ -0,0 +1,18 @@
+from dataclasses import dataclass, field
+
+
+@dataclass
+class MambaConfig:
+
+    d_model: int = 2560
+    d_intermediate: int = 0
+    n_layer: int = 64
+    vocab_size: int = 50277
+    ssm_cfg: dict = field(default_factory=dict)
+    attn_layer_idx: list = field(default_factory=list)
+    attn_cfg: dict = field(default_factory=dict)
+    rms_norm: bool = True
+    residual_in_fp32: bool = True
+    fused_add_norm: bool = True
+    pad_vocab_size_multiple: int = 8
+    tie_embeddings: bool = True

mamba/build/lib/mamba_ssm/models/mixer_seq_simple.py

@@ -0,0 +1,309 @@
+# Copyright (c) 2023, Albert Gu, Tri Dao.
+
+import math
+from functools import partial
+import json
+import os
+import copy
+
+from collections import namedtuple
+
+import torch
+import torch.nn as nn
+
+from mamba_ssm.models.config_mamba import MambaConfig
+from mamba_ssm.modules.mamba_simple import Mamba
+from mamba_ssm.modules.mamba2 import Mamba2
+from mamba_ssm.modules.mha import MHA
+from mamba_ssm.modules.mlp import GatedMLP
+from mamba_ssm.modules.block import Block
+from mamba_ssm.utils.generation import GenerationMixin
+from mamba_ssm.utils.hf import load_config_hf, load_state_dict_hf
+
+try:
+    from mamba_ssm.ops.triton.layer_norm import RMSNorm, layer_norm_fn, rms_norm_fn
+except ImportError:
+    RMSNorm, layer_norm_fn, rms_norm_fn = None, None, None
+
+
+def create_block(
+    d_model,
+    d_intermediate,
+    ssm_cfg=None,
+    attn_layer_idx=None,
+    attn_cfg=None,
+    norm_epsilon=1e-5,
+    rms_norm=False,
+    residual_in_fp32=False,
+    fused_add_norm=False,
+    layer_idx=None,
+    device=None,
+    dtype=None,
+):
+    if ssm_cfg is None:
+        ssm_cfg = {}
+    if attn_layer_idx is None:
+        attn_layer_idx = []
+    if attn_cfg is None:
+        attn_cfg = {}
+    factory_kwargs = {"device": device, "dtype": dtype}
+    if layer_idx not in attn_layer_idx:
+        # Create a copy of the config to modify
+        ssm_cfg = copy.deepcopy(ssm_cfg) if ssm_cfg is not None else {}
+        ssm_layer = ssm_cfg.pop("layer", "Mamba1")
+        if ssm_layer not in ["Mamba1", "Mamba2"]:
+            raise ValueError(f"Invalid ssm_layer: {ssm_layer}, only support Mamba1 and Mamba2")
+        mixer_cls = partial(
+            Mamba2 if ssm_layer == "Mamba2" else Mamba,
+            layer_idx=layer_idx,
+            **ssm_cfg,
+            **factory_kwargs
+        )
+    else:
+        mixer_cls = partial(MHA, layer_idx=layer_idx, **attn_cfg, **factory_kwargs)
+    norm_cls = partial(
+        nn.LayerNorm if not rms_norm else RMSNorm, eps=norm_epsilon, **factory_kwargs
+    )
+    if d_intermediate == 0:
+        mlp_cls = nn.Identity
+    else:
+        mlp_cls = partial(
+            GatedMLP, hidden_features=d_intermediate, out_features=d_model, **factory_kwargs
+        )
+    block = Block(
+        d_model,
+        mixer_cls,
+        mlp_cls,
+        norm_cls=norm_cls,
+        fused_add_norm=fused_add_norm,
+        residual_in_fp32=residual_in_fp32,
+    )
+    block.layer_idx = layer_idx
+    return block
+
+
+# https://github.com/huggingface/transformers/blob/c28d04e9e252a1a099944e325685f14d242ecdcd/src/transformers/models/gpt2/modeling_gpt2.py#L454
+def _init_weights(
+    module,
+    n_layer,
+    initializer_range=0.02,  # Now only used for embedding layer.
+    rescale_prenorm_residual=True,
+    n_residuals_per_layer=1,  # Change to 2 if we have MLP
+):
+    if isinstance(module, nn.Linear):
+        if module.bias is not None:
+            if not getattr(module.bias, "_no_reinit", False):
+                nn.init.zeros_(module.bias)
+    elif isinstance(module, nn.Embedding):
+        nn.init.normal_(module.weight, std=initializer_range)
+
+    if rescale_prenorm_residual:
+        # Reinitialize selected weights subject to the OpenAI GPT-2 Paper Scheme:
+        #   > A modified initialization which accounts for the accumulation on the residual path with model depth. Scale
+        #   > the weights of residual layers at initialization by a factor of 1/√N where N is the # of residual layers.
+        #   >   -- GPT-2 :: https://openai.com/blog/better-language-models/
+        #
+        # Reference (Megatron-LM): https://github.com/NVIDIA/Megatron-LM/blob/main/megatron/model/gpt_model.py
+        for name, p in module.named_parameters():
+            if name in ["out_proj.weight", "fc2.weight"]:
+                # Special Scaled Initialization --> There are 2 Layer Norms per Transformer Block
+                # Following Pytorch init, except scale by 1/sqrt(2 * n_layer)
+                # We need to reinit p since this code could be called multiple times
+                # Having just p *= scale would repeatedly scale it down
+                nn.init.kaiming_uniform_(p, a=math.sqrt(5))
+                with torch.no_grad():
+                    p /= math.sqrt(n_residuals_per_layer * n_layer)
+
+
+class MixerModel(nn.Module):
+    def __init__(
+        self,
+        d_model: int,
+        n_layer: int,
+        d_intermediate: int,
+        vocab_size: int,
+        ssm_cfg=None,
+        attn_layer_idx=None,
+        attn_cfg=None,
+        norm_epsilon: float = 1e-5,
+        rms_norm: bool = False,
+        initializer_cfg=None,
+        fused_add_norm=False,
+        residual_in_fp32=False,
+        device=None,
+        dtype=None,
+    ) -> None:
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.residual_in_fp32 = residual_in_fp32
+
+        self.embedding = nn.Embedding(vocab_size, d_model, **factory_kwargs)
+
+        # We change the order of residual and layer norm:
+        # Instead of LN -> Attn / MLP -> Add, we do:
+        # Add -> LN -> Attn / MLP / Mixer, returning both the residual branch (output of Add) and
+        # the main branch (output of MLP / Mixer). The model definition is unchanged.
+        # This is for performance reason: we can fuse add + layer_norm.
+        self.fused_add_norm = fused_add_norm
+        if self.fused_add_norm:
+            if layer_norm_fn is None or rms_norm_fn is None:
+                raise ImportError("Failed to import Triton LayerNorm / RMSNorm kernels")
+
+        self.layers = nn.ModuleList(
+            [
+                create_block(
+                    d_model,
+                    d_intermediate=d_intermediate,
+                    ssm_cfg=ssm_cfg,
+                    attn_layer_idx=attn_layer_idx,
+                    attn_cfg=attn_cfg,
+                    norm_epsilon=norm_epsilon,
+                    rms_norm=rms_norm,
+                    residual_in_fp32=residual_in_fp32,
+                    fused_add_norm=fused_add_norm,
+                    layer_idx=i,
+                    **factory_kwargs,
+                )
+                for i in range(n_layer)
+            ]
+        )
+
+        self.norm_f = (nn.LayerNorm if not rms_norm else RMSNorm)(
+            d_model, eps=norm_epsilon, **factory_kwargs
+        )
+
+        self.apply(
+            partial(
+                _init_weights,
+                n_layer=n_layer,
+                **(initializer_cfg if initializer_cfg is not None else {}),
+                n_residuals_per_layer=1 if d_intermediate == 0 else 2,  # 2 if we have MLP
+            )
+        )
+
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs):
+        return {
+            i: layer.allocate_inference_cache(batch_size, max_seqlen, dtype=dtype, **kwargs)
+            for i, layer in enumerate(self.layers)
+        }
+
+    def forward(self, input_ids, inference_params=None, **mixer_kwargs):
+        hidden_states = self.embedding(input_ids)
+        residual = None
+        for layer in self.layers:
+            hidden_states, residual = layer(
+                hidden_states, residual, inference_params=inference_params, **mixer_kwargs
+            )
+        if not self.fused_add_norm:
+            residual = (hidden_states + residual) if residual is not None else hidden_states
+            hidden_states = self.norm_f(residual.to(dtype=self.norm_f.weight.dtype))
+        else:
+            # Set prenorm=False here since we don't need the residual
+            hidden_states = layer_norm_fn(
+                hidden_states,
+                self.norm_f.weight,
+                self.norm_f.bias,
+                eps=self.norm_f.eps,
+                residual=residual,
+                prenorm=False,
+                residual_in_fp32=self.residual_in_fp32,
+                is_rms_norm=isinstance(self.norm_f, RMSNorm)
+            )
+        return hidden_states
+
+
+class MambaLMHeadModel(nn.Module, GenerationMixin):
+
+    def __init__(
+        self,
+        config: MambaConfig,
+        initializer_cfg=None,
+        device=None,
+        dtype=None,
+    ) -> None:
+        self.config = config
+        d_model = config.d_model
+        n_layer = config.n_layer
+        d_intermediate = config.d_intermediate
+        vocab_size = config.vocab_size
+        ssm_cfg = config.ssm_cfg
+        attn_layer_idx = config.attn_layer_idx
+        attn_cfg = config.attn_cfg
+        rms_norm = config.rms_norm
+        residual_in_fp32 = config.residual_in_fp32
+        fused_add_norm = config.fused_add_norm
+        pad_vocab_size_multiple = config.pad_vocab_size_multiple
+        factory_kwargs = {"device": device, "dtype": dtype}
+
+        super().__init__()
+        if vocab_size % pad_vocab_size_multiple != 0:
+            vocab_size += pad_vocab_size_multiple - (vocab_size % pad_vocab_size_multiple)
+        self.backbone = MixerModel(
+            d_model=d_model,
+            n_layer=n_layer,
+            d_intermediate=d_intermediate,
+            vocab_size=vocab_size,
+            ssm_cfg=ssm_cfg,
+            attn_layer_idx=attn_layer_idx,
+            attn_cfg=attn_cfg,
+            rms_norm=rms_norm,
+            initializer_cfg=initializer_cfg,
+            fused_add_norm=fused_add_norm,
+            residual_in_fp32=residual_in_fp32,
+            **factory_kwargs,
+        )
+        self.lm_head = nn.Linear(d_model, vocab_size, bias=False, **factory_kwargs)
+
+        # Initialize weights and apply final processing
+        self.apply(
+            partial(
+                _init_weights,
+                n_layer=n_layer,
+                **(initializer_cfg if initializer_cfg is not None else {}),
+            )
+        )
+        self.tie_weights()
+
+    def tie_weights(self):
+        if self.config.tie_embeddings:
+            self.lm_head.weight = self.backbone.embedding.weight
+
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs):
+        return self.backbone.allocate_inference_cache(batch_size, max_seqlen, dtype=dtype, **kwargs)
+
+    def forward(self, input_ids, position_ids=None, inference_params=None, num_last_tokens=0, **mixer_kwargs):
+        """
+        "position_ids" is just to be compatible with Transformer generation. We don't use it.
+        num_last_tokens: if > 0, only return the logits for the last n tokens
+        """
+        hidden_states = self.backbone(input_ids, inference_params=inference_params, **mixer_kwargs)
+        if num_last_tokens > 0:
+            hidden_states = hidden_states[:, -num_last_tokens:]
+        lm_logits = self.lm_head(hidden_states)
+        CausalLMOutput = namedtuple("CausalLMOutput", ["logits"])
+        return CausalLMOutput(logits=lm_logits)
+
+    @classmethod
+    def from_pretrained(cls, pretrained_model_name, device=None, dtype=None, **kwargs):
+        config_data = load_config_hf(pretrained_model_name)
+        config = MambaConfig(**config_data)
+        model = cls(config, device=device, dtype=dtype, **kwargs)
+        model.load_state_dict(load_state_dict_hf(pretrained_model_name, device=device, dtype=dtype))
+        return model
+
+    def save_pretrained(self, save_directory):
+        """
+        Minimal implementation of save_pretrained for MambaLMHeadModel.
+        Save the model and its configuration file to a directory.
+        """
+        # Ensure save_directory exists
+        os.makedirs(save_directory, exist_ok=True)
+
+        # Save the model's state_dict
+        model_path = os.path.join(save_directory, 'pytorch_model.bin')
+        torch.save(self.state_dict(), model_path)
+
+        # Save the configuration of the model
+        config_path = os.path.join(save_directory, 'config.json')
+        with open(config_path, 'w') as f:
+            json.dump(self.config.__dict__, f, indent=4)

mamba/build/lib/mamba_ssm/modules/block.py

@@ -0,0 +1,91 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+from typing import Optional
+
+import torch
+from torch import nn, Tensor
+
+from mamba_ssm.ops.triton.layer_norm import RMSNorm, layer_norm_fn
+
+
+class Block(nn.Module):
+    def __init__(
+        self, dim, mixer_cls, mlp_cls, norm_cls=nn.LayerNorm, fused_add_norm=False, residual_in_fp32=False
+    ):
+        """
+        Simple block wrapping a mixer class with LayerNorm/RMSNorm and residual connection"
+
+        This Block has a slightly different structure compared to a regular
+        prenorm Transformer block.
+        The standard block is: LN -> MHA/MLP -> Add.
+        [Ref: https://arxiv.org/abs/2002.04745]
+        Here we have: Add -> LN -> Mixer, returning both
+        the hidden_states (output of the mixer) and the residual.
+        This is purely for performance reasons, as we can fuse add and LayerNorm.
+        The residual needs to be provided (except for the very first block).
+        """
+        super().__init__()
+        self.residual_in_fp32 = residual_in_fp32
+        self.fused_add_norm = fused_add_norm
+        self.norm = norm_cls(dim)
+        self.mixer = mixer_cls(dim)
+        if mlp_cls is not nn.Identity:
+            self.norm2 = norm_cls(dim)
+            self.mlp = mlp_cls(dim)
+        else:
+            self.mlp = None
+        if self.fused_add_norm:
+            assert RMSNorm is not None, "RMSNorm import fails"
+            assert isinstance(
+                self.norm, (nn.LayerNorm, RMSNorm)
+            ), "Only LayerNorm and RMSNorm are supported for fused_add_norm"
+
+    def forward(
+            self, hidden_states: Tensor, residual: Optional[Tensor] = None, inference_params=None, **mixer_kwargs
+    ):
+        r"""Pass the input through the encoder layer.
+
+        Args:
+            hidden_states: the sequence to the encoder layer (required).
+            residual: hidden_states = Mixer(LN(residual))
+        """
+        if not self.fused_add_norm:
+            residual = (hidden_states + residual) if residual is not None else hidden_states
+            hidden_states = self.norm(residual.to(dtype=self.norm.weight.dtype))
+            if self.residual_in_fp32:
+                residual = residual.to(torch.float32)
+        else:
+            hidden_states, residual = layer_norm_fn(
+                hidden_states,
+                self.norm.weight,
+                self.norm.bias,
+                residual=residual,
+                prenorm=True,
+                residual_in_fp32=self.residual_in_fp32,
+                eps=self.norm.eps,
+                is_rms_norm=isinstance(self.norm, RMSNorm)
+            )
+        hidden_states = self.mixer(hidden_states, inference_params=inference_params, **mixer_kwargs)
+
+        if self.mlp is not None:
+            if not self.fused_add_norm:
+                residual = hidden_states + residual
+                hidden_states = self.norm2(residual.to(dtype=self.norm2.weight.dtype))
+                if self.residual_in_fp32:
+                    residual = residual.to(torch.float32)
+            else:
+                hidden_states, residual = layer_norm_fn(
+                    hidden_states,
+                    self.norm2.weight,
+                    self.norm2.bias,
+                    residual=residual,
+                    prenorm=True,
+                    residual_in_fp32=self.residual_in_fp32,
+                    eps=self.norm2.eps,
+                    is_rms_norm=isinstance(self.norm2, RMSNorm)
+                )
+            hidden_states = self.mlp(hidden_states)
+
+        return hidden_states, residual
+
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs):
+        return self.mixer.allocate_inference_cache(batch_size, max_seqlen, dtype=dtype, **kwargs)

mamba/build/lib/mamba_ssm/modules/mamba2.py

@@ -0,0 +1,383 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+import math
+
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+
+from einops import rearrange, repeat
+
+try:
+    from causal_conv1d import causal_conv1d_fn, causal_conv1d_update
+except ImportError:
+    causal_conv1d_fn, causal_conv1d_update = None, None
+
+try:
+    from causal_conv1d.causal_conv1d_varlen import causal_conv1d_varlen_states
+except ImportError:
+    causal_conv1d_varlen_states = None
+
+try:
+    from mamba_ssm.ops.triton.selective_state_update import selective_state_update
+except ImportError:
+    selective_state_update = None
+
+from mamba_ssm.ops.triton.layernorm_gated import RMSNorm as RMSNormGated
+
+from mamba_ssm.distributed.tensor_parallel import ColumnParallelLinear, RowParallelLinear
+from mamba_ssm.distributed.distributed_utils import all_reduce, reduce_scatter
+
+from mamba_ssm.ops.triton.ssd_combined import mamba_chunk_scan_combined
+from mamba_ssm.ops.triton.ssd_combined import mamba_split_conv1d_scan_combined
+
+from huggingface_hub import PyTorchModelHubMixin
+
+
+class Mamba2(nn.Module, PyTorchModelHubMixin):
+    def __init__(
+        self,
+        d_model,
+        d_state=128,
+        d_conv=4,
+        conv_init=None,
+        expand=2,
+        headdim=64,
+        d_ssm=None,  # If not None, we only apply SSM on this many dimensions, the rest uses gated MLP
+        ngroups=1,
+        A_init_range=(1, 16),
+        D_has_hdim=False,
+        rmsnorm=True,
+        norm_before_gate=False,
+        dt_min=0.001,
+        dt_max=0.1,
+        dt_init_floor=1e-4,
+        dt_limit=(0.0, float("inf")),
+        bias=False,
+        conv_bias=True,
+        # Fused kernel and sharding options
+        chunk_size=256,
+        use_mem_eff_path=True,
+        layer_idx=None,  # Absorb kwarg for general module
+        process_group=None,
+        sequence_parallel=True,
+        device=None,
+        dtype=None,
+    ):
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.d_model = d_model
+        self.d_state = d_state
+        self.d_conv = d_conv
+        self.conv_init = conv_init
+        self.expand = expand
+        self.process_group = process_group
+        self.sequence_parallel = sequence_parallel
+        self.world_size = 1 if process_group is None else process_group.size()
+        self.local_rank = 0 if process_group is None else process_group.rank()
+        self.d_inner = (self.expand * self.d_model) // self.world_size
+        assert self.d_inner * self.world_size == self.expand * self.d_model
+        self.headdim = headdim
+        self.d_ssm = self.d_inner if d_ssm is None else d_ssm // self.world_size
+        assert ngroups % self.world_size == 0
+        self.ngroups = ngroups // self.world_size
+        assert self.d_ssm % self.headdim == 0
+        self.nheads = self.d_ssm // self.headdim
+        self.D_has_hdim = D_has_hdim
+        self.rmsnorm = rmsnorm
+        self.norm_before_gate = norm_before_gate
+        self.dt_limit = dt_limit
+        self.activation = "silu"
+        self.chunk_size = chunk_size
+        self.use_mem_eff_path = use_mem_eff_path
+        self.layer_idx = layer_idx
+
+        # Order: [z, x, B, C, dt]
+        d_in_proj = 2 * self.d_inner + 2 * self.ngroups * self.d_state + self.nheads
+        if self.process_group is None:
+            self.in_proj = nn.Linear(self.d_model, d_in_proj, bias=bias, **factory_kwargs)
+        else:
+            self.in_proj = ColumnParallelLinear(self.d_model, d_in_proj * self.world_size, bias=bias,
+                                                process_group=self.process_group, sequence_parallel=self.sequence_parallel,
+                                                **factory_kwargs)
+
+        conv_dim = self.d_ssm + 2 * self.ngroups * self.d_state
+        self.conv1d = nn.Conv1d(
+            in_channels=conv_dim,
+            out_channels=conv_dim,
+            bias=conv_bias,
+            kernel_size=d_conv,
+            groups=conv_dim,
+            padding=d_conv - 1,
+            **factory_kwargs,
+        )
+        if self.conv_init is not None:
+            nn.init.uniform_(self.conv1d.weight, -self.conv_init, self.conv_init)
+
+        self.act = nn.SiLU()
+
+        # Initialize log dt bias
+        dt = torch.exp(
+            torch.rand(self.nheads, **factory_kwargs) * (math.log(dt_max) - math.log(dt_min))
+            + math.log(dt_min)
+        )
+        dt = torch.clamp(dt, min=dt_init_floor)
+        # Inverse of softplus: https://github.com/pytorch/pytorch/issues/72759
+        inv_dt = dt + torch.log(-torch.expm1(-dt))
+        self.dt_bias = nn.Parameter(inv_dt)
+        # Just to be explicit. Without this we already don't put wd on dt_bias because of the check
+        # name.endswith("bias") in param_grouping.py
+        self.dt_bias._no_weight_decay = True
+
+        assert A_init_range[0] > 0 and A_init_range[1] >= A_init_range[0]
+        A = torch.empty(self.nheads, dtype=torch.float32, device=device).uniform_(*A_init_range)
+        A_log = torch.log(A).to(dtype=dtype)
+        self.A_log = nn.Parameter(A_log)
+        self.A_log._no_weight_decay = True
+
+        # D "skip" parameter
+        self.D = nn.Parameter(torch.ones(self.d_ssm if self.D_has_hdim else self.nheads, device=device))
+        self.D._no_weight_decay = True
+
+        if self.rmsnorm:
+            assert RMSNormGated is not None
+            self.norm = RMSNormGated(self.d_ssm, eps=1e-5, norm_before_gate=self.norm_before_gate,
+                                     group_size=self.d_ssm // ngroups, **factory_kwargs)
+
+        if self.process_group is None:
+            self.out_proj = nn.Linear(self.d_inner, self.d_model, bias=bias, **factory_kwargs)
+        else:
+            self.out_proj = RowParallelLinear(self.d_inner * self.world_size, self.d_model, bias=bias,
+                                              process_group=self.process_group, sequence_parallel=self.sequence_parallel,
+                                              **factory_kwargs)
+
+    def forward(self, u, seqlen=None, seq_idx=None, cu_seqlens=None, inference_params=None):
+        """
+        u: (batch, seqlen, hidden_dim) if seqlen=None.
+            If seqlen is not None, u is (batch * seqlen, hidden_dim). This is so that when we
+            split u during sequence parallel, we split the batch * seqlen dimension
+            (in case batch is small).
+        Returns: same shape as u
+        """
+        seqlen_og = seqlen
+        if seqlen is None:
+            batch, seqlen, dim = u.shape
+        else:
+            batch_seqlen, dim = u.shape
+            batch = batch_seqlen // seqlen
+
+        conv_state, ssm_state = None, None
+        if inference_params is not None:
+            inference_batch = cu_seqlens.shape[0] - 1 if cu_seqlens is not None else batch
+            conv_state, ssm_state = self._get_states_from_cache(inference_params, inference_batch)
+            if inference_params.seqlen_offset > 0:
+                # The states are updated inplace
+                out, _, _ = self.step(u, conv_state, ssm_state)
+                return out
+
+        zxbcdt = self.in_proj(u)  # (B, L, d_in_proj) or (B * L, d_in_proj)
+        if seqlen_og is not None:
+            zxbcdt = rearrange(zxbcdt, "(b l) d -> b l d", l=seqlen)
+        # If the model is loaded in fp16, without the .float() here, A might be -inf
+        A = -torch.exp(self.A_log.float())  # (nheads) or (d_inner, d_state)
+        dt_limit_kwargs = {} if self.dt_limit == (0.0, float("inf")) else dict(dt_limit=self.dt_limit)
+        if self.use_mem_eff_path and inference_params is None:
+            out = mamba_split_conv1d_scan_combined(
+                zxbcdt,
+                rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                self.conv1d.bias,
+                self.dt_bias,
+                A,
+                D=rearrange(self.D, "(h p) -> h p", p=self.headdim) if self.D_has_hdim else self.D,
+                chunk_size=self.chunk_size,
+                seq_idx=seq_idx,
+                activation=self.activation,
+                rmsnorm_weight=self.norm.weight if self.rmsnorm else None,
+                rmsnorm_eps=self.norm.eps if self.rmsnorm else 1e-6,
+                outproj_weight=self.out_proj.weight,
+                outproj_bias=self.out_proj.bias,
+                headdim=None if self.D_has_hdim else self.headdim,
+                ngroups=self.ngroups,
+                norm_before_gate=self.norm_before_gate,
+                **dt_limit_kwargs,
+            )
+            if seqlen_og is not None:
+                out = rearrange(out, "b l d -> (b l) d")
+            if self.process_group is not None:
+                reduce_fn = reduce_scatter if self.sequence_parallel else all_reduce
+                out = reduce_fn(out, self.process_group)
+        else:
+            d_mlp = (zxbcdt.shape[-1] - 2 * self.d_ssm - 2 * self.ngroups * self.d_state - self.nheads) // 2
+            z0, x0, z, xBC, dt = torch.split(
+                zxbcdt,
+                [d_mlp, d_mlp, self.d_ssm, self.d_ssm + 2 * self.ngroups * self.d_state, self.nheads],
+                dim=-1
+            )
+            if conv_state is not None:
+                if cu_seqlens is None:
+                    # If we just take xBC[:, :, -self.d_conv :], it will error if seqlen < self.d_conv
+                    # Instead F.pad will pad with zeros if seqlen < self.d_conv, and truncate otherwise.
+                    xBC_t = rearrange(xBC, "b l d -> b d l")
+                    conv_state.copy_(F.pad(xBC_t, (self.d_conv - xBC_t.shape[-1], 0)))  # Update state (B D W)
+                else:
+                    assert causal_conv1d_varlen_states is not None, "varlen inference requires causal_conv1d package"
+                    assert batch == 1, "varlen inference only supports batch dimension 1"
+                    conv_varlen_states = causal_conv1d_varlen_states(
+                        xBC.squeeze(0), cu_seqlens, state_len=conv_state.shape[-1]
+                    )
+                    conv_state.copy_(conv_varlen_states)
+            assert self.activation in ["silu", "swish"]
+            if causal_conv1d_fn is None or self.activation not in ["silu", "swish"]:
+                assert seq_idx is None, "varlen conv1d requires the causal_conv1d package"
+                xBC = self.act(
+                    self.conv1d(xBC.transpose(1, 2)).transpose(1, 2)[:, -(self.dconv - 1):]
+                )  # (B, L, self.d_ssm + 2 * ngroups * d_state)
+            else:
+                xBC = causal_conv1d_fn(
+                    xBC.transpose(1, 2),
+                    rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                    bias=self.conv1d.bias,
+                    activation=self.activation,
+                    seq_idx=seq_idx,
+                ).transpose(1, 2)
+            x, B, C = torch.split(xBC, [self.d_ssm, self.ngroups * self.d_state, self.ngroups * self.d_state], dim=-1)
+            y = mamba_chunk_scan_combined(
+                rearrange(x, "b l (h p) -> b l h p", p=self.headdim),
+                dt,
+                A,
+                rearrange(B, "b l (g n) -> b l g n", g=self.ngroups),
+                rearrange(C, "b l (g n) -> b l g n", g=self.ngroups),
+                chunk_size=self.chunk_size,
+                D=rearrange(self.D, "(h p) -> h p", p=self.headdim) if self.D_has_hdim else self.D,
+                z=rearrange(z, "b l (h p) -> b l h p", p=self.headdim) if not self.rmsnorm else None,
+                dt_bias=self.dt_bias,
+                dt_softplus=True,
+                seq_idx=seq_idx,
+                cu_seqlens=cu_seqlens,
+                **dt_limit_kwargs,
+                return_final_states=ssm_state is not None,
+                return_varlen_states=cu_seqlens is not None and inference_params is not None,
+            )
+            if ssm_state is not None:
+                y, last_state, *rest = y
+                if cu_seqlens is None:
+                    ssm_state.copy_(last_state)
+                else:
+                    varlen_states = rest[0]
+                    ssm_state.copy_(varlen_states)
+            y = rearrange(y, "b l h p -> b l (h p)")
+            if self.rmsnorm:
+                y = self.norm(y, z)
+            if d_mlp > 0:
+                y = torch.cat([F.silu(z0) * x0, y], dim=-1)
+            if seqlen_og is not None:
+                y = rearrange(y, "b l d -> (b l) d")
+            out = self.out_proj(y)
+        return out
+
+    def step(self, hidden_states, conv_state, ssm_state):
+        dtype = hidden_states.dtype
+        assert hidden_states.shape[1] == 1, "Only support decoding with 1 token at a time for now"
+        zxbcdt = self.in_proj(hidden_states.squeeze(1))  # (B 2D)
+        d_mlp = (zxbcdt.shape[-1] - 2 * self.d_ssm - 2 * self.ngroups * self.d_state - self.nheads) // 2
+        z0, x0, z, xBC, dt = torch.split(
+            zxbcdt,
+            [d_mlp, d_mlp, self.d_ssm, self.d_ssm + 2 * self.ngroups * self.d_state, self.nheads],
+            dim=-1
+        )
+
+        # Conv step
+        if causal_conv1d_update is None:
+            conv_state.copy_(torch.roll(conv_state, shifts=-1, dims=-1))  # Update state (B D W)
+            conv_state[:, :, -1] = xBC
+            xBC = torch.sum(conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1)  # (B D)
+            if self.conv1d.bias is not None:
+                xBC = xBC + self.conv1d.bias
+            xBC = self.act(xBC).to(dtype=dtype)
+        else:
+            xBC = causal_conv1d_update(
+                xBC,
+                conv_state,
+                rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                self.conv1d.bias,
+                self.activation,
+            )
+
+        x, B, C = torch.split(xBC, [self.d_ssm, self.ngroups * self.d_state, self.ngroups * self.d_state], dim=-1)
+        A = -torch.exp(self.A_log.float())  # (nheads,)
+
+        # SSM step
+        if selective_state_update is None:
+            assert self.ngroups == 1, "Only support ngroups=1 for this inference code path"
+            # Discretize A and B
+            dt = F.softplus(dt + self.dt_bias.to(dtype=dt.dtype))  # (batch, nheads)
+            dA = torch.exp(dt * A)  # (batch, nheads)
+            x = rearrange(x, "b (h p) -> b h p", p=self.headdim)
+            dBx = torch.einsum("bh,bn,bhp->bhpn", dt, B, x)
+            ssm_state.copy_(ssm_state * rearrange(dA, "b h -> b h 1 1") + dBx)
+            y = torch.einsum("bhpn,bn->bhp", ssm_state.to(dtype), C)
+            y = y + rearrange(self.D.to(dtype), "h -> h 1") * x
+            y = rearrange(y, "b h p -> b (h p)")
+            if not self.rmsnorm:
+                y = y * self.act(z)  # (B D)
+        else:
+            A = repeat(A, "h -> h p n", p=self.headdim, n=self.d_state).to(dtype=torch.float32)
+            dt = repeat(dt, "b h -> b h p", p=self.headdim)
+            dt_bias = repeat(self.dt_bias, "h -> h p", p=self.headdim)
+            D = repeat(self.D, "h -> h p", p=self.headdim)
+            B = rearrange(B, "b (g n) -> b g n", g=self.ngroups)
+            C = rearrange(C, "b (g n) -> b g n", g=self.ngroups)
+            x_reshaped = rearrange(x, "b (h p) -> b h p", p=self.headdim)
+            if not self.rmsnorm:
+                z = rearrange(z, "b (h p) -> b h p", p=self.headdim)
+            y = selective_state_update(
+                ssm_state, x_reshaped, dt, A, B, C, D, z=z if not self.rmsnorm else None,
+                dt_bias=dt_bias, dt_softplus=True
+            )
+            y = rearrange(y, "b h p -> b (h p)")
+        if self.rmsnorm:
+            y = self.norm(y, z)
+        if d_mlp > 0:
+            y = torch.cat([F.silu(z0) * x0, y], dim=-1)
+        out = self.out_proj(y)
+        return out.unsqueeze(1), conv_state, ssm_state
+
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs):
+        device = self.out_proj.weight.device
+        conv_dtype = self.conv1d.weight.dtype if dtype is None else dtype
+        conv_state = torch.zeros(
+            batch_size, self.d_conv, self.conv1d.weight.shape[0], device=device, dtype=conv_dtype
+        ).transpose(1, 2)
+        ssm_dtype = self.in_proj.weight.dtype if dtype is None else dtype
+        ssm_state = torch.zeros(
+            batch_size, self.nheads, self.headdim, self.d_state, device=device, dtype=ssm_dtype
+        )
+        return conv_state, ssm_state
+
+    def _get_states_from_cache(self, inference_params, batch_size, initialize_states=False):
+        assert self.layer_idx is not None
+        if self.layer_idx not in inference_params.key_value_memory_dict:
+            batch_shape = (batch_size,)
+            conv_state = torch.zeros(
+                batch_size,
+                self.d_conv,
+                self.conv1d.weight.shape[0],
+                device=self.conv1d.weight.device,
+                dtype=self.conv1d.weight.dtype,
+            ).transpose(1, 2)
+            ssm_state = torch.zeros(
+                batch_size,
+                self.nheads,
+                self.headdim,
+                self.d_state,
+                device=self.in_proj.weight.device,
+                dtype=self.in_proj.weight.dtype,
+            )
+            inference_params.key_value_memory_dict[self.layer_idx] = (conv_state, ssm_state)
+        else:
+            conv_state, ssm_state = inference_params.key_value_memory_dict[self.layer_idx]
+            # TODO: What if batch size changes between generation, and we reuse the same states?
+            if initialize_states:
+                conv_state.zero_()
+                ssm_state.zero_()
+        return conv_state, ssm_state

mamba/build/lib/mamba_ssm/modules/mamba2_simple.py

@@ -0,0 +1,200 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+import math
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+
+from einops import rearrange, repeat
+
+try:
+    from causal_conv1d import causal_conv1d_fn
+except ImportError:
+    causal_conv1d_fn = None
+
+try:
+    from mamba_ssm.ops.triton.layernorm_gated import RMSNorm as RMSNormGated, LayerNorm
+except ImportError:
+    RMSNormGated, LayerNorm = None, None
+
+from mamba_ssm.ops.triton.ssd_combined import mamba_chunk_scan_combined
+from mamba_ssm.ops.triton.ssd_combined import mamba_split_conv1d_scan_combined
+
+
+class Mamba2Simple(nn.Module):
+    def __init__(
+        self,
+        d_model,
+        d_state=64,
+        d_conv=4,
+        conv_init=None,
+        expand=2,
+        headdim=128,
+        ngroups=1,
+        A_init_range=(1, 16),
+        dt_min=0.001,
+        dt_max=0.1,
+        dt_init_floor=1e-4,
+        dt_limit=(0.0, float("inf")),
+        learnable_init_states=False,
+        activation="swish",
+        bias=False,
+        conv_bias=True,
+        # Fused kernel and sharding options
+        chunk_size=256,
+        use_mem_eff_path=True,
+        layer_idx=None,  # Absorb kwarg for general module
+        device=None,
+        dtype=None,
+    ):
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.d_model = d_model
+        self.d_state = d_state
+        self.d_conv = d_conv
+        self.conv_init = conv_init
+        self.expand = expand
+        self.d_inner = self.expand * self.d_model
+        self.headdim = headdim
+        self.ngroups = ngroups
+        assert self.d_inner % self.headdim == 0
+        self.nheads = self.d_inner // self.headdim
+        self.dt_limit = dt_limit
+        self.learnable_init_states = learnable_init_states
+        self.activation = activation
+        self.chunk_size = chunk_size
+        self.use_mem_eff_path = use_mem_eff_path
+        self.layer_idx = layer_idx
+
+        # Order: [z, x, B, C, dt]
+        d_in_proj = 2 * self.d_inner + 2 * self.ngroups * self.d_state + self.nheads
+        self.in_proj = nn.Linear(self.d_model, d_in_proj, bias=bias, **factory_kwargs)
+
+        conv_dim = self.d_inner + 2 * self.ngroups * self.d_state
+        self.conv1d = nn.Conv1d(
+            in_channels=conv_dim,
+            out_channels=conv_dim,
+            bias=conv_bias,
+            kernel_size=d_conv,
+            groups=conv_dim,
+            padding=d_conv - 1,
+            **factory_kwargs,
+        )
+        if self.conv_init is not None:
+            nn.init.uniform_(self.conv1d.weight, -self.conv_init, self.conv_init)
+        # self.conv1d.weight._no_weight_decay = True
+
+        if self.learnable_init_states:
+            self.init_states = nn.Parameter(torch.zeros(self.nheads, self.headdim, self.d_state, **factory_kwargs))
+            self.init_states._no_weight_decay = True
+
+        self.act = nn.SiLU()
+
+        # Initialize log dt bias
+        dt = torch.exp(
+            torch.rand(self.nheads, **factory_kwargs) * (math.log(dt_max) - math.log(dt_min))
+            + math.log(dt_min)
+        )
+        dt = torch.clamp(dt, min=dt_init_floor)
+        # Inverse of softplus: https://github.com/pytorch/pytorch/issues/72759
+        inv_dt = dt + torch.log(-torch.expm1(-dt))
+        self.dt_bias = nn.Parameter(inv_dt)
+        # Just to be explicit. Without this we already don't put wd on dt_bias because of the check
+        # name.endswith("bias") in param_grouping.py
+        self.dt_bias._no_weight_decay = True
+
+        # A parameter
+        assert A_init_range[0] > 0 and A_init_range[1] >= A_init_range[0]
+        A = torch.empty(self.nheads, dtype=torch.float32, device=device).uniform_(*A_init_range)
+        A_log = torch.log(A).to(dtype=dtype)
+        self.A_log = nn.Parameter(A_log)
+        # self.register_buffer("A_log", torch.zeros(self.nheads, dtype=torch.float32, device=device), persistent=True)
+        self.A_log._no_weight_decay = True
+
+        # D "skip" parameter
+        self.D = nn.Parameter(torch.ones(self.nheads, device=device))
+        self.D._no_weight_decay = True
+
+        # Extra normalization layer right before output projection
+        assert RMSNormGated is not None
+        self.norm = RMSNormGated(self.d_inner, eps=1e-5, norm_before_gate=False, **factory_kwargs)
+
+        self.out_proj = nn.Linear(self.d_inner, self.d_model, bias=bias, **factory_kwargs)
+
+    def forward(self, u, seq_idx=None):
+        """
+        u: (B, L, D)
+        Returns: same shape as u
+        """
+        batch, seqlen, dim = u.shape
+
+        zxbcdt = self.in_proj(u)  # (B, L, d_in_proj)
+        A = -torch.exp(self.A_log)  # (nheads) or (d_inner, d_state)
+        initial_states=repeat(self.init_states, "... -> b ...", b=batch) if self.learnable_init_states else None
+        dt_limit_kwargs = {} if self.dt_limit == (0.0, float("inf")) else dict(dt_limit=self.dt_limit)
+
+        if self.use_mem_eff_path:
+            # Fully fused path
+            out = mamba_split_conv1d_scan_combined(
+                zxbcdt,
+                rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                self.conv1d.bias,
+                self.dt_bias,
+                A,
+                D=self.D,
+                chunk_size=self.chunk_size,
+                seq_idx=seq_idx,
+                activation=self.activation,
+                rmsnorm_weight=self.norm.weight,
+                rmsnorm_eps=self.norm.eps,
+                outproj_weight=self.out_proj.weight,
+                outproj_bias=self.out_proj.bias,
+                headdim=self.headdim,
+                ngroups=self.ngroups,
+                norm_before_gate=False,
+                initial_states=initial_states,
+                **dt_limit_kwargs,
+            )
+        else:
+            z, xBC, dt = torch.split(
+                zxbcdt, [self.d_inner, self.d_inner + 2 * self.ngroups * self.d_state, self.nheads], dim=-1
+            )
+            dt = F.softplus(dt + self.dt_bias)  # (B, L, nheads)
+            assert self.activation in ["silu", "swish"]
+
+            # 1D Convolution
+            if causal_conv1d_fn is None or self.activation not in ["silu", "swish"]:
+                xBC = self.act(
+                    self.conv1d(xBC.transpose(1, 2)).transpose(1, 2)
+                )  # (B, L, self.d_inner + 2 * ngroups * d_state)
+                xBC = xBC[:, :seqlen, :]
+            else:
+                xBC = causal_conv1d_fn(
+                    x=xBC.transpose(1, 2),
+                    weight=rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                    bias=self.conv1d.bias,
+                    activation=self.activation,
+                ).transpose(1, 2)
+
+            # Split into 3 main branches: X, B, C
+            # These correspond to V, K, Q respectively in the SSM/attention duality
+            x, B, C = torch.split(xBC, [self.d_inner, self.ngroups * self.d_state, self.ngroups * self.d_state], dim=-1)
+            y = mamba_chunk_scan_combined(
+                rearrange(x, "b l (h p) -> b l h p", p=self.headdim),
+                dt,
+                A,
+                rearrange(B, "b l (g n) -> b l g n", g=self.ngroups),
+                rearrange(C, "b l (g n) -> b l g n", g=self.ngroups),
+                chunk_size=self.chunk_size,
+                D=self.D,
+                z=None,
+                seq_idx=seq_idx,
+                initial_states=initial_states,
+                **dt_limit_kwargs,
+            )
+            y = rearrange(y, "b l h p -> b l (h p)")
+
+            # Multiply "gate" branch and apply extra normalization layer
+            y = self.norm(y, z)
+            out = self.out_proj(y)
+        return out

mamba/build/lib/mamba_ssm/modules/mamba_simple.py

@@ -0,0 +1,294 @@
+# Copyright (c) 2023, Tri Dao, Albert Gu.
+
+import math
+from typing import Optional
+
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+from torch import Tensor
+
+from einops import rearrange, repeat
+
+from mamba_ssm.ops.selective_scan_interface import selective_scan_fn, mamba_inner_fn
+
+try:
+    from causal_conv1d import causal_conv1d_fn, causal_conv1d_update
+except ImportError:
+    causal_conv1d_fn, causal_conv1d_update = None, None
+
+try:
+    from mamba_ssm.ops.triton.selective_state_update import selective_state_update
+except ImportError:
+    selective_state_update = None
+
+try:
+    from mamba_ssm.ops.triton.layer_norm import RMSNorm, layer_norm_fn, rms_norm_fn
+except ImportError:
+    RMSNorm, layer_norm_fn, rms_norm_fn = None, None, None
+
+
+class Mamba(nn.Module):
+    def __init__(
+        self,
+        d_model,
+        d_state=16,
+        d_conv=4,
+        expand=2,
+        dt_rank="auto",
+        dt_min=0.001,
+        dt_max=0.1,
+        dt_init="random",
+        dt_scale=1.0,
+        dt_init_floor=1e-4,
+        conv_bias=True,
+        bias=False,
+        use_fast_path=True,  # Fused kernel options
+        layer_idx=None,
+        device=None,
+        dtype=None,
+    ):
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.d_model = d_model
+        self.d_state = d_state
+        self.d_conv = d_conv
+        self.expand = expand
+        self.d_inner = int(self.expand * self.d_model)
+        self.dt_rank = math.ceil(self.d_model / 16) if dt_rank == "auto" else dt_rank
+        self.use_fast_path = use_fast_path
+        self.layer_idx = layer_idx
+
+        self.in_proj = nn.Linear(self.d_model, self.d_inner * 2, bias=bias, **factory_kwargs)
+
+        self.conv1d = nn.Conv1d(
+            in_channels=self.d_inner,
+            out_channels=self.d_inner,
+            bias=conv_bias,
+            kernel_size=d_conv,
+            groups=self.d_inner,
+            padding=d_conv - 1,
+            **factory_kwargs,
+        )
+
+        self.activation = "silu"
+        self.act = nn.SiLU()
+
+        self.x_proj = nn.Linear(
+            self.d_inner, self.dt_rank + self.d_state * 2, bias=False, **factory_kwargs
+        )
+        self.dt_proj = nn.Linear(self.dt_rank, self.d_inner, bias=True, **factory_kwargs)
+
+        # Initialize special dt projection to preserve variance at initialization
+        dt_init_std = self.dt_rank**-0.5 * dt_scale
+        if dt_init == "constant":
+            nn.init.constant_(self.dt_proj.weight, dt_init_std)
+        elif dt_init == "random":
+            nn.init.uniform_(self.dt_proj.weight, -dt_init_std, dt_init_std)
+        else:
+            raise NotImplementedError
+
+        # Initialize dt bias so that F.softplus(dt_bias) is between dt_min and dt_max
+        dt = torch.exp(
+            torch.rand(self.d_inner, **factory_kwargs) * (math.log(dt_max) - math.log(dt_min))
+            + math.log(dt_min)
+        ).clamp(min=dt_init_floor)
+        # Inverse of softplus: https://github.com/pytorch/pytorch/issues/72759
+        inv_dt = dt + torch.log(-torch.expm1(-dt))
+        with torch.no_grad():
+            self.dt_proj.bias.copy_(inv_dt)
+        # Our initialization would set all Linear.bias to zero, need to mark this one as _no_reinit
+        self.dt_proj.bias._no_reinit = True
+
+        # S4D real initialization
+        A = repeat(
+            torch.arange(1, self.d_state + 1, dtype=torch.float32, device=device),
+            "n -> d n",
+            d=self.d_inner,
+        ).contiguous()
+        A_log = torch.log(A)  # Keep A_log in fp32
+        self.A_log = nn.Parameter(A_log)
+        self.A_log._no_weight_decay = True
+
+        # D "skip" parameter
+        self.D = nn.Parameter(torch.ones(self.d_inner, device=device))  # Keep in fp32
+        self.D._no_weight_decay = True
+
+        self.out_proj = nn.Linear(self.d_inner, self.d_model, bias=bias, **factory_kwargs)
+
+    def forward(self, hidden_states, inference_params=None):
+        """
+        hidden_states: (B, L, D)
+        Returns: same shape as hidden_states
+        """
+        batch, seqlen, dim = hidden_states.shape
+
+        conv_state, ssm_state = None, None
+        if inference_params is not None:
+            conv_state, ssm_state = self._get_states_from_cache(inference_params, batch)
+            if inference_params.seqlen_offset > 0:
+                # The states are updated inplace
+                out, _, _ = self.step(hidden_states, conv_state, ssm_state)
+                return out
+
+        # We do matmul and transpose BLH -> HBL at the same time
+        xz = rearrange(
+            self.in_proj.weight @ rearrange(hidden_states, "b l d -> d (b l)"),
+            "d (b l) -> b d l",
+            l=seqlen,
+        )
+        if self.in_proj.bias is not None:
+            xz = xz + rearrange(self.in_proj.bias.to(dtype=xz.dtype), "d -> d 1")
+
+        A = -torch.exp(self.A_log.float())  # (d_inner, d_state)
+        # In the backward pass we write dx and dz next to each other to avoid torch.cat
+        if self.use_fast_path and causal_conv1d_fn is not None and inference_params is None:  # Doesn't support outputting the states
+            out = mamba_inner_fn(
+                xz,
+                self.conv1d.weight,
+                self.conv1d.bias,
+                self.x_proj.weight,
+                self.dt_proj.weight,
+                self.out_proj.weight,
+                self.out_proj.bias,
+                A,
+                None,  # input-dependent B
+                None,  # input-dependent C
+                self.D.float(),
+                delta_bias=self.dt_proj.bias.float(),
+                delta_softplus=True,
+            )
+        else:
+            x, z = xz.chunk(2, dim=1)
+            # Compute short convolution
+            if conv_state is not None:
+                # If we just take x[:, :, -self.d_conv :], it will error if seqlen < self.d_conv
+                # Instead F.pad will pad with zeros if seqlen < self.d_conv, and truncate otherwise.
+                conv_state.copy_(F.pad(x, (self.d_conv - x.shape[-1], 0)))  # Update state (B D W)
+            if causal_conv1d_fn is None:
+                x = self.act(self.conv1d(x)[..., :seqlen])
+            else:
+                assert self.activation in ["silu", "swish"]
+                x = causal_conv1d_fn(
+                    x=x,
+                    weight=rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                    bias=self.conv1d.bias,
+                    activation=self.activation,
+                )
+
+            # We're careful here about the layout, to avoid extra transposes.
+            # We want dt to have d as the slowest moving dimension
+            # and L as the fastest moving dimension, since those are what the ssm_scan kernel expects.
+            x_dbl = self.x_proj(rearrange(x, "b d l -> (b l) d"))  # (bl d)
+            dt, B, C = torch.split(x_dbl, [self.dt_rank, self.d_state, self.d_state], dim=-1)
+            dt = self.dt_proj.weight @ dt.t()
+            dt = rearrange(dt, "d (b l) -> b d l", l=seqlen)
+            B = rearrange(B, "(b l) dstate -> b dstate l", l=seqlen).contiguous()
+            C = rearrange(C, "(b l) dstate -> b dstate l", l=seqlen).contiguous()
+            assert self.activation in ["silu", "swish"]
+            y = selective_scan_fn(
+                x,
+                dt,
+                A,
+                B,
+                C,
+                self.D.float(),
+                z=z,
+                delta_bias=self.dt_proj.bias.float(),
+                delta_softplus=True,
+                return_last_state=ssm_state is not None,
+            )
+            if ssm_state is not None:
+                y, last_state = y
+                ssm_state.copy_(last_state)
+            y = rearrange(y, "b d l -> b l d")
+            out = self.out_proj(y)
+        return out
+
+    def step(self, hidden_states, conv_state, ssm_state):
+        dtype = hidden_states.dtype
+        assert hidden_states.shape[1] == 1, "Only support decoding with 1 token at a time for now"
+        xz = self.in_proj(hidden_states.squeeze(1))  # (B 2D)
+        x, z = xz.chunk(2, dim=-1)  # (B D)
+
+        # Conv step
+        if causal_conv1d_update is None:
+            conv_state.copy_(torch.roll(conv_state, shifts=-1, dims=-1))  # Update state (B D W)
+            conv_state[:, :, -1] = x
+            x = torch.sum(conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1)  # (B D)
+            if self.conv1d.bias is not None:
+                x = x + self.conv1d.bias
+            x = self.act(x).to(dtype=dtype)
+        else:
+            x = causal_conv1d_update(
+                x,
+                conv_state,
+                rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                self.conv1d.bias,
+                self.activation,
+            )
+
+        x_db = self.x_proj(x)  # (B dt_rank+2*d_state)
+        dt, B, C = torch.split(x_db, [self.dt_rank, self.d_state, self.d_state], dim=-1)
+        # Don't add dt_bias here
+        dt = F.linear(dt, self.dt_proj.weight)  # (B d_inner)
+        A = -torch.exp(self.A_log.float())  # (d_inner, d_state)
+
+        # SSM step
+        if selective_state_update is None:
+            # Discretize A and B
+            dt = F.softplus(dt + self.dt_proj.bias.to(dtype=dt.dtype))
+            dA = torch.exp(torch.einsum("bd,dn->bdn", dt, A))
+            dB = torch.einsum("bd,bn->bdn", dt, B)
+            ssm_state.copy_(ssm_state * dA + rearrange(x, "b d -> b d 1") * dB)
+            y = torch.einsum("bdn,bn->bd", ssm_state.to(dtype), C)
+            y = y + self.D.to(dtype) * x
+            y = y * self.act(z)  # (B D)
+        else:
+            y = selective_state_update(
+                ssm_state, x, dt, A, B, C, self.D, z=z, dt_bias=self.dt_proj.bias, dt_softplus=True
+            )
+
+        out = self.out_proj(y)
+        return out.unsqueeze(1), conv_state, ssm_state
+
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs):
+        device = self.out_proj.weight.device
+        conv_dtype = self.conv1d.weight.dtype if dtype is None else dtype
+        conv_state = torch.zeros(
+            batch_size, self.d_model * self.expand, self.d_conv, device=device, dtype=conv_dtype
+        )
+        ssm_dtype = self.dt_proj.weight.dtype if dtype is None else dtype
+        # ssm_dtype = torch.float32
+        ssm_state = torch.zeros(
+            batch_size, self.d_model * self.expand, self.d_state, device=device, dtype=ssm_dtype
+        )
+        return conv_state, ssm_state
+
+    def _get_states_from_cache(self, inference_params, batch_size, initialize_states=False):
+        assert self.layer_idx is not None
+        if self.layer_idx not in inference_params.key_value_memory_dict:
+            batch_shape = (batch_size,)
+            conv_state = torch.zeros(
+                batch_size,
+                self.d_model * self.expand,
+                self.d_conv,
+                device=self.conv1d.weight.device,
+                dtype=self.conv1d.weight.dtype,
+            )
+            ssm_state = torch.zeros(
+                batch_size,
+                self.d_model * self.expand,
+                self.d_state,
+                device=self.dt_proj.weight.device,
+                dtype=self.dt_proj.weight.dtype,
+                # dtype=torch.float32,
+            )
+            inference_params.key_value_memory_dict[self.layer_idx] = (conv_state, ssm_state)
+        else:
+            conv_state, ssm_state = inference_params.key_value_memory_dict[self.layer_idx]
+            # TODO: What if batch size changes between generation, and we reuse the same states?
+            if initialize_states:
+                conv_state.zero_()
+                ssm_state.zero_()
+        return conv_state, ssm_state

mamba/build/lib/mamba_ssm/modules/mha.py

@@ -0,0 +1,294 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+import math
+
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+from einops import rearrange
+
+try:
+    from flash_attn import flash_attn_with_kvcache
+except ImportError:
+    flash_attn_with_kvcache = None
+
+try:
+    from flash_attn.layers.rotary import RotaryEmbedding
+except ImportError:
+    RotaryEmbedding = None
+
+try:
+    from causal_conv1d import causal_conv1d_fn, causal_conv1d_update
+except ImportError:
+    causal_conv1d_fn, causal_conv1d_update = None, None
+
+
+def _update_kv_cache(kv, inference_params, layer_idx):
+    """kv: (batch_size, seqlen, 2, nheads, head_dim) or (batch_size, 1, 2, nheads, head_dim)"""
+    # Pre-allocate memory for key-values for inference.
+    num_heads, head_dim = kv.shape[-2:]
+    assert layer_idx in inference_params.key_value_memory_dict
+    kv_cache, _ = inference_params.key_value_memory_dict[layer_idx]
+    # Adjust key and value for inference
+    batch_start = inference_params.batch_size_offset
+    batch_end = batch_start + kv.shape[0]
+    sequence_start = inference_params.seqlen_offset
+    sequence_end = sequence_start + kv.shape[1]
+    assert batch_end <= kv_cache.shape[0]
+    assert sequence_end <= kv_cache.shape[1]
+    assert kv_cache is not None
+    kv_cache[batch_start:batch_end, sequence_start:sequence_end, ...] = kv
+    return kv_cache[batch_start:batch_end, :sequence_end, ...]
+
+
+class MHA(nn.Module):
+    """Multi-head self-attention and cross-attention"""
+
+    def __init__(
+        self,
+        embed_dim,
+        num_heads,
+        num_heads_kv=None,
+        head_dim=None,  # If None, use embed_dim // num_heads
+        mlp_dim=0,
+        qkv_proj_bias=True,
+        out_proj_bias=True,
+        softmax_scale=None,
+        causal=False,
+        layer_idx=None,
+        d_conv=0,
+        rotary_emb_dim=0,
+        rotary_emb_base=10000.0,
+        rotary_emb_interleaved=False,
+        device=None,
+        dtype=None,
+    ) -> None:
+        """
+        num_heads_kv: can be used to toggle MQA / GQA. If None, use num_heads.
+        return_residual: whether to return the input x along with the output. This is for
+            performance reason: for post-norm architecture, returning the input allows us
+            to fuse the backward of nn.Linear with the residual connection.
+        """
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.embed_dim = embed_dim
+        self.layer_idx = layer_idx
+        self.d_conv = d_conv
+        self.rotary_emb_dim = rotary_emb_dim
+        self.softmax_scale = softmax_scale
+        self.causal = causal
+
+        self.num_heads = num_heads
+        self.num_heads_kv = num_heads_kv if num_heads_kv is not None else num_heads
+        assert (
+            self.num_heads % self.num_heads_kv == 0
+        ), "num_heads must be divisible by num_heads_kv"
+        if head_dim is None:
+            assert self.embed_dim % num_heads == 0, "embed_dim must be divisible by num_heads"
+        self.head_dim = head_dim if head_dim is not None else self.embed_dim // num_heads
+        self.mlp_dim = math.ceil(mlp_dim / 256) * 256
+        qkv_dim = self.head_dim * (self.num_heads + 2 * self.num_heads_kv)
+        out_dim = self.head_dim * self.num_heads
+
+        if self.rotary_emb_dim > 0:
+            assert RotaryEmbedding is not None, "rotary requires flash_attn to be installed"
+            self.rotary_emb = RotaryEmbedding(
+                self.rotary_emb_dim,
+                base=rotary_emb_base,
+                interleaved=rotary_emb_interleaved,
+                device=device,
+            )
+
+        self.in_proj = nn.Linear(embed_dim, qkv_dim + self.mlp_dim, bias=qkv_proj_bias, **factory_kwargs)
+        if self.d_conv > 0:
+            self.conv1d = nn.Conv1d(
+                qkv_dim, qkv_dim, kernel_size=self.d_conv, padding=self.d_conv - 1, groups=qkv_dim,
+                **factory_kwargs
+            )
+        self.out_proj = nn.Linear(out_dim + self.mlp_dim // 2, embed_dim, bias=out_proj_bias, **factory_kwargs)
+
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None):
+        dtype = self.out_proj.weight.dtype if dtype is None else dtype
+        device = self.out_proj.weight.device
+        if self.d_conv > 0:
+            conv_state = torch.zeros(
+                batch_size, self.conv1d.weight.shape[0], self.d_conv, device=device, dtype=dtype
+            )
+        else:
+            conv_state = None
+        kv_cache = torch.empty(
+            batch_size, max_seqlen, 2, self.num_heads_kv, self.head_dim, dtype=dtype, device=device,
+        )
+        return kv_cache, conv_state
+
+    def _update_kv_cache(self, kv, inference_params):
+        """kv: (batch_size, seqlen, 2, nheads, head_dim) or (batch_size, 1, 2, nheads, head_dim)"""
+        assert self.layer_idx is not None, "Generation requires layer_idx in the constructor"
+        return _update_kv_cache(kv, inference_params, self.layer_idx)
+
+    def _apply_rotary_update_kvcache_attention(self, q, kv, inference_params):
+        """
+        Fast path that combine 3 steps: apply rotary to Q and K, update kv cache, and apply attention.
+        q: (batch_size, seqlen_q, nheads, head_dim)
+        kv: (batch_size, seqlen_k, 2, nheads_kv, head_dim)
+        """
+        assert inference_params is not None and inference_params.seqlen_offset > 0
+        if self.rotary_emb_dim > 0:
+            self.rotary_emb._update_cos_sin_cache(
+                inference_params.max_seqlen, device=q.device, dtype=q.dtype
+            )
+            rotary_cos, rotary_sin = self.rotary_emb._cos_cached, self.rotary_emb._sin_cached
+        else:
+            rotary_cos, rotary_sin = None, None
+        batch = q.shape[0]
+        kv_cache, _ = inference_params.key_value_memory_dict[self.layer_idx]
+        kv_cache = kv_cache[:batch]
+        cache_seqlens = (
+            inference_params.lengths_per_sample[:batch]
+            if inference_params.lengths_per_sample is not None
+            else inference_params.seqlen_offset
+        )
+        assert flash_attn_with_kvcache is not None, "flash_attn must be installed"
+        context = flash_attn_with_kvcache(
+            q,
+            kv_cache[:, :, 0],
+            kv_cache[:, :, 1],
+            kv[:, :, 0],
+            kv[:, :, 1],
+            rotary_cos=rotary_cos,
+            rotary_sin=rotary_sin,
+            cache_seqlens=cache_seqlens,
+            softmax_scale=self.softmax_scale,
+            causal=self.causal,
+            rotary_interleaved=self.rotary_emb.interleaved if self.rotary_emb_dim > 0 else False,
+        )
+        return context
+
+    def _update_kvcache_attention(self, q, kv, inference_params):
+        """Write kv to inference_params, then do attention"""
+        if (
+            inference_params.seqlen_offset == 0
+            or flash_attn_with_kvcache is None
+        ):
+            # TODO: this only uses seqlen_offset and not lengths_per_sample.
+            kv = self._update_kv_cache(kv, inference_params)
+            k, v = kv.unbind(dim=-3)
+            k = torch.repeat_interleave(k, dim=2, repeats=self.num_heads // self.num_heads_kv)
+            v = torch.repeat_interleave(v, dim=2, repeats=self.num_heads // self.num_heads_kv)
+            return F.scaled_dot_product_attention(
+                q.transpose(1, 2), k.transpose(1, 2), v.transpose(1, 2), is_causal=self.causal, scale=self.softmax_scale
+            ).transpose(1, 2)
+        else:
+            batch = q.shape[0]
+            kv_cache, _ = inference_params.key_value_memory_dict[self.layer_idx]
+            kv_cache = kv_cache[:batch]
+            cache_seqlens = (
+                inference_params.lengths_per_sample[:batch]
+                if inference_params.lengths_per_sample is not None
+                else inference_params.seqlen_offset
+            )
+            return flash_attn_with_kvcache(
+                q,
+                kv_cache[:, :, 0],
+                kv_cache[:, :, 1],
+                kv[:, :, 0],
+                kv[:, :, 1],
+                cache_seqlens=cache_seqlens,
+                softmax_scale=self.softmax_scale,
+                causal=self.causal,
+            )
+
+    def forward(self, x, inference_params=None):
+        """
+        Arguments:
+            x: (batch, seqlen, hidden_dim) (where hidden_dim = num heads * head dim) if
+                cu_seqlens is None and max_seqlen is None, else (total, hidden_dim) where total
+                is the is the sum of the sequence lengths in the batch.
+            inference_params: for generation. Adapted from Megatron-LM (and Apex)
+            https://github.com/NVIDIA/apex/blob/3ff1a10f72ec07067c4e44759442329804ac5162/apex/transformer/testing/standalone_transformer_lm.py#L470
+        """
+        if inference_params is not None and self.layer_idx not in inference_params.key_value_memory_dict:
+            inference_params.key_value_memory_dict[self.layer_idx] = self.allocate_inference_cache(
+                x.shape[0], inference_params.max_seqlen, dtype=x.dtype
+            )
+        seqlen_offset = (
+            0
+            if inference_params is None
+            else (
+                inference_params.lengths_per_sample
+                if inference_params.lengths_per_sample is not None
+                else inference_params.seqlen_offset
+            )
+        )
+        rotary_max_seqlen = inference_params.max_seqlen if inference_params is not None else None
+        qkv = self.in_proj(x)
+        if self.mlp_dim > 0:
+            qkv, x_mlp = qkv.split([qkv.shape[-1] - self.mlp_dim, self.mlp_dim], dim=-1)
+            x_mlp_up, x_mlp_gate = x_mlp.chunk(2, dim=-1)
+            x_mlp = x_mlp_up * F.silu(x_mlp_gate)
+        if self.d_conv > 0:
+            # The inference code for conv1d is pretty messy, should clean it up
+            if (inference_params is None or inference_params.seqlen_offset == 0):
+                if causal_conv1d_fn is None:
+                    qkv = rearrange(
+                        self.conv1d(rearrange(qkv, "b s d -> b d s"))[..., :-(self.d_conv - 1)], "b d s -> b s d"
+                    ).contiguous()
+                else:
+                    qkv = causal_conv1d_fn(
+                        qkv.transpose(1, 2),
+                        rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                        self.conv1d.bias
+                    ).transpose(1, 2)
+                if inference_params is not None:
+                    _, conv_state = inference_params.key_value_memory_dict[self.layer_idx]
+                    # If we just take qkv[:, :, -self.d_conv :], it will error if seqlen < self.d_conv
+                    # Instead F.pad will pad with zeros if seqlen < self.d_conv, and truncate otherwise.
+                    qkv_t = rearrange(qkv, "b l d -> b d l")
+                    conv_state.copy_(F.pad(qkv_t, (self.d_conv - qkv_t.shape[-1], 0)))  # Update state (B D W)
+            else:
+                _, conv_state = inference_params.key_value_memory_dict[self.layer_idx]
+                assert qkv.shape[1] == 1, "Only support decoding with 1 token at a time for now"
+                qkv = qkv.squeeze(1)
+                # Conv step
+                if causal_conv1d_update is None:
+                    conv_state.copy_(torch.roll(conv_state, shifts=-1, dims=-1))  # Update state (B D W)
+                    conv_state[:, :, -1] = qkv
+                    qkv = torch.sum(conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1)  # (B D)
+                    if self.conv1d.bias is not None:
+                        qkv = qkv + self.conv1d.bias
+                else:
+                    qkv = causal_conv1d_update(
+                        qkv,
+                        conv_state,
+                        rearrange(self.conv1d.weight, "d 1 w -> d w"),
+                        self.conv1d.bias
+                    )
+                qkv = qkv.unsqueeze(1)
+        q, kv = qkv.split([self.num_heads * self.head_dim, self.num_heads_kv * 2 * self.head_dim], dim=-1)
+        q = rearrange(q, "... (h d) -> ... h d", d=self.head_dim)
+        kv = rearrange(kv, "... (two hkv d) -> ... two hkv d", two=2, d=self.head_dim)
+        if (
+            inference_params is None
+            or inference_params.seqlen_offset == 0
+            or (self.rotary_emb_dim == 0 or self.rotary_emb_dim % 16 != 0)
+        ):
+            if self.rotary_emb_dim > 0:
+                q, kv = self.rotary_emb(
+                    q, kv, seqlen_offset=seqlen_offset, max_seqlen=rotary_max_seqlen
+                )
+            if inference_params is None:
+                k, v = kv.unbind(dim=-3)
+                k = torch.repeat_interleave(k, dim=2, repeats=self.num_heads // self.num_heads_kv)
+                v = torch.repeat_interleave(v, dim=2, repeats=self.num_heads // self.num_heads_kv)
+                context = F.scaled_dot_product_attention(
+                    q.transpose(1, 2), k.transpose(1, 2), v.transpose(1, 2), is_causal=self.causal, scale=self.softmax_scale
+                ).transpose(1, 2)
+            else:
+                context = self._update_kvcache_attention(q, kv, inference_params)
+        else:
+            context = self._apply_rotary_update_kvcache_attention(q, kv, inference_params)
+        context = rearrange(context, "... h d -> ... (h d)")
+        if self.mlp_dim > 0:
+            context = torch.cat([context, x_mlp], dim=-1)
+        out = self.out_proj(context)
+        return out

mamba/build/lib/mamba_ssm/modules/mlp.py

@@ -0,0 +1,34 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+from torch import nn
+from torch.nn import functional as F
+
+
+class GatedMLP(nn.Module):
+    def __init__(
+        self,
+        in_features,
+        hidden_features=None,
+        out_features=None,
+        activation=F.silu,
+        bias=False,
+        multiple_of=128,
+        device=None,
+        dtype=None,
+    ):
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        out_features = out_features if out_features is not None else in_features
+        hidden_features = (
+            hidden_features if hidden_features is not None else int(8 * in_features / 3)
+        )
+        hidden_features = (hidden_features + multiple_of - 1) // multiple_of * multiple_of
+        self.fc1 = nn.Linear(in_features, 2 * hidden_features, bias=bias, **factory_kwargs)
+        self.activation = activation
+        self.fc2 = nn.Linear(hidden_features, out_features, bias=bias, **factory_kwargs)
+
+    def forward(self, x):
+        y = self.fc1(x)
+        y, gate = y.chunk(2, dim=-1)
+        y = y * self.activation(gate)
+        y = self.fc2(y)
+        return y

mamba/build/lib/mamba_ssm/modules/ssd_minimal.py

@@ -0,0 +1,103 @@
+# Copyright (c) 2024, Albert Gu and Tri Dao.
+"""Minimal implementation of SSD.
+
+This is the same as Listing 1 from the paper.
+"""
+
+import torch
+import torch.nn.functional as F
+from einops import rearrange, repeat
+
+from mamba_ssm.ops.triton.ssd_combined import mamba_chunk_scan_combined
+
+
+def segsum_unstable(x):
+    """Naive segment sum calculation."""
+    T = x.size(-1)
+    x_cumsum = torch.cumsum(x, dim=-1)
+    x_segsum = x_cumsum[..., :, None] - x_cumsum[..., None, :]
+    mask = torch.tril(torch.ones(T, T, device=x.device, dtype=bool), diagonal=0)
+    x_segsum = x_segsum.masked_fill(~mask, -torch.inf)
+    return x_segsum
+
+def segsum(x):
+    """More stable segment sum calculation."""
+    T = x.size(-1)
+    x = repeat(x, "... d -> ... d e", e=T)
+    mask = torch.tril(torch.ones(T, T, device=x.device, dtype=bool), diagonal=-1)
+    x = x.masked_fill(~mask, 0)
+    x_segsum = torch.cumsum(x, dim=-2)
+    mask = torch.tril(torch.ones(T, T, device=x.device, dtype=bool), diagonal=0)
+    x_segsum = x_segsum.masked_fill(~mask, -torch.inf)
+    return x_segsum
+
+def ssd_minimal_discrete(X, A, B, C, block_len, initial_states=None):
+    """
+    Arguments:
+        X: (batch, length, n_heads, d_head)
+        A: (batch, length, n_heads)
+        B: (batch, length, n_heads, d_state)
+        C: (batch, length, n_heads, d_state)
+    Return:
+        Y: (batch, length, n_heads, d_head)
+    """
+    assert X.dtype == A.dtype == B.dtype == C.dtype
+    assert X.shape[1] % block_len == 0
+
+    # Rearrange into blocks/chunks
+    X, A, B, C = [rearrange(x, "b (c l) ... -> b c l ...", l=block_len) for x in (X, A, B, C)]
+
+    A = rearrange(A, "b c l h -> b h c l")
+    A_cumsum = torch.cumsum(A, dim=-1)
+
+    # 1. Compute the output for each intra-chunk (diagonal blocks)
+    L = torch.exp(segsum(A))
+    Y_diag  = torch.einsum("bclhn,bcshn,bhcls,bcshp->bclhp", C, B, L, X)
+
+    # 2. Compute the state for each intra-chunk
+    # (right term of low-rank factorization of off-diagonal blocks; B terms)
+    decay_states = torch.exp((A_cumsum[:, :, :, -1:] - A_cumsum))
+    states = torch.einsum("bclhn,bhcl,bclhp->bchpn", B, decay_states, X)
+
+    # 3. Compute the inter-chunk SSM recurrence; produces correct SSM states at chunk boundaries
+    # (middle term of factorization of off-diag blocks; A terms)
+    if initial_states is None:
+        initial_states = torch.zeros_like(states[:, :1])
+    states = torch.cat([initial_states, states], dim=1)
+    decay_chunk = torch.exp(segsum(F.pad(A_cumsum[:, :, :, -1], (1, 0))))
+    new_states = torch.einsum("bhzc,bchpn->bzhpn", decay_chunk, states)
+    states, final_state = new_states[:, :-1], new_states[:, -1]
+
+    # 4. Compute state -> output conversion per chunk
+    # (left term of low-rank factorization of off-diagonal blocks; C terms)
+    state_decay_out = torch.exp(A_cumsum)
+    Y_off = torch.einsum('bclhn,bchpn,bhcl->bclhp', C, states, state_decay_out)
+
+    # Add output of intra-chunk and inter-chunk terms (diagonal and off-diagonal blocks)
+    Y = rearrange(Y_diag+Y_off, "b c l h p -> b (c l) h p")
+    return Y, final_state
+
+
+# Simple test
+def test_correctness():
+    torch.manual_seed(42)
+
+    ## Dimensions
+    # Denoted (B, T, Q, D, P) in the paper
+    batch, seqlen, chunk_size, dim, headdim = 1, 2048, 64, 2048, 64
+    nheads = dim // headdim  # (H) in the paper
+    ngroups = 1 # (G) in the paper
+    dstate = 64  # (N) in the paper
+    dtype = torch.float32
+    device = "cuda"
+
+    x = torch.randn(batch, seqlen, nheads, headdim, dtype=dtype, device=device)
+    dt = F.softplus(torch.randn(batch, seqlen, nheads, dtype=torch.float32, device=device) - 4).requires_grad_()
+    A = (-torch.exp(torch.rand(nheads, dtype=torch.float32, device=device))).requires_grad_()
+    B = torch.randn(batch, seqlen, ngroups, dstate, dtype=dtype, device=device)
+    C = torch.randn(batch, seqlen, ngroups, dstate, dtype=dtype, device=device)
+    D = torch.randn(nheads, dtype=dtype, device=device)
+
+    # Comparing fused version and minimal version
+    y = mamba_chunk_scan_combined(x, dt, A, B, C, chunk_size, D=None)
+    y_min, _ = ssd_minimal_discrete(x*dt.unsqueeze(-1), A*dt, B, C, chunk_size)

mamba/build/lib/mamba_ssm/ops/selective_scan_interface.py

@@ -0,0 +1,357 @@
+# Copyright (c) 2023, Tri Dao, Albert Gu.
+
+import torch
+import torch.nn.functional as F
+from torch.cuda.amp import custom_bwd, custom_fwd
+
+from einops import rearrange, repeat
+
+try:
+    from causal_conv1d import causal_conv1d_fn
+    import causal_conv1d_cuda
+except ImportError:
+    causal_conv1d_fn = None
+    causal_conv1d_cuda = None
+
+import selective_scan_cuda
+
+
+class SelectiveScanFn(torch.autograd.Function):
+
+    @staticmethod
+    def forward(ctx, u, delta, A, B, C, D=None, z=None, delta_bias=None, delta_softplus=False,
+                return_last_state=False):
+        if u.stride(-1) != 1:
+            u = u.contiguous()
+        if delta.stride(-1) != 1:
+            delta = delta.contiguous()
+        if D is not None:
+            D = D.contiguous()
+        if B.stride(-1) != 1:
+            B = B.contiguous()
+        if C.stride(-1) != 1:
+            C = C.contiguous()
+        if z is not None and z.stride(-1) != 1:
+            z = z.contiguous()
+        if B.dim() == 3:
+            B = rearrange(B, "b dstate l -> b 1 dstate l")
+            ctx.squeeze_B = True
+        if C.dim() == 3:
+            C = rearrange(C, "b dstate l -> b 1 dstate l")
+            ctx.squeeze_C = True
+        out, x, *rest = selective_scan_cuda.fwd(u, delta, A, B, C, D, z, delta_bias, delta_softplus)
+        ctx.delta_softplus = delta_softplus
+        ctx.has_z = z is not None
+        last_state = x[:, :, -1, 1::2]  # (batch, dim, dstate)
+        if not ctx.has_z:
+            ctx.save_for_backward(u, delta, A, B, C, D, delta_bias, x)
+            return out if not return_last_state else (out, last_state)
+        else:
+            ctx.save_for_backward(u, delta, A, B, C, D, z, delta_bias, x, out)
+            out_z = rest[0]
+            return out_z if not return_last_state else (out_z, last_state)
+
+    @staticmethod
+    def backward(ctx, dout, *args):
+        if not ctx.has_z:
+            u, delta, A, B, C, D, delta_bias, x = ctx.saved_tensors
+            z = None
+            out = None
+        else:
+            u, delta, A, B, C, D, z, delta_bias, x, out = ctx.saved_tensors
+        if dout.stride(-1) != 1:
+            dout = dout.contiguous()
+        # The kernel supports passing in a pre-allocated dz (e.g., in case we want to fuse the
+        # backward of selective_scan_cuda with the backward of chunk).
+        # Here we just pass in None and dz will be allocated in the C++ code.
+        du, ddelta, dA, dB, dC, dD, ddelta_bias, *rest = selective_scan_cuda.bwd(
+            u, delta, A, B, C, D, z, delta_bias, dout, x, out, None, ctx.delta_softplus,
+            False  # option to recompute out_z, not used here
+        )
+        dz = rest[0] if ctx.has_z else None
+        dB = dB.squeeze(1) if getattr(ctx, "squeeze_B", False) else dB
+        dC = dC.squeeze(1) if getattr(ctx, "squeeze_C", False) else dC
+        return (du, ddelta, dA, dB, dC,
+                dD if D is not None else None,
+                dz,
+                ddelta_bias if delta_bias is not None else None,
+                None,
+                None)
+
+
+def selective_scan_fn(u, delta, A, B, C, D=None, z=None, delta_bias=None, delta_softplus=False,
+                     return_last_state=False):
+    """if return_last_state is True, returns (out, last_state)
+    last_state has shape (batch, dim, dstate). Note that the gradient of the last state is
+    not considered in the backward pass.
+    """
+    return SelectiveScanFn.apply(u, delta, A, B, C, D, z, delta_bias, delta_softplus, return_last_state)
+
+
+def selective_scan_ref(u, delta, A, B, C, D=None, z=None, delta_bias=None, delta_softplus=False,
+                      return_last_state=False):
+    """
+    u: r(B D L)
+    delta: r(B D L)
+    A: c(D N) or r(D N)
+    B: c(D N) or r(B N L) or r(B N 2L) or r(B G N L) or (B G N L)
+    C: c(D N) or r(B N L) or r(B N 2L) or r(B G N L) or (B G N L)
+    D: r(D)
+    z: r(B D L)
+    delta_bias: r(D), fp32
+
+    out: r(B D L)
+    last_state (optional): r(B D dstate) or c(B D dstate)
+    """
+    dtype_in = u.dtype
+    u = u.float()
+    delta = delta.float()
+    if delta_bias is not None:
+        delta = delta + delta_bias[..., None].float()
+    if delta_softplus:
+        delta = F.softplus(delta)
+    batch, dim, dstate = u.shape[0], A.shape[0], A.shape[1]
+    is_variable_B = B.dim() >= 3
+    is_variable_C = C.dim() >= 3
+    if A.is_complex():
+        if is_variable_B:
+            B = torch.view_as_complex(rearrange(B.float(), "... (L two) -> ... L two", two=2))
+        if is_variable_C:
+            C = torch.view_as_complex(rearrange(C.float(), "... (L two) -> ... L two", two=2))
+    else:
+        B = B.float()
+        C = C.float()
+    x = A.new_zeros((batch, dim, dstate))
+    ys = []
+    deltaA = torch.exp(torch.einsum('bdl,dn->bdln', delta, A))
+    if not is_variable_B:
+        deltaB_u = torch.einsum('bdl,dn,bdl->bdln', delta, B, u)
+    else:
+        if B.dim() == 3:
+            deltaB_u = torch.einsum('bdl,bnl,bdl->bdln', delta, B, u)
+        else:
+            B = repeat(B, "B G N L -> B (G H) N L", H=dim // B.shape[1])
+            deltaB_u = torch.einsum('bdl,bdnl,bdl->bdln', delta, B, u)
+    if is_variable_C and C.dim() == 4:
+        C = repeat(C, "B G N L -> B (G H) N L", H=dim // C.shape[1])
+    last_state = None
+    for i in range(u.shape[2]):
+        x = deltaA[:, :, i] * x + deltaB_u[:, :, i]
+        if not is_variable_C:
+            y = torch.einsum('bdn,dn->bd', x, C)
+        else:
+            if C.dim() == 3:
+                y = torch.einsum('bdn,bn->bd', x, C[:, :, i])
+            else:
+                y = torch.einsum('bdn,bdn->bd', x, C[:, :, :, i])
+        if i == u.shape[2] - 1:
+            last_state = x
+        if y.is_complex():
+            y = y.real * 2
+        ys.append(y)
+    y = torch.stack(ys, dim=2) # (batch dim L)
+    out = y if D is None else y + u * rearrange(D, "d -> d 1")
+    if z is not None:
+        out = out * F.silu(z)
+    out = out.to(dtype=dtype_in)
+    return out if not return_last_state else (out, last_state)
+
+
+class MambaInnerFn(torch.autograd.Function):
+
+    @staticmethod
+    @custom_fwd
+    def forward(ctx, xz, conv1d_weight, conv1d_bias, x_proj_weight, delta_proj_weight,
+                out_proj_weight, out_proj_bias,
+                A, B=None, C=None, D=None, delta_bias=None, B_proj_bias=None,
+                C_proj_bias=None, delta_softplus=True, checkpoint_lvl=1):
+        """
+             xz: (batch, dim, seqlen)
+        """
+        assert causal_conv1d_cuda is not None, "causal_conv1d_cuda is not available. Please install causal-conv1d."
+        assert checkpoint_lvl in [0, 1]
+        L = xz.shape[-1]
+        delta_rank = delta_proj_weight.shape[1]
+        d_state = A.shape[-1] * (1 if not A.is_complex() else 2)
+        if torch.is_autocast_enabled():
+            x_proj_weight = x_proj_weight.to(dtype=torch.get_autocast_gpu_dtype())
+            delta_proj_weight = delta_proj_weight.to(dtype=torch.get_autocast_gpu_dtype())
+            out_proj_weight = out_proj_weight.to(dtype=torch.get_autocast_gpu_dtype())
+            out_proj_bias = (out_proj_bias.to(dtype=torch.get_autocast_gpu_dtype())
+                             if out_proj_bias is not None else None)
+        if xz.stride(-1) != 1:
+            xz = xz.contiguous()
+        conv1d_weight = rearrange(conv1d_weight, "d 1 w -> d w")
+        x, z = xz.chunk(2, dim=1)
+        conv1d_bias = conv1d_bias.contiguous() if conv1d_bias is not None else None
+        conv1d_out = causal_conv1d_cuda.causal_conv1d_fwd(
+            x, conv1d_weight, conv1d_bias, None, None, None, True
+        )
+        # We're being very careful here about the layout, to avoid extra transposes.
+        # We want delta to have d as the slowest moving dimension
+        # and L as the fastest moving dimension, since those are what the ssm_scan kernel expects.
+        x_dbl = F.linear(rearrange(conv1d_out, 'b d l -> (b l) d'), x_proj_weight)  # (bl d)
+        delta = rearrange(delta_proj_weight @ x_dbl[:, :delta_rank].t(), "d (b l) -> b d l", l = L)
+        ctx.is_variable_B = B is None
+        ctx.is_variable_C = C is None
+        ctx.B_proj_bias_is_None = B_proj_bias is None
+        ctx.C_proj_bias_is_None = C_proj_bias is None
+        if B is None:  # variable B
+            B = x_dbl[:, delta_rank:delta_rank + d_state]  # (bl dstate)
+            if B_proj_bias is not None:
+                B = B + B_proj_bias.to(dtype=B.dtype)
+            if not A.is_complex():
+                # B = rearrange(B, "(b l) dstate -> b dstate l", l=L).contiguous()
+                B = rearrange(B, "(b l) dstate -> b 1 dstate l", l=L).contiguous()
+            else:
+                B = rearrange(B, "(b l) (dstate two) -> b 1 dstate (l two)", l=L, two=2).contiguous()
+        else:
+            if B.stride(-1) != 1:
+                B = B.contiguous()
+        if C is None:  # variable C
+            C = x_dbl[:, -d_state:]  # (bl dstate)
+            if C_proj_bias is not None:
+                C = C + C_proj_bias.to(dtype=C.dtype)
+            if not A.is_complex():
+                # C = rearrange(C, "(b l) dstate -> b dstate l", l=L).contiguous()
+                C = rearrange(C, "(b l) dstate -> b 1 dstate l", l=L).contiguous()
+            else:
+                C = rearrange(C, "(b l) (dstate two) -> b 1 dstate (l two)", l=L, two=2).contiguous()
+        else:
+            if C.stride(-1) != 1:
+                C = C.contiguous()
+        if D is not None:
+            D = D.contiguous()
+        out, scan_intermediates, out_z = selective_scan_cuda.fwd(
+            conv1d_out, delta, A, B, C, D, z, delta_bias, delta_softplus
+        )
+        ctx.delta_softplus = delta_softplus
+        ctx.out_proj_bias_is_None = out_proj_bias is None
+        ctx.checkpoint_lvl = checkpoint_lvl
+        if checkpoint_lvl >= 1:  # Will recompute conv1d_out and delta in the backward pass
+            conv1d_out, delta = None, None
+        ctx.save_for_backward(xz, conv1d_weight, conv1d_bias, x_dbl, x_proj_weight,
+                              delta_proj_weight, out_proj_weight, conv1d_out, delta,
+                              A, B, C, D, delta_bias, scan_intermediates, out)
+        return F.linear(rearrange(out_z, "b d l -> b l d"), out_proj_weight, out_proj_bias)
+
+    @staticmethod
+    @custom_bwd
+    def backward(ctx, dout):
+        # dout: (batch, seqlen, dim)
+        assert causal_conv1d_cuda is not None, "causal_conv1d_cuda is not available. Please install causal-conv1d."
+        (xz, conv1d_weight, conv1d_bias, x_dbl, x_proj_weight, delta_proj_weight, out_proj_weight,
+         conv1d_out, delta, A, B, C, D, delta_bias, scan_intermediates, out) = ctx.saved_tensors
+        L = xz.shape[-1]
+        delta_rank = delta_proj_weight.shape[1]
+        d_state = A.shape[-1] * (1 if not A.is_complex() else 2)
+        x, z = xz.chunk(2, dim=1)
+        if dout.stride(-1) != 1:
+            dout = dout.contiguous()
+        if ctx.checkpoint_lvl == 1:
+            conv1d_out = causal_conv1d_cuda.causal_conv1d_fwd(
+                x, conv1d_weight, conv1d_bias, None, None, None, True
+            )
+            delta = rearrange(delta_proj_weight @ x_dbl[:, :delta_rank].t(),
+                              "d (b l) -> b d l", l = L)
+        # The kernel supports passing in a pre-allocated dz (e.g., in case we want to fuse the
+        # backward of selective_scan_cuda with the backward of chunk).
+        dxz = torch.empty_like(xz)  # (batch, dim, seqlen)
+        dx, dz = dxz.chunk(2, dim=1)
+        dout = rearrange(dout, "b l e -> e (b l)")
+        dout_y = rearrange(out_proj_weight.t() @ dout, "d (b l) -> b d l", l=L)
+        dconv1d_out, ddelta, dA, dB, dC, dD, ddelta_bias, dz, out_z = selective_scan_cuda.bwd(
+            conv1d_out, delta, A, B, C, D, z, delta_bias, dout_y, scan_intermediates, out, dz,
+            ctx.delta_softplus,
+            True  # option to recompute out_z
+        )
+        dout_proj_weight = torch.einsum("eB,dB->ed", dout, rearrange(out_z, "b d l -> d (b l)"))
+        dout_proj_bias = dout.sum(dim=(0, 1)) if not ctx.out_proj_bias_is_None else None
+        dD = dD if D is not None else None
+        dx_dbl = torch.empty_like(x_dbl)
+        dB_proj_bias = None
+        if ctx.is_variable_B:
+            if not A.is_complex():
+                dB = rearrange(dB, "b 1 dstate l -> (b l) dstate").contiguous()
+            else:
+                dB = rearrange(dB, "b 1 dstate (l two) -> (b l) (dstate two)", two=2).contiguous()
+            dB_proj_bias = dB.sum(0) if not ctx.B_proj_bias_is_None else None
+            dx_dbl[:, delta_rank:delta_rank + d_state] = dB  # (bl d)
+            dB = None
+        dC_proj_bias = None
+        if ctx.is_variable_C:
+            if not A.is_complex():
+                dC = rearrange(dC, "b 1 dstate l -> (b l) dstate").contiguous()
+            else:
+                dC = rearrange(dC, "b 1 dstate (l two) -> (b l) (dstate two)", two=2).contiguous()
+            dC_proj_bias = dC.sum(0) if not ctx.C_proj_bias_is_None else None
+            dx_dbl[:, -d_state:] = dC  # (bl d)
+            dC = None
+        ddelta = rearrange(ddelta, "b d l -> d (b l)")
+        ddelta_proj_weight = torch.einsum("dB,Br->dr", ddelta, x_dbl[:, :delta_rank])
+        dx_dbl[:, :delta_rank] = torch.einsum("dB,dr->Br", ddelta, delta_proj_weight)
+        dconv1d_out = rearrange(dconv1d_out, "b d l -> d (b l)")
+        dx_proj_weight = torch.einsum("Br,Bd->rd", dx_dbl, rearrange(conv1d_out, "b d l -> (b l) d"))
+        dconv1d_out = torch.addmm(dconv1d_out, x_proj_weight.t(), dx_dbl.t(), out=dconv1d_out)
+        dconv1d_out = rearrange(dconv1d_out, "d (b l) -> b d l", b=x.shape[0], l=x.shape[-1])
+        # The kernel supports passing in a pre-allocated dx (e.g., in case we want to fuse the
+        # backward of conv1d with the backward of chunk).
+        dx, dconv1d_weight, dconv1d_bias, *_ = causal_conv1d_cuda.causal_conv1d_bwd(
+            x, conv1d_weight, conv1d_bias, dconv1d_out, None, None, None, dx, False, True
+        )
+        dconv1d_bias = dconv1d_bias if conv1d_bias is not None else None
+        dconv1d_weight = rearrange(dconv1d_weight, "d w -> d 1 w")
+        return (dxz, dconv1d_weight, dconv1d_bias, dx_proj_weight, ddelta_proj_weight,
+                dout_proj_weight, dout_proj_bias,
+                dA, dB, dC, dD,
+                ddelta_bias if delta_bias is not None else None,
+                dB_proj_bias, dC_proj_bias, None)
+
+
+def mamba_inner_fn(
+    xz, conv1d_weight, conv1d_bias, x_proj_weight, delta_proj_weight,
+    out_proj_weight, out_proj_bias,
+    A, B=None, C=None, D=None, delta_bias=None, B_proj_bias=None,
+    C_proj_bias=None, delta_softplus=True
+):
+    return MambaInnerFn.apply(xz, conv1d_weight, conv1d_bias, x_proj_weight, delta_proj_weight,
+                              out_proj_weight, out_proj_bias,
+                              A, B, C, D, delta_bias, B_proj_bias, C_proj_bias, delta_softplus)
+
+
+def mamba_inner_ref(
+    xz, conv1d_weight, conv1d_bias, x_proj_weight, delta_proj_weight,
+    out_proj_weight, out_proj_bias,
+    A, B=None, C=None, D=None, delta_bias=None, B_proj_bias=None,
+    C_proj_bias=None, delta_softplus=True
+):
+    assert causal_conv1d_fn is not None, "causal_conv1d_fn is not available. Please install causal-conv1d."
+    L = xz.shape[-1]
+    delta_rank = delta_proj_weight.shape[1]
+    d_state = A.shape[-1] * (1 if not A.is_complex() else 2)
+    x, z = xz.chunk(2, dim=1)
+    x = causal_conv1d_fn(x, rearrange(conv1d_weight, "d 1 w -> d w"), conv1d_bias, activation="silu")
+    # We're being very careful here about the layout, to avoid extra transposes.
+    # We want delta to have d as the slowest moving dimension
+    # and L as the fastest moving dimension, since those are what the ssm_scan kernel expects.
+    x_dbl = F.linear(rearrange(x, 'b d l -> (b l) d'), x_proj_weight)  # (bl d)
+    delta = delta_proj_weight @ x_dbl[:, :delta_rank].t()
+    delta = rearrange(delta, "d (b l) -> b d l", l=L)
+    if B is None:  # variable B
+        B = x_dbl[:, delta_rank:delta_rank + d_state]  # (bl d)
+        if B_proj_bias is not None:
+            B = B + B_proj_bias.to(dtype=B.dtype)
+        if not A.is_complex():
+            B = rearrange(B, "(b l) dstate -> b dstate l", l=L).contiguous()
+        else:
+            B = rearrange(B, "(b l) (dstate two) -> b dstate (l two)", l=L, two=2).contiguous()
+    if C is None:  # variable B
+        C = x_dbl[:, -d_state:]  # (bl d)
+        if C_proj_bias is not None:
+            C = C + C_proj_bias.to(dtype=C.dtype)
+        if not A.is_complex():
+            C = rearrange(C, "(b l) dstate -> b dstate l", l=L).contiguous()
+        else:
+            C = rearrange(C, "(b l) (dstate two) -> b dstate (l two)", l=L, two=2).contiguous()
+    y = selective_scan_fn(x, delta, A, B, C, D, z=z, delta_bias=delta_bias, delta_softplus=True)
+    return F.linear(rearrange(y, "b d l -> b l d"), out_proj_weight, out_proj_bias)

mamba/build/lib/mamba_ssm/ops/triton/k_activations.py

@@ -0,0 +1,169 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+import torch
+
+import triton
+import triton.language as tl
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_N': 32}),
+        triton.Config({'BLOCK_N': 64}),
+        triton.Config({'BLOCK_N': 128}),
+        triton.Config({'BLOCK_N': 256}),
+        triton.Config({'BLOCK_N': 512}),
+        triton.Config({'BLOCK_N': 1024}),
+    ],
+    key=['ncols'],
+)
+@triton.jit
+def _swiglu_fwd_kernel(
+    X,
+    Y,
+    OUT,
+    stride_x_row,  # how much to increase the pointer when moving by 1 row
+    stride_y_row,
+    stride_out_row,
+    ncols,
+    BLOCK_N: tl.constexpr,
+):
+    # Map the program id to the row of X and Y it should compute.
+    row = tl.program_id(0)
+    start_col = tl.program_id(1) * BLOCK_N
+    X += row * stride_x_row
+    Y += row * stride_y_row
+    OUT += row * stride_out_row
+    cols = start_col + tl.arange(0, BLOCK_N)
+    x = tl.load(X + cols, mask=cols < ncols, other=0.).to(tl.float32)
+    y = tl.load(Y + cols, mask=cols < ncols, other=0.).to(tl.float32)
+    out = x * tl.sigmoid(x) * y
+    tl.store(OUT + cols, out, mask=cols < ncols)
+
+
+def _swiglu_fwd(xy, out=None):
+    if xy.stride(-1) != 1:
+        xy = xy.contiguous()
+    batch_shape = xy.shape[:-1]
+    xy = xy.reshape(-1, xy.shape[-1])
+    x, y = xy.chunk(2, dim=-1)
+    if out is None:
+        out = torch.empty_like(x)
+    else:
+        out = out.reshape(-1, out.shape[-1])
+        assert out.shape == x.shape
+    assert out.stride(-1) == 1
+    M, N = x.shape
+    grid = lambda META: (M, triton.cdiv(N, META['BLOCK_N']))
+    with torch.cuda.device(x.device.index):
+        _swiglu_fwd_kernel[grid](x, y, out, x.stride(0), y.stride(0), out.stride(0), N)
+    return out.reshape(*batch_shape, out.shape[-1])
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_N': 32}),
+        triton.Config({'BLOCK_N': 64}),
+        triton.Config({'BLOCK_N': 128}),
+        triton.Config({'BLOCK_N': 256}),
+        triton.Config({'BLOCK_N': 512}),
+        triton.Config({'BLOCK_N': 1024}),
+    ],
+    key=['ncols'],
+)
+@triton.heuristics({"RECOMPUTE_OUTPUT": lambda args: args["OUT"] is not None})
+@triton.jit
+def _swiglu_bwd_kernel(
+    X,
+    Y,
+    DOUT,
+    OUT,
+    DX,
+    DY,
+    stride_x_row,  # how much to increase the pointer when moving by 1 row
+    stride_y_row,
+    stride_dout_row,
+    stride_out_row,
+    stride_dx_row,
+    stride_dy_row,
+    ncols,
+    BLOCK_N: tl.constexpr,
+    RECOMPUTE_OUTPUT: tl.constexpr,
+):
+    # Map the program id to the row of X and Y it should compute.
+    row = tl.program_id(0)
+    start_col = tl.program_id(1) * BLOCK_N
+    X += row * stride_x_row
+    Y += row * stride_y_row
+    DOUT += row * stride_dout_row
+    if RECOMPUTE_OUTPUT:
+        OUT += row * stride_out_row
+    DX += row * stride_dx_row
+    DY += row * stride_dy_row
+    cols = start_col + tl.arange(0, BLOCK_N)
+    x = tl.load(X + cols, mask=cols < ncols, other=0.).to(tl.float32)
+    y = tl.load(Y + cols, mask=cols < ncols, other=0.).to(tl.float32)
+    dout = tl.load(DOUT + cols, mask=cols < ncols, other=0.).to(tl.float32)
+    x_sigmoid = tl.sigmoid(x)
+    dx = x_sigmoid * (1 + x * (1 - x_sigmoid)) * y * dout
+    dy = x * x_sigmoid * dout
+    tl.store(DX + cols, dx, mask=cols < ncols)
+    tl.store(DY + cols, dy, mask=cols < ncols)
+    if RECOMPUTE_OUTPUT:
+        out = x * x_sigmoid * y
+        tl.store(OUT + cols, out, mask=cols < ncols)
+
+
+def _swiglu_bwd(xy, dout, dxy=None, recompute_output=False, out=None):
+    if xy.stride(-1) != 1:
+        xy = xy.contiguous()
+    if dout.stride(-1) != 1:
+        dout = dout.contiguous()
+    batch_shape = xy.shape[:-1]
+    xy = xy.reshape(-1, xy.shape[-1])
+    x, y = xy.chunk(2, dim=-1)
+    dout = dout.reshape(-1, dout.shape[-1])
+    assert dout.shape == x.shape
+    if dxy is None:
+        dxy = torch.empty_like(xy)
+    else:
+        dxy = dxy.reshape(-1, dxy.shape[-1])
+        assert dxy.shape == xy.shape
+    dx, dy = dxy.chunk(2, dim=-1)
+    assert dx.stride(-1) == 1
+    assert dy.stride(-1) == 1
+    if recompute_output:
+        if out is None:
+            out = torch.empty_like(x)
+        else:
+            out = out.reshape(-1, out.shape[-1])
+            assert out.shape == x.shape
+        assert out.stride(-1) == 1
+    M, N = x.shape
+    grid = lambda META: (M, triton.cdiv(N, META['BLOCK_N']))
+    with torch.cuda.device(x.device.index):
+        _swiglu_bwd_kernel[grid](x, y, dout, out if recompute_output else None, dx, dy,
+                                 x.stride(0), y.stride(0), dout.stride(0),
+                                 out.stride(0) if recompute_output else 0,
+                                 dx.stride(0), dy.stride(0),
+                                 N)
+    if not recompute_output:
+        return dxy.reshape(*batch_shape, dxy.shape[-1])
+    else:
+        return dxy.reshape(*batch_shape, dxy.shape[-1]), out.reshape(*batch_shape, out.shape[-1])
+
+
+class SwiGLU(torch.autograd.Function):
+
+    @staticmethod
+    def forward(ctx, xy):
+        ctx.save_for_backward(xy)
+        return _swiglu_fwd(xy)
+
+    @staticmethod
+    def backward(ctx, dout):
+        xy, = ctx.saved_tensors
+        return _swiglu_bwd(xy, dout)
+
+
+swiglu = SwiGLU.apply

mamba/build/lib/mamba_ssm/ops/triton/layer_norm.py

@@ -0,0 +1,1113 @@
+# Copyright (c) 2024, Tri Dao.
+# Implement dropout + residual + layer_norm / rms_norm.
+
+# Based on the Triton LayerNorm tutorial: https://triton-lang.org/main/getting-started/tutorials/05-layer-norm.html
+# For the backward pass, we keep weight_grad and bias_grad in registers and accumulate.
+# This is faster for dimensions up to 8k, but after that it's much slower due to register spilling.
+# The models we train have hidden dim up to 8k anyway (e.g. Llama 70B), so this is fine.
+
+import math
+import warnings
+
+import torch
+import torch.nn.functional as F
+from torch.cuda.amp import custom_fwd, custom_bwd
+
+import triton
+import triton.language as tl
+
+
+def layer_norm_ref(
+    x,
+    weight,
+    bias,
+    residual=None,
+    x1=None,
+    weight1=None,
+    bias1=None,
+    eps=1e-6,
+    dropout_p=0.0,
+    rowscale=None,
+    prenorm=False,
+    dropout_mask=None,
+    dropout_mask1=None,
+    upcast=False,
+):
+    dtype = x.dtype
+    if upcast:
+        x = x.float()
+        weight = weight.float()
+        bias = bias.float() if bias is not None else None
+        residual = residual.float() if residual is not None else residual
+        x1 = x1.float() if x1 is not None else None
+        weight1 = weight1.float() if weight1 is not None else None
+        bias1 = bias1.float() if bias1 is not None else None
+    if x1 is not None:
+        assert rowscale is None, "rowscale is not supported with parallel LayerNorm"
+    if rowscale is not None:
+        x = x * rowscale[..., None]
+    if dropout_p > 0.0:
+        if dropout_mask is not None:
+            x = x.masked_fill(~dropout_mask, 0.0) / (1.0 - dropout_p)
+        else:
+            x = F.dropout(x, p=dropout_p)
+        if x1 is not None:
+            if dropout_mask1 is not None:
+                x1 = x1.masked_fill(~dropout_mask1, 0.0) / (1.0 - dropout_p)
+            else:
+                x1 = F.dropout(x1, p=dropout_p)
+    if x1 is not None:
+        x = x + x1
+    if residual is not None:
+        x = (x + residual).to(x.dtype)
+    out = F.layer_norm(x.to(weight.dtype), x.shape[-1:], weight=weight, bias=bias, eps=eps).to(
+        dtype
+    )
+    if weight1 is None:
+        return out if not prenorm else (out, x)
+    else:
+        out1 = F.layer_norm(
+            x.to(weight1.dtype), x.shape[-1:], weight=weight1, bias=bias1, eps=eps
+        ).to(dtype)
+        return (out, out1) if not prenorm else (out, out1, x)
+
+
+def rms_norm_ref(
+    x,
+    weight,
+    bias,
+    residual=None,
+    x1=None,
+    weight1=None,
+    bias1=None,
+    eps=1e-6,
+    dropout_p=0.0,
+    rowscale=None,
+    prenorm=False,
+    dropout_mask=None,
+    dropout_mask1=None,
+    upcast=False,
+):
+    dtype = x.dtype
+    if upcast:
+        x = x.float()
+        weight = weight.float()
+        bias = bias.float() if bias is not None else None
+        residual = residual.float() if residual is not None else residual
+        x1 = x1.float() if x1 is not None else None
+        weight1 = weight1.float() if weight1 is not None else None
+        bias1 = bias1.float() if bias1 is not None else None
+    if x1 is not None:
+        assert rowscale is None, "rowscale is not supported with parallel LayerNorm"
+    if rowscale is not None:
+        x = x * rowscale[..., None]
+    if dropout_p > 0.0:
+        if dropout_mask is not None:
+            x = x.masked_fill(~dropout_mask, 0.0) / (1.0 - dropout_p)
+        else:
+            x = F.dropout(x, p=dropout_p)
+        if x1 is not None:
+            if dropout_mask1 is not None:
+                x1 = x1.masked_fill(~dropout_mask1, 0.0) / (1.0 - dropout_p)
+            else:
+                x1 = F.dropout(x1, p=dropout_p)
+    if x1 is not None:
+        x = x + x1
+    if residual is not None:
+        x = (x + residual).to(x.dtype)
+    rstd = 1 / torch.sqrt((x.square()).mean(dim=-1, keepdim=True) + eps)
+    out = ((x * rstd * weight) + bias if bias is not None else (x * rstd * weight)).to(dtype)
+    if weight1 is None:
+        return out if not prenorm else (out, x)
+    else:
+        out1 = ((x * rstd * weight1) + bias1 if bias1 is not None else (x * rstd * weight1)).to(
+            dtype
+        )
+        return (out, out1) if not prenorm else (out, out1, x)
+
+def config_prune(configs):
+
+    if torch.version.hip:
+        try:
+            # set warp size based on gcn architecure 
+            gcn_arch_name = torch.cuda.get_device_properties(0).gcnArchName
+            if "gfx10" in gcn_arch_name or "gfx11" in gcn_arch_name:
+                # radeon
+                warp_size = 32
+            else:
+                # instinct
+                warp_size = 64
+        except AttributeError as e:
+            # fall back to crude method to set warp size
+            device_name = torch.cuda.get_device_properties(0).name
+            if 'instinct' in device_name.lower():
+                warp_size = 64
+            else:
+                warp_size = 32
+            warnings.warn(f"{e}, warp size set to {warp_size} based on device name: {device_name}", UserWarning)
+
+    else:
+        # cuda 
+        warp_size = 32    
+
+    max_block_sz = 1024
+    max_num_warps = max_block_sz // warp_size
+    pruned_configs = [config for config in configs if config.num_warps <= max_num_warps]
+    return pruned_configs
+
+configs_autotune = [
+        triton.Config({}, num_warps=1),
+        triton.Config({}, num_warps=2),
+        triton.Config({}, num_warps=4),
+        triton.Config({}, num_warps=8),
+        triton.Config({}, num_warps=16),
+        triton.Config({}, num_warps=32),
+        ]
+
+pruned_configs_autotune = config_prune(configs_autotune)
+
+@triton.autotune(
+    configs = pruned_configs_autotune,
+    key=["N", "HAS_RESIDUAL", "STORE_RESIDUAL_OUT", "IS_RMS_NORM", "HAS_BIAS"],
+)
+# @triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None})
+# @triton.heuristics({"HAS_RESIDUAL": lambda args: args["RESIDUAL"] is not None})
+@triton.heuristics({"HAS_X1": lambda args: args["X1"] is not None})
+@triton.heuristics({"HAS_W1": lambda args: args["W1"] is not None})
+@triton.heuristics({"HAS_B1": lambda args: args["B1"] is not None})
+@triton.jit
+def _layer_norm_fwd_1pass_kernel(
+    X,  # pointer to the input
+    Y,  # pointer to the output
+    W,  # pointer to the weights
+    B,  # pointer to the biases
+    RESIDUAL,  # pointer to the residual
+    X1,
+    W1,
+    B1,
+    Y1,
+    RESIDUAL_OUT,  # pointer to the residual
+    ROWSCALE,
+    SEEDS,  # Dropout seeds for each row
+    DROPOUT_MASK,
+    Mean,  # pointer to the mean
+    Rstd,  # pointer to the 1/std
+    stride_x_row,  # how much to increase the pointer when moving by 1 row
+    stride_y_row,
+    stride_res_row,
+    stride_res_out_row,
+    stride_x1_row,
+    stride_y1_row,
+    M,  # number of rows in X
+    N,  # number of columns in X
+    eps,  # epsilon to avoid division by zero
+    dropout_p,  # Dropout probability
+    IS_RMS_NORM: tl.constexpr,
+    BLOCK_N: tl.constexpr,
+    HAS_RESIDUAL: tl.constexpr,
+    STORE_RESIDUAL_OUT: tl.constexpr,
+    HAS_BIAS: tl.constexpr,
+    HAS_DROPOUT: tl.constexpr,
+    STORE_DROPOUT_MASK: tl.constexpr,
+    HAS_ROWSCALE: tl.constexpr,
+    HAS_X1: tl.constexpr,
+    HAS_W1: tl.constexpr,
+    HAS_B1: tl.constexpr,
+):
+    # Map the program id to the row of X and Y it should compute.
+    row = tl.program_id(0)
+    X += row * stride_x_row
+    Y += row * stride_y_row
+    if HAS_RESIDUAL:
+        RESIDUAL += row * stride_res_row
+    if STORE_RESIDUAL_OUT:
+        RESIDUAL_OUT += row * stride_res_out_row
+    if HAS_X1:
+        X1 += row * stride_x1_row
+    if HAS_W1:
+        Y1 += row * stride_y1_row
+    # Compute mean and variance
+    cols = tl.arange(0, BLOCK_N)
+    x = tl.load(X + cols, mask=cols < N, other=0.0).to(tl.float32)
+    if HAS_ROWSCALE:
+        rowscale = tl.load(ROWSCALE + row).to(tl.float32)
+        x *= rowscale
+    if HAS_DROPOUT:
+        # Compute dropout mask
+        # 7 rounds is good enough, and reduces register pressure
+        keep_mask = tl.rand(tl.load(SEEDS + row).to(tl.uint32), cols, n_rounds=7) > dropout_p
+        x = tl.where(keep_mask, x / (1.0 - dropout_p), 0.0)
+        if STORE_DROPOUT_MASK:
+            tl.store(DROPOUT_MASK + row * N + cols, keep_mask, mask=cols < N)
+    if HAS_X1:
+        x1 = tl.load(X1 + cols, mask=cols < N, other=0.0).to(tl.float32)
+        if HAS_ROWSCALE:
+            rowscale = tl.load(ROWSCALE + M + row).to(tl.float32)
+            x1 *= rowscale
+        if HAS_DROPOUT:
+            # Compute dropout mask
+            # 7 rounds is good enough, and reduces register pressure
+            keep_mask = (
+                tl.rand(tl.load(SEEDS + M + row).to(tl.uint32), cols, n_rounds=7) > dropout_p
+            )
+            x1 = tl.where(keep_mask, x1 / (1.0 - dropout_p), 0.0)
+            if STORE_DROPOUT_MASK:
+                tl.store(DROPOUT_MASK + (M + row) * N + cols, keep_mask, mask=cols < N)
+        x += x1
+    if HAS_RESIDUAL:
+        residual = tl.load(RESIDUAL + cols, mask=cols < N, other=0.0).to(tl.float32)
+        x += residual
+    if STORE_RESIDUAL_OUT:
+        tl.store(RESIDUAL_OUT + cols, x, mask=cols < N)
+    if not IS_RMS_NORM:
+        mean = tl.sum(x, axis=0) / N
+        tl.store(Mean + row, mean)
+        xbar = tl.where(cols < N, x - mean, 0.0)
+        var = tl.sum(xbar * xbar, axis=0) / N
+    else:
+        xbar = tl.where(cols < N, x, 0.0)
+        var = tl.sum(xbar * xbar, axis=0) / N
+    rstd = 1 / tl.sqrt(var + eps)
+    tl.store(Rstd + row, rstd)
+    # Normalize and apply linear transformation
+    mask = cols < N
+    w = tl.load(W + cols, mask=mask).to(tl.float32)
+    if HAS_BIAS:
+        b = tl.load(B + cols, mask=mask).to(tl.float32)
+    x_hat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd
+    y = x_hat * w + b if HAS_BIAS else x_hat * w
+    # Write output
+    tl.store(Y + cols, y, mask=mask)
+    if HAS_W1:
+        w1 = tl.load(W1 + cols, mask=mask).to(tl.float32)
+        if HAS_B1:
+            b1 = tl.load(B1 + cols, mask=mask).to(tl.float32)
+        y1 = x_hat * w1 + b1 if HAS_B1 else x_hat * w1
+        tl.store(Y1 + cols, y1, mask=mask)
+
+
+def _layer_norm_fwd(
+    x,
+    weight,
+    bias,
+    eps,
+    residual=None,
+    x1=None,
+    weight1=None,
+    bias1=None,
+    dropout_p=0.0,
+    rowscale=None,
+    out_dtype=None,
+    residual_dtype=None,
+    is_rms_norm=False,
+    return_dropout_mask=False,
+):
+    if residual is not None:
+        residual_dtype = residual.dtype
+    M, N = x.shape
+    assert x.stride(-1) == 1
+    if residual is not None:
+        assert residual.stride(-1) == 1
+        assert residual.shape == (M, N)
+    assert weight.shape == (N,)
+    assert weight.stride(-1) == 1
+    if bias is not None:
+        assert bias.stride(-1) == 1
+        assert bias.shape == (N,)
+    if x1 is not None:
+        assert x1.shape == x.shape
+        assert rowscale is None
+        assert x1.stride(-1) == 1
+    if weight1 is not None:
+        assert weight1.shape == (N,)
+        assert weight1.stride(-1) == 1
+    if bias1 is not None:
+        assert bias1.shape == (N,)
+        assert bias1.stride(-1) == 1
+    if rowscale is not None:
+        assert rowscale.is_contiguous()
+        assert rowscale.shape == (M,)
+    # allocate output
+    y = torch.empty_like(x, dtype=x.dtype if out_dtype is None else out_dtype)
+    assert y.stride(-1) == 1
+    if weight1 is not None:
+        y1 = torch.empty_like(y)
+        assert y1.stride(-1) == 1
+    else:
+        y1 = None
+    if (
+        residual is not None
+        or (residual_dtype is not None and residual_dtype != x.dtype)
+        or dropout_p > 0.0
+        or rowscale is not None
+        or x1 is not None
+    ):
+        residual_out = torch.empty(
+            M, N, device=x.device, dtype=residual_dtype if residual_dtype is not None else x.dtype
+        )
+        assert residual_out.stride(-1) == 1
+    else:
+        residual_out = None
+    mean = torch.empty((M,), dtype=torch.float32, device=x.device) if not is_rms_norm else None
+    rstd = torch.empty((M,), dtype=torch.float32, device=x.device)
+    if dropout_p > 0.0:
+        seeds = torch.randint(
+            2**32, (M if x1 is None else 2 * M,), device=x.device, dtype=torch.int64
+        )
+    else:
+        seeds = None
+    if return_dropout_mask and dropout_p > 0.0:
+        dropout_mask = torch.empty(M if x1 is None else 2 * M, N, device=x.device, dtype=torch.bool)
+    else:
+        dropout_mask = None
+    # Less than 64KB per feature: enqueue fused kernel
+    MAX_FUSED_SIZE = 65536 // x.element_size()
+    BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(N))
+    if N > BLOCK_N:
+        raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.")
+    with torch.cuda.device(x.device.index):
+        _layer_norm_fwd_1pass_kernel[(M,)](
+            x,
+            y,
+            weight,
+            bias,
+            residual,
+            x1,
+            weight1,
+            bias1,
+            y1,
+            residual_out,
+            rowscale,
+            seeds,
+            dropout_mask,
+            mean,
+            rstd,
+            x.stride(0),
+            y.stride(0),
+            residual.stride(0) if residual is not None else 0,
+            residual_out.stride(0) if residual_out is not None else 0,
+            x1.stride(0) if x1 is not None else 0,
+            y1.stride(0) if y1 is not None else 0,
+            M,
+            N,
+            eps,
+            dropout_p,
+            is_rms_norm,
+            BLOCK_N,
+            residual is not None,
+            residual_out is not None,
+            bias is not None,
+            dropout_p > 0.0,
+            dropout_mask is not None,
+            rowscale is not None,
+        )
+    # residual_out is None if residual is None and residual_dtype == input_dtype and dropout_p == 0.0
+    if dropout_mask is not None and x1 is not None:
+        dropout_mask, dropout_mask1 = dropout_mask.tensor_split(2, dim=0)
+    else:
+        dropout_mask1 = None
+    return (
+        y,
+        y1,
+        mean,
+        rstd,
+        residual_out if residual_out is not None else x,
+        seeds,
+        dropout_mask,
+        dropout_mask1,
+    )
+
+
+@triton.autotune(
+    configs=pruned_configs_autotune,
+    key=["N", "HAS_DRESIDUAL", "STORE_DRESIDUAL", "IS_RMS_NORM", "HAS_BIAS", "HAS_DROPOUT"],
+)
+# @triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None})
+# @triton.heuristics({"HAS_DRESIDUAL": lambda args: args["DRESIDUAL"] is not None})
+# @triton.heuristics({"STORE_DRESIDUAL": lambda args: args["DRESIDUAL_IN"] is not None})
+@triton.heuristics({"HAS_ROWSCALE": lambda args: args["ROWSCALE"] is not None})
+@triton.heuristics({"HAS_DY1": lambda args: args["DY1"] is not None})
+@triton.heuristics({"HAS_DX1": lambda args: args["DX1"] is not None})
+@triton.heuristics({"HAS_B1": lambda args: args["DB1"] is not None})
+@triton.heuristics({"RECOMPUTE_OUTPUT": lambda args: args["Y"] is not None})
+@triton.jit
+def _layer_norm_bwd_kernel(
+    X,  # pointer to the input
+    W,  # pointer to the weights
+    B,  # pointer to the biases
+    Y,  # pointer to the output to be recomputed
+    DY,  # pointer to the output gradient
+    DX,  # pointer to the input gradient
+    DW,  # pointer to the partial sum of weights gradient
+    DB,  # pointer to the partial sum of biases gradient
+    DRESIDUAL,
+    W1,
+    DY1,
+    DX1,
+    DW1,
+    DB1,
+    DRESIDUAL_IN,
+    ROWSCALE,
+    SEEDS,
+    Mean,  # pointer to the mean
+    Rstd,  # pointer to the 1/std
+    stride_x_row,  # how much to increase the pointer when moving by 1 row
+    stride_y_row,
+    stride_dy_row,
+    stride_dx_row,
+    stride_dres_row,
+    stride_dy1_row,
+    stride_dx1_row,
+    stride_dres_in_row,
+    M,  # number of rows in X
+    N,  # number of columns in X
+    eps,  # epsilon to avoid division by zero
+    dropout_p,
+    rows_per_program,
+    IS_RMS_NORM: tl.constexpr,
+    BLOCK_N: tl.constexpr,
+    HAS_DRESIDUAL: tl.constexpr,
+    STORE_DRESIDUAL: tl.constexpr,
+    HAS_BIAS: tl.constexpr,
+    HAS_DROPOUT: tl.constexpr,
+    HAS_ROWSCALE: tl.constexpr,
+    HAS_DY1: tl.constexpr,
+    HAS_DX1: tl.constexpr,
+    HAS_B1: tl.constexpr,
+    RECOMPUTE_OUTPUT: tl.constexpr,
+):
+    # Map the program id to the elements of X, DX, and DY it should compute.
+    row_block_id = tl.program_id(0)
+    row_start = row_block_id * rows_per_program
+    # Do not early exit if row_start >= M, because we need to write DW and DB
+    cols = tl.arange(0, BLOCK_N)
+    mask = cols < N
+    X += row_start * stride_x_row
+    if HAS_DRESIDUAL:
+        DRESIDUAL += row_start * stride_dres_row
+    if STORE_DRESIDUAL:
+        DRESIDUAL_IN += row_start * stride_dres_in_row
+    DY += row_start * stride_dy_row
+    DX += row_start * stride_dx_row
+    if HAS_DY1:
+        DY1 += row_start * stride_dy1_row
+    if HAS_DX1:
+        DX1 += row_start * stride_dx1_row
+    if RECOMPUTE_OUTPUT:
+        Y += row_start * stride_y_row
+    w = tl.load(W + cols, mask=mask).to(tl.float32)
+    if RECOMPUTE_OUTPUT and HAS_BIAS:
+        b = tl.load(B + cols, mask=mask, other=0.0).to(tl.float32)
+    if HAS_DY1:
+        w1 = tl.load(W1 + cols, mask=mask).to(tl.float32)
+    dw = tl.zeros((BLOCK_N,), dtype=tl.float32)
+    if HAS_BIAS:
+        db = tl.zeros((BLOCK_N,), dtype=tl.float32)
+    if HAS_DY1:
+        dw1 = tl.zeros((BLOCK_N,), dtype=tl.float32)
+        if HAS_B1:
+            db1 = tl.zeros((BLOCK_N,), dtype=tl.float32)
+    row_end = min((row_block_id + 1) * rows_per_program, M)
+    for row in range(row_start, row_end):
+        # Load data to SRAM
+        x = tl.load(X + cols, mask=mask, other=0).to(tl.float32)
+        dy = tl.load(DY + cols, mask=mask, other=0).to(tl.float32)
+        if HAS_DY1:
+            dy1 = tl.load(DY1 + cols, mask=mask, other=0).to(tl.float32)
+        if not IS_RMS_NORM:
+            mean = tl.load(Mean + row)
+        rstd = tl.load(Rstd + row)
+        # Compute dx
+        xhat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd
+        xhat = tl.where(mask, xhat, 0.0)
+        if RECOMPUTE_OUTPUT:
+            y = xhat * w + b if HAS_BIAS else xhat * w
+            tl.store(Y + cols, y, mask=mask)
+        wdy = w * dy
+        dw += dy * xhat
+        if HAS_BIAS:
+            db += dy
+        if HAS_DY1:
+            wdy += w1 * dy1
+            dw1 += dy1 * xhat
+            if HAS_B1:
+                db1 += dy1
+        if not IS_RMS_NORM:
+            c1 = tl.sum(xhat * wdy, axis=0) / N
+            c2 = tl.sum(wdy, axis=0) / N
+            dx = (wdy - (xhat * c1 + c2)) * rstd
+        else:
+            c1 = tl.sum(xhat * wdy, axis=0) / N
+            dx = (wdy - xhat * c1) * rstd
+        if HAS_DRESIDUAL:
+            dres = tl.load(DRESIDUAL + cols, mask=mask, other=0).to(tl.float32)
+            dx += dres
+        # Write dx
+        if STORE_DRESIDUAL:
+            tl.store(DRESIDUAL_IN + cols, dx, mask=mask)
+        if HAS_DX1:
+            if HAS_DROPOUT:
+                keep_mask = (
+                    tl.rand(tl.load(SEEDS + M + row).to(tl.uint32), cols, n_rounds=7) > dropout_p
+                )
+                dx1 = tl.where(keep_mask, dx / (1.0 - dropout_p), 0.0)
+            else:
+                dx1 = dx
+            tl.store(DX1 + cols, dx1, mask=mask)
+        if HAS_DROPOUT:
+            keep_mask = tl.rand(tl.load(SEEDS + row).to(tl.uint32), cols, n_rounds=7) > dropout_p
+            dx = tl.where(keep_mask, dx / (1.0 - dropout_p), 0.0)
+        if HAS_ROWSCALE:
+            rowscale = tl.load(ROWSCALE + row).to(tl.float32)
+            dx *= rowscale
+        tl.store(DX + cols, dx, mask=mask)
+
+        X += stride_x_row
+        if HAS_DRESIDUAL:
+            DRESIDUAL += stride_dres_row
+        if STORE_DRESIDUAL:
+            DRESIDUAL_IN += stride_dres_in_row
+        if RECOMPUTE_OUTPUT:
+            Y += stride_y_row
+        DY += stride_dy_row
+        DX += stride_dx_row
+        if HAS_DY1:
+            DY1 += stride_dy1_row
+        if HAS_DX1:
+            DX1 += stride_dx1_row
+    tl.store(DW + row_block_id * N + cols, dw, mask=mask)
+    if HAS_BIAS:
+        tl.store(DB + row_block_id * N + cols, db, mask=mask)
+    if HAS_DY1:
+        tl.store(DW1 + row_block_id * N + cols, dw1, mask=mask)
+        if HAS_B1:
+            tl.store(DB1 + row_block_id * N + cols, db1, mask=mask)
+
+
+def _layer_norm_bwd(
+    dy,
+    x,
+    weight,
+    bias,
+    eps,
+    mean,
+    rstd,
+    dresidual=None,
+    dy1=None,
+    weight1=None,
+    bias1=None,
+    seeds=None,
+    dropout_p=0.0,
+    rowscale=None,
+    has_residual=False,
+    has_x1=False,
+    is_rms_norm=False,
+    x_dtype=None,
+    recompute_output=False,
+):
+    M, N = x.shape
+    assert x.stride(-1) == 1
+    assert dy.stride(-1) == 1
+    assert dy.shape == (M, N)
+    if dresidual is not None:
+        assert dresidual.stride(-1) == 1
+        assert dresidual.shape == (M, N)
+    assert weight.shape == (N,)
+    assert weight.stride(-1) == 1
+    if bias is not None:
+        assert bias.stride(-1) == 1
+        assert bias.shape == (N,)
+    if dy1 is not None:
+        assert weight1 is not None
+        assert dy1.shape == dy.shape
+        assert dy1.stride(-1) == 1
+    if weight1 is not None:
+        assert weight1.shape == (N,)
+        assert weight1.stride(-1) == 1
+    if bias1 is not None:
+        assert bias1.shape == (N,)
+        assert bias1.stride(-1) == 1
+    if seeds is not None:
+        assert seeds.is_contiguous()
+        assert seeds.shape == (M if not has_x1 else M * 2,)
+    if rowscale is not None:
+        assert rowscale.is_contiguous()
+        assert rowscale.shape == (M,)
+    # allocate output
+    dx = (
+        torch.empty_like(x)
+        if x_dtype is None
+        else torch.empty(M, N, dtype=x_dtype, device=x.device)
+    )
+    dresidual_in = (
+        torch.empty_like(x)
+        if has_residual
+        and (dx.dtype != x.dtype or dropout_p > 0.0 or rowscale is not None or has_x1)
+        else None
+    )
+    dx1 = torch.empty_like(dx) if (has_x1 and dropout_p > 0.0) else None
+    y = torch.empty(M, N, dtype=dy.dtype, device=dy.device) if recompute_output else None
+    if recompute_output:
+        assert weight1 is None, "recompute_output is not supported with parallel LayerNorm"
+
+    # Less than 64KB per feature: enqueue fused kernel
+    MAX_FUSED_SIZE = 65536 // x.element_size()
+    BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(N))
+    if N > BLOCK_N:
+        raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.")
+    sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count
+    _dw = torch.empty((sm_count, N), dtype=torch.float32, device=weight.device)
+    _db = (
+        torch.empty((sm_count, N), dtype=torch.float32, device=bias.device)
+        if bias is not None
+        else None
+    )
+    _dw1 = torch.empty_like(_dw) if weight1 is not None else None
+    _db1 = torch.empty_like(_db) if bias1 is not None else None
+    rows_per_program = math.ceil(M / sm_count)
+    grid = (sm_count,)
+    with torch.cuda.device(x.device.index):
+        _layer_norm_bwd_kernel[grid](
+            x,
+            weight,
+            bias,
+            y,
+            dy,
+            dx,
+            _dw,
+            _db,
+            dresidual,
+            weight1,
+            dy1,
+            dx1,
+            _dw1,
+            _db1,
+            dresidual_in,
+            rowscale,
+            seeds,
+            mean,
+            rstd,
+            x.stride(0),
+            0 if not recompute_output else y.stride(0),
+            dy.stride(0),
+            dx.stride(0),
+            dresidual.stride(0) if dresidual is not None else 0,
+            dy1.stride(0) if dy1 is not None else 0,
+            dx1.stride(0) if dx1 is not None else 0,
+            dresidual_in.stride(0) if dresidual_in is not None else 0,
+            M,
+            N,
+            eps,
+            dropout_p,
+            rows_per_program,
+            is_rms_norm,
+            BLOCK_N,
+            dresidual is not None,
+            dresidual_in is not None,
+            bias is not None,
+            dropout_p > 0.0,
+        )
+    dw = _dw.sum(0).to(weight.dtype)
+    db = _db.sum(0).to(bias.dtype) if bias is not None else None
+    dw1 = _dw1.sum(0).to(weight1.dtype) if weight1 is not None else None
+    db1 = _db1.sum(0).to(bias1.dtype) if bias1 is not None else None
+    # Don't need to compute dresidual_in separately in this case
+    if has_residual and dx.dtype == x.dtype and dropout_p == 0.0 and rowscale is None:
+        dresidual_in = dx
+    if has_x1 and dropout_p == 0.0:
+        dx1 = dx
+    return (
+        (dx, dw, db, dresidual_in, dx1, dw1, db1)
+        if not recompute_output
+        else (dx, dw, db, dresidual_in, dx1, dw1, db1, y)
+    )
+
+
+class LayerNormFn(torch.autograd.Function):
+    @staticmethod
+    def forward(
+        ctx,
+        x,
+        weight,
+        bias,
+        residual=None,
+        x1=None,
+        weight1=None,
+        bias1=None,
+        eps=1e-6,
+        dropout_p=0.0,
+        rowscale=None,
+        prenorm=False,
+        residual_in_fp32=False,
+        is_rms_norm=False,
+        return_dropout_mask=False,
+    ):
+        x_shape_og = x.shape
+        # reshape input data into 2D tensor
+        x = x.reshape(-1, x.shape[-1])
+        if x.stride(-1) != 1:
+            x = x.contiguous()
+        if residual is not None:
+            assert residual.shape == x_shape_og
+            residual = residual.reshape(-1, residual.shape[-1])
+            if residual.stride(-1) != 1:
+                residual = residual.contiguous()
+        if x1 is not None:
+            assert x1.shape == x_shape_og
+            assert rowscale is None, "rowscale is not supported with parallel LayerNorm"
+            x1 = x1.reshape(-1, x1.shape[-1])
+            if x1.stride(-1) != 1:
+                x1 = x1.contiguous()
+        weight = weight.contiguous()
+        if bias is not None:
+            bias = bias.contiguous()
+        if weight1 is not None:
+            weight1 = weight1.contiguous()
+        if bias1 is not None:
+            bias1 = bias1.contiguous()
+        if rowscale is not None:
+            rowscale = rowscale.reshape(-1).contiguous()
+        residual_dtype = (
+            residual.dtype
+            if residual is not None
+            else (torch.float32 if residual_in_fp32 else None)
+        )
+        y, y1, mean, rstd, residual_out, seeds, dropout_mask, dropout_mask1 = _layer_norm_fwd(
+            x,
+            weight,
+            bias,
+            eps,
+            residual,
+            x1,
+            weight1,
+            bias1,
+            dropout_p=dropout_p,
+            rowscale=rowscale,
+            residual_dtype=residual_dtype,
+            is_rms_norm=is_rms_norm,
+            return_dropout_mask=return_dropout_mask,
+        )
+        ctx.save_for_backward(
+            residual_out, weight, bias, weight1, bias1, rowscale, seeds, mean, rstd
+        )
+        ctx.x_shape_og = x_shape_og
+        ctx.eps = eps
+        ctx.dropout_p = dropout_p
+        ctx.is_rms_norm = is_rms_norm
+        ctx.has_residual = residual is not None
+        ctx.has_x1 = x1 is not None
+        ctx.prenorm = prenorm
+        ctx.x_dtype = x.dtype
+        y = y.reshape(x_shape_og)
+        y1 = y1.reshape(x_shape_og) if y1 is not None else None
+        residual_out = residual_out.reshape(x_shape_og) if residual_out is not None else None
+        dropout_mask = dropout_mask.reshape(x_shape_og) if dropout_mask is not None else None
+        dropout_mask1 = dropout_mask1.reshape(x_shape_og) if dropout_mask1 is not None else None
+        if not return_dropout_mask:
+            if weight1 is None:
+                return y if not prenorm else (y, residual_out)
+            else:
+                return (y, y1) if not prenorm else (y, y1, residual_out)
+        else:
+            if weight1 is None:
+                return (
+                    (y, dropout_mask, dropout_mask1)
+                    if not prenorm
+                    else (y, residual_out, dropout_mask, dropout_mask1)
+                )
+            else:
+                return (
+                    (y, y1, dropout_mask, dropout_mask1)
+                    if not prenorm
+                    else (y, y1, residual_out, dropout_mask, dropout_mask1)
+                )
+
+    @staticmethod
+    def backward(ctx, dy, *args):
+        x, weight, bias, weight1, bias1, rowscale, seeds, mean, rstd = ctx.saved_tensors
+        dy = dy.reshape(-1, dy.shape[-1])
+        if dy.stride(-1) != 1:
+            dy = dy.contiguous()
+        assert dy.shape == x.shape
+        if weight1 is not None:
+            dy1, args = args[0], args[1:]
+            dy1 = dy1.reshape(-1, dy1.shape[-1])
+            if dy1.stride(-1) != 1:
+                dy1 = dy1.contiguous()
+            assert dy1.shape == x.shape
+        else:
+            dy1 = None
+        if ctx.prenorm:
+            dresidual = args[0]
+            dresidual = dresidual.reshape(-1, dresidual.shape[-1])
+            if dresidual.stride(-1) != 1:
+                dresidual = dresidual.contiguous()
+            assert dresidual.shape == x.shape
+        else:
+            dresidual = None
+        dx, dw, db, dresidual_in, dx1, dw1, db1 = _layer_norm_bwd(
+            dy,
+            x,
+            weight,
+            bias,
+            ctx.eps,
+            mean,
+            rstd,
+            dresidual,
+            dy1,
+            weight1,
+            bias1,
+            seeds,
+            ctx.dropout_p,
+            rowscale,
+            ctx.has_residual,
+            ctx.has_x1,
+            ctx.is_rms_norm,
+            x_dtype=ctx.x_dtype,
+        )
+        return (
+            dx.reshape(ctx.x_shape_og),
+            dw,
+            db,
+            dresidual_in.reshape(ctx.x_shape_og) if ctx.has_residual else None,
+            dx1.reshape(ctx.x_shape_og) if dx1 is not None else None,
+            dw1,
+            db1,
+            None,
+            None,
+            None,
+            None,
+            None,
+            None,
+            None,
+        )
+
+
+def layer_norm_fn(
+    x,
+    weight,
+    bias,
+    residual=None,
+    x1=None,
+    weight1=None,
+    bias1=None,
+    eps=1e-6,
+    dropout_p=0.0,
+    rowscale=None,
+    prenorm=False,
+    residual_in_fp32=False,
+    is_rms_norm=False,
+    return_dropout_mask=False,
+):
+    return LayerNormFn.apply(
+        x,
+        weight,
+        bias,
+        residual,
+        x1,
+        weight1,
+        bias1,
+        eps,
+        dropout_p,
+        rowscale,
+        prenorm,
+        residual_in_fp32,
+        is_rms_norm,
+        return_dropout_mask,
+    )
+
+
+def rms_norm_fn(
+    x,
+    weight,
+    bias,
+    residual=None,
+    x1=None,
+    weight1=None,
+    bias1=None,
+    eps=1e-6,
+    dropout_p=0.0,
+    rowscale=None,
+    prenorm=False,
+    residual_in_fp32=False,
+    return_dropout_mask=False,
+):
+    return LayerNormFn.apply(
+        x,
+        weight,
+        bias,
+        residual,
+        x1,
+        weight1,
+        bias1,
+        eps,
+        dropout_p,
+        rowscale,
+        prenorm,
+        residual_in_fp32,
+        True,
+        return_dropout_mask,
+    )
+
+
+class RMSNorm(torch.nn.Module):
+
+    def __init__(self, hidden_size, eps=1e-5, dropout_p=0.0, device=None, dtype=None):
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.eps = eps
+        if dropout_p > 0.0:
+            self.drop = torch.nn.Dropout(dropout_p)
+        else:
+            self.drop = None
+        self.weight = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs))
+        self.register_parameter("bias", None)
+        self.reset_parameters()
+
+    def reset_parameters(self):
+        torch.nn.init.ones_(self.weight)
+
+    def forward(self, x, residual=None, prenorm=False, residual_in_fp32=False):
+        return rms_norm_fn(
+            x,
+            self.weight,
+            self.bias,
+            residual=residual,
+            eps=self.eps,
+            dropout_p=self.drop.p if self.drop is not None and self.training else 0.0,
+            prenorm=prenorm,
+            residual_in_fp32=residual_in_fp32,
+        )
+
+
+class LayerNormLinearFn(torch.autograd.Function):
+    @staticmethod
+    @custom_fwd
+    def forward(
+        ctx,
+        x,
+        norm_weight,
+        norm_bias,
+        linear_weight,
+        linear_bias,
+        residual=None,
+        eps=1e-6,
+        prenorm=False,
+        residual_in_fp32=False,
+        is_rms_norm=False,
+    ):
+        x_shape_og = x.shape
+        # reshape input data into 2D tensor
+        x = x.reshape(-1, x.shape[-1])
+        if x.stride(-1) != 1:
+            x = x.contiguous()
+        if residual is not None:
+            assert residual.shape == x_shape_og
+            residual = residual.reshape(-1, residual.shape[-1])
+            if residual.stride(-1) != 1:
+                residual = residual.contiguous()
+        norm_weight = norm_weight.contiguous()
+        if norm_bias is not None:
+            norm_bias = norm_bias.contiguous()
+        residual_dtype = (
+            residual.dtype
+            if residual is not None
+            else (torch.float32 if residual_in_fp32 else None)
+        )
+        y, _, mean, rstd, residual_out, *rest = _layer_norm_fwd(
+            x,
+            norm_weight,
+            norm_bias,
+            eps,
+            residual,
+            out_dtype=None if not torch.is_autocast_enabled() else torch.get_autocast_gpu_dtype(),
+            residual_dtype=residual_dtype,
+            is_rms_norm=is_rms_norm,
+        )
+        y = y.reshape(x_shape_og)
+        dtype = torch.get_autocast_gpu_dtype() if torch.is_autocast_enabled() else y.dtype
+        linear_weight = linear_weight.to(dtype)
+        linear_bias = linear_bias.to(dtype) if linear_bias is not None else None
+        out = F.linear(y.to(linear_weight.dtype), linear_weight, linear_bias)
+        # We don't store y, will be recomputed in the backward pass to save memory
+        ctx.save_for_backward(residual_out, norm_weight, norm_bias, linear_weight, mean, rstd)
+        ctx.x_shape_og = x_shape_og
+        ctx.eps = eps
+        ctx.is_rms_norm = is_rms_norm
+        ctx.has_residual = residual is not None
+        ctx.prenorm = prenorm
+        ctx.x_dtype = x.dtype
+        ctx.linear_bias_is_none = linear_bias is None
+        return out if not prenorm else (out, residual_out.reshape(x_shape_og))
+
+    @staticmethod
+    @custom_bwd
+    def backward(ctx, dout, *args):
+        x, norm_weight, norm_bias, linear_weight, mean, rstd = ctx.saved_tensors
+        dout = dout.reshape(-1, dout.shape[-1])
+        dy = F.linear(dout, linear_weight.t())
+        dlinear_bias = None if ctx.linear_bias_is_none else dout.sum(0)
+        if dy.stride(-1) != 1:
+            dy = dy.contiguous()
+        assert dy.shape == x.shape
+        if ctx.prenorm:
+            dresidual = args[0]
+            dresidual = dresidual.reshape(-1, dresidual.shape[-1])
+            if dresidual.stride(-1) != 1:
+                dresidual = dresidual.contiguous()
+            assert dresidual.shape == x.shape
+        else:
+            dresidual = None
+        dx, dnorm_weight, dnorm_bias, dresidual_in, _, _, _, y = _layer_norm_bwd(
+            dy,
+            x,
+            norm_weight,
+            norm_bias,
+            ctx.eps,
+            mean,
+            rstd,
+            dresidual=dresidual,
+            has_residual=ctx.has_residual,
+            is_rms_norm=ctx.is_rms_norm,
+            x_dtype=ctx.x_dtype,
+            recompute_output=True,
+        )
+        dlinear_weight = torch.einsum("bo,bi->oi", dout, y)
+        return (
+            dx.reshape(ctx.x_shape_og),
+            dnorm_weight,
+            dnorm_bias,
+            dlinear_weight,
+            dlinear_bias,
+            dresidual_in.reshape(ctx.x_shape_og) if ctx.has_residual else None,
+            None,
+            None,
+            None,
+            None,
+        )
+
+
+def layer_norm_linear_fn(
+    x,
+    norm_weight,
+    norm_bias,
+    linear_weight,
+    linear_bias,
+    residual=None,
+    eps=1e-6,
+    prenorm=False,
+    residual_in_fp32=False,
+    is_rms_norm=False,
+):
+    return LayerNormLinearFn.apply(
+        x,
+        norm_weight,
+        norm_bias,
+        linear_weight,
+        linear_bias,
+        residual,
+        eps,
+        prenorm,
+        residual_in_fp32,
+        is_rms_norm,
+    )

mamba/build/lib/mamba_ssm/ops/triton/layernorm_gated.py

@@ -0,0 +1,437 @@
+# Copyright (c) 2024, Tri Dao.
+# Based on the Triton LayerNorm tutorial: https://triton-lang.org/main/getting-started/tutorials/05-layer-norm.html
+# For the backward pass, we keep weight_grad and bias_grad in registers and accumulate.
+# This backward pass is faster for dimensions up to 8k, but after that it's much slower due to register spilling.
+# The models we train have hidden dim up to 8k anyway (e.g. Llama 70B), so this is fine.
+
+import math
+
+import torch
+import torch.nn.functional as F
+
+import triton
+import triton.language as tl
+
+from einops import rearrange
+
+
+def rms_norm_ref(x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True, upcast=True):
+    dtype = x.dtype
+    N = x.shape[-1]
+    weight = weight.float()
+    bias = bias.float() if bias is not None else None
+    if upcast:
+        x = x.float()
+        z = z.float() if z is not None else z
+    if z is not None and not norm_before_gate:
+        x = x * F.silu(z)
+    if group_size is None:
+        rstd = 1 / torch.sqrt((x.square()).mean(dim=-1, keepdim=True) + eps)
+        out = (x * rstd * weight) + bias if bias is not None else (x * rstd * weight)
+    else:
+        x_group = rearrange(x, "... (g d) -> ... g d", d=group_size)
+        rstd = 1 / torch.sqrt((x_group.square()).mean(dim=-1, keepdim=True) + eps)
+        out = rearrange(x_group * rstd, "... g d -> ... (g d)") * weight
+        if bias is not None:
+            out = out + bias
+    if z is not None and norm_before_gate:
+        out *= F.silu(z)
+    return out.to(dtype)
+
+
+@triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None})
+@triton.heuristics({"HAS_Z": lambda args: args["Z"] is not None})
+@triton.jit
+def _layer_norm_fwd_1pass_kernel(
+    X,  # pointer to the input
+    Y,  # pointer to the output
+    W,  # pointer to the weights
+    B,  # pointer to the biases
+    Z,  # pointer to the other branch
+    Mean,  # pointer to the mean
+    Rstd,  # pointer to the 1/std
+    stride_x_row,  # how much to increase the pointer when moving by 1 row
+    stride_y_row,
+    stride_z_row,
+    M,  # number of rows in X
+    N,  # number of columns in X
+    eps,  # epsilon to avoid division by zero
+    BLOCK_N: tl.constexpr,
+    HAS_BIAS: tl.constexpr,
+    HAS_Z: tl.constexpr,
+    NORM_BEFORE_GATE: tl.constexpr,
+    IS_RMS_NORM: tl.constexpr,
+):
+    # Map the program id to the row of X and Y it should compute.
+    row = tl.program_id(0)
+    group = tl.program_id(1)
+    X += row * stride_x_row + group * N
+    Y += row * stride_y_row + group * N
+    if HAS_Z:
+        Z += row * stride_z_row + group * N
+    if not IS_RMS_NORM:
+        Mean += group * M
+    Rstd += group * M
+    W += group * N
+    if HAS_BIAS:
+        B += group * N
+    # Compute mean and variance
+    cols = tl.arange(0, BLOCK_N)
+    x = tl.load(X + cols, mask=cols < N, other=0.).to(tl.float32)
+    if HAS_Z and not NORM_BEFORE_GATE:
+        z = tl.load(Z + cols, mask=cols < N).to(tl.float32)
+        x *= z * tl.sigmoid(z)
+    if not IS_RMS_NORM:
+        mean = tl.sum(x, axis=0) / N
+        tl.store(Mean + row, mean)
+        xbar = tl.where(cols < N, x - mean, 0.)
+        var = tl.sum(xbar * xbar, axis=0) / N
+    else:
+        xbar = tl.where(cols < N, x, 0.)
+        var = tl.sum(xbar * xbar, axis=0) / N
+    rstd = 1 / tl.sqrt(var + eps)
+    tl.store(Rstd + row, rstd)
+    # Normalize and apply linear transformation
+    mask = cols < N
+    w = tl.load(W + cols, mask=mask).to(tl.float32)
+    if HAS_BIAS:
+        b = tl.load(B + cols, mask=mask).to(tl.float32)
+    x_hat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd
+    y = x_hat * w + b if HAS_BIAS else x_hat * w
+    if HAS_Z and NORM_BEFORE_GATE:
+        z = tl.load(Z + cols, mask=mask).to(tl.float32)
+        y *= z * tl.sigmoid(z)
+    # Write output
+    tl.store(Y + cols, y, mask=mask)
+
+
+def _layer_norm_fwd(x, weight, bias, eps, z=None, out=None, group_size=None, norm_before_gate=True, is_rms_norm=False):
+    M, N = x.shape
+    if group_size is None:
+        group_size = N
+    assert N % group_size == 0
+    ngroups = N // group_size
+    assert x.stride(-1) == 1
+    if z is not None:
+        assert z.stride(-1) == 1
+        assert z.shape == (M, N)
+    assert weight.shape == (N,)
+    assert weight.stride(-1) == 1
+    if bias is not None:
+        assert bias.stride(-1) == 1
+        assert bias.shape == (N,)
+    # allocate output
+    if out is not None:
+        assert out.shape == x.shape
+    else:
+        out = torch.empty_like(x)
+    assert out.stride(-1) == 1
+    mean = torch.empty((ngroups * M, ), dtype=torch.float32, device=x.device) if not is_rms_norm else None
+    rstd = torch.empty((ngroups * M, ), dtype=torch.float32, device=x.device)
+    # Less than 64KB per feature: enqueue fused kernel
+    MAX_FUSED_SIZE = 65536 // x.element_size()
+    BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(group_size))
+    if group_size > BLOCK_N:
+        raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.")
+    # heuristics for number of warps
+    num_warps = min(max(BLOCK_N // 256, 1), 8)
+    grid = (M, ngroups)
+    with torch.cuda.device(x.device.index):
+        _layer_norm_fwd_1pass_kernel[grid](x, out, weight, bias, z, mean, rstd,
+                                           x.stride(0), out.stride(0), z.stride(0) if z is not None else 0,
+                                           M, group_size, eps,
+                                           BLOCK_N=BLOCK_N,
+                                           NORM_BEFORE_GATE=norm_before_gate,
+                                           IS_RMS_NORM=is_rms_norm,
+                                           num_warps=num_warps)
+    return out, mean, rstd
+
+
+
+@triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None})
+@triton.heuristics({"HAS_Z": lambda args: args["Z"] is not None})
+@triton.heuristics({"RECOMPUTE_OUTPUT": lambda args: args["Y"] is not None})
+@triton.jit
+def _layer_norm_bwd_kernel(
+    X,   # pointer to the input
+    W,   # pointer to the weights
+    B,   # pointer to the biases
+    Z,   # pointer to the other branch
+    Y,   # pointer to the output to be recomputed
+    DY,  # pointer to the output gradient
+    DX,  # pointer to the input gradient
+    DW,  # pointer to the partial sum of weights gradient
+    DB,  # pointer to the partial sum of biases gradient
+    DZ,  # pointer to the other branch
+    Mean,   # pointer to the mean
+    Rstd,   # pointer to the 1/std
+    stride_x_row,  # how much to increase the pointer when moving by 1 row
+    stride_z_row,
+    stride_y_row,
+    stride_dy_row,
+    stride_dx_row,
+    stride_dz_row,
+    stride_dw_row,
+    stride_db_row,
+    M,  # number of rows in X
+    N,  # number of columns in X
+    eps,  # epsilon to avoid division by zero
+    rows_per_program,
+    NORM_BEFORE_GATE: tl.constexpr,
+    IS_RMS_NORM: tl.constexpr,
+    HAS_BIAS: tl.constexpr,
+    HAS_Z: tl.constexpr,
+    RECOMPUTE_OUTPUT: tl.constexpr,
+    BLOCK_N: tl.constexpr,
+):
+    # Map the program id to the elements of X, DX, and DY it should compute.
+    row_block_id = tl.program_id(0)
+    group = tl.program_id(1)
+    row_start = row_block_id * rows_per_program
+    cols = tl.arange(0, BLOCK_N)
+    mask = cols < N
+    X += row_start * stride_x_row + group * N
+    if HAS_Z:
+        Z += row_start * stride_z_row + group * N
+        DZ += row_start * stride_dz_row + group * N
+    DY += row_start * stride_dy_row + group * N
+    DX += row_start * stride_dx_row + group * N
+    if RECOMPUTE_OUTPUT:
+        Y += row_start * stride_y_row + group * N
+    if not IS_RMS_NORM:
+        Mean += group * M
+    Rstd += group * M
+    W += group * N
+    w = tl.load(W + cols, mask=mask).to(tl.float32)
+    if (RECOMPUTE_OUTPUT or HAS_Z) and HAS_BIAS:
+        B += group * N
+        b = tl.load(B + cols, mask=mask, other=0.).to(tl.float32)
+    dw = tl.zeros((BLOCK_N,), dtype=tl.float32)
+    if HAS_BIAS:
+        db = tl.zeros((BLOCK_N,), dtype=tl.float32)
+    row_end = min((row_block_id + 1) * rows_per_program, M)
+    for row in range(row_start, row_end):
+        # Load data to SRAM
+        x = tl.load(X + cols, mask=mask, other=0).to(tl.float32)
+        dy = tl.load(DY + cols, mask=mask, other=0).to(tl.float32)
+        if not IS_RMS_NORM:
+            mean = tl.load(Mean + row)
+        if HAS_Z and not NORM_BEFORE_GATE:
+            z = tl.load(Z + cols, mask=mask, other=0.).to(tl.float32)
+            x_og = x
+            x = x_og * z * tl.sigmoid(z)
+        rstd = tl.load(Rstd + row)
+        # Compute dx
+        xhat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd
+        xhat = tl.where(mask, xhat, 0.)
+        if HAS_Z and NORM_BEFORE_GATE:
+            z = tl.load(Z + cols, mask=mask, other=0.).to(tl.float32)
+            z_sigmoid = tl.sigmoid(z)
+            y = xhat * w + b if HAS_BIAS else xhat * w
+            if RECOMPUTE_OUTPUT:
+                tl.store(Y + cols, y * z * z_sigmoid, mask=mask)
+            dz = dy * y * z_sigmoid * (1 + z * (1 - z_sigmoid))
+            tl.store(DZ + cols, dz, mask=mask)
+            dy *= z * z_sigmoid
+        else:
+            if RECOMPUTE_OUTPUT:
+                y = xhat * w + b if HAS_BIAS else xhat * w
+                tl.store(Y + cols, y, mask=mask)
+        wdy = w * dy
+        c1 = tl.sum(xhat * wdy, axis=0) / N
+        if not IS_RMS_NORM:
+            c2 = tl.sum(wdy, axis=0) / N
+            dx = (wdy - (xhat * c1 + c2)) * rstd
+        else:
+            dx = (wdy - xhat * c1) * rstd
+        dw += dy * xhat
+        if HAS_BIAS:
+            db += dy
+        if HAS_Z and not NORM_BEFORE_GATE:
+            z_sigmoid = tl.sigmoid(z)
+            dz = dx * x_og * z_sigmoid * (1 + z * (1 - z_sigmoid))
+            tl.store(DZ + cols, dz, mask=mask)
+            dx *= z * z_sigmoid
+        # Write dx
+        tl.store(DX + cols, dx, mask=mask)
+
+        X += stride_x_row
+        if HAS_Z:
+            Z += stride_z_row
+            DZ += stride_dz_row
+        if RECOMPUTE_OUTPUT:
+            Y += stride_y_row
+        DY += stride_dy_row
+        DX += stride_dx_row
+    tl.store(DW + row_block_id * stride_dw_row + group * N + cols, dw, mask=mask)
+    if HAS_BIAS:
+        tl.store(DB + row_block_id * stride_db_row + group * N + cols, db, mask=mask)
+
+
+def _layer_norm_bwd(dy, x, weight, bias, eps, mean, rstd, z=None, group_size=None,
+                    norm_before_gate=True, is_rms_norm=False, recompute_output=False, dz=None, out=None):
+    M, N = x.shape
+    if group_size is None:
+        group_size = N
+    assert N % group_size == 0
+    ngroups = N // group_size
+    assert x.stride(-1) == 1
+    assert dy.stride(-1) == 1
+    assert dy.shape == (M, N)
+    if z is not None:
+        assert z.stride(-1) == 1
+        assert z.shape == (M, N)
+    assert weight.shape == (N,)
+    assert weight.stride(-1) == 1
+    if bias is not None:
+        assert bias.stride(-1) == 1
+        assert bias.shape == (N,)
+    # allocate output
+    dx = torch.empty_like(x)
+    if dz is not None:
+        assert z is not None
+        assert dz.shape == z.shape
+        assert dz.stride(-1) == 1
+    else:
+        dz = torch.empty_like(z) if z is not None else None
+    if recompute_output:
+        if out is None:
+            out = torch.empty_like(x)
+        assert out.shape == x.shape
+
+    # Less than 64KB per feature: enqueue fused kernel
+    MAX_FUSED_SIZE = 65536 // x.element_size()
+    BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(group_size))
+    if group_size > BLOCK_N:
+        raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.")
+    # heuristics for number of warps
+    num_warps = min(max(BLOCK_N // 256, 1), 8)
+    sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count
+    # If group size is small (e.g., 64), we're only using 1 warp. So having just 108 programs
+    # would limit the occupancy.
+    nrow_groups = math.ceil(sm_count * math.ceil(4 / num_warps) / ngroups)
+    _dw = torch.empty((nrow_groups, N), dtype=torch.float32, device=weight.device)
+    _db = torch.empty((nrow_groups, N), dtype=torch.float32, device=bias.device) if bias is not None else None
+    rows_per_program = math.ceil(M / nrow_groups)
+    grid = (nrow_groups, ngroups)
+    with torch.cuda.device(x.device.index):
+        _layer_norm_bwd_kernel[grid](x, weight, bias, z, out if recompute_output else None,
+                                     dy, dx, _dw, _db, dz, mean, rstd,
+                                     x.stride(0),
+                                     z.stride(0) if z is not None else 0,
+                                     0 if not recompute_output else out.stride(0),
+                                     dy.stride(0), dx.stride(0),
+                                     dz.stride(0) if dz is not None else 0,
+                                     _dw.stride(0),
+                                     _db.stride(0) if _db is not None else 0,
+                                     M, group_size, eps,
+                                     rows_per_program,
+                                     BLOCK_N=BLOCK_N,
+                                     NORM_BEFORE_GATE=norm_before_gate,
+                                     IS_RMS_NORM=is_rms_norm,
+                                     num_warps=num_warps)
+    dw = _dw.sum(0).to(weight.dtype)
+    db = _db.sum(0).to(bias.dtype) if bias is not None else None
+    return (dx, dw, db, dz) if not recompute_output else (dx, dw, db, dz, out)
+
+
+class LayerNormFn(torch.autograd.Function):
+
+    @staticmethod
+    def forward(ctx, x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True,
+                is_rms_norm=False):
+        """If z is not None, we do norm(x) * silu(z) if norm_before_gate, else norm(x * silu(z))
+        """
+
+        x_shape_og = x.shape
+        # reshape input data into 2D tensor
+        x = x.reshape(-1, x.shape[-1])
+        if x.stride(-1) != 1:
+            x = x.contiguous()
+        if z is not None:
+            assert z.shape == x_shape_og
+            z = z.reshape(-1, z.shape[-1])
+            if z.stride(-1) != 1:
+                z = z.contiguous()
+        weight = weight.contiguous()
+        if bias is not None:
+            bias = bias.contiguous()
+        y, mean, rstd = _layer_norm_fwd(x, weight, bias, eps, z=z, group_size=group_size, norm_before_gate=norm_before_gate, is_rms_norm=is_rms_norm)
+        ctx.save_for_backward(x, weight, bias, mean, rstd, z)
+        ctx.x_shape_og = x_shape_og
+        ctx.eps = eps
+        ctx.group_size = group_size
+        ctx.norm_before_gate = norm_before_gate
+        ctx.is_rms_norm = is_rms_norm
+        return y.reshape(x_shape_og)
+
+    @staticmethod
+    def backward(ctx, dy):
+        x, weight, bias, mean, rstd, z = ctx.saved_tensors
+        dy = dy.reshape(-1, dy.shape[-1])
+        if dy.stride(-1) != 1:
+            dy = dy.contiguous()
+        assert dy.shape == x.shape
+        dx, dw, db, dz = _layer_norm_bwd(dy, x, weight, bias, ctx.eps, mean, rstd, z, ctx.group_size,
+                                         ctx.norm_before_gate, ctx.is_rms_norm)
+        return dx.reshape(ctx.x_shape_og), dw, db, dz.reshape(ctx.x_shape_og) if dz is not None else None, None, None, None, None
+
+
+def layernorm_fn(x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True, is_rms_norm=False):
+    return LayerNormFn.apply(x, weight, bias, z, eps, group_size, norm_before_gate, is_rms_norm)
+
+
+def rmsnorm_fn(x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True):
+    return LayerNormFn.apply(x, weight, bias, z, eps, group_size, norm_before_gate, True)
+
+
+class LayerNorm(torch.nn.Module):
+
+    def __init__(self, hidden_size, eps=1e-5, group_size=None, norm_before_gate=True, device=None, dtype=None):
+        """If group_size is not None, we do GroupNorm with each group having group_size elements.
+        group_size=None is equivalent to group_size=hidden_size (i.e. there's only 1 group).
+        """
+
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.eps = eps
+        self.weight = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs))
+        self.bias = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs))
+        self.group_size = group_size
+        self.norm_before_gate = norm_before_gate
+        self.reset_parameters()
+
+    def reset_parameters(self):
+        torch.nn.init.ones_(self.weight)
+        torch.nn.init.zeros_(self.bias)
+
+    def forward(self, x, z=None):
+        """If z is not None, we do norm(x) * silu(z) if norm_before_gate, else norm(x * silu(z))
+        """
+        return layernorm_fn(x, self.weight, self.bias, z=z, group_size=self.group_size, eps=self.eps,
+                            norm_before_gate=self.norm_before_gate)
+
+
+class RMSNorm(torch.nn.Module):
+
+    def __init__(self, hidden_size, eps=1e-5, group_size=None, norm_before_gate=True, device=None, dtype=None):
+        """If group_size is not None, we do GroupNorm with each group having group_size elements.
+        group_size=None is equivalent to group_size=hidden_size (i.e. there's only 1 group).
+        """
+        factory_kwargs = {"device": device, "dtype": dtype}
+        super().__init__()
+        self.eps = eps
+        self.weight = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs))
+        self.register_parameter("bias", None)
+        self.group_size = group_size
+        self.norm_before_gate = norm_before_gate
+        self.reset_parameters()
+
+    def reset_parameters(self):
+        torch.nn.init.ones_(self.weight)
+
+    def forward(self, x, z=None):
+        """If z is not None, we do norm(x) * silu(z) if norm_before_gate, else norm(x * silu(z))
+        """
+        return rmsnorm_fn(x, self.weight, self.bias, z=z, eps=self.eps, group_size=self.group_size,
+                          norm_before_gate=self.norm_before_gate)

mamba/build/lib/mamba_ssm/ops/triton/selective_state_update.py

@@ -0,0 +1,265 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+"""We want triton==2.1.0 or triton==2.2.0 or triton==2.3.0 for this
+"""
+
+import math
+import torch
+import torch.nn.functional as F
+
+import triton
+import triton.language as tl
+
+from einops import rearrange, repeat
+
+from mamba_ssm.ops.triton.softplus import softplus
+
+
+@triton.heuristics({"HAS_DT_BIAS": lambda args: args["dt_bias_ptr"] is not None})
+@triton.heuristics({"HAS_D": lambda args: args["D_ptr"] is not None})
+@triton.heuristics({"HAS_Z": lambda args: args["z_ptr"] is not None})
+@triton.heuristics({"BLOCK_SIZE_DSTATE": lambda args: triton.next_power_of_2(args["dstate"])})
+@triton.jit
+def _selective_scan_update_kernel(
+    # Pointers to matrices
+    state_ptr, x_ptr, dt_ptr, dt_bias_ptr, A_ptr, B_ptr, C_ptr, D_ptr, z_ptr, out_ptr,
+    # Matrix dimensions
+    batch, nheads, dim, dstate, nheads_ngroups_ratio,
+    # Strides
+    stride_state_batch, stride_state_head, stride_state_dim, stride_state_dstate,
+    stride_x_batch, stride_x_head, stride_x_dim,
+    stride_dt_batch, stride_dt_head, stride_dt_dim,
+    stride_dt_bias_head, stride_dt_bias_dim,
+    stride_A_head, stride_A_dim, stride_A_dstate,
+    stride_B_batch, stride_B_group, stride_B_dstate,
+    stride_C_batch, stride_C_group, stride_C_dstate,
+    stride_D_head, stride_D_dim,
+    stride_z_batch, stride_z_head, stride_z_dim,
+    stride_out_batch, stride_out_head, stride_out_dim,
+    # Meta-parameters
+    DT_SOFTPLUS: tl.constexpr,
+    TIE_HDIM: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr,
+    HAS_DT_BIAS: tl.constexpr,
+    HAS_D: tl.constexpr,
+    HAS_Z: tl.constexpr,
+    BLOCK_SIZE_DSTATE: tl.constexpr,
+):
+    pid_m = tl.program_id(axis=0)
+    pid_b = tl.program_id(axis=1)
+    pid_h = tl.program_id(axis=2)
+    state_ptr += pid_b * stride_state_batch + pid_h * stride_state_head
+    x_ptr += pid_b * stride_x_batch + pid_h * stride_x_head
+    dt_ptr += pid_b * stride_dt_batch + pid_h * stride_dt_head
+    if HAS_DT_BIAS:
+        dt_bias_ptr += pid_h * stride_dt_bias_head
+    A_ptr += pid_h * stride_A_head
+    B_ptr += pid_b * stride_B_batch + (pid_h // nheads_ngroups_ratio) * stride_B_group
+    C_ptr += pid_b * stride_C_batch + (pid_h // nheads_ngroups_ratio) * stride_C_group
+    if HAS_Z:
+        z_ptr += pid_b * stride_z_batch + pid_h * stride_z_head
+    out_ptr += pid_b * stride_out_batch + pid_h * stride_out_head
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = tl.arange(0, BLOCK_SIZE_DSTATE)
+    state_ptrs = state_ptr + (offs_m[:, None] * stride_state_dim + offs_n[None, :] * stride_state_dstate)
+    x_ptrs = x_ptr + offs_m * stride_x_dim
+    dt_ptrs = dt_ptr + offs_m * stride_dt_dim
+    if HAS_DT_BIAS:
+        dt_bias_ptrs = dt_bias_ptr + offs_m * stride_dt_bias_dim
+    if HAS_D:
+        D_ptr += pid_h * stride_D_head
+    A_ptrs = A_ptr + (offs_m[:, None] * stride_A_dim + offs_n[None, :] * stride_A_dstate)
+    B_ptrs = B_ptr + offs_n * stride_B_dstate
+    C_ptrs = C_ptr + offs_n * stride_C_dstate
+    if HAS_D:
+        D_ptrs = D_ptr + offs_m * stride_D_dim
+    if HAS_Z:
+        z_ptrs = z_ptr + offs_m * stride_z_dim
+    out_ptrs = out_ptr + offs_m * stride_out_dim
+
+    state = tl.load(state_ptrs, mask=(offs_m[:, None] < dim) & (offs_n[None, :] < dstate), other=0.0)
+    x = tl.load(x_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+    if not TIE_HDIM:
+        dt = tl.load(dt_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        if HAS_DT_BIAS:
+            dt += tl.load(dt_bias_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        if DT_SOFTPLUS:
+            dt = softplus(dt)
+        A = tl.load(A_ptrs, mask=(offs_m[:, None] < dim) & (offs_n[None, :] < dstate), other=0.0).to(tl.float32)
+        dA = tl.exp(A * dt[:, None])
+    else:
+        dt = tl.load(dt_ptr).to(tl.float32)
+        if HAS_DT_BIAS:
+            dt += tl.load(dt_bias_ptr).to(tl.float32)
+        if DT_SOFTPLUS:
+            dt = softplus(dt)
+        A = tl.load(A_ptr).to(tl.float32)
+        dA = tl.exp(A * dt)  # scalar, not a matrix
+
+    B = tl.load(B_ptrs, mask=offs_n < dstate, other=0.0).to(tl.float32)
+    C = tl.load(C_ptrs, mask=offs_n < dstate, other=0.0).to(tl.float32)
+    if HAS_D:
+        D = tl.load(D_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+    if HAS_Z:
+        z = tl.load(z_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+
+    if not TIE_HDIM:
+        dB = B[None, :] * dt[:, None]
+    else:
+        dB = B * dt  # vector of size (dstate,)
+    state = state * dA + dB * x[:, None]
+    tl.store(state_ptrs, state, mask=(offs_m[:, None] < dim) & (offs_n[None, :] < dstate))
+    out = tl.sum(state * C[None, :], axis=1)
+    if HAS_D:
+        out += x * D
+    if HAS_Z:
+        out *= z * tl.sigmoid(z)
+    tl.store(out_ptrs, out, mask=offs_m < dim)
+
+
+def selective_state_update(state, x, dt, A, B, C, D=None, z=None, dt_bias=None, dt_softplus=False):
+    """
+    Argument:
+        state: (batch, dim, dstate) or (batch, nheads, dim, dstate)
+        x: (batch, dim) or (batch, nheads, dim)
+        dt: (batch, dim) or (batch, nheads, dim)
+        A: (dim, dstate) or (nheads, dim, dstate)
+        B: (batch, dstate) or (batch, ngroups, dstate)
+        C: (batch, dstate) or (batch, ngroups, dstate)
+        D: (dim,) or (nheads, dim)
+        z: (batch, dim) or (batch, nheads, dim)
+        dt_bias: (dim,) or (nheads, dim)
+    Return:
+        out: (batch, dim) or (batch, nheads, dim)
+    """
+    has_heads = state.dim() > 3
+    if state.dim() == 3:
+        state = state.unsqueeze(1)
+    if x.dim() == 2:
+        x = x.unsqueeze(1)
+    if dt.dim() == 2:
+        dt = dt.unsqueeze(1)
+    if A.dim() == 2:
+        A = A.unsqueeze(0)
+    if B.dim() == 2:
+        B = B.unsqueeze(1)
+    if C.dim() == 2:
+        C = C.unsqueeze(1)
+    if D is not None and D.dim() == 1:
+        D = D.unsqueeze(0)
+    if z is not None and z.dim() == 2:
+        z = z.unsqueeze(1)
+    if dt_bias is not None and dt_bias.dim() == 1:
+        dt_bias = dt_bias.unsqueeze(0)
+    batch, nheads, dim, dstate = state.shape
+    assert x.shape == (batch, nheads, dim)
+    assert dt.shape == x.shape
+    assert A.shape == (nheads, dim, dstate)
+    ngroups = B.shape[1]
+    assert nheads % ngroups == 0, "nheads must be divisible by ngroups"
+    assert B.shape == (batch, ngroups, dstate)
+    assert C.shape == B.shape
+    if D is not None:
+        assert D.shape == (nheads, dim)
+    if z is not None:
+        assert z.shape == x.shape
+    if dt_bias is not None:
+        assert dt_bias.shape == (nheads, dim)
+    out = torch.empty_like(x)
+    grid = lambda META: (triton.cdiv(dim, META['BLOCK_SIZE_M']), batch, nheads)
+    z_strides = ((z.stride(0), z.stride(1), z.stride(2)) if z is not None else (0, 0, 0))
+    # We don't want autotune since it will overwrite the state
+    # We instead tune by hand.
+    BLOCK_SIZE_M, num_warps = ((32, 4) if dstate <= 16
+                               else ((16, 4) if dstate <= 32 else
+                                     ((8, 4) if dstate <= 64 else
+                                      ((4, 4) if dstate <= 128 else
+                                       ((4, 8))))))
+    tie_hdim = A.stride(-1) == 0 and A.stride(-2) == 0 and dt.stride(-1) == 0 and dt_bias.stride(-1) == 0
+    with torch.cuda.device(x.device.index):
+        _selective_scan_update_kernel[grid](
+            state, x, dt, dt_bias, A, B, C, D, z, out,
+            batch, nheads, dim, dstate, nheads // ngroups,
+            state.stride(0), state.stride(1), state.stride(2), state.stride(3),
+            x.stride(0), x.stride(1), x.stride(2),
+            dt.stride(0), dt.stride(1), dt.stride(2),
+            *(dt_bias.stride(0), dt_bias.stride(1)) if dt_bias is not None else 0,
+            A.stride(0), A.stride(1), A.stride(2),
+            B.stride(0), B.stride(1), B.stride(2),
+            C.stride(0), C.stride(1), C.stride(2),
+            *(D.stride(0), D.stride(1)) if D is not None else 0,
+            z_strides[0], z_strides[1], z_strides[2],
+            out.stride(0), out.stride(1), out.stride(2),
+            dt_softplus,
+            tie_hdim,
+            BLOCK_SIZE_M,
+            num_warps=num_warps,
+        )
+    if not has_heads:
+        out = out.squeeze(1)
+    return out
+
+
+def selective_state_update_ref(state, x, dt, A, B, C, D=None, z=None, dt_bias=None, dt_softplus=False):
+    """
+    Argument:
+        state: (batch, dim, dstate) or (batch, nheads, dim, dstate)
+        x: (batch, dim) or (batch, nheads, dim)
+        dt: (batch, dim) or (batch, nheads, dim)
+        A: (dim, dstate) or (nheads, dim, dstate)
+        B: (batch, dstate) or (batch, ngroups, dstate)
+        C: (batch, dstate) or (batch, ngroups, dstate)
+        D: (dim,) or (nheads, dim)
+        z: (batch, dim) or (batch, nheads, dim)
+        dt_bias: (dim,) or (nheads, dim)
+    Return:
+        out: (batch, dim) or (batch, nheads, dim)
+    """
+    has_heads = state.dim() > 3
+    if state.dim() == 3:
+        state = state.unsqueeze(1)
+    if x.dim() == 2:
+        x = x.unsqueeze(1)
+    if dt.dim() == 2:
+        dt = dt.unsqueeze(1)
+    if A.dim() == 2:
+        A = A.unsqueeze(0)
+    if B.dim() == 2:
+        B = B.unsqueeze(1)
+    if C.dim() == 2:
+        C = C.unsqueeze(1)
+    if D is not None and D.dim() == 1:
+        D = D.unsqueeze(0)
+    if z is not None and z.dim() == 2:
+        z = z.unsqueeze(1)
+    if dt_bias is not None and dt_bias.dim() == 1:
+        dt_bias = dt_bias.unsqueeze(0)
+    batch, nheads, dim, dstate = state.shape
+    assert x.shape == (batch, nheads, dim)
+    assert dt.shape == x.shape
+    assert A.shape == (nheads, dim, dstate)
+    ngroups = B.shape[1]
+    assert nheads % ngroups == 0, "nheads must be divisible by ngroups"
+    assert B.shape == (batch, ngroups, dstate)
+    assert C.shape == B.shape
+    if D is not None:
+        assert D.shape == (nheads, dim)
+    if z is not None:
+        assert z.shape == x.shape
+    if dt_bias is not None:
+        assert dt_bias.shape == (nheads, dim)
+        dt = dt + dt_bias
+    dt = F.softplus(dt) if dt_softplus else dt
+    dA = torch.exp(rearrange(dt, "b h d -> b h d 1") * A)  # (batch, nheads, dim, dstate)
+    B = repeat(B, "b g n -> b (g h) n", h=nheads // ngroups)  # (batch, nheads, dstate)
+    C = repeat(C, "b g n -> b (g h) n", h=nheads // ngroups)  # (batch, nheads, dstate)
+    dB = rearrange(dt, "b h d -> b h d 1") * rearrange(B, "b h n -> b h 1 n")  # (batch, nheads, dim, dstate)
+    state.copy_(state * dA + dB * rearrange(x, "b h d -> b h d 1"))  # (batch, dim, dstate
+    out = torch.einsum("bhdn,bhn->bhd", state.to(C.dtype), C)
+    if D is not None:
+        out += (x * D).to(out.dtype)
+    out = (out if z is None else out * F.silu(z)).to(x.dtype)
+    if not has_heads:
+        out = out.squeeze(1)
+    return out

mamba/build/lib/mamba_ssm/ops/triton/softplus.py

@@ -0,0 +1,17 @@
+import triton
+import triton.language as tl
+from packaging import version
+
+TRITON3 = version.parse(triton.__version__) >= version.parse("3.0.0")
+
+
+if TRITON3:
+    @triton.jit
+    def softplus(dt):
+        dt = tl.where(dt <= 20.0, tl.math.log(tl.math.exp(dt) + 1), dt)
+        return dt
+else:
+    @triton.jit
+    def softplus(dt):
+        dt = tl.where(dt <= 20.0, tl.math.log1p(tl.exp(dt)), dt)
+        return dt

mamba/build/lib/mamba_ssm/ops/triton/ssd_bmm.py

@@ -0,0 +1,262 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+"""We want triton==2.1.0 or 2.2.0 for this
+"""
+
+import math
+import torch
+import torch.nn.functional as F
+
+import triton
+import triton.language as tl
+
+from einops import rearrange, repeat
+
+
+def init_to_zero(names):
+    return lambda nargs: [nargs[name].zero_() for name in names if nargs[name] is not None]
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=2),
+    ],
+    key=['chunk_size', 'K', 'IS_CAUSAL'],
+)
+@triton.jit
+def _bmm_chunk_fwd_kernel(
+    # Pointers to matrices
+    a_ptr, b_ptr, out_ptr, seq_idx_ptr,
+    # Matrix dimensions
+    seqlen, chunk_size, K, ngroups,
+    stride_a_batch, stride_a_seqlen, stride_a_head, stride_ak,
+    stride_b_batch, stride_b_seqlen, stride_b_head, stride_bk,
+    stride_out_batch, stride_out_chunk, stride_out_head, stride_outm, stride_outn,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    # Meta-parameters
+    IS_CAUSAL: tl.constexpr,
+    dot_dtype: tl.constexpr,
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=1)
+    pid_ch = tl.program_id(axis=2)
+    pid_c = pid_ch // ngroups
+    pid_h = pid_ch - pid_c * ngroups
+    num_pid_n = tl.cdiv(chunk_size, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    if IS_CAUSAL:
+        if pid_n * BLOCK_SIZE_N >= (pid_m + 1) * BLOCK_SIZE_M:
+            return
+    a_ptr += pid_b * stride_a_batch + pid_c * chunk_size * stride_a_seqlen + pid_h * stride_a_head
+    b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + pid_h * stride_b_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    offs_k = tl.arange(0, BLOCK_SIZE_K)
+    a_ptrs = a_ptr + (offs_m[:, None] * stride_a_seqlen + offs_k[None, :] * stride_ak)
+    b_ptrs = b_ptr + (offs_k[:, None] * stride_bk + offs_n[None, :] * stride_b_seqlen)
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+
+    acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+    for k in range(0, tl.cdiv(K, BLOCK_SIZE_K)):
+        a = tl.load(a_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < K - k * BLOCK_SIZE_K), other=0.0).to(dot_dtype)
+        b = tl.load(b_ptrs, mask=(offs_k[:, None] < K - k * BLOCK_SIZE_K) & (offs_n[None, :] < chunk_size_limit), other=0.0).to(dot_dtype)
+        acc += tl.dot(a, b)
+        a_ptrs += BLOCK_SIZE_K * stride_ak
+        b_ptrs += BLOCK_SIZE_K * stride_bk
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    if HAS_SEQ_IDX:
+        chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+        seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1)
+        seq_idx_n = tl.load(seq_idx_ptr + offs_n * stride_seq_idx_seqlen, mask=offs_n < chunk_size_limit, other=-2)
+        acc = tl.where(seq_idx_m[:, None] == seq_idx_n[None, :], acc, 0.0)
+    out = acc.to(out_ptr.dtype.element_ty)
+
+    out_ptr += pid_b * stride_out_batch + pid_c * stride_out_chunk + pid_h * stride_out_head
+    out_ptrs = out_ptr + (stride_outm * offs_m[:, None] + offs_n[None, :] * stride_outn)
+    tl.store(out_ptrs, out, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size))
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_CS': 64}, num_stages=3, num_warps=8),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_CS': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_CS': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=2),
+    ],
+    key=['chunk_size', 'K'],
+)
+@triton.jit
+def _bmm_chunk_bwd_kernel(
+    # Pointers to matrices
+    a_ptr, dout_ptr, db_ptr, res_ptr,
+    # Matrix dimensions
+    seqlen, chunk_size, K, ngroups,
+    stride_a_batch, stride_a_seqlen, stride_a_head, stride_ak,
+    stride_dout_batch, stride_dout_chunk, stride_dout_head, stride_dout_csize_m, stride_dout_csize_n,
+    stride_db_batch, stride_db_seqlen, stride_db_head, stride_db_k,
+    stride_res_batch, stride_res_seqlen, stride_res_head, stride_res_k,
+    # Meta-parameters
+    dot_dtype: tl.constexpr,
+    HAS_RESIDUAL: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_CS: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=1)
+    pid_ch = tl.program_id(axis=2)
+    pid_c = pid_ch // ngroups
+    pid_h = pid_ch - pid_c * ngroups
+    num_pid_n = tl.cdiv(K, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+
+    a_ptr += pid_b * stride_a_batch + pid_c * chunk_size * stride_a_seqlen + pid_h * stride_a_head
+    dout_ptr += pid_b * stride_dout_batch + pid_c * stride_dout_chunk + pid_h * stride_dout_head
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    offs_cs = tl.arange(0, BLOCK_SIZE_CS)
+    dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_csize_n + offs_cs[None, :] * stride_dout_csize_m)
+    a_ptrs = a_ptr + (offs_cs[:, None] * stride_a_seqlen + offs_n[None, :] * stride_ak)
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+
+    acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+    for cs in range(0, tl.cdiv(chunk_size_limit, BLOCK_SIZE_CS)):
+        dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_cs[None, :] < chunk_size_limit - cs * BLOCK_SIZE_CS), other=0.0).to(dot_dtype)
+        a = tl.load(a_ptrs, mask=(offs_cs[:, None] < chunk_size_limit - cs * BLOCK_SIZE_CS) & (offs_n[None, :] < K), other=0.0).to(dot_dtype)
+        acc += tl.dot(dout, a)
+        dout_ptrs += BLOCK_SIZE_CS * stride_dout_csize_m
+        a_ptrs += BLOCK_SIZE_CS * stride_a_seqlen
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    if HAS_RESIDUAL:
+        res_ptr += pid_b * stride_res_batch + pid_c * chunk_size * stride_res_seqlen + pid_h * stride_res_head
+        res_ptrs = res_ptr + (offs_m[:, None] * stride_res_seqlen + offs_n[None, :] * stride_res_k)
+        res = tl.load(res_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < K)).to(tl.float32)
+        acc += res
+    db = acc.to(db_ptr.dtype.element_ty)
+
+    db_ptr += pid_b * stride_db_batch + pid_c * chunk_size * stride_db_seqlen + pid_h * stride_db_head
+    db_ptrs = db_ptr + (offs_m[:, None] * stride_db_seqlen + offs_n[None, :] * stride_db_k)
+    tl.store(db_ptrs, db, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < K))
+
+
+def _bmm_chunk_fwd(a, b, chunk_size, seq_idx=None, causal=False, output_dtype=None):
+    """
+    Argument:
+        a: (batch, seqlen, k) or (batch, seqlen, ngroups, k)
+        b: (batch, seqlen, k) or (batch, seqlen, ngroups, k)
+        seq_idx: (batch, seqlen) or None. out[i, j] for seq_idx[i] != seq_idx[j] will be zeroed out.
+        causal: if True, then out[i, j] for i > j will be arbitrary, only out[i, j] for i <= j are
+            guaranteed to be correct.
+    Return:
+        out: (batch, nchunks, chunk_size, chunk_size) or (batch, nchunks, ngroups, chunk_size, chunk_size)
+    """
+    # Check constraints.
+    has_groups = a.dim() == 4
+    if not has_groups:
+        batch, seqlen, k = a.shape
+    else:
+        batch, seqlen, ngroups, k = a.shape
+    assert b.shape == a.shape
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    if a.stride(-1) != 1 and a.stride(1) != 1:
+        a = a.contiguous()
+    if b.stride(-1) != 1 and b.stride(1) != 1:
+        b = b.contiguous()
+    nchunks = math.ceil(seqlen / chunk_size)
+    # Allocates output.
+    out_dtype = a.dtype if output_dtype is None else output_dtype
+    out = torch.empty((batch, nchunks, chunk_size, chunk_size) if not has_groups else (batch, nchunks, ngroups, chunk_size, chunk_size),
+                      device=a.device, dtype=out_dtype)
+    dot_dtype = (tl.bfloat16 if a.dtype == torch.bfloat16 or b.dtype == torch.bfloat16 else
+                 (tl.float16 if a.dtype == torch.float16 or b.dtype == torch.float16 else tl.float32))
+    grid = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(chunk_size, META['BLOCK_SIZE_N']),
+                    batch, nchunks if not has_groups else nchunks * ngroups)
+    with torch.cuda.device(a.device.index):
+        _bmm_chunk_fwd_kernel[grid](
+            a, b, out, seq_idx,
+            seqlen, chunk_size, k, ngroups if has_groups else 1,
+            a.stride(0), a.stride(1), 0 if not has_groups else a.stride(2), a.stride(-1),
+            b.stride(0), b.stride(1), 0 if not has_groups else b.stride(2), b.stride(-1),
+            out.stride(0), out.stride(1), 0 if not has_groups else out.stride(2), out.stride(-2), out.stride(-1),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            causal,
+            dot_dtype,
+            HAS_SEQ_IDX=seq_idx is not None,
+        )
+    return out
+
+
+def _bmm_chunk_bwd(a, dout, residual=None, out=None):
+    """
+    Argument:
+        a: (batch, seqlen, k) or (batch, seqlen, ngroups, k)
+        dout: (batch, nchunks, chunk_size, chunk_size) or (batch, nchunks, ngroups, chunk_size, chunk_size)
+        residual: (batch, seqlen, k) or (batch, seqlen, ngroups, k)
+    Return:
+        out: (batch, seqlen, k) or (batch, seqlen, ngroups, k)
+
+    If there was seq_idx in the fwd pass, then dout[i, j] for seq_idx[i] != seq_idx[j] should already be
+    zeroed out before calling this function.
+    """
+    # Check constraints.
+    has_groups = a.dim() == 4
+    if not has_groups:
+        batch, seqlen, k = a.shape
+    else:
+        batch, seqlen, ngroups, k = a.shape
+    nchunks, chunk_size = dout.shape[1], dout.shape[-1]
+    if a.stride(-1) != 1 and a.stride(-2) != 1:
+        a = a.contiguous()
+    if dout.stride(-1) != 1 and dout.stride(-2) != 1:
+        dout = dout.contiguous()
+    if residual is not None:
+        assert residual.shape == (batch, seqlen, k) if not has_groups else (batch, seqlen, ngroups, k)
+        if residual.stride(-1) != 1 and residual.stride(1) != 1:
+            residual = residual.contiguous()
+    # Allocates output.
+    if out is not None:
+        assert out.shape == a.shape
+        assert out.stride(-1) == 1 or out.stride(1) == 1
+    else:
+        out = torch.empty_like(a)
+    dot_dtype = (tl.bfloat16 if a.dtype == torch.bfloat16 or dout.dtype == torch.bfloat16 else
+                 (tl.float16 if a.dtype == torch.float16 or dout.dtype == torch.float16 else tl.float32))
+    grid = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(k, META['BLOCK_SIZE_N']), batch,
+                    nchunks if not has_groups else nchunks * ngroups)
+    residual_strides = ((residual.stride(0), residual.stride(1), 0 if not has_groups else residual.stride(2),
+                         residual.stride(-1))
+                        if residual is not None else (0, 0, 0, 0))
+    with torch.cuda.device(a.device.index):
+        _bmm_chunk_bwd_kernel[grid](
+            a, dout, out, residual,
+            seqlen, chunk_size, k, ngroups if has_groups else 1,
+            a.stride(0), a.stride(1), 0 if not has_groups else a.stride(2), a.stride(-1),
+            dout.stride(0), dout.stride(1), 0 if not has_groups else dout.stride(2), dout.stride(-2), dout.stride(-1),
+            out.stride(0), out.stride(1), 0 if not has_groups else out.stride(2), out.stride(-1),
+            residual_strides[0], residual_strides[1], residual_strides[2], residual_strides[3],
+            dot_dtype,
+            HAS_RESIDUAL=residual is not None,
+        )
+    return out

mamba/build/lib/mamba_ssm/ops/triton/ssd_chunk_state.py

@@ -0,0 +1,988 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+"""We want triton==2.1.0 or 2.2.0 for this
+"""
+
+import math
+import torch
+import torch.nn.functional as F
+
+import triton
+import triton.language as tl
+
+from einops import rearrange, repeat
+
+from mamba_ssm.ops.triton.softplus import softplus
+
+
+def init_to_zero(names):
+    return lambda nargs: [nargs[name].zero_() for name in names if nargs[name] is not None]
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_H': 1}),
+        triton.Config({'BLOCK_SIZE_H': 2}),
+        triton.Config({'BLOCK_SIZE_H': 4}),
+        triton.Config({'BLOCK_SIZE_H': 8}),
+        triton.Config({'BLOCK_SIZE_H': 16}),
+        triton.Config({'BLOCK_SIZE_H': 32}),
+        triton.Config({'BLOCK_SIZE_H': 64}),
+    ],
+    key=['chunk_size', 'nheads'],
+)
+@triton.jit
+def _chunk_cumsum_fwd_kernel(
+    # Pointers to matrices
+    dt_ptr, A_ptr, dt_bias_ptr, dt_out_ptr, dA_cumsum_ptr,
+    # Matrix dimension
+    batch, seqlen, nheads, chunk_size,
+    dt_min, dt_max,
+    # Strides
+    stride_dt_batch, stride_dt_seqlen, stride_dt_head,
+    stride_A_head,
+    stride_dt_bias_head,
+    stride_dt_out_batch, stride_dt_out_chunk, stride_dt_out_head, stride_dt_out_csize,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    # Meta-parameters
+    DT_SOFTPLUS: tl.constexpr,
+    HAS_DT_BIAS: tl.constexpr,
+    BLOCK_SIZE_H: tl.constexpr, BLOCK_SIZE_CHUNK: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=0)
+    pid_c = tl.program_id(axis=1)
+    pid_h = tl.program_id(axis=2)
+    dt_ptr += pid_b * stride_dt_batch + pid_c * chunk_size * stride_dt_seqlen
+    dt_out_ptr += pid_b * stride_dt_out_batch + pid_c * stride_dt_out_chunk
+    dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk
+
+    offs_h = pid_h * BLOCK_SIZE_H + tl.arange(0, BLOCK_SIZE_H)
+    offs_c = tl.arange(0, BLOCK_SIZE_CHUNK)
+    dt_ptrs = dt_ptr + (offs_h[:, None] * stride_dt_head + offs_c[None, :] * stride_dt_seqlen)
+    A_ptrs = A_ptr + offs_h * stride_A_head
+    dt_out_ptrs = dt_out_ptr + (offs_h[:, None] * stride_dt_out_head + offs_c[None, :] * stride_dt_out_csize)
+    dA_cs_ptrs = dA_cumsum_ptr + (offs_h[:, None] * stride_dA_cs_head + offs_c[None, :] * stride_dA_cs_csize)
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+
+    dt = tl.load(dt_ptrs, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), other=0.0).to(tl.float32)
+    if HAS_DT_BIAS:
+        dt_bias = tl.load(dt_bias_ptr + offs_h * stride_dt_bias_head, mask=offs_h < nheads, other=0.0).to(tl.float32)
+        dt += dt_bias[:, None]
+    if DT_SOFTPLUS:
+        dt = softplus(dt)
+    # As of Triton 2.2.0, tl.clamp is not available yet
+    # dt = tl.clamp(dt, dt_min, dt_max)
+    dt = tl.minimum(tl.maximum(dt, dt_min), dt_max)
+    dt = tl.where((offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), dt, 0.0)
+    tl.store(dt_out_ptrs, dt, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size))
+    A = tl.load(A_ptrs, mask=offs_h < nheads, other=0.0).to(tl.float32)
+    dA = dt * A[:, None]
+    dA_cs = tl.cumsum(dA, axis=1)
+    tl.store(dA_cs_ptrs, dA_cs, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size))
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_H': 1}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+        triton.Config({'BLOCK_SIZE_H': 2}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+        triton.Config({'BLOCK_SIZE_H': 4}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+        triton.Config({'BLOCK_SIZE_H': 8}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+        triton.Config({'BLOCK_SIZE_H': 16}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+        triton.Config({'BLOCK_SIZE_H': 32}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+        triton.Config({'BLOCK_SIZE_H': 64}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"])),
+    ],
+    key=['chunk_size', 'nheads'],
+)
+@triton.jit
+def _chunk_cumsum_bwd_kernel(
+    # Pointers to matrices
+    ddA_ptr, ddt_out_ptr, dt_ptr, A_ptr, dt_bias_ptr,
+    ddt_ptr, dA_ptr, ddt_bias_ptr,
+    # Matrix dimensions
+    batch, seqlen, nheads, chunk_size,
+    dt_min, dt_max,
+    # Strides
+    stride_ddA_batch, stride_ddA_chunk, stride_ddA_head, stride_ddA_csize,
+    stride_ddt_out_batch, stride_ddt_out_chunk, stride_ddt_out_head, stride_ddt_out_csize,
+    stride_dt_batch, stride_dt_seqlen, stride_dt_head,
+    stride_A_head,
+    stride_dt_bias_head,
+    stride_ddt_batch, stride_ddt_seqlen, stride_ddt_head,
+    stride_dA_head,
+    stride_ddt_bias_head,
+    # Meta-parameters
+    DT_SOFTPLUS: tl.constexpr,
+    HAS_DT_BIAS: tl.constexpr,
+    BLOCK_SIZE_H: tl.constexpr, BLOCK_SIZE_CHUNK: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=0)
+    pid_c = tl.program_id(axis=1)
+    pid_h = tl.program_id(axis=2)
+    ddt_out_ptr += pid_b * stride_ddt_out_batch + pid_c * stride_ddt_out_chunk
+    ddA_ptr += pid_b * stride_ddA_batch + pid_c * stride_ddA_chunk
+    dt_ptr += pid_b * stride_dt_batch + pid_c * chunk_size * stride_dt_seqlen
+    ddt_ptr += pid_b * stride_ddt_batch + pid_c * chunk_size * stride_ddt_seqlen
+
+    offs_h = pid_h * BLOCK_SIZE_H + tl.arange(0, BLOCK_SIZE_H)
+    offs_c = tl.arange(0, BLOCK_SIZE_CHUNK)
+    ddt_out_ptrs = ddt_out_ptr + (offs_h[:, None] * stride_ddt_out_head + offs_c[None, :] * stride_ddt_out_csize)
+    ddA_ptrs = ddA_ptr + (offs_h[:, None] * stride_ddA_head + offs_c[None, :] * stride_ddA_csize)
+    dt_ptrs = dt_ptr + (offs_h[:, None] * stride_dt_head + offs_c[None, :] * stride_dt_seqlen)
+    ddt_ptrs = ddt_ptr + (offs_h[:, None] * stride_ddt_head + offs_c[None, :] * stride_ddt_seqlen)
+    A_ptrs = A_ptr + offs_h * stride_A_head
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+
+    ddA = tl.load(ddA_ptrs, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), other=0.0).to(tl.float32)
+    ddt_out = tl.load(ddt_out_ptrs, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), other=0.0).to(tl.float32)
+    A = tl.load(A_ptrs, mask=offs_h < nheads, other=0.0).to(tl.float32)
+    ddt = ddA * A[:, None] + ddt_out
+    dt = tl.load(dt_ptrs, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), other=0.0).to(tl.float32)
+    if HAS_DT_BIAS:
+        dt_bias = tl.load(dt_bias_ptr + offs_h * stride_dt_bias_head, mask=offs_h < nheads, other=0.0).to(tl.float32)
+        dt += dt_bias[:, None]
+    if DT_SOFTPLUS:
+        dt_presoftplus = dt
+        dt = softplus(dt)
+    clamp_mask = (dt < dt_min) | (dt > dt_max)
+    # As of Triton 2.2.0, tl.clamp is not available yet
+    # dt = tl.clamp(dt, dt_min, dt_max)
+    dt = tl.minimum(tl.maximum(dt, dt_min), dt_max)
+    dt = tl.where((offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), dt, 0.0)
+    ddt = tl.where((offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), ddt, 0.0)
+    ddt = tl.where(clamp_mask, 0.0, ddt)
+    if DT_SOFTPLUS:
+        ddt = tl.where(dt_presoftplus <= 20.0, ddt * tl.sigmoid(dt_presoftplus), ddt)
+    tl.store(ddt_ptrs, ddt, mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit))
+    dA = tl.sum(ddA * dt, axis=1)
+    tl.atomic_add(dA_ptr + offs_h * stride_dA_head, dA, mask=offs_h < nheads)
+    if HAS_DT_BIAS:
+        ddt_bias = tl.sum(ddt, axis=1)
+        tl.atomic_add(ddt_bias_ptr + offs_h * stride_ddt_bias_head, ddt_bias, mask=offs_h < nheads)
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=2),
+    ],
+    key=['hdim', 'dstate', 'chunk_size'],
+)
+@triton.jit
+def _chunk_state_fwd_kernel(
+    # Pointers to matrices
+    x_ptr, b_ptr, states_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr,
+    # Matrix dimensions
+    hdim, dstate, chunk_size,
+    batch, seqlen, nheads_ngroups_ratio,
+    # Strides
+    stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim,
+    stride_b_batch, stride_b_seqlen, stride_b_head, stride_b_dstate,
+    stride_states_batch, stride_states_chunk, stride_states_head, stride_states_hdim, stride_states_dstate,
+    stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    # Meta-parameters
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+):
+    pid_bc = tl.program_id(axis=1)
+    pid_c = pid_bc // batch
+    pid_b = pid_bc - pid_c * batch
+    pid_h = tl.program_id(axis=2)
+    num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + (pid_h // nheads_ngroups_ratio) * stride_b_head
+    x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head
+    dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head
+    dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    offs_k = tl.arange(0, BLOCK_SIZE_K)
+    x_ptrs = x_ptr + (offs_m[:, None] * stride_x_hdim + offs_k[None, :] * stride_x_seqlen)
+    b_ptrs = b_ptr + (offs_n[None, :] * stride_b_dstate + offs_k[:, None] * stride_b_seqlen)
+    dt_ptrs = dt_ptr + offs_k * stride_dt_csize
+    dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to(tl.float32)
+    dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize
+    if HAS_SEQ_IDX:
+        seq_idx_ptrs = seq_idx_ptr + offs_k * stride_seq_idx_seqlen
+
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+    if HAS_SEQ_IDX:
+        seq_idx_last = tl.load(seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen)
+
+    acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+    for k in range(0, chunk_size_limit, BLOCK_SIZE_K):
+        x = tl.load(x_ptrs, mask=(offs_m[:, None] < hdim) & (offs_k[None, :] < chunk_size_limit - k), other=0.0)
+        b = tl.load(b_ptrs, mask=(offs_k[:, None] < chunk_size_limit - k) & (offs_n[None, :] < dstate), other=0.0).to(tl.float32)
+        dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0).to(tl.float32)
+        if HAS_SEQ_IDX:
+            seq_idx_k = tl.load(seq_idx_ptrs, mask=offs_k < chunk_size_limit - k, other=-1)
+        dt_k = tl.load(dt_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0).to(tl.float32)
+        if not HAS_SEQ_IDX:
+            scale = tl.exp((dA_cs_last - dA_cs_k)) * dt_k
+        else:
+            scale = tl.where(seq_idx_k == seq_idx_last, tl.exp((dA_cs_last - dA_cs_k)) * dt_k, 0.0)
+        b *= scale[:, None]
+        b = b.to(x_ptr.dtype.element_ty)
+        acc += tl.dot(x, b)
+        x_ptrs += BLOCK_SIZE_K * stride_x_seqlen
+        b_ptrs += BLOCK_SIZE_K * stride_b_seqlen
+        dt_ptrs += BLOCK_SIZE_K * stride_dt_csize
+        dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize
+        if HAS_SEQ_IDX:
+            seq_idx_ptrs += BLOCK_SIZE_K * stride_seq_idx_seqlen
+    states = acc.to(states_ptr.dtype.element_ty)
+
+    states_ptr += pid_b * stride_states_batch + pid_c * stride_states_chunk + pid_h * stride_states_head
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    states_ptrs = states_ptr + (offs_m[:, None] * stride_states_hdim + offs_n[None, :] * stride_states_dstate)
+    c_mask = (offs_m[:, None] < hdim) & (offs_n[None, :] < dstate)
+    tl.store(states_ptrs, states, mask=c_mask)
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"])),
+    ],
+    key=['chunk_size', 'hdim', 'dstate'],
+)
+@triton.jit
+def _chunk_state_bwd_dx_kernel(
+    # Pointers to matrices
+    x_ptr, b_ptr, dstates_ptr, dt_ptr, dA_cumsum_ptr,
+    dx_ptr, ddt_ptr, ddA_cumsum_ptr,
+    # Matrix dimensions
+    chunk_size, hdim, dstate,
+    batch, seqlen, nheads_ngroups_ratio,
+    # Strides
+    stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim,
+    stride_b_batch, stride_b_seqlen, stride_b_head, stride_b_dstate,
+    stride_dstates_batch, stride_dstates_chunk, stride_states_head, stride_states_hdim, stride_states_dstate,
+    stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    stride_dx_batch, stride_dx_seqlen, stride_dx_head, stride_dx_hdim,
+    stride_ddt_batch, stride_ddt_chunk, stride_ddt_head, stride_ddt_csize,
+    stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize,
+    # Meta-parameters
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+    BLOCK_SIZE_DSTATE: tl.constexpr,
+):
+    pid_bc = tl.program_id(axis=1)
+    pid_c = pid_bc // batch
+    pid_b = pid_bc - pid_c * batch
+    pid_h = tl.program_id(axis=2)
+    num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head
+    b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + (pid_h // nheads_ngroups_ratio) * stride_b_head
+    dstates_ptr += pid_b * stride_dstates_batch + pid_c * stride_dstates_chunk + pid_h * stride_states_head
+    dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head
+    ddt_ptr += pid_b * stride_ddt_batch + pid_c * stride_ddt_chunk + pid_h * stride_ddt_head
+    ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + pid_h * stride_ddA_cs_head
+    dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+    # Faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128
+    offs_k = tl.arange(0, BLOCK_SIZE_DSTATE if BLOCK_SIZE_DSTATE <= 128 else BLOCK_SIZE_K)
+    b_ptrs = b_ptr + (offs_m[:, None] * stride_b_seqlen + offs_k[None, :] * stride_b_dstate)
+    dstates_ptrs = dstates_ptr + (offs_n[None, :] * stride_states_hdim + offs_k[:, None] * stride_states_dstate)
+    if BLOCK_SIZE_DSTATE <= 128:
+        b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < dstate), other=0.0)
+        dstates = tl.load(dstates_ptrs, mask=(offs_k[:, None] < dstate) & (offs_n[None, :] < hdim), other=0.0)
+        dstates = dstates.to(b_ptr.dtype.element_ty)
+        acc = tl.dot(b, dstates)
+    else:
+        acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+        for k in range(0, dstate, BLOCK_SIZE_K):
+            b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < dstate - k), other=0.0)
+            dstates = tl.load(dstates_ptrs, mask=(offs_k[:, None] < dstate - k) & (offs_n[None, :] < hdim), other=0.0)
+            dstates = dstates.to(b_ptr.dtype.element_ty)
+            acc += tl.dot(b, dstates)
+            b_ptrs += BLOCK_SIZE_K * stride_b_dstate
+            dstates_ptrs += BLOCK_SIZE_K * stride_states_dstate
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+
+    dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to(tl.float32)
+    dt_ptrs = dt_ptr + offs_m * stride_dt_csize
+    dA_cumsum_ptrs = dA_cumsum_ptr + offs_m * stride_dA_cs_csize
+    dA_cs_m = tl.load(dA_cumsum_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32)
+    dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32)
+    acc *= tl.exp(dA_cs_last - dA_cs_m)[:, None]
+
+    x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim)
+    x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32)
+    ddt = tl.sum(acc * x, axis=1)
+    ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize
+    tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size)
+    ddA_cs = -(ddt * dt_m)
+    ddA_cs_last = -tl.sum(ddA_cs)
+    ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize
+    tl.atomic_add(ddA_cumsum_ptrs, ddA_cs, mask=offs_m < chunk_size)
+    tl.atomic_add(ddA_cumsum_ptr + (chunk_size - 1) * stride_ddA_cs_csize, ddA_cs_last)
+
+    dx = (acc * dt_m[:, None]).to(dx_ptr.dtype.element_ty)
+    dx_ptr += pid_b * stride_dx_batch + pid_c * chunk_size * stride_dx_seqlen + pid_h * stride_dx_head
+    dx_ptrs = dx_ptr + (offs_m[:, None] * stride_dx_seqlen + offs_n[None, :] * stride_dx_hdim)
+    tl.store(dx_ptrs, dx, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim))
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+    ],
+    key=['chunk_size', 'dstate', 'hdim'],
+)
+@triton.jit
+def _chunk_state_bwd_db_kernel(
+    # Pointers to matrices
+    x_ptr, dstates_ptr, b_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr,
+    db_ptr, ddA_cumsum_ptr,
+    # Matrix dimensions
+    chunk_size, dstate, hdim,
+    batch, seqlen, nheads, nheads_per_program, ngroups,
+    # Strides
+    stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim,
+    stride_dstates_batch, stride_dstates_chunk, stride_states_head, stride_states_hdim, stride_states_dstate,
+    stride_b_batch, stride_b_seqlen, stride_b_head, stride_b_dstate,
+    stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    stride_db_batch, stride_db_seqlen, stride_db_split, stride_db_group, stride_db_dstate,
+    stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize,
+    # Meta-parameters
+    HAS_DDA_CS: tl.constexpr,
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+):
+    pid_bc = tl.program_id(axis=1)
+    pid_c = pid_bc // batch
+    pid_b = pid_bc - pid_c * batch
+    pid_sg = tl.program_id(axis=2)
+    pid_s = pid_sg // ngroups
+    pid_g = pid_sg - pid_s * ngroups
+    num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_x_head
+    db_ptr += pid_b * stride_db_batch + pid_c * chunk_size * stride_db_seqlen + pid_g * stride_db_group + pid_s * stride_db_split
+    dstates_ptr += pid_b * stride_dstates_batch + pid_c * stride_dstates_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_states_head
+    dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dt_head
+    dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dA_cs_head
+    if HAS_DDA_CS:
+        b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + pid_g * stride_b_head
+        ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_ddA_cs_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    offs_k = tl.arange(0, BLOCK_SIZE_K)
+    x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_k[None, :] * stride_x_hdim)
+    dstates_ptrs = dstates_ptr + (offs_n[None, :] * stride_states_dstate + offs_k[:, None] * stride_states_hdim)
+    dt_ptrs = dt_ptr + offs_m * stride_dt_csize
+    dA_cumsum_ptrs = dA_cumsum_ptr + offs_m * stride_dA_cs_csize
+    if HAS_DDA_CS:
+        b_ptrs = b_ptr + (offs_m[:, None] * stride_b_seqlen + offs_n[None, :] * stride_b_dstate)
+        ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize
+
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+    acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+    if HAS_DDA_CS:
+        b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate), other=0.0).to(tl.float32)
+    if HAS_SEQ_IDX:
+        seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1)
+        seq_idx_last = tl.load(seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen)
+    nheads_iter = min(nheads_per_program, nheads // ngroups - pid_s * nheads_per_program)
+    for h in range(nheads_iter):
+        x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0)
+        dstates = tl.load(dstates_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < dstate), other=0.0)
+        dstates = dstates.to(x_ptrs.dtype.element_ty)
+        db = tl.dot(x, dstates)
+        dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to(tl.float32)
+        dA_cs_m = tl.load(dA_cumsum_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32)
+        dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32)
+        if not HAS_SEQ_IDX:
+            scale = tl.exp(dA_cs_last - dA_cs_m)
+        else:
+            scale = tl.where(seq_idx_m == seq_idx_last, tl.exp(dA_cs_last - dA_cs_m), 0.0)
+        db *= (scale * dt_m)[:, None]
+        if HAS_DDA_CS:
+            # This is the gradient wrt (dA_cs_last - dA_cs_m), i.e. the exclusive reverse cumsum
+            ddA_cs = tl.sum(db * b, axis=1)
+            tl.atomic_add(ddA_cumsum_ptrs + stride_ddA_cs_csize, ddA_cs, mask=offs_m < chunk_size - 1)
+        acc += db
+        x_ptrs += stride_x_head
+        dstates_ptrs += stride_states_head
+        dt_ptrs += stride_dt_head
+        dA_cumsum_ptr += stride_dA_cs_head
+        dA_cumsum_ptrs += stride_dA_cs_head
+        if HAS_DDA_CS:
+            ddA_cumsum_ptrs += stride_ddA_cs_head
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    # if HAS_SEQ_IDX:
+    #     seq_idx_last = tl.load(seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen)
+    #     seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1)
+    #     acc = tl.where(seq_idx_m[:, None] == seq_idx_last, acc, 0.0)
+    db_ptrs = db_ptr + (offs_m[:, None] * stride_db_seqlen + offs_n[None, :] * stride_db_dstate)
+    tl.store(db_ptrs, acc, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate))
+
+
+@triton.autotune(
+    configs=[
+        # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 16, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 16, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+        triton.Config({'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8, pre_hook=init_to_zero(["ddA_cumsum_ptr"])),
+    ],
+    key=['chunk_size', 'hdim', 'dstate'],
+)
+@triton.jit
+def _chunk_state_bwd_ddAcs_stable_kernel(
+    # Pointers to matrices
+    x_ptr, b_ptr, dstates_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr,
+    ddA_cumsum_ptr,
+    # Matrix dimensions
+    chunk_size, hdim, dstate,
+    batch, seqlen, nheads_ngroups_ratio,
+    # Strides
+    stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim,
+    stride_b_batch, stride_b_seqlen, stride_b_head, stride_b_dstate,
+    stride_dstates_batch, stride_dstates_chunk, stride_states_head, stride_states_hdim, stride_states_dstate,
+    stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize,
+    # Meta-parameters
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+    BLOCK_SIZE_DSTATE: tl.constexpr,
+):
+    pid_bc = tl.program_id(axis=1)
+    pid_c = pid_bc // batch
+    pid_b = pid_bc - pid_c * batch
+    pid_h = tl.program_id(axis=2)
+    num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head
+    b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + (pid_h // nheads_ngroups_ratio) * stride_b_head
+    dstates_ptr += pid_b * stride_dstates_batch + pid_c * stride_dstates_chunk + pid_h * stride_states_head
+    dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head
+    ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + pid_h * stride_ddA_cs_head
+    dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+    # Faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128
+    offs_k = tl.arange(0, BLOCK_SIZE_DSTATE if BLOCK_SIZE_DSTATE <= 128 else BLOCK_SIZE_K)
+    b_ptrs = b_ptr + (offs_m[:, None] * stride_b_seqlen + offs_k[None, :] * stride_b_dstate)
+    dstates_ptrs = dstates_ptr + (offs_n[None, :] * stride_states_hdim + offs_k[:, None] * stride_states_dstate)
+    if BLOCK_SIZE_DSTATE <= 128:
+        b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < dstate), other=0.0)
+        dstates = tl.load(dstates_ptrs, mask=(offs_k[:, None] < dstate) & (offs_n[None, :] < hdim), other=0.0)
+        dstates = dstates.to(b_ptr.dtype.element_ty)
+        acc = tl.dot(b, dstates)
+    else:
+        acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+        for k in range(0, dstate, BLOCK_SIZE_K):
+            b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < dstate - k), other=0.0)
+            dstates = tl.load(dstates_ptrs, mask=(offs_k[:, None] < dstate - k) & (offs_n[None, :] < hdim), other=0.0)
+            dstates = dstates.to(b_ptr.dtype.element_ty)
+            acc += tl.dot(b, dstates)
+            b_ptrs += BLOCK_SIZE_K * stride_b_dstate
+            dstates_ptrs += BLOCK_SIZE_K * stride_states_dstate
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+
+    dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32)
+    dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to(tl.float32)
+    if not HAS_SEQ_IDX:
+        scale = tl.exp(dA_cs_last - dA_cs_m)
+    else:
+        seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1)
+        seq_idx_last = tl.load(seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen)
+        scale = tl.where(seq_idx_m == seq_idx_last, tl.exp(dA_cs_last - dA_cs_m), 0.0)
+    acc *= scale[:, None]
+
+    x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim)
+    x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32)
+    dt_ptrs = dt_ptr + offs_m * stride_dt_csize
+    dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32)
+    ddt = tl.sum(acc * x, axis=1)
+    # ddA_cs = -(ddt * dt_m)
+    # Triton 2.2.0 errors if we have the cumsum here, so we just write it out
+    # then call torch.cumsum outside this kernel.
+    # ddA_cs = tl.cumsum(ddt * dt_m)
+    ddA_cs = ddt * dt_m
+    ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize
+    # tl.atomic_add(ddA_cumsum_ptrs, ddA_cs, mask=offs_m < chunk_size)
+    tl.atomic_add(ddA_cumsum_ptrs + stride_ddA_cs_csize, ddA_cs, mask=offs_m < chunk_size - 1)
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=2),
+    ],
+    key=['hdim', 'dstate', 'chunk_size'],
+)
+@triton.jit
+def _chunk_state_varlen_kernel(
+    # Pointers to matrices
+    x_ptr, b_ptr, dt_ptr, dA_cumsum_ptr, chunk_states_ptr, cu_seqlens_ptr, states_ptr,
+    # Matrix dimensions
+    hdim, dstate, chunk_size,
+    seqlen, nheads_ngroups_ratio,
+    # Strides
+    stride_x_seqlen, stride_x_head, stride_x_hdim,
+    stride_b_seqlen, stride_b_head, stride_b_dstate,
+    stride_dt_chunk, stride_dt_head, stride_dt_csize,
+    stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    stride_chunk_states_chunk, stride_chunk_states_head, stride_chunk_states_hdim, stride_chunk_states_dstate,
+    stride_states_batch, stride_states_head, stride_states_hdim, stride_states_dstate,
+    # Meta-parameters
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=1)
+    pid_h = tl.program_id(axis=2)
+    num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    end_idx = tl.load(cu_seqlens_ptr + pid_b + 1)
+    pid_c = (end_idx - 1) // chunk_size
+    b_ptr += pid_c * chunk_size * stride_b_seqlen + (pid_h // nheads_ngroups_ratio) * stride_b_head
+    x_ptr += pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head
+    dt_ptr += pid_c * stride_dt_chunk + pid_h * stride_dt_head
+    dA_cumsum_ptr += pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head
+    chunk_states_ptr += pid_c * stride_chunk_states_chunk + pid_h * stride_chunk_states_head
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    offs_k = tl.arange(0, BLOCK_SIZE_K)
+    x_ptrs = x_ptr + (offs_m[:, None] * stride_x_hdim + offs_k[None, :] * stride_x_seqlen)
+    b_ptrs = b_ptr + (offs_n[None, :] * stride_b_dstate + offs_k[:, None] * stride_b_seqlen)
+    dt_ptrs = dt_ptr + offs_k * stride_dt_csize
+    dA_cs_last = tl.load(dA_cumsum_ptr + (end_idx - pid_c * chunk_size - 1) * stride_dA_cs_csize).to(tl.float32)
+    dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize
+
+    chunk_size_limit = end_idx - pid_c * chunk_size
+    start_idx = tl.load(cu_seqlens_ptr + pid_b)
+    start_idx_cur = tl.maximum(start_idx - pid_c * chunk_size, 0)
+
+    acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+    for k in range(0, chunk_size_limit, BLOCK_SIZE_K):
+        x = tl.load(x_ptrs, mask=(offs_m[:, None] < hdim) & (offs_k[None, :] < chunk_size_limit - k) & (offs_k[None, :] >= start_idx_cur - k), other=0.0)
+        b = tl.load(b_ptrs, mask=(offs_k[:, None] < chunk_size_limit - k) & (offs_n[None, :] < dstate) & (offs_k[:, None] >= start_idx_cur - k), other=0.0).to(tl.float32)
+        dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0).to(tl.float32)
+        dt_k = tl.load(dt_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0).to(tl.float32)
+        scale = tl.where((offs_k >= start_idx_cur - k) & (offs_k < chunk_size_limit - k),
+                         tl.exp((dA_cs_last - dA_cs_k)) * dt_k, 0.0)
+        b *= scale[:, None]
+        b = b.to(x_ptr.dtype.element_ty)
+        acc += tl.dot(x, b)
+        x_ptrs += BLOCK_SIZE_K * stride_x_seqlen
+        b_ptrs += BLOCK_SIZE_K * stride_b_seqlen
+        dt_ptrs += BLOCK_SIZE_K * stride_dt_csize
+        dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize
+
+    # If the sequence starts after the last chunk idx, we don't need to add the contribution from the last chunk
+    if start_idx < pid_c * chunk_size:
+        chunk_states_ptrs = chunk_states_ptr + (offs_m[:, None] * stride_chunk_states_hdim + offs_n[None, :] * stride_chunk_states_dstate)
+        chunk_states = tl.load(chunk_states_ptrs, mask=(offs_m[:, None] < hdim) & (offs_n[None, :] < dstate), other=0.0).to(tl.float32)
+        # scale = tl.where(start_idx < pid_c * chunk_size, tl.exp(dA_cs_last), 0.0)
+        scale = tl.exp(dA_cs_last)
+        acc += chunk_states * scale
+
+    states = acc.to(states_ptr.dtype.element_ty)
+
+    states_ptr += pid_b * stride_states_batch + pid_h * stride_states_head
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    states_ptrs = states_ptr + (offs_m[:, None] * stride_states_hdim + offs_n[None, :] * stride_states_dstate)
+    c_mask = (offs_m[:, None] < hdim) & (offs_n[None, :] < dstate)
+    tl.store(states_ptrs, states, mask=c_mask)
+
+
+def _chunk_cumsum_fwd(dt, A, chunk_size, dt_bias=None, dt_softplus=False, dt_limit=(0.0, float("inf"))):
+    batch, seqlen, nheads = dt.shape
+    assert A.shape == (nheads,)
+    if dt_bias is not None:
+        assert dt_bias.shape == (nheads,)
+    nchunks = math.ceil(seqlen / chunk_size)
+    dt_out = torch.empty(batch, nheads, nchunks, chunk_size, device=dt.device, dtype=torch.float32)
+    dA_cumsum = torch.empty(batch, nheads, nchunks, chunk_size, device=dt.device, dtype=torch.float32)
+    grid_chunk_cs = lambda META: (batch, nchunks, triton.cdiv(nheads, META['BLOCK_SIZE_H']))
+    with torch.cuda.device(dt.device.index):
+        _chunk_cumsum_fwd_kernel[grid_chunk_cs](
+            dt, A, dt_bias, dt_out, dA_cumsum,
+            batch, seqlen, nheads, chunk_size,
+            dt_limit[0], dt_limit[1],
+            dt.stride(0), dt.stride(1), dt.stride(2),
+            A.stride(0),
+            dt_bias.stride(0) if dt_bias is not None else 0,
+            dt_out.stride(0), dt_out.stride(2), dt_out.stride(1), dt_out.stride(3),
+            dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3),
+            dt_softplus,
+            HAS_DT_BIAS=dt_bias is not None,
+            BLOCK_SIZE_CHUNK=triton.next_power_of_2(chunk_size),
+        )
+    return dA_cumsum, dt_out
+
+
+def _chunk_cumsum_bwd(ddA, ddt_out, dt, A, dt_bias=None, dt_softplus=False, dt_limit=(0.0, float("inf")), ddt=None):
+    batch, seqlen, nheads = dt.shape
+    _, _, nchunks, chunk_size = ddA.shape
+    assert ddA.shape == (batch, nheads, nchunks, chunk_size)
+    assert ddt_out.shape == (batch, nheads, nchunks, chunk_size)
+    assert A.shape == (nheads,)
+    if dt_bias is not None:
+        assert dt_bias.shape == (nheads,)
+        ddt_bias = torch.empty_like(dt_bias, dtype=torch.float32)
+    else:
+        ddt_bias = None
+    if ddt is not None:
+        assert ddt.shape == dt.shape
+    else:
+        ddt = torch.empty_like(dt)
+    dA = torch.empty_like(A, dtype=torch.float32)
+    grid_chunk_cs = lambda META: (batch, nchunks, triton.cdiv(nheads, META['BLOCK_SIZE_H']))
+    with torch.cuda.device(dt.device.index):
+        _chunk_cumsum_bwd_kernel[grid_chunk_cs](
+            ddA, ddt_out, dt, A, dt_bias, ddt, dA, ddt_bias,
+            batch, seqlen, nheads, chunk_size,
+            dt_limit[0], dt_limit[1],
+            ddA.stride(0), ddA.stride(2), ddA.stride(1), ddA.stride(3),
+            ddt_out.stride(0), ddt_out.stride(2), ddt_out.stride(1), ddt_out.stride(3),
+            dt.stride(0), dt.stride(1), dt.stride(2),
+            A.stride(0),
+            dt_bias.stride(0) if dt_bias is not None else 0,
+            ddt.stride(0), ddt.stride(1), ddt.stride(2),
+            dA.stride(0),
+            ddt_bias.stride(0) if ddt_bias is not None else 0,
+            dt_softplus,
+            HAS_DT_BIAS=dt_bias is not None,
+            BLOCK_SIZE_CHUNK=triton.next_power_of_2(chunk_size),
+        )
+    return ddt, dA, ddt_bias
+
+
+def _chunk_state_fwd(B, x, dt, dA_cumsum, seq_idx=None, states=None, states_in_fp32=True):
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, nchunks, chunk_size = dt.shape
+    _, _, ngroups, dstate = B.shape
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    assert dt.shape == (batch, nheads, nchunks, chunk_size)
+    assert dA_cumsum.shape == dt.shape
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    if states is not None:
+        assert states.shape == (batch, nchunks, nheads, headdim, dstate)
+    else:
+        states_dtype = torch.float32 if states_in_fp32 else B.dtype
+        states = torch.empty((batch, nchunks, nheads, headdim, dstate), device=x.device, dtype=states_dtype)
+    grid = lambda META: (triton.cdiv(headdim, META['BLOCK_SIZE_M']) * triton.cdiv(dstate, META['BLOCK_SIZE_N']),
+                    batch * nchunks, nheads)
+    with torch.cuda.device(x.device.index):
+        _chunk_state_fwd_kernel[grid](
+            x, B, states, dt, dA_cumsum, seq_idx,
+            headdim, dstate, chunk_size,
+            batch, seqlen, nheads // ngroups,
+            x.stride(0), x.stride(1), x.stride(2), x.stride(3),
+            B.stride(0), B.stride(1), B.stride(2), B.stride(-1),
+            states.stride(0), states.stride(1), states.stride(2), states.stride(3), states.stride(4),
+            dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3),
+            dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            HAS_SEQ_IDX=seq_idx is not None,
+        )
+    return states
+
+
+def _chunk_state_bwd_dx(B, x, dt, dA_cumsum, dstates, dx=None):
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, nchunks, chunk_size = dt.shape
+    _, _, ngroups, dstate = B.shape
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    assert dt.shape == (batch, nheads, nchunks, chunk_size)
+    assert dA_cumsum.shape == dt.shape
+    assert dstates.shape == (batch, nchunks, nheads, headdim, dstate)
+    if dx is not None:
+        assert dx.shape == x.shape
+    else:
+        dx = torch.empty_like(x)
+    ddt = torch.empty(batch, nheads, nchunks, chunk_size, device=dt.device, dtype=torch.float32)
+    ddA_cumsum = torch.empty(batch, nheads, nchunks, chunk_size, device=dA_cumsum.device, dtype=torch.float32)
+    grid_dx = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(headdim, META['BLOCK_SIZE_N']),
+                       batch * nchunks, nheads)
+    with torch.cuda.device(x.device.index):
+        _chunk_state_bwd_dx_kernel[grid_dx](
+            x, B, dstates, dt, dA_cumsum, dx, ddt, ddA_cumsum,
+            chunk_size, headdim, dstate,
+            batch, seqlen, nheads // ngroups,
+            x.stride(0), x.stride(1), x.stride(2), x.stride(3),
+            B.stride(0), B.stride(1), B.stride(2), B.stride(-1),
+            dstates.stride(0), dstates.stride(1), dstates.stride(2), dstates.stride(3), dstates.stride(4),
+            dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3),
+            dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3),
+            dx.stride(0), dx.stride(1), dx.stride(2), dx.stride(3),
+            ddt.stride(0), ddt.stride(2), ddt.stride(1), ddt.stride(3),
+            ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3),
+            BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16),
+        )
+    return dx, ddt.to(dt.dtype), ddA_cumsum.to(dA_cumsum.dtype)
+
+
+def _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, seq_idx=None, B=None, ngroups=1):
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, nchunks, chunk_size = dt.shape
+    dstate = dstates.shape[-1]
+    assert dt.shape == (batch, nheads, nchunks, chunk_size)
+    assert dA_cumsum.shape == dt.shape
+    assert dstates.shape == (batch, nchunks, nheads, headdim, dstate)
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    if B is not None:
+        assert B.shape == (batch, seqlen, ngroups, dstate)
+        B_strides = (B.stride(0), B.stride(1), B.stride(2), B.stride(3))
+        # Use torch.empty since the Triton kernel will call init_to_zero
+        ddA_cumsum = torch.empty(batch, nheads, nchunks, chunk_size, device=x.device, dtype=torch.float32)
+        ddA_cumsum_strides = (ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3))
+    else:
+        B_strides = (0, 0, 0, 0)
+        ddA_cumsum = None
+        ddA_cumsum_strides = (0, 0, 0, 0)
+    nheads_ngroups_ratio = nheads // ngroups
+    sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count
+    nheads_per_program = max(min(math.ceil(batch * nchunks * nheads / sm_count), nheads_ngroups_ratio), 1)
+    nsplits = triton.cdiv(nheads_ngroups_ratio, nheads_per_program)
+    dB = torch.empty(batch, seqlen, nsplits, ngroups, dstate, device=x.device, dtype=torch.float32)
+    grid_db = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(dstate, META['BLOCK_SIZE_N']),
+                        batch * nchunks, nsplits * ngroups)
+    with torch.cuda.device(x.device.index):
+        _chunk_state_bwd_db_kernel[grid_db](
+            x, dstates, B, dt, dA_cumsum, seq_idx, dB, ddA_cumsum,
+            chunk_size, dstate, headdim,
+            batch, seqlen, nheads, nheads_per_program, ngroups,
+            x.stride(0), x.stride(1), x.stride(2), x.stride(3),
+            dstates.stride(0), dstates.stride(1), dstates.stride(2), dstates.stride(3), dstates.stride(4),
+            *B_strides,
+            dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3),
+            dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            dB.stride(0), dB.stride(1), dB.stride(2), dB.stride(3), dB.stride(4),
+            *ddA_cumsum_strides,
+            HAS_DDA_CS=ddA_cumsum is not None,
+            HAS_SEQ_IDX=seq_idx is not None,
+            BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16),
+        )
+    dB = dB.sum(2)
+    if ddA_cumsum is not None:
+        # The first element of ddA_cumsum is always zero, since that dA_cumsum does not contribute
+        # to the state of the chunk.
+        # torch.cumsum(ddA_cumsum[..., 1:], dim=-1, out=ddA_cumsum[..., 1:])
+        # But it's easier to just do the cumsum for all elements, the result will be the same.
+        torch.cumsum(ddA_cumsum, dim=-1, out=ddA_cumsum)
+    return dB if B is None else (dB, ddA_cumsum)
+
+
+def _chunk_state_bwd_ddAcs_stable(B, x, dt, dA_cumsum, dstates, seq_idx=None):
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, nchunks, chunk_size = dt.shape
+    _, _, ngroups, dstate = B.shape
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    assert dt.shape == (batch, nheads, nchunks, chunk_size)
+    assert dA_cumsum.shape == dt.shape
+    assert dstates.shape == (batch, nchunks, nheads, headdim, dstate)
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    # Use torch.empty since the Triton kernel will call init_to_zero
+    ddA_cumsum = torch.empty(batch, nheads, nchunks, chunk_size, device=x.device, dtype=torch.float32)
+    grid_ddtcs = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(headdim, META['BLOCK_SIZE_N']),
+                          batch * nchunks, nheads)
+    with torch.cuda.device(x.device.index):
+        _chunk_state_bwd_ddAcs_stable_kernel[grid_ddtcs](
+            x, B, dstates, dt, dA_cumsum, seq_idx, ddA_cumsum,
+            chunk_size, headdim, dstate,
+            batch, seqlen, nheads // ngroups,
+            x.stride(0), x.stride(1), x.stride(2), x.stride(3),
+            B.stride(0), B.stride(1), B.stride(2), B.stride(-1),
+            dstates.stride(0), dstates.stride(1), dstates.stride(2), dstates.stride(3), dstates.stride(4),
+            dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3),
+            dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3),
+            HAS_SEQ_IDX=seq_idx is not None,
+            BLOCK_SIZE_M=max(triton.next_power_of_2(chunk_size), 16),
+            BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16),
+        )
+    torch.cumsum(ddA_cumsum[..., 1:], dim=-1, out=ddA_cumsum[..., 1:])
+    return ddA_cumsum
+
+
+def chunk_state_varlen(B, x, dt, dA_cumsum, cu_seqlens, chunk_states):
+    total_seqlen, nheads, headdim = x.shape
+    _, nchunks, chunk_size = dt.shape
+    _, ngroups, dstate = B.shape
+    batch = cu_seqlens.shape[0] - 1
+    cu_seqlens = cu_seqlens.contiguous()
+    assert nheads % ngroups == 0
+    assert B.shape == (total_seqlen, ngroups, dstate)
+    assert dt.shape == (nheads, nchunks, chunk_size)
+    assert dA_cumsum.shape == dt.shape
+    assert chunk_states.shape == (nchunks, nheads, headdim, dstate)
+    states = torch.empty(batch, nheads, headdim, dstate, dtype=chunk_states.dtype, device=chunk_states.device)
+    grid = lambda META: (triton.cdiv(headdim, META['BLOCK_SIZE_M']) * triton.cdiv(dstate, META['BLOCK_SIZE_N']),
+                    batch, nheads)
+    with torch.cuda.device(x.device.index):
+        _chunk_state_varlen_kernel[grid](
+            x, B, dt, dA_cumsum, chunk_states, cu_seqlens, states,
+            headdim, dstate, chunk_size,
+            total_seqlen, nheads // ngroups,
+            x.stride(0), x.stride(1), x.stride(2),
+            B.stride(0), B.stride(1), B.stride(2),
+            dt.stride(1), dt.stride(0), dt.stride(2),
+            dA_cumsum.stride(1), dA_cumsum.stride(0), dA_cumsum.stride(2),
+            chunk_states.stride(0), chunk_states.stride(1), chunk_states.stride(2), chunk_states.stride(3),
+            states.stride(0), states.stride(1), states.stride(2), states.stride(3),
+        )
+    return states
+
+
+class ChunkStateFn(torch.autograd.Function):
+
+    @staticmethod
+    def forward(ctx, B, x, dt, dA_cumsum, states_in_fp32=True):
+        batch, seqlen, nheads, headdim = x.shape
+        _, _, nchunks, chunk_size = dt.shape
+        assert seqlen <= nchunks * chunk_size
+        _, _, ngroups, dstate = B.shape
+        assert B.shape == (batch, seqlen, ngroups, dstate)
+        assert dt.shape == (batch, nheads, nchunks, chunk_size)
+        assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size)
+        if B.stride(-1) != 1:
+            B = B.contiguous()
+        if x.stride(-1) != 1 and x.stride(1) != 1:  # Either M or K dimension should be contiguous
+            x = x.contiguous()
+        states = _chunk_state_fwd(B, x, dt, dA_cumsum, states_in_fp32=states_in_fp32)
+        ctx.save_for_backward(B, x, dt, dA_cumsum)
+        return states
+
+    @staticmethod
+    def backward(ctx, dstates):
+        B, x, dt, dA_cumsum = ctx.saved_tensors
+        batch, seqlen, nheads, headdim = x.shape
+        _, _, nchunks, chunk_size = dt.shape
+        _, _, ngroups, dstate = B.shape
+        assert dstates.shape == (batch, nchunks, nheads, headdim, dstate)
+        if dstates.stride(-1) != 1:
+            dstates = dstates.contiguous()
+        dx, ddt, ddA_cumsum = _chunk_state_bwd_dx(B, x, dt, dA_cumsum, dstates)
+        dB = _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, ngroups=ngroups)
+        dB = dB.to(B.dtype)
+        return dB, dx, ddt, ddA_cumsum, None
+
+
+def chunk_state(B, x, dt, dA_cumsum, states_in_fp32=True):
+    """
+    Argument:
+        B: (batch, seqlen, ngroups, headdim)
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, nheads, nchunks, chunk_size)
+        dA_cumsum: (batch, nheads, nchunks, chunk_size)
+    Return:
+        states: (batch, nchunks, nheads, headdim, dstate)
+    """
+    return ChunkStateFn.apply(B, x, dt, dA_cumsum, states_in_fp32)
+
+
+def chunk_state_ref(B, x, dt, dA_cumsum):
+    """
+    Argument:
+        B: (batch, seqlen, ngroups, headdim)
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, nheads, nchunks, chunk_size)
+        dA_cumsum: (batch, nheads, nchunks, chunk_size)
+    Return:
+        states: (batch, nchunks, nheads, headdim, dstate)
+    """
+    # Check constraints.
+    batch, seqlen, nheads, headdim = x.shape
+    dstate = B.shape[-1]
+    _, _, nchunks, chunk_size = dt.shape
+    assert seqlen <= nchunks * chunk_size
+    assert x.shape == (batch, seqlen, nheads, headdim)
+    assert dt.shape == (batch, nheads, nchunks, chunk_size)
+    ngroups = B.shape[2]
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    B = repeat(B, "b l g d -> b l (g h) d", h=nheads // ngroups)
+    assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size)
+    if seqlen < nchunks * chunk_size:
+        x = F.pad(x, (0, 0, 0, 0, 0, nchunks * chunk_size - seqlen))
+        B = F.pad(B, (0, 0, 0, 0, 0, nchunks * chunk_size - seqlen))
+    x = rearrange(x, "b (c l) h p -> b c l h p", l=chunk_size)
+    B = rearrange(B, "b (c l) ... -> b c l ...", l=chunk_size)
+    decay_states = torch.exp((dA_cumsum[:, :, :, -1:] - dA_cumsum))
+    return torch.einsum("bclhn,bhcl,bhcl,bclhp->bchpn", B.to(x.dtype), decay_states.to(x.dtype), dt.to(x.dtype), x)

mamba/build/lib/mamba_ssm/ops/triton/ssd_combined.py

@@ -0,0 +1,981 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+"""We want triton==2.1.0 or 2.2.0 for this
+"""
+
+from typing import Optional
+
+import math
+from packaging import version
+
+import torch
+import torch.nn.functional as F
+from torch import Tensor
+from torch.cuda.amp import custom_bwd, custom_fwd
+
+import triton
+import triton.language as tl
+
+from einops import rearrange, repeat
+
+try:
+    from causal_conv1d import causal_conv1d_fn
+    import causal_conv1d_cuda
+except ImportError:
+    causal_conv1d_fn, causal_conv1d_cuda = None, None
+
+from mamba_ssm.ops.triton.ssd_bmm import _bmm_chunk_fwd, _bmm_chunk_bwd
+from mamba_ssm.ops.triton.ssd_chunk_state import _chunk_cumsum_fwd, _chunk_cumsum_bwd
+from mamba_ssm.ops.triton.ssd_chunk_state import _chunk_state_fwd, _chunk_state_bwd_db
+from mamba_ssm.ops.triton.ssd_chunk_state import _chunk_state_bwd_ddAcs_stable
+from mamba_ssm.ops.triton.ssd_chunk_state import chunk_state, chunk_state_ref
+from mamba_ssm.ops.triton.ssd_chunk_state import chunk_state_varlen
+from mamba_ssm.ops.triton.ssd_state_passing import _state_passing_fwd, _state_passing_bwd
+from mamba_ssm.ops.triton.ssd_state_passing import state_passing, state_passing_ref
+from mamba_ssm.ops.triton.ssd_chunk_scan import _chunk_scan_fwd, _chunk_scan_bwd_dz, _chunk_scan_bwd_dstates
+from mamba_ssm.ops.triton.ssd_chunk_scan import _chunk_scan_bwd_dC, _chunk_scan_bwd_dcb
+from mamba_ssm.ops.triton.ssd_chunk_scan import _chunk_scan_bwd_ddAcs_stable
+from mamba_ssm.ops.triton.ssd_chunk_scan import chunk_scan, chunk_scan_ref
+from mamba_ssm.ops.triton.ssd_chunk_scan import _chunk_scan_bwd_ddAcs_prev
+from mamba_ssm.ops.triton.layernorm_gated import rmsnorm_fn, _layer_norm_fwd, _layer_norm_bwd
+from mamba_ssm.ops.triton.k_activations import _swiglu_fwd, _swiglu_bwd
+
+TRITON_22 = version.parse(triton.__version__) >= version.parse('2.2.0')
+
+
+def init_to_zero(names):
+    return lambda nargs: [nargs[name].zero_() for name in names if nargs[name] is not None]
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+        triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])),
+    ],
+    key=['chunk_size', 'hdim', 'dstate'],
+)
+@triton.jit
+def _chunk_scan_chunk_state_bwd_dx_kernel(
+    # Pointers to matrices
+    x_ptr, cb_ptr, dout_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr, D_ptr,
+    b_ptr, dstates_ptr,
+    dx_ptr, ddt_ptr, dD_ptr,
+    # Matrix dimensions
+    chunk_size, hdim, dstate,
+    batch, seqlen, nheads_ngroups_ratio,
+    # Strides
+    stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim,
+    stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_k,
+    stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim,
+    stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    stride_D_head,
+    stride_b_batch, stride_b_seqlen, stride_b_head, stride_b_dstate,
+    stride_dstates_batch, stride_dstates_chunk, stride_dstates_head, stride_dstates_hdim, stride_dstates_dstate,
+    stride_dx_batch, stride_dx_seqlen, stride_dx_head, stride_dx_hdim,
+    stride_ddt_batch, stride_ddt_chunk, stride_ddt_head, stride_ddt_csize,
+    stride_dD_batch, stride_dD_chunk, stride_dD_head, stride_dD_csize, stride_dD_hdim,
+    # Meta-parameters
+    HAS_D: tl.constexpr,
+    D_HAS_HDIM: tl.constexpr,
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr,
+    BLOCK_SIZE_DSTATE: tl.constexpr,
+    IS_TRITON_22: tl.constexpr,
+):
+    pid_bc = tl.program_id(axis=1)
+    pid_c = pid_bc // batch
+    pid_b = pid_bc - pid_c * batch
+    pid_h = tl.program_id(axis=2)
+    num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N)
+    pid_m = tl.program_id(axis=0) // num_pid_n
+    pid_n = tl.program_id(axis=0) % num_pid_n
+    x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head
+    cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + (pid_h // nheads_ngroups_ratio) * stride_cb_head
+    dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head
+    dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head
+    ddt_ptr += pid_b * stride_ddt_batch + pid_c * stride_ddt_chunk + pid_h * stride_ddt_head
+    dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head
+    b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + (pid_h // nheads_ngroups_ratio) * stride_b_head
+    dstates_ptr += pid_b * stride_dstates_batch + pid_c * stride_dstates_chunk + pid_h * stride_dstates_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+
+    chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size)
+
+    acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+
+    dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32)
+
+    dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to(tl.float32)
+    if not HAS_SEQ_IDX:
+        scale = tl.exp(dA_cs_last - dA_cs_m)
+    else:
+        seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1)
+        seq_idx_last = tl.load(seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen)
+        scale = tl.where(seq_idx_m == seq_idx_last, tl.exp(dA_cs_last - dA_cs_m), 0.0)
+    # Might be faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128
+    # However, we're getting error with the Triton compiler 2.1.0 for that code path:
+    # Unexpected mma -> mma layout conversion
+    # Triton 2.2.0 fixes this
+    offs_dstate = tl.arange(0, BLOCK_SIZE_DSTATE if IS_TRITON_22 and BLOCK_SIZE_DSTATE <= 128 else BLOCK_SIZE_K)
+    b_ptrs = b_ptr + (offs_m[:, None] * stride_b_seqlen + offs_dstate[None, :] * stride_b_dstate)
+    dstates_ptrs = dstates_ptr + (offs_n[None, :] * stride_dstates_hdim + offs_dstate[:, None] * stride_dstates_dstate)
+    if IS_TRITON_22 and BLOCK_SIZE_DSTATE <= 128:
+        b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_dstate[None, :] < dstate), other=0.0)
+        dstates = tl.load(dstates_ptrs, mask=(offs_dstate[:, None] < dstate) & (offs_n[None, :] < hdim), other=0.0)
+        dstates = dstates.to(b_ptr.dtype.element_ty)
+        acc = tl.dot(b, dstates) * scale[:, None]
+    else:
+        for k in range(0, dstate, BLOCK_SIZE_K):
+            b = tl.load(b_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_dstate[None, :] < dstate - k), other=0.0)
+            dstates = tl.load(dstates_ptrs, mask=(offs_dstate[:, None] < dstate - k) & (offs_n[None, :] < hdim), other=0.0)
+            dstates = dstates.to(b_ptr.dtype.element_ty)
+            acc += tl.dot(b, dstates)
+            b_ptrs += BLOCK_SIZE_K * stride_b_dstate
+            dstates_ptrs += BLOCK_SIZE_K * stride_dstates_dstate
+        acc *= scale[:, None]
+
+    # x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim)
+    # x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32)
+    # dt_ptrs = dt_ptr + offs_m * stride_dt_csize
+    # dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32)
+    # ddt = tl.sum(acc * x, axis=1) * dt_m
+    # ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize
+    # tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size)
+
+    offs_k = tl.arange(0, BLOCK_SIZE_K)
+    cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_k[None, :] * stride_cb_csize_k)
+    dout_ptrs = dout_ptr + (offs_k[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim)
+    dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize
+    K_MAX = chunk_size_limit
+    K_MIN = pid_m * BLOCK_SIZE_M
+    cb_ptrs += K_MIN * stride_cb_csize_k
+    dout_ptrs += K_MIN * stride_dout_seqlen
+    dA_cumsum_ptrs += K_MIN * stride_dA_cs_csize
+    for k in range(K_MIN, K_MAX, BLOCK_SIZE_K):
+        k = tl.multiple_of(k, BLOCK_SIZE_K)
+        # For some reason setting mask to (offs_m[:, None] < chunk_size_limit) is much slower
+        cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_k[None, :] < K_MAX - k), other=0.0)
+        dout = tl.load(dout_ptrs, mask=(offs_k[:, None] < K_MAX - k) & (offs_n[None, :] < hdim), other=0.0)
+        dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < K_MAX - k, other=0.0).to(tl.float32)
+        cb *= tl.exp(dA_cs_k[None, :] - dA_cs_m[:, None])
+        # If we don't have the (k + offs_k[None, :] < K_MAX) mask, for indices outside this range,
+        # we might have dA_cs_m = 0.0 and dA_cs_k very negative, and tl.exp will return inf.
+        # Multiplying with cb, which is 0.0 outside the range, will make the result NaN.
+        # This will cause NaN in acc, and hence NaN in dx and ddt.
+        mask = (k + offs_k[None, :] >= offs_m[:, None]) & (k + offs_k[None, :] < K_MAX)
+        cb = tl.where(mask, cb, 0.0)
+        cb = cb.to(dout_ptr.dtype.element_ty)
+        acc += tl.dot(cb, dout)
+        cb_ptrs += BLOCK_SIZE_K * stride_cb_csize_k
+        dout_ptrs += BLOCK_SIZE_K * stride_dout_seqlen
+        dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize
+
+    offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+    offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+    dt_ptrs = dt_ptr + offs_m * stride_dt_csize
+    dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32)
+    dx = acc * dt_m[:, None]
+    dx_ptr += pid_b * stride_dx_batch + pid_c * chunk_size * stride_dx_seqlen + pid_h * stride_dx_head
+    dx_ptrs = dx_ptr + (offs_m[:, None] * stride_dx_seqlen + offs_n[None, :] * stride_dx_hdim)
+    if HAS_D:
+        dout_res_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim)
+        dout_res = tl.load(dout_res_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32)
+        if D_HAS_HDIM:
+            D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32)
+        else:
+            D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32)
+        dx += dout_res * D
+    tl.store(dx_ptrs, dx, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim))
+
+    x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim)
+    x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32)
+    if HAS_D:
+        dD_ptr += pid_b * stride_dD_batch + pid_c * stride_dD_chunk + pid_h * stride_dD_head + pid_m * stride_dD_csize
+        if D_HAS_HDIM:
+            dD_ptrs = dD_ptr + offs_n * stride_dD_hdim
+            dD = tl.sum(dout_res * x, axis=0)
+            tl.store(dD_ptrs, dD, mask=offs_n < hdim)
+        else:
+            dD = tl.sum(dout_res * x)
+            tl.store(dD_ptr, dD)
+    ddt = tl.sum(acc * x, axis=1)
+    ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize
+    tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size)
+
+
+def _chunk_scan_chunk_state_bwd_dx(x, dt, dA_cumsum, B, CB, dout, dstates, D=None, seq_idx=None, dx=None):
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, nchunks, chunk_size = dt.shape
+    _, _, ngroups, dstate = B.shape
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    assert CB.shape == (batch, nchunks, ngroups, chunk_size, chunk_size)
+    assert dt.shape == (batch, nheads, nchunks, chunk_size)
+    assert dA_cumsum.shape == dt.shape
+    assert dout.shape == x.shape
+    assert dstates.shape == (batch, nchunks, nheads, headdim, dstate)
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    if D is not None:
+        assert D.shape == (nheads, headdim) or D.shape == (nheads,)
+        assert D.stride(-1) == 1
+        BLOCK_SIZE_min = 32
+        dD = torch.empty(triton.cdiv(chunk_size, BLOCK_SIZE_min), batch, nchunks, nheads,
+                         headdim if D.dim() == 2 else 1, device=D.device, dtype=torch.float32)
+    else:
+        dD = None
+    dD_strides = ((dD.stride(0), dD.stride(1), dD.stride(2), dD.stride(3), dD.stride(4))
+                    if D is not None else (0, 0, 0, 0, 0))
+    if dx is None:
+        dx = torch.empty_like(x)
+    else:
+        assert dx.shape == x.shape
+    ddt = torch.empty(batch, nheads, nchunks, chunk_size, device=dout.device, dtype=torch.float32)
+    grid_dx = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(headdim, META['BLOCK_SIZE_N']),
+                        batch * nchunks, nheads)
+    with torch.cuda.device(x.device.index):
+        _chunk_scan_chunk_state_bwd_dx_kernel[grid_dx](
+            x, CB, dout, dt, dA_cumsum, seq_idx, D, B, dstates, dx, ddt, dD,
+            chunk_size, headdim, dstate,
+            batch, seqlen, nheads // ngroups,
+            x.stride(0), x.stride(1), x.stride(2), x.stride(3),
+            CB.stride(0), CB.stride(1), CB.stride(2), CB.stride(-1), CB.stride(-2),
+            dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3),
+            dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3),
+            dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            D.stride(0) if D is not None else 0,
+            B.stride(0), B.stride(1), B.stride(2), B.stride(3),
+            dstates.stride(0), dstates.stride(1), dstates.stride(2), dstates.stride(3), dstates.stride(4),
+            dx.stride(0), dx.stride(1), dx.stride(2), dx.stride(3),
+            ddt.stride(0), ddt.stride(2), ddt.stride(1), ddt.stride(3),
+            dD_strides[1], dD_strides[2], dD_strides[3], dD_strides[0], dD_strides[4],
+            D is not None,
+            D.dim() == 2 if D is not None else True,
+            HAS_SEQ_IDX=seq_idx is not None,
+            BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16),
+            IS_TRITON_22=TRITON_22
+        )
+    if D is not None:
+        BLOCK_SIZE_actual = _chunk_scan_chunk_state_bwd_dx_kernel.best_config.kwargs["BLOCK_SIZE_M"]
+        n_valid_blocks = (chunk_size + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual
+        dD = dD[:n_valid_blocks].sum(dim=(0, 1, 2)).to(dtype=D.dtype)
+        if D.dim() == 1:
+            dD = rearrange(dD, "h 1 -> h")
+    return dx, ddt.to(dtype=dt.dtype), dD
+
+
+def _mamba_chunk_scan_combined_fwd(x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, initial_states=None, seq_idx=None, cu_seqlens=None, dt_softplus=False, dt_limit=(0.0, float("inf"))):
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, ngroups, dstate = B.shape
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    assert x.shape == (batch, seqlen, nheads, headdim)
+    assert dt.shape == (batch, seqlen, nheads)
+    assert A.shape == (nheads,)
+    assert C.shape == B.shape
+    if z is not None:
+        assert z.shape == x.shape
+    if D is not None:
+        assert D.shape == (nheads, headdim) or D.shape == (nheads,)
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    if B.stride(-1) != 1:
+        B = B.contiguous()
+    if C.stride(-1) != 1:
+        C = C.contiguous()
+    if x.stride(-1) != 1 and x.stride(1) != 1:  # Either M or K dimension should be contiguous
+        x = x.contiguous()
+    if z is not None and z.stride(-1) != 1 and z.stride(1) != 1:  # Either M or K dimension should be contiguous
+        z = z.contiguous()
+    if D is not None and D.stride(-1) != 1:
+        D = D.contiguous()
+    if initial_states is not None:
+        assert initial_states.shape == (batch, nheads, headdim, dstate)
+    # # (batch, nchunks, chunk_size, chunk_size) or (batch, nchunks, nheads, chunk_size, chunk_size)
+    # dA_cumsum_tmp0, dt_tmp0 = _chunk_cumsum_fwd(dt[:, :147], A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus)
+    # dA_cumsum_tmp1, dt_tmp1 = _chunk_cumsum_fwd(dt[:, 147:], A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus)
+    # dA_cumsum_tmp2, dt_tmp2 = _chunk_cumsum_fwd(dt[:, 147:256], A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus)
+    dA_cumsum, dt = _chunk_cumsum_fwd(dt, A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus, dt_limit=dt_limit)
+    states = _chunk_state_fwd(B, x, dt, dA_cumsum, seq_idx=seq_idx, states_in_fp32=True)
+    # states_tmp0 = _chunk_state_fwd(B[:, :147], x[:, :147], dt_tmp0, dA_cumsum_tmp0, states_in_fp32=True)
+    # states_tmp1 = _chunk_state_fwd(B[:, 147:], x[:, 147:], dt_tmp1, dA_cumsum_tmp1, states_in_fp32=True)
+    # states_tmp2 = _chunk_state_fwd(B[:, 147:256], x[:, 147:256], dt_tmp2, dA_cumsum_tmp2, states_in_fp32=True)
+    states, final_states = _state_passing_fwd(rearrange(states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1],
+                                              initial_states=rearrange(initial_states, "... p n -> ... (p n)") if initial_states is not None else None,
+                                              seq_idx=seq_idx, chunk_size=chunk_size, out_dtype=C.dtype)
+    states, final_states = [rearrange(t, "... (p n) -> ... p n", n=dstate) for t in [states, final_states]]
+    # states_tmp0 = rearrange(_state_passing_fwd(rearrange(states_tmp0, "... p n -> ... (p n)"), dA_cumsum_tmp0[:, :, :, -1], chunk_size=chunk_size), "... (p n) -> ... p n", n=dstate)
+    # states_tmp1 = rearrange(_state_passing_fwd(rearrange(states_tmp1, "... p n -> ... (p n)"), dA_cumsum_tmp1[:, :, :, -1], chunk_size=chunk_size), "... (p n) -> ... p n", n=dstate)
+    CB = _bmm_chunk_fwd(C, B, chunk_size, seq_idx=seq_idx, output_dtype=torch.float32)
+    out, out_x = _chunk_scan_fwd(CB, x, dt, dA_cumsum, C, states, D=D, z=z, seq_idx=seq_idx)
+    if cu_seqlens is None:
+        return out, out_x, dt, dA_cumsum, states, final_states
+    else:
+        assert batch == 1, "passing cu_seqlens to get the varlen states is only supported if batch dimension is 1"
+        varlen_states = chunk_state_varlen(B.squeeze(0), x.squeeze(0), dt.squeeze(0), dA_cumsum.squeeze(0),
+                                           cu_seqlens, states.squeeze(0))
+        return out, out_x, dt, dA_cumsum, states, final_states, varlen_states
+
+
+def _mamba_chunk_scan_combined_bwd(dout, x, dt, A, B, C, out, chunk_size, D=None, z=None,
+                                   dt_bias=None, initial_states=None, dfinal_states=None, seq_idx=None, dt_softplus=False,
+                                   dt_limit=(0.0, float("inf")),
+                                   dx=None, ddt=None, dB=None, dC=None, dz=None, recompute_output=False):
+    if dout.stride(-1) != 1:
+        dout = dout.contiguous()
+    batch, seqlen, nheads, headdim = x.shape
+    nchunks = math.ceil(seqlen / chunk_size)
+    _, _, ngroups, dstate = B.shape
+    assert dout.shape == (batch, seqlen, nheads, headdim)
+    assert dt.shape == (batch, seqlen, nheads)
+    assert A.shape == (nheads,)
+    assert nheads % ngroups == 0
+    assert B.shape == (batch, seqlen, ngroups, dstate)
+    assert C.shape == B.shape
+    assert out.shape == x.shape
+    if initial_states is not None:
+        assert initial_states.shape == (batch, nheads, headdim, dstate)
+    if seq_idx is not None:
+        assert seq_idx.shape == (batch, seqlen)
+    if dx is not None:
+        assert dx.shape == x.shape
+    if dB is not None:
+        assert dB.shape == B.shape
+        dB_given = dB
+    else:
+        dB_given = torch.empty_like(B)
+    if dC is not None:
+        assert dC.shape == C.shape
+        dC_given = dC
+    else:
+        dC_given = torch.empty_like(C)
+    if dz is not None:
+        assert z is not None
+        assert dz.shape == z.shape
+    if ddt is not None:
+        assert ddt.shape == dt.shape
+        ddt_given = ddt
+    else:
+        ddt_given = torch.empty_like(dt)
+    # TD: For some reason Triton (2.1.0 and 2.2.0) errors with
+    # "[CUDA]: invalid device context" (e.g. during varlne test), and cloning makes it work. Idk why.
+    dt_in = dt.clone()
+    dA_cumsum, dt = _chunk_cumsum_fwd(dt_in, A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus,
+                                      dt_limit=dt_limit)
+    CB = _bmm_chunk_fwd(C, B, chunk_size, seq_idx=seq_idx, output_dtype=torch.float32)
+    states = _chunk_state_fwd(B, x, dt, dA_cumsum, seq_idx=seq_idx, states_in_fp32=True)
+    states, _ = _state_passing_fwd(rearrange(states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1],
+                                   initial_states=rearrange(initial_states, "... p n -> ... (p n)") if initial_states is not None else None,
+                                   seq_idx=seq_idx, chunk_size=chunk_size)
+    states = rearrange(states, "... (p n) -> ... p n", n=dstate)
+    if z is not None:
+        dz, dout, dD, *rest = _chunk_scan_bwd_dz(x, z, out, dout, chunk_size=chunk_size, has_ddAcs=False, D=D, dz=dz, recompute_output=recompute_output)
+        outz = rest[0] if recompute_output else out
+    else:
+        dz = None
+        outz = out
+    dstates = _chunk_scan_bwd_dstates(C, dA_cumsum, dout, seq_idx=seq_idx, dtype=states.dtype)
+    # dstates has length nchunks, containing the gradient to initial states at index 0 and
+    # gradient to the states of chunk (nchunks - 2) at index (nchunks - 1)
+    # Do computation in fp32 but convert dstates and states to fp16/bf16 since dstates and states
+    # will be used in matmul in the next kernels.
+    dstates, ddA_chunk_cumsum, dinitial_states, states = _state_passing_bwd(
+        rearrange(states, "... p n -> ... (p n)"),
+        dA_cumsum[:, :, :, -1],
+        rearrange(dstates, "... p n -> ... (p n)"),
+        dfinal_states=rearrange(dfinal_states, "... p n -> ... (p n)") if dfinal_states is not None else None,
+        seq_idx=seq_idx,
+        has_initial_states=initial_states is not None,
+        dstates_dtype=x.dtype,
+        states_dtype=x.dtype,
+        chunk_size=chunk_size,
+    )
+    # dstates has length nchunks, containing the gradient to states of chunk 0 at index 0 and
+    # gradient to the final states at index (nchunks - 1)
+    # states has length nchunks, containing the initial states at index 0 and the state for chunk (nchunks - 2) at index (nchunks - 1)
+    # The final states is not stored.
+    states = rearrange(states, "... (p n) -> ... p n", n=dstate)
+    dstates = rearrange(dstates, "... (p n) -> ... p n", n=dstate)
+    dinitial_states = rearrange(dinitial_states, "... (p n) -> ... p n", n=dstate) if dinitial_states is not None else None
+    dx, ddt, dD_from_x = _chunk_scan_chunk_state_bwd_dx(x, dt, dA_cumsum, B, CB, dout, dstates, D=D, seq_idx=seq_idx, dx=dx)
+    # dB = _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, seq_idx=seq_idx, ngroups=ngroups)
+    dB, ddA_next = _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, seq_idx=seq_idx, B=B, ngroups=ngroups)
+    # dC = _chunk_scan_bwd_dC(states[:, :-1].to(x.dtype), dA_cumsum, dout, seq_idx=seq_idx, ngroups=ngroups)
+    dC, ddA_cumsum_prev = _chunk_scan_bwd_dC(states.to(x.dtype), dA_cumsum, dout, seq_idx=seq_idx, C=C, ngroups=ngroups)
+    # Computing ddA with the dcb kernel is much slower, so we're not using it for now
+    dCB = _chunk_scan_bwd_dcb(x, dt, dA_cumsum, dout, seq_idx=seq_idx, ngroups=ngroups)
+    # dCB, ddA_tmp = _chunk_scan_bwd_dcb(x, dt, dA_cumsum, dout, seq_idx=seq_idx, CB=CB, ngroups=ngroups)
+    dCB = dCB.to(CB.dtype)
+    _bmm_chunk_bwd(C, dCB, residual=dB, out=dB_given)
+    _bmm_chunk_bwd(B, rearrange(dCB, "... l s -> ... s l"), residual=dC, out=dC_given)
+    # If we have z, then dout_x is recomputed in fp32 so dD = (dout_x * x).sum() is more accurate
+    # than dD_from_x = (dout_x * x).sum() where dout_x is in fp16/bf16
+    if z is None:
+        dD = dD_from_x
+    # Formula for ddA_cumsum, assuming out is the output of the forward pass before adding x * D.
+    # ddA_cumsum = torch.einsum("bclhp,bclhp->bhcl", out.float(), dout.float()) - ddt * dt
+    # However, this is numerically unstable: when we do the reverse cumsum on ddA_cumsum, there might
+    # be a lot of underflow.
+
+    # This is already done as part of bwd_dC kernel
+    # ddA_cumsum_prev = _chunk_scan_bwd_ddAcs_prev(states[:, :-1], C, dout, dA_cumsum, seq_idx=seq_idx)
+    ddA_cumsum_prev[..., -1] += ddA_chunk_cumsum
+    ddA_prev = ddA_cumsum_prev.flip([-1]).cumsum(dim=-1).flip([-1])
+    # This is already done as part of bwd_dB kernel
+    # ddA_next = _chunk_state_bwd_ddAcs_stable(B, x, dt, dA_cumsum, dstates, seq_idx=seq_idx)
+    # We don't need to pass in seq_idx because CB also zeros out entries where seq_idx[i] != seq_idx[j]
+    ddA = _chunk_scan_bwd_ddAcs_stable(x, dt, dA_cumsum, dout, CB)
+    ddA += ddA_next + ddA_prev
+
+    ddt_given, dA, ddt_bias = _chunk_cumsum_bwd(ddA, ddt, dt_in, A, dt_bias=dt_bias, dt_softplus=dt_softplus, dt_limit=dt_limit, ddt=ddt_given)
+
+    # These 2 lines are just to test ddt and dA being computed by old code
+    # _, dA = selective_scan_bwd(dout, x, dt, A, B, C, D=D.float(), z=z)
+    # ddt_given.copy_(ddt)
+
+    return_vals = (dx, ddt_given, dA, dB_given, dC_given, dD, dz, ddt_bias, dinitial_states)
+    return return_vals if not recompute_output else (*return_vals, outz)
+
+
+def selective_scan_bwd(dout, x, dt, A, B, C, D=None, z=None):
+    """
+    Argument:
+        dout: (batch, seqlen, nheads, headdim)
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, nheads, nchunks, chunk_size) or (batch, nheads, headdim, nchunks, chunk_size)
+        A: (nheads) or (dim, dstate)
+        B: (batch, seqlen, ngroups, dstate)
+        C: (batch, seqlen, ngroups, dstate)
+        D: (nheads, headdim) or (nheads,)
+        z: (batch, seqlen, nheads, headdim)
+    Return:
+        out: (batch, seqlen, nheads, headdim)
+    """
+    import selective_scan
+
+    batch, seqlen, nheads, headdim = x.shape
+    chunk_size = dt.shape[-1]
+    _, _, ngroups, dstate = B.shape
+    assert nheads % ngroups == 0
+    x = rearrange(x, "b l h p -> b (h p) l")
+    squeeze_dt = dt.dim() == 4
+    if dt.dim() == 4:
+        dt = repeat(dt, "b h c l -> b h p c l", p=headdim)
+    dt = rearrange(dt, "b h p c l -> b (h p) (c l)", p=headdim)
+    squeeze_A = A.dim() == 1
+    if A.dim() == 1:
+        A = repeat(A, "h -> (h p) n", p=headdim, n=dstate).to(dtype=torch.float32)
+    else:
+        A = A.to(dtype=torch.float32)
+    B = rearrange(B, "b l g n -> b g n l")
+    C = rearrange(C, "b l g n -> b g n l")
+    if D is not None:
+        if D.dim() == 2:
+            D = rearrange(D, "h p -> (h p)")
+        else:
+            D = repeat(D, "h -> (h p)", p=headdim)
+    if z is not None:
+        z = rearrange(z, "b l h p -> b (h p) l")
+
+    if x.stride(-1) != 1:
+        x = x.contiguous()
+    if dt.stride(-1) != 1:
+        dt = dt.contiguous()
+    if D is not None:
+        D = D.contiguous()
+    if B.stride(-1) != 1:
+        B = B.contiguous()
+    if C.stride(-1) != 1:
+        C = C.contiguous()
+    if z is not None and z.stride(-1) != 1:
+        z = z.contiguous()
+    _, intermediate, *rest = selective_scan.fwd(x, dt.to(dtype=x.dtype), A, B, C, D, z, None, False)
+    if z is not None:
+        out = rest[0]
+    else:
+        out = None
+
+    dout = rearrange(dout, "b l h p -> b (h p) l")
+
+    if dout.stride(-1) != 1:
+        dout = dout.contiguous()
+    # The kernel supports passing in a pre-allocated dz (e.g., in case we want to fuse the
+    # backward of selective_scan with the backward of chunk).
+    # Here we just pass in None and dz will be allocated in the C++ code.
+    _, ddt, dA, *rest = selective_scan.bwd(
+        x, dt.to(dtype=x.dtype), A, B, C, D, z, None, dout, intermediate, out, None, False,
+        False  # option to recompute out_z, not used here
+    )
+    ddt = rearrange(ddt, "b (h p) (c l) -> b h p c l", p=headdim, l=chunk_size)
+    if squeeze_dt:
+        ddt = ddt.float().sum(dim=2)
+    if squeeze_A:
+        dA = rearrange(dA, "(h p) n -> h p n", p=headdim).sum(dim=(1, 2))
+    return ddt, dA
+
+
+class MambaChunkScanCombinedFn(torch.autograd.Function):
+
+    @staticmethod
+    def forward(ctx, x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, initial_states=None, seq_idx=None, cu_seqlens=None, dt_softplus=False, dt_limit=(0.0, float("inf")), return_final_states=False, return_varlen_states=False):
+        ctx.dt_dtype = dt.dtype
+        if not return_varlen_states:
+            cu_seqlens = None
+        else:
+            assert cu_seqlens is not None, "cu_seqlens must be provided if return_varlen_states is True"
+        out, out_x, dt_out, dA_cumsum, states, final_states, *rest = _mamba_chunk_scan_combined_fwd(x, dt, A, B, C, chunk_size, D=D, z=z, dt_bias=dt_bias, initial_states=initial_states, seq_idx=seq_idx, cu_seqlens=cu_seqlens, dt_softplus=dt_softplus, dt_limit=dt_limit)
+        ctx.save_for_backward(out if z is None else out_x, x, dt, dA_cumsum, A, B, C, D, z, dt_bias, initial_states, seq_idx)
+        ctx.dt_softplus = dt_softplus
+        ctx.chunk_size = chunk_size
+        ctx.dt_limit = dt_limit
+        ctx.return_final_states = return_final_states
+        ctx.return_varlen_states = return_varlen_states
+        if not return_varlen_states:
+            return out if not return_final_states else (out, final_states)
+        else:
+            varlen_states = rest[0]
+            return (out, varlen_states) if not return_final_states else (out, final_states, varlen_states)
+
+    @staticmethod
+    def backward(ctx, dout, *args):
+        out, x, dt, dA_cumsum, A, B, C, D, z, dt_bias, initial_states, seq_idx = ctx.saved_tensors
+        assert not ctx.return_varlen_states, "return_varlen_states is not supported in backward"
+        dfinal_states = args[0] if ctx.return_final_states else None
+        dx, ddt, dA, dB, dC, dD, dz, ddt_bias, dinitial_states = _mamba_chunk_scan_combined_bwd(dout, x, dt, A, B, C, out, ctx.chunk_size, D=D, z=z, dt_bias=dt_bias, initial_states=initial_states, dfinal_states=dfinal_states, seq_idx=seq_idx, dt_softplus=ctx.dt_softplus, dt_limit=ctx.dt_limit)
+        return dx, ddt, dA, dB, dC, None, dD, dz, ddt_bias, dinitial_states, None, None, None, None, None, None
+
+
+def mamba_chunk_scan_combined(x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, initial_states=None, seq_idx=None, cu_seqlens=None, dt_softplus=False, dt_limit=(0.0, float("inf")), return_final_states=False, return_varlen_states=False):
+    """
+    Argument:
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, seqlen, nheads)
+        A: (nheads)
+        B: (batch, seqlen, ngroups, dstate)
+        C: (batch, seqlen, ngroups, dstate)
+        chunk_size: int
+        D: (nheads, headdim) or (nheads,)
+        z: (batch, seqlen, nheads, headdim)
+        dt_bias: (nheads,)
+        initial_states: (batch, nheads, headdim, dstate)
+        seq_idx: (batch, seqlen)
+        cu_seqlens: (num_sequences + 1) or None, only used if return_varlen_states is True
+        dt_softplus: Whether to apply softplus to dt
+    Return:
+        out: (batch, seqlen, nheads, headdim)
+    """
+    return MambaChunkScanCombinedFn.apply(x, dt, A, B, C, chunk_size, D, z, dt_bias, initial_states, seq_idx, cu_seqlens, dt_softplus, dt_limit, return_final_states, return_varlen_states)
+
+
+def mamba_chunk_scan(x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, dt_softplus=False):
+    """
+    Argument:
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, seqlen, nheads)
+        A: (nheads)
+        B: (batch, seqlen, ngroups, dstate)
+        C: (batch, seqlen, ngroups, dstate)
+        D: (nheads, headdim) or (nheads,)
+        z: (batch, seqlen, nheads, headdim)
+        dt_bias: (nheads,)
+    Return:
+        out: (batch, seqlen, nheads, headdim)
+    """
+    batch, seqlen, nheads, headdim = x.shape
+    dstate = B.shape[-1]
+    if seqlen % chunk_size != 0:
+        dt = F.pad(dt, (0, 0, 0, chunk_size - seqlen % chunk_size))
+    dt = rearrange(dt, "b (c l) h -> b h c l", l=chunk_size)
+    dt = dt.float()  # We want high precision for this before cumsum
+    if dt_bias is not None:
+        dt = dt + rearrange(dt_bias, "h -> h 1 1")
+    if dt_softplus:
+        dt = F.softplus(dt)
+    dA = dt * rearrange(A, "h -> h 1 1")
+    dA = dt * rearrange(A, "h -> h 1 1")
+    dA_cumsum = torch.cumsum(dA, dim=-1)
+    # 1. Compute the state for each chunk
+    states = chunk_state(B, x, dt, dA_cumsum, states_in_fp32=True)
+    # 2. Pass the state to all the chunks by weighted cumsum.
+    states = rearrange(state_passing(rearrange(states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1])[0],
+                       "... (p n) -> ... p n", n=dstate)
+    # 3. Compute the output for each chunk
+    out = chunk_scan(B, C, x, dt, dA_cumsum, states, D=D, z=z)
+    return out
+
+
+def ssd_chunk_scan_combined_ref(x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, dt_softplus=False):
+    """
+    Argument:
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, seqlen, nheads)
+        A: (nheads)
+        B: (batch, seqlen, ngroups, dstate)
+        C: (batch, seqlen, ngroups, dstate)
+        D: (nheads, headdim) or (nheads,)
+        z: (batch, seqlen, nheads, headdim)
+        dt_bias: (nheads,)
+    Return:
+        out: (batch, seqlen, nheads, headdim)
+    """
+    batch, seqlen, nheads, headdim = x.shape
+    dstate = B.shape[-1]
+    if seqlen % chunk_size != 0:
+        dt = F.pad(dt, (0, 0, 0, chunk_size - seqlen % chunk_size))
+    dt = rearrange(dt, "b (c l) h -> b h c l", l=chunk_size)
+    dt = dt.float()  # We want high precision for this before cumsum
+    if dt_bias is not None:
+        dt = dt + rearrange(dt_bias, "h -> h 1 1")
+    if dt_softplus:
+        dt = F.softplus(dt)
+    dA = dt * rearrange(A, "h -> h 1 1")
+    dA_cumsum = torch.cumsum(dA, dim=-1)
+    # 1. Compute the state for each chunk
+    states = chunk_state_ref(B, x, dt, dA_cumsum)
+    states_dtype = states.dtype
+    if states.dtype not in [torch.float32, torch.float64]:
+        states = states.to(torch.float32)
+    # 2. Pass the state to all the chunks by weighted cumsum.
+    # state_passing_ref is much less numerically stable
+    states = rearrange(state_passing_ref(rearrange(states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1])[0],
+                       "... (p n) -> ... p n", n=dstate)
+    states = states.to(states_dtype)
+    # 3. Compute the output for each chunk
+    out = chunk_scan_ref(B, C, x, dt, dA_cumsum, states, D=D, z=z)
+    return out
+
+
+def ssd_selective_scan(x, dt, A, B, C, D=None, z=None, dt_bias=None, dt_softplus=False, dt_limit=(0.0, float("inf"))):
+    """
+    Argument:
+        x: (batch, seqlen, nheads, headdim)
+        dt: (batch, seqlen, nheads) or (batch, seqlen, nheads, headdim)
+        A: (nheads) or (dim, dstate)
+        B: (batch, seqlen, ngroups, dstate)
+        C: (batch, seqlen, ngroups, dstate)
+        D: (nheads, headdim) or (nheads,)
+        z: (batch, seqlen, nheads, headdim)
+        dt_bias: (nheads,) or (nheads, headdim)
+    Return:
+        out: (batch, seqlen, nheads, headdim)
+    """
+    from mamba_ssm.ops.selective_scan_interface import selective_scan_fn
+
+    batch, seqlen, nheads, headdim = x.shape
+    _, _, ngroups, dstate = B.shape
+    x = rearrange(x, "b l h p -> b (h p) l")
+    if dt.dim() == 3:
+        dt = repeat(dt, "b l h -> b l h p", p=headdim)
+    dt = rearrange(dt, "b l h p -> b (h p) l")
+    if A.dim() == 1:
+        A = repeat(A, "h -> (h p) n", p=headdim, n=dstate).to(dtype=torch.float32)
+    else:
+        A = A.to(dtype=torch.float32)
+    B = rearrange(B, "b l g n -> b g n l")
+    C = rearrange(C, "b l g n -> b g n l")
+    if D is not None:
+        if D.dim() == 2:
+            D = rearrange(D, "h p -> (h p)")
+        else:
+            D = repeat(D, "h -> (h p)", p=headdim)
+    if z is not None:
+        z = rearrange(z, "b l h p -> b (h p) l")
+    if dt_bias is not None:
+        if dt_bias.dim() == 1:
+            dt_bias = repeat(dt_bias, "h -> h p", p=headdim)
+        dt_bias = rearrange(dt_bias, "h p -> (h p)")
+    if dt_limit != (0.0, float("inf")):
+        if dt_bias is not None:
+            dt = dt + rearrange(dt_bias, "d -> d 1")
+        if dt_softplus:
+            dt = F.softplus(dt)
+        dt = dt.clamp(min=dt_limit[0], max=dt_limit[1]).to(x.dtype)
+        dt_bias = None
+        dt_softplus = None
+    out = selective_scan_fn(x, dt, A, B, C, D=D, z=z, delta_bias=dt_bias, delta_softplus=dt_softplus)
+    return rearrange(out, "b (h p) l -> b l h p", p=headdim)
+
+
+def mamba_conv1d_scan_ref(xBC, conv1d_weight, conv1d_bias, dt, A, chunk_size, D=None, z=None,
+                          dt_bias=None, dt_softplus=False, dt_limit=(0.0, float("inf")),
+                          activation="silu", headdim=None, ngroups=1):
+    """
+    Argument:
+        xBC: (batch, seqlen, dim + 2 * ngroups * dstate) where dim == nheads * headdim
+        conv1d_weight: (dim + 2 * ngroups * dstate, width)
+        conv1d_bias: (dim + 2 * ngroups * dstate,)
+        dt: (batch, seqlen, nheads) or (batch, seqlen, nheads, headdim)
+        A: (nheads)
+        D: (nheads, headdim) or (nheads,)
+        z: (batch, seqlen, dim)
+        dt_bias: (nheads) or (nheads, headdim)
+        headdim: if D is 1D and z is None, headdim must be passed in
+    Return:
+        out: (batch, seqlen, dim)
+    """
+    batch, seqlen, nheads = dt.shape[:3]
+    assert nheads % ngroups == 0
+    if z is not None:
+        dim = z.shape[-1]
+        assert dim % nheads == 0
+        headdim = dim // nheads
+    else:
+        if D.dim() == 1:
+            assert headdim is not None
+        else:
+            headdim = D.shape[1]
+        dim = nheads * headdim
+    xBC = rearrange(causal_conv1d_fn(rearrange(xBC, "b s d -> b d s"), conv1d_weight, conv1d_bias, activation=activation),
+                    "b d s -> b s d")
+    dstate = (xBC.shape[-1] - dim) // ngroups // 2
+    x, B, C = torch.split(xBC, [dim, ngroups * dstate, ngroups * dstate], dim=-1)
+    x = rearrange(x, "b l (h p) -> b l h p", h=nheads)
+    B = rearrange(B, "b l (g n) -> b l g n", g=ngroups)
+    C = rearrange(C, "b l (g n) -> b l g n", g=ngroups)
+    z = rearrange(z, "b l (h p) -> b l h p", h=nheads) if z is not None else None
+    out = ssd_selective_scan(x, dt.to(x.dtype), A, B, C, D=D.float(), z=z, dt_bias=dt_bias, dt_softplus=dt_softplus, dt_limit=dt_limit)
+    return rearrange(out, "b s h p -> b s (h p)")
+
+
+class MambaSplitConv1dScanCombinedFn(torch.autograd.Function):
+
+    @staticmethod
+    @custom_fwd
+    def forward(ctx, zxbcdt, conv1d_weight, conv1d_bias, dt_bias, A, D, chunk_size, initial_states=None, seq_idx=None, dt_limit=(0.0, float("inf")), return_final_states=False, activation="silu",
+                rmsnorm_weight=None, rmsnorm_eps=1e-6, outproj_weight=None, outproj_bias=None, headdim=None,
+                ngroups=1, norm_before_gate=True):
+        assert activation in [None, "silu", "swish"]
+        if D.dim() == 1:
+            assert headdim is not None
+            nheads, = D.shape
+        else:
+            nheads, headdim = D.shape
+        batch, seqlen, _ = zxbcdt.shape
+        dim = nheads * headdim
+        assert nheads % ngroups == 0
+        dstate = (conv1d_weight.shape[0] - dim) // ngroups // 2
+        d_nonssm = (zxbcdt.shape[-1] - 2 * dim - 2 * ngroups * dstate - nheads) // 2
+        assert d_nonssm >= 0
+        assert zxbcdt.shape == (batch, seqlen, 2 * d_nonssm + 2 * dim + 2 * ngroups * dstate + nheads)
+        assert dt_bias.shape == (nheads,)
+        assert A.shape == (nheads,)
+        zx0, z, xBC, dt = torch.split(zxbcdt, [2 * d_nonssm, dim, dim + ngroups * dstate * 2, nheads], dim=-1)
+        seq_idx = seq_idx.contiguous() if seq_idx is not None else None
+        xBC_conv = rearrange(
+            causal_conv1d_cuda.causal_conv1d_fwd(rearrange(xBC, "b s d -> b d s"),
+                                                 conv1d_weight, conv1d_bias, seq_idx, None, None, activation in ["silu", "swish"]),
+            "b d s -> b s d"
+        )
+        x, B, C = torch.split(xBC_conv, [dim, ngroups * dstate, ngroups * dstate], dim=-1)
+        x = rearrange(x, "b l (h p) -> b l h p", h=nheads)
+        B = rearrange(B, "b l (g n) -> b l g n", g=ngroups)
+        C = rearrange(C, "b l (g n) -> b l g n", g=ngroups)
+        z = rearrange(z, "b l (h p) -> b l h p", h=nheads) if z is not None else None
+        if rmsnorm_weight is None:
+            out, out_x, dt_out, dA_cumsum, states, final_states = _mamba_chunk_scan_combined_fwd(x, dt, A, B, C, chunk_size=chunk_size, D=D, z=z, dt_bias=dt_bias, initial_states=initial_states, seq_idx=seq_idx, dt_softplus=True, dt_limit=dt_limit)
+            out = rearrange(out, "b s h p -> b s (h p)")
+            rstd = None
+            if d_nonssm > 0:
+                out = torch.cat([_swiglu_fwd(zx0), out], dim=-1)
+        else:
+            out_x, _, dt_out, dA_cumsum, states, final_states = _mamba_chunk_scan_combined_fwd(x, dt, A, B, C, chunk_size=chunk_size, D=D, z=None, dt_bias=dt_bias, initial_states=initial_states, seq_idx=seq_idx, dt_softplus=True, dt_limit=dt_limit)
+            # reshape input data into 2D tensor
+            x_rms = rearrange(out_x, "b s h p -> (b s) (h p)")
+            z_rms = rearrange(z, "b s h p -> (b s) (h p)")
+            rmsnorm_weight = rmsnorm_weight.contiguous()
+            if d_nonssm == 0:
+                out = None
+            else:
+                out01 = torch.empty((batch, seqlen, d_nonssm + dim), dtype=x_rms.dtype, device=x_rms.device)
+                out = rearrange(out01[..., d_nonssm:], "b s d -> (b s) d")
+                _swiglu_fwd(zx0, out=out01[..., :d_nonssm])
+            out, _, rstd = _layer_norm_fwd(x_rms, rmsnorm_weight, None, rmsnorm_eps, z_rms, out=out,
+                                           group_size=dim // ngroups,
+                                           norm_before_gate=norm_before_gate, is_rms_norm=True)
+            if d_nonssm == 0:
+                out = rearrange(out, "(b s) d -> b s d", b=batch)
+            else:
+                out = out01
+        ctx.outproj_weight_dtype = outproj_weight.dtype if outproj_weight is not None else None
+        if outproj_weight is not None:
+            if torch.is_autocast_enabled():
+                dtype = torch.get_autocast_gpu_dtype()
+                out, outproj_weight = out.to(dtype), outproj_weight.to(dtype)
+                outproj_bias = outproj_bias.to(dtype) if outproj_bias is not None else None
+            out = F.linear(out, outproj_weight, outproj_bias)
+        else:
+            assert outproj_bias is None
+        ctx.save_for_backward(zxbcdt, conv1d_weight, conv1d_bias,
+                              out_x, A, D, dt_bias, initial_states, seq_idx, rmsnorm_weight, rstd, outproj_weight, outproj_bias)
+        ctx.dt_limit = dt_limit
+        ctx.return_final_states = return_final_states
+        ctx.activation = activation
+        ctx.rmsnorm_eps = rmsnorm_eps
+        ctx.norm_before_gate = norm_before_gate
+        ctx.chunk_size = chunk_size
+        ctx.headdim = headdim
+        ctx.ngroups = ngroups
+        return out if not return_final_states else (out, final_states)
+
+    @staticmethod
+    @custom_bwd
+    def backward(ctx, dout, *args):
+        zxbcdt, conv1d_weight, conv1d_bias, out, A, D, dt_bias, initial_states, seq_idx, rmsnorm_weight, rstd, outproj_weight, outproj_bias = ctx.saved_tensors
+        dfinal_states = args[0] if ctx.return_final_states else None
+        headdim = ctx.headdim
+        nheads = D.shape[0]
+        dim = nheads * headdim
+        assert nheads % ctx.ngroups == 0
+        dstate = (conv1d_weight.shape[0] - dim) // ctx.ngroups // 2
+        d_nonssm = (zxbcdt.shape[-1] - 2 * dim - 2 * ctx.ngroups * dstate - nheads) // 2
+        assert d_nonssm >= 0
+        recompute_output = outproj_weight is not None
+        if recompute_output:
+            out_recompute = torch.empty(*out.shape[:2], d_nonssm + dim, device=out.device, dtype=out.dtype)
+            out0_recompute, out1_recompute = out_recompute.split([d_nonssm, dim], dim=-1)
+        zx0, z, xBC, dt = torch.split(zxbcdt, [2 * d_nonssm, dim, dim + 2 * ctx.ngroups * dstate, nheads], dim=-1)
+        # Recompute x, B, C
+        xBC_conv = rearrange(
+            causal_conv1d_cuda.causal_conv1d_fwd(rearrange(xBC, "b s d -> b d s"),
+                                                 conv1d_weight, conv1d_bias, seq_idx, None, None, ctx.activation in ["silu", "swish"]),
+            "b d s -> b s d"
+        )
+        x, B, C = torch.split(xBC_conv, [dim, ctx.ngroups * dstate, ctx.ngroups * dstate], dim=-1)
+        x = rearrange(x, "b l (h p) -> b l h p", h=nheads)
+        B = rearrange(B, "b l (g n) -> b l g n", g=ctx.ngroups)
+        C = rearrange(C, "b l (g n) -> b l g n", g=ctx.ngroups)
+        dzxbcdt = torch.empty_like(zxbcdt)
+        dzx0, dz, dxBC_given, ddt_given = torch.split(dzxbcdt, [2 * d_nonssm, dim, dim + 2 * ctx.ngroups * dstate, nheads], dim=-1)
+        dxBC = torch.empty_like(xBC)
+        dx, dB, dC = torch.split(dxBC, [dim, ctx.ngroups * dstate, ctx.ngroups * dstate], dim=-1)
+        z = rearrange(z, "b l (h p) -> b l h p", h=nheads)
+        dx = rearrange(dx, "b l (h p) -> b l h p", h=nheads)
+        dB = rearrange(dB, "b l (g n) -> b l g n", g=ctx.ngroups)
+        dC = rearrange(dC, "b l (g n) -> b l g n", g=ctx.ngroups)
+        if outproj_weight is not None:
+            dout_og = dout
+            dout = F.linear(dout, outproj_weight.t())
+        if d_nonssm > 0:
+            dout0, dout = dout.split([d_nonssm, dim], dim=-1)
+            _swiglu_bwd(zx0, dout0, dxy=dzx0, recompute_output=True, out=out0_recompute)
+        dout = rearrange(dout, "b s (h p) -> b s h p", p=headdim)
+        if rmsnorm_weight is None:
+            dz = rearrange(dz, "b l (h p) -> b l h p", h=nheads)
+            dx, ddt, dA, dB, dC, dD, dz, ddt_bias, dinitial_states, *rest = _mamba_chunk_scan_combined_bwd(
+                dout, x, dt, A, B, C, out, ctx.chunk_size, D=D, z=z, dt_bias=dt_bias, initial_states=initial_states, dfinal_states=dfinal_states, seq_idx=seq_idx, dt_softplus=True, dt_limit=ctx.dt_limit, dx=dx, ddt=ddt_given, dB=dB, dC=dC, dz=dz, recompute_output=recompute_output
+            )
+            out_for_linear = rearrange(rest[0], "b s h p -> b s (h p)") if recompute_output else None
+            drmsnorm_weight = None
+        else:
+            batch = dout.shape[0]
+            dy_rms = rearrange(dout, "b s h p -> (b s) (h p)")
+            dz = rearrange(dz, "b l d -> (b l) d")
+            x_rms = rearrange(out, "b s h p -> (b s) (h p)")
+            z_rms = rearrange(z, "b s h p -> (b s) (h p)")
+            out1_recompute = rearrange(out1_recompute, "b s d -> (b s) d") if recompute_output else None
+            dout, drmsnorm_weight, _, dz, *rest = _layer_norm_bwd(dy_rms, x_rms, rmsnorm_weight, None, ctx.rmsnorm_eps, None, rstd, z_rms, norm_before_gate=ctx.norm_before_gate, is_rms_norm=True, recompute_output=recompute_output, dz=dz, out=out1_recompute if recompute_output else None)
+            out_for_linear = out_recompute if recompute_output else None
+            dout = rearrange(dout, "(b s) (h p) -> b s h p", b=batch, p=headdim)
+            dx, ddt, dA, dB, dC, dD, _, ddt_bias, dinitial_states = _mamba_chunk_scan_combined_bwd(
+                dout, x, dt, A, B, C, out, ctx.chunk_size, D=D, z=None, dt_bias=dt_bias, initial_states=initial_states, dfinal_states=dfinal_states, seq_idx=seq_idx, dt_softplus=True, dt_limit=ctx.dt_limit, dx=dx, ddt=ddt_given, dB=dB, dC=dC
+            )
+
+        if outproj_weight is not None:
+            doutproj_weight = torch.einsum("bso,bsd->od", dout_og, out_for_linear)
+            doutproj_bias = dout_og.sum(dim=(0, 1)) if outproj_bias is not None else None
+        else:
+            doutproj_weight, doutproj_bias = None, None
+        dxBC_given = rearrange(dxBC_given, "b s d -> b d s")
+        dxBC_given, dweight, dbias, *_ = causal_conv1d_cuda.causal_conv1d_bwd(
+            rearrange(xBC, "b s d -> b d s"), conv1d_weight, conv1d_bias,
+            rearrange(dxBC, "b s d -> b d s"), seq_idx, None, None, dxBC_given, False, ctx.activation in ["silu", "swish"]
+        )
+        dxBC_given = rearrange(dxBC_given, "b d s -> b s d")
+        return dzxbcdt, dweight, dbias, ddt_bias, dA, dD, None, dinitial_states, None, None, None, None, drmsnorm_weight, None, doutproj_weight, doutproj_bias, None, None, None
+
+
+def mamba_split_conv1d_scan_combined(zxbcdt, conv1d_weight, conv1d_bias, dt_bias, A, D, chunk_size, initial_states=None, seq_idx=None, dt_limit=(0.0, float("inf")), return_final_states=False, activation="silu", rmsnorm_weight=None, rmsnorm_eps=1e-6, outproj_weight=None, outproj_bias=None, headdim=None, ngroups=1, norm_before_gate=True):
+    """
+    Argument:
+        zxbcdt: (batch, seqlen, 2 * dim + 2 * ngroups * dstate + nheads) where dim == nheads * headdim
+        conv1d_weight: (dim + 2 * ngroups * dstate, width)
+        conv1d_bias: (dim + 2 * ngroups * dstate,)
+        dt_bias: (nheads,)
+        A: (nheads)
+        D: (nheads, headdim) or (nheads,)
+        initial_states: (batch, nheads, headdim, dstate)
+        seq_idx: (batch, seqlen), int32
+        rmsnorm_weight: (dim,)
+        outproj_weight: (out_dim, dim)
+        outproj_bias: (out_dim,)
+        headdim: if D is 1D, headdim must be passed in
+        norm_before_gate: if True, we do RMSNorm(x) * F.silu(z). If False, we do RMSNorm(x * F.silu(z))
+    Return:
+        out: (batch, seqlen, dim)
+    """
+    return MambaSplitConv1dScanCombinedFn.apply(zxbcdt, conv1d_weight, conv1d_bias, dt_bias, A, D, chunk_size, initial_states, seq_idx, dt_limit, return_final_states, activation, rmsnorm_weight, rmsnorm_eps, outproj_weight, outproj_bias, headdim, ngroups, norm_before_gate)
+
+
+def mamba_split_conv1d_scan_ref(zxbcdt, conv1d_weight, conv1d_bias, dt_bias, A, D, chunk_size, dt_limit=(0.0, float("inf")), activation="silu", rmsnorm_weight=None, rmsnorm_eps=1e-6, outproj_weight=None, outproj_bias=None, headdim=None, ngroups=1, norm_before_gate=True):
+    """
+    Argument:
+        zxbcdt: (batch, seqlen, 2 * dim + 2 * ngroups * dstate + nheads) where dim == nheads * headdim
+        conv1d_weight: (dim + 2 * ngroups * dstate, width)
+        conv1d_bias: (dim + 2 * ngroups * dstate,)
+        dt_bias: (nheads,)
+        A: (nheads)
+        D: (nheads, headdim) or (nheads,)
+        rmsnorm_weight: (dim,)
+        outproj_weight: (out_dim, dim)
+        outproj_bias: (out_dim,)
+        headdim: if D is 1D, headdim must be passed in
+        norm_before_gate: if True, we do RMSNorm(x) * F.silu(z). If False, we do RMSNorm(x * F.silu(z))
+    Return:
+        out: (batch, seqlen, dim)
+    """
+    if D.dim() == 1:
+        assert headdim is not None
+        nheads, = D.shape
+    else:
+        nheads, headdim = D.shape
+    assert nheads % ngroups == 0
+    batch, seqlen, _ = zxbcdt.shape
+    dim = nheads * headdim
+    dstate = (zxbcdt.shape[-1] - 2 * dim - nheads) // ngroups // 2
+    assert zxbcdt.shape == (batch, seqlen, 2 * dim + 2 * ngroups * dstate + nheads)
+    assert dt_bias.shape == (nheads,)
+    assert A.shape == (nheads,)
+    if rmsnorm_weight is not None:
+        assert rmsnorm_weight.shape == (dim,)
+    z, xBC, dt = torch.split(zxbcdt, [dim, dim + 2 * ngroups * dstate, nheads], dim=-1)
+    xBC = rearrange(causal_conv1d_fn(rearrange(xBC, "b s d -> b d s"), conv1d_weight, conv1d_bias, activation=activation),
+                    "b d s -> b s d")
+    x, B, C = torch.split(xBC, [dim, ngroups * dstate, ngroups * dstate], dim=-1)
+    x = rearrange(x, "b l (h p) -> b l h p", h=nheads)
+    B = rearrange(B, "b l (g n) -> b l g n", g=ngroups)
+    C = rearrange(C, "b l (g n) -> b l g n", g=ngroups)
+    z = rearrange(z, "b l (h p) -> b l h p", h=nheads)
+    out = ssd_selective_scan(x, dt.to(x.dtype), A, B, C, D=D.float(),
+                             z=z if rmsnorm_weight is None else None, dt_bias=dt_bias, dt_softplus=True, dt_limit=dt_limit)
+    out = rearrange(out, "b s h p -> b s (h p)")
+    if rmsnorm_weight is not None:
+        out = rmsnorm_fn(out, rmsnorm_weight, None, z=rearrange(z, "b l h p -> b l (h p)"), eps=rmsnorm_eps,
+                         norm_before_gate=norm_before_gate)
+    if outproj_weight is not None:
+        out = F.linear(out, outproj_weight, outproj_bias)
+    return out
+

mamba/build/lib/mamba_ssm/ops/triton/ssd_state_passing.py

@@ -0,0 +1,348 @@
+# Copyright (c) 2024, Tri Dao, Albert Gu.
+
+"""We want triton==2.1.0 or 2.2.0 for this
+"""
+
+import math
+import torch
+import torch.nn.functional as F
+
+import triton
+import triton.language as tl
+
+from einops import rearrange, repeat
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE': 64}),
+        triton.Config({'BLOCK_SIZE': 128}),
+        triton.Config({'BLOCK_SIZE': 256}),
+        triton.Config({'BLOCK_SIZE': 512}),
+        triton.Config({'BLOCK_SIZE': 1024}),
+        triton.Config({'BLOCK_SIZE': 2048}),
+    ],
+    key=['dim'],
+)
+@triton.jit
+def _state_passing_fwd_kernel(
+    # Pointers to matrices
+    states_ptr, out_ptr, final_states_ptr, dA_cs_ptr, initstates_ptr, seq_idx_ptr,
+    # Matrix dimensions
+    dim, nchunks, seqlen, chunk_size,
+    # Strides
+    stride_states_batch, stride_states_chunk, stride_states_head, stride_states_dim,
+    stride_out_batch, stride_out_chunk, stride_out_head, stride_out_dim,
+    stride_final_states_batch, stride_final_states_head, stride_final_states_dim,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head,
+    stride_initstates_batch, stride_initstates_head, stride_initstates_dim,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    # Meta-parameters
+    HAS_INITSTATES: tl.constexpr,
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=1)
+    pid_h = tl.program_id(axis=2)
+    pid_m = tl.program_id(axis=0)
+    states_ptr += pid_b * stride_states_batch + pid_h * stride_states_head
+    dA_cs_ptr += pid_b * stride_dA_cs_batch + pid_h * stride_dA_cs_head
+    out_ptr += pid_b * stride_out_batch + pid_h * stride_out_head
+    final_states_ptr += pid_b * stride_final_states_batch + pid_h * stride_final_states_head
+    if HAS_INITSTATES:
+        initstates_ptr += pid_b * stride_initstates_batch + pid_h * stride_initstates_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch
+
+    offs_m = pid_m * BLOCK_SIZE + tl.arange(0, BLOCK_SIZE)
+    states_ptrs = states_ptr + offs_m * stride_states_dim
+    out_ptrs = out_ptr + offs_m * stride_out_dim
+    final_states_ptrs = final_states_ptr + offs_m * stride_final_states_dim
+
+    if not HAS_INITSTATES:
+        states = tl.zeros((BLOCK_SIZE, ), dtype=tl.float32)
+    else:
+        initstates_ptrs = initstates_ptr + offs_m * stride_initstates_dim
+        states = tl.load(initstates_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+    tl.store(out_ptrs, states, mask=offs_m < dim)
+    out_ptrs += stride_out_chunk
+    seq_idx = 0
+    for c in range(nchunks):
+        new_states = tl.load(states_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        dA_cs = tl.load(dA_cs_ptr).to(tl.float32)
+        scale = tl.exp(dA_cs)
+        if HAS_SEQ_IDX:
+            seq_idx_new = tl.load(seq_idx_ptr + (min((c + 1) * chunk_size, seqlen) - 1) * stride_seq_idx_seqlen)
+            scale = tl.where(seq_idx_new == seq_idx, scale, 0.0)
+            seq_idx = seq_idx_new
+        states = scale * states + new_states
+        if c < nchunks - 1:
+            tl.store(out_ptrs, states, mask=offs_m < dim)
+        else:
+            tl.store(final_states_ptrs, states, mask=offs_m < dim)
+        states_ptrs += stride_states_chunk
+        dA_cs_ptr += stride_dA_cs_chunk
+        out_ptrs += stride_out_chunk
+
+
+@triton.autotune(
+    configs=[
+        triton.Config({'BLOCK_SIZE': 64}),
+        triton.Config({'BLOCK_SIZE': 128}),
+        triton.Config({'BLOCK_SIZE': 256}),
+        triton.Config({'BLOCK_SIZE': 512}),
+        triton.Config({'BLOCK_SIZE': 1024}),
+        triton.Config({'BLOCK_SIZE': 2048}),
+    ],
+    key=['dim'],
+)
+@triton.jit
+def _state_passing_bwd_kernel(
+    # Pointers to matrices
+    dout_ptr, out_ptr, dA_cs_ptr, dfinal_states_ptr, seq_idx_ptr,
+    dstates_ptr, ddA_cs_ptr, dinitstates_ptr, states_converted_ptr,
+    # Matrix dimensions
+    dim, nchunks, seqlen, chunk_size,
+    # Strides
+    stride_dout_batch, stride_dout_chunk, stride_dout_head, stride_dout_dim,
+    stride_out_batch, stride_out_chunk, stride_out_head, stride_out_dim,
+    stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head,
+    stride_dfinal_states_batch, stride_dfinal_states_head, stride_dfinal_states_dim,
+    stride_seq_idx_batch, stride_seq_idx_seqlen,
+    stride_dstates_batch, stride_dstates_chunk, stride_dstates_head, stride_dstates_dim,
+    stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head,
+    stride_dinitstates_batch, stride_dinitstates_head, stride_dinitstates_dim,
+    # Meta-parameters
+    CONVERT_STATES: tl.constexpr,
+    HAS_DFINAL_STATES: tl.constexpr,
+    HAS_DINITSTATES: tl.constexpr,
+    HAS_SEQ_IDX: tl.constexpr,
+    BLOCK_SIZE: tl.constexpr,
+):
+    pid_b = tl.program_id(axis=1)
+    pid_h = tl.program_id(axis=2)
+    pid_m = tl.program_id(axis=0)
+    dstates_ptr += pid_b * stride_dstates_batch + pid_h * stride_dstates_head + (nchunks - 1) * stride_dstates_chunk
+    dA_cs_ptr += pid_b * stride_dA_cs_batch + pid_h * stride_dA_cs_head + (nchunks - 1) * stride_dA_cs_chunk
+    ddA_cs_ptr += pid_b * stride_ddA_cs_batch + pid_h * stride_ddA_cs_head + (nchunks - 1) * stride_ddA_cs_chunk + pid_m
+    out_ptr += pid_b * stride_out_batch + pid_h * stride_out_head + (nchunks - 1) * stride_out_chunk
+    dout_ptr += pid_b * stride_dout_batch + pid_h * stride_dout_head + (nchunks - 1) * stride_dout_chunk
+    if CONVERT_STATES:
+        states_converted_ptr += pid_b * stride_out_batch + pid_h * stride_out_head + (nchunks - 1) * stride_out_chunk
+    if HAS_DFINAL_STATES:
+        dfinal_states_ptr += pid_b * stride_dfinal_states_batch + pid_h * stride_dfinal_states_head
+    if HAS_DINITSTATES:
+        dinitstates_ptr += pid_b * stride_dinitstates_batch + pid_h * stride_dinitstates_head
+    if HAS_SEQ_IDX:
+        seq_idx_ptr += pid_b * stride_seq_idx_batch
+
+    offs_m = pid_m * BLOCK_SIZE + tl.arange(0, BLOCK_SIZE)
+    dstates_ptrs = dstates_ptr + offs_m * stride_dstates_dim
+    out_ptrs = out_ptr + offs_m * stride_out_dim
+    dout_ptrs = dout_ptr + offs_m * stride_dout_dim
+    if CONVERT_STATES:
+        states_converted_ptrs = states_converted_ptr + offs_m * stride_out_dim
+
+    if HAS_DFINAL_STATES:
+        dstates = tl.load(dfinal_states_ptr + offs_m * stride_dfinal_states_dim, mask=offs_m < dim, other=0.0).to(tl.float32)
+    else:
+        dstates = tl.zeros((BLOCK_SIZE, ), dtype=tl.float32)
+    tl.store(dstates_ptrs, dstates, mask=offs_m < dim)
+    if HAS_SEQ_IDX:
+        seq_idx = tl.load(seq_idx_ptr + (seqlen - 1) * stride_seq_idx_seqlen)
+    dstates_ptrs -= stride_dstates_chunk
+    for c in range(nchunks - 1):
+        dA_cs = tl.load(dA_cs_ptr).to(tl.float32)
+        scale = tl.exp(dA_cs)
+        if HAS_SEQ_IDX:
+            seq_idx_new = tl.load(seq_idx_ptr + (((nchunks - c - 1) * chunk_size - 1) * stride_seq_idx_seqlen))
+            scale = tl.where(seq_idx_new == seq_idx, scale, 0.0)
+            seq_idx = seq_idx_new
+        out = tl.load(out_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        if CONVERT_STATES:
+            tl.store(states_converted_ptrs, out, mask=offs_m < dim)
+        ddA = tl.sum(out * dstates) * scale
+        tl.store(ddA_cs_ptr, ddA)
+        dout = tl.load(dout_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        dstates = scale * dstates + dout
+        tl.store(dstates_ptrs, dstates, mask=offs_m < dim)
+        dout_ptrs -= stride_dout_chunk
+        dstates_ptrs -= stride_dstates_chunk
+        dA_cs_ptr -= stride_dA_cs_chunk
+        ddA_cs_ptr -= stride_ddA_cs_chunk
+        out_ptrs -= stride_out_chunk
+        if CONVERT_STATES:
+            states_converted_ptrs -= stride_out_chunk
+    if CONVERT_STATES:
+        out = tl.load(out_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        tl.store(states_converted_ptrs, out, mask=offs_m < dim)
+    if not HAS_DINITSTATES:
+        tl.store(ddA_cs_ptr, 0.0)
+    else:
+        dA_cs = tl.load(dA_cs_ptr).to(tl.float32)
+        scale = tl.exp(dA_cs)
+        if HAS_SEQ_IDX:
+            scale = tl.where(seq_idx == 0, scale, 0.0)
+        out = tl.load(out_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        ddA = tl.sum(out * dstates) * scale
+        tl.store(ddA_cs_ptr, ddA)
+        dout = tl.load(dout_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32)
+        dstates = scale * dstates + dout
+        tl.store(dinitstates_ptr + offs_m * stride_dinitstates_dim, dstates, mask=offs_m < dim)
+
+
+def _state_passing_fwd(states, dA_chunk_cumsum, initial_states=None, seq_idx=None, chunk_size=None,
+                       out_dtype=None):
+    batch, nchunks, nheads, dim = states.shape
+    assert dA_chunk_cumsum.shape == (batch, nheads, nchunks)
+    if initial_states is not None:
+        assert initial_states.shape == (batch, nheads, dim)
+    if seq_idx is not None:
+        assert chunk_size is not None
+        seqlen = seq_idx.shape[-1]
+        assert seq_idx.shape == (batch, seqlen)
+    out_dtype = states.dtype if out_dtype is None else out_dtype
+    out = torch.empty((batch, nchunks, nheads, dim), device=states.device, dtype=out_dtype)
+    final_states = torch.empty((batch, nheads, dim), device=states.device, dtype=torch.float32)
+    grid = lambda META: (triton.cdiv(dim, META['BLOCK_SIZE']), batch, nheads)
+    with torch.cuda.device(states.device.index):
+        _state_passing_fwd_kernel[grid](
+            states, out, final_states, dA_chunk_cumsum, initial_states, seq_idx,
+            dim, nchunks, seqlen if seq_idx is not None else 0, chunk_size if seq_idx is not None else 0,
+            states.stride(0), states.stride(1), states.stride(2), states.stride(3),
+            out.stride(0), out.stride(1), out.stride(2), out.stride(3),
+            final_states.stride(0), final_states.stride(1), final_states.stride(2),
+            dA_chunk_cumsum.stride(0), dA_chunk_cumsum.stride(2), dA_chunk_cumsum.stride(1),
+            *((initial_states.stride(0), initial_states.stride(1), initial_states.stride(2))
+              if initial_states is not None else (0, 0, 0)),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            HAS_INITSTATES=initial_states is not None,
+            HAS_SEQ_IDX=seq_idx is not None,
+        )
+    return out, final_states
+
+
+def _state_passing_bwd(
+        states, dA_chunk_cumsum, dout, dfinal_states=None, seq_idx=None, has_initial_states=None,
+        dstates_dtype=None, states_dtype=None, chunk_size=None
+):
+    """
+    states contains the initial_states at index 0. The final states are not included in states.
+    """
+    batch, nchunks, nheads, dim = states.shape
+    assert dA_chunk_cumsum.shape == (batch, nheads, nchunks)
+    assert dout.shape == (batch, nchunks, nheads, dim)
+    if seq_idx is not None:
+        assert chunk_size is not None
+        seqlen = seq_idx.shape[-1]
+        assert seq_idx.shape == (batch, seqlen)
+    dstates = torch.empty_like(dout, dtype=dstates_dtype if dstates_dtype is not None else dout.dtype)
+    if states_dtype is not None and states_dtype != states.dtype:
+        states_converted = torch.empty_like(states, dtype=dstates_dtype if dstates_dtype is not None else dout.dtype)
+        assert states_converted.stride() == states.stride()
+    else:
+        states_converted = None
+    if has_initial_states:
+        dinitstates = torch.empty_like(dstates[:, 0])
+    else:
+        dinitstates = None
+    if dfinal_states is not None:
+        assert dfinal_states.shape == (batch, nheads, dim)
+    BLOCK_SIZE_min = 64
+    n_blocks = (dim + BLOCK_SIZE_min - 1) // BLOCK_SIZE_min
+    ddA_chunk_cumsum = torch.empty(batch, nheads, nchunks, n_blocks,
+                                    dtype=torch.float32, device=dA_chunk_cumsum.device)
+    grid = lambda META: (triton.cdiv(dim, META['BLOCK_SIZE']), batch, nheads)
+    with torch.cuda.device(dout.device.index):
+        _state_passing_bwd_kernel[grid](
+            dout, states, dA_chunk_cumsum, dfinal_states, seq_idx,
+            dstates, ddA_chunk_cumsum, dinitstates, states_converted,
+            dim, nchunks, seqlen if seq_idx is not None else 0, chunk_size if seq_idx is not None else 0,
+            dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3),
+            states.stride(0), states.stride(1), states.stride(2), states.stride(3),
+            dA_chunk_cumsum.stride(0), dA_chunk_cumsum.stride(2), dA_chunk_cumsum.stride(1),
+            *((dfinal_states.stride(0), dfinal_states.stride(1), dfinal_states.stride(2))
+                if dfinal_states is not None else (0, 0, 0)),
+            *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)),
+            dstates.stride(0), dstates.stride(1), dstates.stride(2), dstates.stride(3),
+            ddA_chunk_cumsum.stride(0), ddA_chunk_cumsum.stride(2), ddA_chunk_cumsum.stride(1),
+            *((dinitstates.stride(0), dinitstates.stride(1), dinitstates.stride(2))
+              if dinitstates is not None else (0, 0, 0)),
+            CONVERT_STATES=states_converted is not None,
+            HAS_DFINAL_STATES=dfinal_states is not None,
+            HAS_DINITSTATES=dinitstates is not None,
+            HAS_SEQ_IDX=seq_idx is not None,
+        )
+    BLOCK_SIZE_actual = _state_passing_bwd_kernel.best_config.kwargs["BLOCK_SIZE"]
+    n_valid_blocks = (dim + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual
+    ddA_chunk_cumsum = ddA_chunk_cumsum[..., :n_valid_blocks].sum(dim=-1).to(dtype=dA_chunk_cumsum.dtype)
+    if states_dtype is not None and states_dtype == states.dtype:
+        states_converted = states
+    return (dstates, ddA_chunk_cumsum, dinitstates) if states_dtype is None else (dstates, ddA_chunk_cumsum, dinitstates, states_converted)
+
+
+class StatePassingFn(torch.autograd.Function):
+
+    @staticmethod
+    def forward(ctx, states, dA_chunk_cumsum, initial_states=None):
+        batch, nchunks, nheads, dim = states.shape
+        assert dA_chunk_cumsum.shape == (batch, nheads, nchunks)
+        if states.stride(-1) != 1:
+            states = states.contiguous()
+        out, final_states = _state_passing_fwd(states, dA_chunk_cumsum, initial_states)
+        ctx.save_for_backward(out, dA_chunk_cumsum)
+        ctx.has_initial_states = initial_states is not None
+        return out, final_states
+
+    @staticmethod
+    def backward(ctx, dout, dfinal_states):
+        out, dA_chunk_cumsum = ctx.saved_tensors
+        batch, nchunks, nheads, dim = out.shape
+        assert dout.shape == (batch, nchunks, nheads, dim)
+        assert dA_chunk_cumsum.shape == (batch, nheads, nchunks)
+        assert dfinal_states.shape == (batch, nheads, dim)
+        if dout.stride(-1) != 1:
+            dout = dout.contiguous()
+        dstates, ddA_chunk_cumsum, dinitstates = _state_passing_bwd(
+            out, dA_chunk_cumsum, dout, dfinal_states=dfinal_states , has_initial_states=ctx.has_initial_states
+        )
+        return dstates, ddA_chunk_cumsum, dinitstates
+
+
+def state_passing(states, dA_chunk_cumsum, initial_states=None):
+    """
+    Argument:
+        states: (batch, nchunks, nheads, dim)
+        dA_chunk_cumsum: (batch, nheads, nchunks)
+        initial_states: (batch, nheads, dim)
+    Return:
+        out: (batch, nchunks, nheads, dim)
+        final_states: (batch, nheads, dim)
+    """
+    return StatePassingFn.apply(states, dA_chunk_cumsum, initial_states)
+
+
+def state_passing_ref(states, dA_chunk_cumsum, initial_states=None):
+    """
+    Argument:
+        states: (batch, nchunks, nheads, dim)
+        dA_chunk_cumsum: (batch, nheads, nchunks)
+        initial_states: (batch, nheads, dim)
+    Return:
+        out: (batch, nchunks, nheads, dim)
+        final_states: (batch, nheads, dim)
+    """
+    if initial_states is None:
+        initial_states = torch.zeros_like(states[:, 0])
+    states = torch.cat([rearrange(initial_states, "b h d -> b 1 h d"), states], dim=1)
+    dA_chunk_cumsum = F.pad(dA_chunk_cumsum, (1, 0))
+    dA_chunk_cumsum = torch.cumsum(dA_chunk_cumsum, dim=-1)
+    nchunks = dA_chunk_cumsum.shape[-1]
+    # (batch, nheads, nchunks, nchunks)
+    dt_chunk_segment_sum = dA_chunk_cumsum[:, :, :, None] - dA_chunk_cumsum[:, :, None, :]
+    # (batch, nheads, nchunks, nchunks)
+    decay_chunk = torch.exp(dt_chunk_segment_sum)
+    causal_mask = torch.tril(torch.ones(nchunks, nchunks, device=states.device, dtype=bool), diagonal=0)
+    decay_chunk = decay_chunk.masked_fill(~causal_mask, 0)
+    out = torch.einsum("bhzc,bchd->bzhd", decay_chunk.to(dtype=states.dtype), states)
+    return out[:, :-1], out[:, -1]

mamba/build/lib/mamba_ssm/utils/generation.py

@@ -0,0 +1,387 @@
+# Copyright (c) 2023, Albert Gu, Tri Dao.
+import gc
+import time
+from collections import namedtuple
+from dataclasses import dataclass, field
+from functools import partial
+from typing import Callable, Optional, Sequence, Union
+
+import torch
+import torch.nn.functional as F
+from einops import rearrange, repeat
+from torch import Tensor
+from torch.profiler import ProfilerActivity, profile, record_function
+from transformers.generation import GreedySearchDecoderOnlyOutput, SampleDecoderOnlyOutput, TextStreamer
+
+
+@dataclass
+class InferenceParams:
+    """Inference parameters that are passed to the main model in order
+    to efficienly calculate and store the context during inference."""
+
+    max_seqlen: int
+    max_batch_size: int
+    seqlen_offset: int = 0
+    batch_size_offset: int = 0
+    key_value_memory_dict: dict = field(default_factory=dict)
+    lengths_per_sample: Optional[Tensor] = None
+
+    def reset(self, max_seqlen, max_batch_size):
+        self.max_seqlen = max_seqlen
+        self.max_batch_size = max_batch_size
+        self.seqlen_offset = 0
+        if self.lengths_per_sample is not None:
+            self.lengths_per_sample.zero_()
+
+
+def modify_logits_for_min_p_filtering(logits, min_p):
+    """Set the logits for none min_p values to -inf. Done in-place."""
+    if min_p <= 0.0 or min_p >= 1.0:
+        return
+    indices_to_remove = logits < min_p
+    logits.masked_fill_(indices_to_remove, float("-Inf"))
+# https://github.com/NVIDIA/Megatron-LM/blob/0bb597b42c53355a567aba2a1357cc34b9d99ddd/megatron/text_generation/sampling.py
+# https://github.com/huggingface/transformers/blob/a44985b41cfa2de48a5e1de7f1f93b7483da25d1/src/transformers/generation/logits_process.py#L231
+def modify_logits_for_top_k_filtering(logits, top_k):
+    """Set the logits for none top-k values to -inf. Done in-place."""
+    indices_to_remove = logits < torch.topk(logits, top_k)[0][..., -1, None]
+    logits.masked_fill_(indices_to_remove, float("-Inf"))
+
+
+# https://github.com/NVIDIA/Megatron-LM/blob/0bb597b42c53355a567aba2a1357cc34b9d99ddd/megatron/text_generation/sampling.py
+# https://github.com/huggingface/transformers/blob/a44985b41cfa2de48a5e1de7f1f93b7483da25d1/src/transformers/generation/logits_process.py#L170
+def modify_logits_for_top_p_filtering(logits, top_p):
+    """Set the logits for none top-p values to -inf. Done in-place."""
+    if top_p <= 0.0 or top_p >= 1.0:
+        return
+    # First sort and calculate cumulative sum of probabilities.
+    sorted_logits, sorted_indices = torch.sort(logits, descending=False)
+    cumulative_probs = sorted_logits.softmax(dim=-1).cumsum(dim=-1)
+    # Remove tokens with cumulative top_p above the threshold (token with 0 are kept)
+    sorted_indices_to_remove = cumulative_probs <= (1 - top_p)
+    # scatter sorted tensors to original indexing
+    indices_to_remove = sorted_indices_to_remove.scatter(
+        1, sorted_indices, sorted_indices_to_remove
+    )
+    logits.masked_fill_(indices_to_remove, float("-inf"))
+
+
+def modify_logit_for_repetition_penalty(logits, prev_output_tokens, repetition_penalty=1.0):
+    """Apply repetition penalty. See https://arxiv.org/abs/1909.05858
+    logits: (batch_size, vocab_size)
+    prev_output_tokens: (batch_size, seq_len)
+    """
+    if repetition_penalty == 1.0:
+        return logits
+    score = torch.gather(logits, 1, prev_output_tokens)
+    # if score < 0 then repetition penalty has to be multiplied to reduce the previous token probability
+    score = torch.where(score < 0, score * repetition_penalty, score / repetition_penalty)
+    logits.scatter_(1, prev_output_tokens, score)
+    return logits
+
+
+def sample(logits, top_k=1, top_p=0.0, min_p=0.0, temperature=1.0):
+    """Sample from top-k logits.
+    Arguments:
+        logits: Tensor of shape (batch_size, vocab_size)
+    """
+    if top_k == 1:  # Short-circuit for greedy decoding
+        return logits.argmax(dim=-1)
+    else:
+        if top_p > 0.0:
+            assert top_p <= 1.0, "top-p should be in (0, 1]."
+        if top_k > 0:
+            top_k = min(top_k, logits.size(-1))  # Safety check
+            logits_top, indices = torch.topk(logits, top_k, dim=-1)
+            if temperature != 1.0:
+                logits_top /= temperature
+            modify_logits_for_top_p_filtering(logits_top, top_p)
+            return indices[
+                torch.arange(indices.shape[0], device=indices.device),
+                torch.multinomial(torch.softmax(logits_top, dim=-1), num_samples=1).squeeze(dim=-1),
+            ]
+        else:
+            if min_p > 0.0:
+                logits_top = logits.clone()
+                max_prob = logits_top[..., 0].item()
+                min_prob = max_prob * min_p
+                modify_logits_for_min_p_filtering(logits_top, min_prob)
+                if temperature != 1.0:
+                    logits_top /= temperature
+                return torch.multinomial(torch.softmax(logits_top, dim=-1), num_samples=1).squeeze(dim=-1)
+            # Clone so that when we modify for top_p we don't change the original logits
+            logits_top = logits / temperature if temperature != 1.0 else logits.clone()
+            modify_logits_for_top_p_filtering(logits_top, top_p)
+            return torch.multinomial(torch.softmax(logits_top, dim=-1), num_samples=1).squeeze(
+                dim=-1
+            )
+
+
+@torch.inference_mode()
+def decode(
+    input_ids,
+    model,
+    max_length,
+    top_k=1,
+    top_p=0.0,
+    min_p=0.0,
+    temperature=1.0,
+    repetition_penalty=1.0,
+    eos_token_id=None,
+    teacher_outputs=None,
+    vocab_size=None,
+    cg=False,
+    enable_timing=False,
+    streamer: Optional[TextStreamer] = None
+):
+    """Decoding, either greedy or with top-k or top-p sampling.
+    If top-k = 0, don't limit the number of candidates (pure sampling).
+    Top-k and top-p can be used together. If top_k > 0 and top_p > 0, then top-k is applied first,
+    then top-p.
+    We assume that all sequences in the same batch have the same length.
+
+    Arguments:
+        input_ids: (batch, seq_len)
+        max_length: int
+        teacher_outputs (optional): (batch, seq_len). If provided, instead of sampling from the
+            logits, the next token is taken from the teacher_outputs. Useful for testing.
+    Returns: GreedySearchDecoderOnlyOutput or SampleDecoderOnlyOutput, with the following fields:
+        sequences: (batch, max_length)
+        scores: tuples of (batch, vocab_size)
+    """
+    if streamer is not None:
+        streamer.put(input_ids.cpu())
+
+    batch_size, seqlen_og = input_ids.shape
+    teacher_output_len = teacher_outputs.shape[1] if teacher_outputs is not None else 0
+    if cg:
+        if not hasattr(model, "_decoding_cache"):
+            model._decoding_cache = None
+        model._decoding_cache = update_graph_cache(
+            model,
+            model._decoding_cache,
+            batch_size,
+            seqlen_og,
+            max_length,
+        )
+        inference_params = model._decoding_cache.inference_params
+        inference_params.reset(max_length, batch_size)
+    else:
+        inference_params = InferenceParams(max_seqlen=max_length, max_batch_size=batch_size)
+
+    def get_logits(input_ids, inference_params):
+        decoding = inference_params.seqlen_offset > 0
+        if decoding:
+            position_ids = torch.full(
+                (batch_size, 1),
+                inference_params.seqlen_offset,
+                dtype=torch.long,
+                device=input_ids.device,
+            )
+        else:
+            position_ids = None
+        if not cg or not decoding:
+            logits = model(
+                input_ids,
+                position_ids=position_ids,
+                inference_params=inference_params,
+                num_last_tokens=1,
+            ).logits.squeeze(dim=1)
+        else:
+            logits = model._decoding_cache.run(
+                input_ids, position_ids, inference_params.seqlen_offset
+            ).squeeze(dim=1)
+        return logits[..., :vocab_size] if vocab_size is not None else logits
+
+    def sample_tokens(logits, inference_params):
+        if teacher_outputs is None or teacher_output_len <= inference_params.seqlen_offset:
+            token = sample(logits, top_k=top_k, top_p=top_p, min_p=min_p, temperature=temperature)
+        else:
+            token = teacher_outputs[:, inference_params.seqlen_offset]
+        # return rearrange(token, "b -> b 1")
+        return token.unsqueeze(1)
+
+    def should_stop(current_token, inference_params):
+        if inference_params.seqlen_offset == 0:
+            return False
+        if eos_token_id is not None and (current_token == eos_token_id).all():
+            return True
+        if inference_params.seqlen_offset >= max_length - 1:
+            return True
+        return False
+
+    start = torch.cuda.Event(enable_timing=enable_timing)
+    end = torch.cuda.Event(enable_timing=enable_timing)
+
+    if enable_timing:
+        start.record()
+    scores, sequences = [], [input_ids]
+    sequences_cat = input_ids
+    while not should_stop(sequences[-1], inference_params):
+        scores.append(get_logits(sequences[-1], inference_params))
+        inference_params.seqlen_offset += sequences[-1].shape[1]
+        if repetition_penalty == 1.0:
+            sampled_tokens = sample_tokens(scores[-1], inference_params)
+        else:
+            logits = modify_logit_for_repetition_penalty(
+                scores[-1].clone(), sequences_cat, repetition_penalty
+            )
+            sampled_tokens = sample_tokens(logits, inference_params)
+            sequences_cat = torch.cat([sequences_cat, sampled_tokens], dim=1)
+        sequences.append(sampled_tokens)
+        if streamer is not None:
+            streamer.put(sampled_tokens.cpu())
+    if streamer is not None:
+        streamer.end()
+    if enable_timing:
+        end.record()
+        torch.cuda.synchronize()
+        print(f"Prompt processing + decoding time: {(start.elapsed_time(end)):.0f}ms")
+    output_cls = GreedySearchDecoderOnlyOutput if top_k == 1 else SampleDecoderOnlyOutput
+    return output_cls(sequences=torch.cat(sequences, dim=1), scores=tuple(scores))
+
+
+class GenerationMixin:
+    def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs):
+        raise NotImplementedError
+
+    def generate(
+        self,
+        input_ids,
+        max_length,
+        top_k=1,
+        top_p=0.0,
+        min_p=0.0,
+        temperature=1.0,
+        return_dict_in_generate=False,
+        output_scores=False,
+        **kwargs,
+    ):
+        output = decode(
+            input_ids, self, max_length, top_k=top_k, top_p=top_p, min_p = min_p, temperature=temperature, **kwargs
+        )
+        if not output_scores:
+            output.scores = None
+        return output if return_dict_in_generate else output.sequences
+
+
+@dataclass
+class DecodingCGCache:
+    max_batch_size: int = 0
+    max_seqlen: int = 0
+    device = None
+    dtype = None
+    callables: dict = field(default_factory=dict)
+    mempool = None
+    inference_params: Optional[InferenceParams] = None
+    run: Optional[Callable] = None
+
+
+@torch.inference_mode()
+def update_graph_cache(
+    model,
+    cache,
+    batch_size,
+    seqlen_og,
+    max_seqlen,
+    decoding_seqlens=(1,),
+    dtype=None,
+    n_warmups=2,
+):
+    if cache is None:
+        cache = DecodingCGCache()
+    param_example = next(iter(model.parameters()))
+    device = param_example.device
+    if dtype is None:
+        dtype = param_example.dtype
+    if (
+        (device, dtype) != (cache.device, cache.dtype)
+        or batch_size > cache.max_batch_size
+        or max_seqlen > cache.max_seqlen
+    ):  # Invalidate the cache
+        cache.callables = {}
+        cache.mempool = None
+        cache.inference_params = None
+        gc.collect()
+        cache.device, cache.dtype = device, dtype
+        cache.max_batch_size, cache.max_seqlen = batch_size, max_seqlen
+        assert hasattr(model, "allocate_inference_cache"), "CUDA graph decoding requires that the model has a method allocate_inference_cache"
+        inf_cache = model.allocate_inference_cache(batch_size, max_seqlen, dtype)
+        lengths_per_sample = torch.full((batch_size,), seqlen_og, dtype=torch.int32, device=device)
+        cache.inference_params = InferenceParams(
+            max_seqlen=max_seqlen,
+            max_batch_size=batch_size,
+            seqlen_offset=seqlen_og,
+            key_value_memory_dict=inf_cache,
+            lengths_per_sample=lengths_per_sample,
+        )
+        cache.mempool = torch.cuda.graphs.graph_pool_handle()
+    for decoding_seqlen in decoding_seqlens:
+        if (batch_size, decoding_seqlen) not in cache.callables:
+            cache.callables[batch_size, decoding_seqlen] = capture_graph(
+                model,
+                cache.inference_params,
+                batch_size,
+                max_seqlen,
+                decoding_seqlen=decoding_seqlen,
+                mempool=cache.mempool,
+                n_warmups=n_warmups,
+            )
+
+    def dispatch(input_ids, position_ids, seqlen):
+        batch_size, decoding_seqlen = input_ids.shape[:2]
+        return cache.callables[batch_size, decoding_seqlen](input_ids, position_ids, seqlen)
+
+    cache.run = dispatch
+    cache.inference_params.seqlen_offset = 0  # Reset so it's not confusing
+    return cache
+
+
+def capture_graph(
+    model, inference_params, batch_size, max_seqlen, decoding_seqlen=1, mempool=None, n_warmups=2
+):
+    device = next(iter(model.parameters())).device
+    input_ids = torch.full((batch_size, decoding_seqlen), 0, dtype=torch.long, device=device)
+    position_ids = torch.full((batch_size, decoding_seqlen), 0, dtype=torch.long, device=device)
+    seqlen_offset_og = inference_params.seqlen_offset
+    inference_params.seqlen_offset = max_seqlen - decoding_seqlen
+    inference_params.lengths_per_sample[:] = inference_params.seqlen_offset
+
+    # Warmup before capture
+    s = torch.cuda.Stream()
+    s.wait_stream(torch.cuda.current_stream())
+    with torch.cuda.stream(s):
+        for _ in range(n_warmups):
+            logits = model(
+                input_ids,
+                position_ids=position_ids,
+                inference_params=inference_params,
+                num_last_tokens=decoding_seqlen,
+            ).logits
+        s.synchronize()
+        # This might be needed for correctness if we run with NCCL_GRAPH_MIXING_SUPPORT=0,
+        # which requires that graph launch and non-captured launch to not overlap (I think,
+        # that's how I interpret the documentation). I'm not sure if this is required.
+        if torch.distributed.is_initialized():
+            torch.distributed.barrier()
+    torch.cuda.current_stream().wait_stream(s)
+    # Captures the graph
+    # To allow capture, automatically sets a side stream as the current stream in the context
+    graph = torch.cuda.CUDAGraph()
+    with torch.cuda.graph(graph, pool=mempool):
+        logits = model(
+            input_ids,
+            position_ids=position_ids,
+            inference_params=inference_params,
+            num_last_tokens=decoding_seqlen,
+        ).logits
+
+    def run(new_input_ids, new_position_ids, seqlen):
+        inference_params.lengths_per_sample[:] = seqlen
+        input_ids.copy_(new_input_ids)
+        position_ids.copy_(new_position_ids)
+        graph.replay()
+        return logits.clone()
+
+    inference_params.seqlen_offset = seqlen_offset_og
+    return run

mamba/build/lib/mamba_ssm/utils/hf.py

@@ -0,0 +1,23 @@
+import json
+
+import torch
+
+from transformers.utils import WEIGHTS_NAME, CONFIG_NAME
+from transformers.utils.hub import cached_file
+
+
+def load_config_hf(model_name):
+    resolved_archive_file = cached_file(model_name, CONFIG_NAME, _raise_exceptions_for_missing_entries=False)
+    return json.load(open(resolved_archive_file))
+
+
+def load_state_dict_hf(model_name, device=None, dtype=None):
+    # If not fp32, then we don't want to load directly to the GPU
+    mapped_device = "cpu" if dtype not in [torch.float32, None] else device
+    resolved_archive_file = cached_file(model_name, WEIGHTS_NAME, _raise_exceptions_for_missing_entries=False)
+    return torch.load(resolved_archive_file, map_location=mapped_device)
+    # Convert dtype before moving to GPU to save memory
+    if dtype is not None:
+        state_dict = {k: v.to(dtype=dtype) for k, v in state_dict.items()}
+    state_dict = {k: v.to(device=device) for k, v in state_dict.items()}
+    return state_dict

mamba/csrc/selective_scan/reverse_scan.cuh

@@ -0,0 +1,415 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+#pragma once
+
+#ifndef USE_ROCM
+    #include <cub/config.cuh>
+    
+    #include <cub/util_ptx.cuh>
+    #include <cub/util_type.cuh>
+    #include <cub/block/block_raking_layout.cuh>
+    // #include <cub/detail/uninitialized_copy.cuh>
+#else
+    #include <hipcub/hipcub.hpp>
+    namespace cub = hipcub;
+#endif
+#include "uninitialized_copy.cuh"
+
+/**
+ * Perform a reverse sequential reduction over \p LENGTH elements of the \p input array.  The aggregate is returned.
+ */
+template <
+    int         LENGTH,
+    typename    T,
+    typename    ReductionOp>
+__device__ __forceinline__ T ThreadReverseReduce(const T (&input)[LENGTH], ReductionOp reduction_op) {
+    static_assert(LENGTH > 0);
+    T retval = input[LENGTH - 1];
+    #pragma unroll
+    for (int i = LENGTH - 2; i >= 0; --i) { retval = reduction_op(retval, input[i]); }
+    return retval;
+}
+
+/**
+ * Perform a sequential inclusive postfix reverse scan over the statically-sized \p input array, seeded with the specified \p postfix.  The aggregate is returned.
+ */
+template <
+    int         LENGTH,
+    typename    T,
+    typename    ScanOp>
+__device__ __forceinline__ T ThreadReverseScanInclusive(
+    const T (&input)[LENGTH],
+    T (&output)[LENGTH],
+    ScanOp scan_op,
+    const T postfix)
+{
+    T inclusive = postfix;
+    #pragma unroll
+    for (int i = LENGTH - 1; i >= 0; --i) {
+        inclusive = scan_op(inclusive, input[i]);
+        output[i] = inclusive;
+    }
+    return inclusive; 
+}
+
+/**
+ * Perform a sequential exclusive postfix reverse scan over the statically-sized \p input array, seeded with the specified \p postfix.  The aggregate is returned.
+ */
+template <
+    int         LENGTH,
+    typename    T,
+    typename    ScanOp>
+__device__ __forceinline__ T ThreadReverseScanExclusive(
+    const T (&input)[LENGTH],
+    T (&output)[LENGTH],
+    ScanOp scan_op,
+    const T postfix)
+{
+    // Careful, output maybe be aliased to input
+    T exclusive = postfix;
+    T inclusive;
+    #pragma unroll
+    for (int i = LENGTH - 1; i >= 0; --i) {
+        inclusive = scan_op(exclusive, input[i]);
+        output[i] = exclusive;
+        exclusive = inclusive;
+    }
+    return inclusive;
+}
+
+
+/**
+ * \brief WarpReverseScan provides SHFL-based variants of parallel postfix scan of items partitioned across a CUDA thread warp.
+ *
+ * LOGICAL_WARP_THREADS must be a power-of-two
+ */
+template <
+    typename    T,                      ///< Data type being scanned
+    int         LOGICAL_WARP_THREADS    ///< Number of threads per logical warp
+    >
+struct WarpReverseScan {
+    //---------------------------------------------------------------------
+    // Constants and type definitions
+    //---------------------------------------------------------------------
+
+    /// Whether the logical warp size and the PTX warp size coincide
+
+    // In hipcub, warp_threads is defined as HIPCUB_WARP_THREADS ::rocprim::warp_size()
+    // While in cub, it's defined as a macro that takes a redundant unused argument.
+    #ifndef USE_ROCM
+        #define WARP_THREADS CUB_WARP_THREADS(0)
+    #else
+        #define WARP_THREADS HIPCUB_WARP_THREADS
+    #endif
+    static constexpr bool IS_ARCH_WARP = (LOGICAL_WARP_THREADS == WARP_THREADS);
+    /// The number of warp scan steps
+    static constexpr int STEPS = cub::Log2<LOGICAL_WARP_THREADS>::VALUE;
+    static_assert(LOGICAL_WARP_THREADS == 1 << STEPS);
+
+
+    //---------------------------------------------------------------------
+    // Thread fields
+    //---------------------------------------------------------------------
+
+    /// Lane index in logical warp
+    unsigned int lane_id;
+
+    /// Logical warp index in 32-thread physical warp
+    unsigned int warp_id;
+
+    /// 32-thread physical warp member mask of logical warp
+    unsigned int member_mask;
+
+    //---------------------------------------------------------------------
+    // Construction
+    //---------------------------------------------------------------------
+
+    /// Constructor
+    explicit __device__ __forceinline__
+    WarpReverseScan()
+        : lane_id(cub::LaneId())
+        , warp_id(IS_ARCH_WARP ? 0 : (lane_id / LOGICAL_WARP_THREADS))
+        , member_mask(cub::WarpMask<LOGICAL_WARP_THREADS>(warp_id))
+    {
+        if (!IS_ARCH_WARP) {
+            lane_id = lane_id % LOGICAL_WARP_THREADS;
+        }
+    }
+
+
+    /// Broadcast
+    __device__ __forceinline__ T Broadcast(
+        T               input,              ///< [in] The value to broadcast
+        int             src_lane)           ///< [in] Which warp lane is to do the broadcasting
+    {
+        return cub::ShuffleIndex<LOGICAL_WARP_THREADS>(input, src_lane, member_mask);
+    }
+
+
+    /// Inclusive scan
+    template <typename ScanOpT>
+    __device__ __forceinline__ void InclusiveReverseScan(
+        T               input,              ///< [in] Calling thread's input item.
+        T               &inclusive_output,  ///< [out] Calling thread's output item.  May be aliased with \p input.
+        ScanOpT         scan_op)            ///< [in] Binary scan operator
+    {
+        inclusive_output = input;
+        #pragma unroll
+        for (int STEP = 0; STEP < STEPS; STEP++) {
+            int offset = 1 << STEP;
+            T temp = cub::ShuffleDown<LOGICAL_WARP_THREADS>(
+                inclusive_output, offset, LOGICAL_WARP_THREADS - 1, member_mask
+            );
+            // Perform scan op if from a valid peer
+            inclusive_output = static_cast<int>(lane_id) >= LOGICAL_WARP_THREADS - offset
+                ? inclusive_output : scan_op(temp, inclusive_output);
+        }
+    }
+
+    /// Exclusive scan
+    // Get exclusive from inclusive
+    template <typename ScanOpT>
+    __device__ __forceinline__ void ExclusiveReverseScan(
+        T              input,              ///< [in] Calling thread's input item.
+        T              &exclusive_output,  ///< [out] Calling thread's output item.  May be aliased with \p input.
+        ScanOpT        scan_op,            ///< [in] Binary scan operator
+        T              &warp_aggregate)    ///< [out] Warp-wide aggregate reduction of input items.
+    {
+        T inclusive_output;
+        InclusiveReverseScan(input, inclusive_output, scan_op);
+        warp_aggregate = cub::ShuffleIndex<LOGICAL_WARP_THREADS>(inclusive_output, 0, member_mask);
+        // initial value unknown
+        exclusive_output = cub::ShuffleDown<LOGICAL_WARP_THREADS>(
+            inclusive_output, 1, LOGICAL_WARP_THREADS - 1, member_mask
+        );
+    }
+
+    /**
+     * \brief Computes both inclusive and exclusive reverse scans using the specified binary scan functor across the calling warp.  Because no initial value is supplied, the \p exclusive_output computed for the last <em>warp-lane</em> is undefined.
+     */
+    template <typename ScanOpT>
+    __device__ __forceinline__ void ReverseScan(
+        T               input,              ///< [in] Calling thread's input item.
+        T               &inclusive_output,  ///< [out] Calling thread's inclusive-scan output item.
+        T               &exclusive_output,  ///< [out] Calling thread's exclusive-scan output item.
+        ScanOpT         scan_op)            ///< [in] Binary scan operator
+    {
+        InclusiveReverseScan(input, inclusive_output, scan_op);
+        // initial value unknown
+        exclusive_output = cub::ShuffleDown<LOGICAL_WARP_THREADS>(
+            inclusive_output, 1, LOGICAL_WARP_THREADS - 1, member_mask
+        );
+    }
+
+};
+
+/**
+ * \brief BlockReverseScan provides variants of raking-based parallel postfix scan across a CUDA thread block.
+ */
+template <
+    typename    T,              ///< Data type being scanned
+    int         BLOCK_DIM_X,    ///< The thread block length in threads along the X dimension
+    bool        MEMOIZE=false   ///< Whether or not to buffer outer raking scan partials to incur fewer shared memory reads at the expense of higher register pressure
+    >
+struct BlockReverseScan {
+    //---------------------------------------------------------------------
+    // Types and constants
+    //---------------------------------------------------------------------
+
+    /// Constants
+    /// The thread block size in threads
+    static constexpr int BLOCK_THREADS = BLOCK_DIM_X;
+
+    /// Layout type for padded thread block raking grid
+    using BlockRakingLayout = cub::BlockRakingLayout<T, BLOCK_THREADS>;
+    // The number of reduction elements is not a multiple of the number of raking threads for now
+    static_assert(BlockRakingLayout::UNGUARDED);
+
+    /// Number of raking threads
+    static constexpr int RAKING_THREADS = BlockRakingLayout::RAKING_THREADS;
+    /// Number of raking elements per warp synchronous raking thread
+    static constexpr int SEGMENT_LENGTH = BlockRakingLayout::SEGMENT_LENGTH;
+    /// Cooperative work can be entirely warp synchronous
+    static constexpr bool WARP_SYNCHRONOUS = (int(BLOCK_THREADS) == int(RAKING_THREADS));
+
+    ///  WarpReverseScan utility type
+    using WarpReverseScan = WarpReverseScan<T, RAKING_THREADS>;
+
+    /// Shared memory storage layout type
+    struct _TempStorage {
+        typename BlockRakingLayout::TempStorage raking_grid;     ///< Padded thread block raking grid
+    };
+
+
+    /// Alias wrapper allowing storage to be unioned
+    struct TempStorage : cub::Uninitialized<_TempStorage> {};
+
+
+    //---------------------------------------------------------------------
+    // Per-thread fields
+    //---------------------------------------------------------------------
+
+    // Thread fields
+    _TempStorage    &temp_storage;
+    unsigned int    linear_tid;
+    T               cached_segment[SEGMENT_LENGTH];
+
+
+    //---------------------------------------------------------------------
+    // Utility methods
+    //---------------------------------------------------------------------
+
+    /// Performs upsweep raking reduction, returning the aggregate
+    template <typename ScanOp>
+    __device__ __forceinline__ T Upsweep(ScanOp scan_op) {
+        T *smem_raking_ptr = BlockRakingLayout::RakingPtr(temp_storage.raking_grid, linear_tid);
+        // Read data into registers
+        #pragma unroll
+        for (int i = 0; i < SEGMENT_LENGTH; ++i) { cached_segment[i] = smem_raking_ptr[i]; }
+        T raking_partial = cached_segment[SEGMENT_LENGTH - 1];
+        #pragma unroll
+        for (int i = SEGMENT_LENGTH - 2; i >= 0; --i) {
+            raking_partial = scan_op(raking_partial, cached_segment[i]);
+        }
+        return raking_partial;
+    }
+
+
+    /// Performs exclusive downsweep raking scan
+    template <typename ScanOp>
+    __device__ __forceinline__ void ExclusiveDownsweep(
+        ScanOp          scan_op,
+        T               raking_partial)
+    {
+        T *smem_raking_ptr = BlockRakingLayout::RakingPtr(temp_storage.raking_grid, linear_tid);
+        // Read data back into registers
+        if (!MEMOIZE) {
+            #pragma unroll
+            for (int i = 0; i < SEGMENT_LENGTH; ++i) { cached_segment[i] = smem_raking_ptr[i]; }
+        }
+        ThreadReverseScanExclusive(cached_segment, cached_segment, scan_op, raking_partial);
+        // Write data back to smem
+        #pragma unroll
+        for (int i = 0; i < SEGMENT_LENGTH; ++i) { smem_raking_ptr[i] = cached_segment[i]; }
+    }
+
+
+    //---------------------------------------------------------------------
+    // Constructors
+    //---------------------------------------------------------------------
+
+    /// Constructor
+    __device__ __forceinline__ BlockReverseScan(
+        TempStorage &temp_storage)
+    :
+        temp_storage(temp_storage.Alias()),
+        linear_tid(cub::RowMajorTid(BLOCK_DIM_X, 1, 1))
+    {}
+
+
+    /// Computes an exclusive thread block-wide postfix scan using the specified binary \p scan_op functor.  Each thread contributes one input element.  the call-back functor \p block_postfix_callback_op is invoked by the first warp in the block, and the value returned by <em>lane</em><sub>0</sub> in that warp is used as the "seed" value that logically postfixes the thread block's scan inputs.  Also provides every thread with the block-wide \p block_aggregate of all inputs.
+    template <
+        typename ScanOp,
+        typename BlockPostfixCallbackOp>
+    __device__ __forceinline__ void ExclusiveReverseScan(
+        T                       input,                          ///< [in] Calling thread's input item
+        T                       &exclusive_output,              ///< [out] Calling thread's output item (may be aliased to \p input)
+        ScanOp                  scan_op,                        ///< [in] Binary scan operator
+        BlockPostfixCallbackOp  &block_postfix_callback_op)     ///< [in-out] <b>[<em>warp</em><sub>0</sub> only]</b> Call-back functor for specifying a thread block-wide postfix to be applied to all inputs.
+    {
+        if (WARP_SYNCHRONOUS) {
+            // Short-circuit directly to warp-synchronous scan
+            T block_aggregate;
+            WarpReverseScan warp_scan;
+            warp_scan.ExclusiveReverseScan(input, exclusive_output, scan_op, block_aggregate);
+            // Obtain warp-wide postfix in lane0, then broadcast to other lanes
+            T block_postfix = block_postfix_callback_op(block_aggregate);
+            block_postfix = warp_scan.Broadcast(block_postfix, 0);
+            exclusive_output = linear_tid == BLOCK_THREADS - 1 ? block_postfix : scan_op(block_postfix, exclusive_output);
+        } else {
+            // Place thread partial into shared memory raking grid
+            T *placement_ptr = BlockRakingLayout::PlacementPtr(temp_storage.raking_grid, linear_tid);
+            detail::uninitialized_copy(placement_ptr, input);
+            cub::CTA_SYNC();
+            // Reduce parallelism down to just raking threads
+            if (linear_tid < RAKING_THREADS) {
+                WarpReverseScan warp_scan;
+                // Raking upsweep reduction across shared partials
+                T upsweep_partial = Upsweep(scan_op);
+                // Warp-synchronous scan
+                T exclusive_partial, block_aggregate;
+                warp_scan.ExclusiveReverseScan(upsweep_partial, exclusive_partial, scan_op, block_aggregate);
+                // Obtain block-wide postfix in lane0, then broadcast to other lanes
+                T block_postfix = block_postfix_callback_op(block_aggregate);
+                block_postfix = warp_scan.Broadcast(block_postfix, 0);
+                // Update postfix with warpscan exclusive partial
+                T downsweep_postfix = linear_tid == RAKING_THREADS - 1
+                    ? block_postfix : scan_op(block_postfix, exclusive_partial);
+                // Exclusive raking downsweep scan
+                ExclusiveDownsweep(scan_op, downsweep_postfix);
+            }
+            cub::CTA_SYNC();
+            // Grab thread postfix from shared memory
+            exclusive_output = *placement_ptr;
+
+            // // Compute warp scan in each warp.
+            // // The exclusive output from the last lane in each warp is invalid.
+            // T inclusive_output;
+            // WarpReverseScan warp_scan;
+            // warp_scan.ReverseScan(input, inclusive_output, exclusive_output, scan_op);
+
+            // // Compute the warp-wide postfix and block-wide aggregate for each warp.  Warp postfix for the last warp is invalid.
+            // T block_aggregate;
+            // T warp_postfix = ComputeWarpPostfix(scan_op, inclusive_output, block_aggregate);
+
+            // // Apply warp postfix to our lane's partial
+            // if (warp_id != 0) {
+            //     exclusive_output = scan_op(warp_postfix, exclusive_output);
+            //     if (lane_id == 0) { exclusive_output = warp_postfix; }
+            // }
+
+            // // Use the first warp to determine the thread block postfix, returning the result in lane0
+            // if (warp_id == 0) {
+            //     T block_postfix = block_postfix_callback_op(block_aggregate);
+            //     if (lane_id == 0) {
+            //         // Share the postfix with all threads
+            //         detail::uninitialized_copy(&temp_storage.block_postfix,
+            //                                   block_postfix);
+
+            //         exclusive_output = block_postfix; // The block postfix is the exclusive output for tid0
+            //     }
+            // }
+
+            // cub::CTA_SYNC();
+
+            // // Incorporate thread block postfix into outputs
+            // T block_postfix = temp_storage.block_postfix;
+            // if (linear_tid > 0) { exclusive_output = scan_op(block_postfix, exclusive_output); }
+        }
+    }
+
+
+    /**
+     * \brief Computes an inclusive block-wide postfix scan using the specified binary \p scan_op functor.  Each thread contributes an array of consecutive input elements.  the call-back functor \p block_postfix_callback_op is invoked by the first warp in the block, and the value returned by <em>lane</em><sub>0</sub> in that warp is used as the "seed" value that logically postfixes the thread block's scan inputs.  Also provides every thread with the block-wide \p block_aggregate of all inputs.
+     */
+    template <
+        int             ITEMS_PER_THREAD,
+        typename        ScanOp,
+        typename        BlockPostfixCallbackOp>
+    __device__ __forceinline__ void InclusiveReverseScan(
+        T                       (&input)[ITEMS_PER_THREAD],     ///< [in] Calling thread's input items
+        T                       (&output)[ITEMS_PER_THREAD],    ///< [out] Calling thread's output items (may be aliased to \p input)
+        ScanOp                  scan_op,                        ///< [in] Binary scan functor
+        BlockPostfixCallbackOp   &block_postfix_callback_op)    ///< [in-out] <b>[<em>warp</em><sub>0</sub> only]</b> Call-back functor for specifying a block-wide postfix to be applied to the logical input sequence.
+    {
+        // Reduce consecutive thread items in registers
+        T thread_postfix = ThreadReverseReduce(input, scan_op);
+        // Exclusive thread block-scan
+        ExclusiveReverseScan(thread_postfix, thread_postfix, scan_op, block_postfix_callback_op);
+        // Inclusive scan in registers with postfix as seed
+        ThreadReverseScanInclusive(input, output, scan_op, thread_postfix);
+    }
+
+};

mamba/csrc/selective_scan/selective_scan.cpp

@@ -0,0 +1,497 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+#include <ATen/cuda/CUDAContext.h>
+#include <c10/cuda/CUDAGuard.h>
+#include <torch/extension.h>
+#include <vector>
+
+#include "selective_scan.h"
+
+#define CHECK_SHAPE(x, ...) TORCH_CHECK(x.sizes() == torch::IntArrayRef({__VA_ARGS__}), #x " must have shape (" #__VA_ARGS__ ")")
+
+#define DISPATCH_ITYPE_FLOAT_AND_HALF_AND_BF16(ITYPE, NAME, ...)                    \
+    if (ITYPE == at::ScalarType::Half) {                                            \
+        using input_t = at::Half;                                                   \
+        __VA_ARGS__();                                                              \
+    } else if (ITYPE == at::ScalarType::BFloat16) {                                 \
+        using input_t = at::BFloat16;                                               \
+        __VA_ARGS__();                                                              \
+    } else if (ITYPE == at::ScalarType::Float)  {                                   \
+        using input_t = float;                                                      \
+        __VA_ARGS__();                                                              \
+    } else {                                                                        \
+        AT_ERROR(#NAME, " not implemented for input type '", toString(ITYPE), "'"); \
+    }
+
+#define DISPATCH_WTYPE_FLOAT_AND_HALF_AND_BF16(WTYPE, NAME, ...)                     \
+    if (WTYPE == at::ScalarType::Half) {                                             \
+        using weight_t = at::Half;                                                   \
+        __VA_ARGS__();                                                               \
+    } else if (WTYPE == at::ScalarType::BFloat16) {                                  \
+        using weight_t = at::BFloat16;                                               \
+        __VA_ARGS__();                                                               \
+    } else if (WTYPE == at::ScalarType::Float)  {                                    \
+        using weight_t = float;                                                      \
+        __VA_ARGS__();                                                               \
+    } else {                                                                         \
+        AT_ERROR(#NAME, " not implemented for weight type '", toString(WTYPE), "'"); \
+    }
+
+#define DISPATCH_WTYPE_FLOAT_AND_COMPLEX(WTYPE, NAME, ...)                           \
+    if (WTYPE == at::ScalarType::Float) {                                            \
+       using weight_t = float;                                                       \
+        __VA_ARGS__();                                                               \
+    } else if (WTYPE == at::ScalarType::ComplexFloat) {                              \
+        using weight_t = c10::complex<float>;                                        \
+        __VA_ARGS__();                                                               \
+    } else {                                                                         \
+        AT_ERROR(#NAME, " not implemented for weight type '", toString(WTYPE), "'"); \
+    }
+
+template<typename input_t, typename weight_t>
+void selective_scan_fwd_cuda(SSMParamsBase &params, cudaStream_t stream);
+
+template <typename input_t, typename weight_t>
+void selective_scan_bwd_cuda(SSMParamsBwd &params, cudaStream_t stream);
+
+void set_ssm_params_fwd(SSMParamsBase &params,
+                        // sizes
+                        const size_t batch,
+                        const size_t dim,
+                        const size_t seqlen,
+                        const size_t dstate,
+                        const size_t n_groups,
+                        const size_t n_chunks,
+                        const bool is_variable_B,
+                        const bool is_variable_C,
+                        // device pointers
+                        const at::Tensor u,
+                        const at::Tensor delta,
+                        const at::Tensor A,
+                        const at::Tensor B,
+                        const at::Tensor C,
+                        const at::Tensor out,
+                        const at::Tensor z,
+                        const at::Tensor out_z,
+                        void* D_ptr,
+                        void* delta_bias_ptr,
+                        void* x_ptr,
+                        bool has_z,
+                        bool delta_softplus) {
+
+    // Reset the parameters
+    memset(&params, 0, sizeof(params));
+
+    params.batch = batch;
+    params.dim = dim;
+    params.seqlen = seqlen;
+    params.dstate = dstate;
+    params.n_groups = n_groups;
+    params.n_chunks = n_chunks;
+    params.dim_ngroups_ratio = dim / n_groups;
+
+    params.delta_softplus = delta_softplus;
+
+    params.is_variable_B = is_variable_B;
+    params.is_variable_C = is_variable_C;
+
+    // Set the pointers and strides.
+    params.u_ptr = u.data_ptr();
+    params.delta_ptr = delta.data_ptr();
+    params.A_ptr = A.data_ptr();
+    params.B_ptr = B.data_ptr();
+    params.C_ptr = C.data_ptr();
+    params.D_ptr = D_ptr;
+    params.delta_bias_ptr = delta_bias_ptr;
+    params.out_ptr = out.data_ptr();
+    params.x_ptr = x_ptr;
+    params.z_ptr = has_z ? z.data_ptr() : nullptr;
+    params.out_z_ptr = has_z ? out_z.data_ptr() : nullptr;
+    // All stride are in elements, not bytes.
+    params.A_d_stride = A.stride(0);
+    params.A_dstate_stride = A.stride(1);
+    if (!is_variable_B) {
+        params.B_d_stride = B.stride(0);
+    } else {
+        params.B_batch_stride = B.stride(0);
+        params.B_group_stride = B.stride(1);
+    }
+    params.B_dstate_stride = !is_variable_B ? B.stride(1) : B.stride(2);
+    if (!is_variable_C) {
+        params.C_d_stride = C.stride(0);
+    } else {
+        params.C_batch_stride = C.stride(0);
+        params.C_group_stride = C.stride(1);
+    }
+    params.C_dstate_stride = !is_variable_C ? C.stride(1) : C.stride(2);
+    params.u_batch_stride = u.stride(0);
+    params.u_d_stride = u.stride(1);
+    params.delta_batch_stride = delta.stride(0);
+    params.delta_d_stride = delta.stride(1);
+    if (has_z) {
+        params.z_batch_stride = z.stride(0);
+        params.z_d_stride = z.stride(1);
+        params.out_z_batch_stride = out_z.stride(0);
+        params.out_z_d_stride = out_z.stride(1);
+    }
+    params.out_batch_stride = out.stride(0);
+    params.out_d_stride = out.stride(1);
+}
+
+void set_ssm_params_bwd(SSMParamsBwd &params,
+                        // sizes
+                        const size_t batch,
+                        const size_t dim,
+                        const size_t seqlen,
+                        const size_t dstate,
+                        const size_t n_groups,
+                        const size_t n_chunks,
+                        const bool is_variable_B,
+                        const bool is_variable_C,
+                        // device pointers
+                        const at::Tensor u,
+                        const at::Tensor delta,
+                        const at::Tensor A,
+                        const at::Tensor B,
+                        const at::Tensor C,
+                        const at::Tensor z,
+                        const at::Tensor out,
+                        const at::Tensor out_z,
+                        void* D_ptr,
+                        void* delta_bias_ptr,
+                        void* x_ptr,
+                        const at::Tensor dout,
+                        const at::Tensor du,
+                        const at::Tensor ddelta,
+                        const at::Tensor dA,
+                        const at::Tensor dB,
+                        const at::Tensor dC,
+                        const at::Tensor dz,
+                        void* dD_ptr,
+                        void* ddelta_bias_ptr,
+                        bool has_z,
+                        bool delta_softplus,
+                        bool recompute_out_z) {
+    // Pass in "dout" instead of "out", we're not gonna use "out" unless we have z
+    set_ssm_params_fwd(params, batch, dim, seqlen, dstate, n_groups, n_chunks, is_variable_B, is_variable_C,
+                       u, delta, A, B, C, has_z ? out : dout,
+                       has_z ? z : dout,
+                       // If not recompute_out_z, pass dout instead of out_z.
+                       // This won't be used by the bwd kernel
+                       recompute_out_z ? out_z : dout,
+                       D_ptr, delta_bias_ptr, x_ptr, has_z, delta_softplus);
+    if (!recompute_out_z) { params.out_z_ptr = nullptr; }
+
+    // Set the pointers and strides.
+    params.dout_ptr = dout.data_ptr();
+    params.du_ptr = du.data_ptr();
+    params.dA_ptr = dA.data_ptr();
+    params.dB_ptr = dB.data_ptr();
+    params.dC_ptr = dC.data_ptr();
+    params.dD_ptr = dD_ptr;
+    params.ddelta_ptr = ddelta.data_ptr();
+    params.ddelta_bias_ptr = ddelta_bias_ptr;
+    params.dz_ptr = has_z ? dz.data_ptr() : nullptr;
+    // All stride are in elements, not bytes.
+    params.dout_batch_stride = dout.stride(0);
+    params.dout_d_stride = dout.stride(1);
+    params.dA_d_stride = dA.stride(0);
+    params.dA_dstate_stride = dA.stride(1);
+    if (!is_variable_B) {
+        params.dB_d_stride = dB.stride(0);
+    } else {
+        params.dB_batch_stride = dB.stride(0);
+        params.dB_group_stride = dB.stride(1);
+    }
+    params.dB_dstate_stride = !is_variable_B ? dB.stride(1) : dB.stride(2);
+    if (!is_variable_C) {
+        params.dC_d_stride = dC.stride(0);
+    } else {
+        params.dC_batch_stride = dC.stride(0);
+        params.dC_group_stride = dC.stride(1);
+    }
+    params.dC_dstate_stride = !is_variable_C ? dC.stride(1) : dC.stride(2);
+    params.du_batch_stride = du.stride(0);
+    params.du_d_stride = du.stride(1);
+    params.ddelta_batch_stride = ddelta.stride(0);
+    params.ddelta_d_stride = ddelta.stride(1);
+    if (has_z) {
+        params.dz_batch_stride = dz.stride(0);
+        params.dz_d_stride = dz.stride(1);
+    }
+}
+
+std::vector<at::Tensor>
+selective_scan_fwd(const at::Tensor &u, const at::Tensor &delta,
+                  const at::Tensor &A, const at::Tensor &B, const at::Tensor &C,
+                  const c10::optional<at::Tensor> &D_,
+                  const c10::optional<at::Tensor> &z_,
+                  const c10::optional<at::Tensor> &delta_bias_,
+                  bool delta_softplus) {
+    auto input_type = u.scalar_type();
+    auto weight_type = A.scalar_type();
+    TORCH_CHECK(input_type == at::ScalarType::Float || input_type == at::ScalarType::Half || input_type == at::ScalarType::BFloat16);
+    TORCH_CHECK(weight_type == at::ScalarType::Float || weight_type == at::ScalarType::ComplexFloat);
+
+    const bool is_variable_B = B.dim() >= 3;
+    const bool is_variable_C = C.dim() >= 3;
+    const bool is_complex = weight_type == at::ScalarType::ComplexFloat;
+
+    TORCH_CHECK(delta.scalar_type() == input_type);
+    TORCH_CHECK(B.scalar_type() == (!is_variable_B ? weight_type : input_type));
+    TORCH_CHECK(C.scalar_type() == (!is_variable_C ? weight_type : input_type));
+
+    TORCH_CHECK(u.is_cuda());
+    TORCH_CHECK(delta.is_cuda());
+    TORCH_CHECK(A.is_cuda());
+    TORCH_CHECK(B.is_cuda());
+    TORCH_CHECK(C.is_cuda());
+
+    TORCH_CHECK(u.stride(-1) == 1 || u.size(-1) == 1);
+    TORCH_CHECK(delta.stride(-1) == 1 || delta.size(-1) == 1);
+
+    const auto sizes = u.sizes();
+    const int batch_size = sizes[0];
+    const int dim = sizes[1];
+    const int seqlen = sizes[2];
+    const int dstate = A.size(1);
+    const int n_groups = is_variable_B ? B.size(1) : 1;
+
+    TORCH_CHECK(dstate <= 256, "selective_scan only supports state dimension <= 256");
+
+    CHECK_SHAPE(u, batch_size, dim, seqlen);
+    CHECK_SHAPE(delta, batch_size, dim, seqlen);
+    CHECK_SHAPE(A, dim, dstate);
+    if (!is_variable_B) {
+        CHECK_SHAPE(B, dim, dstate);
+    } else {
+        CHECK_SHAPE(B, batch_size, n_groups, dstate, !is_complex ? seqlen : seqlen * 2);
+        TORCH_CHECK(B.stride(-1) == 1 || B.size(-1) == 1);
+    }
+    if (!is_variable_C) {
+        CHECK_SHAPE(C, dim, dstate);
+    } else {
+        CHECK_SHAPE(C, batch_size, n_groups, dstate, !is_complex ? seqlen: seqlen * 2);
+        TORCH_CHECK(C.stride(-1) == 1 || C.size(-1) == 1);
+    }
+
+    if (D_.has_value()) {
+        auto D = D_.value();
+        TORCH_CHECK(D.scalar_type() == at::ScalarType::Float);
+        TORCH_CHECK(D.is_cuda());
+        TORCH_CHECK(D.stride(-1) == 1 || D.size(-1) == 1);
+        CHECK_SHAPE(D, dim);
+    }
+
+    if (delta_bias_.has_value()) {
+        auto delta_bias = delta_bias_.value();
+        TORCH_CHECK(delta_bias.scalar_type() == at::ScalarType::Float);
+        TORCH_CHECK(delta_bias.is_cuda());
+        TORCH_CHECK(delta_bias.stride(-1) == 1 || delta_bias.size(-1) == 1);
+        CHECK_SHAPE(delta_bias, dim);
+    }
+
+    at::Tensor z, out_z;
+    const bool has_z = z_.has_value();
+    if (has_z) {
+        z = z_.value();
+        TORCH_CHECK(z.scalar_type() == input_type);
+        TORCH_CHECK(z.is_cuda());
+        TORCH_CHECK(z.stride(-1) == 1 || z.size(-1) == 1);
+        CHECK_SHAPE(z, batch_size, dim, seqlen);
+        out_z = torch::empty_like(z);
+    }
+
+    const int n_chunks = (seqlen + 2048 - 1) / 2048;
+    // const int n_chunks = (seqlen + 1024 - 1) / 1024;
+    // at::Tensor out = torch::empty_like(u);
+    // Right now u has BHL layout and delta has HBL layout, and we want out to have HBL layout
+    at::Tensor out = torch::empty_like(delta);
+    at::Tensor x;
+    x = torch::empty({batch_size, dim, n_chunks, dstate * 2}, u.options().dtype(weight_type));
+
+    SSMParamsBase params;
+    set_ssm_params_fwd(params, batch_size, dim, seqlen, dstate, n_groups, n_chunks, is_variable_B, is_variable_C,
+                       u, delta, A, B, C, out, z, out_z,
+                       D_.has_value() ? D_.value().data_ptr() : nullptr,
+                       delta_bias_.has_value() ? delta_bias_.value().data_ptr() : nullptr,
+                       x.data_ptr(),
+                       has_z,
+                       delta_softplus);
+
+    // Otherwise the kernel will be launched from cuda:0 device
+    // Cast to char to avoid compiler warning about narrowing
+    at::cuda::CUDAGuard device_guard{(char)u.get_device()};
+    auto stream = at::cuda::getCurrentCUDAStream().stream();
+    DISPATCH_ITYPE_FLOAT_AND_HALF_AND_BF16(u.scalar_type(), "selective_scan_fwd", [&] {
+        DISPATCH_WTYPE_FLOAT_AND_COMPLEX(A.scalar_type(), "selective_scan_fwd", [&] {
+            selective_scan_fwd_cuda<input_t, weight_t>(params, stream);
+        });
+    });
+    std::vector<at::Tensor> result = {out, x};
+    if (has_z) { result.push_back(out_z); }
+    return result;
+}
+
+std::vector<at::Tensor>
+selective_scan_bwd(const at::Tensor &u, const at::Tensor &delta,
+                  const at::Tensor &A, const at::Tensor &B, const at::Tensor &C,
+                  const c10::optional<at::Tensor> &D_,
+                  const c10::optional<at::Tensor> &z_,
+                  const c10::optional<at::Tensor> &delta_bias_,
+                  const at::Tensor &dout,
+                  const c10::optional<at::Tensor> &x_,
+                  const c10::optional<at::Tensor> &out_,
+                  c10::optional<at::Tensor> &dz_,
+                  bool delta_softplus,
+                  bool recompute_out_z) {
+    auto input_type = u.scalar_type();
+    auto weight_type = A.scalar_type();
+    TORCH_CHECK(input_type == at::ScalarType::Float || input_type == at::ScalarType::Half || input_type == at::ScalarType::BFloat16);
+    TORCH_CHECK(weight_type == at::ScalarType::Float || weight_type == at::ScalarType::ComplexFloat);
+
+    const bool is_variable_B = B.dim() >= 3;
+    const bool is_variable_C = C.dim() >= 3;
+    const bool is_complex = weight_type == at::ScalarType::ComplexFloat;
+
+    TORCH_CHECK(delta.scalar_type() == input_type);
+    TORCH_CHECK(B.scalar_type() == (!is_variable_B ? weight_type : input_type));
+    TORCH_CHECK(C.scalar_type() == (!is_variable_C ? weight_type : input_type));
+    TORCH_CHECK(dout.scalar_type() == input_type);
+
+    TORCH_CHECK(u.is_cuda());
+    TORCH_CHECK(delta.is_cuda());
+    TORCH_CHECK(A.is_cuda());
+    TORCH_CHECK(B.is_cuda());
+    TORCH_CHECK(C.is_cuda());
+    TORCH_CHECK(dout.is_cuda());
+
+    TORCH_CHECK(u.stride(-1) == 1 || u.size(-1) == 1);
+    TORCH_CHECK(delta.stride(-1) == 1 || delta.size(-1) == 1);
+    TORCH_CHECK(dout.stride(-1) == 1 || dout.size(-1) == 1);
+
+    const auto sizes = u.sizes();
+    const int batch_size = sizes[0];
+    const int dim = sizes[1];
+    const int seqlen = sizes[2];
+    const int dstate = A.size(1);
+    const int n_groups = is_variable_B ? B.size(1) : 1;
+
+    TORCH_CHECK(dstate <= 256, "selective_scan only supports state dimension <= 256");
+
+    CHECK_SHAPE(u, batch_size, dim, seqlen);
+    CHECK_SHAPE(delta, batch_size, dim, seqlen);
+    CHECK_SHAPE(A, dim, dstate);
+    if (!is_variable_B) {
+        CHECK_SHAPE(B, dim, dstate);
+    } else {
+        CHECK_SHAPE(B, batch_size, n_groups, dstate, !is_complex ? seqlen : seqlen * 2);
+        TORCH_CHECK(B.stride(-1) == 1 || B.size(-1) == 1);
+    }
+    if (!is_variable_C) {
+        CHECK_SHAPE(C, dim, dstate);
+    } else {
+        CHECK_SHAPE(C, batch_size, n_groups, dstate, !is_complex ? seqlen: seqlen * 2);
+        TORCH_CHECK(C.stride(-1) == 1 || C.size(-1) == 1);
+    }
+    CHECK_SHAPE(dout, batch_size, dim, seqlen);
+
+    if (D_.has_value()) {
+        auto D = D_.value();
+        TORCH_CHECK(D.scalar_type() == at::ScalarType::Float);
+        TORCH_CHECK(D.is_cuda());
+        TORCH_CHECK(D.stride(-1) == 1 || D.size(-1) == 1);
+        CHECK_SHAPE(D, dim);
+    }
+
+    if (delta_bias_.has_value()) {
+        auto delta_bias = delta_bias_.value();
+        TORCH_CHECK(delta_bias.scalar_type() == at::ScalarType::Float);
+        TORCH_CHECK(delta_bias.is_cuda());
+        TORCH_CHECK(delta_bias.stride(-1) == 1 || delta_bias.size(-1) == 1);
+        CHECK_SHAPE(delta_bias, dim);
+    }
+
+    at::Tensor z, out, dz, out_z;
+    const bool has_z = z_.has_value();
+    if (has_z) {
+        z = z_.value();
+        TORCH_CHECK(z.scalar_type() == input_type);
+        TORCH_CHECK(z.is_cuda());
+        TORCH_CHECK(z.stride(-1) == 1 || z.size(-1) == 1);
+        CHECK_SHAPE(z, batch_size, dim, seqlen);
+
+        TORCH_CHECK(out_.has_value());
+        out = out_.value();
+        TORCH_CHECK(out.scalar_type() == input_type);
+        TORCH_CHECK(out.is_cuda());
+        TORCH_CHECK(out.stride(-1) == 1 || out.size(-1) == 1);
+        CHECK_SHAPE(out, batch_size, dim, seqlen);
+
+        if (dz_.has_value()) {
+            dz = dz_.value();
+            TORCH_CHECK(dz.scalar_type() == input_type);
+            TORCH_CHECK(dz.is_cuda());
+            TORCH_CHECK(dz.stride(-1) == 1 || dz.size(-1) == 1);
+            CHECK_SHAPE(dz, batch_size, dim, seqlen);
+        } else {
+            dz = torch::empty_like(z);
+        }
+        if (recompute_out_z) {
+            out_z = torch::empty_like(out);
+        }
+    }
+
+    const int n_chunks = (seqlen + 2048 - 1) / 2048;
+    // const int n_chunks = (seqlen + 1024 - 1) / 1024;
+    if (n_chunks > 1) { TORCH_CHECK(x_.has_value()); }
+    if (x_.has_value()) {
+        auto x = x_.value();
+        TORCH_CHECK(x.scalar_type() == weight_type);
+        TORCH_CHECK(x.is_cuda());
+        TORCH_CHECK(x.is_contiguous());
+        CHECK_SHAPE(x, batch_size, dim, n_chunks, 2 * dstate);
+    }
+
+    at::Tensor du = torch::empty_like(u);
+    at::Tensor ddelta = torch::empty_like(delta);
+    at::Tensor dA = torch::zeros_like(A);
+    at::Tensor dB = !is_variable_B ? torch::zeros_like(B) : torch::zeros_like(B, B.options().dtype(torch::kFloat32));
+    at::Tensor dC = !is_variable_C ? torch::zeros_like(C) : torch::zeros_like(C, C.options().dtype(torch::kFloat32));
+    at::Tensor dD;
+    if (D_.has_value()) { dD = torch::zeros_like(D_.value()); }
+    at::Tensor ddelta_bias;
+    if (delta_bias_.has_value()) { ddelta_bias = torch::zeros_like(delta_bias_.value()); }
+
+    SSMParamsBwd params;
+    set_ssm_params_bwd(params, batch_size, dim, seqlen, dstate, n_groups, n_chunks, is_variable_B, is_variable_C,
+                       u, delta, A, B, C, z, out, out_z,
+                       D_.has_value() ? D_.value().data_ptr() : nullptr,
+                       delta_bias_.has_value() ? delta_bias_.value().data_ptr() : nullptr,
+                       x_.has_value() ? x_.value().data_ptr() : nullptr,
+                       dout, du, ddelta, dA, dB, dC, dz,
+                       D_.has_value() ? dD.data_ptr() : nullptr,
+                       delta_bias_.has_value() ? ddelta_bias.data_ptr() : nullptr,
+                       has_z, delta_softplus, recompute_out_z);
+
+    // Otherwise the kernel will be launched from cuda:0 device
+    // Cast to char to avoid compiler warning about narrowing
+    at::cuda::CUDAGuard device_guard{(char)u.get_device()};
+    auto stream = at::cuda::getCurrentCUDAStream().stream();
+    DISPATCH_ITYPE_FLOAT_AND_HALF_AND_BF16(u.scalar_type(), "selective_scan_bwd", [&] {
+        DISPATCH_WTYPE_FLOAT_AND_COMPLEX(A.scalar_type(), "selective_scan_bwd", [&] {
+            selective_scan_bwd_cuda<input_t, weight_t>(params, stream);
+        });
+    });
+    std::vector<at::Tensor> result = {du, ddelta, dA, dB.to(B.dtype()), dC.to(C.dtype()), dD, ddelta_bias};
+    if (has_z) { result.push_back(dz); }
+    if (recompute_out_z) { result.push_back(out_z); }
+    return result;
+}
+
+PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) {
+    m.def("fwd", &selective_scan_fwd, "Selective scan forward");
+    m.def("bwd", &selective_scan_bwd, "Selective scan backward");
+}

mamba/csrc/selective_scan/selective_scan.h

@@ -0,0 +1,101 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+#pragma once
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+struct SSMScanParamsBase {
+    using index_t = uint32_t;
+
+    int batch, seqlen, n_chunks;
+    index_t a_batch_stride;
+    index_t b_batch_stride;
+    index_t out_batch_stride;
+
+    // Common data pointers.
+    void *__restrict__ a_ptr;
+    void *__restrict__ b_ptr;
+    void *__restrict__ out_ptr;
+    void *__restrict__ x_ptr;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+struct SSMParamsBase {
+    using index_t = uint32_t;
+
+    int batch, dim, seqlen, dstate, n_groups, n_chunks;
+    int dim_ngroups_ratio;
+    bool is_variable_B;
+    bool is_variable_C;
+
+    bool delta_softplus;
+
+    index_t A_d_stride;
+    index_t A_dstate_stride;
+    index_t B_batch_stride;
+    index_t B_d_stride;
+    index_t B_dstate_stride;
+    index_t B_group_stride;
+    index_t C_batch_stride;
+    index_t C_d_stride;
+    index_t C_dstate_stride;
+    index_t C_group_stride;
+    index_t u_batch_stride;
+    index_t u_d_stride;
+    index_t delta_batch_stride;
+    index_t delta_d_stride;
+    index_t z_batch_stride;
+    index_t z_d_stride;
+    index_t out_batch_stride;
+    index_t out_d_stride;
+    index_t out_z_batch_stride;
+    index_t out_z_d_stride;
+
+    // Common data pointers.
+    void *__restrict__ A_ptr;
+    void *__restrict__ B_ptr;
+    void *__restrict__ C_ptr;
+    void *__restrict__ D_ptr;
+    void *__restrict__ u_ptr;
+    void *__restrict__ delta_ptr;
+    void *__restrict__ delta_bias_ptr;
+    void *__restrict__ out_ptr;
+    void *__restrict__ x_ptr;
+    void *__restrict__ z_ptr;
+    void *__restrict__ out_z_ptr;
+};
+
+struct SSMParamsBwd: public SSMParamsBase {
+    index_t dout_batch_stride;
+    index_t dout_d_stride;
+    index_t dA_d_stride;
+    index_t dA_dstate_stride;
+    index_t dB_batch_stride;
+    index_t dB_group_stride;
+    index_t dB_d_stride;
+    index_t dB_dstate_stride;
+    index_t dC_batch_stride;
+    index_t dC_group_stride;
+    index_t dC_d_stride;
+    index_t dC_dstate_stride;
+    index_t du_batch_stride;
+    index_t du_d_stride;
+    index_t dz_batch_stride;
+    index_t dz_d_stride;
+    index_t ddelta_batch_stride;
+    index_t ddelta_d_stride;
+
+    // Common data pointers.
+    void *__restrict__ dout_ptr;
+    void *__restrict__ dA_ptr;
+    void *__restrict__ dB_ptr;
+    void *__restrict__ dC_ptr;
+    void *__restrict__ dD_ptr;
+    void *__restrict__ du_ptr;
+    void *__restrict__ dz_ptr;
+    void *__restrict__ ddelta_ptr;
+    void *__restrict__ ddelta_bias_ptr;
+};

mamba/csrc/selective_scan/selective_scan_bwd_bf16_complex.cu

@@ -0,0 +1,9 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+// Split into multiple files to compile in paralell
+
+#include "selective_scan_bwd_kernel.cuh"
+
+template void selective_scan_bwd_cuda<at::BFloat16, complex_t>(SSMParamsBwd &params, cudaStream_t stream);

mamba/csrc/selective_scan/selective_scan_bwd_bf16_real.cu

@@ -0,0 +1,9 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+// Split into multiple files to compile in paralell
+
+#include "selective_scan_bwd_kernel.cuh"
+
+template void selective_scan_bwd_cuda<at::BFloat16, float>(SSMParamsBwd &params, cudaStream_t stream);

mamba/csrc/selective_scan/selective_scan_bwd_fp16_complex.cu

@@ -0,0 +1,9 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+// Split into multiple files to compile in paralell
+
+#include "selective_scan_bwd_kernel.cuh"
+
+template void selective_scan_bwd_cuda<at::Half, complex_t>(SSMParamsBwd &params, cudaStream_t stream);

mamba/csrc/selective_scan/selective_scan_bwd_fp16_real.cu

@@ -0,0 +1,9 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+// Split into multiple files to compile in paralell
+
+#include "selective_scan_bwd_kernel.cuh"
+
+template void selective_scan_bwd_cuda<at::Half, float>(SSMParamsBwd &params, cudaStream_t stream);

mamba/csrc/selective_scan/selective_scan_bwd_fp32_complex.cu

@@ -0,0 +1,9 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+// Split into multiple files to compile in paralell
+
+#include "selective_scan_bwd_kernel.cuh"
+
+template void selective_scan_bwd_cuda<float, complex_t>(SSMParamsBwd &params, cudaStream_t stream);

mamba/csrc/selective_scan/selective_scan_bwd_fp32_real.cu

@@ -0,0 +1,9 @@
+/******************************************************************************
+ * Copyright (c) 2023, Tri Dao.
+ ******************************************************************************/
+
+// Split into multiple files to compile in paralell
+
+#include "selective_scan_bwd_kernel.cuh"
+
+template void selective_scan_bwd_cuda<float, float>(SSMParamsBwd &params, cudaStream_t stream);