Origami: Analytical Solution Selection for GEMM Kernels
Origami provides a fast, analytical, deterministic methodology to select optimal GEMM configuration (such as tile size) for out-of-the-box GEMM performance. Origami estimates performance by sweeping over candidate configs (tile sizes and mapping) to select the optimal configuration based on compute and memory latencies.
Documentation
Quick Start Guide
Prerequisites
ROCm/HIP: This package requires ROCm/HIP to be installed on your system. ROCm cannot be installed via pip and must be installed separately. See the ROCm Quick Start Guide for installation instructions. Ensure CMAKE_PREFIX_PATH includes your ROCm install (default: /opt/rocm).
Install
pip install git+https://github.com/ROCm/rocm-libraries.git#subdirectory=shared/origami/python
API Example
Python API
import origami
# Get hardware information for device 0
hardware = origami.get_hardware_for_device(0)
# Create a problem description
problem = origami.problem_t()
problem.size = origami.dim3_t(2048, 2048, 2048) # M, N, K dimensions
problem.batch = 1
problem.a_transpose = origami.transpose_t.T
problem.b_transpose = origami.transpose_t.N
problem.a_dtype = origami.data_type_t.Half
problem.b_dtype = origami.data_type_t.Half
problem.c_dtype = origami.data_type_t.Half
problem.d_dtype = origami.data_type_t.Half
problem.mi_dtype = origami.data_type_t.Half
problem.a_mx_block_size = 0
problem.b_mx_block_size = 0
# Create candidate configurations
configs = []
config = origami.config_t()
config.mt = origami.dim3_t(256, 256, 64) # Macro tile dimensions
config.mi = origami.dim3_t(16, 16, 32) # Matrix instruction dimensions
config.occupancy = 4
configs.append(config)
# Select best configuration
best_result = origami.select_config(problem, hardware, configs)
print(f"Best latency: {best_result.latency}")
print(f"Best config: MT=({best_result.config.mt.m}, {best_result.config.mt.n}, {best_result.config.mt.k})")
C++ API
#include "origami/origami.hpp"
#include "origami/types.hpp"
#include <vector>
#include <iostream>
int main() {
// Get hardware information for device 0
auto hardware = origami::hardware_t::get_hardware_for_device(0);
// Create a problem description
origami::problem_t problem;
problem.size.m = 2048; // M dimension
problem.size.n = 2048; // N dimension
problem.size.k = 2048; // K dimension
problem.batch = 1;
problem.a_transpose = origami::transpose_t::T;
problem.b_transpose = origami::transpose_t::N;
problem.a_dtype = origami::data_type_t::Half;
problem.b_dtype = origami::data_type_t::Half;
problem.c_dtype = origami::data_type_t::Half;
problem.d_dtype = origami::data_type_t::Half;
problem.mi_dtype = origami::data_type_t::Half;
problem.a_mx_block_size = 0;
problem.b_mx_block_size = 0;
// Create candidate configurations
std::vector<origami::config_t> configs;
origami::config_t config;
config.mt.m = 256; // Macro tile M
config.mt.n = 256; // Macro tile N
config.mt.k = 64; // Macro tile K
config.mi.m = 16; // Matrix instruction M
config.mi.n = 16; // Matrix instruction N
config.mi.k = 32; // Matrix instruction K
config.occupancy = 4;
configs.push_back(config);
// Select best configuration
auto best_result = origami::select_config(problem, hardware, configs);
std::cout << "Best latency: " << best_result.latency << std::endl;
std::cout << "Best config: MT=("
<< best_result.config.mt.m << ", "
<< best_result.config.mt.n << ", "
<< best_result.config.mt.k << ")" << std::endl;
// Alternative: Simple selection using just M, N, K
auto best_result_simple = origami::select_config_mnk(2048, 2048, 2048, hardware, configs);
// Rank all configurations by performance
auto ranked_configs = origami::rank_configs(problem, hardware, configs);
std::cout << "Top 5 configs:" << std::endl;
for (size_t i = 0; i < std::min(ranked_configs.size(), size_t(5)); ++i) {
const auto& result = ranked_configs[i];
std::cout << " Rank " << (i+1) << ": latency=" << result.latency
<< ", MT=(" << result.config.mt.m << ", "
<< result.config.mt.n << ", " << result.config.mt.k << ")" << std::endl;
}
// Compute performance in GFLOPS
double gflops = origami::compute_perf_gflops(hardware, problem, best_result.latency);
std::cout << "Performance: " << gflops << " GFLOPS" << std::endl;
return 0;
}
Supported GPUs
| LLVM Target | GPUs | Functional | Optimized |
|---|---|---|---|
| gfx942 | MI325X, MI300X, MI300A | ✔️ | ✔️ |
| gfx950 | MI355X, MI350X | ✔️ | ✔️ |
| gfx1100 | Radeon RX 7900 XTX/XT/GRE, Radeon PRO W7900 (Dual Slot), Radeon PRO W7800 (48GB) | ✔️ | |
| gfx1150 | Radeon 890M/880M iGPU | ✔️ | |
| gfx1151 | Radeon 8060S/8050S/8040S iGPU | ✔️ | |
| gfx1152 | Radeon 860M/840M iGPU | ✔️ | |
| gfx1153 | TBA | ✔️ | |
| gfx1200 | Radeon RX 9060 (XT) | ✔️ | |
| gfx1201 | Radeon RX 9070 (XT/GRE), Radeon AI PRO R9700 (D/S) | ✔️ | |
| gfx1250 | TBA | ✔️ |
For more information on GPU hardware specifications, check out ROCm documentation.
Build and Install
Build and Install Origami (Python)
Origami provides Python bindings that allow you to use Origami's functionality directly from Python.
Installation
Install directly from the rocm-libraries repository (this could take some time due to the size of the rocm-libraries repo):
pip install git+https://github.com/ROCm/rocm-libraries.git#subdirectory=shared/origami/python
To efficiently install directly from the rocm-libraries repository use do the following:
TEMP_DIR=$(mktemp -d)
git clone --no-checkout --filter=blob:none --sparse https://github.com/ROCm/rocm-libraries.git $TEMP_DIR
git -C $TEMP_DIR sparse-checkout set shared/origami
git -C $TEMP_DIR checkout develop
pip install $TEMP_DIR/shared/origami/python -v
rm -rf $TEMP_DIR
If you have already cloned the repository:
cd shared/origami/python
pip install -e .
The build system uses pyproject.toml with scikit-build-core, which integrates with CMake for building the Python bindings.
CMake Build (Alternative)
When building with CMake, you'll need to manually install the Python dependencies listed in shared/origami/python/requirements.txt:
pip install -r shared/origami/python/requirements.txt
Build Python bindings using CMake from the shared/origami directory:
cd shared/origami
# configure with python bindings and tests enabled
cmake -S . -B build/ \
-DCMAKE_PREFIX_PATH=/opt/rocm \
-DCMAKE_CXX_COMPILER=/opt/rocm/bin/amdclang++ \
-DCMAKE_INSTALL_PREFIX=/opt/rocm \
-DORIGAMI_ENABLE_PYTHON=ON \
-DORIGAMI_BUILD_TESTING=ON
# build
cmake --build build/ --parallel
# run tests
cd build/
ctest --output-on-failure
Build and Install Origami (C++)
Build the C++ library from the shared/origami directory:
cd shared/origami
# configure
cmake -S . -B build/ \
-DCMAKE_PREFIX_PATH=/opt/rocm \
-DCMAKE_CXX_COMPILER=/opt/rocm/bin/amdclang++ \
-DCMAKE_INSTALL_PREFIX=/opt/rocm
# build
cmake --build build/ --parallel
After configuring and building, run the following command to install:
# install
cmake --install build/
CMake Options
| Option | Description | Default |
|---|---|---|
ORIGAMI_BUILD_SHARED_LIBS |
Build shared libraries | ON (standalone), OFF (as part of rocm-libraries) |
ORIGAMI_ENABLE_PYTHON |
Enable Python bindings | OFF |
ORIGAMI_BUILD_TESTING |
Enable Python binding tests | OFF |
ORIGAMI_ENABLE_FETCH |
Auto-fetch dependencies with FetchContent | ON |
Origami Tests
Build and Run All Tests
Build with both C++ and Python tests enabled:
cd shared/origami
cmake -S . -B build/ \
-DCMAKE_PREFIX_PATH=/opt/rocm \
-DCMAKE_CXX_COMPILER=/opt/rocm/bin/amdclang++ \
-DORIGAMI_BUILD_TESTING=ON \
-DORIGAMI_ENABLE_PYTHON=ON
cmake --build build/ --parallel
cd build/
ctest --output-on-failure
Note
Python tests are automatically added when
ORIGAMI_BUILD_TESTING=ONandORIGAMI_ENABLE_PYTHON=ON.
Running Specific Tests
Run only C++ tests:
./build/tests/origami-tests
Run a specific C++ test by name:
./build/tests/origami-tests "Origami: select_config_mnk unit test"
Run only Python tests (from shared/origami/python):
pip install -e .
python -m pytest tests/ -v
Run Python tests excluding slow tests:
python -m pytest tests/ -m "not slow"
Run selector tests (requires torch):
python -m pytest tests/test_selector.py -v
Debug Logging
Origami includes built-in debug logging that exposes internal latency model values (cache hit rates, memory/compute latencies, tile parameters, etc.). Debug output requires the ANALYTICAL_GEMM_DEBUG=1 environment variable to activate the debug code paths.
Text Log
Write human-readable debug output to a file by setting ORIGAMI_LOG_FILE:
export ANALYTICAL_GEMM_DEBUG=1
export ORIGAMI_LOG_FILE=/tmp/origami.log
Each GEMM evaluation produces a block of key-value lines in the log file, e.g.:
[DEBUG] gemm.cpp:99 - ======== Origami Debug Info ========
[DEBUG] gemm.cpp:100 - M: 2048
[DEBUG] gemm.cpp:101 - N: 2048
...
[DEBUG] gemm.cpp:116 - total_latency: 45678.9
[DEBUG] gemm.cpp:117 - =================================
CSV Log
Write structured CSV output (one row per GEMM evaluation) by using a .csv file extension:
export ANALYTICAL_GEMM_DEBUG=1
export ORIGAMI_LOG_FILE=/tmp/origami_debug.csv
The log format is inferred from the file extension: .csv selects CSV mode, anything else selects human-readable text mode.
The CSV file contains columns for every value logged with OLOG_DEBUG, such as M, N, K, L_mem, L_compute, H_mem_l2_A, total_latency, etc. This is useful for bulk analysis of the latency model across many GEMM problems.
Accumulated rows are flushed to disk in two situations:
- At process exit — the logger destructor writes any remaining rows.
- On explicit flush or reconfiguration — calling
Logger::flush()writes buffered rows. CallingLogger::update_from_env()also flushes before applying the new configuration. Subsequent rows are appended incrementally.
Environment Variables
| Variable | Description |
|---|---|
ANALYTICAL_GEMM_DEBUG |
Set to 1 to enable debug code paths in the latency model |
ORIGAMI_LOG_FILE |
Path for log output; .csv extension selects CSV format, any other extension selects text |
Contribute
If you want to submit an issue, you can do so on GitHub. To contribute to our repository, you can create a GitHub pull request.
How to Cite
If you use Origami or reference it in your research, please cite our work:
@misc{Swann:2025:TTB,
title={{tritonBLAS}: Triton-based Analytical Approach for GEMM Kernel Parameter Selection},
author={Ryan Swann and Muhammad Osama and Xiaohu Guo and Bryant Nelson and Lixun Zhang and Alex Brown and Yen Ong and Ali Yazdani and Sean Siddens and Ganesh Dasika and Alex Underwood},
year={2025},
eprint={2512.04226},
archivePrefix={arXiv},
primaryClass={cs.DC},
url={https://arxiv.org/abs/2512.04226},
}