Not-Quite-Transcendental Functions

Reference Implementations of Not-Quite-Transcendental Functions

Introduction

This is the companion repository for ArXiv:2206.08957. Here we present the reference impementations for not-quite-transendental functions as well as machinery to time them. For completeness, we also include the paper in TeX in the paper subdirectory. The logarithms are in src/logs.hpp, where we include a portable version as well as a very performant version based on integer aliasing.

Dependencies

To enable performance portability, we utilize the Kokkos library, included as a submodule. We use cmake as our build system.

Building and running

To compile for CPU, this is enough:

mkdir bin
cd bin
cmake -DUSE_CUDA=OFF src
make -j
timelogs npoints

where here npoints is the number of points to use. Use a number large enough to saturate your target architecture. If you want to compile for GPU, change -DUSE_CUDA to ON.

Building the paper

If you have latexmk, just type make in the paper directory.

Report Number

The paper is authorized for unlimited release with LA-UR-22-25573.

Authors

This code was developed by

• Jonah Miller
• Josh Dolence
• Daniel Holladay

Copyright

© (or copyright) 2022. Triad National Security, LLC. All rights reserved. This program was produced under U.S. Government contract 89233218CNA000001 for Los Alamos National Laboratory (LANL), which is operated by Triad National Security, LLC for the U.S. Department of Energy/National Nuclear Security Administration. All rights in the program are reserved by Triad National Security, LLC, and the U.S. Department of Energy/National Nuclear Security Administration. The Government is granted for itself and others acting on its behalf a nonexclusive, paid-up, irrevocable worldwide license in this material to reproduce, prepare derivative works, distribute copies to the public, perform publicly and display publicly, and to permit others to do so.

This program is open source under the BSD-3 License. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE