Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data
From tabulated nuclear and degenerate equations of state to photon and neutrino opacities and nuclear reaction rates, tabulated data is ubiquitous in computational astrophysics. The dynamic range that must be covered by these tables typically spans many orders of magnitude. Here we present a novel s...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | The Astrophysical Journal Supplement Series |
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| Online Access: | https://doi.org/10.3847/1538-4365/adbbd4 |
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| _version_ | 1850189128114634752 |
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| author | Peter C. Hammond Jacob M. Fields Jonah M. Miller Brandon L. Barker |
| author_facet | Peter C. Hammond Jacob M. Fields Jonah M. Miller Brandon L. Barker |
| author_sort | Peter C. Hammond |
| collection | DOAJ |
| description | From tabulated nuclear and degenerate equations of state to photon and neutrino opacities and nuclear reaction rates, tabulated data is ubiquitous in computational astrophysics. The dynamic range that must be covered by these tables typically spans many orders of magnitude. Here we present a novel strategy for accurately and performantly interpolating tabulated data that spans these large dynamic ranges. We demonstrate the efficacy of this strategy in tabulated lookups for nuclear and terrestrial equations of state. We show that this strategy is a faster drop-in replacement for linear interpolation of logarithmic grids. |
| format | Article |
| id | doaj-art-24a1faf14e4842ac9970f91279e31ffc |
| institution | OA Journals |
| issn | 0067-0049 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astrophysical Journal Supplement Series |
| spelling | doaj-art-24a1faf14e4842ac9970f91279e31ffc2025-08-20T02:15:41ZengIOP PublishingThe Astrophysical Journal Supplement Series0067-00492025-01-0127726510.3847/1538-4365/adbbd4Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated DataPeter C. Hammond0https://orcid.org/0000-0002-9447-1043Jacob M. Fields1https://orcid.org/0000-0001-5705-1712Jonah M. Miller2https://orcid.org/0000-0001-6432-7860Brandon L. Barker3https://orcid.org/0000-0002-8825-0893Department of Physics, The Pennsylvania State University , University Park, PA 16802, USA ; jonahm@lanl.gov; Institute for Gravitation and the Cosmos, The Pennsylvania State University , University Park, PA 16802, USA; Department of Physics and Astronomy, University of New Hampshire , Durham, NH 03824, USADepartment of Physics, The Pennsylvania State University , University Park, PA 16802, USA ; jonahm@lanl.gov; Institute for Gravitation and the Cosmos, The Pennsylvania State University , University Park, PA 16802, USACenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Computational Physics and Methods, Los Alamos National Laboratory , Los Alamos, NM 87545, USACenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Computational Physics and Methods, Los Alamos National Laboratory , Los Alamos, NM 87545, USAFrom tabulated nuclear and degenerate equations of state to photon and neutrino opacities and nuclear reaction rates, tabulated data is ubiquitous in computational astrophysics. The dynamic range that must be covered by these tables typically spans many orders of magnitude. Here we present a novel strategy for accurately and performantly interpolating tabulated data that spans these large dynamic ranges. We demonstrate the efficacy of this strategy in tabulated lookups for nuclear and terrestrial equations of state. We show that this strategy is a faster drop-in replacement for linear interpolation of logarithmic grids.https://doi.org/10.3847/1538-4365/adbbd4Computational methodsGPU computingComputational astronomyAstronomy softwareHigh energy astrophysicsRelativistic binary stars |
| spellingShingle | Peter C. Hammond Jacob M. Fields Jonah M. Miller Brandon L. Barker Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data The Astrophysical Journal Supplement Series Computational methods GPU computing Computational astronomy Astronomy software High energy astrophysics Relativistic binary stars |
| title | Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data |
| title_full | Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data |
| title_fullStr | Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data |
| title_full_unstemmed | Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data |
| title_short | Not-quite-transcendental Functions for Logarithmic Interpolation of Tabulated Data |
| title_sort | not quite transcendental functions for logarithmic interpolation of tabulated data |
| topic | Computational methods GPU computing Computational astronomy Astronomy software High energy astrophysics Relativistic binary stars |
| url | https://doi.org/10.3847/1538-4365/adbbd4 |
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