Benchmarking Code for: Closed-Loop Parameter Selection and Gaussian-Tail Certification for a Theta–Carlson Formula for π
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901606633570304 |
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| author | Lâu, Thiat-uí |
| author_facet | Lâu, Thiat-uí |
| contents | <p>This repository contains the benchmarking and closed-loop parameter<br>selection code accompanying the paper:</p> <p>"Closed-Loop Parameter Selection and Gaussian-Tail Certification<br>for a Theta–Carlson Formula for π"</p> <p>The script reproduces:</p> <p>• Fixed-m runtime sweeps<br>• Closed-loop parameter selection experiments<br>• Gaussian tail verification plots<br>• Runtime scaling with target precision<br>• Certification against independent high-precision references</p> <p>The implementation uses a theta–elliptic formulation<br>with AGM-based evaluation of the complete elliptic integral<br>for numerical stability at high precision.</p> <p>Author: Lâu Thiat-uí<br>Year: 2026</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18617316 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Benchmarking Code for: Closed-Loop Parameter Selection and Gaussian-Tail Certification for a Theta–Carlson Formula for π Lâu, Thiat-uí pi computation theta function Carlson elliptic integral AGM high precision arithmetic closed-loop parameter selection Gaussian tail bound numerical analysis <p>This repository contains the benchmarking and closed-loop parameter<br>selection code accompanying the paper:</p> <p>"Closed-Loop Parameter Selection and Gaussian-Tail Certification<br>for a Theta–Carlson Formula for π"</p> <p>The script reproduces:</p> <p>• Fixed-m runtime sweeps<br>• Closed-loop parameter selection experiments<br>• Gaussian tail verification plots<br>• Runtime scaling with target precision<br>• Certification against independent high-precision references</p> <p>The implementation uses a theta–elliptic formulation<br>with AGM-based evaluation of the complete elliptic integral<br>for numerical stability at high precision.</p> <p>Author: Lâu Thiat-uí<br>Year: 2026</p> |
| title | Benchmarking Code for: Closed-Loop Parameter Selection and Gaussian-Tail Certification for a Theta–Carlson Formula for π |
| topic | pi computation theta function Carlson elliptic integral AGM high precision arithmetic closed-loop parameter selection Gaussian tail bound numerical analysis |
| url | https://doi.org/10.5281/zenodo.18617316 |