Publications
Publication Information
| Title | A C++ TPSA/DA Library with Python Wrapper | ||
| Authors | He Zhang, Yuhong Zhang | ||
| JLAB number | JLAB-ACP-19-3089 | ||
| LANL number | (None) | ||
| Other number | DOE/OR/23177-4801 | ||
| Document Type(s) | (Meeting) | ||
| Associated with EIC: | No | ||
| Supported by Jefferson Lab LDRD Funding: | No | ||
| Funding Source: | Nuclear Physics (NP) | ||
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Meeting Paper compiled for NAPAC 2019 Proceedings NAPAC2019 Edited By JACOW (2019) Page(s) 796 | |||
| Publication Abstract: | Truncated power series algebra (TPSA) or differential algebra (DA) is often used by accelerator physicists to generate a transfer map of a dynamic system. The map then can be used in dynamic analysis of the system or in particle tracking study. TPSA/DA can also be used in some fast algorithms, eg. the fast multipole method, for collective effect simulation. This paper reports a new TPSA/DA library written in C++. This library is developed based on Dr. Lingyun Yang?s TPSA code, which has been used in MAD-X and PTC. Compared with the original code, the updated version has the following changes: (1) The memory management has been revised to improve the efficiency; (2) A new data type of DA vector is defined and supported by most frequently used operators; (3) Support of inverse trigonometric functions and hyperbolic functions for the DA vector has been added; (4) function composition is revised for better efficiency; (5) a python wrapper is provided. The code is hosted at github and available to the public. | ||
| Experiment Numbers: | other | ||
| Group: | Ctr for Adv Stud of Accel | ||
| Document: | |||
| DOI: | https://doi.org/10.18429/JACoW-NAPAC2019-WEPLS14 | ||
| Accepted Manuscript: | wepls14.pdf | ||
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