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• W1573666851 abstract "We describe a new implementation of the elementary transcendental functions exp, sin, cos, log and atan for variable precision up to approximately 4096 bits. Compared to the MPFR library, we achieve a maximum speedup ranging from a factor 3 for cos to 30 for atan. Our implementation uses table-based argument reduction together with rectangular splitting to evaluate Taylor series. We collect denominators to reduce the number of divisions in the Taylor series, and avoid overhead by doing all multiprecision arithmetic using the mpn layer of the GMP library. Our implementation provides rigorous error bounds." @default.
• W1573666851 created "2016-06-24" @default.
• W1573666851 creator A5049528659 @default.
• W1573666851 date "2015-06-01" @default.
• W1573666851 modified "2023-09-24" @default.
• W1573666851 title "Efficient Implementation of Elementary Functions in the Medium-Precision Range" @default.
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• W1573666851 doi "https://doi.org/10.1109/arith.2015.16" @default.
• W1573666851 hasPublicationYear "2015" @default.
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