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memoria.pdf (958.91 KB)

Document type

Bachelor thesis

Publication date

2017-06-29

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cc-by-nc-nd (c) Brayan Azcarate Montoya, 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/119681

Las matemáticas de libquadmath

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Abstract

[en] Libquadmath is a library from the GNU GCC Project. It implements mathematical functions in C for 128 bits floating point values with a quad precision according to IEEE 754-2008 standard. The computing of these functions is based on functional approximations and numerical methods such as: Taylor series, Newton-Raphson method and, mainly, in Chebyshev polynomials expansion and minimax approximation. This paper analyses the implemented methods used for an efficient and fast computing of quad precision for square root, cube root, trigonometric, exponential and hyperbolic functions.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Jaume Timoneda Salat

Subject

Compiladors (Programes d'ordinador), Treballs de fi de grau, Anàlisi numèrica, Funcions trigonomètriques, Funcions exponencials

Subject (English)

Compilers (Computer programs), Bachelor's theses, Numerical analysis, Exponential functions, Trigonometrical functions

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

AZCARATE MONTOYA, Brayan. Las matemáticas de libquadmath. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/119681

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