An elementary algorithm to evaluate trigonometric functions to high precision

B. Tomas Johansson

doi:10.1080/0020739X.2017.1349943

An elementary algorithm to evaluate trigonometric functions to high precision

B. Tomas Johansson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

81 Downloads (Pure)

Abstract

Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

Original language	English
Pages (from-to)	131-137
Journal	International Journal of Mathematical Education in Science and Technology
Volume	49
Issue number	1
Early online date	19 Jul 2017
DOIs	https://doi.org/10.1080/0020739X.2017.1349943
Publication status	Published - 2018

Bibliographical note

This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 19 july 2017, available online: http://www.tandfonline.com/10.1080/0020739X.2017.1349943

Keywords

arbitrary-precision arithmetic
cordic algorithm
mulprec package

Access to Document

10.1080/0020739X.2017.1349943

Elementary algorithm to evaluate trigonomic functions to high precision
This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 19 july 2017, available online: http://www.tandfonline.com/10.1080/0020739X.2017.1349943
Accepted author manuscript, 310 KB

Cite this

@article{8e6da91e73654601bd829188f0d5fe3b,

title = "An elementary algorithm to evaluate trigonometric functions to high precision",

abstract = "Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.",

keywords = "arbitrary-precision arithmetic, cordic algorithm, mulprec package",

author = "Johansson, \{B. Tomas\}",

note = "This is an Accepted Manuscript of an article published by Taylor \& Francis in International Journal of Mathematical Education in Science and Technology on 19 july 2017, available online: http://www.tandfonline.com/10.1080/0020739X.2017.1349943",

year = "2018",

doi = "10.1080/0020739X.2017.1349943",

language = "English",

volume = "49",

pages = "131--137",

journal = "International Journal of Mathematical Education in Science and Technology",

issn = "0020-739X",

publisher = "Taylor \& Francis",

number = "1",

}

TY - JOUR

T1 - An elementary algorithm to evaluate trigonometric functions to high precision

AU - Johansson, B. Tomas

N1 - This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 19 july 2017, available online: http://www.tandfonline.com/10.1080/0020739X.2017.1349943

PY - 2018

Y1 - 2018

N2 - Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

AB - Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

KW - arbitrary-precision arithmetic

KW - cordic algorithm

KW - mulprec package

UR - http://www.tandfonline.com/10.1080/0020739X.2017.1349943

UR - https://www.scopus.com/pages/publications/85025125863

U2 - 10.1080/0020739X.2017.1349943

DO - 10.1080/0020739X.2017.1349943

M3 - Article

AN - SCOPUS:85025125863

SN - 0020-739X

VL - 49

SP - 131

EP - 137

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

IS - 1

ER -

An elementary algorithm to evaluate trigonometric functions to high precision

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this