File:Atan2-discontinuity.svg

Uploaded by Kpengboy
Upload date 2010-05-19T06:09:45Z
MIME type image/svg+xml
Dimensions 640 × 480 px
File size 19.8 KB

Summary

Description
English: Graph of the function atan2⁡(sin⁡θ,cos⁡θ), as θ ranges from 0 to 2π. Notice the discontinuity at θ = π.
Date
Source Own work based on: Atan2.PNG:  by Adam majewski
Author Kpengboy
SVG development
InfoField
 The SVG code is valid.
 This plot was created with gnuplot.
  This plot uses embedded text that can be easily translated using a text editor.

Licensing

Kpengboy, the copyright holder of this work, hereby publishes it under the following licenses:
w:en:Creative Commons
attribution share alike
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Attribution:
Kpengboy
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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Gnuplot script

Some post processing done in Inkscape, specifically removal of the ugly nonexistent vertical line at θ = π and insertion of the blue circles. 

 # Output to svg
 set terminal svg size 640 480
 set output "Atan2-discontinuity.svg"
 
 # Use lots of samples
 set samples 1000
 
 # Configure the graph
 set xlabel "angle in radians"
 set ylabel "angle in radians"
 set key left top
 set grid
 
 # (Manually) set the tics so they say "pi/2", "pi", etc.
 set xtics ("pi/2" pi/2, "pi" pi, "3pi/2" 3*pi/2, "2pi" 2*pi)
 set ytics ("-2pi" -2*pi, "-pi" -pi, "-pi/2" -pi/2, "0" 0, "pi/2" pi/2, "pi" pi, "2pi" 2*pi)
 
 # Plot
 plot [0:2*pi][-2*pi:2*pi] atan2(sin(x), cos(x)) title "atan2"

Original upload log

This image is a derivative work of the following images:

  • Atan2.PNG licensed with Cc-by-sa-3.0, GFDL
    • 2009-02-05T16:56:20Z Adam majewski 640x480 (7575 Bytes) {{Information |Description={{en|1=Atan2 function}} |Source=Own work by uploader |Author=[[User:Adam majewski|Adam majewski]] |Date=2009.02.05 |Permission= |other_versions= }}

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checksum

ed2b8df81e45c79cd98cf9ffd764dbb92fe01f6c

determination method or standard: SHA-1

data size

20,239 byte

height

480 pixel

width

640 pixel