File:Atan2-discontinuity.svg
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Size of this PNG preview of this SVG file: 640 × 480 pixels. Other resolutions: 320 × 240 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.
Original file (SVG file, nominally 640 × 480 pixels, file size: 20 KB)
File information
Structured data
Captions
DescriptionAtan2-discontinuity.svg | Graph of the function , as θ ranges from 0 to 2π. Notice the discontinuity at θ = π. |
Date | (UTC) |
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Gnuplot script
[edit] # 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"
Some post processing done in Inkscape, specifically removal of the ugly nonexistent vertical line at θ = π and insertion of the blue circles.
Original upload log
[edit]This image is a derivative work of the following images:
- File: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= }}
Uploaded with derivativeFX
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 06:09, 19 May 2010 | 640 × 480 (20 KB) | Kpengboy (talk | contribs) | Made the upper circle at π filled in, because atan2 is defined there | |
02:39, 18 May 2010 | 640 × 480 (18 KB) | Kpengboy (talk | contribs) | {{Information |Description=Graph of the function <math>\operatorname{atan2}(i \sin \theta, \cos \theta)</math>, as <i>θ</i> ranges from 0 to 2<i>π</i>. Notice the discontinuity at <i>θ</i> = <i>π</i>. |Source=*File:Atan2.PNG |Date=2010-05-18 02: |
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