# Various ways of plotting functions in polar coordinates
#
unset border
set clip
set polar
set xtics axis nomirror
set ytics axis nomirror
unset rtics
set samples 160
set zeroaxis
set trange [0:2*pi]
set title "Three circles (with aspect ratio distortion)"
plot .5,1,1.5
pause -1 "Hit return to continue"
set title ""
set key box

plot cos(2*t)
pause -1 "Hit return to continue"

plot 2*sqrt(cos(t)),-2*sqrt(cos(t))
pause -1 "Hit return to continue"

plot sin(4*t),cos(4*t)
set offset 0,0,0,0
pause -1 "Hit return to continue"

set xrange [-5:5]
set yrange [-5:5]
plot t/cos(3*t)
pause -1 "Hit return to continue"
set autoscale

plot 1-sin(t)
pause -1 "Hit return to continue"

set trange [0:12*pi]
plot 2*t
pause -1 "Hit return to continue"

butterfly(x)=exp(cos(x))-2*cos(4*x)+sin(x/12)**5
set samples 800
set title "Butterfly"
unset key
plot butterfly(t)
pause -1 "Hit return to continue"
reset

set polar
set grid polar 
unset xtics
unset ytics
set border 0
set style fill solid 0.5
set rrange [0.1 : 4]
set size square
set key title "bounding radius 2.5"
set key outside top right samplen 0.7

plot 3.+sin(t)*cos(5*t) with filledcurve above r=2.5 notitle,\
     3.+sin(t)*cos(5*t) with line

pause -1 "Hit return to continue"
# undo what we've done above
reset
