#
# Demo of plotting piecewise functions
#
unset border
set key center top reverse Left
set xzeroaxis
set yzeroaxis
set xtics axis out scale 1,8
set xtics add  (1.00000 1, 6.28319 1)
set ytics axis
set title "Piecewise function sampling" font ",15"
set xrange [ -2 : 10 ] noreverse nowriteback

plot sample [*:1] x, [1:2.*pi] cos(x), [2.*pi:10] (x-8)**2

pause -1 "Hit <cr> to continue"
reset
#
# This example taken from 
# http://amca01.wordpress.com/2012/05/29/a-piecewise-polynomial-approximation-to-the-normal-cdf/
# Original approximation from John Hoyt (1962), The American Statistician 22:25-26.
#
set termopt enhanced
set termopt dash
save_encoding = GPVAL_ENCODING; set encoding utf8

set title "Piecewise approximation to the\nNormal Cumulative Distribution Function"

set format "%.1f"
set key left Left reverse invert
set style data lines
set xtics nomirror
set xrange [ 0   : 4 ]
set yrange [ 0.5 : 1.1 ]
set style line 1 lt 0 lw 3
set style line 2 lt 0 lw 3 lc rgb "red"

part1(x) = 0.5 + (9.*x-x**3)/ 24.
part2(x) = 1.0 + (x-3.0)**3 / 48.

part1 = "part1: for x < 1  norm(x) ≈  ½ + (9x-x^3) / 24"
part2 = "part2: for x > 1  norm(x) ≈   1 +  (x-3)^3 / 48"

set label 1 at 1.0, 0.62
set label 1 "plot norm(x),  [0:1] part1(x),  [1:4] part2(x)"
set arrow 1 from 1.,.7 to 1.,.9 nohead

plot norm(x) lt -1, \
     [1:4] part2(x) ls 2 title part2, \
     [0:1] part1(x) ls 1 title part1

pause -1 "Hit <cr> to continue"

set termopt solid
reset

set border 16
unset xtics
unset ytics
set xyplane at 0
set style data lines
set key center at screen 0.5, screen 0.15
set title font ",15"
set title "Piecewise function of one parameter in 3D"

splot [-2:2][-2:2] sample \
   [h=1:5]   '+' using (cos(h)):(sin(h)):(h) lw 2, \
   [h=5:10]  '+' using (cos(h)):(sin(h)):(h) lw 4, \
   [h=10:15] '+' using (cos(h)):(sin(h)):(h) lw 2

pause -1 "Hit <cr> to continue"

set encoding save_encoding
reset