File: plotstyles.gnu

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#
#  Generate a set of figures to illustrate the various plot styles.
#  These figures are imported into the pdf and html versions of the
#  User Manual.
#
#  EAM - July 2007
#

if (strstrt(GPVAL_TERMINALS, " windows ") == 0) {
   fontspec = "Times,12"
} else {
   fontspec = "Tahoma,12"
}
MANUAL_FIGURES = 1

if (!exists("winhelp")) winhelp = 0
if (winhelp == 0) {
    set term pdfcairo mono font fontspec size 3.5,2.0 dashlength 0.2
# pdfs that need colour have their own terminal setting, check below
    out = "./"
} else {
#   prefer pngcairo over gd based png
    if (strstrt(GPVAL_TERMINALS, " pngcairo ") > 0) {
        set term pngcairo font fontspec size 448,225 dashlength 0.2 fontscale 0.6
    } else {
        set term png font fontspec size 448,225 dashlength 0.2 fontscale 0.6
    }
    out = "./windows/"
}

demo = "../demo/"

if (GPVAL_TERM eq "pngcairo" || GPVAL_TERM eq "png") ext=".png"
if (GPVAL_TERM eq "pdfcairo" || GPVAL_TERM eq "pdf") ext=".pdf"

set encoding utf8

#
# Line and point type plots  (same data plotted)
# ==============================================
#
set output out . 'figure_lines' . ext
set xrange [270:370]
unset xtics
unset ytics
set offset 10,10,4,2
set xzeroaxis
set lmargin screen 0.05
set rmargin screen 0.95
set bmargin screen 0.05
set tmargin screen 0.95

plot demo . 'silver.dat' u 1:($2-10.) title 'with lines' with lines
#
set output out . 'figure_points' . ext
plot demo . 'silver.dat' u 1:($2-10.):(1+rand(0)) title 'with points ps variable' \
     with points ps variable pt 6
#
set output out . 'figure_linespoints' . ext
set key opaque height 1
f(x) = 8 + 8*sin(x/20)
plot demo . 'silver.dat' u 1:($2-10.) title 'with linespoints' \
     with linespoints pt 6 ps 1, \
     '' u 1:($2) title 'pointinterval -2' with lp pt 4 ps 1 pi -2, \
     '' u 1:($2+10.) with lp pt "α" pi -1 font ",18" title 'with lp pt "α" pi -1'
set key noopaque
#
set output out . 'figure_fsteps' . ext
plot demo . 'silver.dat' u 1:($2-10.) title 'with fsteps' with fsteps
#
set output out . 'figure_steps' . ext
set style fill solid 0.25 noborder
plot demo . 'silver.dat' u 1:($2-10.) title 'with fillsteps' with fillsteps, \
                      '' u 1:($2-10.) title 'with steps' with steps lw 3 dt solid
#
set output out . 'figure_histeps' . ext
plot demo . 'silver.dat' u 1:($2-10.) title 'with histeps' with histeps
#
symbol(z) = "●□+⊙♠♣♡♢"[int(z):int(z)]
set output out . 'figure_labels2' . ext
plot demo . 'silver.dat' u 1:($2-10.):(symbol(1+int($0)%8)) \
     with labels font ",18" title "with labels"

#
# Simple bar charts  (same data plotted)
# ======================================
#
# (no reset, keep settings from previous example set)
set output out . 'figure_boxes' . ext
set xzeroaxis
set boxwidth 0.8 relative
plot demo . 'silver.dat' u 1:($2-10.) with boxes title 'with boxes' fs solid 0.5
#
set output out . 'figure_boxerrorbars' . ext
set boxwidth 0.8 relative
plot demo . 'silver.dat' u 1:($2-10.):(3*rand(0)) with boxerrorbars title 'with boxerrorbars' fs empty
#
set output out . 'figure_impulses' . ext
set bmargin at screen .2
plot demo . 'silver.dat' u 1:($2-10.) with impulses title 'with impulses'
set bmargin at screen .05

#
# Error bars and whisker plots
# ============================
#
# (no reset, keep settings from previous example sets)
set xrange [0:11]
set yrange [0:10]
set boxwidth 0.2
unset xzeroaxis
unset offset
#
set output out . 'figure_candlesticks' . ext
plot demo . 'candlesticks.dat' using 1:3:2:6:5 title 'with candlesticks' with candlesticks whiskerbar fs empty
#
set output out . 'figure_financebars' . ext
set bars 4
plot demo . 'candlesticks.dat' using 1:3:2:6:5 title 'with financebars' with financebars
set bars 1
#
set output out . 'figure_yerrorbars' . ext
plot demo . 'candlesticks.dat' using 1:4:3:5 with yerrorbars title 'with yerrorbars'
#
set output out . 'figure_yerrorlines' . ext
plot demo . 'candlesticks.dat' using 1:4:3:5 with yerrorlines title 'with yerrorlines'
#
set output out . 'figure_boxxyerror' . ext
plot demo . 'candlesticks.dat' using 1:4:($1-sin($1)/2.):($1+sin($1)/2.):3:5 \
     with boxxyerror title 'with boxxyerror' fs empty
#
set output out . 'figure_xyerrorbars' . ext
plot demo . 'candlesticks.dat' using 1:4:($1-sin($1)/2.):($1+sin($1)/2.):3:5 \
     with xyerrorbars title 'with xyerrorbars'
#
set output out . 'figure_xyerrorlines' . ext
plot demo . 'candlesticks.dat' using 1:4:($1-sin($1)/2.):($1+sin($1)/2.):3:5 \
     with xyerrorlines title 'with xyerrorlines'
#
set output out . 'figure_xerrorbars' . ext
plot demo . 'candlesticks.dat' using 1:4:($1-sin($1)/2.):($1+sin($1)/2.) \
     with xerrorbars title 'with xerrorbars'
#
set output out . 'figure_xerrorlines' . ext
plot demo . 'candlesticks.dat' using 1:4:($1-sin($1)/2.):($1+sin($1)/2.) \
     with xerrorlines title 'with xerrorlines'

# 
#
# Boxplot
# =======
#
set output out . 'figure_boxplot' . ext
reset
set style fill solid 0.25 border -1
set yrange [-15:165]
set xrange [0.5:2.0]
set xtics ("A" 1, "B" 1.5) scale 0
set ytics nomirror
set border 2
set lmargin at screen 0.3
unset key
set style data boxplot
plot demo . 'silver.dat' using (1):2:(.25) ps 0.3, \
     '' using (1.5):(5*$3):(.25) ps 0.3
     
#
# Dots
# ====
#
set output out . 'figure_dots' . ext
reset
set parametric
set samples 500
set isosamples 2,2 # Smallest possible
set view map
set lmargin screen 0.05
set rmargin screen 0.95
set tmargin screen 0.95
set bmargin screen 0.05
unset xtics
unset ytics
set xrange [-3:3]
set yrange [-4:4]
splot invnorm(rand(0)),invnorm(rand(0)),invnorm(rand(0)) with dots notitle

#
# Circles
# =======
#
reset
set output out . 'figure_circles' . ext
#set title "Circles of Uncertainty"
unset key
set size ratio -1
set xrange [-2.5:1.5]
set yrange [-1:2.5]
set xtics font ",10" format "%.1f" scale 0.5
set ytics font ",10" format "%.1f" scale 0.5
plot demo . 'optimize.dat' with circles lc rgb "gray" fs transparent solid 0.2 nobo,\
     demo . 'optimize.dat' u 1:2 with linespoints lw 2 pt 7 ps 0.3 lc rgb "black"
     
#
# Ellipses
# ========
#
reset
set output out . 'figure_ellipses' . ext
unset xtics; unset ytics

plot demo . 'ellipses.dat' u 1:2:3:4:5 with ellipses units xy title "with ellipses",\
     '' u 1:2:3:4:5 with ellipses units xx notitle,\
     '' u 1:2:3:4:5 with ellipses units yy notitle

#
# 2D heat map from an array of in-line data
# =========================================
#
reset
set output out . 'figure_heatmap' . ext
set title "2D Heat map from in-line array of values" offset 0,-1
$HEATMAP << EOD
5 4 3 1 0
2 2 0 0 1
0 0 0 1 0
0 1 2 4 3
EOD
unset key
set bmargin 1
set tmargin 3
set tics scale 0
unset cbtics
unset xtics
set xrange  [-0.5:4.5]
set x2range [-0.5:4.5]
set yrange  [3.5:-0.5]
set x2tics 0,1
set ytics  0,1
set palette rgbformula -3,-3,-3
plot $HEATMAP matrix with image
#
# 3D Plot styles
# ==============
#
reset
set view 75, 33, 1.0, 0.82
set view 69, 200, 1.18, 0.82
set bmargin at screen 0.3
unset key
set samples 20, 20
set isosamples 21, 21
#set xlabel "X axis" rotate parallel offset 0,-1
#set ylabel "Y axis" rotate parallel offset 0,-1
#set zlabel "Z axis" 
#set zlabel  offset 2,0 rotate by -90
unset xtics
unset ytics
unset ztics
set border lw 2.0
set xrange [-3:3]
set yrange [-3:3]
set zrange [-1.5:1]
set hidden3d offset 1

set title "3D surface plot with hidden line removal"  offset 0,1
set output out . 'figure_surface' . ext
splot sin(x) * cos(y) with lines lt -1

set contour base
set cntrparam levels auto 9
unset key
set title "3D surface with projected contours" 

set output out . 'figure_surface+contours' . ext
splot sin(x) * cos(y) with lines lt -1

unset view
set view map
set xrange [-3:2]
set yrange [-2:3]
unset surface
unset grid
set xlabel "X axis" offset 0,2 
set ylabel "Y axis" rotate
set tmargin
set rmargin
set lmargin at screen .1
set bmargin at screen .15
set title "projected contours using 'set view map'" offset 0,-1

set output out . 'figure_mapcontours' . ext
set style textbox opaque noborder margins 0.25,0.25
set cntrlabel font ",8"
splot sin(x) * cos(y), sin(x) * cos(y) with labels boxed

#
# RGB image mapping
# =================
#
reset
set output out . 'figure_rgb3D' . ext
set title "RGB image mapped onto a plane in 3D" offset 0,1
set xrange [ -10 : 137 ]
set yrange [ -10 : 137 ]
set zrange [  -1 :   1 ]
set xyplane at -1
set bmargin at screen 0.25
set xtics offset 0,0 font ",10"
set ytics offset 0,0 font ",10"
set view 45, 25, 1.0, 1.35
set grid
unset key
set format z "%.1f"
splot demo . 'blutux.rgb' binary array=128x128 flip=y format='%uchar%uchar%uchar' with rgbimage

#
# Rescale image as plot element
# =============================
#
reset
set output out . 'figure_scaled_image' . ext
set title "Rescaled image used as plot element"

set xrange [ -10 : 150 ]
set yrange [   0 : 200 ]
set y2range[   0 : 200 ]

set y2tics
set grid y

set key title "Building Heights\nby Neighborhood"
set key box

set xtics   ("NE" 72.0, "S" 42.0, "Downtown" 12.0, "Suburbs" 122.0)  scale 0.0

plot demo . 'bldg.png' binary filetype=png origin=(0,0)  dx=0.5 dy=1.5 with rgbimage notitle, \
     demo . 'bldg.png' binary filetype=png origin=(60,0) dx=0.5 dy=1 with rgbimage notitle, \
     demo . 'bldg.png' binary filetype=png origin=(30,0) dx=0.5 dy=0.7 with rgbimage notitle, \
     demo . 'bldg.png' binary filetype=png origin=(110,0) dx=0.5 dy=0.35 with rgbimage notitle

#
# Demonstrates how to pull font size from a data file column
# ==========================================================
#
reset
Scale(size) = 0.25*sqrt(sqrt(column(size)))
CityName(String,Size) = sprintf("{/=%d %s}", Scale(Size), stringcolumn(String))

set termoption enhanced
set output out . 'figure_labels1' . ext
unset xtics
unset ytics
unset key
set border 0
set size square
set datafile separator "\t"
plot demo . 'cities.dat' using 5:4:($3 < 5000 ? "-" : CityName(1,3)) with labels

#
# Following example plots will be set in colour mode for pdf output
#
if (GPVAL_TERM eq "pdfcairo") \
    set term pdfcairo color font fontspec size 3.5,2.0 dashlength 0.2

#
# Use of `keyentry` to construct a key
# ====================================
#
reset
set output out . 'figure_keyentry' . ext
set title "Construct key from custom entries"
set tics scale 0
unset xtics
set xrange  [-0.5:4.5]
set x2range [-0.5:4.5]
set yrange  [3.5:-0.5]
set x2tics 0,1
set ytics  0,1
set palette rgbform -7,2,-7
unset colorbox
set style fill solid border lc "black"
set key outside right center reverse Left samplen 1
set key title "Outcomes" left

plot $HEATMAP matrix with image notitle, \
    keyentry with boxes fc palette cb 0 title "no effect", \
    keyentry with boxes fc palette cb 1 title "threshold", \
    keyentry with boxes fc palette cb 3 title "typical range", \
    keyentry with labels title "as reported in [12]", \
    keyentry with boxes fc palette cb 5 title "strong effect"

#
# Polar plot
# ==========
#
reset
set output out . 'figure_polar' . ext
unset border
set tmargin 2
set bmargin 2
set style fill   solid 0.50 border
set grid polar 0.523599 lt 0 lw 1
set key title "bounding radius 2.5"
set key at screen 0.95, screen 0.95
set key noinvert samplen 0.7
set polar
set size ratio 1 1,1
unset xtics
unset ytics
set ttics ("0" 0, "π/2" 90, "π" 180, "3π/2" 270)
set rrange [ 0.1 : 4.0 ]
butterfly(x)=exp(cos(x))-2*cos(4*x)+sin(x/12)**5
plot 3.+sin(t)*cos(5*t) with filledcurve above r=2.5 notitle, \
     3.+sin(t)*cos(5*t) with line

#
# Vectors
# =======
#
reset
set output out . 'figure_vectors' . ext
set label 1 "Vector field {/:Italic F(x,y) = (ky,-kx)}"
set label 1 at 0.5, 3.0 left
unset key
unset clip one
unset border
set style arrow 1 head filled size .2, 20. lw 2 lc "slateblue1"
set samples 5, 5
set isosamples 5, 5
set size ratio 1 1
set xzeroaxis
set yzeroaxis
set xtics axis add ("" 0)
set ytics axis add ("" 0)
set urange [ -2.0 : 2.0 ]
set vrange [ -2.0 : 2.0 ]

plot '++' using 1:2:($2*0.4):(-$1*0.4) with vectors as 1

     
#
# Missing Datapoints
# ==================
# (This is not an actual demonstration of the effect, just produces a lookalike)
# The pdf version of this is supplied seperately to better fit with the LaTeX document.
#
reset

$data1<<EOD
1 10
2 20
2 3
4 40
5 50
EOD
$data2<<EOD
1 10
2 20
4 40
5 50
EOD
$data3<<EOD
1 10
2 20

4 40
5 50
EOD

if (winhelp != 0) {
set output out . 'figure_missing' . ext

set xrange [0.1:5.9]
set yrange [1:55]
set xtics offset 0, graph .09

set multiplot layout 2,4 columnsfirst margins 0.15,.98,0.1,.98 spacing 0.1
set ylabel "Old"
set label 1 at .5,45 "(a)"
plot $data1 w lp pt 7 notitle
set ylabel "New"
plot $data2 w lp pt 7 notitle
unset ylabel
set label 1 at .5,45 "(b)"
plot $data2 w lp pt 7 notitle
plot $data2 w lp pt 7 notitle
set label 1 at .5,45 "(c)"
plot $data2 w lp pt 7 notitle
plot $data3 w lp pt 7 notitle
set label 1 at .5,45 "(d)"
plot $data3 w lp pt 7 notitle
plot $data3 w lp pt 7 notitle

unset multiplot
}

#
# New syntax features
# ===================
#
reset
set output out . 'figure_newsyntax' . ext

unset xtics
unset ytics
unset border
set yrange [-0.3:1.3]
set multiplot layout 2,2
fourier(k, x) = sin(3./2*k)/k * 2./3*cos(k*x)
do for [power = 0:3] {
    TERMS = 10**power
    set xlabel sprintf("%g term Fourier series",TERMS)
    plot 0.5 + sum [k=1:TERMS] fourier(k,x) notitle lt -1
}
unset multiplot


#
# Filledcurves used to represent error on y
#
reset
set output out . 'figure_yerrorfill' . ext
set logscale y
set ytics  norangelimit logscale autofreq 
set title "Ag 108 decay data" 
set xlabel "Time (sec)" 
set ylabel "Rate" 
Shadecolor = "#80E0A080"
plot 'silver.dat' using 1:($2+$3):($2-$3) with filledcurve fc rgb Shadecolor title "Shaded error region", \
     '' using 1:2 smooth mcspline lw 1.5  title "Monotonic spline through data"     
#
# Histograms
# ==========
#
reset
set style data histogram
set boxwidth 0.9 rel
set key auto column invert
set yrange [0:*]
set offset 0,0,2,0
unset xtics
set tmargin 1
#
set output out . 'figure_histclust' . ext
set style histogram clustered
plot demo . 'histopt.dat' using 1 fs solid 0.5, '' using 2 fs empty
#
set output out . 'figure_histerrorbar' . ext
set title "Histogram with error bars" offset 0,-1
set style fill solid border -1
set style histogram errorbars lw 2
plot demo . 'histerror.dat' using 2:3 fs solid 0.5 ti 'A', '' using 4:5 fs empty ti 'B'
#
set output out . 'figure_histrows' . ext
set style histogram rows
set title "Rowstacked" offset 0,-1
plot demo . 'histopt.dat' using 1 fs solid 0.5, '' using 2 fs empty
#
set output out . 'figure_newhist' . ext
set style histogram cluster
set style data histogram
unset title
set key auto column noinvert
set xtics 1 offset character 0,0.3
plot newhistogram "Set A", \
    demo . 'histopt.dat' u 1 t col, '' u 2 t col fs empty, \
    newhistogram "Set B" at 8, \
    demo . 'histopt.dat' u 1 t col, '' u 2 t col fs empty
#
set output out . 'figure_histcols' . ext
set style histogram columnstacked
set title "Columnstacked" offset 0,-1
set boxwidth 0.8 rel
set xtics

if (winhelp !=0) {
# greyscale rgb for png
set linetype 11 lc rgb "gray0"
set linetype 12 lc rgb "white"
set linetype 13 lc rgb "gray40"
set linetype 14 lc rgb "gray70"
set style fill solid 1.0 border -1

plot newhistogram lt 11, \
     'histopt.dat' using 1 title column, \
     '' using 2 title column
} else {
# patterned fill for pdf
# set style fill pattern
plot 'histopt.dat' using 1 title column, \
     '' using 2 title column
}


#
# Parallel axis plot
# ==================
#
reset
set output out . 'figure_parallel' . ext
unset border
unset key
set xrange [] noextend
unset ytics
set xtics 1 format "axis %g" scale 0,0
set for [axis=1:4] paxis axis tics
set paxis 2 range [0:30]
set paxis 4 range [-1:15]
set paxis 4 tics  auto 1 left offset 5

plot 'silver.dat' using 2:3:1:($3/2):(int($0/25)) with parallel lt 1 lc variable

#
# Filled curves
# =============
#
reset
set output out . 'figure_filledcurves' . ext
set style fill solid 0.75 border -1
set xrange [250:500]
set auto y
set key box title "with filledcurves"
plot demo . 'silver.dat' u 1:2:($3+$1/50.) w filledcurves above title 'above' lc rgb "honeydew", \
               '' u 1:2:($3+$1/50.) w filledcurves below title 'below' lc rgb "dark-violet", \
               '' u 1:2 w lines lt -1 lw 1 title 'curve 1', \
               '' u 1:($3+$1/50.) w lines lt -1 lw 4 title 'curve 2'

#
# Bee swarm plots
#
reset
set output out . 'figure_jitter' . ext
npts = 60
set print $data
do for [i=1:npts] {
    print sprintf("%d %8.5g", (i%5) ? 3 : 4, 25.+10.*invnorm(rand(0)))
}
unset print
set xrange [2.5:4.5]
set xtics ("A" 3, "B" 4)
set border 2
set xtics nomirror scale 0
set ytics nomirror rangelimited scale 0
unset key

set multiplot layout 1, 2 
set jitter over 0.5 spread 1.6 swarm
set title "swarm (default)"
plot $data using 1:2:1 with points pt 6 ps 0.8 lc variable
set jitter over 0.5 spread 1.6 square
set title "square"
replot
unset multiplot

# Custom key placement
reset
set output out . 'figure_multiple_keys' . ext
set xtics font ",6"  offset 0,1
set label 1 font ",10"
set key font ",9" spacing 0.5
load demo . 'custom_key.dem'

# Fence plot
reset
set output out . 'figure_fenceplot' . ext
set title "fence plot constructed with zerrorfill" 
unset key
set zrange [-1:1]
set xtics ( "A" -2, "B" -1, "C" 0, "D" 1, "E" 2 ) scale 0 offset -1
set xrange [-3:2]
set xyplane at -1.1
set yrange [-0.5:0.5]
set ytics format "  %.1f" scale 0
set ylabel "Y value"  rotate parallel offset -2
unset ztics
set zlabel "Z value" rotate offset 5
sinc(u,v) = sin(sqrt(u**2+v**2)) / sqrt(u**2+v**2)
set style fill  solid 0.5 noborder
splot for [x=-2:2][y=-50:50:3] '+' using (x):($1/100.):(-1):(-1):(sinc($1/10., 1.+2*x)) with zerrorfill
reset

# close last file
unset outp

reset