Symmetric axes in gnuplot - gnuplot

I want to draw a contour plot with gnuplot, where I want to point out some special features with special colors.
I define the contour plot by
set pm3d map
set palette defined (-1 "red", -0.1 "red", 0 "white", 0.1 "blue", 1 "blue")
This results in a color gradient which has a small area with a gradient from red to white to blue and the remaining part is red for negative numbers and blue for positive numbers.
My problem is now, that I would like to set gnuplot automatically to a symmetric scaling of the z-axis. But by specifying splot [][][-200:200] 'data' u 1:2:3 and a dataset with values from e.g. -300 to 100 gnuplot does an automatic rescale to [-200:100] which results in a misalignment of my colorscale (the white area is now around -50).
Is there a way to force a zrange or get an automatically symmetric scaled axis?

I'm not sure I understand the problem, but have you considered:
set cbrange [-200:200]
From the documentation:
The `set cbrange` command sets the range of values which are colored using
the current `palette` by styles `with pm3d`, `with image` and `with palette`.
Values outside of the color range use color of the nearest extreme.

To force a z range, try
set zr [-200:200]
before your plot command. To automatically scale the axis you could probably cook something up using stats. The main trick is to keep in mind that the color bar is in relative units. Something like this (untested):
datafile = 'data.dat'
stats datafile u 3 nooutput
# assume you want some data positive and some negative
if (stats_max*stats_min > 0) {
print 'WARNING: all data has same sign. Color bars may be weird.'
}
z0 = -1*min(abs(0.1*stats_min),abs(0.1*stats_max))
z1 = 0.0
z2 = -1*z0
set palette defined (stats_min "red", z0 "red", z1 "white",
z2 "blue", stats_max "blue")

Related

Plotting intersecting lines in GNUplot

I haven't been able to find any example of what I'm trying to do in GNUplot from raking docs and demos.
Essentially I want to plot the Blue, Green, and Red lines I manually drew on this output (for demonstration) at the 10/50/90% marks.
EDIT: For clarity, I'm looking to determine where the distribution lines hit the cumulative distribution at 0.1/0.5/0.9 to know which co-ordinates to draw the lines at. Thanks!
set terminal png size 1600,800 font "Consolas" 16
set output "test.png"
set title "PDF and CDF - 1000 Simulations"
set grid y2
set ylabel "Date Probability"
set y2range [0:1.00]
set y2tics 0.1
set y2label "Cumulative Distribution"
set xtics rotate by 90 offset 0,-5
set bmargin 6
plot "data.txt" using 1:3:xtic(2) notitle with boxes axes x1y1,'' using 1:4 notitle with linespoints axes x1y2
Depending on the number of points in your cumulative data curve you might need interpolation. The following example is chosen such that no original data point will be at your levels 10%, 50%, 90%. If your data is not steadily increasing, it will take the last value which matches your level(s).
The procedure is as follows:
plot your data to a dummy table.
check when Level is between to successive y-values (y0,y1).
remember the interpolated x-value in xp.
draw arrows from the borders of the graph to the point (xp,Level) (or instead use the partly outside rectangle "trick" from #Ethan).
Code:
### linear interpolation of data
reset session
set colorsequence classic
set key left
# create some dummy data
set sample 10
set table $Data
plot [-2:2] '+' u 1:(norm(x)) with table
unset table
Interpolate(yi) = x0 + (x1-x0)*(yi-y0)/(y1-y0)
Levels = "0.1 0.5 0.9"
do for [i=1:words(Levels)] {
Level = word(Levels,i)
x0 = x1 = y0 = y1 = NaN
set table $Dummy
plot $Data u (x0=x1,x1=$1,y0=y1,y1=$2, (y0<=Level && Level<=y1)? (xp=Interpolate(Level)):NaN ): (Level) w table
unset table
set arrow i*2 from xp, graph 0 to xp,Level nohead lc i
set arrow i*2+1 from xp,Level to graph 1,Level nohead lc i
}
plot $Data u 1:2 w lp pt 7 lc 0 t "Original data"
### end code
Result:
It is not clear if you are asking how to find the x-coordinates at which your cumulative distribution line hits 0.1, 0.5, 0.9 (hard to do so I will leave that for now) or asking how to draw the lines once you know those x values. The latter part is easy. Think of the lines you want to draw as the unclipped portion of a rectangle that extends off the plot to the lower right:
set object 1 rectangle from x1, 0.1 to graph 2, -2 fillstyle empty border lc "blue"
set object 2 rectangle from x2, 0.1 to graph 2, -2 fillstyle empty border lc "green"
set object 3 rectangle from x3, 0.1 to graph 2, -2 fillstyle empty border lc "red"
plot ...

Can't use palette to fill object with colour

I was trying to plot number of particles in a square lattice. and I need each one to be coloured different. So I tried using palette.. by picking some random numbers but it always gives me black rectangles.. what should I do?
set obj rect from 1,5 to 2,6 fc palette 0.454545 → this is what is not working for me.
This is the image with all same color. I need different colour for each particle:
Plot using the boxxyerror style, and fill the boxes:
set size ratio -1
set style fill solid
plot 'file.dat' using 1:2:(0.1):(0.1):3 linecolor palette with boxxyerror
This would plot a square of size 0.2 at each position given by the first and second columns. The color is taken from the third column and mapped to the current palette. You must adapt that to your actual data format.
Working example using random pseudo-data ('+'):
set xrange [-0.05:1.05]
f = "int(rand(0) * 20)/20.0"
set style fill solid
set size ratio -1
plot '+' using (#f):(#f):(0.025):(0.025):(#f) linecolor palette notitle with boxxyerror
see What I gotI could get this working,what I did is initially set the pallette by the commands like "set palette model RGB defined ( 0 'green', 1 'blue', 2 'red', 3 'orange' )" ,"set palette model HSV defined ( 0 0 1 1, 1 1 1 1 )"(I got these from here-http://gnuplot.sourceforge.net/demo/pm3dcolors.html). Then I set rectangles as "set obj rect from x1,y1 to x2,y2 fc palette frac 0.57" . But I could see that there were some gaps between the squares and I could understand that it was because of problem with border so I added this "fs border palette frac 0.57",same colour. Even after doing these It wouldn't come out by the simple command "plot 0". So I had to modify it as "plot 0 lc palette frac 0.24 " (0.57 / 0.24 I just meant as example.. as you know it would be anything between 0 and 1). Now to remove the colorbox I used "unset colorbox". But why I had to write "plot 0 lc palette frac 0.24 " ?, to wakeup the palette? ,Is there any other way to show out the rectangles that we have already set without using a plot command ?

Gnuplot: fill area bounded by curves left/right?

I have a dataset that defines two curves, and I want to fill the area between them. However, contrary to the standard situation, the abscissa is to be plotted on the vertical axis and the ordinates on the horizontal one; the abscissa indicates depth, this is a common plotting format in geophysics. In other words, I want something like
plot 's.dat' u 1:2:3 w filledcurves
but with swapped axes so that the filled area is bounded not at the top and bottom but to the left and right by the curves as seen in
plot 's.dat' u 2:1,'s.dat' u 3:1
My dataset is like this:
0. -1.776 -0.880
160. -1.775 -0.882
160. -1.692 -0.799
320. -1.692 -0.800
320. -1.531 -0.634
480. -1.534 -0.637
480. -1.286 -0.394
Is this possible in Gnuplot?
Thomas
This is a totally different solution using 3D plot style "with zerror".
You will need current gnuplot (version 5.2) for this. The plot style was really not designed for this so there are some difficulties (e.g. x tic marks invisible because drawn perpendicular to the plane of the plot, all tic labels requiring an offset for readability).
#
# [mis]use 3D plot style "with zerror" to create a plot of the xz
# plane with area fill between two sets of data points with
# equal coordinates on the vertical axis (x) but contrasting
# values on the horizontal axis (z).
#
set view 270, 0
set view azimuth -90
set xyplane at 0
unset ytics
set ztics offset 4, -2 out
set xtics offset 4
splot 's.dat' using 1:(0):(0.5*($2+$3)):2:3 with zerror notitle
If there is some value of x which is guaranteed to lie between the two curves then you can plot in two halves. For the data you show, x=-1 would be a suitable value and the plot command would be:
plot 's.dat' u 2:1 with filledcurve x=-1 lt 3, \
's.dat' u 3:1 with filledcurve x=-1 lt 3
If the requirement for a constant intermediate x value can only be
satisfied piece-wise, e.g.
x=-1 for (0<y<500), x=0 for (500<y<1000)
then it may nevertheless be possible to construct a graph by stacking
the piecewise sections.
A simple way would be to define a closed line and fill it. For this, you take column 2 and add the reversed column 3. You probably need gnuplot >=5.2 for this.
Code:
### fill between vertical curves
reset session
$Data <<EOD
0. -1.776 -0.880
160. -1.775 -0.882
160. -1.692 -0.799
320. -1.692 -0.800
320. -1.531 -0.634
480. -1.534 -0.637
480. -1.286 -0.394
EOD
set print $Outline
do for [i=1:|$Data|] {
print sprintf("%s %s", word($Data[i],2), word($Data[i],1))
}
do for [i=|$Data|:1:-1] {
print sprintf("%s %s", word($Data[i],3), word($Data[i],1))
}
set print
plot $Outline w filledcurve lc rgb "green"
### end of code
Result:

gnuplot - filled curve with palette color

I'm trying to plot a histogram in gnuplot, where the bars are characterized by their color (intensity) instead of their height (frequency). To do so, I want to fill each bar with a color corresponding to the third column (which stands for this intensity) of a data file, defined in a palette. All the bars have the same height y=1 and the same width dx=1. The important part of the script looks like
plot for [ii=0:N] 'data.dat' index ii u 1:2:3 w filledcu y1=0 lc palette
My problem is that the ii=0 takes the right color of the palette and fills the first bar, but from there on all the others are the same color ( same intensity ) than ii=0.
My data file looks like:
X Y Intensity
1 1 0.6
2 1 0.6
...
Any idea to fill with the right color ?
The filledcurves plotting style doesn't support color gradients, see Gnuplot filledcurves with palette.
Since you have the same height for every bar, you can use the boxes plotting style:
set style fill solid noborder
plot 'data.dat' using 1:2:3 with boxes lc palette

Reduce distance between points in splot

I have this gnuplot script
reset
set palette model RGB defined (0 "gray", 0.1 "white", 0.33 "yellow", 0.66 "orange", 1 "red")
set xlabel "x"
set ylabel "y"
set view map
set border 0
unset xtics
unset ytics
splot file_name u 1:2:5:xtic(3):ytic(4) w points ps 5 pt 5 palette
And this is the result:
How can I remove the distance between the points so that I end up with a set of adjacent squares? I want to plot a heatmap with a square for each point in my grid file.
EDIT
The correct way to plot a "grid" heatmap as per #andyras answer is:
set pm3d map
plot file_name u 1:2:5:xtic(3):ytic(4) with image
Which gives this image:
gnuplot offers a third way to plot a heatmap based on connecting points of a 3d surface, rather than grid cells. That is, the x,y coordinates at columns 1,2 are used as corners, or connecting points, of a surface mesh and the colors used in each region are the average of the RGB/HSV values for the 4 defining corners:
set pm3d map
splot file_name u 1:2:5:xtic(3):ytic(4)
I usually go with the options
set pm3d map
plot file_name u 1:2:5:xtic(3):ytic(4) with image
for gridded data (it makes a smaller file if you use vector formats). I suspect your problem may be to do with the fact that you specify a point style and size for your splot. So, you could try setting the pm3d map option and using splot without the point specification, or plot ... with image.

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