Gnuplot: Polar plot showing variable ranges - gnuplot

I've got a dataset of angle ranges that I'd like to represent as a polar plot.
The format is as follows:
[Radius]\t[Range 1 lower] [Range 1 upper]\t[Range 2 lower] [Range 2 upper]...
A typical data line looks like this:
1.181 0 0 31.8196 38.3883 141.612 148.18 180 180 211.82 218.388 321.612 328.18
The number of ranges per line can differ, there are also lines without any ranges. Ideally I'd like to end up with a polar plot, where at a given radius the angle between the lower and upper limit of each range is filled, while the rest of the plot is empty.
The ranges do not overlap, but some of them have the same angle as lower and upper limit (for instance the "0 0" range in the example above), what should still be visible, as (as always) those single point and hardly-visible details in the calculation turned out to be those observed in experiment...
For now I've changed the C-program that outputs said ranges to give me a cloud of points with polar coordinates which I plot with dots, but I'd really prefer a kind-of vectorial plot with filled areas, as that'd mean (much) lower file size, and would allow zooming...
Any help would be appreciated, thanks in advance, Andreas

There are purely gnuplot 4.4+ solutions, but they will be intricate. One reason is that polar plotting of data files is not done with polar interpolation, but linear interpolation (straight lines between the endpoints). I would rather have the C program output the gnuplot commands to plot your data directly, e.g.
set polar
set angles degrees
plot (t<38.3883&t>31.8196)?1.181:1/0 with filledcurves above r=0, \
(t<...
I'd advise to treat the 0-range cases separately with set arrow from 0,0 to r*cos(angle),r*sin(angle).
I'm not sure the file will be so much smaller, again gnuplot will generate a polyline to approximate the arc of circle at r=1.181. If you want a small file with actual arcs of circle, you may want to generate svg code directly from your C code.

Related

Gnuplot: 3D plot scattered data with color

How can I plot (many) uncorrelated points from a data file in 3D with color corresponding to the value of one column? The color-value is non-integral.
======================================================================
details:
I have a large data file with three columns of the form
longitude latitude color
The data is scattered and uncorrelated, i.e. no underlying grid and no relationship between the points (except that every coordinate appears only once). color is an arbitrary scalar. I know the min and the max value of that, and would like to have linear scaling of the color in between. Which colormap is not clear atm, a first step would be to produce any meaningful output.
How can I plot dots on the longitude-latitude coordinates on the unit sphere (i.e. radius = 1) with the specified color?
No interpolation is wanted, not even a connection between the points. (I'm also happy for suggestions how to do that in an easy way, but it's actually not important)
This is how far I've gone, but the coloring is missing:
set mapping spherical
splot 'the_file.data' u 1:2:(1)
Thanks a bunch!
You can use linecolor palette, which allows you to specify an additional column which is used to select the respective color from the current palette:
set mapping spherical
splot 'the_file.data' using 1:2:(1):3 linecolor palette

Gnuplot - Plot data on another abscissa by interpolation

Good evening,
I have a problem with Gnuplot. I tried to sum up my problem to make the comprehension easier.
What I have : 2 sets of data, the first one is my experimental data, about 20 points, the second one is my numerical data, about 300 points. But the two sets don't have the same abscissa.
What I want to have : I want my numerical data be interpolate on the x-experimental abscissa.
I know it is possible to do that with Xmgrace (paragraph Interpolation at http://plasma-gate.weizmann.ac.il/Xmgr/doc/trans.html#interp) but with Gnuplot ?
What I want to have in addition : is it possible, then, to subtract the y-experimental data of my y-numerical data at the x-experimental abscissa points ?
Thank you in advance for your answer,
zackalucard
You cannot interpolate the ordinate values of one set to the abscissa values of the other. gnuplot has no mechanism for that.
You can however plot both datasets using one of the smoothing algorithms (check "help smooth") with common abscissa values (which might (be made to) coincide with the original values of one set.)
set table "data1.tmp"
plot dataf1 smooth cspline
set xrange [GPVAL_x_min:GPVAL_X_max] # fix xrange settings
set table "data2.tmp"
plot dataf2 smooth cspline
unset table
Now you have the interpolated data in two temporary files, and only need to combine them into one:
system("paste data1.tmp data2.tmp > correlation.dat") # unixoid "paste" command
plot "correlation.dat" using 2:4
(If you have a sensible fit function for both datasets, the whole thing becomes much easier : plot dataf1 using (fit1($1)):(fit2($1)))
You can use smoothing, this should do the trick
plot "DATA" smooth csplines
(csplines is just one options, there others, e.g. bezier)
But I don't think you can automatically determine the intersection of the smoothed curved. You use the mouse to determine the intersection visually, or alternatively fit some functions f(x) and g(x) to your curves and solve f(x)=g(x) analytically

Inversed logarithmic scale in gnuplot

When plotting data which are very dense in small ranges of y, the logarithmic scale of gnuplot is the right scale to use.
But what scale to use when the opposite is the case? let's say most y values of different curves are between 90 and 100. In this case I want to use something like a inversed logarithmic scale. I tried a log scale between 0 and 1 but gnuplot wants me to choose a scale greater than 1
How can I achieve this?
You are right, you can use the inverse of the logarithmic function, which is the exponential. But gnuplot only supports logarithmic scales, so you have to do the conversion on your own:
plot "myData" using 1:(exp($2))
You will also have to handle the axis tics on your own. Either you just set them via a list like
set ytics ("0" 1.00, "1" 2.72, "2" 7.39, "3" 20.09, "4" 54.60, "5" 148.41)
or you use the link feature for axes of gnuplot 5. The following code uses the y2axis (right y-axis) to plot the data and calculates the tics on the left y-axis from the right one.
set link y via log(x) inverse exp(x)
plot "myData" using 1:(exp($2)) axes x1y2
Side note: Always remember that a non-linear axis is hard to understand. Logarithmic scales are common, but everything else not. So, be careful when presenting the data

How to plot on 2 different scales on an axis in gnuplot

I want to plot some data on x axis range [0:1] and y axis range [0:100], but on the x axis I have most of my data in range [0:0.1] and less data in the rest of the range. I thus wanted to expand the [0:0.1] range. I cannot use a logarithmic scale for the x axis as I have some data which is 0 and I cannot plot it if I use a logarithmic scale. Is there a way for plotting this in Gnuplot?
Ideally I would want to apply a logarithmic scale to the x axis, but start my plot from 0. That would help me to cover all the data and highlight the [0:0.1] range as well. Can it be done?
As you noted, it is impossible to have a logarithmic scale with a 0. I would use two graphs side by side, with separate x axes. You can do this through set multiplot layout 1,2.
I agree with Svante. An other option would be to introduce a second x-axis in the same plot. Then one x-axis would scale from 0:0.1 and the other would scale from 0:1. Depending on your data however this approach could be very confusing but I think especially if your data is primarily located between 0:0.1 this could work.

gnuplot: display only the roots

Gnuplot, a great package ... I'm in love with it. But we can have our tiffs as well, as any couple :-)
This time, I wanted to simply plot the roots of an equation: say a quadratic to keep things simple. However, I only want two nice round dots appearing on the x-axis representing the point where the quadratic crosses the x-axis or y=0 axis. In other words the roots (when they are real that is).
I don't want to do this with datafile ... I want gnuplot to calculate the roots and plot them.
First off, my attempts: single points aren't really what gnuplot would have you plot, it likes a good wide range of values. Preferably filling up the whole width of your canvas.
It's possible to locate a rectangle at a certain coordinate on your plot, but I wanted a round point. Currently I'm chasing up how to do a tiny filled polygon at that point. I have tried the "samples" option bu it doesn't seem useful.
Also though about defining a dirac-delta function so that only one point would be highlighted (though two would be needed).
ANy suggestions welcome, thanks.
there is a way, but it takes just a little bit of fiddling
narrowness=1
set yrange [0:10]
set xrange [-10:10]
poly(x)=(x**2+3*x-2)
roots(x) =floor(narrowness*poly(x))?1/0:0
plot roots(x) w points pt 7
depending on the function and the range you will need to set the width differently. if you see too many circles increase the narrowness, if you see too few (aka. none) decrease the narrowness
Cheers!
/B2S
oh, and PS. to increase accuracy set samples to some higher value
And Alternatively if you happen to already know the roots, say r1(2,0) and r2(-1,0) then you can plot them using
plot '-' with points pt 7
2 0
-1 0
e
Not sure if this really helps, but if you can define a custom function to calculate the roots, gnuplot will display it.

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