Plot line segments from a datafile with gnuplot - gnuplot

I have a datafile of following format (4 columns):
Size Xmid Ymid Angle
I want to plot line segments whose size is given in column 1, coordinates of the midpoint are given in columns 2 and 3, and angle with the x-axis is given in the last column.
How can I do that with gnuplot?

You can use the vectors plot style. It requires the data to be supplied as x y xdelta ydelta, where x,y denote the coordinates of the line-segment origin, and xdelta/ydelta stand for the corresponding displacements to the end point. However, this can be easily calculated from your input:
#this specifies that Gnuplot will expect angles in degrees
set angles degrees
plot 'input.dat' \
u ($2 - $1*cos($4)/2):($3 - $1*sin($4)/2):($1*cos($4)):($1*sin($4)) \
w vectors nohead \
lc rgb 'black' lw 2

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 ...

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 fill area under curve alternatively

I am having some difficulty generating a plot of a data set that is oscillating between negative and positive values (line a sin or cos). My goal is to fill the area under the curve with alternating colour: negative region with blue and positive with red. To be more precise I want to fill the area between the curve and the x axis. So far i managed to plot the curve with alternating colours (blue for negative, red for positive) using:
set palette model RGB defined ( 0 'red', 1 'blue' )
unset colorbox
plot 'data.set' u 1:2:( $2 < 0.0 ? 1 : 0 ) w lines lt 1 lw 4 palette
Unfortunately if I replace w lines with filledcurves I don't get an alternate fill. How can one accomplish this?
Cheers
If I understood the question correctly, you can try this:
plot '+' using 1:(0):(sin($1)) w filledc below, \
'+' using 1:(0):(sin($1)) w filledc above
which is telling gnuplot to fill the area between two curves (sin(x) and 0), using the above and below positions. There is another solution as well:
plot '+' using 1:(sin($1) > 0 ? sin($1):0) w filledcurves y1, \
'+' using 1:(sin($1) < 0 ? sin($1):0) w filledcurves y2
and the result would be:
The important part refers to the options part of filledcurves. See more details here and here.

How do I plot 2-dimensional data in circles where radius representing the 3rd column and the color representing the 4th column?

Here is an example data set.
#x y r c
1 2 10 2
3 1 2 4
3 2 1 5
I can plot with circle's radius representing the 3rd column OR with color representing the 3rd column. However, I don't know how to keep them both in the plot.
Here is my code to plot with radius representing the 3rd column.
plot 'rslt.log' u 1:2:3 w points pt 7 ps variable
Try:
plot 'rslt.log' u 1:2:3:4 w points pt 7 ps variable lc palette
An alternative is:
plot 'test.dat' u 1:2:3:4 w p pt 7 ps variable lc variable
or using the circles linestyle:
plot 'test.dat' u 1:2:3:4 w circles linecolor variable
If you want solid filled circles:
plot 'test.dat' u 1:2:3:4 w circles linecolor variable fillstyle solid
For any of the above, you can substitute linecolor variable with linecolor palette as suggested by #andyras. The difference is that palette maps a floating point number onto the palette whereas variable maps the integer to a linestyle which has a color associated with it.
With ps variable the number in the associated column becomes a multiplicative factor which increases the default size of the point. With circles you have the freedom to specify the exact size of the circle (as the radius) -- Although I'm not 100% sure which axis is used in the common case where the aspect ratio of your plot isn't 1.

gnuplot: 3D plot of a matrix of data

How can I plot (a 3D plot) a matrix in Gnuplot having such data structure,
using the first row and column as a x and y ticks (the first number of the first row is the number of columns) ?
4 0.5 0.6 0.7 0.8
1 -6.20 -6.35 -6.59 -6.02
2 -6.39 -6.52 -6.31 -6.00
3 -6.36 -6.48 -6.15 -5.90
4 -5.79 -5.91 -5.87 -5.46
Exactly this data format can be read in with matrix nonuniform:
set view 50,20
set ticslevel 0
splot 'data.txt' matrix nonuniform with lines t ''
This generates the correct tics, like specified in the data file:
To plot a 4D plot, using colour as the 4th dimension, you can use
splot '1.txt' using 2:3:4:5 every ::1 palette
# | |
# | |
# used for 3d plots skip the header line
Or do you want to draw a different picture, with x and y being the first column and line, and the numbers in the matrix just represinting z? Then use the following:
splot '1.txt' every ::1:1 matrix
To add some effects, you can change it to
set dgrid3d 4,4
splot '1.txt' every ::1:1 matrix with lines

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