Drawing an arrow in front of one curve and behind another in gnuplot - gnuplot

I'm using gnuplot to draw a cone with an arrow pointing upwards through the cone's axis of symmetry. The only problem is that I can't figure out how to fit the arrow correctly into the 3D perspective of the picture. By default, the arrow is displayed behind the entire cone. If I add the "front" option to the arrow, it is displayed in front of the entire cone. But, viewed in perspective, the arrow should be in front of the back half of the cone, and behind the front half of the cone.
The obvious solution is to split the function drawing the cone into two halves and make the arrow in front of one curve and behind the other. Is there a way to do that (i.e., manually set the order in which curves and other objects are drawn)? If not, does anyone have a good workaround? (The only one I can think of is to draw the arrow manually using lines, but I'd like to avoid that if possible.)
Here is a minimal working example. I'm using a fine mesh so that the effect is clearly visible.
set arrow 1 from 0,0,0 to 0,0,1 lw 2
set isosamples 100
set xrange [-1:1]
set yrange [-1:1]
set zrange [-1:1]
set zrange [0:1]
splot sqrt(x**2+y**2)
To see what's wrong with simply using the "front" option as a fix, replace the first line with:
set arrow 1 from 0,0,0 to 0,0,1 lw 2 front
Thanks in advance for any help!
Edit: I realized after posting that this can be done with multiplot. But it seems like there should be a better solution, so please let me know if you think of one.

To hide lines partially, one can usually use set hidden3d, but that does not affect arrows placed with set arrow. However it affects arrows drawn with the vectors plotting style:
set hidden3d
splot sqrt(x**2+y**2), '< echo "0 0 0 0 0 1"' with vectors
But now, one part of the arrow is hidden completely behind the surface and doesn't shine through between the surface lines. For this you can set additionally a second arrow with set arrow back ...:
set isosamples 100
set xrange [-1:1]
set yrange [-1:1]
set zrange [-1:1]
set zrange [0:1]
set hidden3d nooffset
set style arrow 1 lw 2 head filled size 0.1,20,70
unset key
set arrow nohead from 0,0,0 to 0,0,1 as 1 back
splot sqrt(x**2+y**2), '< echo "0 0 0 0 0 1"' with vectors arrowstyle 1
That gives (with 4.6.4):

Related

gnuplot multiplot layout not being overridden by set origin, ways to position subplots

This question is to some part identical to what has already been asked here. But the referenced question never received the answer to the point whether the issue presented here is a bug or documentation confusion.
Documentation states with respect to the layout option of multiplot:
With the layout option you can generate simple multiplots without
having to give the set size and set origin commands before each plot:
Those are generated automatically, but can be overridden at any time.
My understanding of that text is that layout sets origin and size and at any time, i can change those specifications. Then this should work:
set xrange [0:10]
set multiplot layout 3,1 margins 0.1,0.95,0.12,0.95 spacing 0,0
unset key
plot cos(x) axes x1y1 w l ls 3 notitle
plot sin(x) axes x1y1 w l ls 3 notitle
set key bottom center out horizontal
plot sin(x) axes x1y1 w l ls 3 notitle
set origin 0.3,0.5
set size 0.2,0.1
set xrange [1:2]
plot cos(x) axes x1y1 w l ls 3 notitle
unset multiplot
But it does not. gnuplot completely ignores set size and set origin commands. What it should do is to plot 3 plots under each other and then create an inset at screen position (0.3,0.5) of size relative to canvas (0.2,0.1).
My questions are:
Is this a bug that should be reported or is this poorly formulated documentation issue (that layout can be overridden by set position and set size)?
multiplot offers two ways to position the sub-plots, set origin + set size and set *margin where * stands for one of b,t,l,r. Can someone provide a deeper explanation when one should use which? (For me it feels the proper way that was meant to do it is set origin and margins just became a dirty trick that works but was not meant for that)
What would be the cleanest way to produce the plot that I am looking for that would be easily reproducible (for any other problem, not just 3 plots but any plots and without some tedious calculations of positions)?
Is there a way to print the settings of origin, size, margins and any other relevant settings that are automatically calculated (and used) when the layout option is specified?
My guess would be that it is a bit unclear documentation.
It's a matter of taste and convenience and depends on your situation. Setting origin and size is setting the place for the (sub-)"canvas". This (sub-)"canvas" still can have some individual b,t,l,r margins. Note, margins are the space between graph border and canvas-border.
Apparently, the margins which you are setting in the multiplot layout are kept for your extra plot.
So, apparently you have to reset them, e.g. set margins 0,0,0,0. And then you are probably getting your intended plot.
I am not aware that you can extract the automatically calculated values for margins. There are no such values
listed in show var GPVAL.
Code:
### multiplot layout with manual origin and size
reset session
set xrange [0:10]
unset key
set ytics 0.5
set multiplot layout 3,1 margins 0.1,0.95,0.12,0.95 spacing 0,0
plot cos(x) axes x1y1 w l ls 3 notitle
plot sin(x) axes x1y1 w l ls 3 notitle
set key bottom center out horizontal
plot sin(x) axes x1y1 w l ls 3 notitle
set margins 0,0,0,0
set origin 0.3,0.5
set size 0.2,0.1
set xrange [1:2]
plot cos(x) axes x1y1 w l ls 3 notitle
unset multiplot
### end of code
Result:

Gnuplot: How to continue a pm3d plot to the outside of the set range?

I have a problem with plotting my data points with pm3d in gnuplot. In my data file, the points (2-dim domain) are not rectangular aligned, but parabolic as shown in this figure, where the data points are not aligned exactly above each other. My goal is to create a heatmap with pm3d for a specific xrange where the heatmap is continued to the borders of the selected xrange.
What I did:
Plotted the data set with pm3d using the following minimal code example:
set terminal qt
set xrange [-0.25:1.00]
set view map
splot "data.txt" u 1:2:3 with pm3d
What I got:
A heatmap of my data file, but with ugly corners at the border points at where I cut my x-domain, because the border points are not aligned "above" each other.
What I expected:
A heatmap where the "heat" values are continued to the real border of the domain as it is the case for a simple "with lines" plot, shown in this figure.
My attempts so far to achieve what I expected:
I tried several pm3d options, including the option clip1in, which only requires 1 clip of a "heat rectangle" to be inside the domain, but the result was that the corners are no laying outside of the domain, which doesn't solve the problem unfortunately.
Additional information:
OS: Ubuntu 20.04
$ gnuplot -V
gnuplot 5.2 patchlevel 8
If anybody knows how I achieve what I'm trying to do, it would be nice to share that knowledge!
Cheers!
Gnuplot 5.4 does offer this sort of smooth clipping on the z coordinate, but unfortunately that doesn't help because you want clipping on x in this case.
Here is an example of performing x clipping by manual intervention.
The complicated expression for the x coordinate is just to generate points
with a non-orthogonal grid.
xclip(x) = x > 6. ? 6. : x # clip x to maximum value of 6.
f(x,y) = sin(sqrt(x*x + y*y)) # some function to plot
set sample 21; set isosample 21
set view map
set xrange [-6 : 6]
unset key
set multiplot layout 1,2
set title "No clipping"
splot '++' using ($1+$2*$2/10.) :($2):(f($1,$2)) with pm3d
set title "Manual clipping at x=6"
splot '++' using (xclip($1+$2*$2/10.)):($2):(f($1,$2)) with pm3d
unset multiplot

How to apply beatiful fading edge occlusion on Gnuplot's splot function?

Hello fellow stackers,
So I am a gnuplot afficcionado and I keep trying to use gnuplot to draw all sorts of things (including molecules) using it. These days I decided that it would be awesome if I could draw polyhedran in it with this beautiful thining-edge occlusion effect that we see in the interactive javascript polyhedral images here. See how the backside of the polyhedron is drawn differently from the front side and how they change dynamically as you rotate the solid? How can I do that in gnuplot?
I agree that is a really nice representation. Gnuplot cannot currently do the equivalent of "draw the inside edges using thinner lines", but the combination of partial transparency and using the background color as the fill color for the faces creates almost the same effect.
# Generation of polyhedral vertices and faces not shown.
# Each face is an object of type polygon, e.g.
# set object 1 polygon from ... to ... to ...
# make all the faces semi-transparent
set for [i=1:20] object i fillstyle transparent solid 0.6 fillcolor bgnd border lw 2
# use pm3d depthorder sorting to render the objects
# NB: gnuplot version 5.3 required
set for [i=1:20] object i polygon depthorder
set xrange [-2:2]; set yrange [-2:2]; set zrange [-2:2]
set view equal xyz
set view 30,30,1.5
unset border
unset tics
unset key
unset label
splot NaN
Results shown below for a cube and for an icosahedron. You can rotate them interactively as with any other splot.

Using gnuplot, how can I plot sin(x) in the x-z plane and sin(x) in the x-y plane, both at the same time?

Using gnuplot, how can I plot sin(x) in the x-z plane and sin(x) in the x-y plane, both at the same time? I'm guessing I need to use the set parametric command and the splot command, but I can't seem to work out the rest! Does anyone know how to do this? I'm trying to generate a plot which demonstrates the nature of an electromagnetic wave. Thanks.
Yes, parametric mode is a possibility. For example, splot u,0,sin(u), u,sin(u),0 will plot the two (!) parametric curves u,0,sin(u) and u,sin(u),0. The variable u is the parametric dummy variable, for a simple sine function we only need one of them, even in 3d mode.
It might look a bit nicer with the following settings, but this is of course my biased opinion, far from finished, and depends on your needs:
set terminal pngcairo
set output "emfield.png"
set yrange [-2:2]
set zrange [-2:2]
set parametric
umax = 6*pi
set urange [0:umax]
unset border
unset xtics
unset ytics
unset ztics
# Set zeroaxes
set xyplane at 0
set arrow from 0,0,0 to (umax*1.1),0,0 size screen 0.020,15,60 filled
set arrow from 0,1,0 to 0,-1,0 size screen 0.020,15,60 filled
set arrow from 0,0,-1.4 to 0,0,1.4 size screen 0.020,15,60 filled
splot u,0,sin(u) lc 6, u,sin(u),0 lc 7
The result looks like this:

Smoothing out contourplot in Gnuplot?

I am trying to plot a simple contour plot (in gnuplot) for the Himmelblau's function using the following code :
f(x,y)=(((x**2)+(y)-11)**2)+(((x)+(y**2)-7)**2)
set xrange [-5:5]
set yrange [-5:5]
set contour base
set cntrparam level discrete 13.59085,25,50,100,150,300,500,1000
set table 'cont.dat'
splot f(x,y)
unset table
reset
set xrange [-5:5]
set yrange [-5:5]
unset key
p './cont.dat' w l lt -1
I get the following plot result:
There are a few problems with the plot which I wish to eliminate:
It shows some horizontal lines in the plot, I don't know why. How can I remove the horizontal lines?
The contour lines are not too smooth. How can I improve there smoothness?
I feel that both the above problems are connected but can't figure out how. Can you please help me understand and hopefully eliminate the problems?
EDIT 1 : I found the answer to question-2, i.e. improving smoothness. I could do it by increasing the isosample. But I still get a lot of horizontal lines as shown in figure below.
But how to remove these horizontal lines? I just want the contour lines for the levels specified.
Here is how you can plot only the contour lines: You must use unset surface, which plots only the contour lines, and view the plot from above with set view map. See also the 2D contour projection plot from the gnuplot demos.
Smoothing can be achieved with set isosamples, but in some way also using e.g. set cntrparam bspline and similar.
So your script becomes:
f(x,y)=(((x**2)+(y)-11)**2)+(((x)+(y**2)-7)**2)
set xrange [-5:5]
set yrange [-5:5]
set contour base
set cntrparam level discrete 13.59085,25,50,100,150,300,500,1000
set isosamples 250
unset surface
set view map
set key out
splot f(x,y)
With the result (using 4.6.3):
I was able to solve both the problems. The solution to Problem-2 I already shared in the edit-1 of question.
For Problem-1, i.e. removing the IsoLines from the contour plot, I should have left the initial blocks of data int he cont.dat files which contain the data for the isolines. Instead, I should have plotted from the Data Block 250 onwards (first 250 blocks of data were from IsoLines because of set isosample 250,250 command).

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