I try to plot contour with only one cntrlabel per line but I do not succeed. I tried
set cntrlabel onecolor start 50 interval 10000000
and
set cntrlabel onecolor start 50 interval -1
but it does not work. Is there a mean to force 1 label per line ?
Moreover, I would like to shift the cntrlabel in order to prevent them to be overlayed (as observed on the top-left of the graph with the label 45, 50, 55, and 60). How should I do ?
The code used to obtain this graph is the following:
FILE = "data_sensibilite_correlation_phiFR_Tpfr_fusion_ordre"
set contour base
set cntrparam level discrete 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 25, 30, 35, 40, 45, 50, 55, 60
#set cntrparam level incremental 2, 4, 60
set cntrlabel onecolor start 50 interval 10000000
set xrange [-10:10]
set yrange [0.55:0.95]
#set cbrange [0:20]
set style textbox opaque
unset key
set view map
set xlabel "{/Symbol e}_{/Symbol q} [%]"
set ylabel "T_b / T_{c} uncertainties on T_c"
set cblabel "{/Symbol e}_{{/Symbol F} cs} [%]"
set pm3d noborder
splot FILE u 1:2:3 w pm3d, \
FILE u 1:2:3 w l lc "black" nosurface, \
FILE with labels boxed
The data is available here: https://filesender.renater.fr/?s=download&token=c718b69b-1496-47db-9da4-21d48cf08aa4
Some time ago, I experienced the same issue.
Since your data is not accessible anymore, I am creating some test data in the script itself.
The problem is that you see too many labels although you are trying to limit them via
set cntrlabel {start <int>} {interval <int>}.
Let me try to explain: If you plot the contour line into a datablock you will notice that although some contour lines in the graph look like continuous lines, however, in fact, they are interrupted by empty lines in the data.
I guess this comes from the algorithm how gnuplot determines the contour lines. It seems, the more data points you have, the higher the probability that some contour lines are interrupted.
In the first graph below I made the interruptions visible by setting variable line color depending on pseudocolumn -1 (check help pseudocolumns). For the time being ignore the yellow line.
For example, the contour line for the level 8 consists of 5 pieces (i.e. 5 different colors).
This means when plotting the contour labels even if you set every 200 (or interval 10000000) you will get at least as many labels per contour line as many "broken" parts you have for that line.
Test Graph:
So, you could try to merge these interrupted lines which might be feasible, however, is not so easy because:
you have contour lines which should not be merged, e.g. level 15 on the left side and on the right side of the graph
you cannot easily connect the interrupted lines by simply removing the empty lines because the data points of the line parts are not in the right order
A different approach:
Hence, here is another "simple" idea, but not so simple to realize:
Define a parametric curve (yellow line in the above graph) which will intersect all the contour lines which you want to have labeled.
The script will determine the intersection points and will place a label at these positions.
The determination of the intersections is somewhat lengthy and the code is taken from here.
This procedure is certainly slow and not very efficient because it checks each yellow segment against all other segments.
Currently, the sampling of the yellow line needs to be high enough (here: N=21) such that each yellow segment will intersect with one contour line segment. The calculation time for the intersections can probably be shortened considerably if one yellow segment can intersect several contour line segments. Alternatively, the intersection lines could be filtered by level and then intersected. I will try these options asap.
If anyone has a more ideas to improve, please let me know.
Script:
### add contour labels nicely aligned
reset session
# create some test data
f(x,y) = ((4*x)**2 + (-y-5)**2)/10.
set samples 200
set isosamples 200
set table $Data
splot '++' u (x):(y):(f(x,y))
set table $Contours
unset surface
set contour
set cntrparam levels discrete 2,4,6,8,10,15,20,25,30,40
splot $Data u 1:2:3
unset table
set colorsequence classic
set style textbox opaque
set key noautotitle
set view map
# define parametric function for "line of labels"
xmin = -5.5
xmax = 5.5
N = 21
g(x) = 0.25*x**2 - 2
gx(t) = xmin + t*(xmax-xmin)/N
gy(t) = g(gx(t))
set table $LabelLine
plot '+' u (gx($0)):(gy($0)) every ::::N w table
unset table
set xrange [:] noextend
set yrange [:] noextend
# this plotting part can be skipped, it's just for illustration purpose
plot $Contours u 1:2:-1 w l lc var, \
'' u 1:2:3 every 200 w labels boxed, \
$LabelLine u 1:2 w lp pt 7 lc "yellow" noautoscale
pause -1
# some necessary functions
# orientation of 3 points a,b,c: -1=clockwise, 0=linear, +1=counterclockwise
Orientation(a,b,c) = sgn((word(b,1)-word(a,1))*(word(c,2)-word(a,2)) - \
(word(c,1)-word(a,1))*(word(b,2)-word(a,2)))
# check for intersection of segment a-b with segment c-d,
# 0=no intersection, 1=intersection
IntersectionCheck(a,b,c,d) = \
(Orientation(a,c,b)==Orientation(a,d,b)) || (Orientation(c,a,d)==Orientation(c,b,d)) ? 0 : 1
# calculate coordinates of intersection point, "" if identical points
M(a,b) = real(word(a,1)*word(b,2) - word(a,2)*word(b,1))
N(a,b,c,d) = (word(a,1)-word(b,1))*(word(c,2)-word(d,2)) - \
(word(a,2)-word(b,2))*(word(c,1)-word(d,1))
Intersection(a,b,c,d) = N(a,b,c,d) !=0 ? sprintf("%g %g", \
(M(a,b)*(word(c,1)-word(d,1)) - (word(a,1)-word(b,1))*M(c,d))/N(a,b,c,d), \
(M(a,b)*(word(c,2)-word(d,2)) - (word(a,2)-word(b,2))*M(c,d))/N(a,b,c,d)) : ""
# looping data segments for finding intersections
set print $Intersections
do for [i=1:|$LabelLine|-1] {
a = sprintf("%s %s", word($LabelLine[i], 1),word($LabelLine[i], 2))
b = sprintf("%s %s", word($LabelLine[i+1],1),word($LabelLine[i+1],2))
Line = ''
Intersection0 = ''
do for [j=1:|$Contours|-1] {
c = $Contours[j]
d = $Contours[j+1]
if (strlen(c)!=0 && strlen(d)!=0 && c[1:1] ne '#' && c[1:1] ne '#') {
if (IntersectionCheck(a,b,c,d)) {
Intersection1 = Intersection(a,b,c,d)
if ((Intersection0 ne Intersection1)) {
Level = word($Contours[j],3)
print sprintf("%s %s %s",Intersection0, Intersection1, Level)
}
Intersection0 = Intersection1
}
}
else {Intersection0 = ''}
}
}
set print
set palette rgb 33,13,10
plot $Data u 1:2:3 w image, \
$Contours u 1:2 w l lc "black", \
$Intersections u 1:2:3 w labels boxed
### end of script
Result:
Here is a much simpler solution resulting in only one label per level, however, depending on your data you won't know where exactly the labels will be positioned.
The contour lines per level are separated by two empty lines. The different pieces within a contour line of one specific level might be separated into (sub-)blocks separated by a single empty line.
Now, you can address specific rows and sub-blocks via every (check help every). For example, if you only want to plot each second row of each first sub-block you can specify every ::1:0:1:0 (indices are zero-based). You need to play with these numbers, depending on your data and how many contour line breaks you have. However, most likely the labels will not be nicely aligned as in my other (much more complicated) answer. Furthermore, the labeling will be only once per level, i.e. no labels on the left side of the plot in the example below.
Script:
### add contour labels, only one per level
reset session
# create some test data
f(x,y) = ((4*x)**2 + (-y-5)**2)/10.
set samples 200
set isosamples 200
set table $Data
splot '++' u (x):(y):(f(x,y))
set table $Contours
unset surface
set contour
set cntrparam levels discrete 2,4,6,8,10,15,20,25,30,40
splot $Data u 1:2:3
unset table
set colorsequence classic
set style textbox opaque
set key noautotitle
set view map
set xrange [:] noextend
set yrange [:] noextend
set tics out
set palette rgb 33,13,10
plot $Data u 1:2:3 w image, \
$Contours u 1:2 w l lc "black", \
$Contours u 1:2:3 every ::1:1:1:1 w labels boxed
### end of script
Result:
I have a script which takes data (formatted in 3 columns x,y,z) and gives a heat map:
set logscale x 10
set yrange [1e-9:2e-8]
set xlabel "x"
set ylabel "y"
set multiplot
plot 'filetest.dat' u 1:2:9 with image
This is a 2D heat map, shown below:
All I want to do is add contours to this plot, at some z values such as -20 to -8 in in intervals of 2. Unfortunately, none of the answers I've found have been able to help me with this. Any help would be greatly appreciated.
Although there are a lot of examples about contour on www.gnuplot.info, I couldn't find your exact case, because the examples are with functions, not with datablocks or data files (well, it should be similar).
The following code does what you're asking for, but the construct '' u 1:2:3:("") w labels for adding labels still looks strange to me and doesn't allow for plotting boxed labels.
In gnuplot console check help contour and help cntrparam.
Code:
### pm3d with contour lines
reset session
set view equal xyz
# create some test data
set samples 40
set isosamples 40
set table $Data
splot '++' u 1:2:($1*$2/2-9)
unset table
set view map
set contour base
set cntrparam levels incremental -20,2,-8
set cntrlabel font ",10"
set xrange[-5:5]
set yrange[-5:5]
splot $Data u 1:2:3 w pm3d notitle, '' u 1:2:3:("") w labels notitle
### end of code
Result:
Addition:
Here is another approach with plot w image instead of splot w pm3d.
Although still not fully satisfying with the white label boxes on top of the contour lines. Adding an offset to the labels will not work for all labels at the same time. I'm not sure whether there is a way to just interrupt the contour lines for the labels.
Code:
### heatmap with contour lines
reset session
set view equal xyz
# create some test data
set samples 40
set isosamples 40
set table $Data
splot '++' u 1:2:($1*$2/2-9)
unset table
set view map
set contour base
set cntrparam levels incremental -20,2,-8
set cntrlabel font ",10"
set xrange[-5:5]
set yrange[-5:5]
set style textbox noborder opaque
# put contour lines in a separate datablock
unset surface
set table $Contour
splot $Data u 1:2:3
unset table
plot $Data u 1:2:3 w image notitle, \
$Contour u 1:2 w l lw 2 lc "black" not, \
'' u 1:2:3 every 40::3 w labels boxed notitle
### end of code
Result:
Addition 2:
Another variation with colored contour lines and key instead of labels. This seems to be a bit cumbersome, I hope there is a simpler solution for this.
Code:
### heatmap with colored contour lines
reset session
set view equal xyz
# create some test data
set samples 40
set isosamples 40
set table $Data
splot '++' u 1:2:($1*$2/2-9)
unset table
set view map
set contour base
set cntrparam levels incremental -20,2,-8
set xrange[-5:5]
set yrange[-5:5]
set style textbox noborder
# put contour lines in a separate datablock
unset surface
set table $Contour
splot $Data u 1:2:3
unset table
# get contour levels unique and in sorted order
set table $Dummy
plot $Contour u 3 w table
unset table
set table $ContourSorted
plot $Dummy u 1 smooth freq
unset table
print $ContourSorted
set key out right Left
plot $Data u 1:2:3 w image notitle, \
for [i=0:*] $Contour u 1:2:3 index i w l lw 2 lc i+1 not, \
for [i=|$ContourSorted|-2:5:-1] $ContourSorted u (NaN):1 w l lw 2 lc |$ContourSorted|-i-1 ti word($ContourSorted[i],1)
### end of code
Result:
I want to plot the contour of the following function:
f(x,y)=y³*b(x)
My data-file looks something like this:
x b(x)
-1 10.123
-0.995 10.112
-0.99 10.100
I am not sure how to make the right splot command as my datafile does not look like (x y z).
Thats my script so far:
reset
f(x,y)=y³*b(x)
set xrange [-6:6]
set yrange [-5:5]
set isosamples 50
set table 'test.dat'
splot 'Data.dat' u 1:(b(x)=$2, f(x,y)) -------------------------?
unset table
set contour base
set cntrparam bspline
set cntrparam levels incremental -0.1,0.02,0.1
unset surface
set table 'contour.dat'
splot 'Data.dat' u 1:(b(x)=$2, f(x,y)) -------------------------?
unset table
reset
set xrange [-6:6]
set yrange [-5:5]
unset key
set palette rgbformulae 33,13,10
plot 'test.dat' with image, 'contour.dat' w l lt -1 lw 1.5
Creating a 3D surface directly from the data in your file will not work because their is no y coordinate data. The program knows how to plot data and it know how to plot functions but you have to choose one or the other.
To treat the plot as a data plot you will need to expand the file to contain x/y/z data (see 'help matrix'). This is probably easier to do outside of gnuplot.
Alternatively you can recast your function b(x) in some analytic form, possibly by using gnuplot's "fit" command and your existing data file. Suppose for example that a quadratic fit to your data is sufficient:
b(x) = C0 + C1*x + C2*x*x + C3*x*x*x
C0=C1=1; C2=C3=0;
fit b(x) 'test.dat' using 1:2 via C0,C1,C2,C3
Now you have analytic forms for both the x and y dependence of the surface to be contoured
f(x,y) = b(x) * y*y*y
set contour base
set cntrparam bspline
set cntrparam levels incremental -0.1,0.02,0.1
unset surface
splot f(x,y)
I have an unsorted data set of two columns with most of the points aligning diagonally along y=x, however some points misalign.
I would like to show that most of the points actually do align along the function, however just pointplotting would just overlap the over-represented points to one. The viewer would then get the impression that the data points are actually scattered randomly because there is no weight to the occurrence count.
Is there a way to implement a weight to the points that occur more than once - maybe through point size? Couldnt find anything on this topic.
Thanks a lot!
You don't show data so I assumed something from your description. As #Christoph already mentioned you could use jitter or transparency to indicate that there are many more datapoints more or less at the same location. However, transparency is limited to 256 values (actually, 255 because fully transparent you won't see). So, in extreme case, if you have more than 255 points on top of each other you won't see a difference to 255 points on top of each other.
Basically, you're asking for displaying the density of points. This reminds me to this question: How to plot (x,y,z) points showing their density
In the example below a "pseudo" 2D-histogram is created. I'm not aware of 2D-histograms in gnuplot, so you have to do it as 1D-histogram mapping it onto 2D. You divide the plot into fields and count the occurrence of point in each field. This number you use either for setting the point variable color via palette or for variable pointsize.
The code example will generate 5 ways to plot the data:
solid points
empty points
transparent points
colored points
sized points (your question)
I leave it up to you to judge which way is suitable. Certainly it will depend pretty much on the data and your special case.
Code:
### different ways to show density of datapoints
reset session
# create some random test data
set print $Data
do for [i=1:1000] {
x=invnorm(rand(0))
y=x+invnorm(rand(0))*0.05
print sprintf("%g %g",x,y)
}
do for [i=1:1000] {
x=rand(0)*8-4
y=rand(0)*8-4
print sprintf("%g %g",x,y)
}
set print
Xmin=-4.0; Xmax=4.0
Ymin=-4.0; Ymax=4.0
BinXSize = 0.1
BinYSize = 0.1
BinXCount = int((Xmax-Xmin)/BinXSize)+1
BinYCount = int((Ymax-Ymin)/BinYSize)+1
BinXNo(x) = floor((x-Xmin)/BinXSize)
BinYNo(y) = floor((y-Ymin)/BinYSize)
myBinNo(x,y) = (_tmp =BinYNo(y)*BinXCount + BinXNo(x), \
_tmp < 0 || _tmp > BinXCount*BinYCount-1 ? NaN : int(_tmp+1))
# get data into 1D histogram
set table $Bins
plot [*:*][*:*] $Data u (myBinNo($1,$2)):(1) smooth freq
unset table
# initialize array all values to 0
array BinArr[BinXCount*BinYCount]
do for [i=1:BinXCount*BinYCount] { BinArr[i] = 0 }
# get histogram values into array
set table $Dummy
plot myMax=NaN $Bins u ($2<myMax?0:myMax=$2, BinArr[int($1)] = int($2)) w table
unset table
myBinValue(x,y) = (_tmp2 = myBinNo(x,y), _tmp2>0 && _tmp2<=BinXCount*BinYCount ? BinArr[_tmp2] : NaN)
# point size settings
myPtSizeMin = 0.0
myPtSizeMax = 2.0
myPtSize(x,y) = myBinValue(x,y)*(myPtSizeMax-myPtSizeMin)/myMax*myPtSizeMax + myPtSizeMin
set size ratio -1
set xrange [Xmin:Xmax]
set yrange [Ymin:Ymax]
set key top center out opaque box
set multiplot layout 2,3
plot $Data u 1:2 w p pt 7 lc "red" ti "solid points"
plot $Data u 1:2 w p pt 6 lc "red" ti "empty points"
plot $Data u 1:2 w p pt 7 lc "0xeeff0000" ti "transparent points"
set multiplot next
plot $Data u 1:2:(myBinValue($1,$2)) w p pt 7 ps 0.5 palette z ti "colored points"
plot $Data u 1:2:(myPtSize($1,$2)) w p pt 7 ps var lc "web-blue" ti "sized points"
unset multiplot
### end of code
Result:
I am new to gnuplot. I am trying to plot 3d vector fields. I know that I have to create a data file that has six columns representing x, y, z, deltax,deltay, deltaz.
I wondering if it is possible to define a function f(x,y,z) and have gnuplot create the data file I desire in order to plot the vectors.
If so, how do I go about doing this?
You can use the special file name ++ to create a 2d grid on which you can define you vector field:
set xrange [-10:10]
set yrange [-10:10]
set samples 100
set isosamples 100
vx(x,y,z) = ...
vy(x,y,z) = ...
vz(x,y,z) = ...
z(x,y) = ...
splot '++' using 1:2:(z($1,$2)):(vx($1,$2,z($1,$2))):(vy($1,$2,z($1,$2))):(vz($1,$2,z($1,$2))) with vectors
This plots a vector field (vx,vy,vz) on the surface z(x,y). Gnuplot cannot generate a 3d grid.
You could try to simulate such a real 3d vector field with a loop:
z(i) = -10 + i*(20.0/99.0)
splot for [i=1:100] '++' using 1:2:(z(i)):(vx($1,$2,z(i))):(vy($1,$2,z(i))):(vz($1,$2,z(i))) with vectors lt 1
As example considert the following script for a central force:
lim = 2
N = 6
set xrange [-lim:lim]
set yrange [-lim:lim]
set zrange [-lim:lim]
set samples N
set isosamples N
sc= 0.3
r(x,y,z) = sqrt(x**2 + y**2 + z**2)
gx(x,y,z) = sc/(x**2 + y**2 + z**2) * x/r(x,y,z)
gy(x,y,z) = sc/(x**2 + y**2 + z**2) * y/r(x,y,z)
gz(x,y,z) = sc/(x**2 + y**2 + z**2) * z/r(x,y,z)
z(i) = -lim + 2*i*lim/(N - 1.0)
unset key
set xyplane 0
splot for [i=1:N] '++' using 1:2:(z(i)):(gx($1,$2,z(i))):(gy($1,$2,z(i))):(gz($1,$2,z(i))) with vectors lt 1
with the output
Here an answer that would apply to a 3d surface plot. I'm sure this can be expanded to work for a vector field as well - a matter of writing the function which is outside my comfort zone.
You would plot your function to a table rather than a graphic output and then plot the graph using the table you just have produced (and could inspect, edit etc. before). Sample:
# output to a file with the data
set table "so.dat"
# plot your function
splot [-2:2][-2:2] exp(-(x**2 + y**2))*cos(x/4)*sin(y)*cos(2*(x**2+y**2))
# switch the graphic screen on again and plot from your file
unset table
unset ztics # avoiding cluttered ztics
splot "so.dat" u 1:2:3 w l
yields
Sample taken from Philipp K. Janert, Gnuplot In Action