How to omit values in a threshold when plotting - gnuplot

I am trying to plot data using gnuplot. My data is in a matrix, i.e.:
-2 1 2
0 2 -5
3 0 1
For clarity I would like to assign all values in the threshold -2:2 white color, or assign them as missing. Is there an easy way to do it?

That depends on your actual plotting style and how you encode the color.
When plotting with image you can simply mark all values inside your range as invalid (as 1/0), and then they get plotted as white:
$data <<EOD
-2 1 2
0 2 -5
3 0 1
EOD
plot $data matrix u 1:2:($3 >= -2 && $3 <= 2 ? 1/0 : $3) with image notitle

Related

gnuplot: how to draw a set of triangles from a file?

In gnuplot, we can set object polygon to draw a polygon, including triangles, given its coordinates.
But how to do draw a set of triangles whose coordinates are stored in a file where each line is in the format <x1> <y1> <x2> <y2> <x3> <y3>?
As for rectrangles/circles, this task can be done using plot and with boxxy/with circles options, but there is no with triangles option in gnuplot.
A possible solution is to use with vectors by drawing each edge, but it is a bit complicated and this method does not support color filling.
I cannot think of a way to do this in one step; the data format does not match any of gnuplot's plotting styles.
One approach is to transform the data via a temporary file. Here is an example that works in version 5.2 and newer. If you are using a newer gnuplot then you could substitute with polygons for with filledcurves closed.
$DATA << EOD
1 1 2 2 3 1
11 11 14 14 17 11
21 21 22 22 23 21
15 5 16 6 17 5
6 6 7 7 8 6
EOD
set table "temp.dat"
plot $DATA using (sprintf("%g %g\n %g %g\n %g %g\n \n",$1,$2,$3,$4,$5,$6)) with table
unset table
unset key
set style fill solid noborder
plot "temp.dat" using 1:2 with filledcurves closed fillcolor "forest-green"
Note: I was originally going to show use of a temporary datablock rather than an intermediate temporary file, but it this doesn't work because the formatted output from with table does not translate the newline characters \n into empty datablock lines.
Edit (show variable color)
The extra data field containing a RGB color must be present in every input line of the reformatted data, but only the value from the first vertex of each polygon is used. The sprintf format in this example has been modified to reproduce the color (NB: hexadecimal integer value) from the original data file accordingly, with zeros for the dummy values in the remaining polygon vertices.
$DATA << EOD
1 1 2 2 3 1 0x00ffff
11 11 14 14 17 11 0x191970
21 21 22 22 23 21 0x2e8b57
15 5 16 6 17 5 0xffc020
6 6 7 7 8 6 0x8b000
EOD
set table "temp.dat"
plot $DATA using (sprintf("%g %g 0x%x\n %g %g 0\n %g %g 0\n \n",$1,$2,int($7),$3,$4,$5,$6)) with table
unset table
unset key
set style fill solid noborder
plot "temp.dat" using 1:2:3 with filledcurves closed fillcolor rgb variable
My suggestion would have been the same as #Ethan's. Therefore, here is an alternative approach using set object polygon.
It also requires gnuplot>=5.2 since it uses indexing of datablock lines. Hence, the data should already be in a datablock without empty or commented lines. But how to get a file into a datablock?
Either something like:
set table $Data
plot FILE u 1:2:3:4:5:6:7 w table
unset table
or alternatively see here: gnuplot: load datafile 1:1 into datablock
Script:
### draw some colored triangles from a datablock
reset session
$Data <<EOD
0 0 2 1 1 2 0xff0000
5 1 3 2 4 4 0x00ff00
3 3 2 5 1 4 0x0000ff
EOD
vx(n,t) = word($Data[n],t*2-1) # vertex x-coordinate
vy(n,t) = word($Data[n],t*2) # vertex y-coordinate
color(n) = word($Data[n],7) # triangle color
set linetype 1 lc rgb "black"
do for [n=1:|$Data|] {
set obj n polygon from vx(n,1),vy(n,1) to vx(n,2),vy(n,2) to vx(n,3),vy(n,3) to vx(n,1),vy(n,1)
set obj n fc rgb color(n) fs solid 0.5 border lt 1 lw 3
}
set size square
set xrange[0:5]
set yrange[0:5]
plot NaN notitle # or plot something else
### end of script
Result:
Addition:
Alternatively, similar to Ethan's solution, plotting triangles instead of drawing triangles, but without using a temporary file on disk (but a datablock). The result is identical to the graph above. I haven't tested whether drawing or plotting is faster and/or more efficient if you want to draw/plot thousands of triangles.
Script:
### plot some colored triangles from a datablock
reset session
$Data <<EOD
0 0 2 1 1 2 0xff0000
5 1 3 2 4 4 0x00ff00
3 3 2 5 1 4 0x0000ff
EOD
vx(n,t) = word($Data[n],t*2-1) # vertex x-coordinate
vy(n,t) = word($Data[n],t*2) # vertex y-coordinate
color(n) = word($Data[n],7) # triangle color
set print $Triangles
do for [n=1:|$Data|] {
print sprintf("%s %s %s\n%s %s 0\n%s %s 0\n%s %s 0\n\n", \
vx(n,1),vy(n,1),color(n), vx(n,2),vy(n,2), vx(n,3),vy(n,3), vx(n,1),vy(n,1))
}
set print
set size square
set xrange[0:5]
set yrange[0:5]
set linetype 1 lc rgb "black" lw 3
set style fill solid 0.5
plot $Triangles u 1:2:3 w filledcurves lc rgb var notitle
### end of script

gnuplot : data table type value = 'u' and strange bars in histogram boxes

I previously asked this question. This is a related question.
Using the test.txt file :
-0.1 0 0 JANE
1 1 1 BILL
2 2 1 BILL
1 3 1 BILL
6 4 0 JANE
35 5 0 JANE
9 6 1 BILL
4 7 1 BILL
24 8 1 BILL
28 9 1 BILL
9 10 0 JANE
16 11 1 BILL
4 12 0 JANE
45 13 1 BILL
and the Gnuplot script :
file='test.txt'
binwidth=10
bin(x,width)=width*floor(x/width)
set table "data_table"
plot file using (bin($1,binwidth)):(1.0) smooth freq,\
file using (1+(bin($2,binwidth))):(1.0) smooth freq
unset table
set boxwidth 1
set logscale y
set yrange[0.01:15]
plot "data_table" index 0 using ($1):($2 == 0 ? 1/0 : $2) with boxes,\
"data_table" index 1 using ($1):($2 == 0 ? 1/0 : $2) with boxes
I get the data_table :
# Curve 0 of 2, 7 points
# Curve title: "file using (bin($1,binwidth)):(1.0)"
# x y type
-10 1 i
0 8 i
10 1 i
20 2 i
30 1 i
40 1 i
0 1 u
# Curve 1 of 2, 3 points
# Curve title: "file using (1+(bin($2,binwidth))):(1.0)"
# x y type
1 10 i
11 4 i
1 1 u
Per "help set table" in the Gnuplot shell :
". . . character R takes on one of three values:
"i" if the point is in the active range, "o" if it is out-of-range, or "u"
if it is undefined."
Question 1 : Why is the last line of each index group in data_table have a value of u and why does it's x value seem to be out of order?
Question 2 : The plot that is generated looks very similar to Miguel's second plot. If you look at the bins at (x=0, y=1), you'll notice a bar in the middle of the histogram box. What is it and how do I get rid of it?
The superfluous points, marked as undefined by the u, are due to a bug, see bug #1274.
Gnuplot itself doesn't automatically respect the values in the third column. So, although the last points in each block are marked as being undefined, gnuplot plots them which causes the additional bars at y=1.
To get rid of them you must explicitely skip those points which have an u in their third column by checking for strcol(3) eq "u":
file='test.txt'
binwidth=10
bin(x,width)=width*floor(x/width)
set table "data_table"
plot file using (bin($1,binwidth)):(1.0) smooth freq,\
file using (1+(bin($2,binwidth))):(1.0) smooth freq
unset table
set boxwidth 1
set logscale y
set yrange[0.01:15]
unset key
plot "data_table" index 0 using ($1):($2 == 0 || strcol(3) eq "u" ? 1/0 : $2) with boxes,\
"data_table" index 1 using ($1):($2 == 0 || strcol(3) eq "u" ? 1/0 : $2) with boxes

gnuplot : using a logarithmic axis for a histogram

I have a data file that I am creating a histogram from.
The data file is :
-0.1 0 0 JANE
1 1 1 BILL
2 2 1 BILL
1 3 1 BILL
6 4 0 JANE
35 5 0 JANE
9 6 1 BILL
4 7 1 BILL
24 8 1 BILL
28 9 1 BILL
9 10 0 JANE
16 11 1 BILL
4 12 0 JANE
45 13 1 BILL
My gnuplot script is :
file='test.txt'
binwidth=10
bin(x,width)=width*floor(x/width)
set boxwidth 1
plot file using (bin($1,binwidth)):(1.0) smooth freq with boxes, \
file using (1+(bin($2,binwidth))):(1.0) smooth freq with boxes
I would like to plot this data on a logscale in y. However there are some 0 values (because some of the bins are empty) that cannot be handled by set logscale y. I get the error Warning: empty y range [1:1], adjusting to [0.99:1.01].
According to gnuplot's help, "The frequency option makes the data monotonic in x; points with the same x-value are replaced by a single point having the summed y-values."
How can I take the log10() of the summed y-values computed by smooth freq with boxes?
There are at least two things that you could do. One is to use a linear axis between 0 and 1 and then use the logarithmic one as explained in this answer. The other one is to plot to a table first and then set the log scale ignoring the points with zero value.
With a normal linear axis and your code (plus set yrange [0:11]) your data looks:
Now lets plot to a table, then set the log scale, then plot ignoring the zero values:
file='test.txt'
binwidth=10
bin(x,width)=width*floor(x/width)
set table "data"
plot file using (bin($1,binwidth)):(1.0) smooth freq, \
file using (1+(bin($2,binwidth))):(1.0) smooth freq
unset table
set boxwidth 1
set logscale y
set yrange [0.1:11]
plot "data" index 0 using ($1):($2 == 0 ? 1/0 : $2) with boxes lc 1, \
"data" index 1 using ($1):($2 == 0 ? 1/0 : $2) with boxes lc 2
set table sometimes generates some undesirable points in the plot, which you can see at x = 0. To get rid of them you can use "< grep -v u data" instead of "data".

producing variable colors with decimal numbers

I created a file which looks like where the first column is the color line in decimal and the second column is y-axis. The x-axis is the row number.
0 0
1 1
2 2
...
Then I run this command
plot "test.dat" u 0:2:1 pt 7 ps 1 lc rgb variable
As you can see in the picture, the output contains a range of black to blue colors only.
Why?
How can I produce other colors?
Basically you have the choice between three options, linecolor rgb variable, linecolor variable and linecolor palette. Which one you use and how depends on your actual requirements.
When you use linecolor rgb variable, the value given in the last column is used as integer representation of an rgb-tuple, i.e. the lowest byte is the blue part, the second lowest the green part and the third byte is the red component. This is what you have.
For using this option you must either have the full rgb-integer values in your data file, like
0 13.5 # black
0 17
65280 12 # green (255 * 2**8)
0 19.3
16711680 14.7 # red (255 * 2**16)
65280 10
16711680 22
and then use
plot 'test.txt' using 0:2:1 linecolor rgb variable pt 7
Alternatively you save the red, green and blue components in one column each and use a gnuplot function to calculate the rgb-integer:
0 0 0 13.5 # black
0 0 0 17
0 255 0 12 # green
0 0 0 19.3
255 0 0 14.7 # red (255 * 2**16)
0 255 0 10
255 0 0 22
and then use
rgb(r,g,b) = 65536 * int(r) + 256 * int(g) + int(b)
plot 'test.txt' using 0:4:(rgb($1,$2,$3)) linecolor rgb variable pt 7
Using linecolor variable would use the last column as linetype index. Large indices are wrapped to the set of defined linetype:
set xrange [0:1000]
plot '+' using 1:1:0 linecolor variable pt 7
Using linecolor palette uses the last column as index for the color palette:
set xrange [0:1000]
plot '+' using 1:1:0 linecolor palette pt 7
Which variant you use may depend both on the number of different colors and the distribution of the colors.

Gnuplot: plotting points with variable point types

I have x,y values for points in the first 2 colums and a number that indicates the point type (symbol) in the 3. column, in one data file. How do I plot data points with different symbols?
Unfortunately, there isn't a way (AFAIK) to automatically set the point of the plot from a column value using vanilla GNUPLOT.
However, there is a way to get around that by setting a linestyle for each data series, and then plotting the values based on that defined style:
set style line 1 lc rgb 'red' pt 7 #Circle
set style line 2 lc rgb 'blue' pt 5 #Square
Remember that the number after pt is the point-type.
Then, all you have to do is plot (assuming that the data in "data.txt" is ordered ColX ColY Col3):
plot "data.txt" using 1:2 title 'Y Axis' with points ls 1, \
"data.txt" using 1:3 title 'Y Axis' with points ls 2
Try it here using this data (in the section titled "Data" - also note that column 3 "Symbol" is noted used, it's mainly there for illustrative purposes):
# This file is called force.dat
# Force-Deflection data for a beam and a bar
# Deflection Col-Force Symbol
0.000 0 5
0.001 104 5
0.002 202 7
0.003 298 7
And in the Plot Script Heading:
set key inside bottom right
set xlabel 'Deflection (m)'
set ylabel 'Force (kN)'
set title 'Some Data'
set style line 1 lc rgb 'red' pt 7
set style line 2 lc rgb 'blue' pt 5
plot "data.txt" using 1:2 title 'Col-Force' with points ls 1, \
"data.txt" using 1:3 title 'Beam-Force' with points ls 2
The one caveat is of course that you have have to reconfigure your data input source.
REFERENCES:
http://www.gnuplotting.org/plotting-single-points/
http://www.gnuplotting.org/plotting-data/
Here is a possible solution (which is a simple extrapolation from gnuplot conditional plotting with if), that works as long as you don't have tens of different symbols to handle.
Suppose I want to plot 2D points in a coordinate system. I have only two symbols, that I arbitrarily represented with a 0 and a 1 in the last column of my data file :
0 -0.29450470209121704 1.2279523611068726 1
1 -0.4006965458393097 1.0025811195373535 0
2 -0.7109975814819336 0.9022682905197144 1
3 -0.8540692329406738 1.0190201997756958 1
4 -0.5559651851654053 0.7677079439163208 0
5 -1.1831613779067993 1.5692367553710938 0
6 -0.24254602193832397 0.8055955171585083 0
7 -0.3412654995918274 0.6301406025886536 0
8 -0.25005266070365906 0.7788659334182739 1
9 -0.16853423416614532 0.09659398347139359 1
10 0.169997438788414 0.3473801910877228 0
11 -0.5252010226249695 -0.1398928463459015 0
12 -0.17566296458244324 0.09505800902843475 1
To achieve what I want, I just plot my file using conditionals. Using an undefined value like 1/0 results in no plotting of the given point:
# Set styles
REG_PTS = 'pointtype 7 pointsize 1.5 linecolor rgb "purple"'
NET_PTS = 'pointtype 4 pointsize 1.5 linecolor rgb "blue"'
set grid
# Plot each category with its own style
plot "data_file" u 2:($4 == 0 ? $3 : 1/0) title "regular" #REG_PTS, \
"data_file" u 2:($4 == 1 ? $3 : 1/0) title "network" #NET_PTS
Here is the result :
Hope this helps
Variable pointype (pt variable) was introduced (I guess) not until gnuplot 5.2.0 (Sept 2017) (check help points).
Just in retrospective, another (awkward) solution would be the following for those who are still using such early versions.
Data:
1 1.0 4 # empty square
2 2.0 5 # filled square
3 3.0 6 # empty circle
4 4.0 7 # filled circle
5 5.0 8 # empty triangle up
6 6.0 9 # filled triangle down
7 7.0 15 # filled pentagon (cross in gnuplot 4.6 to 5.0)
Script: (works from gnuplot>=4.6.0, March 2012; but not necessary since 5.2.0)
### variable pointtype for gnuplot>=4.6
reset
FILE = 'SO23707979.dat'
set key noautotitle
set offsets 1,1,1,1
set pointsize 4
stats FILE u 0 nooutput
N = STATS_records # get the number of rows
p0=x1=y1=NaN
plot for [n=0:N-1 ] FILE u (x0=x1, x1=$1, x0):(y0=y1, y1=$2, y0):(p0=$3) \
every ::n::n w p pt p0 lc rgb "red", \
FILE u 1:2 every ::N-1::N-1 w p pt p0 lc rgb "red"
### end of script
Result:

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