Difference between revisions of "Gnuplot/C2/Plotting-functions/English"

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Line 84: Line 84:
 
|-
 
|-
 
|| Hover mouse on graph, axes.
 
|| Hover mouse on graph, axes.
|| The limit of the '''Y''' axis is from minus 1 to plus 1.
+
|| The limit of '''Y''' axis is from minus 1 to plus 1.
And the '''X''' axis is from -10 to 10.
+
And '''X''' axis is from -10 to 10.
  
 
|-
 
|-
 
|| Type '''set grid''' and press '''Enter'''.
 
|| Type '''set grid''' and press '''Enter'''.
|| Come back to the '''terminal''' and type the command''' set space grid'''.
+
|| Come back to the '''terminal''' and type the command '''set space grid'''.
  
 
|-
 
|-
Line 109: Line 109:
 
|-
 
|-
 
|| Type '''reset''' and  press '''Enter'''.
 
|| Type '''reset''' and  press '''Enter'''.
|| To '''reset''', type the '''command reset''' in the '''terminal''', followed by '''replot'''.
+
|| To '''reset'', type the '''command reset''' in the '''terminal''', followed by '''replot'''.
  
 
|-
 
|-
 
|| Type '''replot''' and press '''Enter'''.
 
|| Type '''replot''' and press '''Enter'''.
|| Changes in the graph become visible only after executing the '''replot '''command.
+
|| Changes in the graph become visible only after executing the '''replot''' command.
  
 
|-
 
|-
Line 122: Line 122:
 
|-
 
|-
 
|| Point mouse on the '''legend'''.
 
|| Point mouse on the '''legend'''.
|| Let's increase '''y axis range''', so that the graph line does not intersect the '''legend'''.
+
|| Let's increase '''y axis range''', so that the graph line does not run through the '''legend'''.
  
 
|-
 
|-
Line 132: Line 132:
 
|| Type '''set xrange [-20:20]''' and  
 
|| Type '''set xrange [-20:20]''' and  
 
Press '''Enter'''.
 
Press '''Enter'''.
|| I will also change '''x '''axis range.
+
|| I will also change '''x''' axis range.
Enter command, '''set space xrange space -20 colon 20 '''within square brackets.
+
Enter command, '''set space xrange space -20 colon 20''' within square brackets.
  
 
|-
 
|-
 
|| Type '''replot''' and  
 
|| Type '''replot''' and  
 
Press '''Enter'''
 
Press '''Enter'''
|| Type '''replot '''to see the updated graph.
+
|| Type '''replot''' to see the updated graph.
  
 
|-
 
|-
Line 175: Line 175:
 
|| Let's set '''x axis label''' as '''x angle'''.  
 
|| Let's set '''x axis label''' as '''x angle'''.  
 
Type the '''command''' as shown here.
 
Type the '''command''' as shown here.
Here we are specifying the '''label''', '''font''' '''style''' and size in a single command.
+
Here we are specifying the '''label''', '''font style''' and size in a single command.
  
 
|-
 
|-
Line 186: Line 186:
  
 
|-
 
|-
|| Type '''replot''' and  
+
|| Type '''replot''' and press '''Enter'''
Press '''Enter'''
+
 
|| Type '''replot''' and press '''Enter'''.  
 
|| Type '''replot''' and press '''Enter'''.  
  
 
|-
 
|-
|| Only narration
+
|| Only narration.
 
|| Now, let’s see how to change the font in the '''legend'''.
 
|| Now, let’s see how to change the font in the '''legend'''.
  
Line 206: Line 205:
  
 
|-
 
|-
|| Type''' help fonts''' and  
+
|| Type''' help fonts''' and press '''Enter'''
Press '''Enter'''
+
 
|| To access '''help''' documentation on fonts, type '''help space fonts'''.
 
|| To access '''help''' documentation on fonts, type '''help space fonts'''.
  
Line 214: Line 212:
 
|| Help command returns with 3 subtopics '''cairo''', '''gd''' and '''postscript'''.
 
|| Help command returns with 3 subtopics '''cairo''', '''gd''' and '''postscript'''.
 
|-
 
|-
|| Type '''cairo''' and  
+
|| Type '''cairo''' and press '''Enter'''
Press '''Enter'''
+
 
|| I will type '''cairo''' to see the details and available options.
 
|| I will type '''cairo''' to see the details and available options.
  
 
|-
 
|-
|| Only narration
+
|| Only narration.
 
|| Similarly you may choose to use '''help''' for any '''command''' when using '''gnuplot'''.
 
|| Similarly you may choose to use '''help''' for any '''command''' when using '''gnuplot'''.
  
Line 227: Line 224:
  
 
|-
 
|-
|| Press '''Ctrl C'''
+
|| Press '''Ctrl C'''.
 
|| Once done, press '''Control '''and '''C''' keys to exit the '''help section'''.
 
|| Once done, press '''Control '''and '''C''' keys to exit the '''help section'''.
  
 
|-
 
|-
|| '''Ctrl+L in Ubuntu''' and  
+
|| '''Ctrl+L in Ubuntu''' and '''Ctrl+Shift+K in Debian'''.
'''Ctrl+Shift+K in Debian'''.
+
 
|| I will clear the screen.
 
|| I will clear the screen.
 
I wish to add a title to my graph.
 
I wish to add a title to my graph.
Line 238: Line 234:
 
|-
 
|-
 
|| Type '''set title 'My first gnuplot'''' and press '''Enter'''.
 
|| Type '''set title 'My first gnuplot'''' and press '''Enter'''.
|| To add a title, type '''set title '''command, as shown here.  
+
|| To add a title, type '''set title''' command, as shown here.  
 
Followed by the title of the graph in single quotes.
 
Followed by the title of the graph in single quotes.
  
Line 268: Line 264:
 
|| Type '''help set xtics'''
 
|| Type '''help set xtics'''
 
Press '''Enter'''
 
Press '''Enter'''
|| For more help on the formats of '''X tics''', type the command '''help space set space xtics'''.
+
|| For more help on the formats of '''x tics''', type the command '''help space set space xtics'''.
  
 
|-
 
|-
Line 285: Line 281:
 
|| Type '''plot sin (x), cos (x) ''' and press '''Enter'''.
 
|| Type '''plot sin (x), cos (x) ''' and press '''Enter'''.
 
|| To plot '''sin x '''and '''cos x '''on the same graph, separate the '''functions''' by a comma.
 
|| To plot '''sin x '''and '''cos x '''on the same graph, separate the '''functions''' by a comma.
Type '''plot space sin x comma cos x'''  
+
Type '''plot space sin x comma cos x'''.
 
Make sure that the angle''' x''', is within parentheses .
 
Make sure that the angle''' x''', is within parentheses .
  
Line 303: Line 299:
 
|| Point to the graph window.
 
|| Point to the graph window.
 
|| Notice that all 3 '''functions''' are plotted together on the same graph now.
 
|| Notice that all 3 '''functions''' are plotted together on the same graph now.
Next, let’s learn how to get '''sin(x) data points '''into a file.
+
Next, let’s learn how to get '''sin(x) data points''' into a file.
  
 
|-
 
|-
 
|| Only narration.
 
|| Only narration.
|| To get an '''ASCII column format''' output, '''set table command '''can be used.
+
|| To get an '''ASCII column format''' output, '''set table command''' can be used.
  
 
|-
 
|-
Line 324: Line 320:
 
|| Highlight first column.
 
|| Highlight first column.
 
Highlight second column.
 
Highlight second column.
|| The first column is '''x data''' and the second column is''' y data'''.
+
|| The first column is '''x data''' and the second column is '''y data'''.
 
They are the '''points''' of '''sin''' '''x '''versus '''x''' graph.
 
They are the '''points''' of '''sin''' '''x '''versus '''x''' graph.
  
Line 333: Line 329:
  
 
|-
 
|-
|| Type '''set table "table-sinx.txt"''' and press '''Enter'''
+
|| Type '''set table "table-sinx.txt"''' and press '''Enter'''.
 
|| For this, type '''set space table space '''within double quotes''' sinx dot txt'''.
 
|| For this, type '''set space table space '''within double quotes''' sinx dot txt'''.
  
Here '''sinx dot txt '''is the output filename.
+
Here '''sinx dot txt''' is the output filename.
  
 
|-
 
|-
Line 353: Line 349:
  
 
|-
 
|-
|| Enter '''q'''
+
|| Enter '''quit'''.
 
|| Then type '''quit''' or '''q''' to quit '''gnuplot'''.
 
|| Then type '''quit''' or '''q''' to quit '''gnuplot'''.
  
Line 360: Line 356:
 
'''Summary'''
 
'''Summary'''
 
|| Let’s summarize.
 
|| Let’s summarize.
In this tutorial, we plotted '''2D''' graphs of '''functions'''.
+
In this tutorial,  
  
 +
* we plotted '''2D''' graphs of '''functions'''.
 
We also  
 
We also  
 
* Added grid and set limits
 
* Added grid and set limits
* Zoomed in and zoomed out of the graph
+
* Zoomed in and zoomed out of a plot
 
* Added axis labels and graph title  
 
* Added axis labels and graph title  
 
* Changed font style and size  
 
* Changed font style and size  
 
and  
 
and  
 
* Saved the '''data points''' to a file
 
* Saved the '''data points''' to a file
 
  
 
|-
 
|-
Line 376: Line 372:
 
|| As an assignment, plot the following '''functions''':
 
|| As an assignment, plot the following '''functions''':
 
* '''tan x '''
 
* '''tan x '''
* '''x squared''' and
+
* '''x squared'''  
 +
and
 
* '''x minus three squared '''
 
* '''x minus three squared '''
  
 
|-
 
|-
|| '''Completed assignment'''
+
|| Show '''Completed assignment'''.
 
|| Your completed assignment should look like this.
 
|| Your completed assignment should look like this.
  
Line 386: Line 383:
 
|| '''Slide Number 8'''
 
|| '''Slide Number 8'''
 
'''Spoken Tutorial Project'''
 
'''Spoken Tutorial Project'''
|| This video summarises the Spoken Tutorial Project  
+
|| This video summarises the Spoken Tutorial Project.
 
Please download and watch it.
 
Please download and watch it.
  

Revision as of 16:40, 14 October 2019

Visual Cue Narration
Slide Number 1

Title Slide Plotting functions

Welcome to the tutorial on Plotting functions in gnuplot.
Slide Number 2

Learning Objectives

In this tutorial we will learn,
  • Plot and replot commands for 2D plotting
  • Plot three functions: sin x, cos x and sin x plus cos x
  • Draw grid and set limits
  • Zoom in and zoom out of a plot
Slide Number 3

Learning Objectives

  • Add axis labels and graph title
  • Change font style and size
  • Add Greek symbols
  • Set axis tick marks

and

  • Save the data points to a file
Slide Number 3

System and Software Requirement

To record this tutorial, I am using
  • Debian Linux 9.3
  • gnuplot 5.2.6

and

  • gedit text editor 3.22
Slide Number 4

Pre-requisites

To follow this tutorial,
  • Learner must be familiar with high school level Mathematics
  • For prerequisite gnuplot tutorials, please visit this site
Press Ctrl Alt T . Open a terminal by pressing Ctrl, Alt and T keys simultaneously.
Type cd Desktop and press Enter. A terminal opens.

Change directory to Desktop as seen.

Type gnuplot and press Enter. In the terminal, type gnuplot and press Enter.
Hover mouse near gnuplot prompt. The prompt changes to gnuplot prompt.

To execute a command in the terminal, press Enter after typing it. I will not mention this separately.

Press Ctrl shift K. I will clear the terminal.
Type plot sin (x) and Press Enter. Now type plot space sin (x).

Note that angle x is within parentheses.

Point to graphical window. A graphical window with plot of sin(x) versus x appears on the screen.
Hover mouse on graph, axes. The limit of Y axis is from minus 1 to plus 1.

And X axis is from -10 to 10.

Type set grid and press Enter. Come back to the terminal and type the command set space grid.
Type replot and press Enter Then type replot to see the grid in the graph.
Hold Ctrl and zoom in with mouse scroll. Hold down the Control key and move the mouse scroll wheel to zoom in and zoom out.
Point to sin x and x. Observe that sin x is zero when x is zero.
Show zoom in and out. Let us reset the limits of the axes as before.
Type reset and press Enter. To reset, type the command reset' in the terminal, followed by replot.
Type replot and press Enter. Changes in the graph become visible only after executing the replot command.
Point to the legend. Notice that the legend is on the top right side in the graph.

It is not clear and intersects the graph.

Point mouse on the legend. Let's increase y axis range, so that the graph line does not run through the legend.
Type set yrange [-2:2] and

press Enter.

Type set space yrange space -2 colon 2 within square brackets.
Type set xrange [-20:20] and

Press Enter.

I will also change x axis range.

Enter command, set space xrange space -20 colon 20 within square brackets.

Type replot and

Press Enter

Type replot to see the updated graph.
Now the changed graph limits are visible.
Point to the legend. The legend has moved up and does not intersect the data line anymore.
Type set key top left and press Enter Type set space key space top space left to move the legend to the top left side.
Type replot and press Enter. Do not forget to replot to see the result.
Hover mouse next to axis font. Next, let's make the axes fonts larger.

I want to set them at size 14 and in Verdana style.

Type set tics font “Verdana, 14” and press Enter. Type this command as shown here, to change the font size and style.

Replot to see the result.

Hover mouse next to axis font. Notice the larger font size in Verdana style.
Type set xlabel 'x (angle)' font “Verdana, 14”.

Press Enter

Let's set x axis label as x angle.

Type the command as shown here. Here we are specifying the label, font style and size in a single command.

Type set ylabel 'sin (x)' font “Verdana, 14” and press Enter. To set y axis label as sin x, type the command, as shown here.
Only narration. We are using the same font size and style for y axis too.
Type replot and press Enter Type replot and press Enter.
Only narration. Now, let’s see how to change the font in the legend.
Type set key font ",16" and

Press Enter

Type

set space key space font space within double quotes comma 16 . This command sets the legend font size to 16.

Press Ctrl+Alt+K. I will clear the terminal.
Type help fonts and press Enter To access help documentation on fonts, type help space fonts.
Point mouse to cairo, gd and postscript Help command returns with 3 subtopics cairo, gd and postscript.
Type cairo and press Enter I will type cairo to see the details and available options.
Only narration. Similarly you may choose to use help for any command when using gnuplot.
Mouse in Help section. You may pause the video and read the details given in the help section.
Press Ctrl C. Once done, press Control and C keys to exit the help section.
Ctrl+L in Ubuntu and Ctrl+Shift+K in Debian. I will clear the screen.

I wish to add a title to my graph.

Type set title 'My first gnuplot' and press Enter. To add a title, type set title command, as shown here.

Followed by the title of the graph in single quotes.

Type set title font "verdana, 18" and press Enter. To set the title font, type the command as shown here.
Point to x axis. In the sinx versus x plot, dimensions of x axis is angle.

Hence we may want to label X axis in terms of angle, π.

In the terminal, type,

set xtics ('-4{/Symbol p}' -4*pi,'-3{/Symbol p}' -3*pi,'-2{/Symbol p}' -2*pi, '-{/Symbol p}' -pi, 0, '{/Symbol p}' pi,'2{/Symbol p}' 2*pi, '3{/Symbol p}' 3*pi, '4{/Symbol p}' 4*pi,) and pressEnter.

To change X ticks to angle, type the following command as shown on the screen.

Here we are using the Greek alphabet pi and setting its position.

Point mouse to ('2{/Symbol p}' and then to 2*pi. This command places, Greek symbol pi, at the value of 3.14.

Label 2π is at position 6.28 on the X axis.

Point to and . Multiples of pi are placed at their respective positions.
Type help set xtics

Press Enter

For more help on the formats of x tics, type the command help space set space xtics.
Press Ctrl C. Press Ctrl and C keys to exit the help section.
Press Ctrl+Shift+K in Debian. I will clear the terminal.
Only narration It is also possible to add multiple functions on the same graph.
Type plot sin (x), cos (x) and press Enter. To plot sin x and cos x on the same graph, separate the functions by a comma.

Type plot space sin x comma cos x. Make sure that the angle x, is within parentheses .

Point to the graph window. Notice that the two functions are plotted together now.
Only narration. Next, we will add sin (x) plus cos (x) function to the same graph.
Type plot sin(x), cos(x), sin(x) + cos(x) and press Enter. For this, type plot space sin(x) comma cos(x) comma sin(x) plus cos(x) .
Point to the graph window. Notice that all 3 functions are plotted together on the same graph now.

Next, let’s learn how to get sin(x) data points into a file.

Only narration. To get an ASCII column format output, set table command can be used.
Type set space table and press Enter. First type set space table.
Enter command plot sin(x) and press Enter. Then type plot space sin(x).
Point to the screen An x y column data for sin(x) is generated on the screen.
Highlight first column.

Highlight second column.

The first column is x data and the second column is y data.

They are the points of sin x versus x graph.

Press Ctrl+Alt+K I will clear the terminal.

We can save the output as a text file.

Type set table "table-sinx.txt" and press Enter. For this, type set space table space within double quotes sinx dot txt.

Here sinx dot txt is the output filename.

Type plot sin(x) and press Enter. Then, type plot space sin(x).

The output is saved to the file sin x dot txt. The data is not seen on the screen.

Show screenshot of Desktop showing the file sinx.txt. The file is stored in the directory from where we opened gnuplot in the terminal.
Type unset table and press Enter. Type unset space table to exit the tabular output mode.
Enter quit. Then type quit or q to quit gnuplot.
Slide Number 6

Summary

Let’s summarize.

In this tutorial,

  • we plotted 2D graphs of functions.

We also

  • Added grid and set limits
  • Zoomed in and zoomed out of a plot
  • Added axis labels and graph title
  • Changed font style and size

and

  • Saved the data points to a file
Slide Number 7

Assignment

As an assignment, plot the following functions:
  • tan x
  • x squared

and

  • x minus three squared
Show Completed assignment. Your completed assignment should look like this.
Slide Number 8

Spoken Tutorial Project

This video summarises the Spoken Tutorial Project.

Please download and watch it.

Slide Number 9

Spoken Tutorial workshops

We conduct workshops using spoken tutorials and give certificates.

Please write to us.

Slide Number 10

Forum for specific questions:

Post your timed queries in the forum.
Slide Number 11

AcknowledgemenT

Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India.
This is Rani from IIT, Bombay. Thank you for joining.

Contributors and Content Editors

Madhurig, Ranipv076