GNUPlot

• GNUPlot (Zipped file. Extract all the files to your network folder)
  
• GNUPlot for OS-X

Transferring files between omega.uta.edu and local machine

1. By reviewing the lecture note, do the following:
   1. Draw a graph of sin(x³) for − π < x < π.
   2. Draw a graph of (sin x, sin 2x, sin 3x) for 0 < x < 2π together.
   3. Draw a 3-D plot of x*x + sin y
   4. Issue the following command and plot the result.

      complex(x,y) = x*{1,0}+y*{0,1}
      mandel(x,y,z,n) = (abs(z)>2.0 || n>=1000) ? n : mandel(x,y,z*z+complex(x,y),n+1)
      set xrange [-1.5:0.5]
      set yrange [-1:1]
      set logscale z
      set isosample 50
      set hidden3d
      set contour
      splot mandel(x,y,{0,0},0) notitle
      
      
2. 1. Write a C program on omega.uta.edu to generate the following table of
      

      f(x) = 1 − x2/2 + x4/24

      from x = 0 to x = 4.0 with an increment of 0.1, and store the result to a separate file, table.dat.

      0.000000 0.000000 0.100000 0.099833 ................ ................ 3.500000 0.730990 3.600000 0.862848 3.700000 1.036497 3.800000 1.257597 3.900000 1.532184 4.000000 1.866667
   2. Transfer the above date file from omega.uta.edu to a local folder. Launch gnuplot to read the file, table.dat, and plot the data along with cos x. This way, you can find out how good approximating cos x by the first three terms of Taylor series is. The graph should look like
      
   Hint:
   • Refer to the lecture note.
   • Use WinSCP to transfer the file from your omega account to your home folder.
   • When you launch GNUPlot on your local PC, you need to have the default directory changed to the directory where you stored table.dat. Look for and enter your home directory.

   • plot "junk.dat", x**3-x

     plots data from file along with x³− x.
3. Make a GIF animation file from the pictures below:
   

   

   

   

   

   • Save each file to your folder by Right Click, Save Picture as.
   • Download mergegif64.exe (32 bit version here) and save the file to the same folder as above.

   • mergegif -5 01.gif 02.gif 03.gif 04.gif 05.gif > animation.gif

   • Try different delay time (-n).
   • For submission, send the gif file as an attachment.
   If your OS is other than 64 bit, try compiling the source code yourself using gcc available at this site.