--- /dev/null
+#
+# $Id: vector.dem,v 1.11 2006/07/12 17:21:14 tlecomte Exp $
+#
+# This file demonstrates
+# -1- saving contour lines as a gnuplottable file
+# -2- plotting a vector field on the same graph
+# -3- manipulating columns using the '$1,$2' syntax.
+# the example is taken here from Physics is the display of equipotential
+# lines and electrostatic field for a dipole (+q,-q)
+
+print "\n This file demonstrates
+print " -1- saving contour lines as a gnuplottable file"
+print " -2- plotting a vector field on the same graph"
+print " -3- manipulating columns using the '$1,$2' syntax."
+print " the example is taken here from Physics is the display of equipotential"
+print " lines and electrostatic field for a dipole (+q,-q)"
+#
+ r(x,y)=sqrt(x*x+y*y)
+ v1(x,y)= q1/(r((x-x0),y))
+ v2(x,y)= q2/(r((x+x0),y))
+#
+ vtot(x,y)=v1(x,y)+v2(x,y)
+#
+ e1x(x,y)= q1*(x-x0)/r(x-x0,y)**3
+ e1y(x,y)= q1*(y)/r(x-x0,y)**3
+ e2x(x,y)= q2*(x+x0)/r(x+x0,y)**3
+ e2y(x,y)= q2*(y)/r(x+x0,y)**3
+ etotx(x,y)=e1x(x,y)+e2x(x,y)
+ etoty(x,y)=e1y(x,y)+e2y(x,y)
+ enorm(x,y)=sqrt(etotx(x,y)*etotx(x,y)+etoty(x,y)*etoty(x,y))
+ dx1(x,y)=coef*etotx(x,y)/enorm(x,y)
+ dy1(x,y)=coef*etoty(x,y)/enorm(x,y)
+ dx2(x,y)=coef*etotx(x,y)
+ dy2(x,y)=coef*etoty(x,y)
+#
+ coef=.7
+ x0=1.
+ q1=1
+ q2=-1
+ xmin=-10.
+ xmax=10.
+ ymin=-10.
+ ymax=10.
+#
+reset
+unset autoscale
+set xr [xmin:xmax]
+set yr [ymin:ymax]
+set isosam 31,31
+#set view 0, 0, 1, 1
+set view map
+unset surface
+set contour base
+set cntrparam order 4
+set cntrparam linear
+set cntrparam levels discrete -3,-2 ,-1 ,-0.5 ,-0.2 ,-0.1 ,-0.05 ,-0.02 ,0 ,0.02 ,0.05 ,0.1 ,0.2 ,0.5 ,1 ,2 ,3
+set cntrparam points 5
+#
+set label "-q" at -1,0 center
+set label "+q" at 1,0 center
+splot vtot(x,y) w l
+print "Now create a file with equipotential lines"
+pause -1 "Hit return to continue"
+
+set table "equipo2.tmp"
+replot
+unset table
+reset
+pause 0
+
+plot "equipo2.tmp" w l
+print "Now create a x/y datafile for plotting with vectors "
+print "and display vectors parallel to the electrostatic field"
+pause -1 "Hit return to continue"
+set isosam 31,31
+
+set table "field2xy.tmp"
+splot vtot(x,y) w l
+unset table
+pause 0
+
+unset autoscale
+set xr [xmin:xmax]
+set yr [ymin:ymax]
+set isosam 31,31
+set key under Left reverse
+plot "field2xy.tmp" u 1:2:(coef*dx1($1,$2)):(coef*dy1($1,$2)) w vec, \
+ "equipo2.tmp" w l
+pause -1 "Hit return to continue"
+
+reset
+