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The Maxima on-line user's manual

Algebra Calculator

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Contour_plot Calculator

Contour_plot

Function: contour_plot (<expr>, <x_range>, <y_range>, <options>, ...) It plots the contours (curves of equal value) of <expr> over the region <x_range> by <y_range>. Any additional arguments are treated the same as in plot3d.

contour_plot(x^2-y,[x,-3,3],[y,-3,3]);

This function only works when the plot format is either gnuplot or gnuplot_pipes. The additional package implicit_plot can also be used to plot contours and it works for any format. See implicit_plot.

Examples:

          (%i1) contour_plot (x^2 + y^2, [x, -4, 4], [y, -4, 4])$

          (%i1) F(x, y) := x^3 + y^2;
                                             3    2
          (%o1)                  F(x, y) := x  + y
          (%i2) contour_plot (F, [u, -4, 4], [v, -4, 4])$

You can add any options accepted by plot3d; for instance, the option legend with a value of false, to remove the legend. Gnuplot chooses, by default, 3 contours to show. to increase the number of levels, it is necessary to specify a custom gnuplot preamble:

          (%i1) contour_plot (u^3 + v^2, [u, -4, 4], [v, -4, 4],
          (%i2) [legend,false], [gnuplot_preamble,"set cntrparam levels 12"])$

(%o1)                                true
(%i2) 

Contour_plot Example

Related Examples

contour_plot
contour_plot(100*0.5^((AngularVelocity/TrackingSpeed*400/400)^2),[AngularVelocity,0.0,1.0],[TrackingSpeed,0.0,1.0],[legend,"%"],[grid,100,100],[color,red,yellow,green],[gnuplot_preamble, "set cntrparam levels 3.1"]);

contour_plot(100*0.5^...

Calculate

contour_plot-set_plot_option-sin-sqrt
contour_plot(2/(1+sqrt(y-sin(x))+sqrt(x+sin(y))),[x,-10,10],[y,-10,10]);

set_plot_option([gnup...

contour_plot(2/(1+sqr...

Calculate

contour_plot-sin
contour_plot (sin(x),[x, -4, 4],[y, -5 , 6]);

contour_plot (sin(x),...

Calculate

contour_plot
contour_plot(x^2+4*y^2-4*x-8*y, [x, -4, 4], [y, -4, 4]);

contour_plot(x^2+4*y^...

Calculate

contour_plot
contour_plot(f(x,y), [x,-0.5,3.5], [y,-0.5,3.5]);

f(x,y):= ((x^3 + y^3...

contour_plot(f(x,y), ...

Calculate

contour_plot-sqrt
 contour_plot (F, [u, -4, 4], [v, -4, 4]);

F(x, y) := sqrt(50*((...

contour_plot (F, [u,...

Calculate

contour_plot
contour_plot(x^2 + y^2, [x, -5, 4], [y, -4, 4]);

contour_plot(x^2 + y^...

Calculate

contour_plot
contour_plot( x ^ 2 - x * y ^ 2 + y ^ 3 , [ x , -2 , 2 ] , [ y , -2 , 2 ] );

contour_plot( x ^ 2 -...

Calculate

contour_plot-sin
contour_plot (sin(x),[x, -4, 4],[y, -5 , 6],[grid, 100,100]);

contour_plot (sin(x),...

Calculate

contour_plot
contour_plot(F^2*C,[F,0,10],[C,0,100]);

contour_plot(F^2*C,[F...

Calculate