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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-exp-min-plot2d-plot3d-sqrt-sum
plot3d([min(T(x,0,z),1600),[x,-30,3],[z,-H,0]],[mesh_lines_color, true], [colorbox, true],[legend,"T [celsius]"],[elevation,30],[azimuth,30]);

/* Temperatura inicia...

/* Potência da fonte ...

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

F(x, y) := x^3 + y^2+...

contour_plot (F, [u,...

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

contour_plot(F*C,[F,0...

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contour_plot
contour_plot(f(x,y), [x,-1,1], [y,-1,1]);

f(x,y):= (x^2 - y^2);

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

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contour_plot-cos-sin
contour_plot(f,[x,-3,5],[y,-1,5],[gnuplot_preamble, "set cntrparam levels 13"]);

f: x ^ 2 - 6 * sin(y)...

contour_plot(f,[x,-3,...

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contour_plot-exp-set_plot_option
contour_plot(-x*y/exp(x^2+y^2),[x,-2,2],[y,-2,2]);

set_plot_option([gnup...

contour_plot(-x*y/exp...

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contour_plot-exp-set_plot_option
contour_plot(-x*y/exp(x^2+y^2),[x,-2,2],[y,-2,2]);

set_plot_option([gnup...

contour_plot(-x*y/exp...

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contour_plot-cos-sin
contour_plot(f,[x,-3,2],[y,-1,5],[gnuplot_preamble, "set cntrparam levels 13"]);

f: 9*x^2 + 4*y^2 - y*...

contour_plot(f,[x,-3,...

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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],[palette, [hue,0.0,.85,.85,1.0/3.0]]);

contour_plot(100*0.5^...

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contour_plot-cos-sin
contour_plot(f,[x,-2,2],[y,-1,3],[gnuplot_preamble, "set ctnrparam levels 13"]);

f:x^2+y^2-2*y*cos(x)-...

contour_plot(f,[x,-2,...

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