CASA Function: plotAlgSet

Plots algebraic sets.

Calling Sequence:

• P := plotAlgSet(A)
• P := plotAlgSet(A,options)

Parameters:

A : algset

• An algebraic set which is to be plotted.

options : expseq

• Options analogous to the Maple plot options.

Result:

P : PLOT

• A plotted graph.

Description:

• The function plots the following algebraic sets: planar curves represented implicitly, in parametric form, or by places, space curves represented implicitly, in parametric form, in projected form, or by places, surfaces represented implicitly, or in parametric form.
• Options are given as equations of the form option=value.
• All options that are used by MAPLE's plotting-functions (plot[options]) are supported. Furthermore, the range for the variables can be given. For every variable occurring in the algebraic set the user must specify a range.
• Also the option order=n is supported. This option is used for plotting places. Each formal powerseries will be developed into a power series up to order n (default is the global variable Order).
• Finally, the option style=point is supported.

Examples:

> a1:=mkImplAlgSet([2*x^4-3*x^2*y+y^2*(y-1)^2],[x,y]);

> plotAlgSet(a1,x=-2..2,y=-1..3,numpoints=200);

> a2:=toPara(a1,t);

> plotAlgSet(a2,t=-10..10,scaling=constrained,axes=boxed);

> a3:=toPlac(a1,[0,0],T);

> plotAlgSet(a3,T=-1..1,order=6,title=`Powerseries expansion`);

See Also: