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Function: changecoords2d - change coordinate systems in a 2d plot

Calling Sequences:

changecoords2d(p, coord);

changecoords2d(p, coords = coord);

Parameters:

p - a two-dimensional plot structure

coord - the name of a two-dimensional coordinate system, or reverse(c) if c is the name of a two-dimensional coordinate system.

Description:

This is a replacement for plots[changecoords] for two-dimensional coordinate systems, to correct bugs in that procedure in Maple 6.

The two-dimensional plot data structure p may be produced by any of the commands that plot two-dimensional graphs, with any plotting options allowed by those commands. Note that any plot options other than coords must be part of the command that produces p , not an option to changecoords2d .

coord may be any of the available two-dimensional coordinate systems: bipolar , cardioid , cartesian , cassinian , elliptic , hyperbolic , invcassinian , invelliptic , logarithmic , logcosh , maxwell , parabolic , polar , rose , tangent , or a system defined using addcoords . The transformations used are given in the coords help page.

With the construction reverse(c) , the roles of the two coordinates are reversed. Thus while changecoords2d(p, polar) produces a plot where the

coordinates of the original plot p are interpreted as polar coordinates

respectively, with reverse(polar) they are interpreted as

Some of the coordinate systems have from one to three parameters, which may be specified in functional form, e.g. logcosh(2) . If parameter values are not specified, the defaults are 1, 1/2, and 1/3 for the three parameters.

The output is a two-dimensional plot data structure which may be displayed directly or assigned to a variable, perhaps modified further, and displayed later.

This function is part of the Maple Advisor Database library.

Examples:

> changecoords2d(plot(cos(x), x=-Pi/2..Pi/2, scaling = constrained), reverse(polar));

> with(plots):
changecoords2d(pointplot([seq([1,Pi/10*i],i=0..19)], style=line), polar);

Warning, the name changecoords has been redefined

> changecoords2d(implicitplot(x=y,x=0..1,y=0..1), logcosh);

> changecoords2d(contourplot(x-y,x=0..1,y=0..1), logcosh);

> changecoords2d(plot(1, x=0..1), logcosh(2));

See also: addcoords , changecoords , coords , plot(coords) , transform , Two-dimensional plots with coords

Maple Advisor Database, R. Israel 1999