Plotting a polar surface

[Alan Bromborsky]

I have a surface that I can efficiently calculate (within Asymptote) as a function of r and theta. It is inefficient (slow) to calculate it as a function of x and y (it involves the Bessel functions K and I). In the documentation I could not find a way to plot it directly on the polar grid I calculate it on. Am I missing a capability of Asymptote plotting functions or is there another way of using the data I generate on the polar grid? Thanks in advance for any help you can offer.

[John Bowman]

As mentioned in the documentation, you can use one of these functions to draw a parametric surface (say with u=r and v=theta):

surface surface(triple f(pair z), real[] u, real[] v,
                splinetype[] usplinetype, splinetype[] vsplinetype=Spline,
                bool cond(pair z)=null);
surface surface(triple f(pair z), pair a, pair b, int nu=nmesh, int nv=nu,
                bool cond(pair z)=null);
surface surface(triple f(pair z), pair a, pair b, int nu=nmesh, int nv=nu,
                splinetype[] usplinetype, splinetype[] vsplinetype=Spline,
                bool cond(pair z)=null);

[Alan Bromborsky]

Dumb me.  Of course a parametric surface.  Thank you.

On 3/29/22 1:38 PM, John Bowman wrote:

As mentioned in the documentation, you can use one of these functions
to draw a parametric surface (say with u=r and v=theta):

|surface surface(triple f(pair z), real[] u, real[] v, splinetype[]
usplinetype, splinetype[] vsplinetype=Spline, bool cond(pair z)=null);
surface surface(triple f(pair z), pair a, pair b, int nu=nmesh, int
nv=nu, bool cond(pair z)=null); surface surface(triple f(pair z), pair
a, pair b, int nu=nmesh, int nv=nu, splinetype[] usplinetype,
splinetype[] vsplinetype=Spline, bool cond(pair z)=null); |

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Plotting a polar surface
https://sourceforge.net/p/asymptote/discussion/409349/thread/24788eb9e1/?limit=25#643f

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