Sample uniformly within a fixed radius.

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I was asked how to do this today and thought that I would share the answer:

## Sample points uniformly within a fixed radius


## Sample data  
## NB: To get a truly uniform sample over the circle, you must 
##     sample the square of the distance and then transform back.
tempdat<-data.frame(X0=0,Y0=0, bearing0=0, 
                    bad.dist= runif(nrand)*maxstep, 

##convert Turning angle to bearing (in this case no change)

## Convert from polar to cartesian coordinates


##make plots
plot(Ybad~Xbad, data=tempdat, asp=1, main="Center is oversampled")
plot(Y~X, data=tempdat, asp=1, main="Uniform across space")

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