Description Usage Arguments Details Value Author(s) See Also Examples
Calculates the area of a Dirichlet tile, applying a discrete version of Stoke's theorem.
1  tileArea(x, y, rw)

x 
The 
y 
The 
rw 
A vector of length 4 specifying the rectangular window in
which the relevant tessellation was construced. See

The heavy lifting is done by the Fortran subroutine stoke()
which is called by the .Fortran()
function.
A positive scalar.
Rolf Turner r.turner@auckland.ac.nz
1 2 3 4 5 6 7 8 9 10 11 12  set.seed(42)
x < runif(20)
y < runif(20)
z < deldir(x,y,rw=c(0,1,0,1))
w < tile.list(z)
with(w[[1]],tileArea(x,y,rw=z$rw))
sapply(w,function(x,rw){tileArea(x$x,x$y,attr(w,"rw"))})
x < c(0.613102,0.429294,0.386023,0.271880,0.387249,0.455900,0.486101)
y < c(0.531978,0.609665,0.597780,0.421738,0.270596,0.262953,0.271532)
# The vertices of the Dirichlet tile for point 6.
tileArea(x,y,rw=c(0,1,0,1))
tileArea(x,y,rw=c(1,2,3,4)) # Same as above.

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