# inside.owin: Test Whether Points Are Inside A Window In spatstat.geom: Geometrical Functionality of the 'spatstat' Family

## Description

Test whether points lie inside or outside a given window.

## Usage

 `1` ``` inside.owin(x, y, w) ```

## Arguments

 `x` Vector of x coordinates of points to be tested. (Alternatively, a point pattern object providing both x and y coordinates.) `y` Vector of y coordinates of points to be tested. `w` A window. This should be an object of class `owin`, or can be given in any format acceptable to `as.owin()`.

## Details

This function tests whether each of the points `(x[i],y[i])` lies inside or outside the window `w` and returns `TRUE` if it is inside.

The boundary of the window is treated as being inside.

If `w` is of type `"rectangle"` or `"polygonal"`, the algorithm uses analytic geometry (the discrete Stokes theorem). Computation time is linear in the number of points and (for polygonal windows) in the number of vertices of the boundary polygon. Boundary cases are correct to single precision accuracy.

If `w` is of type `"mask"` then the pixel closest to `(x[i],y[i])` is tested. The results may be incorrect for points lying within one pixel diameter of the window boundary.

Normally `x` and `y` must be numeric vectors of equal length (length zero is allowed) containing the coordinates of points. Alternatively `x` can be a point pattern (object of class `"ppp"`) while `y` is missing; then the coordinates of the point pattern are extracted.

## Value

Logical vector whose `i`th entry is `TRUE` if the corresponding point `(x[i],y[i])` is inside `w`.

## Author(s)

and \rolf

`owin.object`, `as.owin`
 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20``` ``` # hexagonal window k <- 6 theta <- 2 * pi * (0:(k-1))/k co <- cos(theta) si <- sin(theta) mas <- owin(c(-1,1), c(-1,1), poly=list(x=co, y=si)) if(human <- interactive()) { plot(mas) } # random points in rectangle x <- runif(30,min=-1, max=1) y <- runif(30,min=-1, max=1) ok <- inside.owin(x, y, mas) if(human) { points(x[ok], y[ok]) points(x[!ok], y[!ok], pch="x") } ```