# on

0th

Percentile

##### Determines if a point is on or left of the vector described by two other points.

A simple test function to determine the position of one (or more) points relative to a vector spanned by two points.

Keywords
utilities
##### Usage
on(x1, y1, x2, y2, x0, y0, eps = 1e-16)
left(x1, y1, x2, y2, x0, y0, eps = 1e-16)
##### Arguments
x1

x coordinate of first point determinig the vector.

y1

y coordinate of first point determinig the vector.

x2

x coordinate of second point determinig the vector.

y2

y coordinate of second point determinig the vector.

x0

vector of x coordinates to locate relative to the vector $(x_2-x_1, y_2-y_1)$.

y0

vector of x coordinates to locate relative to the vector $(x_2-x_1, y_2-y_1)$.

eps

tolerance for checking if $x_0,y_0$ is on or left of $(x_2-x_1, y_2-y_1)$, defaults to $10^{-16}$.

##### Value

logical vector with the results of the test.

in.convex.hull, on.convex.hull.

• on
• left
##### Examples
# NOT RUN {
y <- x <- c(0,1)
## should be TRUE
on(x,y,x,y,0.5,0.5)
## note the default setting of eps leading to
on(x,y,x,y,0.5,0.50000000000000001)
## also be TRUE

## should be TRUE
left(x,y,x,y,0.5,0.6)
## note the default setting of eps leading to
left(x,y,x,y,0.5,0.50000000000000001)