anglesArc: Angles of the extremes of an arc

In alphahull: Generalization of the Convex Hull of a Sample of Points in the Plane

Angles of the extremes of an arc

Description

Given a vector v and an angle \theta, anglesArc returns the angles that A_\theta v and A_{-\theta} v form with the axis OX, where A_\theta v represents the clockwise rotation of angle \theta of the vector v.

Usage

anglesArc(v, theta)

Arguments

v	Vector v in the plane.
theta	Angle \theta (in radians).

Details

The angle that forms the vector v with the axis OX takes its value in [0,2\pi).

Value

angs	Numeric vector with two components.

Examples

## Not run: 
# Let v=c(0,1) and theta=pi/4
# Consider the arc such that v is the internal angle bisector that 
# divides the angle 2*theta into two equal angles
# The angles that the arc forms with the OX axis are pi/4 and 3*pi/4
v <- c(0,1)
theta <- pi/4
anglesArc(v,theta)

## End(Not run)

alphahull documentation built on Oct. 30, 2026, 1:07 a.m.