package geoml

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in-package search v0.2.0

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This module provides the basic operations over rectangles

type t = private Point.t * float * float

rectangle type

val make : Point.t -> float -> float -> t

make p w h, returns a rectangle where p is the bottom-left corner of the rectangle, w its width and h its height

val of_diagonal : Point.t -> Point.t -> t

of_diagonal p1 p2, builds the rectangle where p1p2 is its diagonal (the bounding rectangle of the two points)

val scale_x : t -> float -> t

val scale_y : t -> float -> t

val scale : t -> float -> t

scale on both axis

val bottom_left : t -> Point.t

val bottom_right : t -> Point.t

val top_right : t -> Point.t

val top_left : t -> Point.t

val translate : float -> float -> t -> t

val reflection : Point.t -> t -> t

val contains : t -> Point.t -> bool

val area : t -> float

val perimeter : t -> float

val proj_x : t -> float * float

val proj_y : t -> float * float

val intersects : t -> t -> bool

determines whether or not two rectangles intersect

val intersect_line : t -> Line.t -> Point.t list

returns the intersection points of a rectangle and a line. returns if they don't intersect.

val segments : t -> Segment.t list

returns a list of length 4 containing the segments of the rectangle

val is_square : t -> bool

tests if the sides of the rectangle have same length

val encompass : t -> Point.t -> t

given a rectangle and point, returns the smallest rectangle that contains the point and the rectangle given as parameters

val bounding : Point.t list -> t

given a list of point, returns the smallest rectangle that contains all the points of the list

val centroid : t -> Point.t

returns the gravity center of a rectangle

val random_point : Stdlib.Random.State.t -> t -> Point.t

returns a randomly and uniformly chosen point of the rectangle

val print : Stdlib.Format.formatter -> t -> unit

printer