Module `Gg.Box1`

type t = box1: The type for 1D boxes (closed intervals).

val dim : int: dim is the dimension of the boxes of type box2.

type v = float: The type for 1D vectors.

type p = float: The type for 1D points.

type size = size1: The type for 1D sizes.

type m = float: The type for matrices representing linear transformations of 1D space.

Constructors, accessors and constants

val v : float -> size1 -> box1: v o size is a box whose origin is o and size is size.

val v_mid : float -> size1 -> box1: v_mid mid size is a box whose mid point is mid and size is size.

val empty : box1: empty is the empty box.

val o : box1 -> float

o b is the origin of b.

raises Invalid_argument: on empty

val ox : box1 -> float: ox b is o b.

val size : box1 -> size1

size b is the size of b.

raises Invalid_argument: on empty

val w : box1 -> float: w b is size b.

val zero : box1: zero is a box whose origin and size is zero.

val unit : box1: unit is the unit box which extends from zero to one in all dimensions.

val of_pts : float -> float -> box1: of_pts p p' is the smallest box whose space contains p and p'.

val add_pt : box1 -> float -> box1: add_pt b p is the smallest box whose space contains b and p.

Functions

val min : box1 -> float

min b is the smallest point of b (its origin).

raises Invalid_argument: on empty

val minx : box1 -> float: minx b is min b.

val max : box1 -> float

max b is the greatest point of b (its size added to the origin).

raises Invalid_argument: on empty

val maxx : box1 -> float: maxx b is max b.

val mid : box1 -> float

mid b is the mid point between min and max.

raises Invalid_argument: on empty

val midx : box1 -> float: midx b is mid b.

val left : box1 -> float: left b is minx b.

val right : box1 -> float: right b is maxx b.

val area : box1 -> float: area b is the surface area of b.

val inter : box1 -> box1 -> box1: inter b b' is a box whose space is the intersection of S(b) and S(b').

val union : box1 -> box1 -> box1: union b b' is the smallest box whose space contains S(b) and S(b').

val inset : float -> box1 -> box1: inset d b is b whose edges are inset in each dimension according to amounts in d. Negative values in d outset. If the resulting size is negative returns empty. Returns empty on empty.

val round : box1 -> box1: round b is the smallest box containing b with integer valued corners. Returns empty on empty.

val move : float -> box1 -> box1: move d b is b translated by d. Returns empty on empty.

val ltr : float -> box1 -> box1: ltr m b is the smallest box containing the corners of b transformed by m. Returns empty on empty.

val tr : m2 -> box1 -> box1: tr m b is the smallest box containing the corners of b transformed by m in homogenous 1D space. Returns empty on empty.

val map_f : (float -> float) -> box1 -> box1: map_f f b is the box whose origin and size are those of b with their components mapped by f. Returns empty on empty.

Predicates and comparisons

val is_empty : box1 -> bool: is_empty b is true iff b is empty.

val is_pt : box1 -> bool: is_pt b is true iff b is not empty and its size is equal to 0 in every dimension.

val isects : box1 -> box1 -> bool: isects b b' is not (is_empty (inter b b')).

val subset : box1 -> box1 -> bool: subset b b' is true iff S(b) is included in S(b').

val mem : float -> box1 -> bool: mem p b is true iff p is in S(b).

val equal : box1 -> box1 -> bool: equal b b' is b = b'.

val equal_f : (float -> float -> bool) -> box1 -> box1 -> bool: equal_f eq b b' tests b and b' like equal but uses eq to test floating point values.

val compare : box1 -> box1 -> int: compare u v is Pervasives.compare u v.

val compare_f : (float -> float -> int) -> box1 -> box1 -> int: compare_f cmp b b' compares b and b' like compare but uses cmp to compare floating point values.

Printers

val pp : Stdlib.Format.formatter -> box1 -> unit: pp ppf b prints a textual representation of b on ppf.

val pp_f : (Stdlib.Format.formatter -> float -> unit) -> Stdlib.Format.formatter -> box1 -> unit: pp_f pp_fl ppf b prints b like pp but uses pp_fl to print floating point values.