Module type Gg.Box

Implemented by all axis-aligned box types.

type t

The type for boxes.

val dim : int

dim is the dimension of the boxes of type t.

type v

The type for dim vectors.

type p

The type for dim points.

type size

The type for dim sizes.

type m

The type for matrices representing linear transformations of dim space.

Constructors, accessors and constants

val v : p -> size -> t

v o size is a box whose origin is o and size is size.

val v_mid : p -> size -> t

v_mid mid size is a box whose mid point is mid and size is size.

val empty : t

empty is the empty box.

val o : t -> p

o b is the origin of b.

Raises Invalid_argument on empty

val size : t -> size

size b is the size of b.

Raises Invalid_argument on empty

val zero : t

zero is a box whose origin and size is zero.

val unit : t

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

val of_pts : p -> p -> t

of_pts p p' is the smallest box whose space contains p and p'.

val add_pt : t -> p -> t

add_pt b p is the smallest box whose space contains b and p.

Functions

val min : t -> p

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

Raises Invalid_argument on empty

val max : t -> p

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

Raises Invalid_argument on empty

val mid : t -> p

mid b is the mid point between min and max.

Raises Invalid_argument on empty

val area : t -> float

area b is the surface area of b.

val inter : t -> t -> t

inter b b' is a box whose space is the intersection of S(b) and S(b').

val union : t -> t -> t

union b b' is the smallest box whose space contains S(b) and S(b').

val inset : v -> t -> t

inset d b is b whose edges are inset in each dimension according to amounts in d. Negative values in d outset. If the size in dimension i becomes negative it is clamped to 0 and the ith coordinate of the mid point of b is used for the ith coordinate of the resulting box's origin. Returns empty on empty.

val round : t -> t

round b is the smallest box containing b with integer valued corners. Returns empty on empty.

val move : v -> t -> t

move d b is b translated by d. Returns empty on empty.

val ltr : m -> t -> t

ltr m b is the smallest box containing the corners of b transformed by m. Returns empty on empty.

val map_f : ( float -> float ) -> t -> t

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 : t -> bool

is_empty b is true iff b is empty.

val is_pt : t -> bool

is_pt b is true iff b is not empty and its size is equal to 0 in every dimension.

val isects : t -> t -> bool

isects b b' is not (is_empty (inter b b')).

val subset : t -> t -> bool

subset b b' is true iff S(b) is included in S(b').

val mem : p -> t -> bool

mem p b is true iff p is in S(b).

val equal : t -> t -> bool

equal b b' is b = b'.

val equal_f : ( float -> float -> bool ) -> t -> t -> bool

equal_f eq b b' tests b and b' like equal but uses eq to test floating point values.

val compare : t -> t -> int

compare u v is Stdlib.compare u v.

val compare_f : ( float -> float -> int ) -> t -> t -> int

compare_f cmp b b' compares b and b' like compare but uses cmp to compare floating point values.

Formatters

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

pp ppf b prints a textual representation of b on ppf.

val pp_f : ( Stdlib.Format.formatter -> float -> unit ) -> Stdlib.Format.formatter -> t -> unit

pp_f pp_fl ppf b prints b like pp but uses pp_fl to print floating point values.