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Geometry intersection and bounding volume helpers for PEX.

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pex-geom

npm version stability-stable npm minzipped size dependencies types Conventional Commits styled with prettier linted with eslint license

Geometry intersection and bounding volume helpers for PEX.

Installation

npm install pex-geom

Usage

import { ray, aabb } from "pex-geom";

const box = aabb.fromPoints([
  [-1, -1, -1],
  [1, 1, 1],
]);

const intersect = ray.hitTestAABB(
  [
    [0, 0, 0],
    [0, 1, 0],
  ],
  box
);
console.log(intersect);
// => true

API

Modules

pex-geom
aabb
plane
ray
rect

Typedefs

aabb : Array.<Array.<number>>

An axis-aligned bounding box defined by two min and max 3D points (eg. [[minX, minY, minZ], [maxX, maxY, maxZ]]).

plane : Array.<Array.<number>>

A plane defined by a 3D point and a normal vector perpendicular to the plane’s surface (eg. [[pointX, pointY, pointZ], [normalX, normalY, normalZ]]).

ray : Array.<Array.<number>>

A ray defined by a starting 3D point origin and a 3D direction vector (eg. [[originX, originY, originZ], [directionX, directionY, directionZ]).

rect : Array.<Array.<number>>

A rectangle defined by two diagonally opposite 2D points (eg. [[minX, minY], [maxX, maxY]]).

triangle : Array.<Array.<number>>

A triangle defined by three 3D points.

vec2 : module:pex-math~vec2
vec3 : module:pex-math~vec3
TypedArray : module:pex-math~TypedArray

pex-geom

pex-geom.aabb : aabb

Kind: static property of pex-geom

pex-geom.plane : plane

Kind: static property of pex-geom

pex-geom.ray : ray

Kind: static property of pex-geom

pex-geom.rect : rect

Kind: static property of pex-geom

aabb

aabb.create() ⇒ aabb

Creates a new bounding box.

Kind: static method of aabb

aabb.empty(a) ⇒ rect

Reset a bounding box.

Kind: static method of aabb

Param Type
a aabb

aabb.copy(a) ⇒ aabb

Copies a bounding box.

Kind: static method of aabb

Param Type
a aabb

aabb.set(a, b) ⇒ aabb

Sets a bounding box to another.

Kind: static method of aabb

Param Type
a aabb
b aabb

aabb.isEmpty(a) ⇒ boolean

Checks if a bounding box is empty.

Kind: static method of aabb

Param Type
a aabb

aabb.fromPoints(a, points) ⇒ aabb

Updates a bounding box from a list of points.

Kind: static method of aabb

Param Type
a aabb
points Array.<vec3> | TypedArray

aabb.getCorners(a, [points]) ⇒ Array.<vec3>

Returns a list of 8 points from a bounding box.

Kind: static method of aabb

Param Type
a aabb
[points] Array.<vec3>

aabb.center(a, out) ⇒ vec3

Returns the center of a bounding box.

Kind: static method of aabb

Param Type
a aabb
out vec3

aabb.size(a, out) ⇒ vec3

Returns the size of a bounding box.

Kind: static method of aabb

Param Type
a aabb
out vec3

aabb.containsPoint(a, p) ⇒ boolean

Checks if a point is inside a bounding box.

Kind: static method of aabb

Param Type
a aabb
p vec3

aabb.includeAABB(a, b) ⇒ aabb

Includes a bounding box in another.

Kind: static method of aabb

Param Type
a aabb
b aabb

aabb.includePoint(a, p, [i]) ⇒ vec3

Includes a point in a bounding box.

Kind: static method of aabb

Param Type Default Description
a aabb
p vec3
[i] number 0 offset in the point array

aabb.toString(a, [precision]) ⇒ string

Prints a bounding box to a string.

Kind: static method of aabb

Param Type Default
a aabb
[precision] number 4

plane

plane.Side : enum

Enum for different side values

Kind: static enum of plane Read only: true

plane.create() ⇒ plane

Creates a new plane

Kind: static method of plane

plane.side(plane, point) ⇒ number

Returns on which side a point is.

Kind: static method of plane

Param Type
plane plane
point vec3

plane.toString(a, [precision]) ⇒ string

Prints a plane to a string.

Kind: static method of plane

Param Type Default
a plane
[precision] number 4

ray

ray.Intersections : enum

Enum for different intersections values

Kind: static enum of ray Read only: true

ray.create() ⇒ ray

Creates a new ray

Kind: static method of ray

ray.hitTestPlane(ray, plane, out) ⇒ number

Determines if a ray intersect a plane and set intersection point

Kind: static method of ray See: https://www.cs.princeton.edu/courses/archive/fall00/cs426/lectures/raycast/sld017.htm

Param Type
ray ray
plane plane
out vec3

ray.hitTestTriangle(ray, triangle, out) ⇒ number

Determines if a ray intersect a triangle and set intersection point

Kind: static method of ray See: http://geomalgorithms.com/a06-_intersect-2.html#intersect3D_RayTriangle()

Param Type
ray ray
triangle triangle
out vec3

ray.hitTestAABB(ray, aabb) ⇒ boolean

Determines if a ray intersect an AABB bounding box

Kind: static method of ray See: http://gamedev.stackexchange.com/questions/18436/most-efficient-aabb-vs-ray-collision-algorithms

Param Type
ray ray
aabb aabb

ray.intersectsAABB()

Alias for hitTestAABB

Kind: static method of ray

ray.toString(a, [precision]) ⇒ string

Prints a plane to a string.

Kind: static method of ray

Param Type Default
a ray
[precision] number 4

rect

rect.create() ⇒ rect

Creates a new rectangle.

Kind: static method of rect

rect.empty(a) ⇒ rect

Reset a rectangle.

Kind: static method of rect

Param Type
a rect

rect.copy(a) ⇒ rect

Copies a rectangle.

Kind: static method of rect

Param Type
a rect

rect.set(a, b) ⇒ rect

Sets a rectangle to another.

Kind: static method of rect

Param Type
a rect
b rect

rect.isEmpty(a) ⇒ boolean

Checks if a rectangle is empty.

Kind: static method of rect

Param Type
a rect

rect.fromPoints(a, points) ⇒ rect

Updates a rectangle from a list of points.

Kind: static method of rect

Param Type
a rect
points Array.<vec2> | TypedArray

rect.getCorners(a, points) ⇒ Array.<vec2>

Returns a list of 4 points from a rectangle.

Kind: static method of rect

Param Type
a rect
points Array.<vec2>

rect.scale(a, n) ⇒ rect

Scales a rectangle.

Kind: static method of rect

Param Type
a rect
n number

rect.setSize(a, size) ⇒ rect

Sets the size of a rectangle using width and height.

Kind: static method of rect

Param Type
a rect
size vec2

rect.size(a, out) ⇒ vec2

Returns the size of a rectangle.

Kind: static method of rect

Param Type
a rect
out vec2

rect.width(a) ⇒ number

Returns the width of a rectangle.

Kind: static method of rect

Param Type
a rect

rect.height(a) ⇒ number

Returns the height of a rectangle.

Kind: static method of rect

Param Type
a rect

rect.aspectRatio(a) ⇒ number

Returns the aspect ratio of a rectangle.

Kind: static method of rect

Param Type
a rect

rect.setPosition(a, p) ⇒ rect

Sets the position of a rectangle.

Kind: static method of rect

Param Type
a rect
p vec2

rect.center(a, out) ⇒ rect

Returns the center of a rectangle.

Kind: static method of rect

Param Type
a rect
out vec2

rect.containsPoint(a, p) ⇒ boolean

Checks if a point is inside a rectangle.

Kind: static method of rect

Param Type
a rect
p vec2

rect.containsRect(a, b) ⇒ boolean

Checks if a rectangle is inside another rectangle.

Kind: static method of rect

Param Type
a rect
b rect

rect.includePoint(a, p) ⇒ rect

Includes a point in a rectangle.

Kind: static method of rect

Param Type
a rect
p vec2

rect.includeRect(a, b) ⇒ rect

Includes a rectangle in another rectangle.

Kind: static method of rect

Param Type
a rect
b rect

rect.mapPoint(a, p) ⇒ vec2

Maps a point into the dimensions of a rectangle.

Kind: static method of rect

Param Type
a rect
p vec2

rect.clampPoint(a, p) ⇒ vec2

Clamps a point into the dimensions of a rectangle.

Kind: static method of rect

Param Type
a rect
p vec2

rect.toString(a, [precision]) ⇒ string

Prints a rect to a string.

Kind: static method of rect

Param Type Default
a rect
[precision] number 4

aabb : Array.<Array.<number>>

An axis-aligned bounding box defined by two min and max 3D points (eg. [[minX, minY, minZ], [maxX, maxY, maxZ]]).

Kind: global typedef

plane : Array.<Array.<number>>

A plane defined by a 3D point and a normal vector perpendicular to the plane’s surface (eg. [[pointX, pointY, pointZ], [normalX, normalY, normalZ]]).

Kind: global typedef

ray : Array.<Array.<number>>

A ray defined by a starting 3D point origin and a 3D direction vector (eg. [[originX, originY, originZ], [directionX, directionY, directionZ]).

Kind: global typedef

rect : Array.<Array.<number>>

A rectangle defined by two diagonally opposite 2D points (eg. [[minX, minY], [maxX, maxY]]).

Kind: global typedef

triangle : Array.<Array.<number>>

A triangle defined by three 3D points.

Kind: global typedef

vec2 : module:pex-math~vec2

Kind: global typedef

vec3 : module:pex-math~vec3

Kind: global typedef

TypedArray : module:pex-math~TypedArray

Kind: global typedef

License

MIT. See license file.