Geometry intersection and bounding volume helpers for PEX.

npm install pex-geom

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

pex-geom

aabb

plane

ray

rect

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
  • .aabb : aabb
  • .plane : plane
  • .ray : ray
  • .rect : rect

Kind: static property of pex-geom

Kind: static property of pex-geom

Kind: static property of pex-geom

Kind: static property of pex-geom

• aabb
  • .create() ⇒ aabb
  • .empty(a) ⇒ rect
  • .copy(a) ⇒ aabb
  • .set(a, b) ⇒ aabb
  • .isEmpty(a) ⇒ boolean
  • .fromPoints(a, points) ⇒ aabb
  • .getCorners(a, [points]) ⇒ Array.<vec3>
  • .center(a, out) ⇒ vec3
  • .size(a, out) ⇒ vec3
  • .containsPoint(a, p) ⇒ boolean
  • .includeAABB(a, b) ⇒ aabb
  • .includePoint(a, p, [i]) ⇒ vec3
  • .toString(a, [precision]) ⇒ string

Creates a new bounding box.

Kind: static method of aabb

Reset a bounding box.

Kind: static method of aabb

Copies a bounding box.

Kind: static method of aabb

Sets a bounding box to another.

Kind: static method of aabb

Checks if a bounding box is empty.

Kind: static method of aabb

Updates a bounding box from a list of points.

Kind: static method of aabb

Returns a list of 8 points from a bounding box.

Kind: static method of aabb

Returns the center of a bounding box.

Kind: static method of aabb

Returns the size of a bounding box.

Kind: static method of aabb

Checks if a point is inside a bounding box.

Kind: static method of aabb

Includes a bounding box in another.

Kind: static method of aabb

Includes a point in a bounding box.

Kind: static method of aabb

Prints a bounding box to a string.

Kind: static method of aabb

• plane
  • .Side : enum
  • .create() ⇒ plane
  • .side(plane, point) ⇒ number
  • .toString(a, [precision]) ⇒ string

Enum for different side values

Kind: static enum of plane Read only: true Properties

Creates a new plane

Kind: static method of plane

Returns on which side a point is.

Kind: static method of plane

Prints a plane to a string.

Kind: static method of plane

• ray
  • .Intersections : enum
  • .create() ⇒ ray
  • .hitTestPlane(ray, plane, out) ⇒ number
  • .hitTestTriangle(ray, triangle, out) ⇒ number
  • .hitTestAABB(ray, aabb) ⇒ boolean
  • .intersectsAABB()
  • .toString(a, [precision]) ⇒ string

Enum for different intersections values

Kind: static enum of ray Read only: true Properties

Creates a new ray

Kind: static method of ray

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

Determines if a ray intersect a triangle and set intersection point

Kind: static method of ray See: https://web.archive.org/web/20200701173519/http://geomalgorithms.com/a06-_intersect-2.html#intersect3D_RayTriangle()

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

Alias for hitTestAABB

Kind: static method of ray

Prints a plane to a string.

Kind: static method of ray

• rect
  • .create() ⇒ rect
  • .empty(a) ⇒ rect
  • .copy(a) ⇒ rect
  • .set(a, b) ⇒ rect
  • .isEmpty(a) ⇒ boolean
  • .fromPoints(a, points) ⇒ rect
  • .getCorners(a, points) ⇒ Array.<vec2>
  • .scale(a, n) ⇒ rect
  • .setSize(a, size) ⇒ rect
  • .size(a, out) ⇒ vec2
  • .width(a) ⇒ number
  • .height(a) ⇒ number
  • .aspectRatio(a) ⇒ number
  • .setPosition(a, p) ⇒ rect
  • .center(a, out) ⇒ rect
  • .containsPoint(a, p) ⇒ boolean
  • .containsRect(a, b) ⇒ boolean
  • .includePoint(a, p) ⇒ rect
  • .includeRect(a, b) ⇒ rect
  • .mapPoint(a, p) ⇒ vec2
  • .clampPoint(a, p) ⇒ vec2
  • .toString(a, [precision]) ⇒ string

Creates a new rectangle.

Kind: static method of rect

Reset a rectangle.

Kind: static method of rect

Copies a rectangle.

Kind: static method of rect

Sets a rectangle to another.

Kind: static method of rect

Checks if a rectangle is empty.

Kind: static method of rect

Updates a rectangle from a list of points.

Kind: static method of rect

Returns a list of 4 points from a rectangle.

Kind: static method of rect

Scales a rectangle.

Kind: static method of rect

Sets the size of a rectangle using width and height.

Kind: static method of rect

Returns the size of a rectangle.

Kind: static method of rect

Returns the width of a rectangle.

Kind: static method of rect

Returns the height of a rectangle.

Kind: static method of rect

Returns the aspect ratio of a rectangle.

Kind: static method of rect

Sets the position of a rectangle.

Kind: static method of rect

Returns the center of a rectangle.

Kind: static method of rect

Checks if a point is inside a rectangle.

Kind: static method of rect

Checks if a rectangle is inside another rectangle.

Kind: static method of rect

Includes a point in a rectangle.

Kind: static method of rect

Includes a rectangle in another rectangle.

Kind: static method of rect

Maps a point into the dimensions of a rectangle.

Kind: static method of rect

Clamps a point into the dimensions of a rectangle.

Kind: static method of rect

Prints a rect to a string.

Kind: static method of rect

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

Kind: global typedef

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

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

Kind: global typedef

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

Kind: global typedef

A triangle defined by three 3D points.

Kind: global typedef

Kind: global typedef

Kind: global typedef

Kind: global typedef

MIT. See license file.