Class of static functions to help with intersection calculations More...

Static Public Member Functions
static float	DistanceLineLine (Vector3 lineAPoint, Vector3 lineADirection, Vector3 lineBPoint, Vector3 lineBDirection)
	Gets the shortest distance between two infinite lines. More...

static float	SqrDistanceSegmentToSegment (Vector3 segment0Point0, Vector3 segment0Point1, Vector3 segment1Point0, Vector3 segment1Point1, out float closestPoint0, out float closestPoint1)
	Gets the square of shortest distance between two finite line segments. More...

static float	SqrDistancePointTriangle (Vector3 point, Vector3 triangle0, Vector3 triangle1, Vector3 triangle2, out Vector3 closestPoint)
	Gets the square of shortest distance between a point and a triangle in 3D space. More...

static bool	IsPointInTriangle (Vector3 p0, Vector3 p1, Vector3 p2, Vector3 point)
	Checks if a point lies inside a triangle More...

static bool	GetPlaneFromTriangle (Vector3 t0, Vector3 t1, Vector3 t2, out Vector3 outPlanePoint, out Vector3 outPlaneNormal)
	Gets a point and normal direction representing the plane containing a given triangle. More...

static Vector3	PointSegmentProjection (Vector3 point, Vector3 segPoint0, Vector3 segPoint1)
	Gets the projection of a point on a finite line segment. More...

static bool	ClosestPointsLineToLine (Vector3 p1, Vector3 p2, Vector3 p3, Vector3 p4, out Vector3 pa, out Vector3 pb)
	Gets the closest point between two infinite lines. More...

static bool	IntersectAABBoxWithOOBBox (Vector3 minA, Vector3 maxA, Matrix4x4 matrixB, Vector3 minB, Vector3 maxB)
	Determines if an AABB box intersects with an OOBB box. More...

static bool	IntersectCapsuleWithCapsule (Vector3 capsule0Point0, Vector3 capsule0Point1, float capsule0Radius, Vector3 capsule1Point0, Vector3 capsule1Point1, float capsule1Radius)
	Determines if a capsule intersects with another capsule More...

static bool	IntersectCapsuleWithCapsule (Vector3 capsule0Point0, Vector3 capsule0Point1, float capsule0Radius, Vector3 capsule1Point0, Vector3 capsule1Point1, float capsule1Radius, out Vector3 collisionPointOnCapsule1, out Vector3 pushBackVector)
	Determines if a capsule intersects with another capsule, returning the intersection point on the outer surface of capsule1 and the pushback vector to separate capsule1 away from capsule0 More...

static bool	IntersectInfinitePlaneWithInfinitePlane (Vector3 planeNormal0, Vector3 planePoint0, Vector3 planeNormal1, Vector3 planePoint1, out Vector3 linePoint, out Vector3 lineDirection)
	Determines if two planes intersect. If yes, it also returns the line that intersects the two planes. More...

static bool	IntersectLineWithInfinitePlane (Vector3 linePoint, Vector3 lineDir, Vector3 planePoint, Vector3 planeDir, out Vector3 intersectionPoint)
	Determines if a line intersects with a plane, and if yes, also returns the intersection point. More...

static bool	IntersectLineWithTriangle (Vector3 linePoint, Vector3 lineDir, Vector3 t0, Vector3 t1, Vector3 t2, out Vector3 outContact)
	Determines if a infinite line intersects with a triangle, and if yes, also returns the intersection point. More...

static bool	IntersectLineWithLine (Vector3 line0Point, Vector3 line0Vec, Vector3 line1Point, Vector3 line1Vec, out Vector3 intersectionPoint)
	Determines if two infinite lines intersect each other More...

static int	IntersectLineWithCapsule (Vector3 pointOnLine, Vector3 lineDirection, Vector3 capsuleOrigin, Vector3 capsuleDirection, float capsuleRadius, out float[] afT)
	Determines if an infinite line intersects a capsule More...

static bool	IntersectOOBBoxWithOOBBox (Matrix4x4 matrixA, Vector3 minA, Vector3 maxA, Matrix4x4 matrixB, Vector3 minB, Vector3 maxB)
	Determines if an OOBB box intersects another OOBB box More...

static bool	IntersectPointWithAABBox (Vector3 point, Vector3 minA, Vector3 maxA)
	Determines if a point lies inside an AABB box More...

static bool	IntersectPointWithOOBBox (Vector3 point, Matrix4x4 matrix, Vector3 min, Vector3 max)
	Determines if a point lies inside an OOBB box More...

static bool	IntersectPointWithSphere (Vector3 point, Vector3 center, float radius)
	Determines if a point lies inside a sphere More...

static bool	IntersectPointWithCapsule (Vector3 point, Vector3 capsulePoint0, Vector3 capsulePoint1, float capsuleRadius)
	Determines if a point lies inside a capsule More...

static bool	IntersectPointWithTube (Vector3 point, Vector3 tubeStart, Vector3 tubeEnd, float radiusStart, float radiusEnd)
	Determines if a point lies inside a tube More...

static bool	IntersectRayAABBox (Vector3 originRay, Vector3 dirRay, Vector3 minBox, Vector3 maxBox, out Vector3 coord)
	Determines if a ray starting from a given point intersects with an AABB box More...

static bool	IntersectRayOOBBox (Vector3 originRay, Vector3 dirRay, Matrix4x4 matrixBox, Vector3 minBox, Vector3 maxBox, out Vector3 coord)
	Determines if a ray starting from a given point intersects with an OOBB box More...

static bool	IntersectRayWithCylinder (Vector3 rayOrigin, Vector3 ray, Vector3 cylinderBasis, Vector3 cylinderAxis, float radius, float height, out float dist, out Vector3 hitPoint, out float distOnCylinder)
	Determines if a ray starting from a given point intersects with a cylinder More...

static int	IntersectSegmentWithCapsule (Vector3 segmentPoint, Vector3 segmentDirection, Vector3 capsuleOrigin, Vector3 capsuleDirection, float capsuleRadius, out Vector3[] intersectionPoints)
	Determines if a finite segment intersects with a capsule More...

static bool	IntersectSegmentWithCapsule (Vector3 segmentPoint0, Vector3 segmentPoint1, Vector3 capsulePoint0, Vector3 capsulePoint1, float capsuleRadius)
	Determines if a finite segment intersects with a capsule More...

static bool	IntersectSegmentWithInfinitePlane (Vector3 p0, Vector3 p1, Vector3 planeOrigin, Vector3 planeNormal, out Vector3 outContact)
	Determines if a finite segment intersects with a plane More...

static bool	IntersectSegmentWithSegment (Vector3 segAPoint0, Vector3 segAPoint1, Vector3 segBPoint0, Vector3 segBPoint1, out Vector3 intersectionPoint, out float sFactor, out float tFactor)
	Determines if two finite segments intersect More...

static bool	IntersectSegmentWithTriangle (Vector3 p0, Vector3 p1, Vector3 t0, Vector3 t1, Vector3 t2, out Vector3 outContact)
	Determines if a finite segment intersects with a triangle More...

static bool	IntersectSegmentAABBox (Vector3 point0Seg, Vector3 point1Seg, Vector3 minBox, Vector3 maxBox, out Vector3 coord0, out Vector3 coord1)
	Determines if a finite segment intersects an AABB box More...

static bool	IntersectSegmentWithOOBBox (Vector3 segPoint0, Vector3 segPoint1, Matrix4x4 boxMatrix, Vector3 boxMin, Vector3 boxMax)
	Determines if a finite segment intersects with an OOBB box More...

static bool	IntersectSegmentWithOOBBox (Vector3 point0Seg, Vector3 point1Seg, Matrix4x4 matrixBox, Vector3 minBox, Vector3 maxBox, out Vector3 coord0, out Vector3 coord1)
	Determines if a finite segment intersects with an OOBB box, returning the intersection points More...

static bool	IntersectSegmentWithSphere (Vector3 segPoint0, Vector3 segPoint1, Vector3 sphereCenter, float sphereRadius)
	Determines if a finite segment intersects a sphere More...

static bool	IntersectSphereWithAABBox (Vector3 center, float radius, Vector3 min, Vector3 max)
	Determines if a sphere intersects with an AABB box More...

static bool	IntersectSphereWithOOBBox (Vector3 center, float radius, Matrix4x4 matrix, Vector3 min, Vector3 max)
	Determines if a sphere intersects with an OOBB box More...

static bool	IntersectSphereWithCapsule (Vector3 sphereCenter, float sphereRadius, Vector3 capsulePoint0, Vector3 capsulePoint1, float capsuleRadius, out Vector3 pushBackVector)
	Determines if a sphere intersects with a capsule More...

static bool	IntersectTriangleOOBBox (Vector3 point0Seg, Vector3 point1Seg, Vector3 point2Seg, Matrix4x4 matrixBox, Vector3 minBox, Vector3 maxBox)
	Determines if a triangle intersects with an OOBB box More...

Detailed Description

Class of static functions to help with intersection calculations

Member Function Documentation

◆ ClosestPointsLineToLine()

static bool IntersectionHelper.ClosestPointsLineToLine	(	Vector3	p1,
		Vector3	p2,
		Vector3	p3,
		Vector3	p4,
		out Vector3	pa,
		out Vector3	pb
	)

static

Gets the closest point between two infinite lines.

Parameters

p1	A point on the first line
p2	Another point on the first line
p3	A point on the second line
p4	Another point on the second line
pa	The closest point (on the first line) between the two lines
pb	The closest point (on the second line) between the two lines

Returns: Returns true if the operation is successful. It may fail if the points do not form a line (ie they are equal)

◆ DistanceLineLine()

static float IntersectionHelper.DistanceLineLine	(	Vector3	lineAPoint,
		Vector3	lineADirection,
		Vector3	lineBPoint,
		Vector3	lineBDirection
	)

static

Gets the shortest distance between two infinite lines.

Parameters

lineAPoint	A point that the first line passes through
lineADirection	The normalized direction vector of the first line
lineBPoint	A point that the second line passes through
lineBDirection	The normalized direction vector of the second line.

Returns: Returns the shortest distance between the two lines.

◆ GetPlaneFromTriangle()

static bool IntersectionHelper.GetPlaneFromTriangle	(	Vector3	t0,
		Vector3	t1,
		Vector3	t2,
		out Vector3	outPlanePoint,
		out Vector3	outPlaneNormal
	)

static

Gets a point and normal direction representing the plane containing a given triangle.

Parameters

t0	The first point of the triangle
t1	The second point of the triangle
t2	The third point of the triangle
outPlanePoint	[output] A point on the plane
outPlaneNormal	[output] The direction of the normal of the plane

Returns: Returns true if the operation was successful. It may fail if the input points do not form a triangle.

◆ IntersectAABBoxWithOOBBox()

static bool IntersectionHelper.IntersectAABBoxWithOOBBox	(	Vector3	minA,
		Vector3	maxA,
		Matrix4x4	matrixB,
		Vector3	minB,
		Vector3	maxB
	)

static

Determines if an AABB box intersects with an OOBB box.

Parameters

minA	The minimum extents of the AABB box
maxA	The maximum extents of the AABB box
matrixB	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
minB	The minimum extents (in local space) of the OOBB box
maxB	The maximum extents (in local space) of the OOBB box

Returns: Returns true the AABB box intersects with the OOBB box

◆ IntersectCapsuleWithCapsule() [1/2]

static bool IntersectionHelper.IntersectCapsuleWithCapsule	(	Vector3	capsule0Point0,
		Vector3	capsule0Point1,
		float	capsule0Radius,
		Vector3	capsule1Point0,
		Vector3	capsule1Point1,
		float	capsule1Radius
	)

static

Determines if a capsule intersects with another capsule

Parameters

capsule0Point0	The base point of the first capsule
capsule0Point1	The end point of the first capsule
capsule0Radius	The radius of the first capsule
capsule1Point0	The base point of the second capsule
capsule1Point1	The end point of the second capsule
capsule1Radius	The radius of the second capsule

Returns: Returns true if the two capsules intersect

◆ IntersectCapsuleWithCapsule() [2/2]

static bool IntersectionHelper.IntersectCapsuleWithCapsule	(	Vector3	capsule0Point0,
		Vector3	capsule0Point1,
		float	capsule0Radius,
		Vector3	capsule1Point0,
		Vector3	capsule1Point1,
		float	capsule1Radius,
		out Vector3	collisionPointOnCapsule1,
		out Vector3	pushBackVector
	)

static

Determines if a capsule intersects with another capsule, returning the intersection point on the outer surface of capsule1 and the pushback vector to separate capsule1 away from capsule0

Parameters

capsule0Point0	The base point of the first capsule
capsule0Point1	The end point of the first capsule
capsule0Radius	The radius of the first capsule
capsule1Point0	The base point of the second capsule
capsule1Point1	The end point of the second capsule
capsule1Radius	The radius of the second capsule
collisionPointOnCapsule1	[output] The collision point on the outer surface of the second capsule, if the two capsules intersect
pushBackVector	[output] The pushback vector that needs to be applied on the second capsule to separate the capsules.

Returns: Returns true if the two capsules intersect

◆ IntersectInfinitePlaneWithInfinitePlane()

static bool IntersectionHelper.IntersectInfinitePlaneWithInfinitePlane	(	Vector3	planeNormal0,
		Vector3	planePoint0,
		Vector3	planeNormal1,
		Vector3	planePoint1,
		out Vector3	linePoint,
		out Vector3	lineDirection
	)

static

Determines if two planes intersect. If yes, it also returns the line that intersects the two planes.

Parameters

planeNormal0	The normal direction of the first plane
planePoint0	A point on the first plane
planeNormal1	The normal direction of the second plane
planePoint1	A point on the second plane
linePoint	[output] A point on the line that intersects the two planes
lineDirection	[output] The direction vector of the line that intersects the two planes

Returns: Returns true if the two planes intersect

◆ IntersectLineWithCapsule()

static int IntersectionHelper.IntersectLineWithCapsule	(	Vector3	pointOnLine,
		Vector3	lineDirection,
		Vector3	capsuleOrigin,
		Vector3	capsuleDirection,
		float	capsuleRadius,
		out float []	afT
	)

static

Determines if an infinite line intersects a capsule

Parameters

pointOnLine	A point on the line
lineDirection	The normalised direction vector of the line
capsuleOrigin	The origin of the capsule
capsuleDirection	The direction vector of the capsule, multiplied by the length of the capsule
capsuleRadius	The radius of the capsule
afT	[output] Array (size 2) of t-values of the line that represent the intersection points

Returns: Returns the number of intersection points between the line and the capsule

◆ IntersectLineWithInfinitePlane()

static bool IntersectionHelper.IntersectLineWithInfinitePlane	(	Vector3	linePoint,
		Vector3	lineDir,
		Vector3	planePoint,
		Vector3	planeDir,
		out Vector3	intersectionPoint
	)

static

Determines if a line intersects with a plane, and if yes, also returns the intersection point.

Parameters

linePoint	A point on the line
lineDir	The normalised direction vector of the line
planePoint	A point on the plane
planeDir	The normal of the plane
intersectionPoint	[output] The intersection point between the line and the plane

Returns: Returns true if the line intersects the plane

◆ IntersectLineWithLine()

static bool IntersectionHelper.IntersectLineWithLine	(	Vector3	line0Point,
		Vector3	line0Vec,
		Vector3	line1Point,
		Vector3	line1Vec,
		out Vector3	intersectionPoint
	)

static

Determines if two infinite lines intersect each other

Parameters

line0Point	A point on the first line
line0Vec	The normalised direction vector of the first line
line1Point	A point on the second line
line1Vec	The normalised direction vector of the second line
intersectionPoint	[output] The intersection point of the two lines

Returns: Returns true if the lines intersect each other

◆ IntersectLineWithTriangle()

static bool IntersectionHelper.IntersectLineWithTriangle	(	Vector3	linePoint,
		Vector3	lineDir,
		Vector3	t0,
		Vector3	t1,
		Vector3	t2,
		out Vector3	outContact
	)

static

Determines if a infinite line intersects with a triangle, and if yes, also returns the intersection point.

Parameters

linePoint	A point on the line
lineDir	The normalised direction vector of the line
t0	The first point of the triangle
t1	The second point of the triangle
t2	The third point of the triangle
outContact	[output] The intersection point of the line and the triangle

Returns: Returns true if the line intersects the triangle

◆ IntersectOOBBoxWithOOBBox()

static bool IntersectionHelper.IntersectOOBBoxWithOOBBox	(	Matrix4x4	matrixA,
		Vector3	minA,
		Vector3	maxA,
		Matrix4x4	matrixB,
		Vector3	minB,
		Vector3	maxB
	)

static

Determines if an OOBB box intersects another OOBB box

Parameters

matrixA	The matrix representing the position, rotation and scale of the first OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
minA	The minimum extents (in local space) of the first OOBB box
maxA	The maximum extents (in local space) of the first OOBB box
matrixB	The matrix representing the position, rotation and scale of the second OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
minB	The minimum extents (in local space) of the second OOBB box
maxB	The maximum extents (in local space) of the second OOBB box

Returns: Returns true if the boxes intersect each other

◆ IntersectPointWithAABBox()

static bool IntersectionHelper.IntersectPointWithAABBox	(	Vector3	point,
		Vector3	minA,
		Vector3	maxA
	)

static

Determines if a point lies inside an AABB box

Parameters

point	The coordinates of the point
minA	The minimum extents of the AABB box
maxA	The maximum extents of the AABB box

Returns: Returns true if the point lies inside the box

◆ IntersectPointWithCapsule()

static bool IntersectionHelper.IntersectPointWithCapsule	(	Vector3	point,
		Vector3	capsulePoint0,
		Vector3	capsulePoint1,
		float	capsuleRadius
	)

static

Determines if a point lies inside a capsule

Parameters

point	The coordinates of the point
capsulePoint0	The coordinates of the base of the capsule
capsulePoint1	The coordinates of the end of the capsule
capsuleRadius	The radius of the capsule

Returns: Returns true if the point lies inside the capsule

◆ IntersectPointWithOOBBox()

static bool IntersectionHelper.IntersectPointWithOOBBox	(	Vector3	point,
		Matrix4x4	matrix,
		Vector3	min,
		Vector3	max
	)

static

Determines if a point lies inside an OOBB box

Parameters

point	The coordinates of the point
matrix	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
min	The minimum extents (in local space) of the OOBB box
max	The maximum extents (in local space) of the OOBB box

Returns: Returns true if the point lies inside the box

◆ IntersectPointWithSphere()

static bool IntersectionHelper.IntersectPointWithSphere	(	Vector3	point,
		Vector3	center,
		float	radius
	)

static

Determines if a point lies inside a sphere

Parameters

point	The coordinates of the point
center	The coordinates of the center of the sphere
radius	The radius of the sphere

Returns: Returns true if the point lies inside the sphere

◆ IntersectPointWithTube()

static bool IntersectionHelper.IntersectPointWithTube	(	Vector3	point,
		Vector3	tubeStart,
		Vector3	tubeEnd,
		float	radiusStart,
		float	radiusEnd
	)

static

Determines if a point lies inside a tube

Parameters

point	The coordinates of the point
tubeStart	The first end of the tube
tubeEnd	The other end of the tube
radiusStart	The radius of the tube at the first end
radiusEnd	The radius of the tube at the other end

Returns: Returns true if the point lies inside the tube

◆ IntersectRayAABBox()

static bool IntersectionHelper.IntersectRayAABBox	(	Vector3	originRay,
		Vector3	dirRay,
		Vector3	minBox,
		Vector3	maxBox,
		out Vector3	coord
	)

static

Determines if a ray starting from a given point intersects with an AABB box

Parameters

originRay	The origin of the ray
dirRay	The normalised direction vector of the ray
minBox	The minimum extents of the AABB box
maxBox	The maximum extents of the AABB box
coord	[output] The coordinates of the intersection point

Returns: Returns true if the ray intersects the AABB box

◆ IntersectRayOOBBox()

static bool IntersectionHelper.IntersectRayOOBBox	(	Vector3	originRay,
		Vector3	dirRay,
		Matrix4x4	matrixBox,
		Vector3	minBox,
		Vector3	maxBox,
		out Vector3	coord
	)

static

Determines if a ray starting from a given point intersects with an OOBB box

Parameters

originRay	The origin of the ray
dirRay	The normalised direction vector of the ray
matrixBox	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
minBox	The minimum extents (in local space) of the OOBB box
maxBox	The maximum extents (in local space) of the OOBB box
coord	[output] The coordinates of the intersection point

Returns: Returns true if the ray intersects the OOBB box

◆ IntersectRayWithCylinder()

static bool IntersectionHelper.IntersectRayWithCylinder	(	Vector3	rayOrigin,
		Vector3	ray,
		Vector3	cylinderBasis,
		Vector3	cylinderAxis,
		float	radius,
		float	height,
		out float	dist,
		out Vector3	hitPoint,
		out float	distOnCylinder
	)

static

Determines if a ray starting from a given point intersects with a cylinder

Parameters

rayOrigin	The origin of the ray
ray	The normalised direction vector of the ray
cylinderBasis	The coordinates of the base of the cylinder
cylinderAxis	The direction vector of the axis of the cylinder
radius	The radius of the cylinder
height	The height of the cylinder
dist	[output] The distance of the intersection point from the start of the ray
hitPoint	[output] The coordinates of the intersection point
distOnCylinder	[output] The distance of the intersection point along the cylinder

Returns: Returns true if the ray intersects the cylinder

◆ IntersectSegmentAABBox()

static bool IntersectionHelper.IntersectSegmentAABBox	(	Vector3	point0Seg,
		Vector3	point1Seg,
		Vector3	minBox,
		Vector3	maxBox,
		out Vector3	coord0,
		out Vector3	coord1
	)

static

Determines if a finite segment intersects an AABB box

Parameters

point0Seg	The start of the segment
point1Seg	The end of the segment
minBox	The minimum extents of the AABB box
maxBox	The maximum extents of the AABB box
coord0	[output] The first intersection point
coord1	[output] The second intersection point

Returns: Returns true if the segment intersects the AABB box

◆ IntersectSegmentWithCapsule() [1/2]

static int IntersectionHelper.IntersectSegmentWithCapsule	(	Vector3	segmentPoint,
		Vector3	segmentDirection,
		Vector3	capsuleOrigin,
		Vector3	capsuleDirection,
		float	capsuleRadius,
		out Vector3 []	intersectionPoints
	)

static

Determines if a finite segment intersects with a capsule

Parameters

segmentPoint	The start of the segment
segmentDirection	The direction vector of the segment, multiplied by it's length
capsuleOrigin	The coordinates of the origin of the capsule
capsuleDirection	The direction vector of the axis of the capsule
capsuleRadius	The radius of the capsule
intersectionPoints	[output] The intersection points between the segment and the capsule

Returns: Returns the number of intersection points between the segment and the capsule

◆ IntersectSegmentWithCapsule() [2/2]

static bool IntersectionHelper.IntersectSegmentWithCapsule	(	Vector3	segmentPoint0,
		Vector3	segmentPoint1,
		Vector3	capsulePoint0,
		Vector3	capsulePoint1,
		float	capsuleRadius
	)

static

Determines if a finite segment intersects with a capsule

Parameters

segmentPoint0	The start of the segment
segmentPoint1	The end of the segment
capsulePoint0	The coordinates of the base of the capsule
capsulePoint1	The coordinates of the end of the capsule
capsuleRadius	The radius of the capsule

Returns: Returns true if the segment intersects the capsule.

◆ IntersectSegmentWithInfinitePlane()

static bool IntersectionHelper.IntersectSegmentWithInfinitePlane	(	Vector3	p0,
		Vector3	p1,
		Vector3	planeOrigin,
		Vector3	planeNormal,
		out Vector3	outContact
	)

static

Determines if a finite segment intersects with a plane

Parameters

p0	The start of the segment
p1	The end of the segment
planeOrigin	A point on the plane
planeNormal	The normal direction vector of the plane
outContact	[output] the intersection point of the segment with the plane

Returns: Returns true if the segment intersects the plane.

◆ IntersectSegmentWithOOBBox() [1/2]

static bool IntersectionHelper.IntersectSegmentWithOOBBox	(	Vector3	segPoint0,
		Vector3	segPoint1,
		Matrix4x4	boxMatrix,
		Vector3	boxMin,
		Vector3	boxMax
	)

static

Determines if a finite segment intersects with an OOBB box

Parameters

segPoint0	The start of the segment
segPoint1	The end of the segment
boxMatrix	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
boxMin	The minimum extents (in local space) of the OOBB box
boxMax	The maximum extents (in local space) of the OOBB box

Returns: Returns true if the segment intersects with the OOBB box

◆ IntersectSegmentWithOOBBox() [2/2]

static bool IntersectionHelper.IntersectSegmentWithOOBBox	(	Vector3	point0Seg,
		Vector3	point1Seg,
		Matrix4x4	matrixBox,
		Vector3	minBox,
		Vector3	maxBox,
		out Vector3	coord0,
		out Vector3	coord1
	)

static

Determines if a finite segment intersects with an OOBB box, returning the intersection points

Parameters

point0Seg	The start of the segment
point1Seg	The end of the segment
matrixBox	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
minBox	The minimum extents (in local space) of the OOBB box
maxBox	The maximum extents (in local space) of the OOBB box
coord0	[output] The first intersection point
coord1	[output] The second intersection point

Returns: Returns true if the segment intersects the OOBB box

◆ IntersectSegmentWithSegment()

static bool IntersectionHelper.IntersectSegmentWithSegment	(	Vector3	segAPoint0,
		Vector3	segAPoint1,
		Vector3	segBPoint0,
		Vector3	segBPoint1,
		out Vector3	intersectionPoint,
		out float	sFactor,
		out float	tFactor
	)

static

Determines if two finite segments intersect

Parameters

segAPoint0	The start of the first segment
segAPoint1	The end of the first segment
segBPoint0	The start of the second segment
segBPoint1	A end on the second plane
sFactor	[output] The ratio of the intersection point along the first segment
tFactor	[output] The ratio of the intersection point along the second segment
intersectionPoint	[output] The intersection point of the two segments

Returns: Returns true if the two segments intersect

◆ IntersectSegmentWithSphere()

static bool IntersectionHelper.IntersectSegmentWithSphere	(	Vector3	segPoint0,
		Vector3	segPoint1,
		Vector3	sphereCenter,
		float	sphereRadius
	)

static

Determines if a finite segment intersects a sphere

Parameters

segPoint0	The start of the segment
segPoint1	The end of the segment
sphereCenter	The point at the center of the sphere
sphereRadius	The radius of the sphere

Returns: Returns true if the segment intersects the sphere

◆ IntersectSegmentWithTriangle()

static bool IntersectionHelper.IntersectSegmentWithTriangle	(	Vector3	p0,
		Vector3	p1,
		Vector3	t0,
		Vector3	t1,
		Vector3	t2,
		out Vector3	outContact
	)

static

Determines if a finite segment intersects with a triangle

Parameters

p0	The start of the segment
p1	The end of the segment
t0	The first point of the triangle
t1	The second point of the triangle
t2	The third point of the triangle
outContact	[output] the intersection point of the segment with the triangle

Returns: Returns true if the segment intersects the triangle.

◆ IntersectSphereWithAABBox()

static bool IntersectionHelper.IntersectSphereWithAABBox	(	Vector3	center,
		float	radius,
		Vector3	min,
		Vector3	max
	)

static

Determines if a sphere intersects with an AABB box

Parameters

center	The point at the center of the sphere
radius	The radius of the sphere
min	The minimum extents of the AABB box
max	The maximum extents of the AABB box

Returns: Returns true if the sphere intersects the AABB box

◆ IntersectSphereWithCapsule()

static bool IntersectionHelper.IntersectSphereWithCapsule	(	Vector3	sphereCenter,
		float	sphereRadius,
		Vector3	capsulePoint0,
		Vector3	capsulePoint1,
		float	capsuleRadius,
		out Vector3	pushBackVector
	)

static

Determines if a sphere intersects with a capsule

Parameters

sphereCenter	The point at the center of the sphere
sphereRadius	The radius of the sphere
capsulePoint0	The base of the capsule
capsulePoint1	The end of the capsule
capsuleRadius	The radius of the capsule
pushBackVector	[output] The pushback vector to separate the sphere from the capsule

Returns: Returns true if the sphere intersects the capsule

◆ IntersectSphereWithOOBBox()

static bool IntersectionHelper.IntersectSphereWithOOBBox	(	Vector3	center,
		float	radius,
		Matrix4x4	matrix,
		Vector3	min,
		Vector3	max
	)

static

Determines if a sphere intersects with an OOBB box

Parameters

center	The point at the center of the sphere
radius	The radius of the sphere
matrix	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
min	The minimum extents (in local space) of the OOBB box
max	The maximum extents (in local space) of the OOBB box

Returns: Returns true if the sphere intersects the OOBB box

◆ IntersectTriangleOOBBox()

static bool IntersectionHelper.IntersectTriangleOOBBox	(	Vector3	point0Seg,
		Vector3	point1Seg,
		Vector3	point2Seg,
		Matrix4x4	matrixBox,
		Vector3	minBox,
		Vector3	maxBox
	)

static

Determines if a triangle intersects with an OOBB box

Parameters

point0Seg	The first point of the triangle
point1Seg	The second point of the triangle
point2Seg	The third point of the triangle
matrixBox	The matrix representing the position, rotation and scale of the OOBB box. This matrix would be equivalent to Matrix4x4.TRS(positionVector, rotationQuat, scaleVector)
minBox	The minimum extents (in local space) of the OOBB box
maxBox	The maximum extents (in local space) of the OOBB box

Returns: Returns true if the triangle intersects the OOBB box

◆ IsPointInTriangle()

static bool IntersectionHelper.IsPointInTriangle	(	Vector3	p0,
		Vector3	p1,
		Vector3	p2,
		Vector3	point
	)

static

Checks if a point lies inside a triangle

Parameters

p0	The first point of the triangle
p1	The second point of the triangle
p2	The third point of the triangle
point	The position of the desired point.

Returns: Returns true if the point lies inside the triangle

◆ PointSegmentProjection()

static Vector3 IntersectionHelper.PointSegmentProjection	(	Vector3	point,
		Vector3	segPoint0,
		Vector3	segPoint1
	)

static

Gets the projection of a point on a finite line segment.

Parameters

point	The input point
segPoint0	The start of the line segment
segPoint1	The end of the line segment

Returns: Returns the projected point on the segment

◆ SqrDistancePointTriangle()

static float IntersectionHelper.SqrDistancePointTriangle	(	Vector3	point,
		Vector3	triangle0,
		Vector3	triangle1,
		Vector3	triangle2,
		out Vector3	closestPoint
	)

static

Gets the square of shortest distance between a point and a triangle in 3D space.

Parameters

point	The position of the desired point.
triangle0	The first point of the triangle
triangle1	The second point of the triangle
triangle2	The third point of the triangle
closestPoint	[output] The closest point (on the plane) to the input point.

Returns: Returns the square of shortest distance between the plane and the input point.

◆ SqrDistanceSegmentToSegment()

static float IntersectionHelper.SqrDistanceSegmentToSegment	(	Vector3	segment0Point0,
		Vector3	segment0Point1,
		Vector3	segment1Point0,
		Vector3	segment1Point1,
		out float	closestPoint0,
		out float	closestPoint1
	)

static

Gets the square of shortest distance between two finite line segments.

Parameters

segment0Point0	The start position of the first segment
segment0Point1	The end position of the first segment
segment1Point0	The start position of the second segment
segment1Point1	The end position of the second segment
closestPoint0	[output] The ratio (along the first segment) of the closest point.
closestPoint1	The ratio (along the second segment) of the closest point.

Returns: Returns the square of shortest distance between the two segments.

The documentation for this class was generated from the following file:

ProjectileHelperProject/Assets/IntersectionHelper/Library/IntersectionHelper.cs

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ ClosestPointsLineToLine()

◆ DistanceLineLine()

◆ GetPlaneFromTriangle()

◆ IntersectAABBoxWithOOBBox()

◆ IntersectCapsuleWithCapsule() [1/2]

◆ IntersectCapsuleWithCapsule() [2/2]

◆ IntersectInfinitePlaneWithInfinitePlane()

◆ IntersectLineWithCapsule()

◆ IntersectLineWithInfinitePlane()

◆ IntersectLineWithLine()

◆ IntersectLineWithTriangle()

◆ IntersectOOBBoxWithOOBBox()

◆ IntersectPointWithAABBox()

◆ IntersectPointWithCapsule()

◆ IntersectPointWithOOBBox()

◆ IntersectPointWithSphere()

◆ IntersectPointWithTube()

◆ IntersectRayAABBox()

◆ IntersectRayOOBBox()

◆ IntersectRayWithCylinder()

◆ IntersectSegmentAABBox()

◆ IntersectSegmentWithCapsule() [1/2]

◆ IntersectSegmentWithCapsule() [2/2]

◆ IntersectSegmentWithInfinitePlane()

◆ IntersectSegmentWithOOBBox() [1/2]

◆ IntersectSegmentWithOOBBox() [2/2]

◆ IntersectSegmentWithSegment()

◆ IntersectSegmentWithSphere()

◆ IntersectSegmentWithTriangle()

◆ IntersectSphereWithAABBox()

◆ IntersectSphereWithCapsule()

◆ IntersectSphereWithOOBBox()

◆ IntersectTriangleOOBBox()

◆ IsPointInTriangle()

◆ PointSegmentProjection()

◆ SqrDistancePointTriangle()

◆ SqrDistanceSegmentToSegment()