SUNENGINEMathTools Class Reference

Provides mathematical tools for collision detection and vector operations. More...

#include <SUNENGINEMathTools.h>

Static Public Member Functions
static const bool	Intersect (const CollisionVolume &vol1, const CollisionVolume &vol2)
	Checks for collision between two generic collision volumes.
static const bool	BSphereToBSphereCollision (const CollisionVolumeBSphere &sphere1, const CollisionVolumeBSphere &sphere2)
	Checks for collision between two bounding spheres.
static const bool	AABBToAABBCollision (const CollisionVolumeAABB &aabb1, const CollisionVolumeAABB &aabb2)
	Checks for collision between a bounding sphere and an axis-aligned bounding box (AABB).
static const bool	AABBToBSphereCollision (const CollisionVolumeAABB &aabb, const CollisionVolumeBSphere &sphere)
	Checks for collision between an AABB and a bounding sphere.
static const bool	OBBToOBBCollision (const CollisionVolumeOBB &obb1, const CollisionVolumeOBB &obb2)
	Checks for collision between two oriented bounding boxes (OBB).
static const bool	OBBToBSphereCollision (const CollisionVolumeOBB &obb, const CollisionVolumeBSphere &sphere)
	Checks for collision between an OBB and a bounding sphere.
static const bool	OBBToAABBCollision (const CollisionVolumeOBB &obb, const CollisionVolumeAABB &aabb)
	Checks for collision between an OBB and an AABB.
static const Vect	Project (const Vect &v, const Vect &onto)
	Projects a vector onto another vector.
static float	ComputeOBBProjection (const CollisionVolumeOBB &obb, const Vect &axis)
	Computes the projection of an OBB onto a given axis.
static Vect	ClampPointToAABB (const Vect &point, const Vect &min, const Vect &max)
	Clamps a point to the bounds of an AABB.
static bool	IsAxisSeparated (const Vect &axis, const Vect &centerDiff, const CollisionVolumeOBB &obb1, const CollisionVolumeOBB &obb2)
	Checks if two OBBs are separated along a given axis.
static void	ComputeOBBWorldData (const Vect &minM, const Vect &maxM, const Matrix &mat, Vect &outCenter, Vect &outHalfDiagonal, Matrix &outWorldMatrix)
	Computes the world-space center, half-diagonal, and world matrix for an OBB.
static void	EncloseAABBs (const Vect &min1, const Vect &max1, const Vect &min2, const Vect &max2, Vect &outMin, Vect &outMax)
	Computes the local-space center and half-diagonal for an OBB.
static bool	IsPointInTriangle (const Vect &p, const Vect &a, const Vect &b, const Vect &c)
static Vect	GetHeightAndNormal (const Vect &p, const Vect &a, const Vect &b, const Vect &c, Vect &normal)

Detailed Description

Provides mathematical tools for collision detection and vector operations.

The SUNENGINEMathTools class provides static utility methods for collision detection between various collision volumes (bounding spheres, AABBs, OBBs) and for performing vector operations such as projection and clamping. These methods are used throughout the engine for physics, collision, and spatial queries.

Example usage:

bool collides = SUNENGINEMathTools::AABBToAABBCollision(aabb1, aabb2);
Vect projected = SUNENGINEMathTools::Project(v, onto);

See also

CollisionVolume, CollisionVolumeBSphere, CollisionVolumeAABB, CollisionVolumeOBB, Vect

Member Function Documentation

AABBToAABBCollision()

const bool SUNENGINEMathTools::AABBToAABBCollision ( const CollisionVolumeAABB & aabb1, const CollisionVolumeAABB & aabb2 )

static

Checks for collision between a bounding sphere and an axis-aligned bounding box (AABB).

Parameters

sphere	The bounding sphere.
aabb	The axis-aligned bounding box.

Returns

True if the sphere and AABB collide, false otherwise.

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AABBToBSphereCollision()

const bool SUNENGINEMathTools::AABBToBSphereCollision ( const CollisionVolumeAABB & aabb, const CollisionVolumeBSphere & sphere )

static

Checks for collision between an AABB and a bounding sphere.

Parameters

aabb	The axis-aligned bounding box.
sphere	The bounding sphere.

Returns

True if the AABB and sphere collide, false otherwise.

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BSphereToBSphereCollision()

const bool SUNENGINEMathTools::BSphereToBSphereCollision ( const CollisionVolumeBSphere & sphere1, const CollisionVolumeBSphere & sphere2 )

static

Checks for collision between two bounding spheres.

Parameters

sphere1	The first bounding sphere.
sphere2	The second bounding sphere.

Returns

True if the spheres collide, false otherwise.

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ClampPointToAABB()

Vect SUNENGINEMathTools::ClampPointToAABB ( const Vect & point, const Vect & min, const Vect & max )

static

Clamps a point to the bounds of an AABB.

Parameters

point	The point to clamp.
min	The minimum corner of the AABB.
max	The maximum corner of the AABB.

Returns

The clamped point.

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ComputeOBBProjection()

float SUNENGINEMathTools::ComputeOBBProjection ( const CollisionVolumeOBB & obb, const Vect & axis )

static

Computes the projection of an OBB onto a given axis.

Parameters

obb	The oriented bounding box.
axis	The axis to project onto.

Returns

The scalar projection length.

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ComputeOBBWorldData()

void SUNENGINEMathTools::ComputeOBBWorldData ( const Vect & minM, const Vect & maxM, const Matrix & mat, Vect & outCenter, Vect & outHalfDiagonal, Matrix & outWorldMatrix )

static

Computes the world-space center, half-diagonal, and world matrix for an OBB.

Parameters

minM	The minimum point of the model's AABB in model space.
maxM	The maximum point of the model's AABB in model space.
mat	The world transformation matrix.
outCenter	Output: OBB center in world space.
outHalfDiagonal	Output: OBB half-diagonal in world space.
outWorldMatrix	Output: OBB world matrix (orientation + translation).

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EncloseAABBs()

void SUNENGINEMathTools::EncloseAABBs ( const Vect & min1, const Vect & max1, const Vect & min2, const Vect & max2, Vect & outMin, Vect & outMax )

static

Computes the local-space center and half-diagonal for an OBB.

Parameters

minM	The minimum point of the model's AABB in model space.
maxM	The maximum point of the model's AABB in model space.
outCenter	Output: OBB center in local space.
outHalfDiagonal	Output: OBB half-diagonal in local space.

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Intersect()

const bool SUNENGINEMathTools::Intersect ( const CollisionVolume & vol1, const CollisionVolume & vol2 )

static

Checks for collision between two generic collision volumes.

Parameters

vol1	The first collision volume.
vol2	The second collision volume.

Returns

True if the volumes collide, false otherwise.

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IsAxisSeparated()

bool SUNENGINEMathTools::IsAxisSeparated ( const Vect & axis, const Vect & centerDiff, const CollisionVolumeOBB & obb1, const CollisionVolumeOBB & obb2 )

static

Checks if two OBBs are separated along a given axis.

Parameters

axis	The axis to test.
centerDiff	The vector between the centers of the OBBs.
obb1	The first OBB.
obb2	The second OBB.

Returns

True if the OBBs are separated along the axis, false otherwise.

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OBBToAABBCollision()

const bool SUNENGINEMathTools::OBBToAABBCollision ( const CollisionVolumeOBB & obb, const CollisionVolumeAABB & aabb )

static

Checks for collision between an OBB and an AABB.

Parameters

obb	The oriented bounding box.
aabb	The axis-aligned bounding box.

Returns

True if the OBB and AABB collide, false otherwise.

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OBBToBSphereCollision()

const bool SUNENGINEMathTools::OBBToBSphereCollision ( const CollisionVolumeOBB & obb, const CollisionVolumeBSphere & sphere )

static

Checks for collision between an OBB and a bounding sphere.

Parameters

obb	The oriented bounding box.
sphere	The bounding sphere.

Returns

True if the OBB and sphere collide, false otherwise.

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OBBToOBBCollision()

const bool SUNENGINEMathTools::OBBToOBBCollision ( const CollisionVolumeOBB & obb1, const CollisionVolumeOBB & obb2 )

static

Checks for collision between two oriented bounding boxes (OBB).

Parameters

obb1	The first OBB.
obb2	The second OBB.

Returns

True if the OBBs collide, false otherwise.

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Project()

const Vect SUNENGINEMathTools::Project ( const Vect & v, const Vect & onto )

static

Projects a vector onto another vector.

Parameters

v	The vector to be projected.
onto	The vector onto which v is projected.

Returns

The projection of v onto onto.

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

• SUNENGINEMathTools.h
• SUNENGINEMathTools.cpp