Ogre::Math Class Reference

Class to provide access to common mathematical functions. More...

#include <OgreMath.h>

List of all members.

Public Types

enum AngleUnit { AU_DEGREE, AU_RADIAN }

The angular units used by the API. More...

Public Member Functions

Math (unsigned int trigTableSize=4096)

Default constructor.

~Math ()

Default destructor.

Static Public Member Functions

int IAbs (int iValue)

int ICeil (float fValue)

int IFloor (float fValue)

int ISign (int iValue)

Real Abs (Real fValue)

Degree Abs (const Degree &dValue)

Radian Abs (const Radian &rValue)

Radian ACos (Real fValue)

Radian ASin (Real fValue)

Radian ATan (Real fValue)

Radian ATan2 (Real fY, Real fX)

Real Ceil (Real fValue)

Real Cos (const Radian &fValue, bool useTables=false)

Cosine function.

Real Cos (Real fValue, bool useTables=false)

Cosine function.

Real Exp (Real fValue)

Real Floor (Real fValue)

Real Log (Real fValue)

Real Pow (Real fBase, Real fExponent)

Real Sign (Real fValue)

Radian Sign (const Radian &rValue)

Degree Sign (const Degree &dValue)

Real Sin (const Radian &fValue, bool useTables=false)

Sine function.

Real Sin (Real fValue, bool useTables=false)

Sine function.

Real Sqr (Real fValue)

Real Sqrt (Real fValue)

Radian Sqrt (const Radian &fValue)

Degree Sqrt (const Degree &fValue)

Real InvSqrt (Real fValue)

Inverse square root i.e.

Real UnitRandom ()

Real RangeRandom (Real fLow, Real fHigh)

Real SymmetricRandom ()

Real Tan (const Radian &fValue, bool useTables=false)

Tangent function.

Real Tan (Real fValue, bool useTables=false)

Tangent function.

Real DegreesToRadians (Real degrees)

Real RadiansToDegrees (Real radians)

void setAngleUnit (AngleUnit unit)

These functions used to set the assumed angle units (radians or degrees) expected when using the Angle type.

AngleUnit getAngleUnit (void)

Get the unit being used for angles.

Real AngleUnitsToRadians (Real units)

Convert from the current AngleUnit to radians.

Real RadiansToAngleUnits (Real radians)

Convert from radians to the current AngleUnit .

Real AngleUnitsToDegrees (Real units)

Convert from the current AngleUnit to degrees.

Real DegreesToAngleUnits (Real degrees)

Convert from degrees to the current AngleUnit.

bool pointInTri2D (const Vector2 &p, const Vector2 &a, const Vector2 &b, const Vector2 &c)

Checks whether a given point is inside a triangle, in a 2-dimensional (Cartesian) space.

bool pointInTri3D (const Vector3 &p, const Vector3 &a, const Vector3 &b, const Vector3 &c, const Vector3 &normal)

Checks whether a given 3D point is inside a triangle.

std::pair< bool, Real > intersects (const Ray &ray, const Plane &plane)

Ray / plane intersection, returns boolean result and distance.

std::pair< bool, Real > intersects (const Ray &ray, const Sphere &sphere, bool discardInside=true)

Ray / sphere intersection, returns boolean result and distance.

std::pair< bool, Real > intersects (const Ray &ray, const AxisAlignedBox &box)

Ray / box intersection, returns boolean result and distance.

bool intersects (const Ray &ray, const AxisAlignedBox &box, Real *d1, Real *d2)

Ray / box intersection, returns boolean result and two intersection distance.

std::pair< bool, Real > intersects (const Ray &ray, const Vector3 &a, const Vector3 &b, const Vector3 &c, const Vector3 &normal, bool positiveSide=true, bool negativeSide=true)

Ray / triangle intersection, returns boolean result and distance.

std::pair< bool, Real > intersects (const Ray &ray, const Vector3 &a, const Vector3 &b, const Vector3 &c, bool positiveSide=true, bool negativeSide=true)

Ray / triangle intersection, returns boolean result and distance.

bool intersects (const Sphere &sphere, const AxisAlignedBox &box)

Sphere / box intersection test.

bool intersects (const Plane &plane, const AxisAlignedBox &box)

Plane / box intersection test.

std::pair< bool, Real > intersects (const Ray &ray, const std::vector< Plane > &planeList, bool normalIsOutside)

Ray / convex plane list intersection test.

std::pair< bool, Real > intersects (const Ray &ray, const std::list< Plane > &planeList, bool normalIsOutside)

Ray / convex plane list intersection test.

bool intersects (const Sphere &sphere, const Plane &plane)

Sphere / plane intersection test.

bool RealEqual (Real a, Real b, Real tolerance=std::numeric_limits< Real >::epsilon())

Compare 2 reals, using tolerance for inaccuracies.

Vector3 calculateTangentSpaceVector (const Vector3 &position1, const Vector3 &position2, const Vector3 &position3, Real u1, Real v1, Real u2, Real v2, Real u3, Real v3)

Calculates the tangent space vector for a given set of positions / texture coords.

Matrix4 buildReflectionMatrix (const Plane &p)

Build a reflection matrix for the passed in plane.

Vector4 calculateFaceNormal (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)

Calculate a face normal, including the w component which is the offset from the origin.

Vector3 calculateBasicFaceNormal (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)

Calculate a face normal, no w-information.

Vector4 calculateFaceNormalWithoutNormalize (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)

Calculate a face normal without normalize, including the w component which is the offset from the origin.

Vector3 calculateBasicFaceNormalWithoutNormalize (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)

Calculate a face normal without normalize, no w-information.

Static Public Attributes

const Real POS_INFINITY

const Real NEG_INFINITY

const Real PI

const Real TWO_PI

const Real HALF_PI

const Real fDeg2Rad

const Real fRad2Deg

Protected Member Functions

void buildTrigTables ()

Private function to build trig tables.

Static Protected Member Functions

Real SinTable (Real fValue)

Real TanTable (Real fValue)

Static Protected Attributes

AngleUnit msAngleUnit

int mTrigTableSize

Size of the trig tables as determined by constructor.

Real mTrigTableFactor

Radian -> index factor value ( mTrigTableSize / 2 * PI ).

Real * mSinTable

Real * mTanTable

Detailed Description

Class to provide access to common mathematical functions.

Remarks:: Most of the maths functions are aliased versions of the C runtime library functions. They are aliased here to provide future optimisation opportunities, either from faster RTLs or custom math approximations.

Note:: This is based on MgcMath.h from Wild Magic.

Definition at line 165 of file OgreMath.h.

Member Enumeration Documentation

enum Ogre::Math::AngleUnit

The angular units used by the API.
This functionality is now deprecated in favor of discreet angular unit types ( see Degree and Radian above ). The only place this functionality is actually still used is when parsing files. Search for usage of the Angle class for those instances
Enumeration values:

AU_DEGREE

AU_RADIAN

Definition at line 173 of file OgreMath.h.

Constructor & Destructor Documentation

Ogre::Math::Math ( unsigned int trigTableSize = 4096 )

Default constructor.

Parameters:

trigTableSize Optional parameter to set the size of the tables used to implement Sin, Cos, Tan

Ogre::Math::~Math ( )

Default destructor.

Member Function Documentation

Radian Ogre::Math::Abs ( const Radian & rValue ) [static]

Definition at line 216 of file OgreMath.h.
References Ogre::Radian::valueRadians().

Degree Ogre::Math::Abs ( const Degree & dValue ) [static]

Definition at line 215 of file OgreMath.h.
References Ogre::Degree::valueDegrees().

Real Ogre::Math::Abs ( Real fValue ) [static]

Definition at line 214 of file OgreMath.h.
References Ogre::Real.

Radian Ogre::Math::ACos ( Real fValue ) [static]

Real Ogre::Math::AngleUnitsToDegrees ( Real units ) [static]

Convert from the current AngleUnit to degrees.

Real Ogre::Math::AngleUnitsToRadians ( Real units ) [static]

Convert from the current AngleUnit to radians.

Radian Ogre::Math::ASin ( Real fValue ) [static]

Radian Ogre::Math::ATan ( Real fValue ) [static]

Definition at line 219 of file OgreMath.h.
References Ogre::Real.

Radian Ogre::Math::ATan2 ( Real fY,

Real fX

) [static]

Definition at line 220 of file OgreMath.h.
References Ogre::Real.

Matrix4 Ogre::Math::buildReflectionMatrix ( const Plane & p ) [static]

Build a reflection matrix for the passed in plane.

void Ogre::Math::buildTrigTables ( ) [protected]

Private function to build trig tables.

Vector3 Ogre::Math::calculateBasicFaceNormal ( const Vector3 & v1,

const Vector3 & v2,

const Vector3 & v3

) [static]

Calculate a face normal, no w-information.

Vector3 Ogre::Math::calculateBasicFaceNormalWithoutNormalize ( const Vector3 & v1,

const Vector3 & v2,

const Vector3 & v3

) [static]

Calculate a face normal without normalize, no w-information.

Vector4 Ogre::Math::calculateFaceNormal ( const Vector3 & v1,

const Vector3 & v2,

const Vector3 & v3

) [static]

Calculate a face normal, including the w component which is the offset from the origin.

Vector4 Ogre::Math::calculateFaceNormalWithoutNormalize ( const Vector3 & v1,

const Vector3 & v2,

const Vector3 & v3

) [static]

Calculate a face normal without normalize, including the w component which is the offset from the origin.

Vector3 Ogre::Math::calculateTangentSpaceVector ( const Vector3 & position1,

const Vector3 & position2,

const Vector3 & position3,

Real u1,

Real v1,

Real u2,

Real v2,

Real u3,

Real v3

) [static]

Calculates the tangent space vector for a given set of positions / texture coords.

Real Ogre::Math::Ceil ( Real fValue ) [static]

Definition at line 221 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::Cos ( Real fValue,

bool useTables = false

) [static]

Cosine function.

Parameters:

fValue Angle in radians

useTables If true, uses lookup tables rather than calculation - faster but less accurate.

Definition at line 240 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::Cos ( const Radian & fValue,

bool useTables = false

) [static]

Cosine function.

Parameters:

fValue Angle in radians

useTables If true, uses lookup tables rather than calculation - faster but less accurate.

Definition at line 230 of file OgreMath.h.
References Ogre::Real, and Ogre::Radian::valueRadians().

Real Ogre::Math::DegreesToAngleUnits ( Real degrees ) [static]

Convert from degrees to the current AngleUnit.

Real Ogre::Math::DegreesToRadians ( Real degrees ) [static]

Definition at line 323 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::Exp ( Real fValue ) [static]

Definition at line 244 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::Floor ( Real fValue ) [static]

Definition at line 246 of file OgreMath.h.
References Ogre::Real.

AngleUnit Ogre::Math::getAngleUnit ( void ) [static]

Get the unit being used for angles.

int Ogre::Math::IAbs ( int iValue ) [static]

Definition at line 209 of file OgreMath.h.

int Ogre::Math::ICeil ( float fValue ) [static]

Definition at line 210 of file OgreMath.h.

int Ogre::Math::IFloor ( float fValue ) [static]

Definition at line 211 of file OgreMath.h.

bool Ogre::Math::intersects ( const Sphere & sphere,

const Plane & plane

) [static]

Sphere / plane intersection test.

Remarks:
NB just do a plane.getDistance(sphere.getCenter()) for more detail!

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const std::list< Plane > & planeList,

bool normalIsOutside

) [static]

Ray / convex plane list intersection test.

Parameters:

ray The ray to test with

plaeList List of planes which form a convex volume

normalIsOutside Does the normal point outside the volume

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const std::vector< Plane > & planeList,

bool normalIsOutside

) [static]

Ray / convex plane list intersection test.

Parameters:

ray The ray to test with

plaeList List of planes which form a convex volume

normalIsOutside Does the normal point outside the volume

bool Ogre::Math::intersects ( const Plane & plane,

const AxisAlignedBox & box

) [static]

Plane / box intersection test.

bool Ogre::Math::intersects ( const Sphere & sphere,

const AxisAlignedBox & box

) [static]

Sphere / box intersection test.

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const Vector3 & a,

const Vector3 & b,

const Vector3 & c,

bool positiveSide = true,

bool negativeSide = true

) [static]

Ray / triangle intersection, returns boolean result and distance.

Parameters:

ray The ray.

a The triangle's first vertex.

b The triangle's second vertex.

c The triangle's third vertex.

positiveSide Intersect with "positive side" of the triangle

negativeSide Intersect with "negative side" of the triangle

Returns:
If the ray is intersects the triangle, a pair of true and the distance between intersection point and ray origin returned.

If the ray isn't intersects the triangle, a pair of false and 0 returned.

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const Vector3 & a,

const Vector3 & b,

const Vector3 & c,

const Vector3 & normal,

bool positiveSide = true,

bool negativeSide = true

) [static]

Ray / triangle intersection, returns boolean result and distance.

Parameters:

ray The ray.

a The triangle's first vertex.

b The triangle's second vertex.

c The triangle's third vertex.

normal The triangle plane's normal (passed in rather than calculated on demand since the callermay already have it), doesn't need normalised since we don't care.

positiveSide Intersect with "positive side" of the triangle

negativeSide Intersect with "negative side" of the triangle

Returns:
If the ray is intersects the triangle, a pair of true and the distance between intersection point and ray origin returned.

If the ray isn't intersects the triangle, a pair of false and 0 returned.

bool Ogre::Math::intersects ( const Ray & ray,

const AxisAlignedBox & box,

Real * d1,

Real * d2

) [static]

Ray / box intersection, returns boolean result and two intersection distance.

Parameters:

ray The ray.

box The box.

d1 A real pointer to retrieve the near intersection distance from the ray origin, maybe null which means don't care about the near intersection distance.

d2 A real pointer to retrieve the far intersection distance from the ray origin, maybe null which means don't care about the far intersection distance.

Returns:
If the ray is intersects the box, true is returned, and the near intersection distance is return by d1, the far intersection distance is return by d2. Guarantee 0 <= d1 <= d2.

If the ray isn't intersects the box, false is returned, and d1 and d2 is unmodified.

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const AxisAlignedBox & box

) [static]

Ray / box intersection, returns boolean result and distance.

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const Sphere & sphere,

bool discardInside = true

) [static]

Ray / sphere intersection, returns boolean result and distance.

std::pair<bool, Real> Ogre::Math::intersects ( const Ray & ray,

const Plane & plane

) [static]

Ray / plane intersection, returns boolean result and distance.

Real Ogre::Math::InvSqrt ( Real fValue ) [static]

Inverse square root i.e.
1 / Sqrt(x), good for vector normalisation.

int Ogre::Math::ISign ( int iValue ) [static]

Real Ogre::Math::Log ( Real fValue ) [static]

Definition at line 248 of file OgreMath.h.
References Ogre::Real.

bool Ogre::Math::pointInTri2D ( const Vector2 & p,

const Vector2 & a,

const Vector2 & b,

const Vector2 & c

) [static]

Checks whether a given point is inside a triangle, in a 2-dimensional (Cartesian) space.

Remarks:
The vertices of the triangle must be given in either trigonometrical (anticlockwise) or inverse trigonometrical (clockwise) order.

Parameters:

p The point.

a The triangle's first vertex.

b The triangle's second vertex.

c The triangle's third vertex.

Returns:
If the point resides in the triangle, true is returned.

If the point is outside the triangle, false is returned.

bool Ogre::Math::pointInTri3D ( const Vector3 & p,

const Vector3 & a,

const Vector3 & b,

const Vector3 & c,

const Vector3 & normal

) [static]

Checks whether a given 3D point is inside a triangle.

Remarks:
The vertices of the triangle must be given in either trigonometrical (anticlockwise) or inverse trigonometrical (clockwise) order, and the point must be guaranteed to be in the same plane as the triangle

Parameters:

p The point.

a The triangle's first vertex.

b The triangle's second vertex.

c The triangle's third vertex.

normal The triangle plane's normal (passed in rather than calculated on demand since the callermay already have it)

Returns:
If the point resides in the triangle, true is returned.

If the point is outside the triangle, false is returned.

Real Ogre::Math::Pow ( Real fBase,

Real fExponent

) [static]

Definition at line 250 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::RadiansToAngleUnits ( Real radians ) [static]

Convert from radians to the current AngleUnit .

Real Ogre::Math::RadiansToDegrees ( Real radians ) [static]

Definition at line 324 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::RangeRandom ( Real fLow,

Real fHigh

) [static]

bool Ogre::Math::RealEqual ( Real a,

Real b,

Real tolerance = std::numeric_limits< Real >::epsilon()

) [static]

Compare 2 reals, using tolerance for inaccuracies.

void Ogre::Math::setAngleUnit ( AngleUnit unit ) [static]

These functions used to set the assumed angle units (radians or degrees) expected when using the Angle type.

You can set this directly after creating a new Root, and also before/after resource creation, depending on whether you want the change to affect resource files.

Degree Ogre::Math::Sign ( const Degree & dValue ) [static]

Definition at line 257 of file OgreMath.h.
References Ogre::Degree::valueDegrees().

Radian Ogre::Math::Sign ( const Radian & rValue ) [static]

Definition at line 253 of file OgreMath.h.
References Ogre::Radian::valueRadians().

Real Ogre::Math::Sign ( Real fValue ) [static]

Real Ogre::Math::Sin ( Real fValue,

bool useTables = false

) [static]

Sine function.

Parameters:

fValue Angle in radians

useTables If true, uses lookup tables rather than calculation - faster but less accurate.

Definition at line 279 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::Sin ( const Radian & fValue,

bool useTables = false

) [static]

Sine function.

Parameters:

fValue Angle in radians

useTables If true, uses lookup tables rather than calculation - faster but less accurate.

Definition at line 269 of file OgreMath.h.
References Ogre::Real, and Ogre::Radian::valueRadians().

Real Ogre::Math::SinTable ( Real fValue ) [static, protected]

Real Ogre::Math::Sqr ( Real fValue ) [static]

Definition at line 283 of file OgreMath.h.
References Ogre::Real.

Degree Ogre::Math::Sqrt ( const Degree & fValue ) [static]

Definition at line 289 of file OgreMath.h.
References Ogre::Degree::valueDegrees().

Radian Ogre::Math::Sqrt ( const Radian & fValue ) [static]

Definition at line 287 of file OgreMath.h.
References Ogre::Radian::valueRadians().

Real Ogre::Math::Sqrt ( Real fValue ) [static]

Definition at line 285 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::SymmetricRandom ( ) [static]

Real Ogre::Math::Tan ( Real fValue,

bool useTables = false

) [static]

Tangent function.

Parameters:

fValue Angle in radians

useTables If true, uses lookup tables rather than calculation - faster but less accurate.

Definition at line 319 of file OgreMath.h.
References Ogre::Real.

Real Ogre::Math::Tan ( const Radian & fValue,

bool useTables = false

) [static]

Tangent function.

Parameters:

fValue Angle in radians

useTables If true, uses lookup tables rather than calculation - faster but less accurate.

Definition at line 309 of file OgreMath.h.
References Ogre::Real, and Ogre::Radian::valueRadians().

Real Ogre::Math::TanTable ( Real fValue ) [static, protected]

Real Ogre::Math::UnitRandom ( ) [static]

Member Data Documentation

const Real Ogre::Math::fDeg2Rad [static]

Definition at line 536 of file OgreMath.h.

const Real Ogre::Math::fRad2Deg [static]

Definition at line 537 of file OgreMath.h.

const Real Ogre::Math::HALF_PI [static]

Definition at line 535 of file OgreMath.h.

AngleUnit Ogre::Math::msAngleUnit [static, protected]

Definition at line 181 of file OgreMath.h.

Real* Ogre::Math::mSinTable [static, protected]

Definition at line 188 of file OgreMath.h.

Real* Ogre::Math::mTanTable [static, protected]

Definition at line 189 of file OgreMath.h.

Real Ogre::Math::mTrigTableFactor [static, protected]

Radian -> index factor value ( mTrigTableSize / 2 * PI ).

Definition at line 187 of file OgreMath.h.

int Ogre::Math::mTrigTableSize [static, protected]

Size of the trig tables as determined by constructor.

Definition at line 184 of file OgreMath.h.

const Real Ogre::Math::NEG_INFINITY [static]

Definition at line 532 of file OgreMath.h.

const Real Ogre::Math::PI [static]

Definition at line 533 of file OgreMath.h.

const Real Ogre::Math::POS_INFINITY [static]

Definition at line 531 of file OgreMath.h.

const Real Ogre::Math::TWO_PI [static]

Definition at line 534 of file OgreMath.h.

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

OgreMath.h


Public Types
enum	AngleUnit { AU_DEGREE, AU_RADIAN }
	The angular units used by the API. More...
Public Member Functions
	Math (unsigned int trigTableSize=4096)
	Default constructor.
	~Math ()
	Default destructor.
Static Public Member Functions
int	IAbs (int iValue)
int	ICeil (float fValue)
int	IFloor (float fValue)
int	ISign (int iValue)
Real	Abs (Real fValue)
Degree	Abs (const Degree &dValue)
Radian	Abs (const Radian &rValue)
Radian	ACos (Real fValue)
Radian	ASin (Real fValue)
Radian	ATan (Real fValue)
Radian	ATan2 (Real fY, Real fX)
Real	Ceil (Real fValue)
Real	Cos (const Radian &fValue, bool useTables=false)
	Cosine function.
Real	Cos (Real fValue, bool useTables=false)
	Cosine function.
Real	Exp (Real fValue)
Real	Floor (Real fValue)
Real	Log (Real fValue)
Real	Pow (Real fBase, Real fExponent)
Real	Sign (Real fValue)
Radian	Sign (const Radian &rValue)
Degree	Sign (const Degree &dValue)
Real	Sin (const Radian &fValue, bool useTables=false)
	Sine function.
Real	Sin (Real fValue, bool useTables=false)
	Sine function.
Real	Sqr (Real fValue)
Real	Sqrt (Real fValue)
Radian	Sqrt (const Radian &fValue)
Degree	Sqrt (const Degree &fValue)
Real	InvSqrt (Real fValue)
	Inverse square root i.e.
Real	UnitRandom ()
Real	RangeRandom (Real fLow, Real fHigh)
Real	SymmetricRandom ()
Real	Tan (const Radian &fValue, bool useTables=false)
	Tangent function.
Real	Tan (Real fValue, bool useTables=false)
	Tangent function.
Real	DegreesToRadians (Real degrees)
Real	RadiansToDegrees (Real radians)
void	setAngleUnit (AngleUnit unit)
	These functions used to set the assumed angle units (radians or degrees) expected when using the Angle type.
AngleUnit	getAngleUnit (void)
	Get the unit being used for angles.
Real	AngleUnitsToRadians (Real units)
	Convert from the current AngleUnit to radians.
Real	RadiansToAngleUnits (Real radians)
	Convert from radians to the current AngleUnit .
Real	AngleUnitsToDegrees (Real units)
	Convert from the current AngleUnit to degrees.
Real	DegreesToAngleUnits (Real degrees)
	Convert from degrees to the current AngleUnit.
bool	pointInTri2D (const Vector2 &p, const Vector2 &a, const Vector2 &b, const Vector2 &c)
	Checks whether a given point is inside a triangle, in a 2-dimensional (Cartesian) space.
bool	pointInTri3D (const Vector3 &p, const Vector3 &a, const Vector3 &b, const Vector3 &c, const Vector3 &normal)
	Checks whether a given 3D point is inside a triangle.
std::pair< bool, Real >	intersects (const Ray &ray, const Plane &plane)
	Ray / plane intersection, returns boolean result and distance.
std::pair< bool, Real >	intersects (const Ray &ray, const Sphere &sphere, bool discardInside=true)
	Ray / sphere intersection, returns boolean result and distance.
std::pair< bool, Real >	intersects (const Ray &ray, const AxisAlignedBox &box)
	Ray / box intersection, returns boolean result and distance.
bool	intersects (const Ray &ray, const AxisAlignedBox &box, Real d1, Real d2)
	Ray / box intersection, returns boolean result and two intersection distance.
std::pair< bool, Real >	intersects (const Ray &ray, const Vector3 &a, const Vector3 &b, const Vector3 &c, const Vector3 &normal, bool positiveSide=true, bool negativeSide=true)
	Ray / triangle intersection, returns boolean result and distance.
std::pair< bool, Real >	intersects (const Ray &ray, const Vector3 &a, const Vector3 &b, const Vector3 &c, bool positiveSide=true, bool negativeSide=true)
	Ray / triangle intersection, returns boolean result and distance.
bool	intersects (const Sphere &sphere, const AxisAlignedBox &box)
	Sphere / box intersection test.
bool	intersects (const Plane &plane, const AxisAlignedBox &box)
	Plane / box intersection test.
std::pair< bool, Real >	intersects (const Ray &ray, const std::vector< Plane > &planeList, bool normalIsOutside)
	Ray / convex plane list intersection test.
std::pair< bool, Real >	intersects (const Ray &ray, const std::list< Plane > &planeList, bool normalIsOutside)
	Ray / convex plane list intersection test.
bool	intersects (const Sphere &sphere, const Plane &plane)
	Sphere / plane intersection test.
bool	RealEqual (Real a, Real b, Real tolerance=std::numeric_limits< Real >::epsilon())
	Compare 2 reals, using tolerance for inaccuracies.
Vector3	calculateTangentSpaceVector (const Vector3 &position1, const Vector3 &position2, const Vector3 &position3, Real u1, Real v1, Real u2, Real v2, Real u3, Real v3)
	Calculates the tangent space vector for a given set of positions / texture coords.
Matrix4	buildReflectionMatrix (const Plane &p)
	Build a reflection matrix for the passed in plane.
Vector4	calculateFaceNormal (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)
	Calculate a face normal, including the w component which is the offset from the origin.
Vector3	calculateBasicFaceNormal (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)
	Calculate a face normal, no w-information.
Vector4	calculateFaceNormalWithoutNormalize (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)
	Calculate a face normal without normalize, including the w component which is the offset from the origin.
Vector3	calculateBasicFaceNormalWithoutNormalize (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)
	Calculate a face normal without normalize, no w-information.
Static Public Attributes
const Real	POS_INFINITY
const Real	NEG_INFINITY
const Real	PI
const Real	TWO_PI
const Real	HALF_PI
const Real	fDeg2Rad
const Real	fRad2Deg
Protected Member Functions
void	buildTrigTables ()
	Private function to build trig tables.
Static Protected Member Functions
Real	SinTable (Real fValue)
Real	TanTable (Real fValue)
Static Protected Attributes
AngleUnit	msAngleUnit
int	mTrigTableSize
	Size of the trig tables as determined by constructor.
Real	mTrigTableFactor
	Radian -> index factor value ( mTrigTableSize / 2 * PI ).
Real *	mSinTable
Real *	mTanTable