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

#include <OgreMath.h>

Collaboration diagram for Ogre::Math:

Classes
class	RandomValueProvider
	This class is used to provide an external random value provider. More...

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. More...

	~Math ()
	Default destructor. More...

Static Public Member Functions
static Real	Abs (Real fValue)
	Absolute value function. More...

static Degree	Abs (const Degree &dValue)
	Absolute value function. More...

static Radian	Abs (const Radian &rValue)
	Absolute value function. More...

static Radian	ACos (Real fValue)
	Arc cosine function. More...

static Real	AngleUnitsToDegrees (Real units)
	Convert from the current AngleUnit to degrees. More...

static Real	AngleUnitsToRadians (Real units)
	Convert from the current AngleUnit to radians. More...

static Radian	ASin (Real fValue)
	Arc sine function. More...

static Radian	ATan (Real fValue)
	Arc tangent function. More...

static Radian	ATan2 (Real fY, Real fX)
	Arc tangent between two values function. More...

static Real	boundingRadiusFromAABB (const AxisAlignedBox &aabb)
	Get a bounding radius value from a bounding box. More...

static Matrix4	buildReflectionMatrix (const Plane &p)
	Build a reflection matrix for the passed in plane. More...

static Vector3	calculateBasicFaceNormal (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)
	Calculate a face normal, no w-information. More...

static Vector3	calculateBasicFaceNormalWithoutNormalize (const Vector3 &v1, const Vector3 &v2, const Vector3 &v3)
	Calculate a face normal without normalize, no w-information. More...

static 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. More...

static 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. More...

static 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. More...

static Real	Ceil (Real fValue)
	Ceiling function Returns the smallest following integer. More...

template<typename T >
static T	Clamp (T val, T minval, T maxval)
	Clamp a value within an inclusive range. More...

static Real	Cos (const Radian &fValue, bool useTables=false)
	Cosine function. More...

static Real	Cos (Real fValue, bool useTables=false)
	Cosine function. More...

static Real	DegreesToAngleUnits (Real degrees)
	Convert from degrees to the current AngleUnit. More...

static Real	DegreesToRadians (Real degrees)

static Real	Exp (Real fValue)

static Real	Floor (Real fValue)
	Floor function Returns the largest previous integer. More...

static Real	gaussianDistribution (Real x, Real offset=0.0f, Real scale=1.0f)
	Generates a value based on the Gaussian (normal) distribution function with the given offset and scale parameters. More...

static AngleUnit	getAngleUnit (void)
	Get the unit being used for angles. More...

static int	IAbs (int iValue)

static int	ICeil (float fValue)

static int	IFloor (float fValue)

static std::pair< bool, Real >	intersects (const Ray &ray, const Plane &plane)
	Ray / plane intersection, returns boolean result and distance. More...

static std::pair< bool, Real >	intersects (const Ray &ray, const Sphere &sphere, bool discardInside=true)
	Ray / sphere intersection, returns boolean result and distance. More...

static std::pair< bool, Real >	intersects (const Ray &ray, const AxisAlignedBox &box)
	Ray / box intersection, returns boolean result and distance. More...

static bool	intersects (const Ray &ray, const AxisAlignedBox &box, Real d1, Real d2)
	Ray / box intersection, returns boolean result and two intersection distance. More...

static 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. More...

static 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. More...

static bool	intersects (const Sphere &sphere, const AxisAlignedBox &box)
	Sphere / box intersection test. More...

static bool	intersects (const Plane &plane, const AxisAlignedBox &box)
	Plane / box intersection test. More...

static std::pair< bool, Real >	intersects (const Ray &ray, const vector< Plane >::type &planeList, bool normalIsOutside)
	Ray / convex plane list intersection test. More...

static std::pair< bool, Real >	intersects (const Ray &ray, const list< Plane >::type &planeList, bool normalIsOutside)
	Ray / convex plane list intersection test. More...

static bool	intersects (const Sphere &sphere, const Plane &plane)
	Sphere / plane intersection test. More...

static Real	InvSqrt (Real fValue)
	Inverse square root i.e. More...

static int	ISign (int iValue)

static bool	isNaN (Real f)

template<typename V , typename T >
static V	lerp (const V &v0, const V &v1, const T &t)

static Real	Log (Real fValue)

static Real	Log2 (Real fValue)

static Real	LogN (Real base, Real fValue)

static Matrix4	makeViewMatrix (const Vector3 &position, const Quaternion &orientation, const Matrix4 *reflectMatrix=0)

static 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. More...

static 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. More...

static Real	Pow (Real fBase, Real fExponent)

static Real	RadiansToAngleUnits (Real radians)
	Convert from radians to the current AngleUnit . More...

static Real	RadiansToDegrees (Real radians)

static Real	RangeRandom (Real fLow, Real fHigh)
	Generate a random number within the range provided. More...

static bool	RealEqual (Real a, Real b, Real tolerance=std::numeric_limits< Real >::epsilon())
	Compare 2 reals, using tolerance for inaccuracies. More...

static float	saturate (float t)

static double	saturate (double t)

static void	setAngleUnit (AngleUnit unit)
	These functions used to set the assumed angle units (radians or degrees) expected when using the Angle type. More...

static void	SetRandomValueProvider (RandomValueProvider *provider)

static Real	Sign (Real fValue)

static Radian	Sign (const Radian &rValue)

static Degree	Sign (const Degree &dValue)

static Real	Sin (const Radian &fValue, bool useTables=false)
	Sine function. More...

static Real	Sin (Real fValue, bool useTables=false)
	Sine function. More...

static Real	Sqr (Real fValue)
	Squared function. More...

static Real	Sqrt (Real fValue)
	Square root function. More...

static Radian	Sqrt (const Radian &fValue)
	Square root function. More...

static Degree	Sqrt (const Degree &fValue)
	Square root function. More...

static Real	SymmetricRandom ()
	Generate a random number in the range [-1,1]. More...

static Real	Tan (const Radian &fValue, bool useTables=false)
	Tangent function. More...

static Real	Tan (Real fValue, bool useTables=false)
	Tangent function. More...

static Real	UnitRandom ()
	Generate a random number of unit length. More...

Static Public Attributes
static const Real	fDeg2Rad

static const Real	fRad2Deg

static const Real	HALF_PI

static const Real	LOG2
	Stored value of log(2) for frequent use. More...

static const Real	NEG_INFINITY

static const Real	PI

static const Real	POS_INFINITY

static const Real	TWO_PI

Protected Member Functions
void	buildTrigTables ()
	Private function to build trig tables. More...

Static Protected Member Functions
static Real	SinTable (Real fValue)

static Real	TanTable (Real fValue)

Static Protected Attributes
static RandomValueProvider *	mRandProvider
	A random value provider. overriding the default random number generator. More...

static AngleUnit	msAngleUnit
	Angle units used by the api. More...

static Real *	mSinTable

static Real *	mTanTable

static Real	mTrigTableFactor
	Radian -> index factor value ( mTrigTableSize / 2 * PI ) More...

static int	mTrigTableSize
	Size of the trig tables as determined by constructor. More...

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 191 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

Enumerator
AU_DEGREE
AU_RADIAN

Definition at line 199 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

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

inlinestatic

Absolute value function.

Parameters

fValue The value whose absolute value will be returned.

Definition at line 258 of file OgreMath.h.

Referenced by Ogre::Vector3::absDotProduct(), Ogre::Vector3::directionEquals(), Ogre::Volume::OctreeNode::isIsoSurfaceNear(), Ogre::Vector3::primaryAxis(), and Ogre::AxisAlignedBox::transformAffine().

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

inlinestatic

Absolute value function.

Parameters

dValue The value, in degrees, whose absolute value will be returned.

Definition at line 264 of file OgreMath.h.

References Ogre::Degree::valueDegrees().

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

inlinestatic

Absolute value function.

Parameters

rValue The value, in radians, whose absolute value will be returned.

Definition at line 270 of file OgreMath.h.

References Ogre::Radian::valueRadians().

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

static

Arc cosine function.

Parameters

fValue The value whose arc cosine will be returned.

Referenced by Ogre::Vector2::angleBetween(), Ogre::Vector3::angleBetween(), and Ogre::Vector3::directionEquals().

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

static

Convert from the current AngleUnit to degrees.

Referenced by Ogre::Angle::operator Degree().

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

static

Convert from the current AngleUnit to radians.

Referenced by Ogre::Angle::operator Radian().

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

static

Arc sine function.

Parameters

fValue The value whose arc sine will be returned.

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

inlinestatic

Arc tangent function.

Parameters

fValue The value whose arc tangent will be returned.

Definition at line 288 of file OgreMath.h.

static Radian Ogre::Math::ATan2	(	Real	fY,
		Real	fX
	)

inlinestatic

Arc tangent between two values function.

Parameters

fY	The first value to calculate the arc tangent with.
fX	The second value to calculate the arc tangent with.

Definition at line 296 of file OgreMath.h.

static Real Ogre::Math::boundingRadiusFromAABB ( const AxisAlignedBox & aabb )

static

Get a bounding radius value from a bounding box.

static 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.

static Vector3 Ogre::Math::calculateBasicFaceNormal	(	const Vector3 &	v1,
		const Vector3 &	v2,
		const Vector3 &	v3
	)

static

Calculate a face normal, no w-information.

static Vector3 Ogre::Math::calculateBasicFaceNormalWithoutNormalize	(	const Vector3 &	v1,
		const Vector3 &	v2,
		const Vector3 &	v3
	)

static

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

static 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.

static 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.

static 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.

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

inlinestatic

Ceiling function Returns the smallest following integer.

(example: Ceil(1.1) = 2)

Parameters

fValue The value to round up to the nearest integer.

Definition at line 304 of file OgreMath.h.

template<typename T >

static T Ogre::Math::Clamp	(	T	val,
		T	minval,
		T	maxval
	)

inlinestatic

Clamp a value within an inclusive range.

Definition at line 690 of file OgreMath.h.

Referenced by Ogre::Vector2::angleBetween(), and Ogre::Vector3::angleBetween().

static Real Ogre::Math::Cos	(	const Radian &	fValue,
		bool	useTables = `false`
	)

inlinestatic

Cosine 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::Radian::valueRadians().

Referenced by Ogre::Vector2::randomDeviant().

static Real Ogre::Math::Cos	(	Real	fValue,
		bool	useTables = `false`
	)

inlinestatic

Cosine function.

Parameters

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

Definition at line 329 of file OgreMath.h.

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

static

Convert from degrees to the current AngleUnit.

Referenced by Ogre::Degree::valueAngleUnits().

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

inlinestatic

Definition at line 475 of file OgreMath.h.

Referenced by Ogre::Degree::valueRadians().

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

inlinestatic

Definition at line 333 of file OgreMath.h.

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

inlinestatic

Floor function Returns the largest previous integer.

(example: Floor(1.9) = 1)

Parameters

fValue The value to round down to the nearest integer.

Definition at line 341 of file OgreMath.h.

static Real Ogre::Math::gaussianDistribution	(	Real	x,
		Real	offset = `0.0f`,
		Real	scale = `1.0f`
	)

static

Generates a value based on the Gaussian (normal) distribution function with the given offset and scale parameters.

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

static

Get the unit being used for angles.

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

inlinestatic

Definition at line 249 of file OgreMath.h.

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

inlinestatic

Definition at line 250 of file OgreMath.h.

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

inlinestatic

Definition at line 251 of file OgreMath.h.

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

static

Ray / plane intersection, returns boolean result and distance.

Referenced by Ogre::Ray::intersects(), Ogre::Sphere::intersects(), Ogre::PlaneBoundedVolume::intersects(), and Ogre::AxisAlignedBox::intersects().

static 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.

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

static

Ray / box intersection, returns boolean result and distance.

static 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.

static 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 caller may 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.

static 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.

static bool Ogre::Math::intersects	(	const Sphere &	sphere,
		const AxisAlignedBox &	box
	)

static

Sphere / box intersection test.

static bool Ogre::Math::intersects	(	const Plane &	plane,
		const AxisAlignedBox &	box
	)

static

Plane / box intersection test.

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

static

Ray / convex plane list intersection test.

Parameters

ray	The ray to test with
planeList	List of planes which form a convex volume
normalIsOutside	Does the normal point outside the volume

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

static

Ray / convex plane list intersection test.

Parameters

ray	The ray to test with
planeList	List of planes which form a convex volume
normalIsOutside	Does the normal point outside the volume

static 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!

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

static

Inverse square root i.e.

1 / Sqrt(x), good for vector normalisation.

Parameters

fValue The value whose inverse square root will be calculated.

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

static

static bool Ogre::Math::isNaN ( Real f )

inlinestatic

Definition at line 305 of file OgreMath.h.

Referenced by Ogre::DualQuaternion::isNaN(), Ogre::Quaternion::isNaN(), Ogre::Vector4::isNaN(), Ogre::Vector2::isNaN(), and Ogre::Vector3::isNaN().

template<typename V , typename T >

static V Ogre::Math::lerp	(	const V &	v0,
		const V &	v1,
		const T &	t
	)

inlinestatic

Definition at line 371 of file OgreMath.h.

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

inlinestatic

Definition at line 343 of file OgreMath.h.

static Real Ogre::Math::Log2 ( Real fValue )

inlinestatic

Definition at line 348 of file OgreMath.h.

static Real Ogre::Math::LogN	(	Real	base,
		Real	fValue
	)

inlinestatic

Definition at line 350 of file OgreMath.h.

static Matrix4 Ogre::Math::makeViewMatrix	(	const Vector3 &	position,
		const Quaternion &	orientation,
		const Matrix4 *	reflectMatrix = `0`
	)

static

static 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.

static 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	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 caller may already have it)

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

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

static Real Ogre::Math::Pow	(	Real	fBase,
		Real	fExponent
	)

inlinestatic

Definition at line 352 of file OgreMath.h.

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

static

Convert from radians to the current AngleUnit .

Referenced by Ogre::Radian::valueAngleUnits().

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

inlinestatic

Definition at line 476 of file OgreMath.h.

Referenced by Ogre::Radian::valueDegrees().

static Real Ogre::Math::RangeRandom	(	Real	fLow,
		Real	fHigh
	)

static

Generate a random number within the range provided.

Parameters

fLow	The lower bound of the range.
fHigh	The upper bound of the range.

Returns: A random number in the range from [fLow,fHigh].

Referenced by Ogre::Vector2::randomDeviant().

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

static

Compare 2 reals, using tolerance for inaccuracies.

Referenced by Ogre::Matrix3::hasScale(), Ogre::Matrix4::hasScale(), Ogre::QueuedRenderableCollection::DepthSortDescendingLess::operator()(), and Ogre::Vector3::positionEquals().

static float Ogre::Math::saturate ( float t )

inlinestatic

Definition at line 365 of file OgreMath.h.

static double Ogre::Math::saturate ( double t )

inlinestatic

Definition at line 366 of file OgreMath.h.

static 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.

static void Ogre::Math::SetRandomValueProvider ( RandomValueProvider * provider )

static

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

static

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

inlinestatic

Definition at line 355 of file OgreMath.h.

References Ogre::Radian::valueRadians().

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

inlinestatic

Definition at line 359 of file OgreMath.h.

References Ogre::Degree::valueDegrees().

static Real Ogre::Math::Sin	(	const Radian &	fValue,
		bool	useTables = `false`
	)

inlinestatic

Sine function.

Parameters

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

Definition at line 381 of file OgreMath.h.

References Ogre::Radian::valueRadians().

Referenced by Ogre::Vector2::randomDeviant().

static Real Ogre::Math::Sin	(	Real	fValue,
		bool	useTables = `false`
	)

inlinestatic

Sine function.

Parameters

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

Definition at line 391 of file OgreMath.h.

static Real Ogre::Math::SinTable ( Real fValue )

staticprotected

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

inlinestatic

Squared function.

Parameters

fValue The value to be squared (fValue^2)

Definition at line 399 of file OgreMath.h.

Referenced by Ogre::Sphere::intersects(), and Ogre::Sphere::merge().

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

inlinestatic

Square root function.

Parameters

fValue The value whose square root will be calculated.

Definition at line 405 of file OgreMath.h.

Referenced by Ogre::AxisAlignedBox::distance(), Ogre::Vector3::getRotationTo(), Ogre::Vector2::length(), Ogre::Vector3::length(), Ogre::Sphere::merge(), Ogre::Vector2::normalise(), and Ogre::Vector3::normalise().

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

inlinestatic

Square root function.

Parameters

fValue The value, in radians, whose square root will be calculated.

Returns: The square root of the angle in radians.

Definition at line 413 of file OgreMath.h.

References Ogre::Radian::valueRadians().

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

inlinestatic

Square root function.

Parameters

fValue The value, in degrees, whose square root will be calculated.

Returns: The square root of the angle in degrees.

Definition at line 421 of file OgreMath.h.

References Ogre::Degree::valueDegrees().

static Real Ogre::Math::SymmetricRandom ( )

static

Generate a random number in the range [-1,1].

Returns: A random number in the range from [-1,1].

static Real Ogre::Math::Tan	(	const Radian &	fValue,
		bool	useTables = `false`
	)

inlinestatic

Tangent function.

Parameters

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

Definition at line 461 of file OgreMath.h.

References Ogre::Radian::valueRadians().

static Real Ogre::Math::Tan	(	Real	fValue,
		bool	useTables = `false`
	)

inlinestatic

Tangent function.

Parameters

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

Definition at line 471 of file OgreMath.h.

static Real Ogre::Math::TanTable ( Real fValue )

staticprotected

static Real Ogre::Math::UnitRandom ( )

static

Generate a random number of unit length.

Returns: A random number in the range from [0,1].

Referenced by Ogre::Vector3::randomDeviant().

Member Data Documentation

const Real Ogre::Math::fDeg2Rad

static

Definition at line 709 of file OgreMath.h.

const Real Ogre::Math::fRad2Deg

static

Definition at line 710 of file OgreMath.h.

const Real Ogre::Math::HALF_PI

static

Definition at line 708 of file OgreMath.h.

const Real Ogre::Math::LOG2

static

Stored value of log(2) for frequent use.

Definition at line 346 of file OgreMath.h.

RandomValueProvider* Ogre::Math::mRandProvider

staticprotected

A random value provider. overriding the default random number generator.

Definition at line 229 of file OgreMath.h.

AngleUnit Ogre::Math::msAngleUnit

staticprotected

Angle units used by the api.

Definition at line 218 of file OgreMath.h.

Real* Ogre::Math::mSinTable

staticprotected

Definition at line 225 of file OgreMath.h.

Real* Ogre::Math::mTanTable

staticprotected

Definition at line 226 of file OgreMath.h.

Real Ogre::Math::mTrigTableFactor

staticprotected

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

Definition at line 224 of file OgreMath.h.

int Ogre::Math::mTrigTableSize

staticprotected

Size of the trig tables as determined by constructor.

Definition at line 221 of file OgreMath.h.

const Real Ogre::Math::NEG_INFINITY

static

Definition at line 705 of file OgreMath.h.

const Real Ogre::Math::PI

static

Definition at line 706 of file OgreMath.h.

Referenced by Ogre::Vector3::getRotationTo().

const Real Ogre::Math::POS_INFINITY

static

Definition at line 704 of file OgreMath.h.

Referenced by Ogre::Volume::CSGCubeSource::distanceTo(), Ogre::AxisAlignedBox::getHalfSize(), Ogre::AxisAlignedBox::getSize(), and Ogre::AxisAlignedBox::volume().

const Real Ogre::Math::TWO_PI

static

Definition at line 707 of file OgreMath.h.

Referenced by Ogre::Vector2::angleTo(), and Ogre::Vector3::randomDeviant().

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

OgreMath.h

Classes

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