All Math classes, functions, variables, and constants. More...

Classes
class	Interpolator
struct	ILerpOverTime
struct	LerpOverTime1
struct	LerpOverTime3
struct	LerpOverTime3x3
class	Matrix3x3
class	Path
class	Point
class	Quaternion
Functions
const float	PI (3.14159265f)
const float	PSEUDO_INFINITY (1000000.0f)
const float	CLOSE_TO_ZERO (0.00001f)
float	getRadFromDeg (float deg_)
float	rand01 ()
float	randNeg1Pos1 ()
int	roundToInt (double num_)
Utils::uint	roundToUInt (float num_)
Utils::uint	timeStamp ()
template<class T >
T	clamp (T &num_, const T &min_=0, const T &max_=1)
Matrix3x3	operator* (const Matrix3x3 &lhs_, const Matrix3x3 &rhs_)
Matrix3x3	getRotation (const Math::Point<> &axis_, float radians_)
void	getAxisAngle (const Matrix3x3 &rot_, Math::Point<> &axis_, float &radians_)
Math::Point	operator* (const Math::Point<> &lhs_, const Matrix3x3 &rhs_)
template<class T , class U >
bool	operator== (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
bool	operator!= (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
Point< T >	operator+ (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
Point< T >	operator- (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
Point< T >	operator* (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
Point< T >	operator/ (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
Point< T >	operator* (const Point< T > &lhs_, const U &rhs_)
template<class T , class U >
Point< T >	operator/ (const Point< T > &lhs_, const U &rhs_)
template<class T , class U >
T	getLength (const Point< T > &lhs_, const Point< U > &rhs_)
template<class T , class U >
Point< T >	interpolate (const Point< T > &lhs_, const Point< U > &rhs_, float amount_)
Point< float, 2 >	RandPointInOrOnCircle (float radius_)
const Point	g_xAxis (1.0f, 0.0f, 0.0f)
const Point	g_yAxis (0.0f, 1.0f, 0.0f)
const Point	g_zAxis (0.0f, 0.0f, 1.0f)
Variables
const Matrix3x3	g_identityMatrix3x3
const Point	g_origin
const Point	g_xAxis (1.0f, 0.0f, 0.0f)
const Point	g_yAxis (0.0f, 1.0f, 0.0f)
const Point	g_zAxis (0.0f, 0.0f, 1.0f)
const Math::Quaternion	g_multIdentityQuat

Detailed Description

All Math classes, functions, variables, and constants.

Function Documentation

template<class T >

T OpenSkyNet::Math::clamp	(	T &	num_,
		const T &	min_ = `0`,
		const T &	max_ = `1`
	)		`[inline]`

If a number is out of specified bounds, set it to the nearest bound, and return the difference between the original value and nearest bound.

Parameters:

num_	the number to check
min_	the minimum bound
max_	the maximum bound

const float OpenSkyNet::Math::CLOSE_TO_ZERO ( 0. 00001f )

const Point OpenSkyNet::Math::g_xAxis	(	1.	0f,
		0.	0f,
		0.	0f
	)

const Point OpenSkyNet::Math::g_yAxis	(	0.	0f,
		1.	0f,
		0.	0f
	)

const Point OpenSkyNet::Math::g_zAxis	(	0.	0f,
		0.	0f,
		1.	0f
	)

void OpenSkyNet::Math::getAxisAngle	(	const Matrix3x3 &	rot_,
		Math::Point<> &	axis_,
		float &	radians_
	)		`[inline]`

Get the axis-angle representation of a matrix. NOTE: rot_ must be orthonormal Based on code from: http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToAngle/index.htm

template<class T , class U >

T OpenSkyNet::Math::getLength	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Length

float OpenSkyNet::Math::getRadFromDeg ( float deg_ ) [inline]

Returns the # of radians equivalent to deg_ degrees.

Matrix3x3 OpenSkyNet::Math::getRotation	(	const Math::Point<> &	axis_,
		float	radians_
	)		`[inline]`

Return the rotation matrix corresponding to this axis/angle. NOTE: axis_ must be normalized

template<class T , class U >

Point< T > OpenSkyNet::Math::interpolate	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_,
		float	amount_
	)		`[inline]`

Interpolation Return a point along a line defined by 2 points (endpoints inclusive)

Parameters:

lhs_	1st bounding point to use for interpolation
rhs_	2nd bounding point to use for interpolation
amount_	from 0 (lhs_) to 1 (rhs_)

template<class T , class U >

bool OpenSkyNet::Math::operator!=	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Inequality

template<class T , class U >

Point< T > OpenSkyNet::Math::operator*	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Component multiplication

template<class T , class U >

Point< T > OpenSkyNet::Math::operator*	(	const Point< T > &	lhs_,
		const U &	rhs_
	)		`[inline]`

Multiplication of all axes by a scalar

Matrix3x3 OpenSkyNet::Math::operator*	(	const Matrix3x3 &	lhs_,
		const Matrix3x3 &	rhs_
	)		`[inline]`

Matrix Multiplication

Math::Point OpenSkyNet::Math::operator*	(	const Math::Point<> &	lhs_,
		const Matrix3x3 &	rhs_
	)		`[inline]`

Multiplication of a point by a matrix

template<class T , class U >

Point< T > OpenSkyNet::Math::operator+	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Addition

template<class T , class U >

Point< T > OpenSkyNet::Math::operator-	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Subtraction

template<class T , class U >

Point< T > OpenSkyNet::Math::operator/	(	const Point< T > &	lhs_,
		const U &	rhs_
	)		`[inline]`

Division of all axes by a scalar

template<class T , class U >

Point< T > OpenSkyNet::Math::operator/	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Component division

template<class T , class U >

bool OpenSkyNet::Math::operator==	(	const Point< T > &	lhs_,
		const Point< U > &	rhs_
	)		`[inline]`

Equality

const float OpenSkyNet::Math::PI ( 3. 14159265f )

const float OpenSkyNet::Math::PSEUDO_INFINITY ( 1000000. 0f )

float OpenSkyNet::Math::rand01 ( ) [inline]

Returns a pseudo-random float between 0.0 and 1.0.

float OpenSkyNet::Math::randNeg1Pos1 ( ) [inline]

Returns a pseudo-random float between -1.0 and 1.0.

Point< float, 2 > OpenSkyNet::Math::RandPointInOrOnCircle ( float radius_ ) [inline]

Pick a random point in a circle of a given radius. First, try rejection sampling by picking a random point in a square of side 2r and test if it lies in or on the circle. If that fails after a few attempts (see code comments), then use this method: http://stackoverflow.com/questions/5837572/generate-a-random-point-within-a-circle-uniformly/5838055#5838055

int OpenSkyNet::Math::roundToInt ( double num_ ) [inline]

Round a double to an int.

Utils::uint OpenSkyNet::Math::roundToUInt ( float num_ ) [inline]

Round a positive float to an uint.

Utils::uint OpenSkyNet::Math::timeStamp ( ) [inline]

Returns the number of seconds passed since the process started.