#include <cmath>
#include "Mathlib.inl"

Include dependency graph for Mathlib.h:

This graph shows which files directly or indirectly include this file:

Classes
class	Vector3< Real >
class	Matrix4x4< Real >
class	Quaternion< Real >
Typedefs
typedef Vector3< float >	Vector3f
typedef Vector3< double >	Vector3d
typedef Matrix4x4< float >	Matrix4x4f
typedef Matrix4x4< double >	Matrix4x4d
typedef Quaternion< float >	Quaternionf
typedef Quaternion< double >	Quaterniond
Enumerations
enum	Axis { kXaxis, kYaxis, kZaxis }
Functions
template<typename Real >
Real	wrapPi (Real theta)
template<typename Real >
Real	safeAcos (Real x)
template<typename Real >
void	canonizeEulerAngles (Real &roll, Real &pitch, Real &yaw)
template<typename Real >
Real	degToRad (Real deg)
template<typename Real >
Real	radToDeg (Real rad)
template<typename Real >
Real	fovToZoom (Real fov)
template<typename Real >
Real	zoomToFov (Real zoom)
static const Vector3f	kZeroVectorf (0.0f, 0.0f, 0.0f)
static const Vector3d	kZeroVectord (0.0, 0.0, 0.0)
template<typename Real >
Vector3< Real >	operator* (Real k, Vector3< Real > v)
template<typename Real >
Real	VectorMag (const Vector3< Real > &v)
template<typename Real >
Real	DotProduct (const Vector3< Real > &a, const Vector3< Real > &b)
template<typename Real >
Vector3< Real >	CrossProduct (const Vector3< Real > &a, const Vector3< Real > &b)
template<typename Real >
Vector3< Real >	ComputeNormal (const Vector3< Real > &p1, const Vector3< Real > &p2, const Vector3< Real > &p3)
template<typename Real >
Real	Distance (const Vector3< Real > &a, const Vector3< Real > &b)
template<typename Real >
Real	DistanceSquared (const Vector3< Real > &a, const Vector3< Real > &b)
template<typename Real >
Matrix4x4< Real >	operator* (const Matrix4x4< Real > &a, const Matrix4x4< Real > &b)
template<typename Real >
Matrix4x4< Real > &	operator*= (Matrix4x4< Real > &a, const Matrix4x4< Real > &b)
template<typename Real >
Vector3< Real >	operator* (const Matrix4x4< Real > &m, const Vector3< Real > &p)
template<typename Real >
Matrix4x4< Real >	Transpose (const Matrix4x4< Real > &m)
template<typename Real >
Matrix4x4< Real >	Invert (const Matrix4x4< Real > &m)
template<typename Real >
Matrix4x4< Real >	RotationMatrix (Axis axis, Real theta)
template<typename Real >
Matrix4x4< Real >	RotationMatrix (const Vector3< Real > &axis, Real theta)
template<typename Real >
Matrix4x4< Real >	TranslationMatrix (Real x, Real y, Real z)
template<typename Real >
Matrix4x4< Real >	TranslationMatrix (const Vector3< Real > &v)
template<typename Real >
Matrix4x4< Real >	ScaleMatrix (const Vector3< Real > &s)
template<typename Real >
Matrix4x4< Real >	ScaleAlongAxisMatrix (const Vector3< Real > &axis, Real k)
template<typename Real >
Matrix4x4< Real >	ShearMatrix (Axis axis, Real s, Real t)
template<typename Real >
Matrix4x4< Real >	ProjectionMatrix (const Vector3< Real > &n)
template<typename Real >
Matrix4x4< Real >	ReflectionMatrix (Axis axis, Real k)
template<typename Real >
Matrix4x4< Real >	AxisReflectionMatrix (const Vector3< Real > &n)
template<typename Real >
Matrix4x4< Real >	LookAtMatrix (const Vector3< Real > &camPos, const Vector3< Real > &target, const Vector3< Real > &camUp)
template<typename Real >
Matrix4x4< Real >	FrustumMatrix (Real l, Real r, Real b, Real t, Real n, Real f)
template<typename Real >
Matrix4x4< Real >	PerspectiveMatrix (Real fovY, Real aspect, Real n, Real f)
template<typename Real >
Matrix4x4< Real >	OrthoMatrix (Real l, Real r, Real b, Real t, Real n, Real f)
template<typename Real >
Matrix4x4< Real >	OrthoNormalMatrix (const Vector3< Real > &xdir, const Vector3< Real > &ydir, const Vector3< Real > &zdir)
static const Quaternionf	kQuaternionIdentityf (1.0f, 0.0f, 0.0f, 0.0f)
static const Quaterniond	kQuaternionIdentityd (1.0f, 0.0f, 0.0f, 0.0f)
template<typename Real >
Quaternion< Real >	operator* (Real k, const Quaternion< Real > &q)
template<typename Real >
Real	DotProduct (const Quaternion< Real > &a, const Quaternion< Real > &b)
template<typename Real >
Quaternion< Real >	Conjugate (const Quaternion< Real > &q)
template<typename Real >
Quaternion< Real >	Inverse (const Quaternion< Real > &q)
template<typename Real >
Quaternion< Real >	RotationQuaternion (Axis axis, Real theta)
template<typename Real >
Quaternion< Real >	RotationQuaternion (const Vector3< Real > &axis, Real theta)
template<typename Real >
Quaternion< Real >	Log (const Quaternion< Real > &q)
template<typename Real >
Quaternion< Real >	Exp (const Quaternion< Real > &q)
template<typename Real >
Quaternion< Real >	Pow (const Quaternion< Real > &q, Real exponent)
template<typename Real >
Quaternion< Real >	Slerp (const Quaternion< Real > &q0, const Quaternion< Real > &q1, Real t)
template<typename Real >
Quaternion< Real >	Squad (const Quaternion< Real > &q0, const Quaternion< Real > &qa, const Quaternion< Real > &qb, const Quaternion< Real > &q1, Real t)
template<typename Real >
void	Intermediate (const Quaternion< Real > &qprev, const Quaternion< Real > &qcurr, const Quaternion< Real > &qnext, Quaternion< Real > &qa, Quaternion< Real > &qb)
Variables
const float	kPi = 3.14159265358979323846f
const float	k2Pi = kPi * 2.0f
const float	kPiOver2 = kPi / 2.0f
const float	k1OverPi = 1.0f / kPi
const float	k1Over2Pi = 1.0f / k2Pi
const float	kPiOver180 = kPi / 180.0f
const float	k180OverPi = 180.0f / kPi

Typedef Documentation

typedef Vector3<float> Vector3f

Definition at line 135 of file Mathlib.h.

typedef Vector3<double> Vector3d

Definition at line 136 of file Mathlib.h.

typedef Matrix4x4<float> Matrix4x4f

Definition at line 246 of file Mathlib.h.

typedef Matrix4x4<double> Matrix4x4d

Definition at line 247 of file Mathlib.h.

typedef Quaternion<float> Quaternionf

Definition at line 378 of file Mathlib.h.

typedef Quaternion<double> Quaterniond

Definition at line 379 of file Mathlib.h.

Enumeration Type Documentation

enum Axis

Enumerator:

kXaxis
kYaxis
kZaxis

Definition at line 31 of file Mathlib.h.

Function Documentation

template<typename Real >

Real wrapPi ( Real theta )

template<typename Real >

Real safeAcos ( Real x )

template<typename Real >

void canonizeEulerAngles	(	Real &	roll,
		Real &	pitch,
		Real &	yaw
	)

template<typename Real >

Real degToRad ( Real deg ) [inline]

Definition at line 59 of file Mathlib.h.

template<typename Real >

Real radToDeg ( Real rad ) [inline]

Definition at line 62 of file Mathlib.h.

template<typename Real >

Real fovToZoom ( Real fov ) [inline]

Definition at line 67 of file Mathlib.h.

template<typename Real >

Real zoomToFov ( Real zoom ) [inline]

Definition at line 70 of file Mathlib.h.

static const Vector3f kZeroVectorf	(	0.	0f,
		0.	0f,
		0.	0f
	)			`[static]`

static const Vector3d kZeroVectord	(	0.	0,
		0.	0,
		0.	0
	)			`[static]`

template<typename Real >

Vector3<Real> operator*	(	Real	k,
		Vector3< Real >	v
	)

template<typename Real >

Real VectorMag ( const Vector3< Real > & v )

template<typename Real >

Real DotProduct	(	const Vector3< Real > &	a,
		const Vector3< Real > &	b
	)

template<typename Real >

Vector3<Real> CrossProduct	(	const Vector3< Real > &	a,
		const Vector3< Real > &	b
	)

template<typename Real >

Vector3<Real> ComputeNormal	(	const Vector3< Real > &	p1,
		const Vector3< Real > &	p2,
		const Vector3< Real > &	p3
	)

template<typename Real >

Real Distance	(	const Vector3< Real > &	a,
		const Vector3< Real > &	b
	)

template<typename Real >

Real DistanceSquared	(	const Vector3< Real > &	a,
		const Vector3< Real > &	b
	)

template<typename Real >

Matrix4x4<Real> operator*	(	const Matrix4x4< Real > &	a,
		const Matrix4x4< Real > &	b
	)

template<typename Real >

Matrix4x4<Real>& operator*=	(	Matrix4x4< Real > &	a,
		const Matrix4x4< Real > &	b
	)

template<typename Real >

Vector3<Real> operator*	(	const Matrix4x4< Real > &	m,
		const Vector3< Real > &	p
	)

template<typename Real >

Matrix4x4<Real> Transpose ( const Matrix4x4< Real > & m )

template<typename Real >

Matrix4x4<Real> Invert ( const Matrix4x4< Real > & m )

template<typename Real >

Matrix4x4<Real> RotationMatrix	(	Axis	axis,
		Real	theta
	)

template<typename Real >

Matrix4x4<Real> RotationMatrix	(	const Vector3< Real > &	axis,
		Real	theta
	)

template<typename Real >

Matrix4x4<Real> TranslationMatrix	(	Real	x,
		Real	y,
		Real	z
	)

template<typename Real >

Matrix4x4<Real> TranslationMatrix ( const Vector3< Real > & v )

template<typename Real >

Matrix4x4<Real> ScaleMatrix ( const Vector3< Real > & s )

template<typename Real >

Matrix4x4<Real> ScaleAlongAxisMatrix	(	const Vector3< Real > &	axis,
		Real	k
	)

template<typename Real >

Matrix4x4<Real> ShearMatrix	(	Axis	axis,
		Real	s,
		Real	t
	)

template<typename Real >

Matrix4x4<Real> ProjectionMatrix ( const Vector3< Real > & n )

template<typename Real >

Matrix4x4<Real> ReflectionMatrix	(	Axis	axis,
		Real	k
	)

template<typename Real >

Matrix4x4<Real> AxisReflectionMatrix ( const Vector3< Real > & n )

template<typename Real >

Matrix4x4<Real> LookAtMatrix	(	const Vector3< Real > &	camPos,
		const Vector3< Real > &	target,
		const Vector3< Real > &	camUp
	)

template<typename Real >

Matrix4x4<Real> FrustumMatrix	(	Real	l,
		Real	r,
		Real	b,
		Real	t,
		Real	n,
		Real	f
	)

template<typename Real >

Matrix4x4<Real> PerspectiveMatrix	(	Real	fovY,
		Real	aspect,
		Real	n,
		Real	f
	)

template<typename Real >

Matrix4x4<Real> OrthoMatrix	(	Real	l,
		Real	r,
		Real	b,
		Real	t,
		Real	n,
		Real	f
	)

template<typename Real >

Matrix4x4<Real> OrthoNormalMatrix	(	const Vector3< Real > &	xdir,
		const Vector3< Real > &	ydir,
		const Vector3< Real > &	zdir
	)

static const Quaternionf kQuaternionIdentityf	(	1.	0f,
		0.	0f,
		0.	0f,
		0.	0f
	)			`[static]`

static const Quaterniond kQuaternionIdentityd	(	1.	0f,
		0.	0f,
		0.	0f,
		0.	0f
	)			`[static]`

template<typename Real >

Quaternion<Real> operator*	(	Real	k,
		const Quaternion< Real > &	q
	)

template<typename Real >

Real DotProduct	(	const Quaternion< Real > &	a,
		const Quaternion< Real > &	b
	)

template<typename Real >

Quaternion<Real> Conjugate ( const Quaternion< Real > & q )

template<typename Real >

Quaternion<Real> Inverse ( const Quaternion< Real > & q )

template<typename Real >

Quaternion<Real> RotationQuaternion	(	Axis	axis,
		Real	theta
	)

template<typename Real >

Quaternion<Real> RotationQuaternion	(	const Vector3< Real > &	axis,
		Real	theta
	)

template<typename Real >

Quaternion<Real> Log ( const Quaternion< Real > & q )

template<typename Real >

Quaternion<Real> Exp ( const Quaternion< Real > & q )

template<typename Real >

Quaternion<Real> Pow	(	const Quaternion< Real > &	q,
		Real	exponent
	)

template<typename Real >

Quaternion<Real> Slerp	(	const Quaternion< Real > &	q0,
		const Quaternion< Real > &	q1,
		Real	t
	)

template<typename Real >

Quaternion<Real> Squad	(	const Quaternion< Real > &	q0,
		const Quaternion< Real > &	qa,
		const Quaternion< Real > &	qb,
		const Quaternion< Real > &	q1,
		Real	t
	)

template<typename Real >

void Intermediate	(	const Quaternion< Real > &	qprev,
		const Quaternion< Real > &	qcurr,
		const Quaternion< Real > &	qnext,
		Quaternion< Real > &	qa,
		Quaternion< Real > &	qb
	)			`[inline]`

Variable Documentation

const float kPi = 3.14159265358979323846f

Definition at line 36 of file Mathlib.h.

const float k2Pi = kPi * 2.0f

Definition at line 37 of file Mathlib.h.

const float kPiOver2 = kPi / 2.0f

Definition at line 38 of file Mathlib.h.

const float k1OverPi = 1.0f / kPi

Definition at line 39 of file Mathlib.h.

const float k1Over2Pi = 1.0f / k2Pi

Definition at line 40 of file Mathlib.h.

const float kPiOver180 = kPi / 180.0f

Definition at line 41 of file Mathlib.h.

const float k180OverPi = 180.0f / kPi

Definition at line 42 of file Mathlib.h.

Mathlib.h File Reference

Classes

Typedefs

Enumerations

Functions

Variables

Typedef Documentation

Enumeration Type Documentation

Function Documentation

Variable Documentation