#include <IceHPoint.h>

Inheritance diagram for HPoint:

Public Member Functions
inline_ HPoint &	Add (float _x, float _y, float _z, float _w)
	Add a vector. More...

inline_ HPoint &	Add (const float f[4])
	Add a vector. More...

inline_	HPoint ()
	Empty constructor. More...

inline_	HPoint (float _x, float _y, float _z, float _w=0.0f)
	Constructor from floats. More...

inline_	HPoint (const float f[4])
	Constructor from array. More...

inline_	HPoint (const Point &p, float _w=0.0f)
	Constructor from a Point. More...

inline_ float	Magnitude () const
	Computes magnitude. More...

float	Max () const
	Returns MAX(x, y, z, w);. More...

HPoint &	Max (const HPoint &p)
	Sets each element to be componentwise maximum. More...

float	Min () const
	Returns MIN(x, y, z, w);. More...

HPoint &	Min (const HPoint &p)
	Sets each element to be componentwise minimum. More...

inline_ HPoint &	Mul (float s)
	Multiplies by a scalar. More...

inline_ HPoint &	Normalize ()
	Normalize the vector. More...

inline_ bool	operator!= (const HPoint &p) const
	Operator for "if(HPoint!=HPoint)". More...

inline_ HPoint	operator* (const HPoint &p) const
	Operator for HPoint Mul = HPoint * HPoint;. More...

inline_ HPoint	operator* (float s) const
	Operator for HPoint Scale = HPoint * float;. More...

Point	operator* (const Matrix3x3 &mat) const
	Operator for Point Mul = HPoint * Matrix3x3;. More...

HPoint	operator* (const Matrix4x4 &mat) const
	Operator for HPoint Mul = HPoint * Matrix4x4;. More...

inline_ HPoint &	operator*= (const HPoint &p)
	Operator for HPoint *= HPoint;. More...

inline_ HPoint &	operator*= (float s)
	Operator for HPoint *= float;. More...

HPoint &	operator*= (const Matrix4x4 &mat)
	Operator for HPoint *= Matrix4x4. More...

inline_ HPoint	operator+ (const HPoint &p) const
	Operator for HPoint Plus = HPoint + HPoint;. More...

inline_ HPoint &	operator+= (const HPoint &p)
	Operator for HPoint += HPoint;. More...

inline_ HPoint &	operator+= (float s)
	Operator for HPoint += float;. More...

inline_ HPoint	operator- () const
	Operator for HPoint Negate = - HPoint;. More...

inline_ HPoint	operator- (const HPoint &p) const
	Operator for HPoint Minus = HPoint - HPoint;. More...

inline_ HPoint &	operator-= (const HPoint &p)
	Operator for HPoint -= HPoint;. More...

inline_ HPoint &	operator-= (float s)
	Operator for HPoint -= float;. More...

inline_ HPoint	operator/ (const HPoint &p) const
	Operator for HPoint Div = HPoint / HPoint;. More...

inline_ HPoint	operator/ (float s) const
	Operator for HPoint Scale = HPoint / float;. More...

inline_ HPoint &	operator/= (const HPoint &p)
	Operator for HPoint /= HPoint;. More...

inline_ HPoint &	operator/= (float s)
	Operator for HPoint /= float;. More...

inline_ bool	operator== (const HPoint &p) const
	Operator for "if(HPoint==HPoint)". More...

inline_ float	operator\| (const HPoint &p) const
	Operator for float DotProd = HPoint \| HPoint;. More...

inline_ HPoint &	Set (float _x, float _y, float _z, float _w)
	Assignment from values. More...

inline_ HPoint &	Set (const float f[4])
	Assignment from array. More...

inline_ HPoint &	Set (const HPoint &src)
	Assignment from another h-point. More...

inline_ float	SquareMagnitude () const
	Computes square magnitude. More...

inline_ HPoint &	Sub (float _x, float _y, float _z, float _w)
	Subtract a vector. More...

inline_ HPoint &	Sub (const float f[4])
	Subtract a vector. More...

inline_ HPoint &	Zero ()
	Clear the point. More...

inline_	~HPoint ()
	Destructor. More...

Public Member Functions inherited from Point
inline_ Point &	Add (const Point &p)
	Adds a vector. More...

inline_ Point &	Add (float _x, float _y, float _z)
	Adds a vector. More...

inline_ Point &	Add (const float f[3])
	Adds a vector. More...

inline_ Point &	Add (const Point &p, const Point &q)
	Adds vectors. More...

inline_ bool	ApproxZero () const
	Checks the point is near zero. More...

inline_ Point &	Clamp (float min, float max)
	Clamps each element. More...

inline_ Point &	ClampLength (float limit_length)
	Clamps vector length. More...

inline_ PointComponent	ClosestAxis () const
	Returns closest axis. More...

inline_ Point &	Cross (const Point &a, const Point &b)
	Cross product this = a x b. More...

inline_ float	Distance (const Point &b) const
	Computes distance to another point. More...

inline_ float	Dot (const Point &p) const
	Dot product dp = this\|a. More...

inline_ udword	GetHashValue () const
	Hash function from Ville Miettinen. More...

inline_ Point &	Herp (const Point &p0, const Point &p1, const Point &p2, const Point &p3, float t)

inline_ Point &	InvTransform (const Point &r, const Matrix3x3 &rotpos, const Point &linpos)
	this = trans(rotpos) * (r - linpos) More...

BOOL	IsNotUsed () const
	Checks the point is marked as not used. More...

inline_ BOOL	IsValid () const
	Checks point validity. More...

inline_ BOOL	IsZero () const
	Tests for exact zero vector. More...

inline_ PointComponent	LargestAxis () const
	Returns largest axis. More...

inline_ Point &	Lerp (const Point &a, const Point &b, float t)
	Linear interpolate between two vectors: this = a + t * (b - a) More...

inline_ Point &	Mac (const Point &a, const Point &b, float scalar)
	this = a + b * scalar More...

inline_ Point &	Mac (const Point &a, float scalar)
	this = this + a * scalar More...

inline_ Point &	Mac (const Matrix3x3 &mat, const Point &a)
	this = this + mat * a More...

inline_ Point &	Mac2 (const Point &a, const Point &b, float scalarb, const Point &c, float scalarc)
	this = a + b * scalarb + c * scalarc More...

inline_ float	Magnitude () const
	Computes magnitude. More...

inline_ float	Max () const
	Returns MAX(x, y, z);. More...

inline_ Point &	Max (const Point &p)
	Sets each element to be componentwise maximum. More...

inline_ float	Min () const
	Returns MIN(x, y, z);. More...

inline_ Point &	Min (const Point &p)
	Sets each element to be componentwise minimum. More...

inline_ Point &	Msc (const Point &a, const Point &b, float scalar)
	this = a - b * scalar More...

inline_ Point &	Msc (const Point &a, float scalar)
	this = this - a * scalar More...

inline_ Point &	Msc2 (const Point &a, const Point &b, float scalarb, const Point &c, float scalarc)
	this = a - b * scalarb - c * scalarc More...

inline_ Point &	Mult (float s)
	Multiplies by a scalar. More...

inline_ Point &	Mult (const Point &a, float scalar)
	this = a * scalar More...

inline_ Point &	Mult (const Matrix3x3 &mat, const Point &a)
	this = mat * a More...

inline_ Point &	Mult2 (const Matrix3x3 &mat1, const Point &a1, const Matrix3x3 &mat2, const Point &a2)
	this = mat1 * a1 + mat2 * a2 More...

inline_ Point &	Neg ()
	this = -this More...

inline_ Point &	Neg (const Point &a)
	this = -a More...

inline_ Point &	Normalize ()
	Normalizes the vector. More...

inline_	operator const float * () const

inline_	operator float * ()

	operator HPoint () const
	Cast a Point to a HPoint. w is set to zero. More...

inline_ bool	operator!= (const Point &p) const
	Operator for "if(Point!=Point)". More...

inline_ Point	operator* (const Point &p) const
	Operator for Point Mul = Point * Point. More...

inline_ Point	operator* (float s) const
	Operator for Point Scale = Point * float. More...

inline_ Point	operator* (const Matrix3x3 &mat) const
	Operator for Point Mul = Point * Matrix3x3. More...

inline_ Point	operator* (const Matrix4x4 &mat) const
	Operator for Point Mul = Point * Matrix4x4. More...

inline_ Point &	operator*= (const Point &p)
	Operator for Point *= Point. More...

inline_ Point &	operator*= (float s)
	Operator for Point *= float. More...

inline_ Point &	operator*= (const Matrix3x3 &mat)
	Operator for Point *= Matrix3x3. More...

inline_ Point &	operator*= (const Matrix4x4 &mat)
	Operator for Point *= Matrix4x4. More...

inline_ Point	operator+ (const Point &p) const
	Operator for Point Plus = Point + Point. More...

inline_ Point &	operator+= (const Point &p)
	Operator for Point += Point. More...

inline_ Point &	operator+= (float s)
	Operator for Point += float. More...

inline_ Point	operator- () const
	Unary operator for Point Negate = - Point. More...

inline_ Point	operator- (const Point &p) const
	Operator for Point Minus = Point - Point. More...

inline_ Point &	operator-= (const Point &p)
	Operator for Point -= Point. More...

inline_ Point &	operator-= (float s)
	Operator for Point -= float. More...

inline_ Point	operator/ (const Point &p) const
	Operator for Point Div = Point / Point. More...

inline_ Point	operator/ (float s) const
	Operator for Point Scale = Point / float. More...

inline_ Point &	operator/= (const Point &p)
	Operator for Point /= Point. More...

inline_ Point &	operator/= (float s)
	Operator for Point /= float. More...

inline_ bool	operator== (const Point &p) const
	Operator for "if(Point==Point)". More...

inline_ Point	operator^ (const Point &p) const
	Operator for Point VecProd = Point ^ Point. More...

inline_ float	operator\| (const Point &p) const
	Operator for float DotProd = Point \| Point. More...

inline_	Point ()
	Empty constructor. More...

inline_	Point (float _x, float _y, float _z)
	Constructor from a single float. More...

inline_	Point (const float f[3])
	Constructor from array. More...

inline_	Point (const Point &p)
	Copy constructor. More...

Point &	PositiveUnitRandomVector ()
	Sets positive unit random vector. More...

Point &	ProjectToPlane (const Plane &p)
	Projects the point onto a plane. More...

void	ProjectToScreen (float halfrenderwidth, float halfrenderheight, const Matrix4x4 &mat, HPoint &projected) const
	Projects the point onto the screen. More...

Point &	Refract (const Point &eye, const Point &n, float refractindex, Point &refracted)
	Refracts the point. More...

inline_ Point &	Set (float _x, float _y, float _z)
	Assignment from values. More...

inline_ Point &	Set (const float f[3])
	Assignment from array. More...

inline_ Point &	Set (const Point &src)
	Assignment from another point. More...

inline_ Point &	SetLength (float length)
	Sets vector length. More...

inline_ Point &	SetMinusInfinity ()

void	SetNotUsed ()
	Stuff magic values in the point, marking it as explicitely not used. More...

inline_ Point &	SetPlusInfinity ()

inline_ PointComponent	SmallestAxis () const
	Returns smallest axis. More...

inline_ float	SquareDistance (const Point &b) const
	Computes square distance to another point. More...

inline_ float	SquareMagnitude () const
	Computes square magnitude. More...

inline_ Point &	Sub (const Point &p)
	Subtracts a vector. More...

inline_ Point &	Sub (float _x, float _y, float _z)
	Subtracts a vector. More...

inline_ Point &	Sub (const float f[3])
	Subtracts a vector. More...

inline_ Point &	Sub (const Point &p, const Point &q)
	Subtracts vectors. More...

inline_ Point &	Transform (const Point &r, const Matrix3x3 &rotpos, const Point &linpos)
	this = rotpos * r + linpos More...

inline_ Point &	TransMult (const Matrix3x3 &mat, const Point &a)
	this = transpose(mat) * a More...

void	Tweak (udword coord_mask, udword tweak_mask)
	Slighty moves the point. More...

inline_ void	TweakBigger ()
	Slighty moves the point out. More...

inline_ void	TweakSmaller ()
	Slighty moves the point in. More...

Point &	Unfold (Plane &p, Point &a, Point &b)
	Unfolds the point onto a plane according to edge(a,b) More...

Point &	UnitRandomVector ()
	Sets unit random vector. More...

inline_ udword	VectorCode () const
	Vector code ( bitmask = sign(z) \| sign(y) \| sign(x) ) More...

inline_ float	Volume () const
	Computes volume. More...

inline_ Point &	Zero ()
	Clears the vector. More...

inline_	~Point ()
	Destructor. More...

Public Attributes
float	w
	Cast a HPoint to a Point. w is discarded. More...

Public Attributes inherited from Point
float	x

float	y

float	z

Friends
inline_ friend HPoint	operator* (float s, const HPoint &p)
	Operator for HPoint Scale = float * HPoint;. More...

inline_ friend HPoint	operator/ (float s, const HPoint &p)
	Operator for HPoint Scale = float / HPoint;. More...

Detailed Description

Homogeneous point.

Use it:

for clipping in homogeneous space (standard way)
to differentiate between points (w=1) and vectors (w=0).
in some cases you can also use it instead of Point for padding reasons.

Author: Pierre Terdiman

Version: 1.0

Warning: No cross-product in 4D.; HPoint *= Matrix3x3 doesn't exist, the matrix is first casted to a 4x4

Definition at line 15 of file IceHPoint.h.

Constructor & Destructor Documentation

◆ HPoint() [1/4]

inline_ HPoint::HPoint ( )

inline

Empty constructor.

Definition at line 20 of file IceHPoint.h.

◆ HPoint() [2/4]

inline_ HPoint::HPoint	(	float	_x,
		float	_y,
		float	_z,
		float	_w = `0.0f`
	)

inline

Constructor from floats.

Definition at line 22 of file IceHPoint.h.

◆ HPoint() [3/4]

inline_ HPoint::HPoint ( const float f[4] )

inline

Constructor from array.

Definition at line 24 of file IceHPoint.h.

◆ HPoint() [4/4]

inline_ HPoint::HPoint	(	const Point &	p,
		float	_w = `0.0f`
	)

inline

Constructor from a Point.

Definition at line 26 of file IceHPoint.h.

◆ ~HPoint()

inline_ HPoint::~HPoint ( )

inline

Destructor.

Definition at line 28 of file IceHPoint.h.

Member Function Documentation

◆ Add() [1/2]

inline_ HPoint& HPoint::Add	(	float	_x,
		float	_y,
		float	_z,
		float	_w
	)

inline

Add a vector.

Definition at line 41 of file IceHPoint.h.

◆ Add() [2/2]

inline_ HPoint& HPoint::Add ( const float f[4] )

inline

Add a vector.

Definition at line 43 of file IceHPoint.h.

◆ Magnitude()

inline_ float HPoint::Magnitude ( ) const

inline

Computes magnitude.

Definition at line 65 of file IceHPoint.h.

◆ Max() [1/2]

float HPoint::Max ( ) const

inline

Returns MAX(x, y, z, w);.

Definition at line 56 of file IceHPoint.h.

◆ Max() [2/2]

HPoint& HPoint::Max ( const HPoint & p )

inline

Sets each element to be componentwise maximum.

Definition at line 60 of file IceHPoint.h.

◆ Min() [1/2]

float HPoint::Min ( ) const

inline

Returns MIN(x, y, z, w);.

Definition at line 54 of file IceHPoint.h.

◆ Min() [2/2]

HPoint& HPoint::Min ( const HPoint & p )

inline

Sets each element to be componentwise minimum.

Definition at line 58 of file IceHPoint.h.

◆ Mul()

inline_ HPoint& HPoint::Mul ( float s )

inline

Multiplies by a scalar.

Definition at line 51 of file IceHPoint.h.

◆ Normalize()

inline_ HPoint& HPoint::Normalize ( )

inline

Normalize the vector.

Definition at line 68 of file IceHPoint.h.

◆ operator!=()

inline_ bool HPoint::operator!= ( const HPoint & p ) const

inline

Operator for "if(HPoint!=HPoint)".

Definition at line 145 of file IceHPoint.h.

◆ operator*() [1/4]

inline_ HPoint HPoint::operator* ( const HPoint & p ) const

inline

Operator for HPoint Mul = HPoint * HPoint;.

Definition at line 92 of file IceHPoint.h.

◆ operator*() [2/4]

inline_ HPoint HPoint::operator* ( float s ) const

inline

Operator for HPoint Scale = HPoint * float;.

Definition at line 94 of file IceHPoint.h.

◆ operator*() [3/4]

Point HPoint::operator* ( const Matrix3x3 & mat ) const

Operator for Point Mul = HPoint * Matrix3x3;.

◆ operator*() [4/4]

HPoint HPoint::operator* ( const Matrix4x4 & mat ) const

Operator for HPoint Mul = HPoint * Matrix4x4;.

◆ operator*=() [1/3]

inline_ HPoint& HPoint::operator*= ( const HPoint & p )

inline

Operator for HPoint *= HPoint;.

Definition at line 120 of file IceHPoint.h.

◆ operator*=() [2/3]

inline_ HPoint& HPoint::operator*= ( float s )

inline

Operator for HPoint *= float;.

Definition at line 122 of file IceHPoint.h.

◆ operator*=() [3/3]

HPoint& HPoint::operator*= ( const Matrix4x4 & mat )

Operator for HPoint *= Matrix4x4.

◆ operator+()

inline_ HPoint HPoint::operator+ ( const HPoint & p ) const

inline

Operator for HPoint Plus = HPoint + HPoint;.

Definition at line 87 of file IceHPoint.h.

◆ operator+=() [1/2]

inline_ HPoint& HPoint::operator+= ( const HPoint & p )

inline

Operator for HPoint += HPoint;.

Definition at line 110 of file IceHPoint.h.

◆ operator+=() [2/2]

inline_ HPoint& HPoint::operator+= ( float s )

inline

Operator for HPoint += float;.

Definition at line 112 of file IceHPoint.h.

◆ operator-() [1/2]

inline_ HPoint HPoint::operator- ( ) const

inline

Operator for HPoint Negate = - HPoint;.

Definition at line 84 of file IceHPoint.h.

◆ operator-() [2/2]

inline_ HPoint HPoint::operator- ( const HPoint & p ) const

inline

Operator for HPoint Minus = HPoint - HPoint;.

Definition at line 89 of file IceHPoint.h.

◆ operator-=() [1/2]

inline_ HPoint& HPoint::operator-= ( const HPoint & p )

inline

Operator for HPoint -= HPoint;.

Definition at line 115 of file IceHPoint.h.

◆ operator-=() [2/2]

inline_ HPoint& HPoint::operator-= ( float s )

inline

Operator for HPoint -= float;.

Definition at line 117 of file IceHPoint.h.

◆ operator/() [1/2]

inline_ HPoint HPoint::operator/ ( const HPoint & p ) const

inline

Operator for HPoint Div = HPoint / HPoint;.

Definition at line 99 of file IceHPoint.h.

◆ operator/() [2/2]

inline_ HPoint HPoint::operator/ ( float s ) const

inline

Operator for HPoint Scale = HPoint / float;.

Definition at line 101 of file IceHPoint.h.

◆ operator/=() [1/2]

inline_ HPoint& HPoint::operator/= ( const HPoint & p )

inline

Operator for HPoint /= HPoint;.

Definition at line 125 of file IceHPoint.h.

◆ operator/=() [2/2]

inline_ HPoint& HPoint::operator/= ( float s )

inline

Operator for HPoint /= float;.

Definition at line 127 of file IceHPoint.h.

◆ operator==()

inline_ bool HPoint::operator== ( const HPoint & p ) const

inline

Operator for "if(HPoint==HPoint)".

Definition at line 143 of file IceHPoint.h.

◆ operator|()

inline_ float HPoint::operator| ( const HPoint & p ) const

inline

Operator for float DotProd = HPoint | HPoint;.

Definition at line 106 of file IceHPoint.h.

◆ Set() [1/3]

inline_ HPoint& HPoint::Set	(	float	_x,
		float	_y,
		float	_z,
		float	_w
	)

inline

Assignment from values.

Definition at line 34 of file IceHPoint.h.

◆ Set() [2/3]

inline_ HPoint& HPoint::Set ( const float f[4] )

inline

Assignment from array.

Definition at line 36 of file IceHPoint.h.

◆ Set() [3/3]

inline_ HPoint& HPoint::Set ( const HPoint & src )

inline

Assignment from another h-point.

Definition at line 38 of file IceHPoint.h.

◆ SquareMagnitude()

inline_ float HPoint::SquareMagnitude ( ) const

inline

Computes square magnitude.

Definition at line 63 of file IceHPoint.h.

◆ Sub() [1/2]

inline_ HPoint& HPoint::Sub	(	float	_x,
		float	_y,
		float	_z,
		float	_w
	)

inline

Subtract a vector.

Definition at line 46 of file IceHPoint.h.

◆ Sub() [2/2]

inline_ HPoint& HPoint::Sub ( const float f[4] )

inline

Subtract a vector.

Definition at line 48 of file IceHPoint.h.

◆ Zero()

inline_ HPoint& HPoint::Zero ( )

inline

Clear the point.

Definition at line 31 of file IceHPoint.h.

Friends And Related Function Documentation

◆ operator*

inline_ friend HPoint operator*	(	float	s,
		const HPoint &	p
	)

friend

Operator for HPoint Scale = float * HPoint;.

Definition at line 96 of file IceHPoint.h.

◆ operator/

inline_ friend HPoint operator/	(	float	s,
		const HPoint &	p
	)

friend

Operator for HPoint Scale = float / HPoint;.

Definition at line 103 of file IceHPoint.h.

Member Data Documentation

◆ w

float HPoint::w

Cast a HPoint to a Point. w is discarded.

Definition at line 156 of file IceHPoint.h.

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

IceHPoint.h

Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ HPoint() [1/4]

◆ HPoint() [2/4]

◆ HPoint() [3/4]

◆ HPoint() [4/4]

◆ ~HPoint()

Member Function Documentation

◆ Add() [1/2]

◆ Add() [2/2]

◆ Magnitude()

◆ Max() [1/2]

◆ Max() [2/2]

◆ Min() [1/2]

◆ Min() [2/2]

◆ Mul()

◆ Normalize()

◆ operator!=()

◆ operator*() [1/4]

◆ operator*() [2/4]

◆ operator*() [3/4]

◆ operator*() [4/4]

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+()

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/() [1/2]

◆ operator/() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator==()

◆ operator|()

◆ Set() [1/3]

◆ Set() [2/3]

◆ Set() [3/3]

◆ SquareMagnitude()

◆ Sub() [1/2]

◆ Sub() [2/2]

◆ Zero()

Friends And Related Function Documentation

◆ operator*

◆ operator/

Member Data Documentation

◆ w