The QVector4D class represents a vector or vertex in 4D space. More...

#include <qvectornd.h>

Public Member Functions
constexpr	QVector4D () noexcept

	QVector4D (Qt::Initialization) noexcept

constexpr	QVector4D (float xpos, float ypos, float zpos, float wpos) noexcept

constexpr	QVector4D (QPoint point) noexcept

constexpr	QVector4D (QPointF point) noexcept

constexpr	QVector4D (QVector2D vector) noexcept

constexpr	QVector4D (QVector2D vector, float zpos, float wpos) noexcept

constexpr	QVector4D (QVector3D vector) noexcept

constexpr	QVector4D (QVector3D vector, float wpos) noexcept

constexpr bool	isNull () const noexcept

constexpr float	x () const noexcept

constexpr float	y () const noexcept

constexpr float	z () const noexcept

constexpr float	w () const noexcept

constexpr void	setX (float x) noexcept

constexpr void	setY (float y) noexcept

constexpr void	setZ (float z) noexcept

constexpr void	setW (float w) noexcept

constexpr float &	operator[] (int i)

constexpr float	operator[] (int i) const

float	length () const noexcept

constexpr float	lengthSquared () const noexcept

QVector4D	normalized () const noexcept

void	normalize () noexcept

constexpr QVector4D &	operator+= (QVector4D vector) noexcept

constexpr QVector4D &	operator-= (QVector4D vector) noexcept

constexpr QVector4D &	operator*= (float factor) noexcept

constexpr QVector4D &	operator*= (QVector4D vector) noexcept

constexpr QVector4D &	operator/= (float divisor)

constexpr QVector4D &	operator/= (QVector4D vector)

constexpr QVector2D	toVector2D () const noexcept

constexpr QVector2D	toVector2DAffine () const noexcept

constexpr QVector3D	toVector3D () const noexcept

constexpr QVector3D	toVector3DAffine () const noexcept

constexpr QPoint	toPoint () const noexcept

constexpr QPointF	toPointF () const noexcept

Q_GUI_EXPORT	operator QVariant () const

Static Public Member Functions
static constexpr float	dotProduct (QVector4D v1, QVector4D v2) noexcept

Friends
class	QVector2D

class	QVector3D

class	QMatrix4x4

QT_WARNING_PUSH constexpr QT_WARNING_DISABLE_FLOAT_COMPARE friend bool	operator== (QVector4D v1, QVector4D v2) noexcept

constexpr friend bool	operator!= (QVector4D v1, QVector4D v2) noexcept

constexpr QT_WARNING_POP friend QVector4D	operator+ (QVector4D v1, QVector4D v2) noexcept

constexpr friend QVector4D	operator- (QVector4D v1, QVector4D v2) noexcept

constexpr friend QVector4D	operator* (float factor, QVector4D vector) noexcept

constexpr friend QVector4D	operator* (QVector4D vector, float factor) noexcept

constexpr friend QVector4D	operator* (QVector4D v1, QVector4D v2) noexcept

constexpr friend QVector4D	operator- (QVector4D vector) noexcept

constexpr friend QVector4D	operator/ (QVector4D vector, float divisor)

constexpr friend QVector4D	operator/ (QVector4D vector, QVector4D divisor)

Q_GUI_EXPORT bool	qFuzzyCompare (QVector4D v1, QVector4D v2) noexcept

QVector4D	operator* (const QVector4D &vector, const QMatrix4x4 &matrix)

QVector4D	operator* (const QMatrix4x4 &matrix, const QVector4D &vector)

Related Functions
(Note that these are not member functions.)
QDataStream &	operator<< (QDataStream &stream, QVector4D vector)

QDataStream &	operator>> (QDataStream &stream, QVector4D &vector)

Detailed Description

The QVector4D class represents a vector or vertex in 4D space.

Since: 4.6

\inmodule QtGui

Vectors are one of the main building blocks of 4D affine representations of 3D space. They consist of four finite floating-point coordinates, traditionally called x, y, z and w.

The QVector4D class can also be used to represent vertices in 4D space. We therefore do not need to provide a separate vertex class.

See also: QQuaternion, QVector2D, QVector3D

Definition at line 368 of file qvectornd.h.

Constructor & Destructor Documentation

◆ QVector4D() [1/9]

constexpr QVector4D::QVector4D ( )

inlineconstexprnoexcept

Constructs a null vector, i.e. with coordinates (0, 0, 0, 0).

Definition at line 902 of file qvectornd.h.

◆ QVector4D() [2/9]

QVector4D::QVector4D ( Qt::Initialization )

inlineexplicitnoexcept

Since: 5.5

Definition at line 372 of file qvectornd.h.

◆ QVector4D() [3/9]

constexpr QVector4D::QVector4D	(	float	xpos,
		float	ypos,
		float	zpos,
		float	wpos
	)

inlineconstexprnoexcept

Constructs a vector with coordinates (xpos, ypos, zpos, wpos). All parameters must be finite.

Definition at line 904 of file qvectornd.h.

◆ QVector4D() [4/9]

constexpr QVector4D::QVector4D ( QPoint point )

inlineexplicitconstexprnoexcept

Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.

Definition at line 906 of file qvectornd.h.

◆ QVector4D() [5/9]

constexpr QVector4D::QVector4D ( QPointF point )

inlineexplicitconstexprnoexcept

Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.

Definition at line 908 of file qvectornd.h.

◆ QVector4D() [6/9]

constexpr QVector4D::QVector4D ( QVector2D vector )

explicitconstexprnoexcept

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zero.

See also: toVector2D()

Definition at line 911 of file qvectornd.h.

◆ QVector4D() [7/9]

constexpr QVector4D::QVector4D	(	QVector2D	vector,
		float	zpos,
		float	wpos
	)

constexprnoexcept

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zpos and wpos respectively, each of which must be finite.

See also: toVector2D()

Definition at line 912 of file qvectornd.h.

◆ QVector4D() [8/9]

constexpr QVector4D::QVector4D ( QVector3D vector )

explicitconstexprnoexcept

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to zero.

See also: toVector3D()

Definition at line 915 of file qvectornd.h.

◆ QVector4D() [9/9]

constexpr QVector4D::QVector4D	(	QVector3D	vector,
		float	wpos
	)

constexprnoexcept

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to wpos, which must be finite.

See also: toVector3D()

Definition at line 916 of file qvectornd.h.

Member Function Documentation

◆ dotProduct()

constexpr float QVector4D::dotProduct	(	QVector4D	v1,
		QVector4D	v2
	)

staticconstexprnoexcept

Returns the dot product of v1 and v2.

Definition at line 1034 of file qvectornd.h.

◆ isNull()

constexpr bool QVector4D::isNull ( ) const

inlineconstexprnoexcept

Returns true if the x, y, z, and w coordinates are set to 0.0, otherwise returns false.

Definition at line 919 of file qvectornd.h.

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◆ length()

float QVector4D::length ( ) const

inlinenoexcept

Returns the length of the vector from the origin.

See also: lengthSquared(), normalized()

Definition at line 946 of file qvectornd.h.

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◆ lengthSquared()

constexpr float QVector4D::lengthSquared ( ) const

inlineconstexprnoexcept

Returns the squared length of the vector from the origin. This is equivalent to the dot product of the vector with itself.

See also: length(), dotProduct()

Definition at line 951 of file qvectornd.h.

◆ normalize()

void QVector4D::normalize ( )

inlinenoexcept

Normalizes the currect vector in place. Nothing happens if this vector is a null vector or the length of the vector is very close to 1.

See also: length(), normalized()

Definition at line 963 of file qvectornd.h.

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◆ normalized()

QVector4D QVector4D::normalized ( ) const

inlinenoexcept

Returns the normalized unit vector form of this vector.

If this vector is null, then a null vector is returned. If the length of the vector is very close to 1, then the vector will be returned as-is. Otherwise the normalized form of the vector of length 1 will be returned.

See also: length(), normalize()

Definition at line 956 of file qvectornd.h.

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◆ operator QVariant()

QVector4D::operator QVariant ( ) const

Returns the 4D vector as a QVariant.

Definition at line 1612 of file qvectornd.cpp.

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◆ operator*=() [1/2]

constexpr QVector4D & QVector4D::operator*= ( float factor )

inlineconstexprnoexcept

Multiplies this vector's coordinates by the given finite factor, and returns a reference to this vector.

See also: operator/=(), operator*()

Definition at line 993 of file qvectornd.h.

◆ operator*=() [2/2]

constexpr QVector4D & QVector4D::operator*= ( QVector4D vector )

inlineconstexprnoexcept

Multiplies each component of this vector by the corresponding component of vector and returns a reference to this vector.

See also: operator/=(), operator*()

Definition at line 1002 of file qvectornd.h.

◆ operator+=()

constexpr QVector4D & QVector4D::operator+= ( QVector4D vector )

inlineconstexprnoexcept

Adds the given vector to this vector and returns a reference to this vector.

See also: operator-=()

Definition at line 975 of file qvectornd.h.

◆ operator-=()

constexpr QVector4D & QVector4D::operator-= ( QVector4D vector )

inlineconstexprnoexcept

Subtracts the given vector from this vector and returns a reference to this vector.

See also: operator+=()

Definition at line 984 of file qvectornd.h.

◆ operator/=() [1/2]

constexpr QVector4D & QVector4D::operator/= ( float divisor )

inlineconstexpr

Divides this vector's coordinates by the given divisor, and returns a reference to this vector. The divisor must not be either zero or NaN.

See also: operator*=()

Definition at line 1011 of file qvectornd.h.

◆ operator/=() [2/2]

constexpr QVector4D & QVector4D::operator/= ( QVector4D vector )

inlineconstexpr

Since: 5.5

Divides each component of this vector by the corresponding component of vector and returns a reference to this vector.

The vector must have no component that is either zero or NaN.

See also: operator*=(), operator/()

Definition at line 1021 of file qvectornd.h.

◆ operator[]() [1/2]

constexpr float & QVector4D::operator[] ( int i )

inlineconstexpr

Since: 5.2

Returns the component of the vector at index position i as a modifiable reference.

i must be a valid index position in the vector (i.e., 0 <= i < 4).

Definition at line 934 of file qvectornd.h.

◆ operator[]() [2/2]

constexpr float QVector4D::operator[] ( int i ) const

inlineconstexpr

Since: 5.2

Returns the component of the vector at index position i.

i must be a valid index position in the vector (i.e., 0 <= i < 4).

Definition at line 940 of file qvectornd.h.

◆ setW()

constexpr void QVector4D::setW ( float w )

inlineconstexprnoexcept

Sets the w coordinate of this point to the given finite w coordinate.

See also: w(), setX(), setY(), setZ()

Definition at line 932 of file qvectornd.h.

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◆ setX()

constexpr void QVector4D::setX ( float x )

inlineconstexprnoexcept

Sets the x coordinate of this point to the given finite x coordinate.

See also: x(), setY(), setZ(), setW()

Definition at line 929 of file qvectornd.h.

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◆ setY()

constexpr void QVector4D::setY ( float y )

inlineconstexprnoexcept

Sets the y coordinate of this point to the given finite y coordinate.

See also: y(), setX(), setZ(), setW()

Definition at line 930 of file qvectornd.h.

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◆ setZ()

constexpr void QVector4D::setZ ( float z )

inlineconstexprnoexcept

Sets the z coordinate of this point to the given finite z coordinate.

See also: z(), setX(), setY(), setW()

Definition at line 931 of file qvectornd.h.

◆ toPoint()

constexpr QPoint QVector4D::toPoint ( ) const

inlineconstexprnoexcept

Returns the QPoint form of this 4D vector. The z and w coordinates are dropped. The x and y coordinates are rounded to nearest integers.

See also: toPointF(), toVector2D()

Definition at line 1071 of file qvectornd.h.

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◆ toPointF()

constexpr QPointF QVector4D::toPointF ( ) const

inlineconstexprnoexcept

Returns the QPointF form of this 4D vector. The z and w coordinates are dropped.

See also: toPoint(), toVector2D()

Definition at line 1076 of file qvectornd.h.

◆ toVector2D()

constexpr QVector2D QVector4D::toVector2D ( ) const

inlineconstexprnoexcept

Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.

See also: toVector2DAffine(), toVector3D(), toPoint()

Definition at line 1041 of file qvectornd.h.

◆ toVector2DAffine()

constexpr QVector2D QVector4D::toVector2DAffine ( ) const

inlineconstexprnoexcept

Returns the 2D vector form of this 4D vector, dividing the x and y coordinates by the w coordinate and dropping the z coordinate. Returns a null vector if w is zero.

See also: toVector2D(), toVector3DAffine(), toPoint()

Definition at line 1046 of file qvectornd.h.

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◆ toVector3D()

constexpr QVector3D QVector4D::toVector3D ( ) const

inlineconstexprnoexcept

Returns the 3D vector form of this 4D vector, dropping the w coordinate.

See also: toVector3DAffine(), toVector2D(), toPoint()

Definition at line 1057 of file qvectornd.h.

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◆ toVector3DAffine()

constexpr QVector3D QVector4D::toVector3DAffine ( ) const

constexprnoexcept

Returns the 3D vector form of this 4D vector, dividing the x, y, and z coordinates by the w coordinate. Returns a null vector if w is zero.

See also: toVector3D(), toVector2DAffine(), toPoint()

Definition at line 1062 of file qvectornd.h.

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◆ w()

constexpr float QVector4D::w ( ) const

inlineconstexprnoexcept

Returns the w coordinate of this point.

See also: setW(), x(), y(), z()

Definition at line 927 of file qvectornd.h.

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◆ x()

constexpr float QVector4D::x ( ) const

inlineconstexprnoexcept

Returns the x coordinate of this point.

See also: setX(), y(), z(), w()

Definition at line 924 of file qvectornd.h.

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◆ y()

constexpr float QVector4D::y ( ) const

inlineconstexprnoexcept

Returns the y coordinate of this point.

See also: setY(), x(), z(), w()

Definition at line 925 of file qvectornd.h.

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◆ z()

constexpr float QVector4D::z ( ) const

inlineconstexprnoexcept

Returns the z coordinate of this point.

See also: setZ(), x(), y(), w()

Definition at line 926 of file qvectornd.h.

Friends And Related Function Documentation

◆ operator!=

bool QVector4D::operator!=	(	QVector4D	v1,
		QVector4D	v2
	)

friend

Returns true if v1 is not equal to v2; otherwise returns false. This operator uses an exact floating-point comparison.

Definition at line 422 of file qvectornd.h.

◆ operator* [1/5]

QVector4D operator*	(	const QMatrix4x4 &	matrix,
		const QVector4D &	vector
	)

friend

Definition at line 789 of file qmatrix4x4.h.

◆ operator* [2/5]

QVector4D operator*	(	const QVector4D &	vector,
		const QMatrix4x4 &	matrix
	)

friend

Definition at line 767 of file qmatrix4x4.h.

◆ operator* [3/5]

const QVector4D QVector4D::operator*	(	float	factor,
		QVector4D	vector
	)

friend

//! friend

Returns a copy of the given vector, multiplied by the given factor.

See also: QVector4D::operator*=()

Definition at line 437 of file qvectornd.h.

◆ operator* [4/5]

const QVector4D QVector4D::operator*	(	QVector4D	v1,
		QVector4D	v2
	)

friend

//! friend

Returns the QVector4D object formed by multiplying each component of v1 by the corresponding component of v2.

Note: This is not a cross product of v1 and v2 in any sense. (Its components add up to the dot product of v1 and v2.)

See also: QVector4D::operator*=()

Definition at line 447 of file qvectornd.h.

◆ operator* [5/5]

const QVector4D QVector4D::operator*	(	QVector4D	vector,
		float	factor
	)

friend

//! friend

Returns a copy of the given vector, multiplied by the given factor.

See also: QVector4D::operator*=()

Definition at line 442 of file qvectornd.h.

◆ operator+

const QVector4D QVector4D::operator+	(	QVector4D	v1,
		QVector4D	v2
	)

friend

//! friend

Returns a QVector4D object that is the sum of the given vectors, v1 and v2; each component is added separately.

See also: QVector4D::operator+=()

Definition at line 427 of file qvectornd.h.

◆ operator- [1/2]

const QVector4D QVector4D::operator-	(	QVector4D	v1,
		QVector4D	v2
	)

friend

//! friend

Returns a QVector4D object that is formed by subtracting v2 from v1; each component is subtracted separately.

See also: QVector4D::operator-=()

Definition at line 432 of file qvectornd.h.

◆ operator- [2/2]

const QVector4D QVector4D::operator- ( QVector4D vector )

friend

//! friend

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Returns a QVector4D object that is formed by changing the sign of all three components of the given vector.

Equivalent to {QVector4D(0,0,0,0) - vector}.

Definition at line 452 of file qvectornd.h.

◆ operator/ [1/2]

const QVector4D QVector4D::operator/	(	QVector4D	vector,
		float	divisor
	)

friend

//! friend

Returns the QVector4D object formed by dividing each component of the given vector by the given divisor.

The divisor must not be either zero or NaN.

See also: QVector4D::operator/=()

Definition at line 457 of file qvectornd.h.

◆ operator/ [2/2]

const QVector4D QVector4D::operator/	(	QVector4D	vector,
		QVector4D	divisor
	)

friend

//! friend

Since: 5.5

Returns the QVector4D object formed by dividing each component of the given vector by the corresponding component of the given divisor.

The divisor must have no component that is either zero or NaN.

See also: QVector4D::operator/=()

Definition at line 463 of file qvectornd.h.

◆ operator<<()

QDataStream & operator<<	(	QDataStream &	stream,
		QVector4D	vector
	)

See also: {Serializing Qt Data Types}

Definition at line 1642 of file qvectornd.cpp.

◆ operator==

bool QVector4D::operator==	(	QVector4D	v1,
		QVector4D	v2
	)

friend

Returns true if v1 is equal to v2; otherwise returns false. This operator uses an exact floating-point comparison.

Definition at line 417 of file qvectornd.h.

◆ operator>>()

QDataStream & operator>>	(	QDataStream &	stream,
		QVector4D &	vector
	)

See also: {Serializing Qt Data Types}

Definition at line 1659 of file qvectornd.cpp.

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◆ qFuzzyCompare

bool QVector4D::qFuzzyCompare	(	QVector4D	v1,
		QVector4D	v2
	)

friend

//! friend

Returns true if v1 and v2 are equal, allowing for a small fuzziness factor for floating-point comparisons; false otherwise.

Definition at line 1540 of file qvectornd.cpp.

◆ QMatrix4x4

friend class QMatrix4x4

friend

Definition at line 494 of file qvectornd.h.

◆ QVector2D

friend class QVector2D

friend

Definition at line 492 of file qvectornd.h.

◆ QVector3D

friend class QVector3D

friend

Definition at line 493 of file qvectornd.h.

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

src/gui/math3d/qvectornd.h
src/gui/math3d/qvectornd.cpp

Public Member Functions

Static Public Member Functions

Friends

Related Functions

Detailed Description

Constructor & Destructor Documentation

◆ QVector4D() [1/9]

◆ QVector4D() [2/9]

◆ QVector4D() [3/9]

◆ QVector4D() [4/9]

◆ QVector4D() [5/9]

◆ QVector4D() [6/9]

◆ QVector4D() [7/9]

◆ QVector4D() [8/9]

◆ QVector4D() [9/9]

Member Function Documentation

◆ dotProduct()

◆ isNull()

◆ length()

◆ lengthSquared()

◆ normalize()

◆ normalized()

◆ operator QVariant()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+=()

◆ operator-=()

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ setW()

◆ setX()

◆ setY()

◆ setZ()

◆ toPoint()

◆ toPointF()

◆ toVector2D()

◆ toVector2DAffine()

◆ toVector3D()

◆ toVector3DAffine()

◆ w()

◆ x()

◆ y()

◆ z()

Friends And Related Function Documentation

◆ operator!=

◆ operator* [1/5]

◆ operator* [2/5]

◆ operator* [3/5]

◆ operator* [4/5]

◆ operator* [5/5]

◆ operator+

◆ operator- [1/2]

◆ operator- [2/2]

◆ operator/ [1/2]

◆ operator/ [2/2]

◆ operator<<()

◆ operator==

◆ operator>>()

◆ qFuzzyCompare

◆ QMatrix4x4

◆ QVector2D

◆ QVector3D