The QVector2D class represents a vector or vertex in 2D space. More...

#include <qvectornd.h>

Inheritance diagram for QVector2D:

Collaboration diagram for QVector2D:

Public Member Functions
constexpr	QVector2D () noexcept
	Constructs a null vector, i.e.
	QVector2D (Qt::Initialization) noexcept
constexpr	QVector2D (float xpos, float ypos) noexcept
	Constructs a vector with coordinates (xpos, ypos).
constexpr	QVector2D (QPoint point) noexcept
	Constructs a vector with x and y coordinates from a 2D point.
constexpr	QVector2D (QPointF point) noexcept
	Constructs a vector with x and y coordinates from a 2D point.
constexpr	QVector2D (QVector3D vector) noexcept
	Constructs a vector with x and y coordinates from a 3D vector.
constexpr	QVector2D (QVector4D vector) noexcept
	Constructs a vector with x and y coordinates from a 3D vector.
constexpr bool	isNull () const noexcept
	Returns `true` if the x and y coordinates are set to 0.0, otherwise returns `false`.
constexpr float	x () const noexcept
	Returns the x coordinate of this point.
constexpr float	y () const noexcept
	Returns the y coordinate of this point.
constexpr void	setX (float x) noexcept
	Sets the x coordinate of this point to the given finite x coordinate.
constexpr void	setY (float y) noexcept
	Sets the y coordinate of this point to the given finite y coordinate.
constexpr float &	operator[] (int i)
constexpr float	operator[] (int i) const
float	length () const noexcept
	Returns the length of the vector from the origin.
constexpr float	lengthSquared () const noexcept
	Returns the squared length of the vector from the origin.
QVector2D	normalized () const noexcept
	Returns the normalized unit vector form of this vector.
void	normalize () noexcept
	Normalizes the current vector in place.
float	distanceToPoint (QVector2D point) const noexcept
float	distanceToLine (QVector2D point, QVector2D direction) const noexcept
constexpr QVector2D &	operator+= (QVector2D vector) noexcept
	Adds the given vector to this vector and returns a reference to this vector.
constexpr QVector2D &	operator-= (QVector2D vector) noexcept
	Subtracts the given vector from this vector and returns a reference to this vector.
constexpr QVector2D &	operator*= (float factor) noexcept
	Multiplies this vector's coordinates by the given finite factor and returns a reference to this vector.
constexpr QVector2D &	operator*= (QVector2D vector) noexcept
	Multiplies each component of this vector by the corresponding component of vector and returns a reference to this vector.
constexpr QVector2D &	operator/= (float divisor)
	Divides this vector's coordinates by the given divisor and returns a reference to this vector.
constexpr QVector2D &	operator/= (QVector2D vector)
constexpr QVector3D	toVector3D () const noexcept
	Returns the 3D form of this 2D vector, with the z coordinate set to zero.
constexpr QVector4D	toVector4D () const noexcept
	Returns the 4D form of this 2D vector, with the z and w coordinates set to zero.
constexpr QPoint	toPoint () const noexcept
	Returns the QPoint form of this 2D vector.
constexpr QPointF	toPointF () const noexcept
	Returns the QPointF form of this 2D vector.
Q_GUI_EXPORT	operator QVariant () const
	Returns the 2D vector as a QVariant.

Static Public Member Functions
static constexpr float	dotProduct (QVector2D v1, QVector2D v2) noexcept
	Returns the dot product of v1 and v2.

Friends
class	QVector3D
class	QVector4D
QT_WARNING_PUSH QT_WARNING_DISABLE_FLOAT_COMPARE constexpr friend bool	operator== (QVector2D v1, QVector2D v2) noexcept
	Returns `true` if v1 is equal to v2; otherwise returns `false`.
constexpr friend bool	operator!= (QVector2D v1, QVector2D v2) noexcept
	Returns `true` if v1 is not equal to v2; otherwise returns `false`.
QT_WARNING_POP constexpr friend QVector2D	operator+ (QVector2D v1, QVector2D v2) noexcept
	//!
constexpr friend QVector2D	operator- (QVector2D v1, QVector2D v2) noexcept
	//!
constexpr friend QVector2D	operator* (float factor, QVector2D vector) noexcept
	//!
constexpr friend QVector2D	operator* (QVector2D vector, float factor) noexcept
	//!
constexpr friend QVector2D	operator* (QVector2D v1, QVector2D v2) noexcept
	//!
constexpr friend QVector2D	operator- (QVector2D vector) noexcept
	//!
constexpr friend QVector2D	operator/ (QVector2D vector, float divisor)
	//!
constexpr friend QVector2D	operator/ (QVector2D vector, QVector2D divisor)
	//!
Q_GUI_EXPORT bool	qFuzzyCompare (QVector2D v1, QVector2D v2)
	//!
template<std::size_t I, typename V, std::enable_if_t<(I< 2), bool > = true, std::enable_if_t< std::is_same_v< q20::remove_cvref_t< V >, QVector2D >, bool > = true>
constexpr decltype(auto)	get (V &&vec) noexcept

Related Symbols
(Note that these are not member symbols.)
QDataStream &	operator<< (QDataStream &stream, QVector2D vector)
	Writes the given vector to the given stream and returns a reference to the stream.
QDataStream &	operator>> (QDataStream &stream, QVector2D &vector)
	Reads a 2D vector from the given stream into the given vector and returns a reference to the stream.

Detailed Description

The QVector2D class represents a vector or vertex in 2D space.

Since: 4.6

\inmodule QtGui

Vectors are one of the main building blocks of 2D representation and drawing. They consist of two finite floating-point coordinates, traditionally called x and y.

The QVector2D class can also be used to represent vertices in 2D space. We therefore do not need to provide a separate vertex class.

See also: QVector3D, QVector4D, QQuaternion

Definition at line 31 of file qvectornd.h.

Constructor & Destructor Documentation

◆ QVector2D() [1/7]

QVector2D::QVector2D ( )

inlineconstexprnoexcept

Constructs a null vector, i.e.

with coordinates (0, 0).

Definition at line 482 of file qvectornd.h.

Referenced by normalized(), and QVector4D::toVector2DAffine().

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◆ QVector2D() [2/7]

QVector2D::QVector2D ( Qt::Initialization )

inlineexplicitnoexcept

Since: 5.5

Constructs a vector without initializing the contents.

Definition at line 35 of file qvectornd.h.

◆ QVector2D() [3/7]

QVector2D::QVector2D	(	float	xpos,
		float	ypos )

inlineconstexprnoexcept

Constructs a vector with coordinates (xpos, ypos).

Both coordinates must be finite.

Definition at line 484 of file qvectornd.h.

◆ QVector2D() [4/7]

QVector2D::QVector2D ( QPoint point )

inlineexplicitconstexprnoexcept

Constructs a vector with x and y coordinates from a 2D point.

Definition at line 486 of file qvectornd.h.

◆ QVector2D() [5/7]

QVector2D::QVector2D ( QPointF point )

inlineexplicitconstexprnoexcept

Constructs a vector with x and y coordinates from a 2D point.

Definition at line 488 of file qvectornd.h.

◆ QVector2D() [6/7]

QVector2D::QVector2D ( QVector3D vector )

inlineexplicitconstexprnoexcept

Constructs a vector with x and y coordinates from a 3D vector.

The z coordinate of vector is dropped.

See also: toVector3D()

Definition at line 491 of file qvectornd.h.

References QVector3D::operator[]().

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◆ QVector2D() [7/7]

QVector2D::QVector2D ( QVector4D vector )

inlineexplicitconstexprnoexcept

Constructs a vector with x and y coordinates from a 3D vector.

The z and w coordinates of vector are dropped.

See also: toVector4D()

Definition at line 494 of file qvectornd.h.

References QVector4D::operator[]().

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Member Function Documentation

◆ distanceToLine()

float QVector2D::distanceToLine	(	QVector2D	point,
		QVector2D	direction ) const

inlinenodiscardnoexcept

Since: 5.1

Returns the distance that this vertex is from a line defined by point and the unit vector direction.

If direction is a null vector, then it does not define a line. In that case, the distance from point to this vertex is returned.

See also: distanceToPoint()

Definition at line 552 of file qvectornd.h.

References dotProduct(), and isNull().

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◆ distanceToPoint()

float QVector2D::distanceToPoint ( QVector2D point ) const

inlinenodiscardnoexcept

Since: 5.1

Returns the distance from this vertex to a point defined by the vertex point.

See also: distanceToLine()

Definition at line 547 of file qvectornd.h.

◆ dotProduct()

float QVector2D::dotProduct	(	QVector2D	v1,
		QVector2D	v2 )

inlinestaticnodiscardconstexprnoexcept

Returns the dot product of v1 and v2.

Definition at line 605 of file qvectornd.h.

Referenced by distanceToLine().

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◆ isNull()

bool QVector2D::isNull ( ) const

inlineconstexprnoexcept

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

Definition at line 497 of file qvectornd.h.

Referenced by distanceToLine().

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◆ length()

float QVector2D::length ( ) const

inlinenodiscardnoexcept

Returns the length of the vector from the origin.

See also: lengthSquared(), normalized()

Definition at line 520 of file qvectornd.h.

Referenced by normalize(), and normalized().

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◆ lengthSquared()

float QVector2D::lengthSquared ( ) const

inlinenodiscardconstexprnoexcept

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 525 of file qvectornd.h.

◆ normalize()

void QVector2D::normalize ( )

inlinenoexcept

Normalizes the current 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 537 of file qvectornd.h.

References length().

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◆ normalized()

QVector2D QVector2D::normalized ( ) const

inlinenodiscardnoexcept

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 530 of file qvectornd.h.

References QVector2D(), and length().

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◆ operator QVariant()

QVector2D::operator QVariant ( ) const

Returns the 2D vector as a QVariant.

Definition at line 423 of file qvectornd.cpp.

◆ operator*=() [1/2]

QVector2D & QVector2D::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 574 of file qvectornd.h.

◆ operator*=() [2/2]

QVector2D & QVector2D::operator*= ( QVector2D vector )

inlineconstexprnoexcept

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

Note: This is not a cross product of this vector with vector. (Its components add up to the dot product of this vector and vector.)

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

Definition at line 581 of file qvectornd.h.

◆ operator+=()

QVector2D & QVector2D::operator+= ( QVector2D vector )

inlineconstexprnoexcept

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

See also: operator-=()

Definition at line 560 of file qvectornd.h.

◆ operator-=()

QVector2D & QVector2D::operator-= ( QVector2D vector )

inlineconstexprnoexcept

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

See also: operator+=()

Definition at line 567 of file qvectornd.h.

◆ operator/=() [1/2]

QVector2D & QVector2D::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 588 of file qvectornd.h.

◆ operator/=() [2/2]

QVector2D & QVector2D::operator/= ( QVector2D 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 596 of file qvectornd.h.

◆ operator[]() [1/2]

float & QVector2D::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 < 2).

Definition at line 508 of file qvectornd.h.

Referenced by QVector3D::QVector3D(), QVector3D::QVector3D(), QVector4D::QVector4D(), and QVector4D::QVector4D().

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◆ operator[]() [2/2]

float QVector2D::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 < 2).

Definition at line 514 of file qvectornd.h.

◆ setX()

void QVector2D::setX ( float x )

inlineconstexprnoexcept

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

See also: x(), setY()

Definition at line 505 of file qvectornd.h.

Referenced by operator>>().

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◆ setY()

void QVector2D::setY ( float y )

inlineconstexprnoexcept

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

See also: y(), setX()

Definition at line 506 of file qvectornd.h.

Referenced by operator>>().

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◆ toPoint()

QPoint QVector2D::toPoint ( ) const

inlineconstexprnoexcept

Returns the QPoint form of this 2D vector.

Each coordinate is rounded to the nearest integer.

See also: toPointF(), toVector3D()

Definition at line 624 of file qvectornd.h.

◆ toPointF()

QPointF QVector2D::toPointF ( ) const

inlineconstexprnoexcept

Returns the QPointF form of this 2D vector.

See also: toPoint(), toVector3D()

Definition at line 629 of file qvectornd.h.

◆ toVector3D()

QVector3D QVector2D::toVector3D ( ) const

inlineconstexprnoexcept

Returns the 3D form of this 2D vector, with the z coordinate set to zero.

See also: toVector4D(), toPoint()

Definition at line 611 of file qvectornd.h.

◆ toVector4D()

QVector4D QVector2D::toVector4D ( ) const

inlineconstexprnoexcept

Returns the 4D form of this 2D vector, with the z and w coordinates set to zero.

See also: toVector3D(), toPoint()

Definition at line 617 of file qvectornd.h.

◆ x()

float QVector2D::x ( ) const

inlineconstexprnoexcept

Returns the x coordinate of this point.

See also: setX(), y()

Definition at line 502 of file qvectornd.h.

Referenced by operator<<(), and operator<<().

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◆ y()

float QVector2D::y ( ) const

inlineconstexprnoexcept

Returns the y coordinate of this point.

See also: setY(), x()

Definition at line 503 of file qvectornd.h.

Referenced by operator<<(), and operator<<().

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◆ get

template<std::size_t I, typename V, std::enable_if_t<(I< 2), bool > = true, std::enable_if_t< std::is_same_v< q20::remove_cvref_t< V >, QVector2D >, bool > = true>

decltype(auto) get ( V && vec )

friend

Definition at line 155 of file qvectornd.h.

◆ operator!=

friend bool operator!=	(	QVector2D	v1,
		QVector2D	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 82 of file qvectornd.h.

◆ operator* [1/3]

friend QVector2D operator*	(	float	factor,
		QVector2D	vector )

friend

//!

friend

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

See also: QVector2D::operator*=()

Definition at line 98 of file qvectornd.h.

◆ operator* [2/3]

friend QVector2D operator*	(	QVector2D	v1,
		QVector2D	v2 )

friend

//!

friend

Returns the QVector2D 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: QVector2D::operator*=()

Definition at line 108 of file qvectornd.h.

◆ operator* [3/3]

friend QVector2D operator*	(	QVector2D	vector,
		float	factor )

friend

//!

friend

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

See also: QVector2D::operator*=()

Definition at line 103 of file qvectornd.h.

◆ operator+

QT_WARNING_POP constexpr friend QVector2D operator+	(	QVector2D	v1,
		QVector2D	v2 )

friend

//!

friend

Returns a QVector2D object that is the sum of the given vectors, v1 and v2; each component is added separately.

See also: QVector2D::operator+=()

Definition at line 88 of file qvectornd.h.

◆ operator- [1/2]

friend QVector2D operator-	(	QVector2D	v1,
		QVector2D	v2 )

friend

//!

friend

Returns a QVector2D object that is formed by subtracting v2 from v1; each component is subtracted separately.

See also: QVector2D::operator-=()

Definition at line 93 of file qvectornd.h.

◆ operator- [2/2]

friend QVector2D operator- ( QVector2D 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 QVector2D object that is formed by changing the sign of each component of the given vector.

Equivalent to {QVector2D(0,0) - vector}.

Definition at line 113 of file qvectornd.h.

◆ operator/ [1/2]

friend QVector2D operator/	(	QVector2D	vector,
		float	divisor )

friend

//!

friend

Returns the QVector2D 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: QVector2D::operator/=()

Definition at line 118 of file qvectornd.h.

◆ operator/ [2/2]

friend QVector2D operator/	(	QVector2D	vector,
		QVector2D	divisor )

friend

//!

friend

Since: 5.5

Returns the QVector2D 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: QVector2D::operator/=()

Definition at line 124 of file qvectornd.h.

◆ operator<<()

QDataStream & operator<<	(	QDataStream &	stream,
		QVector2D	vector )

Writes the given vector to the given stream and returns a reference to the stream.

See also: {Serializing Qt Data Types}

Definition at line 451 of file qvectornd.cpp.

References x(), and y().

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◆ operator==

QT_WARNING_PUSH QT_WARNING_DISABLE_FLOAT_COMPARE constexpr friend bool operator==	(	QVector2D	v1,
		QVector2D	v2 )

friend

Returns true if v1 is equal to v2; otherwise returns false.

This operator uses an exact floating-point comparison.

Definition at line 77 of file qvectornd.h.

◆ operator>>()

QDataStream & operator>>	(	QDataStream &	stream,
		QVector2D &	vector )

Reads a 2D vector from the given stream into the given vector and returns a reference to the stream.

See also: {Serializing Qt Data Types}

Definition at line 467 of file qvectornd.cpp.

References setX(), and setY().

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◆ qFuzzyCompare

Q_GUI_EXPORT bool qFuzzyCompare	(	QVector2D	v1,
		QVector2D	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 377 of file qvectornd.cpp.

◆ QVector3D

friend class QVector3D

friend

Definition at line 148 of file qvectornd.h.

◆ QVector4D

friend class QVector4D

friend

Definition at line 149 of file qvectornd.h.

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

qtbase/src/gui/math3d/qvectornd.h (4ab67bec883f336cd84614f44fd47521cf103f6d)
qtbase/src/gui/math3d/qvectornd.cpp (4ab67bec883f336cd84614f44fd47521cf103f6d)

Public Member Functions

Static Public Member Functions

Friends

Related Symbols

Detailed Description

Constructor & Destructor Documentation

◆ QVector2D() [1/7]

◆ QVector2D() [2/7]

◆ QVector2D() [3/7]

◆ QVector2D() [4/7]

◆ QVector2D() [5/7]

◆ QVector2D() [6/7]

◆ QVector2D() [7/7]

Member Function Documentation

◆ distanceToLine()

◆ distanceToPoint()

◆ 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]

◆ setX()

◆ setY()

◆ toPoint()

◆ toPointF()

◆ toVector3D()

◆ toVector4D()

◆ x()

◆ y()

Friends And Related Symbol Documentation

◆ get

◆ operator!=

◆ operator* [1/3]

◆ operator* [2/3]

◆ operator* [3/3]

◆ operator+

◆ operator- [1/2]

◆ operator- [2/2]

◆ operator/ [1/2]

◆ operator/ [2/2]

◆ operator<<()

◆ operator==

◆ operator>>()

◆ qFuzzyCompare

◆ QVector3D

◆ QVector4D