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QVector4D Class

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

This class was introduced in Qt 4.6.

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QVector4D Class

  • Header: QVector4D

  • Since: Qt 4.6

  • qmake: QT += gui

  • Group: QVector4D is part of Rendering in 3D

Detailed Description

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

Member Function Documentation

 

QVector4D::QVector4D()

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

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

Constructs a vector with coordinates (xpos, ypos, zpos, wpos).

QVector4D::QVector4D(const QPoint &point)

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

QVector4D::QVector4D(const QPointF &point)

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

QVector4D::QVector4D(const QVector2D &vector)

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

See Also

See also toVector2D()

QVector4D::QVector4D(const QVector2D &vector, float zpos, float wpos)

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

See Also

See also toVector2D()

QVector4D::QVector4D(const QVector3D &vector)

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

See Also

See also toVector3D()

QVector4D::QVector4D(const QVector3D &vector, float wpos)

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

See Also

See also toVector3D()

[static] float QVector4D::dotProduct(const QVector4D &v1, const QVector4D &v2)

Returns the dot product of v1 and v2.

bool QVector4D::isNull() const

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

float QVector4D::length() const

Returns the length of the vector from the origin.

See Also

See also lengthSquared(), normalized()

float QVector4D::lengthSquared() const

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

See Also

See also length(), dotProduct()

void QVector4D::normalize()

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

See also length(), normalized()

QVector4D QVector4D::normalized() const

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

See also length(), normalize()

void QVector4D::setW(float w)

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

See Also

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

void QVector4D::setX(float x)

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

See Also

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

void QVector4D::setY(float y)

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

See Also

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

void QVector4D::setZ(float z)

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

See Also

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

QPoint QVector4D::toPoint() const

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

See Also

See also toPointF(), toVector2D()

QPointF QVector4D::toPointF() const

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

See Also

See also toPoint(), toVector2D()

QVector2D QVector4D::toVector2D() const

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

See Also

QVector2D QVector4D::toVector2DAffine() const

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

QVector3D QVector4D::toVector3D() const

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

See Also

QVector3D QVector4D::toVector3DAffine() const

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

float QVector4D::w() const

Returns the w coordinate of this point.

See Also

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

float QVector4D::x() const

Returns the x coordinate of this point.

See Also

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

float QVector4D::y() const

Returns the y coordinate of this point.

See Also

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

float QVector4D::z() const

Returns the z coordinate of this point.

See Also

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

QVariant QVector4D::operator QVariant() const

Returns the 4D vector as a QVariant.

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

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

See Also

See also operator/=()

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

Multiplies the components of this vector by the corresponding components in vector.

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

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

See Also

See also operator-=()

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

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

See Also

See also operator+=()

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

Divides this vector's coordinates by the given divisor, and returns a reference to this vector.

See Also

See also operator*=()

[since 5.5] QVector4D &QVector4D::operator/=(const QVector4D &vector)

Divides the components of this vector by the corresponding components in vector.

This function was introduced in Qt 5.5.

See Also

See also operator*=()

[since 5.2] float &QVector4D::operator[](int i)

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).

This function was introduced in Qt 5.2.

[since 5.2] float QVector4D::operator[](int i) const

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).

This function was introduced in Qt 5.2.

Related Non-Members

 

bool qFuzzyCompare(const QVector4D &v1, const QVector4D &v2)

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

bool operator!=(const QVector4D &v1, const QVector4D &v2)

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

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

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

See Also

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

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

See Also

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

Returns the vector consisting of the multiplication of the components from v1 and v2.

See Also

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

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

See Also

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

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

See Also

const QVector4D operator-(const QVector4D &vector)

This is an overloaded function.

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.

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

Returns the QVector4D object formed by dividing all four components of the given vector by the given divisor.

See Also

[since 5.5] const QVector4D operator/(const QVector4D &vector, const QVector4D &divisor)

Returns the QVector4D object formed by dividing components of the given vector by a respective components of the given divisor.

This function was introduced in Qt 5.5.

See Also

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

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

See Also

bool operator==(const QVector4D &v1, const QVector4D &v2)

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

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

Reads a 4D vector from the given stream into the given vector and returns a reference to the stream.

See Also

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