QVector4D Class
The QVector4D class represents a vector or vertex in 4D space. More...
| Header: | #include <QVector4D> |
| qmake: | QT += gui |
| Since: | Qt 4.6 |
Public Functions
| QVector4D() | |
| QVector4D(float xpos, float ypos, float zpos, float wpos) | |
| QVector4D(const QPoint & point) | |
| QVector4D(const QPointF & point) | |
| QVector4D(const QVector2D & vector) | |
| QVector4D(const QVector2D & vector, float zpos, float wpos) | |
| QVector4D(const QVector3D & vector) | |
| QVector4D(const QVector3D & vector, float wpos) | |
| bool | isNull() const |
| float | length() const |
| float | lengthSquared() const |
| void | normalize() |
| QVector4D | normalized() const |
| void | setW(float w) |
| void | setX(float x) |
| void | setY(float y) |
| void | setZ(float z) |
| QPoint | toPoint() const |
| QPointF | toPointF() const |
| QVector2D | toVector2D() const |
| QVector2D | toVector2DAffine() const |
| QVector3D | toVector3D() const |
| QVector3D | toVector3DAffine() const |
| float | w() const |
| float | x() const |
| float | y() const |
| float | z() const |
| operator QVariant() const | |
| QVector4D & | operator*=(float factor) |
| QVector4D & | operator*=(const QVector4D & vector) |
| QVector4D & | operator+=(const QVector4D & vector) |
| QVector4D & | operator-=(const QVector4D & vector) |
| QVector4D & | operator/=(float divisor) |
| float & | operator[](int i) |
| float | operator[](int i) const |
Static Public Members
| float | dotProduct(const QVector4D & v1, const QVector4D & v2) |
Related Non-Members
| bool | qFuzzyCompare(const QVector4D & v1, const QVector4D & v2) |
| bool | operator!=(const QVector4D & v1, const QVector4D & v2) |
| const QVector4D | operator*(float factor, const QVector4D & vector) |
| const QVector4D | operator*(const QVector4D & vector, float factor) |
| const QVector4D | operator*(const QVector4D & v1, const QVector4D & v2) |
| const QVector4D | operator+(const QVector4D & v1, const QVector4D & v2) |
| const QVector4D | operator-(const QVector4D & v1, const QVector4D & v2) |
| const QVector4D | operator-(const QVector4D & vector) |
| const QVector4D | operator/(const QVector4D & vector, float divisor) |
| QDataStream & | operator<<(QDataStream & stream, const QVector4D & vector) |
| bool | operator==(const QVector4D & v1, const QVector4D & v2) |
| QDataStream & | operator>>(QDataStream & stream, QVector4D & vector) |
Detailed Description
The QVector4D class represents a vector or vertex in 4D space.
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, and QVector3D.
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 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 toVector2D().
QVector4D::QVector4D(const QVector3D & vector)
Constructs a 4D vector from the specified 3D vector. The w coordinate is set to zero.
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 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 lengthSquared() and 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 length() and 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 length() and 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 length() and normalize().
void QVector4D::setW(float w)
Sets the w coordinate of this point to the given w coordinate.
See also w(), setX(), setY(), and setZ().
void QVector4D::setX(float x)
Sets the x coordinate of this point to the given x coordinate.
See also x(), setY(), setZ(), and setW().
void QVector4D::setY(float y)
Sets the y coordinate of this point to the given y coordinate.
See also y(), setX(), setZ(), and setW().
void QVector4D::setZ(float z)
Sets the z coordinate of this point to the given z coordinate.
See also z(), setX(), setY(), and setW().
QPoint QVector4D::toPoint() const
Returns the QPoint form of this 4D vector. The z and w coordinates are dropped.
See also toPointF() and toVector2D().
QPointF QVector4D::toPointF() const
Returns the QPointF form of this 4D vector. The z and w coordinates are dropped.
See also toPoint() and toVector2D().
QVector2D QVector4D::toVector2D() const
Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.
See also toVector2DAffine(), toVector3D(), and toPoint().
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 toVector2D(), toVector3DAffine(), and toPoint().
QVector3D QVector4D::toVector3D() const
Returns the 3D vector form of this 4D vector, dropping the w coordinate.
See also toVector3DAffine(), toVector2D(), and toPoint().
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 toVector3D(), toVector2DAffine(), and toPoint().
float QVector4D::w() const
Returns the w coordinate of this point.
See also setW(), x(), y(), and z().
float QVector4D::x() const
Returns the x coordinate of this point.
See also setX(), y(), z(), and w().
float QVector4D::y() const
Returns the y coordinate of this point.
See also setY(), x(), z(), and w().
float QVector4D::z() const
Returns the z coordinate of this point.
See also setZ(), x(), y(), and w().
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 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 operator-=().
QVector4D & QVector4D::operator-=(const QVector4D & vector)
Subtracts the given vector from this vector and returns a reference to this vector.
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 operator*=().
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.
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 QVector4D::operator*=().
const QVector4D operator*(const QVector4D & vector, float factor)
Returns a copy of the given vector, multiplied by the given factor.
See also QVector4D::operator*=().
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 QVector4D::operator*=().
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 QVector4D::operator+=().
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 QVector4D::operator-=().
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 QVector4D::operator/=().
QDataStream & operator<<(QDataStream & stream, const QVector4D & vector)
Writes the given vector to the given stream and returns a reference to the stream.
See also Serializing Qt Data Types.
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 Serializing Qt Data Types.
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