The QVector4D class represents a vector or vertex in 4D space. More...
Header: | #include <QVector4D> |
CMake: | find_package(Qt6 COMPONENTS Gui REQUIRED) target_link_libraries(mytarget PRIVATE Qt6::Gui) |
qmake: | QT += gui |
QVector4D(QVector3D vector, float wpos) | |
QVector4D(QVector3D vector) | |
QVector4D(QVector2D vector, float zpos, float wpos) | |
QVector4D(QVector2D vector) | |
QVector4D(QPointF point) | |
QVector4D(QPoint point) | |
QVector4D(float xpos, float ypos, float zpos, float wpos) | |
QVector4D() | |
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 |
QVariant | operator QVariant() const |
QVector4D & | operator*=(float factor) |
QVector4D & | operator*=(QVector4D vector) |
QVector4D & | operator+=(QVector4D vector) |
QVector4D & | operator-=(QVector4D vector) |
QVector4D & | operator/=(float divisor) |
QVector4D & | operator/=(QVector4D vector) |
float & | operator[](int i) |
float | operator[](int i) const |
float | dotProduct(QVector4D v1, QVector4D v2) |
bool | qFuzzyCompare(QVector4D v1, QVector4D v2) |
bool | operator!=(QVector4D v1, QVector4D v2) |
QVector4D | operator*(float factor, QVector4D vector) |
QVector4D | operator*(QVector4D vector, float factor) |
QVector4D | operator*(QVector4D v1, QVector4D v2) |
QVector4D | operator+(QVector4D v1, QVector4D v2) |
QVector4D | operator-(QVector4D v1, QVector4D v2) |
QVector4D | operator-(QVector4D vector) |
QVector4D | operator/(QVector4D vector, float divisor) |
QVector4D | operator/(QVector4D vector, QVector4D divisor) |
QDataStream & | operator<<(QDataStream &stream, QVector4D vector) |
bool | operator==(QVector4D v1, QVector4D v2) |
QDataStream & | operator>>(QDataStream &stream, QVector4D &vector) |
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, and QVector3D.
Constructs a 4D vector from the specified 3D vector. The w coordinate is set to wpos, which must be finite.
See also toVector3D().
Constructs a 4D vector from the specified 3D vector. The w coordinate is set to zero.
See also toVector3D().
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().
Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zero.
See also toVector2D().
Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.
Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.
Constructs a vector with coordinates (xpos, ypos, zpos, wpos). All parameters must be finite.
Constructs a null vector, i.e. with coordinates (0, 0, 0, 0).
[static]
float QVector4D::dotProduct(QVector4D v1, QVector4D v2)
Returns the dot product of v1 and v2.
Returns true
if the x, y, z, and w coordinates are set to 0.0, otherwise returns false
.
Returns the length of the vector from the origin.
See also lengthSquared() and normalized().
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().
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().
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().
Sets the w coordinate of this point to the given finite w coordinate.
See also w(), setX(), setY(), and setZ().
Sets the x coordinate of this point to the given finite x coordinate.
See also x(), setY(), setZ(), and setW().
Sets the y coordinate of this point to the given finite y coordinate.
See also y(), setX(), setZ(), and setW().
Sets the z coordinate of this point to the given finite z coordinate.
See also z(), setX(), setY(), and setW().
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() and toVector2D().
Returns the QPointF form of this 4D vector. The z and w coordinates are dropped.
See also toPoint() and toVector2D().
Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.
See also toVector2DAffine(), toVector3D(), and toPoint().
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().
Returns the 3D vector form of this 4D vector, dropping the w coordinate.
See also toVector3DAffine(), toVector2D(), and toPoint().
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().
Returns the w coordinate of this point.
See also setW(), x(), y(), and z().
Returns the x coordinate of this point.
See also setX(), y(), z(), and w().
Returns the y coordinate of this point.
See also setY(), x(), z(), and w().
Returns the z coordinate of this point.
See also setZ(), x(), y(), and w().
Returns the 4D vector as a QVariant.
Multiplies this vector's coordinates by the given finite factor, and returns a reference to this vector.
See also operator/=() and operator*().
Multiplies each component of this vector by the corresponding component of vector and returns a reference to this vector.
See also operator/=() and operator*().
Adds the given vector to this vector and returns a reference to this vector.
See also operator-=().
Subtracts the given vector from this vector and returns a reference to this vector.
See also operator+=().
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*=().
[since 5.5]
QVector4D &QVector4D::operator/=(QVector4D vector)
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.
This function was introduced in Qt 5.5.
See also operator*=() and 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.
Returns true
if v1 and v2 are equal, allowing for a small fuzziness factor for floating-point comparisons; false otherwise.
Returns true
if v1 is not equal to v2; otherwise returns false
. This operator uses an exact floating-point comparison.
Returns a copy of the given vector, multiplied by the given factor.
See also QVector4D::operator*=().
Returns a copy of the given vector, multiplied by the given factor.
See also QVector4D::operator*=().
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*=().
Returns a QVector4D object that is the sum of the given vectors, v1 and v2; each component is added separately.
See also QVector4D::operator+=().
Returns a QVector4D object that is formed by subtracting v2 from v1; each component is subtracted separately.
See also QVector4D::operator-=().
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
.
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/=().
[since 5.5]
QVector4D operator/(QVector4D vector, QVector4D divisor)
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.
This function was introduced in Qt 5.5.
See also QVector4D::operator/=().
Writes the given vector to the given stream and returns a reference to the stream.
See also Serializing Qt Data Types.
Returns true
if v1 is equal to v2; otherwise returns false
. This operator uses an exact floating-point comparison.
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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Licensed under the GNU Free Documentation License, Version 1.3.
https://doc.qt.io/qt-6.2/qvector4d.html