3d vector template class with lots of operators and methods. More...

#include <C:/Projects/skylicht-engine/Projects/Irrlicht/Include/vector3d.h>

Public Member Functions
	vector3d ()
	Default constructor (null vector).
	vector3d (T nx, T ny, T nz)
	Constructor with three different values.
	vector3d (T n)
	Constructor with the same value for all elements.
	vector3d (const vector3d< T > &other)
	Copy constructor.
vector3d< T >	operator- () const
vector3d< T > &	operator= (const vector3d< T > &other)
vector3d< T >	operator+ (const vector3d< T > &other) const
vector3d< T > &	operator+= (const vector3d< T > &other)
vector3d< T >	operator+ (const T val) const
vector3d< T > &	operator+= (const T val)
vector3d< T >	operator- (const vector3d< T > &other) const
vector3d< T > &	operator-= (const vector3d< T > &other)
vector3d< T >	operator- (const T val) const
vector3d< T > &	operator-= (const T val)
vector3d< T >	operator* (const vector3d< T > &other) const
vector3d< T > &	*operator=** (const vector3d< T > &other)
vector3d< T >	operator* (const T v) const
vector3d< T > &	*operator=** (const T v)
vector3d< T >	operator/ (const vector3d< T > &other) const
vector3d< T > &	operator/= (const vector3d< T > &other)
vector3d< T >	operator/ (const T v) const
vector3d< T > &	operator/= (const T v)
bool	operator<= (const vector3d< T > &other) const
	sort in order X, Y, Z. Equality with rounding tolerance.
bool	operator>= (const vector3d< T > &other) const
	sort in order X, Y, Z. Equality with rounding tolerance.
bool	operator< (const vector3d< T > &other) const
	sort in order X, Y, Z. Difference must be above rounding tolerance.
bool	operator> (const vector3d< T > &other) const
	sort in order X, Y, Z. Difference must be above rounding tolerance.
bool	operator== (const vector3d< T > &other) const
	use weak float compare
bool	operator!= (const vector3d< T > &other) const
bool	equals (const vector3d< T > &other, const T tolerance=(T) ROUNDING_ERROR_f32) const
	returns if this vector equals the other one, taking floating point rounding errors into account
vector3d< T > &	set (const T nx, const T ny, const T nz)
vector3d< T > &	set (const vector3d< T > &p)
T	getLength () const
	Get length of the vector.
T	getLengthSQ () const
	Get squared length of the vector.
T	dotProduct (const vector3d< T > &other) const
	Get the dot product with another vector.
T	getDistanceFrom (const vector3d< T > &other) const
	Get distance from another point.
T	getDistanceFromSQ (const vector3d< T > &other) const
	Returns squared distance from another point.
vector3d< T >	crossProduct (const vector3d< T > &p) const
	Calculates the cross product with another vector.
bool	isBetweenPoints (const vector3d< T > &begin, const vector3d< T > &end) const
	Returns if this vector interpreted as a point is on a line between two other points.
vector3d< T > &	normalize ()
	Normalizes the vector.
vector3d< T > &	setLength (T newlength)
	Sets the length of the vector to a new value.
vector3d< T > &	invert ()
	Inverts the vector.
void	rotateXZBy (f64 degrees, const vector3d< T > &center=vector3d< T >())
	Rotates the vector by a specified number of degrees around the Y axis and the specified center.
void	rotateXYBy (f64 degrees, const vector3d< T > &center=vector3d< T >())
	Rotates the vector by a specified number of degrees around the Z axis and the specified center.
void	rotateYZBy (f64 degrees, const vector3d< T > &center=vector3d< T >())
	Rotates the vector by a specified number of degrees around the X axis and the specified center.
vector3d< T >	getInterpolated (const vector3d< T > &other, f64 d) const
	Creates an interpolated vector between this vector and another vector.
vector3d< T >	getInterpolated_quadratic (const vector3d< T > &v2, const vector3d< T > &v3, f64 d) const
	Creates a quadratically interpolated vector between this and two other vectors.
vector3d< T > &	interpolate (const vector3d< T > &a, const vector3d< T > &b, f64 d)
	Sets this vector to the linearly interpolated vector between a and b.
vector3d< T >	getHorizontalAngle () const
	Get the rotations that would make a (0,0,1) direction vector point in the same direction as this direction vector.
vector3d< T >	getSphericalCoordinateAngles () const
	Get the spherical coordinate angles.
vector3d< T >	rotationToDirection (const vector3d< T > &forwards=vector3d< T >(0, 0, 1)) const
	Builds a direction vector from (this) rotation vector.
void	getAs4Values (T *array) const
	Fills an array of 4 values with the vector data (usually floats).
void	getAs3Values (T *array) const
	Fills an array of 3 values with the vector data (usually floats).
vector3d< s32 >	operator/ (s32 val) const
	partial specialization for integer vectors
vector3d< s32 > &	operator/= (s32 val)
vector3d< s32 >	getSphericalCoordinateAngles () const

Public Attributes
T	X
	X coordinate of the vector.
T	Y
	Y coordinate of the vector.
T	Z
	Z coordinate of the vector.

Detailed Description

template<class T>
class irr::core::vector3d< T >

3d vector template class with lots of operators and methods.

The vector3d class is used in Irrlicht for three main purposes: 1) As a direction vector (most of the methods assume this). 2) As a position in 3d space (which is synonymous with a direction vector from the origin to this position). 3) To hold three Euler rotations, where X is pitch, Y is yaw and Z is roll.

Member Function Documentation

◆ crossProduct()

template<class T>

vector3d< T > irr::core::vector3d< T >::crossProduct ( const vector3d< T > & p ) const

inline

Calculates the cross product with another vector.

Parameters

p	Vector to multiply with.

Returns: Crossproduct of this vector with p.

◆ getAs3Values()

template<class T>

void irr::core::vector3d< T >::getAs3Values ( T * array ) const

inline

Fills an array of 3 values with the vector data (usually floats).

Useful for setting in shader constants for example.

◆ getAs4Values()

template<class T>

void irr::core::vector3d< T >::getAs4Values ( T * array ) const

inline

Fills an array of 4 values with the vector data (usually floats).

Useful for setting in shader constants for example. The fourth value will always be 0.

◆ getDistanceFrom()

template<class T>

T irr::core::vector3d< T >::getDistanceFrom ( const vector3d< T > & other ) const

inline

Get distance from another point.

Here, the vector is interpreted as point in 3 dimensional space.

◆ getDistanceFromSQ()

template<class T>

T irr::core::vector3d< T >::getDistanceFromSQ ( const vector3d< T > & other ) const

inline

Returns squared distance from another point.

Here, the vector is interpreted as point in 3 dimensional space.

◆ getHorizontalAngle()

template<class T>

vector3d< T > irr::core::vector3d< T >::getHorizontalAngle ( ) const

inline

Get the rotations that would make a (0,0,1) direction vector point in the same direction as this direction vector.

Thanks to Arras on the Irrlicht forums for this method. This utility method is very useful for orienting scene nodes towards specific targets. For example, if this vector represents the difference between two scene nodes, then applying the result of getHorizontalAngle() to one scene node will point it at the other one. Example code: Where target and seeker are of type ISceneNode* const vector3df toTarget(target->getAbsolutePosition() - seeker->getAbsolutePosition()); const vector3df requiredRotation = toTarget.getHorizontalAngle(); seeker->setRotation(requiredRotation);

Returns: A rotation vector containing the X (pitch) and Y (raw) rotations (in degrees) that when applied to a +Z (e.g. 0, 0, 1) direction vector would make it point in the same direction as this vector. The Z (roll) rotation is always 0, since two Euler rotations are sufficient to point in any given direction.

◆ getInterpolated()

template<class T>

vector3d< T > irr::core::vector3d< T >::getInterpolated	(	const vector3d< T > &	other,
		f64	d ) const

inline

Creates an interpolated vector between this vector and another vector.

Parameters

other	The other vector to interpolate with.
d	Interpolation value between 0.0f (all the other vector) and 1.0f (all this vector). Note that this is the opposite direction of interpolation to getInterpolated_quadratic()

Returns: An interpolated vector. This vector is not modified.

◆ getInterpolated_quadratic()

template<class T>

vector3d< T > irr::core::vector3d< T >::getInterpolated_quadratic	(	const vector3d< T > &	v2,
		const vector3d< T > &	v3,
		f64	d ) const

inline

Creates a quadratically interpolated vector between this and two other vectors.

Parameters

v2	Second vector to interpolate with.
v3	Third vector to interpolate with (maximum at 1.0f)
d	Interpolation value between 0.0f (all this vector) and 1.0f (all the 3rd vector). Note that this is the opposite direction of interpolation to getInterpolated() and interpolate()

Returns: An interpolated vector. This vector is not modified.

◆ getLengthSQ()

template<class T>

T irr::core::vector3d< T >::getLengthSQ ( ) const

inline

Get squared length of the vector.

This is useful because it is much faster than getLength().

Returns: Squared length of the vector.

◆ getSphericalCoordinateAngles()

template<class T>

vector3d< T > irr::core::vector3d< T >::getSphericalCoordinateAngles ( ) const

inline

Get the spherical coordinate angles.

This returns Euler degrees for the point represented by this vector. The calculation assumes the pole at (0,1,0) and returns the angles in X and Y.

◆ interpolate()

template<class T>

vector3d< T > & irr::core::vector3d< T >::interpolate	(	const vector3d< T > &	a,
		const vector3d< T > &	b,
		f64	d )

inline

Sets this vector to the linearly interpolated vector between a and b.

Parameters

a	first vector to interpolate with, maximum at 1.0f
b	second vector to interpolate with, maximum at 0.0f
d	Interpolation value between 0.0f (all vector b) and 1.0f (all vector a) Note that this is the opposite direction of interpolation to getInterpolated_quadratic()

◆ isBetweenPoints()

template<class T>

bool irr::core::vector3d< T >::isBetweenPoints	(	const vector3d< T > &	begin,
		const vector3d< T > &	end ) const

inline

Returns if this vector interpreted as a point is on a line between two other points.

It is assumed that the point is on the line.

Parameters

begin	Beginning vector to compare between.
end	Ending vector to compare between.

Returns: True if this vector is between begin and end, false if not.

◆ normalize()

template<class T>

vector3d< T > & irr::core::vector3d< T >::normalize ( )

inline

Normalizes the vector.

In case of the 0 vector the result is still 0, otherwise the length of the vector will be 1.

Returns: Reference to this vector after normalization.

◆ rotateXYBy()

template<class T>

void irr::core::vector3d< T >::rotateXYBy	(	f64	degrees,
		const vector3d< T > &	center = vector3d<T>() )

inline

Rotates the vector by a specified number of degrees around the Z axis and the specified center.

Parameters

degrees	Number of degrees to rotate around the Z axis.
center	The center of the rotation.

◆ rotateXZBy()

template<class T>

void irr::core::vector3d< T >::rotateXZBy	(	f64	degrees,
		const vector3d< T > &	center = vector3d<T>() )

inline

Rotates the vector by a specified number of degrees around the Y axis and the specified center.

Parameters

degrees	Number of degrees to rotate around the Y axis.
center	The center of the rotation.

◆ rotateYZBy()

template<class T>

void irr::core::vector3d< T >::rotateYZBy	(	f64	degrees,
		const vector3d< T > &	center = vector3d<T>() )

inline

Rotates the vector by a specified number of degrees around the X axis and the specified center.

Parameters

degrees	Number of degrees to rotate around the X axis.
center	The center of the rotation.

◆ rotationToDirection()

template<class T>

vector3d< T > irr::core::vector3d< T >::rotationToDirection ( const vector3d< T > & forwards = vector3d<T>(0, 0, 1) ) const

inline

Builds a direction vector from (this) rotation vector.

This vector is assumed to be a rotation vector composed of 3 Euler angle rotations, in degrees. The implementation performs the same calculations as using a matrix to do the rotation.

Parameters

[in] forwards The direction representing "forwards" which will be rotated by this vector. If you do not provide a direction, then the +Z axis (0, 0, 1) will be assumed to be forwards.

Returns: A direction vector calculated by rotating the forwards direction by the 3 Euler angles (in degrees) represented by this vector.

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

C:/Projects/skylicht-engine/Projects/Irrlicht/Include/vector3d.h

Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

◆ crossProduct()

◆ getAs3Values()

◆ getAs4Values()

◆ getDistanceFrom()

◆ getDistanceFromSQ()

◆ getHorizontalAngle()

◆ getInterpolated()

◆ getInterpolated_quadratic()

◆ getLengthSQ()

◆ getSphericalCoordinateAngles()

◆ interpolate()

◆ isBetweenPoints()

◆ normalize()

◆ rotateXYBy()

◆ rotateXZBy()

◆ rotateYZBy()

◆ rotationToDirection()