Vector3

Vector used for 3D math.

Description

3-element structure that can be used to represent positions in 3D space or any other pair of numeric values.

Note: In a boolean context, a Vector3 will evaluate to false if it's equal to Vector3(0, 0, 0). Otherwise, a Vector3 will always evaluate to true.

Tutorials

• Math

Properties

float	x	0.0
float	y	0.0
float	z	0.0

Methods

Vector3	Vector3 ( float x, float y, float z )
Vector3	abs ( )
float	angle_to ( Vector3 to )
Vector3	bounce ( Vector3 n )
Vector3	ceil ( )
Vector3	cross ( Vector3 b )
Vector3	cubic_interpolate ( Vector3 b, Vector3 pre_a, Vector3 post_b, float t )
Vector3	direction_to ( Vector3 b )
float	distance_squared_to ( Vector3 b )
float	distance_to ( Vector3 b )
float	dot ( Vector3 b )
Vector3	floor ( )
Vector3	inverse ( )
bool	is_equal_approx ( Vector3 v )
bool	is_normalized ( )
float	length ( )
float	length_squared ( )
Vector3	linear_interpolate ( Vector3 b, float t )
int	max_axis ( )
int	min_axis ( )
Vector3	move_toward ( Vector3 to, float delta )
Vector3	normalized ( )
Basis	outer ( Vector3 b )
Vector3	posmod ( float mod )
Vector3	posmodv ( Vector3 modv )
Vector3	project ( Vector3 b )
Vector3	reflect ( Vector3 n )
Vector3	rotated ( Vector3 axis, float phi )
Vector3	round ( )
Vector3	sign ( )
Vector3	slerp ( Vector3 b, float t )
Vector3	slide ( Vector3 n )
Vector3	snapped ( Vector3 by )
Basis	to_diagonal_matrix ( )

Constants

• AXIS_X = 0 --- Enumerated value for the X axis. Returned by max_axis and min_axis.
• AXIS_Y = 1 --- Enumerated value for the Y axis. Returned by max_axis and min_axis.
• AXIS_Z = 2 --- Enumerated value for the Z axis. Returned by max_axis and min_axis.
• ZERO = Vector3( 0, 0, 0 ) --- Zero vector, a vector with all components set to 0.
• ONE = Vector3( 1, 1, 1 ) --- One vector, a vector with all components set to 1.
• INF = Vector3( inf, inf, inf ) --- Infinity vector, a vector with all components set to @GDScript.INF.
• LEFT = Vector3( -1, 0, 0 ) --- Left unit vector. Represents the local direction of left, and the global direction of west.
• RIGHT = Vector3( 1, 0, 0 ) --- Right unit vector. Represents the local direction of right, and the global direction of east.
• UP = Vector3( 0, 1, 0 ) --- Up unit vector.
• DOWN = Vector3( 0, -1, 0 ) --- Down unit vector.
• FORWARD = Vector3( 0, 0, -1 ) --- Forward unit vector. Represents the local direction of forward, and the global direction of north.
• BACK = Vector3( 0, 0, 1 ) --- Back unit vector. Represents the local direction of back, and the global direction of south.

Property Descriptions

float x

Default

0.0

The vector's X component. Also accessible by using the index position [0].

float y

Default

0.0

The vector's Y component. Also accessible by using the index position [1].

float z

Default

0.0

The vector's Z component. Also accessible by using the index position [2].

Method Descriptions

Vector3 Vector3 ( float x, float y, float z )

Returns a Vector3 with the given components.

Vector3 abs ( )

Returns a new vector with all components in absolute values (i.e. positive).

float angle_to ( Vector3 to )

Returns the minimum angle to the given vector, in radians.

Vector3 bounce ( Vector3 n )

Returns the vector "bounced off" from a plane defined by the given normal.

Vector3 ceil ( )

Returns a new vector with all components rounded up (towards positive infinity).

Vector3 cross ( Vector3 b )

Returns the cross product of this vector and b.

Vector3 cubic_interpolate ( Vector3 b, Vector3 pre_a, Vector3 post_b, float t )

Performs a cubic interpolation between vectors pre_a, a, b, post_b (a is current), by the given amount t. t is on the range of 0.0 to 1.0, representing the amount of interpolation.

Vector3 direction_to ( Vector3 b )

Returns the normalized vector pointing from this vector to b.

float distance_squared_to ( Vector3 b )

Returns the squared distance between this vector and b.

This method runs faster than distance_to, so prefer it if you need to compare vectors or need the squared distance for some formula.

float distance_to ( Vector3 b )

Returns the distance between this vector and b.

float dot ( Vector3 b )

Returns the dot product of this vector and b. This can be used to compare the angle between two vectors. For example, this can be used to determine whether an enemy is facing the player.

The dot product will be 0 for a straight angle (90 degrees), greater than 0 for angles narrower than 90 degrees and lower than 0 for angles wider than 90 degrees.

When using unit (normalized) vectors, the result will always be between -1.0 (180 degree angle) when the vectors are facing opposite directions, and 1.0 (0 degree angle) when the vectors are aligned.

Note: a.dot(b) is equivalent to b.dot(a).

Vector3 floor ( )

Returns a new vector with all components rounded down (towards negative infinity).

Vector3 inverse ( )

Returns the inverse of the vector. This is the same as Vector3( 1.0 / v.x, 1.0 / v.y, 1.0 / v.z ).

bool is_equal_approx ( Vector3 v )

Returns true if this vector and v are approximately equal, by running @GDScript.is_equal_approx on each component.

bool is_normalized ( )

Returns true if the vector is normalized, and false otherwise.

float length ( )

Returns the length (magnitude) of this vector.

float length_squared ( )

Returns the squared length (squared magnitude) of this vector.

This method runs faster than length, so prefer it if you need to compare vectors or need the squared distance for some formula.

Vector3 linear_interpolate ( Vector3 b, float t )

Returns the result of the linear interpolation between this vector and b by amount t. t is on the range of 0.0 to 1.0, representing the amount of interpolation.

int max_axis ( )

Returns the axis of the vector's largest value. See AXIS_* constants. If all components are equal, this method returns AXIS_X.

int min_axis ( )

Returns the axis of the vector's smallest value. See AXIS_* constants. If all components are equal, this method returns AXIS_Z.

Vector3 move_toward ( Vector3 to, float delta )

Moves this vector toward to by the fixed delta amount.

Vector3 normalized ( )

Returns the vector scaled to unit length. Equivalent to v / v.length().

Basis outer ( Vector3 b )

Returns the outer product with b.

Vector3 posmod ( float mod )

Returns a vector composed of the @GDScript.fposmod of this vector's components and mod.

Vector3 posmodv ( Vector3 modv )

Returns a vector composed of the @GDScript.fposmod of this vector's components and modv's components.

Vector3 project ( Vector3 b )

Returns this vector projected onto another vector b.

Vector3 reflect ( Vector3 n )

Returns this vector reflected from a plane defined by the given normal.

Vector3 rotated ( Vector3 axis, float phi )

Rotates this vector around a given axis by phi radians. The axis must be a normalized vector.

Vector3 round ( )

Returns this vector with all components rounded to the nearest integer, with halfway cases rounded away from zero.

Vector3 sign ( )

Returns a vector with each component set to one or negative one, depending on the signs of this vector's components, or zero if the component is zero, by calling @GDScript.sign on each component.

Vector3 slerp ( Vector3 b, float t )

Returns the result of spherical linear interpolation between this vector and b, by amount t. t is on the range of 0.0 to 1.0, representing the amount of interpolation.

Note: Both vectors must be normalized.

Vector3 slide ( Vector3 n )

Returns this vector slid along a plane defined by the given normal.

Vector3 snapped ( Vector3 by )

Returns this vector with each component snapped to the nearest multiple of step. This can also be used to round to an arbitrary number of decimals.

Basis to_diagonal_matrix ( )

Returns a diagonal matrix with the vector as main diagonal.

This is equivalent to a Basis with no rotation or shearing and this vector's components set as the scale.