# Vector3¶

Category: Built-In Types

## Brief Description¶

Vector class, which performs basic 3D vector math operations.

## Properties¶

 float x float y float z

## 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_normalized ( ) float length ( ) float length_squared ( ) Vector3 linear_interpolate ( Vector3 b, float t ) int max_axis ( ) int min_axis ( ) Vector3 normalized ( ) Basis outer ( Vector3 b ) Vector3 project ( Vector3 b ) Vector3 reflect ( Vector3 n ) Vector3 rotated ( Vector3 axis, float phi ) Vector3 round ( ) 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.
• AXIS_Z = 2 — Enumerated value for the Z axis.
• ZERO = Vector3( 0, 0, 0 ) — Zero vector.
• ONE = Vector3( 1, 1, 1 ) — One vector.
• INF = Vector3( inf, inf, inf ) — Infinite vector.
• LEFT = Vector3( -1, 0, 0 ) — Left unit vector.
• RIGHT = Vector3( 1, 0, 0 ) — Right unit vector.
• UP = Vector3( 0, 1, 0 ) — Up unit vector.
• DOWN = Vector3( 0, -1, 0 ) — Down unit vector.
• FORWARD = Vector3( 0, 0, -1 ) — Forward unit vector.
• BACK = Vector3( 0, 0, 1 ) — Back unit vector.

## Description¶

Vector3 is one of the core classes of the engine, and includes several built-in helper functions to perform basic vector math operations.

## Property Descriptions¶

The vector’s x component. Also accessible by using the index position `[0]`.

The vector’s y component. Also accessible by using the index position `[1]`.

The vector’s z component. Also accessible by using the index position `[2]`.

## Method Descriptions¶

Returns a Vector3 with the given components.

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

Returns the minimum angle to the given vector.

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

Returns a new vector with all components rounded up.

Returns the cross product with `b`.

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

Returns the normalized vector pointing from this vector to `b`.

Returns the squared distance to `b`. Prefer this function over distance_to if you need to sort vectors or need the squared distance for some formula.

Returns the distance to `b`.

Returns the dot product with `b`.

Returns a new vector with all components rounded down.

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_normalized ( )

Returns `true` if the vector is normalized.

Returns the vector’s length.

• float length_squared ( )

Returns the vector’s length squared. Prefer this function over length if you need to sort vectors or need the squared length for some formula.

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

• int max_axis ( )

Returns the axis of the vector’s largest value. See `AXIS_*` constants.

• int min_axis ( )

Returns the axis of the vector’s smallest value. See `AXIS_*` constants.

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

Returns the outer product with `b`.

Returns the vector projected onto the vector `b`.

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

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

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

Returns the result of SLERP between this vector and `b`, by amount `t`. `t` is in the range of `0.0 - 1.0`, representing the amount of interpolation.

Both vectors need to be normalized.

Returns the component of the vector along a plane defined by the given normal.

Returns a copy of the vector, snapped to the lowest neared multiple.

• Basis to_diagonal_matrix ( )

Returns a diagonal matrix with the vector as main diagonal.