Struct Vector3 

pub struct Vector3 {
    pub x: f64,
    pub y: f64,
    pub z: f64,
}

A 3D vector for position, velocity, and other spatial quantities.

Fields

x: f64

X component

y: f64

Y component

z: f64

Z component

Implementations

impl Vector3

pub fn new(x: f64, y: f64, z: f64) -> Self

Create a new Vector3.

pub fn zero() -> Self

Create a zero vector.

pub fn unit_x() -> Self

Create a unit vector along the X axis.

pub fn unit_y() -> Self

Create a unit vector along the Y axis.

pub fn unit_z() -> Self

Create a unit vector along the Z axis.

pub fn from_array(arr: [f64; 3]) -> Self

Create a Vector3 from an array.

pub fn from_tuple(t: (f64, f64, f64)) -> Self

Create a Vector3 from a tuple.

pub fn to_array(&self) -> [f64; 3]

Convert to an array.

pub fn to_tuple(&self) -> (f64, f64, f64)

Convert to a tuple.

pub fn magnitude(&self) -> f64

Compute the magnitude (length) of the vector.

pub fn magnitude_squared(&self) -> f64

Compute the squared magnitude (avoids sqrt).

pub fn normalize(&self) -> Self

Normalize the vector to unit length. Returns a zero vector if the magnitude is zero.

pub fn dot(&self, other: &Vector3) -> f64

Compute the dot product with another vector.

pub fn cross(&self, other: &Vector3) -> Self

Compute the cross product with another vector.

pub fn angle(&self, other: &Vector3) -> f64

Compute the angle between two vectors in radians.

pub fn scale(&self, scalar: f64) -> Self

Scale the vector by a scalar.

pub fn rotate_around_axis(&self, axis: &Vector3, angle: f64) -> Self

Rotate the vector around an arbitrary axis by an angle (radians).

pub fn rotate_x(&self, angle: f64) -> Self

Rotate the vector around the X axis.

pub fn rotate_y(&self, angle: f64) -> Self

Rotate the vector around the Y axis.

pub fn rotate_z(&self, angle: f64) -> Self

Rotate the vector around the Z axis.

pub fn lerp(&self, other: &Vector3, t: f64) -> Self

Linear interpolation between two vectors.

pub fn is_zero(&self, epsilon: f64) -> bool

Check if the vector is approximately zero.

pub fn approx_eq(&self, other: &Vector3, epsilon: f64) -> bool

Check if two vectors are approximately equal.

Trait Implementations

impl Add for Vector3

type Output = Vector3

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self

Performs the + operation.

impl Clone for Vector3

fn clone(&self) -> Vector3

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Vector3

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for Vector3

fn default() -> Self

Returns the “default value” for a type.

impl Div<f64> for Vector3

type Output = Vector3

The resulting type after applying the / operator.

fn div(self, scalar: f64) -> Self

Performs the / operation.

impl From<[f64; 3]> for Vector3

fn from(arr: [f64; 3]) -> Self

Converts to this type from the input type.

impl From<(f64, f64, f64)> for Vector3

fn from(t: (f64, f64, f64)) -> Self

Converts to this type from the input type.

impl From<Vector3> for [f64; 3]

fn from(v: Vector3) -> Self

Converts to this type from the input type.

impl From<Vector3> for (f64, f64, f64)

fn from(v: Vector3) -> Self

Converts to this type from the input type.

impl Mul<&Vector3> for Matrix3

type Output = Vector3

The resulting type after applying the * operator.

fn mul(self, v: &Vector3) -> Vector3

Performs the * operation.

impl Mul<Vector3> for Matrix3

type Output = Vector3

The resulting type after applying the * operator.

fn mul(self, v: Vector3) -> Vector3

Performs the * operation.

impl Mul<Vector3> for f64

type Output = Vector3

The resulting type after applying the * operator.

fn mul(self, vec: Vector3) -> Vector3

Performs the * operation.

impl Mul<f64> for Vector3

type Output = Vector3

The resulting type after applying the * operator.

fn mul(self, scalar: f64) -> Self

Performs the * operation.

impl Neg for Vector3

type Output = Vector3

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for Vector3

fn eq(&self, other: &Vector3) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Sub for Vector3

type Output = Vector3

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.

impl Copy for Vector3

impl StructuralPartialEq for Vector3