Struct Vector

pub struct Vector {
    pub x: f64,
    pub y: f64,
}

A vector in 2-dimensional Euclidian space.

A point represents a position, whereas a vector represents a displacement. That is, the result of subtracting two points is a vector. Moreover, the result of adding/subtracting a vector to/from a point is another point. However, adding two points is not defined. Similarly, whereas a point can be scaled, rotated, and translated, a vector can only be scaled and rotated.

Fields

x: f64

y: f64

Implementations

impl Vector

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

Creates a new vector with the given coordinates.

pub fn zero() -> Vector

Returns the zero vector.

pub fn to_point(self) -> Point

Converts self to a point.

This is equivalent to adding self to the origin.

pub fn length(self) -> f64

Returns the length of self.

pub fn normalize(self) -> Option<Vector>

Returns the unit vector in the direction of self, or None if self is the zero vector.

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

Returns the dot product of self and other.

pub fn cross(self, other: Vector) -> f64

Returns the cross product of self and other.

pub fn scale(self, v: Vector) -> Vector

Non-uniformly scales self with the scale vector v.

Trait Implementations

impl Add<Vector> for Point

type Output = Point

The resulting type after applying the + operator.

fn add(self, v: Vector) -> Point

Performs the + operation.

impl Add for Vector

type Output = Vector

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign<Vector> for Point

fn add_assign(&mut self, vector: Vector)

Performs the += operation.

impl AddAssign for Vector

fn add_assign(&mut self, other: Vector)

Performs the += operation.

impl Clone for Vector

fn clone(&self) -> Vector

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Vector

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

Formats the value using the given formatter.

impl Default for Vector

fn default() -> Vector

Returns the “default value” for a type.

impl Div<f64> for Vector

type Output = Vector

The resulting type after applying the / operator.

fn div(self, k: f64) -> Vector

Performs the / operation.

impl DivAssign<f64> for Vector

fn div_assign(&mut self, k: f64)

Performs the /= operation.

impl Mul<f64> for Vector

type Output = Vector

The resulting type after applying the * operator.

fn mul(self, k: f64) -> Vector

Performs the * operation.

impl MulAssign<f64> for Vector

fn mul_assign(&mut self, k: f64)

Performs the *= operation.

impl Neg for Vector

type Output = Vector

The resulting type after applying the - operator.

fn neg(self) -> Vector

Performs the unary - operation.

impl PartialEq for Vector

fn eq(&self, other: &Vector) -> 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 PartialOrd for Vector

fn partial_cmp(&self, other: &Vector) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl Sub<Vector> for Point

type Output = Point

The resulting type after applying the - operator.

fn sub(self, v: Vector) -> Point

Performs the - operation.

impl Sub for Vector

type Output = Vector

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign<Vector> for Point

fn sub_assign(&mut self, vector: Vector)

Performs the -= operation.

impl SubAssign for Vector

fn sub_assign(&mut self, other: Vector)

Performs the -= operation.

impl Transform for Vector

fn transform<T>(self, t: &T) -> Vector

where T: Transformation,

fn transform_mut<T>(&mut self, t: &T)

where T: Transformation,

impl Copy for Vector

impl StructuralPartialEq for Vector