Struct Vec2

pub struct Vec2<T>(pub T, pub T);

2次元ベクトル

Tuple Fields

0: T

1: T

Implementations

impl Vec2<f64>

pub fn dist(&self, other: Self) -> f64

2点間のユークリッド距離を求める

\|\boldsymbol{a} - \boldsymbol{b}\| = \sqrt{(a_x - b_x)^2 + (a_y - b_y)^2}

pub fn norm(&self) -> f64

ノルムを求める

\|\boldsymbol{a}\| = \sqrt{a_x^2 + a_y^2}

pub fn unit(&self) -> Self

同じ向きの単位ベクトルを求める

pub fn normal(&self) -> Self

法線ベクトル （90度回転させたベクトル） を求める

pub fn rotate_o(&self, theta: f64) -> Self

原点周りに $\theta$ 回転させた点を求める

impl<T: Num + Copy> Vec2<T>

pub fn dot(&self, other: Self) -> T

2つのベクトルのドット積を求める

\boldsymbol{a}\cdot\boldsymbol{b} = a_x b_x + a_y b_y

pub fn norm2(&self) -> T

ノルムの2乗を求める

\|\boldsymbol{a}\|^2 = a_x^2 + a_y^2

pub fn dist2(&self, other: Self) -> T

ベクトル同士の距離の2乗を求める

\|\boldsymbol{a} - \boldsymbol{b}\|^2 = (a_x - b_x)^2 + (a_y - b_y)^2

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

クロス積を求める

\boldsymbol{a} \times \boldsymbol{b} = a_x b_y - a_y b_x

Trait Implementations

impl<T> Add for Vec2<T>

where T: Add<Output = T>,

type Output = Vec2<T>

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl<T: Clone> Clone for Vec2<T>

fn clone(&self) -> Vec2<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Vec2<T>

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

Formats the value using the given formatter.

impl<T> Div<T> for Vec2<T>

where T: Div<Output = T> + Clone,

type Output = Vec2<T>

The resulting type after applying the / operator.

fn div(self, rhs: T) -> Self::Output

Performs the / operation.

impl<T: Hash> Hash for Vec2<T>

fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T> Mul<T> for Vec2<T>

where T: Mul<Output = T> + Clone,

type Output = Vec2<T>

The resulting type after applying the * operator.

fn mul(self, rhs: T) -> Self::Output

Performs the * operation.

impl<T> Neg for Vec2<T>

where T: Neg<Output = T>,

type Output = Vec2<T>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T: PartialEq> PartialEq for Vec2<T>

fn eq(&self, other: &Self) -> 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<T> Sub for Vec2<T>

where T: Sub<Output = T>,

type Output = Vec2<T>

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl<T: Copy> Copy for Vec2<T>