Struct Vec3 

pub struct Vec3 {
    pub x: f32,
    pub y: f32,
    pub z: f32,
}

Vecteur 3D en f32.

Fields

x: f32

Composante X.

y: f32

Composante Y.

z: f32

Composante Z.

Implementations

impl Vec3

pub const ZERO: Self

Vecteur nul [0, 0, 0].

pub const X: Self

Vecteur unité X [1, 0, 0].

pub const Y: Self

Vecteur unité Y [0, 1, 0].

pub const Z: Self

Vecteur unité Z [0, 0, 1].

pub const fn new(x: f32, y: f32, z: f32) -> Self

Crée un nouveau vecteur 3D.

pub fn as_array(&self) -> [f32; 3]

Retourne les composantes sous la forme [x, y, z].

pub const fn from_array(v: [f32; 3]) -> Self

Crée un vecteur depuis un tableau [x, y, z].

pub fn dot(&self, rhs: &Self) -> f32

Produit scalaire : self · rhs = x₁x₂ + y₁y₂ + z₁z₂.

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

Produit vectoriel : self × rhs.

Le résultat est perpendiculaire aux deux opérandes (règle de la main droite). Propriété : a × b = -(b × a).

pub fn norm_sq(&self) -> f32

Norme au carré : x² + y² + z². Infaillible.

pub fn norm(&self) -> Result<f32, VecError>

Norme euclidienne via embedded_f32_sqrt.

Retourne VecError::NonFiniteValue si un composant est NaN ou infini.

pub fn normalize(&self) -> Result<Self, VecError>

Vecteur unitaire dans la même direction.

Retourne VecError::ZeroNorm si la norme est nulle. Retourne VecError::NonFiniteValue si un composant est invalide.

pub fn distance(&self, rhs: &Self) -> Result<f32, VecError>

Distance euclidienne entre deux vecteurs.

pub fn lerp(&self, rhs: &Self, t: f32) -> Self

Interpolation linéaire : self + t * (rhs - self), t ∈ [0, 1].

pub fn hadamard(&self, rhs: &Self) -> Self

Multiplication terme à terme (produit de Hadamard).

pub fn project_onto(&self, rhs: &Self) -> Result<Self, VecError>

Projection de self sur rhs : (self·rhs / |rhs|²) * rhs.

Retourne VecError::ZeroNorm si rhs est le vecteur nul.

pub fn reject_from(&self, rhs: &Self) -> Result<Self, VecError>

Composante de self perpendiculaire à rhs : self - proj(self, rhs).

pub fn is_finite(&self) -> bool

Retourne true si tous les composants sont finis (non NaN, non infini).

Trait Implementations

impl Add for Vec3

type Output = Vec3

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign for Vec3

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for Vec3

fn clone(&self) -> Vec3

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Vec3

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

Formats the value using the given formatter.

impl Div<f32> for Vec3

type Output = Vec3

The resulting type after applying the / operator.

fn div(self, s: f32) -> Self

Performs the / operation.

impl Mul<f32> for Vec3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, s: f32) -> Self

Performs the * operation.

impl MulAssign<f32> for Vec3

fn mul_assign(&mut self, s: f32)

Performs the *= operation.

impl Neg for Vec3

type Output = Vec3

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for Vec3

fn eq(&self, other: &Vec3) -> 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 Vec3

type Output = Vec3

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign for Vec3

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl Copy for Vec3

impl StructuralPartialEq for Vec3