[−]Struct lumol::Vector3D
A 3-dimensional vector type
A Vector3D implement all the arithmetic operations:
let u = Vector3D::new(1.0, 2.0, 3.0); let v = Vector3D::new(4.0, -2.0, 1.0); // Indexing assert_eq!(u[0], 1.0); assert_eq!(u[1], 2.0); assert_eq!(u[2], 3.0); // Addition let w = u + v; assert_eq!(w, Vector3D::new(5.0, 0.0, 4.0)); // Subtraction let w = u - v; assert_eq!(w, Vector3D::new(-3.0, 4.0, 2.0)); // Negation let w = -u; assert_eq!(w, Vector3D::new(-1.0, -2.0, -3.0)); // Cross product let w = u ^ v; assert_eq!(w, Vector3D::new(8.0, 11.0, -10.0)); // Multiplication let w = 2.0 * u; assert_eq!(w, Vector3D::new(2.0, 4.0, 6.0)); let w = u * 3.0; assert_eq!(w, Vector3D::new(3.0, 6.0, 9.0)); // Division let w = u / 2.0; assert_eq!(w, Vector3D::new(0.5, 1.0, 1.5)); // Dot product let a = u * v; assert_eq!(a, 3.0);
Implementations
impl Vector3D
pub fn new(x: f64, y: f64, z: f64) -> Vector3D
Create a new Vector3D with components x, y, z
Examples
let vector = Vector3D::new(1.0, 0.0, -42.0); assert_eq!(vector[0], 1.0); assert_eq!(vector[1], 0.0); assert_eq!(vector[2], -42.0);
pub fn zero() -> Vector3D
Create a new Vector3D with components 0, 0, 0
Examples
let vector = Vector3D::zero(); assert_eq!(vector[0], 0.0); assert_eq!(vector[1], 0.0); assert_eq!(vector[2], 0.0);
pub fn norm2(&self) -> f64
Return the squared euclidean norm of a Vector3D
Examples
let vec = Vector3D::new(1.0, 0.0, -4.0); assert_eq!(vec.norm2(), 17.0);
pub fn norm(&self) -> f64
Return the euclidean norm of a Vector3D
Examples
let vec = Vector3D::new(1.0, 0.0, -4.0); assert_eq!(vec.norm(), f64::sqrt(17.0));
pub fn normalized(&self) -> Vector3D
Normalize a Vector3D.
Examples
let vec = Vector3D::new(1.0, 0.0, -4.0); let n = vec.normalized(); assert_eq!(n.norm(), 1.0);
pub fn tensorial(&self, other: &Vector3D) -> Matrix3
Tensorial product between vectors. The tensorial product between the
vectors a and b creates a Matrix3 with component (i, j) equals to
a[i] * b[j].
Examples
let a = Vector3D::new(1.0, 0.0, -4.0); let b = Vector3D::new(1.0, 2.0, 3.0); let matrix = Matrix3::new([ [1.0, 2.0, 3.0], [0.0, 0.0, 0.0], [-4.0, -8.0, -12.0] ]); assert_eq!(a.tensorial(&b), matrix);
pub fn min(&self) -> f64
Get the minimal value in this vector, using std::f64::min for
comparison.
Examples
let vector = Vector3D::new(1.0, 0.0, -4.0); assert_eq!(vector.min(), -4.0);
pub fn max(&self) -> f64
Get the maximal value in this vector, using std::f64::max for
comparison.
Examples
let vector = Vector3D::new(1.0, 0.0, -4.0); assert_eq!(vector.max(), 1.0);
Methods from Deref<Target = [f64; 3]>
pub fn as_slice(&self) -> &[T][src]
array_methods)Returns a slice containing the entire array. Equivalent to &s[..].
pub fn as_mut_slice(&mut self) -> &mut [T][src]
array_methods)Returns a mutable slice containing the entire array. Equivalent to
&mut s[..].
Trait Implementations
impl<'a, 'b> Add<&'a Vector3D> for &'b mut Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: &'a Vector3D) -> Vector3D
impl<'a> Add<&'a Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> Add<&'a Vector3D> for &'b Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: &'a Vector3D) -> Vector3D
impl<'a> Add<&'a mut Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> Add<&'a mut Vector3D> for &'b Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> Add<&'a mut Vector3D> for &'b mut Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: &'a mut Vector3D) -> Vector3D
impl<'a> Add<Vector3D> for &'a Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: Vector3D) -> Vector3D
impl Add<Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: Vector3D) -> Vector3D
impl<'a> Add<Vector3D> for &'a mut Vector3D
type Output = Vector3D
The resulting type after applying the + operator.
pub fn add(self, other: Vector3D) -> Vector3D
impl<'a> AddAssign<&'a Vector3D> for Vector3D
pub fn add_assign(&mut self, other: &'a Vector3D)
impl<'a> AddAssign<&'a mut Vector3D> for Vector3D
pub fn add_assign(&mut self, other: &'a mut Vector3D)
impl<'a> AddAssign<Vector3D> for Vector3D
pub fn add_assign(&mut self, other: Vector3D)
impl<'a> BitXor<&'a Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> BitXor<&'a Vector3D> for &'b mut Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> BitXor<&'a Vector3D> for &'b Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: &'a Vector3D) -> Vector3D
impl<'a> BitXor<&'a mut Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> BitXor<&'a mut Vector3D> for &'b mut Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> BitXor<&'a mut Vector3D> for &'b Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: &'a mut Vector3D) -> Vector3D
impl BitXor<Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: Vector3D) -> Vector3D
impl<'a> BitXor<Vector3D> for &'a mut Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: Vector3D) -> Vector3D
impl<'a> BitXor<Vector3D> for &'a Vector3D
type Output = Vector3D
The resulting type after applying the ^ operator.
pub fn bitxor(self, other: Vector3D) -> Vector3D
impl Clone for Vector3D
pub fn clone(&self) -> Vector3D
fn clone_from(&mut self, source: &Self)1.0.0[src]
impl Copy for Vector3D
impl Debug for Vector3D
impl Default for Vector3D
impl Deref for Vector3D
type Target = [f64; 3]
The resulting type after dereferencing.
pub fn deref(&self) -> &<Vector3D as Deref>::Target
impl DerefMut for Vector3D
impl<'a> Div<f64> for &'a mut Vector3D
type Output = Vector3D
The resulting type after applying the / operator.
pub fn div(self, other: f64) -> Vector3D
impl Div<f64> for Vector3D
type Output = Vector3D
The resulting type after applying the / operator.
pub fn div(self, other: f64) -> Vector3D
impl<'a> Div<f64> for &'a Vector3D
type Output = Vector3D
The resulting type after applying the / operator.
pub fn div(self, other: f64) -> Vector3D
impl<'a> DivAssign<&'a f64> for Vector3D
pub fn div_assign(&mut self, other: &'a f64)
impl<'a> DivAssign<&'a mut f64> for Vector3D
pub fn div_assign(&mut self, other: &'a mut f64)
impl<'a> DivAssign<f64> for Vector3D
pub fn div_assign(&mut self, other: f64)
impl From<[f64; 3]> for Vector3D
impl<'a, 'b> Mul<&'a Vector3D> for &'b mut Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: &'a Vector3D) -> Vector3D
impl<'a> Mul<&'a Vector3D> for Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> Mul<&'a Vector3D> for &'b Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: &'a Vector3D) -> f64
impl<'a> Mul<&'a Vector3D> for Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: &'a Vector3D) -> f64
impl<'a, 'b> Mul<&'a Vector3D> for &'b Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> Mul<&'a Vector3D> for &'b mut Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: &'a Vector3D) -> f64
impl<'a> Mul<&'a mut Vector3D> for Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> Mul<&'a mut Vector3D> for &'b mut Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: &'a mut Vector3D) -> Vector3D
impl<'a> Mul<&'a mut Vector3D> for Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: &'a mut Vector3D) -> f64
impl<'a, 'b> Mul<&'a mut Vector3D> for &'b Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> Mul<&'a mut Vector3D> for &'b Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: &'a mut Vector3D) -> f64
impl<'a, 'b> Mul<&'a mut Vector3D> for &'b mut Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: &'a mut Vector3D) -> f64
impl<'a> Mul<Vector3D> for &'a mut Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: Vector3D) -> Vector3D
impl<'a> Mul<Vector3D> for &'a mut Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: Vector3D) -> f64
impl Mul<Vector3D> for Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: Vector3D) -> Vector3D
impl<'a> Mul<Vector3D> for &'a Matrix3
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: Vector3D) -> Vector3D
impl Mul<Vector3D> for Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: Vector3D) -> f64
impl<'a> Mul<Vector3D> for &'a Vector3D
type Output = f64
The resulting type after applying the * operator.
pub fn mul(self, other: Vector3D) -> f64
impl Mul<f64> for Vector3D
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: f64) -> Vector3D
impl<'a> Mul<f64> for &'a Vector3D
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: f64) -> Vector3D
impl<'a> Mul<f64> for &'a mut Vector3D
type Output = Vector3D
The resulting type after applying the * operator.
pub fn mul(self, other: f64) -> Vector3D
impl<'a> MulAssign<&'a f64> for Vector3D
pub fn mul_assign(&mut self, other: &'a f64)
impl<'a> MulAssign<&'a mut f64> for Vector3D
pub fn mul_assign(&mut self, other: &'a mut f64)
impl<'a> MulAssign<f64> for Vector3D
pub fn mul_assign(&mut self, other: f64)
impl<'a> Neg for &'a Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn neg(self) -> Vector3D
impl<'a> Neg for &'a mut Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn neg(self) -> Vector3D
impl Neg for Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn neg(self) -> Vector3D
impl PartialEq<Vector3D> for Vector3D
impl PartialOrd<Vector3D> for Vector3D
pub fn partial_cmp(&self, other: &Vector3D) -> Option<Ordering>
pub fn lt(&self, other: &Vector3D) -> bool
pub fn le(&self, other: &Vector3D) -> bool
pub fn gt(&self, other: &Vector3D) -> bool
pub fn ge(&self, other: &Vector3D) -> bool
impl StructuralPartialEq for Vector3D
impl<'a, 'b> Sub<&'a Vector3D> for &'b Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> Sub<&'a Vector3D> for &'b mut Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: &'a Vector3D) -> Vector3D
impl<'a> Sub<&'a Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: &'a Vector3D) -> Vector3D
impl<'a, 'b> Sub<&'a mut Vector3D> for &'b mut Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: &'a mut Vector3D) -> Vector3D
impl<'a> Sub<&'a mut Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: &'a mut Vector3D) -> Vector3D
impl<'a, 'b> Sub<&'a mut Vector3D> for &'b Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: &'a mut Vector3D) -> Vector3D
impl Sub<Vector3D> for Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: Vector3D) -> Vector3D
impl<'a> Sub<Vector3D> for &'a Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: Vector3D) -> Vector3D
impl<'a> Sub<Vector3D> for &'a mut Vector3D
type Output = Vector3D
The resulting type after applying the - operator.
pub fn sub(self, other: Vector3D) -> Vector3D
impl<'a> SubAssign<&'a Vector3D> for Vector3D
pub fn sub_assign(&mut self, other: &'a Vector3D)
impl<'a> SubAssign<&'a mut Vector3D> for Vector3D
pub fn sub_assign(&mut self, other: &'a mut Vector3D)
impl<'a> SubAssign<Vector3D> for Vector3D
pub fn sub_assign(&mut self, other: Vector3D)
impl Zero for Vector3D
Auto Trait Implementations
impl RefUnwindSafe for Vector3D
impl Send for Vector3D
impl Sync for Vector3D
impl Unpin for Vector3D
impl UnwindSafe for Vector3D
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized, [src]
T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized, [src]
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized, [src]
T: ?Sized,
pub fn borrow_mut(&mut self) -> &mut T[src]
impl<T> From<T> for T[src]
impl<T, U> Into<U> for T where
U: From<T>, [src]
U: From<T>,
impl<T> Pointable for T
pub const ALIGN: usize
type Init = T
The type for initializers.
pub unsafe fn init(init: <T as Pointable>::Init) -> usize
pub unsafe fn deref<'a>(ptr: usize) -> &'a T
pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T
pub unsafe fn drop(ptr: usize)
impl<T> ToOwned for T where
T: Clone, [src]
T: Clone,
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T[src]
pub fn clone_into(&self, target: &mut T)[src]
impl<T, U> TryFrom<U> for T where
U: Into<T>, [src]
U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>[src]
impl<T, U> TryInto<U> for T where
U: TryFrom<T>, [src]
U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>[src]
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,