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Vector3

Struct Vector3 

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

A 3D vector.

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§x: f64§y: f64§z: f64

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impl Vector3

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pub const ZERO: Self

Zero vector.

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pub const UNIT_X: Self

Unit vector along the X axis.

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pub const UNIT_Y: Self

Unit vector along the Y axis.

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pub const UNIT_Z: Self

Unit vector along the Z axis.

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

Creates a new 3D vector.

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pub fn length(&self) -> f64

Euclidean length.

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pub fn length_sq(&self) -> f64

Squared length (avoids sqrt).

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pub fn normalized(&self) -> Self

Returns a normalized (unit-length) vector, or zero vector if length is ~0.

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

Cross product.

Returns a vector perpendicular to both self and other, following the right-hand rule.

§Reference

Standard 3D cross product: a × b = (a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x)

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

Dot product.

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

Converts to an array [x, y, z].

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impl Add<Vector3> for Point3

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type Output = Point3

The resulting type after applying the + operator.
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fn add(self, rhs: Vector3) -> Point3

Performs the + operation. Read more
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impl Add for Vector3

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type Output = Vector3

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self

Performs the + operation. Read more
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impl Clone for Vector3

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fn clone(&self) -> Vector3

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Vector3

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

Formats the value using the given formatter. Read more
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impl Mul<f64> for Vector3

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type Output = Vector3

The resulting type after applying the * operator.
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fn mul(self, rhs: f64) -> Self

Performs the * operation. Read more
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impl PartialEq for Vector3

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Sub<Vector3> for Point3

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type Output = Point3

The resulting type after applying the - operator.
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fn sub(self, rhs: Vector3) -> Point3

Performs the - operation. Read more
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impl Sub for Vector3

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type Output = Vector3

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self

Performs the - operation. Read more
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impl Copy for Vector3

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impl StructuralPartialEq for Vector3

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,