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Vec3

Struct Vec3 

#[repr(C)]
pub struct Vec3 { pub x: f32, pub y: f32, pub z: f32, }
Expand description

A 3-dimensional vector with f32 components.

Vec3 is the workhorse for positions, directions, and scales throughout the engine. It supports the usual arithmetic operators plus dot, cross, length, and normalize.

§Examples

use khora_core::math::Vec3;

// Component-wise arithmetic and scalar multiplication.
let a = Vec3::new(1.0, 2.0, 3.0);
let b = Vec3::new(4.0, 5.0, 6.0);
assert_eq!(a + b, Vec3::new(5.0, 7.0, 9.0));
assert_eq!(a * 2.0, Vec3::new(2.0, 4.0, 6.0));

// Dot product and the right-handed cross product of the basis axes.
assert_eq!(Vec3::X.dot(Vec3::Y), 0.0);
assert_eq!(Vec3::X.cross(Vec3::Y), Vec3::Z);

// Normalizing yields a unit-length direction.
let dir = Vec3::new(0.0, 3.0, 0.0).normalize();
assert_eq!(dir, Vec3::Y);

Fields§

§x: f32

The x component of the vector.

§y: f32

The y component of the vector.

§z: f32

The z component of the vector.

Implementations§

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impl Vec3

pub const ZERO: Vec3

A vector with all components set to 0.0.

pub const ONE: Vec3

A vector with all components set to 1.0.

pub const X: Vec3

The unit vector pointing along the positive X-axis.

pub const Y: Vec3

The unit vector pointing along the positive Y-axis.

pub const Z: Vec3

The unit vector pointing along the positive Z-axis.

pub const NEG_X: Vec3

The unit vector pointing along the negative X-axis.

pub const NEG_Y: Vec3

The unit vector pointing along the negative Y-axis.

pub const NEG_Z: Vec3

The unit vector pointing along the negative Z-axis.

pub const fn new(x: f32, y: f32, z: f32) -> Vec3

Creates a new Vec3 with the specified components.

pub const fn abs(self) -> Vec3

Returns a new vector with the absolute value of each component.

pub fn max_element(self) -> f32

Returns the largest component of the vector (signed).

Useful for major-axis selection in cubemap sampling and bounding-box checks. Note that this is not the absolute maximum — for that, call .abs().max_element().

pub fn min_element(self) -> f32

Returns the smallest component of the vector (signed).

pub fn length_squared(&self) -> f32

Calculates the squared length (magnitude) of the vector.

pub fn length(&self) -> f32

Calculates the length (magnitude) of the vector.

pub fn normalize(&self) -> Vec3

Returns a normalized version of the vector with a length of 1.

pub fn dot(&self, other: Vec3) -> f32

Calculates the dot product of this vector and another.

pub fn cross(&self, other: Vec3) -> Vec3

Computes the cross product of this vector and another.

pub fn distance_squared(&self, other: Vec3) -> f32

Calculates the squared distance between this vector and another.

pub fn distance(&self, other: Vec3) -> f32

Calculates the distance between this vector and another.

pub fn lerp(start: Vec3, end: Vec3, t: f32) -> Vec3

Performs a linear interpolation between two vectors.

pub fn get(&self, index: usize) -> f32

Retrieves a component of the vector by its index.

§Panics

Panics if index is not 0, 1, or 2.

Trait Implementations§

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impl Add for Vec3

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fn add(self, rhs: Vec3) -> <Vec3 as Add>::Output

Adds two vectors component-wise.

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type Output = Vec3

The resulting type after applying the + operator.
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impl<'__de, __Context> BorrowDecode<'__de, __Context> for Vec3

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fn borrow_decode<__D>(decoder: &mut __D) -> Result<Vec3, DecodeError>
where __D: BorrowDecoder<'__de, Context = __Context>,

Attempt to decode this type with the given BorrowDecode.
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impl Clone for Vec3

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fn clone(&self) -> Vec3

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for Vec3

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

Formats the value using the given formatter. Read more
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impl<__Context> Decode<__Context> for Vec3

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fn decode<__D>(decoder: &mut __D) -> Result<Vec3, DecodeError>
where __D: Decoder<Context = __Context>,

Attempt to decode this type with the given Decode.
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impl Default for Vec3

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fn default() -> Vec3

Returns Vec3::ZERO.

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impl<'de> Deserialize<'de> for Vec3

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fn deserialize<__D>( __deserializer: __D, ) -> Result<Vec3, <__D as Deserializer<'de>>::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Div<f32> for Vec3

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fn div(self, rhs: f32) -> <Vec3 as Div<f32>>::Output

Divides the vector by a scalar.

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type Output = Vec3

The resulting type after applying the / operator.
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impl Encode for Vec3

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fn encode<__E>(&self, encoder: &mut __E) -> Result<(), EncodeError>
where __E: Encoder,

Encode a given type.
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impl Index<usize> for Vec3

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fn index(&self, index: usize) -> &<Vec3 as Index<usize>>::Output

Allows accessing a vector component by index.

§Panics

Panics if index is not 0, 1, or 2.

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type Output = f32

The returned type after indexing.
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impl IndexMut<usize> for Vec3

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fn index_mut(&mut self, index: usize) -> &mut <Vec3 as Index<usize>>::Output

Allows mutably accessing a vector component by index.

§Panics

Panics if index is not 0, 1, or 2.

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impl Mul<Vec3> for Mat3

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fn mul(self, v: Vec3) -> <Mat3 as Mul<Vec3>>::Output

Transforms a Vec3 by this matrix.

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type Output = Vec3

The resulting type after applying the * operator.
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impl Mul<Vec3> for Quaternion

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fn mul(self, rhs: Vec3) -> <Quaternion as Mul<Vec3>>::Output

Rotates a Vec3 by this quaternion.

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type Output = Vec3

The resulting type after applying the * operator.
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impl Mul<f32> for Vec3

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fn mul(self, rhs: f32) -> <Vec3 as Mul<f32>>::Output

Multiplies the vector by a scalar.

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type Output = Vec3

The resulting type after applying the * operator.
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impl Mul for Vec3

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fn mul(self, rhs: Vec3) -> <Vec3 as Mul>::Output

Multiplies two vectors component-wise.

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type Output = Vec3

The resulting type after applying the * operator.
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impl Neg for Vec3

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fn neg(self) -> <Vec3 as Neg>::Output

Negates the vector.

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type Output = Vec3

The resulting type after applying the - operator.
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impl PartialEq for Vec3

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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 Serialize for Vec3

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fn serialize<__S>( &self, __serializer: __S, ) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl Sub for Vec3

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fn sub(self, rhs: Vec3) -> <Vec3 as Sub>::Output

Subtracts two vectors component-wise.

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type Output = Vec3

The resulting type after applying the - operator.
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impl Zeroable for Vec3

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fn zeroed() -> Self

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impl Copy for Vec3

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impl Pod for Vec3

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impl StructuralPartialEq for Vec3

Auto Trait Implementations§

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impl Freeze for Vec3

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impl RefUnwindSafe for Vec3

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impl Send for Vec3

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impl Sync for Vec3

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impl Unpin for Vec3

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impl UnsafeUnpin for Vec3

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impl UnwindSafe for Vec3

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where T: 'static + ?Sized,

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Gets the TypeId of self. Read more
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Returns a reference to the inner value as &dyn Any.
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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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where T: AnyBitPattern,

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type Bits = T

Self must have the same layout as the specified Bits except for the possible invalid bit patterns being checked during is_valid_bit_pattern.
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If this function returns true, then it must be valid to reinterpret bits as &Self.
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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
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fn downcast(&self) -> &T

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impl<T> Downcast for T
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