Struct ultraviolet::vec::DVec3

#[repr(C)]
pub struct DVec3 {
    pub x: f64,
    pub y: f64,
    pub z: f64,
}

A set of three coordinates which may be interpreted as a point or vector in 3d space, or as a homogeneous 2d vector or point.

Generally this distinction between a point and vector is more of a pain than it is worth to distinguish on a type level, however when converting to and from homogeneous coordinates it is quite important.

Fields

x: f64

y: f64

z: f64

Implementations

impl DVec3

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

pub const fn broadcast(val: f64) -> Self

pub fn unit_x() -> Self

pub fn unit_y() -> Self

pub fn unit_z() -> Self

pub fn into_homogeneous_point(self) -> DVec4

Create a homogeneous 3d point from this vector interpreted as a point, meaning the homogeneous component will start with a value of 1.0.

pub fn into_homogeneous_vector(self) -> DVec4

Create a homogeneous 3d vector from this vector, meaning the homogeneous component will always have a value of 0.0.

pub fn from_homogeneous_point(v: DVec4) -> Self

Create a 3d point from a homogeneous 3d point, performing division by the homogeneous component. This should not be used for homogeneous 3d vectors, which will have 0 as their homogeneous component.

pub fn from_homogeneous_vector(v: DVec4) -> Self

Create a 3d vector from homogeneous 2d vector, which simply discards the homogeneous component.

pub fn dot(&self, other: DVec3) -> f64

pub fn wedge(&self, other: DVec3) -> DBivec3

The wedge (aka exterior) product of two vectors.

This operation results in a bivector, which represents the plane parallel to the two vectors, and which has a ‘oriented area’ equal to the parallelogram created by extending the two vectors, oriented such that the positive direction is the one which would move self closer to other.

pub fn geom(&self, other: DVec3) -> DRotor3

The geometric product of this and another vector, which is defined as the sum of the dot product and the wedge product.

This operation results in a ‘rotor’, named as such as it may define a rotation. The rotor which results from the geometric product will rotate in the plane parallel to the two vectors, by twice the angle between them and in the opposite direction (i.e. it will rotate in the direction that would bring other towards self, and rotate in that direction by twice the angle between them).

pub fn rotate_by(&mut self, rotor: DRotor3)

pub fn rotated_by(self, rotor: DRotor3) -> Self

pub fn cross(&self, other: DVec3) -> Self

pub fn reflect(&mut self, normal: DVec3)

pub fn reflected(&self, normal: DVec3) -> Self

pub fn mag_sq(&self) -> f64

pub fn mag(&self) -> f64

pub fn normalize(&mut self)

pub fn normalized(&self) -> Self

pub fn normalize_homogeneous_point(&mut self)

Normalize self in-place by interpreting it as a homogeneous point, i.e. scaling the vector to ensure the homogeneous component has length 1.

pub fn normalized_homogeneous_point(&self) -> Self

Normalize self by interpreting it as a homogeneous point, i.e. scaling the vector to ensure the homogeneous component has length 1.

pub fn truncated(&self) -> DVec2

Convert self into a Vec2 by simply removing its z component.

pub fn mul_add(&self, mul: DVec3, add: DVec3) -> Self

pub fn abs(&self) -> Self

pub fn clamp(&mut self, min: Self, max: Self)

pub fn clamped(self, min: Self, max: Self) -> Self

pub fn map<F>(&self, f: F) -> Selfwhere F: FnMut(f64) -> f64,

pub fn apply<F>(&mut self, f: F)where F: FnMut(f64) -> f64,

pub fn max_by_component(self, other: Self) -> Self

pub fn min_by_component(self, other: Self) -> Self

pub fn component_max(&self) -> f64

pub fn component_min(&self) -> f64

pub fn zero() -> Self

pub fn one() -> Self

pub const fn xy(&self) -> DVec2

pub fn xyzw(&self) -> DVec4

pub fn layout() -> Layout

Get the core::alloc::Layout of Self

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

Interpret self as a statically-sized array of its base numeric type

pub fn as_mut_array(&mut self) -> &mut [f64; 3]

Interpret self as a statically-sized array of its base numeric type

pub fn as_slice(&self) -> &[f64]

Interpret self as a slice of its base numeric type

pub fn as_mut_slice(&mut self) -> &mut [f64]

Interpret self as a slice of its base numeric type

pub fn as_byte_slice(&self) -> &[u8]

pub fn as_mut_byte_slice(&mut self) -> &mut [u8]

pub const fn as_ptr(&self) -> *const f64

Returns a constant unsafe pointer to the underlying data in the underlying type. This function is safe because all types here are repr(C) and can be represented as their underlying type.

Safety

It is up to the caller to correctly use this pointer and its bounds.

pub fn as_mut_ptr(&mut self) -> *mut f64

Returns a mutable unsafe pointer to the underlying data in the underlying type. This function is safe because all types here are repr(C) and can be represented as their underlying type.

Safety

It is up to the caller to correctly use this pointer and its bounds.

impl DVec3

pub fn refract(&mut self, normal: Self, eta: f64)

pub fn refracted(&self, normal: Self, eta: f64) -> Self

Trait Implementations

impl Add<DVec3> for DVec3

type Output = DVec3

The resulting type after applying the + operator.

fn add(self, rhs: DVec3) -> Self

Performs the + operation.

impl AddAssign<DVec3> for DVec3

fn add_assign(&mut self, rhs: DVec3)

Performs the += operation.

impl Clone for DVec3

fn clone(&self) -> DVec3

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for DVec3

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

Formats the value using the given formatter.

impl Default for DVec3

fn default() -> DVec3

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for DVec3

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Div<DVec3> for DVec3

type Output = DVec3

The resulting type after applying the / operator.

fn div(self, rhs: DVec3) -> Self

Performs the / operation.

impl Div<f64> for DVec3

type Output = DVec3

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> DVec3

Performs the / operation.

impl DivAssign<DVec3> for DVec3

fn div_assign(&mut self, rhs: DVec3)

Performs the /= operation.

impl DivAssign<f64> for DVec3

fn div_assign(&mut self, rhs: f64)

Performs the /= operation.

impl From<&[f64; 3]> for DVec3

fn from(comps: &[f64; 3]) -> Self

Converts to this type from the input type.

impl From<&(f64, f64, f64)> for DVec3

fn from(comps: &(f64, f64, f64)) -> Self

Converts to this type from the input type.

impl From<&mut [f64; 3]> for DVec3

fn from(comps: &mut [f64; 3]) -> Self

Converts to this type from the input type.

impl From<[f64; 3]> for DVec3

fn from(comps: [f64; 3]) -> Self

Converts to this type from the input type.

impl From<(f64, f64, f64)> for DVec3

fn from(comps: (f64, f64, f64)) -> Self

Converts to this type from the input type.

impl From<DVec2> for DVec3

fn from(vec: DVec2) -> Self

Converts to this type from the input type.

impl From<DVec3> for [f64; 3]

fn from(v: DVec3) -> Self

Converts to this type from the input type.

impl From<DVec3> for (f64, f64, f64)

fn from(v: DVec3) -> Self

Converts to this type from the input type.

impl From<DVec3> for DVec2

fn from(vec: DVec3) -> Self

Converts to this type from the input type.

impl From<DVec3> for DVec4

fn from(vec: DVec3) -> Self

Converts to this type from the input type.

impl From<DVec3> for Point3<f64>

fn from(v: DVec3) -> Self

Converts to this type from the input type.

impl From<DVec3> for Vector3<f64>

fn from(v: DVec3) -> Self

Converts to this type from the input type.

impl From<DVec4> for DVec3

fn from(vec: DVec4) -> Self

Converts to this type from the input type.

impl From<IVec3> for DVec3

fn from(v: IVec3) -> Self

Converts to this type from the input type.

impl From<Point3<f64>> for DVec3

fn from(v: Point3<f64>) -> Self

Converts to this type from the input type.

impl From<UVec3> for DVec3

fn from(v: UVec3) -> Self

Converts to this type from the input type.

impl From<Vector3<f64>> for DVec3

fn from(v: Vector3<f64>) -> Self

Converts to this type from the input type.

impl Index<usize> for DVec3

type Output = f64

The returned type after indexing.

fn index(&self, index: usize) -> &Self::Output

Performs the indexing (container[index]) operation.

impl IndexMut<usize> for DVec3

fn index_mut(&mut self, index: usize) -> &mut Self::Output

Performs the mutable indexing (container[index]) operation.

impl Lerp<f64> for DVec3

fn lerp(&self, end: Self, t: f64) -> Self

Linearly interpolate between self and end by t between 0.0 and 1.0. i.e. (1.0 - t) * self + (t) * end.

For interpolating Rotors with linear interpolation, you almost certainly want to normalize the returned Rotor. For example,

let interpolated_rotor = rotor1.lerp(rotor2, 0.5).normalized();

For most cases (especially where performance is the primary concern, like in animation interpolation for games, this ‘normalized lerp’ or ‘nlerp’ is probably what you want to use. However, there are situations in which you really want the interpolation between two Rotors to be of constant angular velocity. In this case, check out Slerp.

impl Mul<DVec3> for DIsometry3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, vec: DVec3) -> DVec3

Performs the * operation.

impl Mul<DVec3> for DMat3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, rhs: DVec3) -> DVec3

Performs the * operation.

impl Mul<DVec3> for DRotor3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, rhs: DVec3) -> DVec3

Performs the * operation.

impl Mul<DVec3> for DSimilarity3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, vec: DVec3) -> DVec3

Performs the * operation.

impl Mul<DVec3> for DVec3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, rhs: DVec3) -> Self

Performs the * operation.

impl Mul<DVec3> for f64

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, rhs: DVec3) -> DVec3

Performs the * operation.

impl Mul<f64> for DVec3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> DVec3

Performs the * operation.

impl MulAssign<DVec3> for DVec3

fn mul_assign(&mut self, rhs: DVec3)

Performs the *= operation.

impl MulAssign<f64> for DVec3

fn mul_assign(&mut self, rhs: f64)

Performs the *= operation.

impl Neg for DVec3

type Output = DVec3

The resulting type after applying the - operator.

fn neg(self) -> DVec3

Performs the unary - operation.

impl PartialEq<DVec3> for DVec3

fn eq(&self, other: &DVec3) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Serialize for DVec3

fn serialize<T>(&self, serializer: T) -> Result<T::Ok, T::Error>where T: Serializer,

Serialize this value into the given Serde serializer.

impl Slerp<f64> for DVec3

fn slerp(&self, end: Self, t: f64) -> Self

Spherical-linear interpolation between self and end based on t from 0.0 to 1.0.

self and end should both be normalized or something bad will happen!

The implementation for SIMD types also requires that the two things being interpolated between are not exactly aligned, or else the result is undefined.

Basically, interpolation that maintains a constant angular velocity from one orientation on a unit hypersphere to another. This is sorta the “high quality” interpolation for Rotors, and it can also be used to interpolate other things, one example being interpolation of 3d normal vectors.

Note that you should often normalize the result returned by this operation, when working with Rotors, etc!

impl Sub<DVec3> for DVec3

type Output = DVec3

The resulting type after applying the - operator.

fn sub(self, rhs: DVec3) -> Self

Performs the - operation.

impl SubAssign<DVec3> for DVec3

fn sub_assign(&mut self, rhs: DVec3)

Performs the -= operation.

impl Sum<DVec3> for DVec3

fn sum<I>(iter: I) -> Selfwhere I: Iterator<Item = Self>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl TryFrom<DVec3> for IVec3

fn try_from(v: DVec3) -> Result<Self, Self::Error>

Tries to convert the source to Self in a lossy way, flooring any float value.

Errors

• NaN - If a float value is NaN.
• NotFinite - If a float value is infinity or negative infinity.
• PosOverflow - If a float value would be greater than the the self.component max value.
• NegOverflow - If a float value would be less than the self.component min value.

type Error = FloatConversionError

The type returned in the event of a conversion error.

impl TryFrom<DVec3> for UVec3

fn try_from(v: DVec3) -> Result<Self, Self::Error>

Tries to convert the source to Self in a lossy way, flooring any float value.

Errors

• NaN - If a float value is NaN.
• NotFinite - If a float value is infinity or negative infinity.
• PosOverflow - If a float value would be greater than the the self.component max value.
• NegOverflow - If a float value would be less than the self.component min value.

type Error = FloatConversionError

The type returned in the event of a conversion error.

impl Zeroable for DVec3

fn zeroed() -> Self

Calls zeroed.

impl Copy for DVec3

impl Pod for DVec3

impl StructuralPartialEq for DVec3