Struct Tetrahedron

pub struct Tetrahedron {
    pub vertices: [Vec3; 4],
}

A tetrahedron primitive.

Fields

vertices: [Vec3; 4]

The vertices of the tetrahedron.

Implementations

impl Tetrahedron

pub fn new(a: Vec3, b: Vec3, c: Vec3, d: Vec3) -> Self

Create a new Tetrahedron from points a, b, c and d.

pub fn signed_volume(&self) -> f32

Get the signed volume of the tetrahedron.

If it’s negative, the normal vector of the face defined by the first three points using the right-hand rule points away from the fourth vertex.

pub fn centroid(&self) -> Vec3

Get the centroid of the tetrahedron.

This function finds the geometric center of the tetrahedron by averaging the vertices: centroid = (a + b + c + d) / 4.

pub fn faces(&self) -> [Triangle3d; 4]

Get the triangles that form the faces of this tetrahedron.

Note that the orientations of the faces are determined by that of the tetrahedron; if the signed volume of this tetrahedron is positive, then the triangles’ normals will point outward, and if the signed volume is negative they will point inward.

Trait Implementations

impl Clone for Tetrahedron

fn clone(&self) -> Tetrahedron

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Tetrahedron

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

Formats the value using the given formatter.

impl Default for Tetrahedron

fn default() -> Self

Returns the default Tetrahedron with the vertices [0.5, 0.5, 0.5], [-0.5, 0.5, -0.5], [-0.5, -0.5, 0.5] and [0.5, -0.5, -0.5].

impl<'de> Deserialize<'de> for Tetrahedron

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl FromReflect for Tetrahedron

where Self: Any + Send + Sync, [Vec3; 4]: FromReflect + TypePath + RegisterForReflection,

fn from_reflect(reflect: &dyn Reflect) -> Option<Self>

Constructs a concrete instance of Self from a reflected value.

fn take_from_reflect( reflect: Box<dyn Reflect>, ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails.

impl GetTypeRegistration for Tetrahedron

where Self: Any + Send + Sync, [Vec3; 4]: FromReflect + TypePath + RegisterForReflection,

fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.

fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type.

impl Measured3d for Tetrahedron

fn area(&self) -> f32

Get the surface area of the tetrahedron.

fn volume(&self) -> f32

Get the volume of the tetrahedron.

impl PartialEq for Tetrahedron

fn eq(&self, other: &Tetrahedron) -> 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 Reflect for Tetrahedron

where Self: Any + Send + Sync, [Vec3; 4]: FromReflect + TypePath + RegisterForReflection,

fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value.

fn into_any(self: Box<Self>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.

fn as_any(&self) -> &dyn Any

Returns the value as a &dyn Any.

fn as_any_mut(&mut self) -> &mut dyn Any

Returns the value as a &mut dyn Any.

fn into_reflect(self: Box<Self>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.

fn as_reflect(&self) -> &dyn Reflect

Casts this type to a reflected value.

fn as_reflect_mut(&mut self) -> &mut dyn Reflect

Casts this type to a mutable reflected value.

fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object.

fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value.

fn try_apply(&mut self, value: &dyn Reflect) -> Result<(), ApplyError>

Tries to apply a reflected value to this value.

fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type.

fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type.

fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type.

fn reflect_owned(self: Box<Self>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type.

fn reflect_partial_eq(&self, value: &dyn Reflect) -> Option<bool>

Returns a “partial equality” comparison result.

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

Debug formatter for the value.

fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value.

fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type).

fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value.

fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type.

impl Serialize for Tetrahedron

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl ShapeSample for Tetrahedron

Available on crate feature rand only.

type Output = Vec3

The type of vector returned by the sample methods, Vec2 for 2D shapes and Vec3 for 3D shapes.

fn sample_interior<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::Output

Uniformly sample a point from inside the area/volume of this shape, centered on 0.

fn sample_boundary<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::Output

Uniformly sample a point from the surface of this shape, centered on 0.

fn interior_dist(self) -> impl Distribution<Self::Output>

where Self: Sized,

Extract a Distribution whose samples are points of this shape’s interior, taken uniformly.

fn boundary_dist(self) -> impl Distribution<Self::Output>

where Self: Sized,

Extract a Distribution whose samples are points of this shape’s boundary, taken uniformly.

impl Struct for Tetrahedron

where Self: Any + Send + Sync, [Vec3; 4]: FromReflect + TypePath + RegisterForReflection,

fn field(&self, name: &str) -> Option<&dyn Reflect>

Returns a reference to the value of the field named name as a &dyn Reflect.

fn field_mut(&mut self, name: &str) -> Option<&mut dyn Reflect>

Returns a mutable reference to the value of the field named name as a &mut dyn Reflect.

fn field_at(&self, index: usize) -> Option<&dyn Reflect>

Returns a reference to the value of the field with index index as a &dyn Reflect.

fn field_at_mut(&mut self, index: usize) -> Option<&mut dyn Reflect>

Returns a mutable reference to the value of the field with index index as a &mut dyn Reflect.

fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.

fn field_len(&self) -> usize

Returns the number of fields in the struct.

fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.

fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.

impl TypePath for Tetrahedron

where Self: Any + Send + Sync,

fn type_path() -> &'static str

Returns the fully qualified path of the underlying type.

fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type.

fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous.

fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous.

fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous.

impl Typed for Tetrahedron

where Self: Any + Send + Sync, [Vec3; 4]: FromReflect + TypePath + RegisterForReflection,

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.

impl Copy for Tetrahedron

impl Primitive3d for Tetrahedron

impl StructuralPartialEq for Tetrahedron