Struct meshx::prim::triangle::Triangle

impl<T: Scalar> Triangle<T>

pub fn from_indexed_slice<V: Into<[T; 3]> + Clone>( indices: &[usize; 3], slice: &[V] ) -> Triangle<T>

Build a Triangle from a triplet of indices.

pub fn new([a, b, c]: [[T; 3]; 3]) -> Self

Build a new triangle from an array of vertex positions.

impl<T: Scalar + Pod> Triangle<T>

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

Return this triangle as an array of vertex positions.

This can be useful for performing custom arithmetic on the triangle positions.

impl<T: Scalar> Triangle<T>

pub fn into_array(self) -> [[T; 3]; 3]

Convert this triangle into an array of vertex positions.

impl<T> Triangle<T>
where T: Scalar + Zero + ClosedAdd<T> + ClosedMul<T> + ClosedSub<T> + Neg<Output = T>,

pub fn area_normal(&self) -> [T; 3]

Compute the area weighted normal of this triangle. This is the standard way to compute the normal and the area of the triangle.

Note the area of the triangle is half of the norm of this vector.

pub fn area_normal_gradient(&self, wrt: usize) -> [[T; 3]; 3]

Compute the gradient of the area weighted normal with respect to the given vertex. The returned matrix is in column-major format.

pub fn area_normal_hessian_product( wrt_row: usize, at_col: usize, lambda: [T; 3] ) -> [[T; 3]; 3]

Compute the hessian of the area weighted normal with respect to the given vertex (row index) at a given vertex (column index) multiplied by a given vector (lambda).

The returned matrix is in column-major format.

Trait Implementations§

impl<'a, T> Area<T> for &'a Triangle<T>
where T: SimdRealField,

fn area(self) -> T

Compute the area of the object.

fn signed_area(self) -> T

Compute the signed area of the object. The area is negative when the object is inverted.

impl<T> Area<T> for Triangle<T>
where T: SimdRealField,

fn area(self) -> T

Compute the area of the object.

fn signed_area(self) -> T

Compute the signed area of the object. The area is negative when the object is inverted.

impl<'a, T> Centroid<[T; 3]> for &'a Triangle<T>
where T: Scalar + ClosedAdd<T> + ClosedDiv<T> + FromPrimitive,

fn centroid(self) -> [T; 3]

Compute the centroid of the object.

impl<'a, T> Centroid<Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>> for &'a Triangle<T>
where T: Scalar + ClosedAdd<T> + ClosedDiv<T> + FromPrimitive,

fn centroid(self) -> Vector3<T>

Compute the centroid of the object.

impl<T: Clone + Scalar> Clone for Triangle<T>

fn clone(&self) -> Triangle<T>

Returns a copy of the value. Read more

1.0.0 · source§

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

Performs copy-assignment from source. Read more

impl<T: Debug + Scalar> Debug for Triangle<T>

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

Formats the value using the given formatter. Read more

impl<T: Scalar> Index<usize> for Triangle<T>

type Output = Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>

The returned type after indexing.

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

Performs the indexing (container[index]) operation. Read more

impl<T: Scalar> IndexMut<usize> for Triangle<T>

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

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

impl<'a, T> Normal<[T; 3]> for &'a Triangle<T>
where T: SimdRealField,

fn normal(self) -> [T; 3]

Compute the unit normal of this object.

impl<'a, T> Normal<Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>> for &'a Triangle<T>
where T: SimdRealField,

fn normal(self) -> Vector3<T>

Compute the unit normal of this object.

impl<T: PartialEq + Scalar> PartialEq for Triangle<T>

fn eq(&self, other: &Triangle<T>) -> bool

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

1.0.0 · source§

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<'a, T: Scalar + ClosedSub<T>> ShapeMatrix<[[T; 3]; 2]> for &'a Triangle<T>

Returns a column major 3x2 matrix.

fn shape_matrix(self) -> [[T; 3]; 2]

Return a shape matrix of the given type M.

impl<T: Scalar + ClosedSub<T>> ShapeMatrix<[[T; 3]; 2]> for Triangle<T>

Returns a column major 3x2 matrix.

fn shape_matrix(self) -> [[T; 3]; 2]

Return a shape matrix of the given type M.

impl<T: Copy + Scalar> Copy for Triangle<T>

impl<T: Scalar> StructuralPartialEq for Triangle<T>

Auto Trait Implementations§

impl<T> UnwindSafe for Triangle<T>
where T: UnwindSafe,

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more

impl<T> Bytes for T

fn as_bytes(&self) -> &[u8] ⓘ

Get a slice of bytes representing Self.

fn interpret_bytes(bytes: &[u8]) -> &Self

Panics if the size of the given bytes slice is not equal to the size of Self.

impl<T> CloneBytes for T
where T: Clone + 'static,

unsafe fn clone_bytes(src: &[MaybeUninit<u8>]) -> Box<[MaybeUninit<u8>]>

unsafe fn clone_from_bytes(dst: &mut [MaybeUninit<u8>], src: &[MaybeUninit<u8>])

unsafe fn clone_into_raw_bytes( src: &[MaybeUninit<u8>], dst: &mut [MaybeUninit<u8>] )

impl<T> DebugBytes for T
where T: Debug + 'static,

unsafe fn fmt_bytes( bytes: &[MaybeUninit<u8>], f: &mut Formatter<'_> ) -> Result<(), Error>

impl<T> Downcast for T
where T: Any,

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

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.

fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.

fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.

fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.

impl<T> DowncastSync for T
where T: Any + Send + Sync,

fn into_any_arc(self: Arc<T>) -> Arc<dyn Any + Sync + Send>

Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.

impl<T> DropBytes for T
where T: 'static,

unsafe fn drop_bytes(bytes: &mut [MaybeUninit<u8>])

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<'a, S, I> Get<'a, I> for S
where I: GetIndex<'a, S>,

type Output = >::Output

fn get(&self, idx: I) -> Option<>::Output>

fn at(&self, idx: I) -> Self::Output

Return a value at the given index. This is provided as the checked version of get that will panic if the equivalent get call is None, which typically means that the given index is out of bounds. Read more

unsafe fn at_unchecked(&self, idx: I) -> Self::Output

Return a value at the given index. Read more

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

fn into(self) -> U

Calls U::from(self).

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

impl<S, I> Isolate for S
where I: IsolateIndex<S>,

type Output = >::Output

unsafe fn isolate_unchecked(self, idx: I) -> <S as Isolate>::Output

Unchecked version of isolate. Read more

fn try_isolate(self, idx: I) -> Option<<S as Isolate>::Output>

fn isolate(self, idx: I) -> Self::Output
where Self: Sized,

Return a value at the given index. This is provided as the checked version of try_isolate that will panic if the equivalent try_isolate call is None, which typically means that the given index is out of bounds. Read more