Struct gut::prim::triangle::Triangle

pub struct Triangle<T>(pub Vector3<T>, pub Vector3<T>, pub Vector3<T>);

Generic triangle with three points

Methods

impl<T: Clone> 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: 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> Triangle<T>

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

Convert this triangle into an array of vertex positions.

impl<T: BaseNum + Neg<Output = T>> Triangle<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.

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: BaseNum> Centroid<Vector3<T>> for &'a Triangle<T>

fn centroid(self) -> Vector3<T>

Compute the centroid of the object.

impl<'a, T: BaseNum> Centroid<[T; 3]> for &'a Triangle<T>

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

Compute the centroid of the object.

impl<'a, T: BaseFloat + Neg<Output = T>> Area<T> for &'a Triangle<T>

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: BaseFloat + Neg<Output = T>> Area<T> for Triangle<T>

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: BaseNum> 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: BaseNum> 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<'a, T: BaseFloat + Neg<Output = T>> Normal<Vector3<T>> for &'a Triangle<T>

fn normal(self) -> Vector3<T>

Compute the unit normal of this object.

impl<'a, T: BaseFloat + Neg<Output = T>> Normal<[T; 3]> for &'a Triangle<T>

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

Compute the unit normal of this object.

impl<T: Clone> Clone for Triangle<T>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Copy> Copy for Triangle<T>

impl<T: PartialEq> PartialEq<Triangle<T>> 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 ==.

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

This method tests for !=.

impl<T: Debug> Debug for Triangle<T>

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

Formats the value using the given formatter.

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

type Output = Vector3<T>

The returned type after indexing.

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

Performs the indexing (container[index]) operation.

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

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

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

impl<T> StructuralPartialEq for Triangle<T>