Struct gut::prim::Triangle

pub struct Triangle<T>(pub Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>, pub Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>, pub Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>)
 where
    T: Scalar;

Generic triangle with three points

Tuple Fields

0: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>

1: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>

2: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>

Implementations

impl<T> Triangle<T> where
    T: Scalar, 

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

Build a Triangle from a triplet of indices.

pub fn new([[T; 3]; 3]) -> Triangle<T>

Build a new triangle from an array of vertex positions.

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

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> where
    T: Scalar, 

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

pub fn area(self) -> T

Compute the area of the object.

pub fn signed_area(self) -> T

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

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

pub fn area(self) -> T

Compute the area of the object.

pub 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, 

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

Compute the centroid of the object.

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

pub fn centroid(
    self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>

Compute the centroid of the object.

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

pub 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> Debug for Triangle<T> where
    T: Debug + Scalar, 

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

Formats the value using the given formatter.

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

type Output = Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>

The returned type after indexing.

pub fn index(&self, i: usize) -> &<Triangle<T> as Index<usize>>::Output

Performs the indexing (container[index]) operation.

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

pub fn index_mut(
    &mut self,
    i: usize
) -> &mut <Triangle<T> as Index<usize>>::Output

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

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

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

Compute the unit normal of this object.

impl<'a, T> Normal<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>> for &'a Triangle<T> where
    T: SimdRealField, 

pub fn normal(
    self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>

Compute the unit normal of this object.

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

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

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

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

This method tests for !=.

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

Returns a column major 3x2 matrix.

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

Return a shape matrix of the given type M.

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

Returns a column major 3x2 matrix.

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

Return a shape matrix of the given type M.

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

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