Struct Triangle

pub struct Triangle<T> {
    pub a: Point<T>,
    pub b: Point<T>,
    pub c: Point<T>,
}

A triangles is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Arguments

• a:
• b:
• c:

returns: Triangle

Examples

Fields

a: Point<T>

The 1st vertex of the triangle.

b: Point<T>

The 2nd vertex of the triangle.

c: Point<T>

The 3rd vertex of the triangle.

Implementations

impl<T> Triangle<T>

pub fn new<P>(a: P, b: P, c: P) -> Self

where P: Into<Point<T>>,

Create a new triangle from three points.

pub fn from_mesh(vertexes: &[Point<T>], index: TriangleIndex) -> Self

where T: Clone,

Create a triangle from a mesh and a triangles index.

impl<T> Triangle<T>

where T: Clone + AddAssign + Real,

pub fn is_congruent(&self) -> bool

Returns true if the triangle is equilateral.

pub fn is_isosceles(&self) -> bool

Returns true if the triangle is equilateral.

pub fn perimeter(&self) -> T

Returns the perimeter of the triangle.

pub fn area(&self) -> T

Returns the area of the triangles.

pub fn inscribed_circle(&self) -> Circle<T>

Get the inscribed circle of the triangles

pub fn circumscribed_circle(&self) -> Circle<T>

Get the circumscribed circle of the triangles.

Trait Implementations

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

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

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

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

Formats the value using the given formatter.

impl<T: Float> EuclideanDistance<T, Triangle<T>> for Point<T>

fn euclidean_distance(&self, rhs: &Triangle<T>) -> T

fn euclidean_squared(&self, rhs: &Triangle<T>) -> T

It is especially suitable when only the length needs to be compared

impl<T> Projective<T> for Triangle<T>

where T: Float,

fn transform(&mut self, matrix: &[&T; 9])

Transform by a 3×3 matrix.

fn translate(&mut self, x: &T, y: &T)

Transform by length $\delta x, \delta y$.

fn translate_x(&mut self, x: &T)

Transform by length $\delta x$.

fn translate_y(&mut self, y: &T)

Transform by length $\delta y$.

fn rotate(&mut self, angle: &T)

Transform by rotate degree $\alpha$.

fn rotate_point(&mut self, point: &[&T; 2], angle: &T)

Transform by rotate with a point $\alpha$.

fn scale(&mut self, x: &T, y: &T)

Transform by scale $x, y$.

fn scale_x(&mut self, x: &T)

Transform by scale $x$.

fn scale_y(&mut self, y: &T)

Transform by scale $y$.

fn reflect(&mut self, x: &T, y: &T)

Transform by skew $x, y$.

fn reflect_x(&mut self)

Transform by skew $x$.

fn reflect_y(&mut self)

Transform by skew $y$.

fn skew(&mut self, a: &T, b: &T)

Transform by angle $\alpha, \beta$.

fn skew_x(&mut self, a: &T)

Transform by angle $\alpha$.

fn skew_y(&mut self, b: &T)

Transform by angle $\beta$.

impl<T> Shape2D for Triangle<T>

where T: Clone + PartialOrd + Num,

type Value = T

The value type of the shape.

type VertexIterator<'a> = IntoIter<Point<T>> where T: 'a

The value type of the shape.

type LineIterator<'a> = IntoIter<Line<T>> where T: 'a

The value type of the shape.

fn is_valid(&self) -> bool

Returns true if the shape is valid and in normal form.

fn boundary(&self) -> Rectangle<Self::Value>

Returns the boundary of the shape.

fn vertices<'a>(&'a self, _: usize) -> Self::VertexIterator<'a>

Returns the owned vertices of the shape.

fn edges<'a>(&'a self, _: usize) -> Self::LineIterator<'a>

Returns the owned edges of the shape.

fn normalize(&mut self) -> bool

Returns true if the shape successfully normalized.

impl<T> TryFrom<&Polygon<T>> for Triangle<T>

where T: Clone,

type Error = ()

The type returned in the event of a conversion error.

fn try_from(value: &Polygon<T>) -> Result<Self, Self::Error>

Performs the conversion.

impl<T, P> TryFrom<(P, P, P)> for Triangle<T>

where Point<T>: From<P>, T: Num + Clone + PartialOrd,

type Error = ()

The type returned in the event of a conversion error.

fn try_from(value: (P, P, P)) -> Result<Self, Self::Error>

Performs the conversion.