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use crate::{polygon, Coord, CoordNum, Line, Polygon};
#[cfg(any(feature = "approx", test))]
use approx::{AbsDiffEq, RelativeEq};
/// A bounded 2D area whose three vertices are defined by
/// `Coord`s. The semantics and validity are that of
/// the equivalent [`Polygon`]; in addition, the three
/// vertices must not be collinear and they must be distinct.
#[derive(Copy, Clone, Debug, Hash, Eq, PartialEq)]
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
pub struct Triangle<T: CoordNum = f64>(pub Coord<T>, pub Coord<T>, pub Coord<T>);
impl<T: CoordNum> Triangle<T> {
/// Instantiate Self from the raw content value
pub fn new(v1: Coord<T>, v2: Coord<T>, v3: Coord<T>) -> Self {
Self(v1, v2, v3)
}
pub fn to_array(&self) -> [Coord<T>; 3] {
[self.0, self.1, self.2]
}
pub fn to_lines(&self) -> [Line<T>; 3] {
[
Line::new(self.0, self.1),
Line::new(self.1, self.2),
Line::new(self.2, self.0),
]
}
/// Create a `Polygon` from the `Triangle`.
///
/// # Examples
///
/// ```rust
/// use geo_types::{coord, Triangle, polygon};
///
/// let triangle = Triangle::new(
/// coord! { x: 0., y: 0. },
/// coord! { x: 10., y: 20. },
/// coord! { x: 20., y: -10. },
/// );
///
/// assert_eq!(
/// triangle.to_polygon(),
/// polygon![
/// (x: 0., y: 0.),
/// (x: 10., y: 20.),
/// (x: 20., y: -10.),
/// (x: 0., y: 0.),
/// ],
/// );
/// ```
pub fn to_polygon(self) -> Polygon<T> {
polygon![self.0, self.1, self.2, self.0]
}
}
impl<IC: Into<Coord<T>> + Copy, T: CoordNum> From<[IC; 3]> for Triangle<T> {
fn from(array: [IC; 3]) -> Self {
Self(array[0].into(), array[1].into(), array[2].into())
}
}
#[cfg(any(feature = "approx", test))]
impl<T> RelativeEq for Triangle<T>
where
T: AbsDiffEq<Epsilon = T> + CoordNum + RelativeEq,
{
#[inline]
fn default_max_relative() -> Self::Epsilon {
T::default_max_relative()
}
/// Equality assertion within a relative limit.
///
/// # Examples
///
/// ```
/// use geo_types::{point, Triangle};
///
/// let a = Triangle::new((0.0, 0.0).into(), (10.0, 10.0).into(), (0.0, 5.0).into());
/// let b = Triangle::new((0.0, 0.0).into(), (10.01, 10.0).into(), (0.0, 5.0).into());
///
/// approx::assert_relative_eq!(a, b, max_relative=0.1);
/// approx::assert_relative_ne!(a, b, max_relative=0.0001);
/// ```
#[inline]
fn relative_eq(
&self,
other: &Self,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon,
) -> bool {
if !self.0.relative_eq(&other.0, epsilon, max_relative) {
return false;
}
if !self.1.relative_eq(&other.1, epsilon, max_relative) {
return false;
}
if !self.2.relative_eq(&other.2, epsilon, max_relative) {
return false;
}
true
}
}
#[cfg(any(feature = "approx", test))]
impl<T> AbsDiffEq for Triangle<T>
where
T: AbsDiffEq<Epsilon = T> + CoordNum,
T::Epsilon: Copy,
{
type Epsilon = T;
#[inline]
fn default_epsilon() -> Self::Epsilon {
T::default_epsilon()
}
/// Equality assertion with an absolute limit.
///
/// # Examples
///
/// ```
/// use geo_types::{point, Triangle};
///
/// let a = Triangle::new((0.0, 0.0).into(), (10.0, 10.0).into(), (0.0, 5.0).into());
/// let b = Triangle::new((0.0, 0.0).into(), (10.01, 10.0).into(), (0.0, 5.0).into());
///
/// approx::abs_diff_eq!(a, b, epsilon=0.1);
/// approx::abs_diff_ne!(a, b, epsilon=0.001);
/// ```
#[inline]
fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool {
if !self.0.abs_diff_eq(&other.0, epsilon) {
return false;
}
if !self.1.abs_diff_eq(&other.1, epsilon) {
return false;
}
if !self.2.abs_diff_eq(&other.2, epsilon) {
return false;
}
true
}
}