Struct geo::Polygon

pub struct Polygon<T> where
    T: CoordNum,  { /* fields omitted */ }

A bounded two-dimensional area.

A Polygon’s outer boundary (exterior ring) is represented by a LineString. It may contain zero or more holes (interior rings), also represented by LineStrings.

A Polygon can be created with the Polygon::new constructor or the polygon! macro.

Semantics

The boundary of the polygon is the union of the boundaries of the exterior and interiors. The interior is all the points inside the polygon (not on the boundary).

The Polygon structure guarantees that all exterior and interior rings will be closed, such that the first and last Coordinate of each ring has the same value.

Validity

• The exterior and interior rings must be valid LinearRings (see LineString).

• No two rings in the boundary may cross, and may intersect at a Point only as a tangent. In other words, the rings must be distinct, and for every pair of common points in two of the rings, there must be a neighborhood (a topological open set) around one that does not contain the other point.

• The closure of the interior of the Polygon must equal the Polygon itself. For instance, the exterior may not contain a spike.

• The interior of the polygon must be a connected point-set. That is, any two distinct points in the interior must admit a curve between these two that lies in the interior.

Refer to section 6.1.11.1 of the OGC-SFA for a formal definition of validity. Besides the closed LineString guarantee, the Polygon structure does not enforce validity at this time. For example, it is possible to construct a Polygon that has:

• fewer than 3 coordinates per LineString ring
• interior rings that intersect other interior rings
• interior rings that extend beyond the exterior ring

LineString closing operation

Some APIs on Polygon result in a closing operation on a LineString. The operation is as follows:

If a LineString’s first and last Coordinate have different values, a new Coordinate will be appended to the LineString with a value equal to the first Coordinate.

Implementations

impl<T> Polygon<T> where
    T: CoordNum, 

pub fn new(
    exterior: LineString<T>,
    interiors: Vec<LineString<T>, Global>
) -> Polygon<T>

Create a new Polygon with the provided exterior LineString ring and interior LineString rings.

Upon calling new, the exterior and interior LineString rings will be closed.

Examples

Creating a Polygon with no interior rings:

use geo_types::{LineString, Polygon};

let polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![],
);

Creating a Polygon with an interior ring:

use geo_types::{LineString, Polygon};

let polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![LineString::from(vec![
        (0.1, 0.1),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
    ])],
);

If the first and last Coordinates of the exterior or interior LineStrings no longer match, those LineStrings will be closed:

use geo_types::{Coordinate, LineString, Polygon};

let mut polygon = Polygon::new(LineString::from(vec![(0., 0.), (1., 1.), (1., 0.)]), vec![]);

assert_eq!(
    polygon.exterior(),
    &LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.),])
);

pub fn into_inner(self) -> (LineString<T>, Vec<LineString<T>, Global>)

Consume the Polygon, returning the exterior LineString ring and a vector of the interior LineString rings.

Examples

use geo_types::{LineString, Polygon};

let mut polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![LineString::from(vec![
        (0.1, 0.1),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
    ])],
);

let (exterior, interiors) = polygon.into_inner();

assert_eq!(
    exterior,
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.),])
);

assert_eq!(
    interiors,
    vec![LineString::from(vec![
        (0.1, 0.1),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
    ])]
);

pub fn exterior(&self) -> &LineString<T>

Return a reference to the exterior LineString ring.

Examples

use geo_types::{LineString, Polygon};

let exterior = LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]);

let polygon = Polygon::new(exterior.clone(), vec![]);

assert_eq!(polygon.exterior(), &exterior);

pub fn exterior_mut<F>(&mut self, f: F) where
    F: FnOnce(&mut LineString<T>), 

Execute the provided closure f, which is provided with a mutable reference to the exterior LineString ring.

After the closure executes, the exterior LineString will be closed.

Examples

use geo_types::{Coordinate, LineString, Polygon};

let mut polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![],
);

polygon.exterior_mut(|exterior| {
    exterior.0[1] = Coordinate { x: 1., y: 2. };
});

assert_eq!(
    polygon.exterior(),
    &LineString::from(vec![(0., 0.), (1., 2.), (1., 0.), (0., 0.),])
);

If the first and last Coordinates of the exterior LineString no longer match, the LineString will be closed:

use geo_types::{Coordinate, LineString, Polygon};

let mut polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![],
);

polygon.exterior_mut(|exterior| {
    exterior.0[0] = Coordinate { x: 0., y: 1. };
});

assert_eq!(
    polygon.exterior(),
    &LineString::from(vec![(0., 1.), (1., 1.), (1., 0.), (0., 0.), (0., 1.),])
);

pub fn interiors(&self) -> &[LineString<T>]

Return a slice of the interior LineString rings.

Examples

use geo_types::{Coordinate, LineString, Polygon};

let interiors = vec![LineString::from(vec![
    (0.1, 0.1),
    (0.9, 0.9),
    (0.9, 0.1),
    (0.1, 0.1),
])];

let polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    interiors.clone(),
);

assert_eq!(interiors, polygon.interiors());

pub fn interiors_mut<F>(&mut self, f: F) where
    F: FnOnce(&mut [LineString<T>]), 

Execute the provided closure f, which is provided with a mutable reference to the interior LineString rings.

After the closure executes, each of the interior LineStrings will be closed.

Examples

use geo_types::{Coordinate, LineString, Polygon};

let mut polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![LineString::from(vec![
        (0.1, 0.1),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
    ])],
);

polygon.interiors_mut(|interiors| {
    interiors[0].0[1] = Coordinate { x: 0.8, y: 0.8 };
});

assert_eq!(
    polygon.interiors(),
    &[LineString::from(vec![
        (0.1, 0.1),
        (0.8, 0.8),
        (0.9, 0.1),
        (0.1, 0.1),
    ])]
);

If the first and last Coordinates of any interior LineString no longer match, those LineStrings will be closed:

use geo_types::{Coordinate, LineString, Polygon};

let mut polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![LineString::from(vec![
        (0.1, 0.1),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
    ])],
);

polygon.interiors_mut(|interiors| {
    interiors[0].0[0] = Coordinate { x: 0.1, y: 0.2 };
});

assert_eq!(
    polygon.interiors(),
    &[LineString::from(vec![
        (0.1, 0.2),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
        (0.1, 0.2),
    ])]
);

pub fn interiors_push(&mut self, new_interior: impl Into<LineString<T>>)

Add an interior ring to the Polygon.

The new LineString interior ring will be closed:

Examples

use geo_types::{Coordinate, LineString, Polygon};

let mut polygon = Polygon::new(
    LineString::from(vec![(0., 0.), (1., 1.), (1., 0.), (0., 0.)]),
    vec![],
);

assert_eq!(polygon.interiors().len(), 0);

polygon.interiors_push(vec![(0.1, 0.1), (0.9, 0.9), (0.9, 0.1)]);

assert_eq!(
    polygon.interiors(),
    &[LineString::from(vec![
        (0.1, 0.1),
        (0.9, 0.9),
        (0.9, 0.1),
        (0.1, 0.1),
    ])]
);

impl<T> Polygon<T> where
    T: CoordFloat + Signed, 

pub fn is_convex(&self) -> bool

👎 Deprecated since 0.6.1:

Please use geo::is_convex on poly.exterior() instead

Determine whether a Polygon is convex

Trait Implementations

impl<T> AbsDiffEq<Polygon<T>> for Polygon<T> where
    T: AbsDiffEq<T, Epsilon = T> + CoordNum, 

type Epsilon = T

Used for specifying relative comparisons.

pub fn default_epsilon() -> <Polygon<T> as AbsDiffEq<Polygon<T>>>::Epsilon

The default tolerance to use when testing values that are close together.

pub fn abs_diff_eq(
    &self,
    other: &Polygon<T>,
    epsilon: <Polygon<T> as AbsDiffEq<Polygon<T>>>::Epsilon
) -> bool

Equality assertion with an absolute limit.

Examples

use geo_types::{Polygon, polygon};

let a: Polygon<f32> = polygon![(x: 0., y: 0.), (x: 5., y: 0.), (x: 7., y: 9.), (x: 0., y: 0.)];
let b: Polygon<f32> = polygon![(x: 0., y: 0.), (x: 5., y: 0.), (x: 7.01, y: 9.), (x: 0., y: 0.)];

approx::assert_abs_diff_eq!(a, b, epsilon=0.1);
approx::assert_abs_diff_ne!(a, b, epsilon=0.001);

pub fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of [AbsDiffEq::abs_diff_eq].

impl<T> Area<T> for Polygon<T> where
    T: CoordFloat, 

Note. The implementation handles polygons whose holes do not all have the same orientation. The sign of the output is the same as that of the exterior shell.

fn signed_area(&self) -> T

fn unsigned_area(&self) -> T

impl<T> BoundingRect<T> for Polygon<T> where
    T: CoordNum, 

type Output = Option<Rect<T>>

fn bounding_rect(&self) -> Self::Output

Return the BoundingRect for a Polygon

impl<T> Centroid for Polygon<T> where
    T: GeoFloat, 

type Output = Option<Point<T>>

fn centroid(&self) -> Self::Output

See: https://en.wikipedia.org/wiki/Centroid

impl<T> ChamberlainDuquetteArea<T> for Polygon<T> where
    T: Float + CoordNum, 

fn chamberlain_duquette_signed_area(&self) -> T

fn chamberlain_duquette_unsigned_area(&self) -> T

impl<T> Clone for Polygon<T> where
    T: Clone + CoordNum, 

pub fn clone(&self) -> Polygon<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<F: GeoFloat> ClosestPoint<F, Point<F>> for Polygon<F>

fn closest_point(&self, p: &Point<F>) -> Closest<F>

Find the closest point between self and p.

impl<T> ConcaveHull for Polygon<T> where
    T: GeoFloat + RTreeNum, 

type Scalar = T

fn concave_hull(&self, concavity: Self::Scalar) -> Polygon<Self::Scalar>

impl<T> Contains<Coordinate<T>> for Polygon<T> where
    T: GeoNum, 

fn contains(&self, coord: &Coordinate<T>) -> bool

impl<T> Contains<Line<T>> for Polygon<T> where
    T: GeoFloat, 

fn contains(&self, line: &Line<T>) -> bool

impl<T> Contains<LineString<T>> for Polygon<T> where
    T: GeoFloat, 

fn contains(&self, linestring: &LineString<T>) -> bool

impl<T> Contains<Point<T>> for Polygon<T> where
    T: GeoNum, 

fn contains(&self, p: &Point<T>) -> bool

impl<F> Contains<Polygon<F>> for MultiPolygon<F> where
    F: GeoFloat, 

fn contains(&self, rhs: &Polygon<F>) -> bool

impl<T> Contains<Polygon<T>> for Polygon<T> where
    T: GeoFloat, 

fn contains(&self, poly: &Polygon<T>) -> bool

impl<T> ConvexHull for Polygon<T> where
    T: GeoNum, 

type Scalar = T

fn convex_hull(&self) -> Polygon<T>

impl<T> CoordinatePosition for Polygon<T> where
    T: GeoNum, 

type Scalar = T

fn calculate_coordinate_position(
    &self,
    coord: &Coordinate<T>,
    is_inside: &mut bool,
    boundary_count: &mut usize
)

fn coordinate_position(&self, coord: &Coordinate<Self::Scalar>) -> CoordPos

impl<'a, T: CoordNum + 'a> CoordsIter<'a> for Polygon<T>

type Iter = Chain<Copied<Iter<'a, Coordinate<T>>>, Flatten<MapCoordsIter<'a, T, Iter<'a, LineString<T>>, LineString<T>>>>

type ExteriorIter = Copied<Iter<'a, Coordinate<T>>>

type Scalar = T

fn coords_iter(&'a self) -> Self::Iter

Iterate over all exterior and (if any) interior coordinates of a geometry.

fn coords_count(&'a self) -> usize

Return the number of coordinates in the Polygon.

fn exterior_coords_iter(&'a self) -> Self::ExteriorIter

Iterate over all exterior coordinates of a geometry.

impl<T> Debug for Polygon<T> where
    T: Debug + CoordNum, 

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

Formats the value using the given formatter.

impl<T> Eq for Polygon<T> where
    T: Eq + CoordNum, 

impl<T> EuclideanDistance<T, Line<T>> for Polygon<T> where
    T: GeoFloat + FloatConst + Signed + RTreeNum, 

fn euclidean_distance(&self, other: &Line<T>) -> T

Returns the distance between two geometries

impl<T> EuclideanDistance<T, LineString<T>> for Polygon<T> where
    T: GeoFloat + FloatConst + Signed + RTreeNum, 

Polygon to LineString distance

fn euclidean_distance(&self, other: &LineString<T>) -> T

Returns the distance between two geometries

impl<T> EuclideanDistance<T, Point<T>> for Polygon<T> where
    T: GeoFloat, 

fn euclidean_distance(&self, point: &Point<T>) -> T

Minimum distance from a Polygon to a Point

impl<T> EuclideanDistance<T, Polygon<T>> for Point<T> where
    T: GeoFloat, 

fn euclidean_distance(&self, polygon: &Polygon<T>) -> T

Minimum distance from a Point to a Polygon

impl<T> EuclideanDistance<T, Polygon<T>> for Line<T> where
    T: GeoFloat + Signed + RTreeNum + FloatConst, 

fn euclidean_distance(&self, other: &Polygon<T>) -> T

Returns the distance between two geometries

impl<T> EuclideanDistance<T, Polygon<T>> for LineString<T> where
    T: GeoFloat + FloatConst + Signed + RTreeNum, 

LineString to Polygon

fn euclidean_distance(&self, other: &Polygon<T>) -> T

Returns the distance between two geometries

impl<T> EuclideanDistance<T, Polygon<T>> for Polygon<T> where
    T: GeoFloat + FloatConst + RTreeNum, 

fn euclidean_distance(&self, poly2: &Polygon<T>) -> T

This implementation has a “fast path” in cases where both input polygons are convex: it switches to an implementation of the “rotating calipers” method described in Pirzadeh (1999), pp24—30, which is approximately an order of magnitude faster than the standard method.

impl<T> From<Polygon<T>> for Geometry<T> where
    T: CoordNum, 

pub fn from(x: Polygon<T>) -> Geometry<T>

Performs the conversion.

impl<T> From<Rect<T>> for Polygon<T> where
    T: CoordNum, 

pub fn from(r: Rect<T>) -> Polygon<T>

Performs the conversion.

impl<T> From<Triangle<T>> for Polygon<T> where
    T: CoordNum, 

pub fn from(t: Triangle<T>) -> Polygon<T>

Performs the conversion.

impl<C: CoordNum> HasDimensions for Polygon<C>

fn is_empty(&self) -> bool

Some geometries, like a MultiPoint, can have zero coordinates - we call these empty.

fn dimensions(&self) -> Dimensions

The dimensions of some geometries are fixed, e.g. a Point always has 0 dimensions. However for others, the dimensionality depends on the specific geometry instance - for example typical Rects are 2-dimensional, but it’s possible to create degenerate Rects which have either 1 or 0 dimensions.

fn boundary_dimensions(&self) -> Dimensions

The dimensions of the Geometry’s boundary, as used by OGC-SFA.

impl<T> Hash for Polygon<T> where
    T: Hash + CoordNum, 

pub fn hash<__H>(&self, state: &mut __H) where
    __H: Hasher, 

Feeds this value into the given Hasher.

pub fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given Hasher.

impl<T> Intersects<Coordinate<T>> for Polygon<T> where
    T: GeoNum, 

fn intersects(&self, p: &Coordinate<T>) -> bool

impl<T> Intersects<Geometry<T>> for Polygon<T> where
    Geometry<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &Geometry<T>) -> bool

impl<T> Intersects<GeometryCollection<T>> for Polygon<T> where
    GeometryCollection<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &GeometryCollection<T>) -> bool

impl<T> Intersects<Line<T>> for Polygon<T> where
    T: GeoNum, 

fn intersects(&self, line: &Line<T>) -> bool

impl<T> Intersects<LineString<T>> for Polygon<T> where
    LineString<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &LineString<T>) -> bool

impl<T> Intersects<MultiLineString<T>> for Polygon<T> where
    MultiLineString<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &MultiLineString<T>) -> bool

impl<T> Intersects<MultiPoint<T>> for Polygon<T> where
    MultiPoint<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &MultiPoint<T>) -> bool

impl<T> Intersects<MultiPolygon<T>> for Polygon<T> where
    MultiPolygon<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &MultiPolygon<T>) -> bool

impl<T> Intersects<Point<T>> for Polygon<T> where
    Point<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &Point<T>) -> bool

impl<T> Intersects<Polygon<T>> for Coordinate<T> where
    Polygon<T>: Intersects<Coordinate<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &Polygon<T>) -> bool

impl<T> Intersects<Polygon<T>> for Line<T> where
    Polygon<T>: Intersects<Line<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &Polygon<T>) -> bool

impl<T> Intersects<Polygon<T>> for Rect<T> where
    Polygon<T>: Intersects<Rect<T>>,
    T: CoordNum, 

fn intersects(&self, rhs: &Polygon<T>) -> bool

impl<T> Intersects<Polygon<T>> for Polygon<T> where
    T: GeoNum, 

fn intersects(&self, polygon: &Polygon<T>) -> bool

impl<T> Intersects<Rect<T>> for Polygon<T> where
    T: GeoNum, 

fn intersects(&self, rect: &Rect<T>) -> bool

impl<T> Intersects<Triangle<T>> for Polygon<T> where
    Triangle<T>: Intersects<Polygon<T>>,
    T: CoordNum, 

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

impl<T: CoordNum, NT: CoordNum> MapCoords<T, NT> for Polygon<T>

type Output = Polygon<NT>

fn map_coords(&self, func: impl Fn(&(T, T)) -> (NT, NT) + Copy) -> Self::Output

Apply a function to all the coordinates in a geometric object, returning a new object.

impl<T: CoordNum> MapCoordsInplace<T> for Polygon<T>

fn map_coords_inplace(&mut self, func: impl Fn(&(T, T)) -> (T, T) + Copy)

Apply a function to all the coordinates in a geometric object, in place

impl<T> Orient for Polygon<T> where
    T: GeoNum, 

fn orient(&self, direction: Direction) -> Polygon<T>

Orients a Polygon’s exterior and interior rings according to convention

impl<T> PartialEq<Polygon<T>> for Polygon<T> where
    T: PartialEq<T> + CoordNum, 

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

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

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

This method tests for !=.

impl<F: GeoFloat> Relate<F, GeometryCollection<F>> for Polygon<F>

fn relate(&self, other: &GeometryCollection<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Line<F>> for Polygon<F>

fn relate(&self, other: &Line<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, LineString<F>> for Polygon<F>

fn relate(&self, other: &LineString<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, MultiLineString<F>> for Polygon<F>

fn relate(&self, other: &MultiLineString<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, MultiPoint<F>> for Polygon<F>

fn relate(&self, other: &MultiPoint<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, MultiPolygon<F>> for Polygon<F>

fn relate(&self, other: &MultiPolygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Point<F>> for Polygon<F>

fn relate(&self, other: &Point<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for Point<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for Line<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for LineString<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for Polygon<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for MultiPoint<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for MultiLineString<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for MultiPolygon<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for Rect<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for Triangle<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Polygon<F>> for GeometryCollection<F>

fn relate(&self, other: &Polygon<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Rect<F>> for Polygon<F>

fn relate(&self, other: &Rect<F>) -> IntersectionMatrix

impl<F: GeoFloat> Relate<F, Triangle<F>> for Polygon<F>

fn relate(&self, other: &Triangle<F>) -> IntersectionMatrix

impl<T> RelativeEq<Polygon<T>> for Polygon<T> where
    T: AbsDiffEq<T, Epsilon = T> + CoordNum + RelativeEq<T>, 

pub fn default_max_relative() -> <Polygon<T> as AbsDiffEq<Polygon<T>>>::Epsilon

The default relative tolerance for testing values that are far-apart.

pub fn relative_eq(
    &self,
    other: &Polygon<T>,
    epsilon: <Polygon<T> as AbsDiffEq<Polygon<T>>>::Epsilon,
    max_relative: <Polygon<T> as AbsDiffEq<Polygon<T>>>::Epsilon
) -> bool

Equality assertion within a relative limit.

Examples

use geo_types::{Polygon, polygon};

let a: Polygon<f32> = polygon![(x: 0., y: 0.), (x: 5., y: 0.), (x: 7., y: 9.), (x: 0., y: 0.)];
let b: Polygon<f32> = polygon![(x: 0., y: 0.), (x: 5., y: 0.), (x: 7.01, y: 9.), (x: 0., y: 0.)];

approx::assert_relative_eq!(a, b, max_relative=0.1);
approx::assert_relative_ne!(a, b, max_relative=0.001);

pub fn relative_ne(
    &self,
    other: &Rhs,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

The inverse of [RelativeEq::relative_eq].

impl<T> Rotate<T> for Polygon<T> where
    T: GeoFloat, 

fn rotate(&self, angle: T) -> Self

Rotate the Polygon about its centroid by the given number of degrees

impl<T> Simplify<T, T> for Polygon<T> where
    T: GeoFloat, 

fn simplify(&self, epsilon: &T) -> Self

Returns the simplified representation of a geometry, using the Ramer–Douglas–Peucker algorithm

impl<T> SimplifyVW<T, T> for Polygon<T> where
    T: CoordFloat, 

fn simplifyvw(&self, epsilon: &T) -> Polygon<T>

Returns the simplified representation of a geometry, using the Visvalingam-Whyatt algorithm

impl<T> SimplifyVWPreserve<T, T> for Polygon<T> where
    T: CoordFloat + RTreeNum, 

fn simplifyvw_preserve(&self, epsilon: &T) -> Polygon<T>

Returns the simplified representation of a geometry, using a topology-preserving variant of the Visvalingam-Whyatt algorithm.

impl<T> StructuralEq for Polygon<T> where
    T: CoordNum, 

impl<T> StructuralPartialEq for Polygon<T> where
    T: CoordNum, 

impl<T> TryFrom<Geometry<T>> for Polygon<T> where
    T: CoordNum, 

Convert a Geometry enum into its inner type.

Fails if the enum case does not match the type you are trying to convert it to.

type Error = Error

The type returned in the event of a conversion error.

pub fn try_from(
    geom: Geometry<T>
) -> Result<Polygon<T>, <Polygon<T> as TryFrom<Geometry<T>>>::Error>

Performs the conversion.

impl<T: CoordNum, NT: CoordNum> TryMapCoords<T, NT> for Polygon<T>

type Output = Polygon<NT>

fn try_map_coords(
    &self,
    func: impl Fn(&(T, T)) -> Result<(NT, NT), Box<dyn Error + Send + Sync>> + Copy
) -> Result<Self::Output, Box<dyn Error + Send + Sync>>

Map a fallible function over all the coordinates in a geometry, returning a Result