defmodule Geometry do @moduledoc """ A set of geometry types for WKT/WKB and GeoJson. """ alias Geometry.Feature alias Geometry.FeatureCollection alias Geometry.GeoJson alias Geometry.GeometryCollection alias Geometry.GeometryCollectionM alias Geometry.GeometryCollectionZ alias Geometry.GeometryCollectionZM alias Geometry.LineString alias Geometry.LineStringM alias Geometry.LineStringZ alias Geometry.LineStringZM alias Geometry.MultiLineString alias Geometry.MultiLineStringM alias Geometry.MultiLineStringZ alias Geometry.MultiLineStringZM alias Geometry.MultiPoint alias Geometry.MultiPointM alias Geometry.MultiPointZ alias Geometry.MultiPointZM alias Geometry.MultiPolygon alias Geometry.MultiPolygonM alias Geometry.MultiPolygonZ alias Geometry.MultiPolygonZM alias Geometry.Point alias Geometry.PointM alias Geometry.PointZ alias Geometry.PointZM alias Geometry.Polygon alias Geometry.PolygonM alias Geometry.PolygonZ alias Geometry.PolygonZM alias Geometry.WKB alias Geometry.WKT @geometries [ GeometryCollection, GeometryCollectionM, GeometryCollectionZ, GeometryCollectionZM, LineString, LineStringM, LineStringZ, LineStringZM, MultiLineString, MultiLineStringM, MultiLineStringZ, MultiLineStringZM, MultiPoint, MultiPointM, MultiPointZ, MultiPointZM, MultiPolygon, MultiPolygonM, MultiPolygonZ, MultiPolygonZM, Polygon, PolygonM, PolygonZ, PolygonZM, Point, PointM, PointZ, PointZM ] @geo_json [ Feature, FeatureCollection ] @typedoc """ A geometry is one of the provided geometries or geometry-collections. """ @type t :: GeometryCollection.t() | GeometryCollectionM.t() | GeometryCollectionZ.t() | GeometryCollectionZM.t() | LineString.t() | LineStringM.t() | LineStringZ.t() | LineStringZM.t() | MultiLineString.t() | MultiLineStringM.t() | MultiLineStringZ.t() | MultiLineStringZM.t() | MultiPoint.t() | MultiPointM.t() | MultiPointZ.t() | MultiPointZM.t() | MultiPolygon.t() | MultiPolygonM.t() | MultiPolygonZ.t() | MultiPolygonZM.t() | Polygon.t() | PolygonM.t() | PolygonZ.t() | PolygonZM.t() | Point.t() | PointM.t() | PointZ.t() | PointZM.t() @typedoc """ An n-dimensional coordinate. """ @type coordinate :: [number(), ...] @typedoc """ A list of n-dimensional coordinates. """ @type coordinates :: [coordinate()] @typedoc """ The Spatial Reference System Identifier to identify projected, unprojected, and local spatial coordinate system definitions. """ @type srid :: non_neg_integer() @typedoc """ [Well-known text](https://en.wikipedia.org/wiki/Well-known_text_representation_of_geometry) (WKT) is a text markup language for representing vector geometry objects. """ @type wkt :: String.t() @typedoc """ [Well-known binary](https://en.wikipedia.org/wiki/Well-known_text_representation_of_geometry#Well-known_binary) The binary representation of WKT. """ @type wkb :: binary() @typedoc """ Errors that can occur when a geometry is generating from WKT. """ @type wkt_error :: {:error, %{expected: t(), got: t()}} | { :error, message :: String.t(), rest :: String.t(), {line :: pos_integer(), offset :: non_neg_integer()}, offset :: non_neg_integer() } @typedoc """ Errors that can occur when a geometry is generating from WKT. """ @type wkb_error :: {:error, %{expected: t(), got: t()}} | {:error, message :: String.t(), rest :: binary(), offset :: non_neg_integer()} @typedoc """ A [GeoJson](https://geojson.org) term. """ @type geo_json_term :: map() @typedoc """ Errors that can occur when a geometry is generating from GeoJson. """ @type geo_json_error :: {:error, :coordinates_not_found | :geometries_not_found | :invalid_data | :type_not_found | :unknown_type} @typedoc """ Byte order. - `:ndr`: Little endian byte order encoding - `:xdr`: Big endian byte order encoding """ @type endian :: :ndr | :xdr @type mode :: :binary | :hex @doc """ Returns true if a geometry is empty. ## Examples iex> Geometry.empty?(Point.new(1, 2)) false iex> Geometry.empty?(Point.new()) true iex> Geometry.empty?(LineString.new([])) true """ @spec empty?(t()) :: boolean def empty?(%module{} = geometry) when module in @geometries or module in @geo_json do module.empty?(geometry) end @doc """ Returns the WKB representation of a geometry. With option `:srid` an EWKB representation with the SRID is returned. The option `:endian` indicates whether `:xdr` big endian or `:ndr` little endian is returned. The default is `:xdr`. The `:mode` determines whether a hex-string or binary is returned. The default is `:binary`. ## Examples iex> Geometry.to_wkb(PointZ.new(1, 2, 3), endian: :ndr, mode: :hex) "0101000080000000000000F03F00000000000000400000000000000840" iex> Geometry.to_wkb(Point.new(1, 2), srid: 4711) |> Hex.from_binary() "0020000001000012673FF00000000000004000000000000000" """ @spec to_wkb(t(), opts) :: String.t() when opts: [endian: endian(), srid: srid(), mode: mode()] def to_wkb(%module{} = geometry, opts \\ []) when module in @geometries do module.to_wkb(geometry, opts) end @doc """ Returns an `:ok` tuple with the geometry from the given WKT string. Otherwise returns an `:error` tuple. If WKB contains an SRID the tuple is extended by the id. The optional second argument determines if a `:hex`-string or a `:binary` input is expected. The default is `:binary`. ## Examples iex> Geometry.from_wkb("0101000080000000000000F03F00000000000000400000000000000840", :hex) {:ok, %PointZ{coordinate: [1.0, 2.0, 3.0]}} iex> Geometry.from_wkb("0020000001000012673FF00000000000004000000000000000", :hex) {:ok, {%Point{coordinate: [1.0, 2.0]}, 4711}} """ @spec from_wkb(wkb(), mode()) :: {:ok, t() | {t(), srid()}} | wkb_error def from_wkb(wkb, mode \\ :binary), do: WKB.Parser.parse(wkb, mode) @doc """ The same as `from_wkb/2`, but raises a `Geometry.Error` exception if it fails. """ @spec from_wkb!(wkb(), mode()) :: t() | {t(), srid()} def from_wkb!(wkb, mode \\ :binary) do case WKB.Parser.parse(wkb, mode) do {:ok, geometry} -> geometry error -> raise Geometry.Error, error end end @doc """ Returns the WKT representation of a geometry. An optional `:srid` can be set in the options. ## Examples iex> Geometry.to_wkt(Point.new(1, 2)) "Point (1 2)" iex> Geometry.to_wkt(PointZ.new(1.1, 2.2, 3.3), srid: 4211) "SRID=4211;Point Z (1.1 2.2 3.3)" iex> Geometry.to_wkt(LineString.new([Point.new(1, 2), Point.new(3, 4)])) "LineString (1 2, 3 4)" """ @spec to_wkt(t(), opts) :: String.t() when opts: [srid: srid()] def to_wkt(%module{} = geometry, opts \\ []) when module in @geometries do module.to_wkt(geometry, opts) end @doc """ Returns an `:ok` tuple with the geometry from the given WKT string. Otherwise returns an `:error` tuple. If the geometry contains a SRID the id is added to the tuple. ## Examples iex> Geometry.from_wkt("Point ZM (1 2 3 4)") {:ok, %PointZM{coordinate: [1, 2, 3, 4]}} iex> Geometry.from_wkt("SRID=42;Point (1.1 2.2)") {:ok, {%Point{coordinate: [1.1, 2.2]}, 42}} """ @spec from_wkt(wkt()) :: {:ok, t() | {t(), srid()}} | wkt_error def from_wkt(wkt), do: WKT.Parser.parse(wkt) @doc """ The same as `from_wkt/1`, but raises a `Geometry.Error` exception if it fails. """ @spec from_wkt!(wkt()) :: t() | {t(), srid()} def from_wkt!(wkt) do case WKT.Parser.parse(wkt) do {:ok, geometry} -> geometry error -> raise Geometry.Error, error end end @doc """ Returns the GeoJSON term representation of a geometry. ## Examples iex> Geometry.to_geo_json(PointZ.new(1.2, 3.4, 5.6)) %{"type" => "Point", "coordinates" => [1.2, 3.4, 5.6]} iex> Geometry.to_geo_json(LineString.new([Point.new(1, 2), Point.new(3, 4)])) %{"type" => "LineString", "coordinates" => [[1, 2], [3, 4]]} """ @spec to_geo_json(t() | Feature.t() | FeatureCollection.t()) :: geo_json_term def to_geo_json(%module{} = geometry) when module in @geometries or module in @geo_json do module.to_geo_json(geometry) end @doc """ Returns an `:ok` tuple with the geometry from the given GeoJSON term. Otherwise returns an `:error` tuple. The `:type` option specifies which type is expected. The possible values are `:z`, `:m`, and `:zm`. ## Examples iex> ~s({"type": "Point", "coordinates": [1, 2]}) iex> |> Jason.decode!() iex> |> Geometry.from_geo_json() {:ok, %Point{coordinate: [1, 2]}} iex> ~s({"type": "Point", "coordinates": [1, 2, 3, 4]}) iex> |> Jason.decode!() iex> |> Geometry.from_geo_json(type: :zm) {:ok, %PointZM{coordinate: [1, 2, 3, 4]}} """ @spec from_geo_json(geo_json_term(), opts) :: {:ok, t() | Feature.t() | FeatureCollection.t()} | geo_json_error when opts: [type: :z | :m | :zm] def from_geo_json(json, opts \\ []), do: GeoJson.to_geometry(json, opts) @doc """ The same as `from_geo_josn/1`, but raises a `Geometry.Error` exception if it fails. """ @spec from_geo_json!(geo_json_term(), opts) :: t() | Feature.t() | FeatureCollection.t() when opts: [type: :z | :m | :zm] def from_geo_json!(json, opts \\ []) do case GeoJson.to_geometry(json, opts) do {:ok, geometry} -> geometry error -> raise Geometry.Error, error end end @doc false @spec default_endian :: endian() def default_endian, do: :xdr @doc false @spec default_mode :: mode() def default_mode, do: :binary end