Source code for datacube.utils.geometry._base

# This file is part of the Open Data Cube, see for more information
# Copyright (c) 2015-2020 ODC Contributors
# SPDX-License-Identifier: Apache-2.0
import functools
import itertools
import math
import array
import warnings
from collections import namedtuple, OrderedDict
from typing import Tuple, Iterable, List, Union, Optional, Any, Callable, Hashable, Dict, Iterator
from import Sequence
from distutils.version import LooseVersion

import cachetools
import numpy
import xarray as xr
from affine import Affine
import rasterio
from shapely import geometry, ops
from shapely.geometry import base
from pyproj import CRS as _CRS
from pyproj.enums import WktVersion
from pyproj.transformer import Transformer
from pyproj.exceptions import CRSError

from .tools import roi_normalise, roi_shape, is_affine_st
from ..math import is_almost_int

Coordinate = namedtuple('Coordinate', ('values', 'units', 'resolution'))
_BoundingBox = namedtuple('BoundingBox', ('left', 'bottom', 'right', 'top'))
SomeCRS = Union[str, 'CRS', _CRS, Dict[str, Any]]
MaybeCRS = Optional[SomeCRS]
CoordList = List[Tuple[float, float]]

# pylint: disable=too-many-lines

[docs]class BoundingBox(_BoundingBox): """Bounding box, defining extent in cartesian coordinates. """ def buffered(self, ybuff: float, xbuff: float) -> 'BoundingBox': """ Return a new BoundingBox, buffered in the x and y dimensions. :param ybuff: Y dimension buffering amount :param xbuff: X dimension buffering amount :return: new BoundingBox """ return BoundingBox(left=self.left - xbuff, right=self.right + xbuff, + ybuff, bottom=self.bottom - ybuff) @property def span_x(self) -> float: return self.right - self.left @property def span_y(self) -> float: return - self.bottom @property def width(self) -> int: return int(self.right - self.left) @property def height(self) -> int: return int( - self.bottom) @property def range_x(self) -> Tuple[float, float]: return (self.left, self.right) @property def range_y(self) -> Tuple[float, float]: return (self.bottom, @property def points(self) -> CoordList: """Extract four corners of the bounding box """ x0, y0, x1, y1 = self return list(itertools.product((x0, x1), (y0, y1))) def transform(self, transform: Affine) -> 'BoundingBox': """Transform bounding box through a linear transform Apply linear transform on 4 points of the bounding box and compute bounding box of these four points. """ pts = [transform*pt for pt in self.points] xx = [x for x, _ in pts] yy = [y for _, y in pts] return BoundingBox(min(xx), min(yy), max(xx), max(yy)) @staticmethod def from_xy(x: Tuple[float, float], y: Tuple[float, float]) -> 'BoundingBox': """ BoundingBox from x and y ranges :param x: (left, right) :param y: (bottom, top) """ x1, x2 = sorted(x) y1, y2 = sorted(y) return BoundingBox(x1, y1, x2, y2) @staticmethod def from_points(p1: Tuple[float, float], p2: Tuple[float, float]) -> 'BoundingBox': """ BoundingBox from 2 points :param p1: (x, y) :param p2: (x, y) """ return BoundingBox.from_xy((p1[0], p2[0]), (p1[1], p2[1]))
@cachetools.cached({}) def _make_crs(crs_str: str) -> Tuple[_CRS, Optional[int]]: crs = _CRS.from_user_input(crs_str) return (crs, crs.to_epsg()) def _make_crs_transform_key(from_crs, to_crs, always_xy): return (id(from_crs), id(to_crs), always_xy) @cachetools.cached({}, key=_make_crs_transform_key) def _make_crs_transform(from_crs, to_crs, always_xy): return Transformer.from_crs(from_crs, to_crs, always_xy=always_xy).transform def _guess_crs_str(crs_spec: Any) -> Optional[str]: """ Returns a string representation of the crs spec. Returns `None` if it does not understand the spec. """ if isinstance(crs_spec, str): return crs_spec if isinstance(crs_spec, dict): crs_spec = _CRS.from_dict(crs_spec) if hasattr(crs_spec, 'to_epsg'): epsg = crs_spec.to_epsg() if epsg is not None: return 'EPSG:{}'.format(crs_spec.to_epsg()) if hasattr(crs_spec, 'to_wkt'): return crs_spec.to_wkt() return None
[docs]class CRS: """ Wrapper around `pyproj.CRS` for backwards compatibility. """ DEFAULT_WKT_VERSION = (WktVersion.WKT1_GDAL if LooseVersion(rasterio.__gdal_version__) < LooseVersion("3.0.0") else WktVersion.WKT2_2019) __slots__ = ('_crs', '_epsg', '_str')
[docs] def __init__(self, crs_str: Any): """ :param crs_str: string representation of a CRS, often an EPSG code like 'EPSG:4326' :raises: `pyproj.exceptions.CRSError` """ crs_str = _guess_crs_str(crs_str) if crs_str is None: raise CRSError("Expect string or any object with `.to_epsg()` or `.to_wkt()` method") _crs, _epsg = _make_crs(crs_str) self._crs = _crs self._epsg = _epsg self._str = crs_str
def __getstate__(self): return {'crs_str': self._str} def __setstate__(self, state): self.__init__(state['crs_str']) def to_wkt(self, pretty: bool = False, version: Optional[WktVersion] = None) -> str: """ WKT representation of the CRS """ if version is None: version = self.DEFAULT_WKT_VERSION return self._crs.to_wkt(pretty=pretty, version=version) @property def wkt(self) -> str: return self.to_wkt(version="WKT1_GDAL") def to_epsg(self) -> Optional[int]: """ EPSG Code of the CRS or None """ return self._epsg @property def epsg(self) -> Optional[int]: return self._epsg @property def semi_major_axis(self): return self._crs.ellipsoid.semi_major_metre @property def semi_minor_axis(self): return self._crs.ellipsoid.semi_minor_metre @property def inverse_flattening(self): return self._crs.ellipsoid.inverse_flattening @property def geographic(self) -> bool: return self._crs.is_geographic @property def projected(self) -> bool: return self._crs.is_projected @property def dimensions(self) -> Tuple[str, str]: """ List of dimension names of the CRS. The ordering of the names is intended to reflect the `numpy` array axis order of the loaded raster. """ if self.geographic: return 'latitude', 'longitude' if self.projected: return 'y', 'x' raise ValueError('Neither projected nor geographic') # pragma: no cover @property def units(self) -> Tuple[str, str]: """ List of dimension units of the CRS. The ordering of the units is intended to reflect the `numpy` array axis order of the loaded raster. """ if self.geographic: return 'degrees_north', 'degrees_east' if self.projected: x, y = self._crs.axis_info return x.unit_name, y.unit_name raise ValueError('Neither projected nor geographic') # pragma: no cover def __str__(self) -> str: return self._str def __hash__(self) -> int: return hash(self.to_wkt()) def __repr__(self) -> str: return "CRS('%s')" % self._str def __eq__(self, other: SomeCRS) -> bool: if not isinstance(other, CRS): try: other = CRS(other) except Exception: return False if self._crs is other._crs: return True if self.epsg is not None and other.epsg is not None: return self.epsg == other.epsg return self._crs == other._crs def __ne__(self, other) -> bool: return not (self == other) @property def proj(self) -> _CRS: """ Access proj.CRS object that this wraps """ return self._crs @property def valid_region(self) -> Optional['Geometry']: """ Return valid region of this CRS. Bounding box in Lon/Lat as a 4 point Polygon in EPSG:4326. None if not defined """ region = self._crs.area_of_use if region is None: return None x1, y1, x2, y2 = region.bounds return box(x1, y1, x2, y2, 'EPSG:4326') @property def crs_str(self) -> str: """ DEPRECATED """ warnings.warn("Please use `str(crs)` instead of `crs.crs_str`", category=DeprecationWarning) return self._str def transformer_to_crs(self, other: 'CRS', always_xy=True) -> Callable[[Any, Any], Tuple[Any, Any]]: """ Returns a function that maps x, y -> x', y' where x, y are coordinates in this stored either as scalars or ndarray objects and x', y' are the same points in the `other` CRS. """ transform = _make_crs_transform(self._crs, other._crs, always_xy=always_xy) def result(x, y): rx, ry = transform(x, y) if not isinstance(rx, numpy.ndarray) or not isinstance(ry, numpy.ndarray): return (rx, ry) missing = numpy.isnan(rx) | numpy.isnan(ry) rx[missing] = numpy.nan ry[missing] = numpy.nan return (rx, ry) return result
[docs]class CRSMismatchError(ValueError): """ Raised when geometry operation is attempted on geometries in different coordinate references. """ pass
def _norm_crs(crs: MaybeCRS) -> Optional[CRS]: if isinstance(crs, CRS): return crs if crs is None: return None return CRS(crs) def _norm_crs_or_error(crs: MaybeCRS) -> CRS: if isinstance(crs, CRS): return crs if crs is None: raise ValueError("Expect valid CRS") return CRS(crs) def wrap_shapely(method): """ Takes a method that expects shapely geometry arguments and converts it to a method that operates on `Geometry` objects that carry their CRSs. """ @functools.wraps(method, assigned=('__doc__', )) def wrapped(*args): first = args[0] for arg in args[1:]: if != raise CRSMismatchError((, result = method(*[arg.geom for arg in args]) if isinstance(result, base.BaseGeometry): return Geometry(result, return result return wrapped def force_2d(geojson: Dict[str, Any]) -> Dict[str, Any]: assert 'type' in geojson assert 'coordinates' in geojson def is_scalar(x): return isinstance(x, (int, float)) def go(x): if is_scalar(x): return x if isinstance(x, Sequence): if all(is_scalar(y) for y in x): return x[:2] return [go(y) for y in x] raise ValueError('invalid coordinate {}'.format(x)) return {'type': geojson['type'], 'coordinates': go(geojson['coordinates'])} def densify(coords: CoordList, resolution: float) -> CoordList: """ Adds points so they are at most `resolution` units apart. """ d2 = resolution**2 def short_enough(p1, p2): return (p1[0]**2 + p2[0]**2) < d2 new_coords = [coords[0]] for p1, p2 in zip(coords[:-1], coords[1:]): if not short_enough(p1, p2): segment = geometry.LineString([p1, p2]) segment_length = segment.length d = resolution while d < segment_length: pt, = segment.interpolate(d).coords new_coords.append(pt) d += resolution new_coords.append(p2) return new_coords def _clone_shapely_geom(geom: base.BaseGeometry) -> base.BaseGeometry: return type(geom)(geom)
[docs]class Geometry: """ 2D Geometry with CRS Instantiate with a GeoJSON structure If 3D coordinates are supplied, they are converted to 2D by dropping the Z points. """
[docs] def __init__(self, geom: Union[base.BaseGeometry, Dict[str, Any], 'Geometry'], crs: MaybeCRS = None): if isinstance(geom, Geometry): assert crs is None Optional[CRS] = self.geom: base.BaseGeometry = _clone_shapely_geom(geom.geom) return crs = _norm_crs(crs) = crs if isinstance(geom, base.BaseGeometry): self.geom = geom elif isinstance(geom, dict): self.geom = geometry.shape(force_2d(geom)) else: raise ValueError(f'Unexpected type {type(geom)}')
def clone(self) -> 'Geometry': return Geometry(self) @wrap_shapely def contains(self, other: 'Geometry') -> bool: return self.contains(other) @wrap_shapely def crosses(self, other: 'Geometry') -> bool: return self.crosses(other) @wrap_shapely def disjoint(self, other: 'Geometry') -> bool: return self.disjoint(other) @wrap_shapely def intersects(self, other: 'Geometry') -> bool: return self.intersects(other) @wrap_shapely def touches(self, other: 'Geometry') -> bool: return self.touches(other) @wrap_shapely def within(self, other: 'Geometry') -> bool: return self.within(other) @wrap_shapely def overlaps(self, other: 'Geometry') -> bool: return self.overlaps(other) @wrap_shapely def difference(self, other: 'Geometry') -> 'Geometry': return self.difference(other) @wrap_shapely def intersection(self, other: 'Geometry') -> 'Geometry': return self.intersection(other) @wrap_shapely def symmetric_difference(self, other: 'Geometry') -> 'Geometry': return self.symmetric_difference(other) @wrap_shapely def union(self, other: 'Geometry') -> 'Geometry': return self.union(other) @wrap_shapely def __and__(self, other: 'Geometry') -> 'Geometry': return self.__and__(other) @wrap_shapely def __or__(self, other: 'Geometry') -> 'Geometry': return self.__or__(other) @wrap_shapely def __xor__(self, other: 'Geometry') -> 'Geometry': return self.__xor__(other) @wrap_shapely def __sub__(self, other: 'Geometry') -> 'Geometry': return self.__sub__(other) def svg(self) -> str: return self.geom.svg() def _repr_svg_(self) -> str: return self.geom._repr_svg_() @property def type(self) -> str: return self.geom.type @property def is_empty(self) -> bool: return self.geom.is_empty @property def is_valid(self) -> bool: return self.geom.is_valid @property def boundary(self) -> 'Geometry': return Geometry(self.geom.boundary, @property def exterior(self) -> 'Geometry': return Geometry(self.geom.exterior, @property def interiors(self) -> List['Geometry']: return [Geometry(g, for g in self.geom.interiors] @property def centroid(self) -> 'Geometry': return Geometry(self.geom.centroid, @property def coords(self) -> CoordList: return list(self.geom.coords) @property def points(self) -> CoordList: return self.coords @property def length(self) -> float: return self.geom.length @property def area(self) -> float: return self.geom.area @property def xy(self) -> Tuple[array.array, array.array]: return self.geom.xy @property def convex_hull(self) -> 'Geometry': return Geometry(self.geom.convex_hull, @property def envelope(self) -> 'Geometry': return Geometry(self.geom.envelope, @property def boundingbox(self) -> BoundingBox: minx, miny, maxx, maxy = self.geom.bounds return BoundingBox(left=minx, right=maxx, bottom=miny, top=maxy) @property def wkt(self) -> str: return self.geom.wkt @property def __array_interface__(self): return self.geom.__array_interface__ @property def __geo_interface__(self): return self.geom.__geo_interface__ @property def json(self): return self.__geo_interface__ def segmented(self, resolution: float) -> 'Geometry': """ Possibly add more points to the geometry so that no edge is longer than `resolution`. """ def segmentize_shapely(geom: base.BaseGeometry) -> base.BaseGeometry: if geom.type in ['Point', 'MultiPoint']: return type(geom)(geom) # clone without changes if geom.type in ['GeometryCollection', 'MultiPolygon', 'MultiLineString']: return type(geom)([segmentize_shapely(g) for g in geom]) if geom.type in ['LineString', 'LinearRing']: return type(geom)(densify(list(geom.coords), resolution)) if geom.type == 'Polygon': return geometry.Polygon(densify(list(geom.exterior.coords), resolution), [densify(list(i.coords), resolution) for i in geom.interiors]) raise ValueError('unknown geometry type {}'.format(geom.type)) # pragma: no cover return Geometry(segmentize_shapely(self.geom), def interpolate(self, distance: float) -> 'Geometry': """ Returns a point distance units along the line. Raises TypeError if geometry doesn't support this operation. """ return Geometry(self.geom.interpolate(distance), def buffer(self, distance: float, resolution: float = 30) -> 'Geometry': return Geometry(self.geom.buffer(distance, resolution=resolution), def simplify(self, tolerance: float, preserve_topology: bool = True) -> 'Geometry': return Geometry(self.geom.simplify(tolerance, preserve_topology=preserve_topology), def transform(self, func) -> 'Geometry': """Applies func to all coordinates of Geometry and returns a new Geometry of the same type and in the same projection from the transformed coordinates. func maps x, y, and optionally z to output xp, yp, zp. The input parameters may be iterable types like lists or arrays or single values. The output shall be of the same type: scalars in, scalars out; lists in, lists out. """ return Geometry(ops.transform(func, self.geom), def _to_crs(self, crs: CRS) -> 'Geometry': assert is not None return Geometry(ops.transform(, self.geom), crs) def to_crs(self, crs: SomeCRS, resolution: Optional[float] = None, wrapdateline: bool = False) -> 'Geometry': """ Convert geometry to a different Coordinate Reference System :param crs: CRS to convert to :param resolution: Subdivide the geometry such it has no segment longer then the given distance. Defaults to 1 degree for geographic and 100km for projected. To disable completely use Infinity float('+inf') :param wrapdateline: Attempt to gracefully handle geometry that intersects the dateline when converting to geographic projections. Currently only works in few specific cases (source CRS is smooth over the dateline). """ crs = _norm_crs_or_error(crs) if == crs: return self if is None: raise ValueError("Cannot project geometries without CRS") if resolution is None: resolution = 1 if else 100000 geom = self.segmented(resolution) if math.isfinite(resolution) else self eps = 1e-4 if wrapdateline and crs.geographic: # TODO: derive precision from resolution by converting to degrees precision = 0.1 chopped = chop_along_antimeridian(geom, precision) chopped_lonlat = chopped._to_crs(crs) return clip_lon180(chopped_lonlat, eps) return geom._to_crs(crs) def split(self, splitter: 'Geometry') -> Iterable['Geometry']: """ shapely.ops.split """ if != raise CRSMismatchError(, for g in ops.split(self.geom, splitter.geom): yield Geometry(g, def __iter__(self) -> Iterator['Geometry']: for geom in self.geom: yield Geometry(geom, def __nonzero__(self) -> bool: return not self.is_empty def __bool__(self) -> bool: return not self.is_empty def __eq__(self, other: Any) -> bool: return (hasattr(other, 'crs') and == and hasattr(other, 'geom') and self.geom == other.geom) def __str__(self): return 'Geometry(%s, %r)' % (self.__geo_interface__, def __repr__(self): return 'Geometry(%s, %s)' % (self.geom, # Implement pickle/unpickle # It does work without these two methods, but gdal/ogr prints 'ERROR 1: Empty geometries cannot be constructed' # when unpickling, which is quite unpleasant. def __getstate__(self): return {'geom': self.json, 'crs':} def __setstate__(self, state): self.__init__(**state)
[docs]def common_crs(geoms: Iterable[Geometry]) -> Optional[CRS]: """ Return CRS common across geometries, or raise CRSMismatchError """ all_crs = [ for g in geoms] if len(all_crs) == 0: return None ref = all_crs[0] for crs in all_crs[1:]: if crs != ref: raise CRSMismatchError() return ref
[docs]def projected_lon(crs: MaybeCRS, lon: float, lat: Tuple[float, float] = (-90.0, 90.0), step: float = 1.0) -> Geometry: """ Project vertical line along some longitude into given CRS. """ crs = _norm_crs_or_error(crs) yy = numpy.arange(lat[0], lat[1], step, dtype='float32') xx = numpy.full_like(yy, lon) tr = CRS('EPSG:4326').transformer_to_crs(crs) xx_, yy_ = tr(xx, yy) pts = [(float(x), float(y)) for x, y in zip(xx_, yy_) if math.isfinite(x) and math.isfinite(y)] return line(pts, crs)
[docs]def clip_lon180(geom: Geometry, tol=1e-6) -> Geometry: """For every point in the ``lon=180|-180`` band clip to either 180 or -180 180|-180 is decided based on where the majority of other points lie. NOTE: this will only do "right thing" for chopped geometries, expectation is that all the points are to one side of lon=180 line, or in the the capture zone of lon=(+/-)180 """ thresh = 180 - tol def _clip_180(xx, clip): return [x if abs(x) < thresh else clip for x in xx] def _pick_clip(xx: List[float]): cc = 0 for x in xx: if abs(x) < thresh: cc += (1 if x > 0 else -1) return 180 if cc >= 0 else -180 def transformer(xx, yy): clip = _pick_clip(xx) return _clip_180(xx, clip), yy if geom.type.startswith('Multi'): return multigeom(g.transform(transformer) for g in geom) return geom.transform(transformer)
[docs]def chop_along_antimeridian(geom: Geometry, precision: float = 0.1) -> Geometry: """ Chop a geometry along the antimeridian :param geom: Geometry to maybe partition :param precision: in degrees :returns: either the same geometry if it doesn't intersect the antimeridian, or multi-geometry that has been split. """ if is None: raise ValueError("Expect geometry with CRS defined") l180 = projected_lon(, 180, step=precision) if geom.intersects(l180): return multigeom(geom.split(l180)) return geom
########################################### # Helper constructor functions a la shapely ###########################################
[docs]def point(x: float, y: float, crs: MaybeCRS) -> Geometry: """ Create a 2D Point >>> point(10, 10, crs=None) Geometry(POINT (10 10), None) """ return Geometry({'type': 'Point', 'coordinates': [float(x), float(y)]}, crs=crs)
[docs]def multipoint(coords: CoordList, crs: MaybeCRS) -> Geometry: """ Create a 2D MultiPoint Geometry >>> multipoint([(10, 10), (20, 20)], None) Geometry(MULTIPOINT (10 10, 20 20), None) :param coords: list of x,y coordinate tuples """ return Geometry({'type': 'MultiPoint', 'coordinates': coords}, crs=crs)
[docs]def line(coords: CoordList, crs: MaybeCRS) -> Geometry: """ Create a 2D LineString (Connected set of lines) >>> line([(10, 10), (20, 20), (30, 40)], None) Geometry(LINESTRING (10 10, 20 20, 30 40), None) :param coords: list of x,y coordinate tuples """ return Geometry({'type': 'LineString', 'coordinates': coords}, crs=crs)
[docs]def multiline(coords: List[CoordList], crs: MaybeCRS) -> Geometry: """ Create a 2D MultiLineString (Multiple disconnected sets of lines) >>> multiline([[(10, 10), (20, 20), (30, 40)], [(50, 60), (70, 80), (90, 99)]], None) Geometry(MULTILINESTRING ((10 10, 20 20, 30 40), (50 60, 70 80, 90 99)), None) :param coords: list of lists of x,y coordinate tuples """ return Geometry({'type': 'MultiLineString', 'coordinates': coords}, crs=crs)
[docs]def polygon(outer, crs: MaybeCRS, *inners) -> Geometry: """ Create a 2D Polygon >>> polygon([(10, 10), (20, 20), (20, 10), (10, 10)], None) Geometry(POLYGON ((10 10, 20 20, 20 10, 10 10)), None) :param coords: list of 2d x,y coordinate tuples """ return Geometry({'type': 'Polygon', 'coordinates': (outer, )+inners}, crs=crs)
[docs]def multipolygon(coords: List[List[CoordList]], crs: MaybeCRS) -> Geometry: """ Create a 2D MultiPolygon >>> multipolygon([[[(10, 10), (20, 20), (20, 10), (10, 10)]], [[(40, 10), (50, 20), (50, 10), (40, 10)]]], None) Geometry(MULTIPOLYGON (((10 10, 20 20, 20 10, 10 10)), ((40 10, 50 20, 50 10, 40 10))), None) :param coords: list of lists of x,y coordinate tuples """ return Geometry({'type': 'MultiPolygon', 'coordinates': coords}, crs=crs)
[docs]def box(left: float, bottom: float, right: float, top: float, crs: MaybeCRS) -> Geometry: """ Create a 2D Box (Polygon) >>> box(10, 10, 20, 20, None) Geometry(POLYGON ((10 10, 10 20, 20 20, 20 10, 10 10)), None) """ points = [(left, bottom), (left, top), (right, top), (right, bottom), (left, bottom)] return polygon(points, crs=crs)
[docs]def polygon_from_transform(width: float, height: float, transform: Affine, crs: MaybeCRS) -> Geometry: """ Create a 2D Polygon from an affine transform :param width: :param height: :param transform: :param crs: CRS """ points = [(0, 0), (0, height), (width, height), (width, 0), (0, 0)] transform.itransform(points) return polygon(points, crs=crs)
[docs]def sides(poly: Geometry) -> Iterable[Geometry]: """ Returns a sequence of Geometry[Line] objects. One for each side of the exterior ring of the input polygon. """ XY = poly.exterior.points crs = for p1, p2 in zip(XY[:-1], XY[1:]): yield line([p1, p2], crs)
[docs]def multigeom(geoms: Iterable[Geometry]) -> Geometry: """ Construct Multi{Polygon|LineString|Point} """ geoms = [g for g in geoms] # force into list src_type = {g.type for g in geoms} if len(src_type) > 1: raise ValueError("All Geometries must be of the same type") crs = common_crs(geoms) # will raise if some differ raw_geoms = [g.geom for g in geoms] src_type = src_type.pop() if src_type == 'Polygon': return Geometry(geometry.MultiPolygon(raw_geoms), crs) elif src_type == 'Point': return Geometry(geometry.MultiPoint(raw_geoms), crs) elif src_type == 'LineString': return Geometry(geometry.MultiLineString(raw_geoms), crs) raise ValueError("Only understand Polygon|LineString|Point")
########################################### # Multi-geometry operations ###########################################
[docs]def unary_union(geoms: Iterable[Geometry]) -> Optional[Geometry]: """ compute union of multiple (multi)polygons efficiently """ geoms = list(geoms) if len(geoms) == 0: return None first = geoms[0] crs = for g in geoms[1:]: if crs != raise CRSMismatchError((crs, return Geometry(ops.unary_union([g.geom for g in geoms]), crs)
[docs]def unary_intersection(geoms: Iterable[Geometry]) -> Geometry: """ compute intersection of multiple (multi)polygons """ return functools.reduce(Geometry.intersection, geoms)
def _align_pix(left: float, right: float, res: float, off: float) -> Tuple[float, int]: if res < 0: res = -res val = math.ceil((right - off) / res) * res + off width = max(1, int(math.ceil((val - left - 0.1 * res) / res))) else: val = math.floor((left - off) / res) * res + off width = max(1, int(math.ceil((right - val - 0.1 * res) / res))) return val, width
[docs]class GeoBox: """ Defines the location and resolution of a rectangular grid of data, including it's :py:class:`CRS`. :param crs: Coordinate Reference System :param affine: Affine transformation defining the location of the geobox """
[docs] def __init__(self, width: int, height: int, affine: Affine, crs: MaybeCRS): assert is_affine_st(affine), "Only axis-aligned geoboxes are currently supported" self.width = width self.height = height self.affine = affine self.extent = polygon_from_transform(width, height, affine, crs=crs)
@classmethod def from_geopolygon(cls, geopolygon: Geometry, resolution: Tuple[float, float], crs: MaybeCRS = None, align: Optional[Tuple[float, float]] = None) -> 'GeoBox': """ :param resolution: (y_resolution, x_resolution) :param crs: CRS to use, if different from the geopolygon :param align: Align geobox such that point 'align' lies on the pixel boundary. """ align = align or (0.0, 0.0) assert 0.0 <= align[1] <= abs(resolution[1]), "X align must be in [0, abs(x_resolution)] range" assert 0.0 <= align[0] <= abs(resolution[0]), "Y align must be in [0, abs(y_resolution)] range" if crs is None: crs = else: geopolygon = geopolygon.to_crs(crs) bounding_box = geopolygon.boundingbox offx, width = _align_pix(bounding_box.left, bounding_box.right, resolution[1], align[1]) offy, height = _align_pix(bounding_box.bottom,, resolution[0], align[0]) affine = (Affine.translation(offx, offy) * Affine.scale(resolution[1], resolution[0])) return GeoBox(crs=crs, affine=affine, width=width, height=height) def buffered(self, ybuff, xbuff) -> 'GeoBox': """ Produce a tile buffered by ybuff, xbuff (in CRS units) """ by, bx = (_round_to_res(buf, res) for buf, res in zip((ybuff, xbuff), self.resolution)) affine = self.affine * Affine.translation(-bx, -by) return GeoBox(width=self.width + 2*bx, height=self.height + 2*by, affine=affine, def __getitem__(self, roi) -> 'GeoBox': if isinstance(roi, int): roi = (slice(roi, roi+1), slice(None, None)) if isinstance(roi, slice): roi = (roi, slice(None, None)) if len(roi) > 2: raise ValueError('Expect 2d slice') if not all(s.step is None or s.step == 1 for s in roi): raise NotImplementedError('scaling not implemented, yet') roi = roi_normalise(roi, self.shape) ty, tx = [s.start for s in roi] h, w = roi_shape(roi) affine = self.affine * Affine.translation(tx, ty) return GeoBox(width=w, height=h, affine=affine, def __or__(self, other) -> 'GeoBox': """ A geobox that encompasses both self and other. """ return geobox_union_conservative([self, other]) def __and__(self, other) -> 'GeoBox': """ A geobox that is contained in both self and other. """ return geobox_intersection_conservative([self, other]) def is_empty(self) -> bool: return self.width == 0 or self.height == 0 def __bool__(self) -> bool: return not self.is_empty() @property def transform(self) -> Affine: return self.affine @property def shape(self) -> Tuple[int, int]: return self.height, self.width @property def crs(self) -> Optional[CRS]: return @property def dimensions(self) -> Tuple[str, str]: """ List of dimension names of the GeoBox """ crs = if crs is None: return ('y', 'x') return crs.dimensions @property def resolution(self) -> Tuple[float, float]: """ Resolution in Y,X dimensions """ return self.affine.e, self.affine.a @property def alignment(self) -> Tuple[float, float]: """ Alignment of pixel boundaries in Y,X dimensions """ return self.affine.yoff % abs(self.affine.e), self.affine.xoff % abs(self.affine.a) @property def coordinates(self) -> Dict[str, Coordinate]: """ dict of coordinate labels """ yres, xres = self.resolution yoff, xoff = self.affine.yoff, self.affine.xoff xs = numpy.arange(self.width) * xres + (xoff + xres / 2) ys = numpy.arange(self.height) * yres + (yoff + yres / 2) units = if is not None else ('1', '1') return OrderedDict((dim, Coordinate(labels, units, res)) for dim, labels, units, res in zip(self.dimensions, (ys, xs), units, (yres, xres))) def xr_coords(self, with_crs: Union[bool, str] = False) -> Dict[Hashable, xr.DataArray]: """ Dictionary of Coordinates in xarray format :param with_crs: If True include netcdf/cf style CRS Coordinate with default name 'spatial_ref', if with_crs is a string then treat the string as a name of the coordinate. Returns ======= OrderedDict name:str -> xr.DataArray where names are either `y,x` for projected or `latitude, longitude` for geographic. """ spatial_ref = "spatial_ref" if isinstance(with_crs, str): spatial_ref = with_crs with_crs = True attrs = {} coords = self.coordinates crs = if crs is not None: attrs['crs'] = str(crs) coords = dict((n, _coord_to_xr(n, c, **attrs)) for n, c in coords.items()) # type: Dict[Hashable, xr.DataArray] if with_crs and crs is not None: coords[spatial_ref] = _mk_crs_coord(crs, spatial_ref) return coords @property def geographic_extent(self) -> Geometry: """ GeoBox extent in EPSG:4326 """ if is None or return self.extent return self.extent.to_crs(CRS('EPSG:4326')) coords = coordinates dims = dimensions def __str__(self): return "GeoBox({})".format(self.geographic_extent) def __repr__(self): return "GeoBox({width}, {height}, {affine!r}, {crs})".format( width=self.width, height=self.height, affine=self.affine, ) def __eq__(self, other): if not isinstance(other, GeoBox): return False return (self.shape == other.shape and self.transform == other.transform and ==
def bounding_box_in_pixel_domain(geobox: GeoBox, reference: GeoBox) -> BoundingBox: """ Returns the bounding box of `geobox` with respect to the pixel grid defined by `reference` when their coordinate grids are compatible, that is, have the same CRS, same pixel size and orientation, and are related by whole pixel translation, otherwise raises `ValueError`. """ tol = 1.e-8 if != raise ValueError("Cannot combine geoboxes in different CRSs") a, b, c, d, e, f, *_ = ~reference.affine * geobox.affine if not (numpy.isclose(a, 1) and numpy.isclose(b, 0) and is_almost_int(c, tol) and numpy.isclose(d, 0) and numpy.isclose(e, 1) and is_almost_int(f, tol)): raise ValueError("Incompatible grids") tx, ty = round(c), round(f) return BoundingBox(tx, ty, tx + geobox.width, ty + geobox.height)
[docs]def geobox_union_conservative(geoboxes: List[GeoBox]) -> GeoBox: """ Union of geoboxes. Fails whenever incompatible grids are encountered. """ if len(geoboxes) == 0: raise ValueError("No geoboxes supplied") reference, *_ = geoboxes bbox = bbox_union(bounding_box_in_pixel_domain(geobox, reference=reference) for geobox in geoboxes) affine = reference.affine * Affine.translation(*bbox[:2]) return GeoBox(width=bbox.width, height=bbox.height, affine=affine,
[docs]def geobox_intersection_conservative(geoboxes: List[GeoBox]) -> GeoBox: """ Intersection of geoboxes. Fails whenever incompatible grids are encountered. """ if len(geoboxes) == 0: raise ValueError("No geoboxes supplied") reference, *_ = geoboxes bbox = bbox_intersection(bounding_box_in_pixel_domain(geobox, reference=reference) for geobox in geoboxes) # standardise empty geobox representation if bbox.left > bbox.right: bbox = BoundingBox(left=bbox.left, bottom=bbox.bottom, right=bbox.left, if bbox.bottom > bbox = BoundingBox(left=bbox.left, bottom=bbox.bottom, right=bbox.right, top=bbox.bottom) affine = reference.affine * Affine.translation(*bbox[:2]) return GeoBox(width=bbox.width, height=bbox.height, affine=affine,
[docs]def scaled_down_geobox(src_geobox: GeoBox, scaler: int) -> GeoBox: """Given a source geobox and integer scaler compute geobox of a scaled down image. Output geobox will be padded when shape is not a multiple of scaler. Example: 5x4, scaler=2 -> 3x2 NOTE: here we assume that pixel coordinates are 0,0 at the top-left corner of a top-left pixel. """ assert scaler > 1 H, W = [X//scaler + (1 if X % scaler else 0) for X in src_geobox.shape] # Since 0,0 is at the corner of a pixel, not center, there is no # translation between pixel plane coords due to scaling A = src_geobox.transform * Affine.scale(scaler, scaler) return GeoBox(W, H, A,
def _round_to_res(value: float, res: float, acc: float = 0.1) -> int: res = abs(res) return int(math.ceil((value - 0.1 * res) / res))
[docs]def intersects(a: Geometry, b: Geometry) -> bool: """ Returns True if geometries intersect, else False """ return a.intersects(b) and not a.touches(b)
[docs]def bbox_union(bbs: Iterable[BoundingBox]) -> BoundingBox: """ Given a stream of bounding boxes compute enclosing BoundingBox """ # pylint: disable=invalid-name L = B = float('+inf') R = T = float('-inf') for bb in bbs: l, b, r, t = bb L = min(l, L) B = min(b, B) R = max(r, R) T = max(t, T) return BoundingBox(L, B, R, T)
[docs]def bbox_intersection(bbs: Iterable[BoundingBox]) -> BoundingBox: """ Given a stream of bounding boxes compute the overlap BoundingBox """ # pylint: disable=invalid-name L = B = float('-inf') R = T = float('+inf') for bb in bbs: l, b, r, t = bb L = max(l, L) B = max(b, B) R = min(r, R) T = min(t, T) return BoundingBox(L, B, R, T)
def _mk_crs_coord(crs: CRS, name: str = 'spatial_ref') -> xr.DataArray: if crs.projected: grid_mapping_name = crs._crs.to_cf().get('grid_mapping_name') if grid_mapping_name is None: grid_mapping_name = "??" grid_mapping_name = grid_mapping_name.lower() else: grid_mapping_name = "latitude_longitude" epsg = 0 if crs.epsg is None else crs.epsg return xr.DataArray(numpy.asarray(epsg, 'int32'), name=name, dims=(), attrs={'spatial_ref': crs.wkt, 'grid_mapping_name': grid_mapping_name}) def _coord_to_xr(name: str, c: Coordinate, **attrs) -> xr.DataArray: """ Construct xr.DataArray from named Coordinate object, this can then be used to define coordinates for xr.Dataset|xr.DataArray """ attrs = dict(units=c.units, resolution=c.resolution, **attrs) return xr.DataArray(c.values, coords={name: c.values}, dims=(name,), attrs=attrs)
[docs]def crs_units_per_degree(crs: SomeCRS, lon: Union[float, Tuple[float, float]], lat: float = 0, step: float = 0.1) -> float: """ Compute number of CRS units per degree for a projected CRS at a given location in lon/lat. Location can be supplied as a tuple or as two arguments. Returns ------- A floating number S such that `S*degrees -> meters` """ if isinstance(lon, tuple): lon, lat = lon lon2 = lon + step if lon2 > 180: lon2 = lon - step ll = line([(lon, lat), (lon2, lat)], 'EPSG:4326') xy = ll.to_crs(crs, resolution=math.inf) return xy.length / step
[docs]def lonlat_bounds(geom: Geometry, mode: str = "safe", resolution: Optional[float] = None) -> BoundingBox: """ Return the bounding box of a geometry :param geom: Geometry in any projection :param mode: safe|quick :param resolution: If supplied will first segmentize input geometry to have no segment longer than ``resolution``, this increases accuracy at the cost of computation """ assert mode in ("safe", "quick") if is None: raise ValueError("lonlat_bounds can only operate on Geometry with CRS defined") if return geom.boundingbox if geom.type in ('Polygon', 'MultiPolygon'): geom = geom.exterior if resolution is not None and math.isfinite(resolution): geom = geom.segmented(resolution) xx, yy = geom.to_crs('EPSG:4326', resolution=math.inf).xy xx_range = min(xx), max(xx) yy_range = min(yy), max(yy) if mode == "safe": # If range in Longitude is more than 180 then it's probably wrapped # around 180 (X-360 for X > 180), so we add back 360 but only for X<0 # values. This only works if input geometry doesn't span more than half # a globe, so we need to check for that too, but this is not yet # implemented... span_x = xx_range[1] - xx_range[0] if span_x > 180: # TODO: check the case when input geometry spans >180 region. # For now we assume "smaller" geometries not too close # to poles. xx_ = [x + 360 if x < 0 else x for x in xx] xx_range_ = min(xx_), max(xx_) span_x_ = xx_range_[1] - xx_range_[0] if span_x_ < span_x: xx_range = xx_range_ return BoundingBox.from_xy(xx_range, yy_range)
[docs]def assign_crs(xx: Union[xr.DataArray, xr.Dataset], crs: MaybeCRS = None, crs_coord_name: str = 'spatial_ref') -> Union[xr.Dataset, xr.DataArray]: """ Assign CRS for a non-georegistered array or dataset. Returns a new object with CRS information populated. Can also be called without ``crs`` argument on data that already has CRS information but not in the format used by datacube, in this case CRS metadata will be restructured into a shape used by datacube. This format allows for better propagation of CRS information through various computations. .. code-block:: python xx = datacube.utils.geometry.assign_crs(xr.open_rasterio("some-file.tif")) print(xx.geobox) print(xx.astype('float32').geobox) :param xx: Dataset or DataArray :param crs: CRS to assign, if omitted try to guess from attributes :param crs_coord_name: how to name crs corodinate (defaults to ``spatial_ref``) """ if crs is None: geobox = getattr(xx, 'geobox', None) if geobox is None: raise ValueError("Failed to guess CRS for this object") crs = crs = _norm_crs_or_error(crs) crs_coord = _mk_crs_coord(crs, name=crs_coord_name) xx = xx.assign_coords({ crs_coord}) xx.attrs.update(grid_mapping=crs_coord_name) if isinstance(xx, xr.Dataset): for band in xx.data_vars.values(): band.attrs.update(grid_mapping=crs_coord_name) return xx
def mid_longitude(geom: Geometry) -> float: """ Compute longitude of the center point of a geometry """ ((lon,), _) = geom.centroid.to_crs('epsg:4326').xy return lon