# This file is part of the Open Data Cube, see https://opendatacube.org for more information
#
# Copyright (c) 2015-2020 ODC Contributors
# SPDX-License-Identifier: Apache-2.0
"""GridSpec class."""
import math
from typing import Any, Dict, Iterator, Optional, Tuple
from affine import Affine
from . import geom
from .crs import SomeCRS, norm_crs_or_error
from .geobox import GeoBox
from .geom import BoundingBox, Geometry, intersects
from .math import Bin1D
from .types import (
XY,
Index2d,
Shape2d,
SomeIndex2d,
SomeResolution,
SomeShape,
ixy_,
res_,
resyx_,
shape_,
xy_,
yx_,
)
[docs]class GridSpec:
"""
Definition for a regular spatial grid.
:param crs:
Coordinate System used to define the grid
:param tile_shape:
Size of each tile in pixels
:param resolution:
Size of each data point in the grid, in CRS units. ``Y`` will usually be negative.
:param origin:
Coordinate of a bottom-left corner of the ``(0,0)`` tile in CRS units. Default is
``xy_(0.0, 0.0)``
:param flipx: when ``True`` grid index for X axis increments left to right
:param flipy: when ``True`` grid index for Y axis increments top to bottom
"""
[docs] def __init__(
self,
crs: SomeCRS,
tile_shape: SomeShape,
resolution: SomeResolution,
origin: Optional[XY[float]] = None,
flipx: bool = False,
flipy: bool = False,
):
tile_shape = shape_(tile_shape)
resolution = res_(resolution)
if origin is None:
origin = xy_(0.0, 0.0)
else:
assert isinstance(origin, XY)
self.crs = norm_crs_or_error(crs)
self._shape = tile_shape
self.resolution = resolution
self.tile_size = xy_(
tile_shape.x * abs(resolution.x),
tile_shape.y * abs(resolution.y),
)
self.origin = origin
ox, oy = origin.xy
self._ybin = Bin1D(self.tile_size.y, oy, -1 if flipy else 1)
self._xbin = Bin1D(self.tile_size.x, ox, -1 if flipx else 1)
def __eq__(self, other):
if not isinstance(other, GridSpec):
return False
return (
self._shape == other._shape
and self._ybin == other._ybin
and self._xbin == other._xbin
and self.crs == other.crs
)
@property
def dimensions(self) -> Tuple[str, str]:
"""List of dimension names of the grid spec."""
return self.crs.dimensions
@property
def alignment(self) -> XY[float]:
"""Pixel boundary alignment."""
y, x = (
orig % abs(res) for orig, res in zip(self.origin.yx, self.resolution.yx)
)
return yx_(y, x)
@property
def tile_shape(self) -> Shape2d:
"""Tile shape in pixels (Y,X order, like numpy)."""
return self._shape
[docs] def pt2idx(self, x: float, y: float) -> Index2d:
"""
Compute tile index from a point.
:param x: X coordinate of a point in CRS units
:param y: Y coordinate of a point in CRS units
:return:
``(ix, iy)``, index of a tile containing given point
"""
return ixy_(self._xbin.bin(x), self._ybin.bin(y))
def _tile_txy(self, tile_index: Index2d) -> XY[float]:
"""Location of 0,0 pixel in CRS units."""
ix, iy = tile_index.xy
rx, ry = self.resolution.xy
x0, x1 = self._xbin[ix]
tx = x0 if rx > 0 else x1
y0, y1 = self._ybin[iy]
ty = y0 if ry > 0 else y1
return xy_(tx, ty)
[docs] def tile_geobox(self, tile_index: SomeIndex2d) -> GeoBox:
"""
Tile geobox.
:param tile_index: ``(ix, iy)``
"""
tile_index = ixy_(tile_index)
tx, ty = self._tile_txy(tile_index).xy
rx, ry = self.resolution.xy
return GeoBox(self._shape, crs=self.crs, affine=Affine(rx, 0, tx, 0, ry, ty))
[docs] def __getitem__(self, idx: SomeIndex2d) -> GeoBox:
"""Lookup :py:class:`~odc.geo.geobox.GeoBox` of a given tile."""
return self.tile_geobox(idx)
def idx_bounds(self, bounds: BoundingBox) -> BoundingBox:
"""
Convert bounds from CRS to index space.
:param bounds: Query bounding box
:return: Bounding box in tile index space
"""
x1, y1, x2, y2 = bounds
ix1, iy1 = self.pt2idx(x1, y1).xy
ix2, iy2 = self.pt2idx(x2, y2).xy
ix1, ix2 = sorted([ix1, ix2])
iy1, iy2 = sorted([iy1, iy2])
return BoundingBox(ix1, iy1, ix2, iy2)
[docs] def tiles(
self, bounds: BoundingBox, geobox_cache: Optional[dict] = None
) -> Iterator[Tuple[Tuple[int, int], GeoBox]]:
"""
Query tiles overlapping with bounding box.
Output is a sequence of ``tile_index``, :py:class:`odc.geo.geobox.GeoBox` tuples.
.. note::
Grid cells are referenced by coordinates ``(x, y)``, which is the opposite to the usual
CRS dimension order.
:param bounds:
Boundary coordinates of the required grid
:param geobox_cache:
Optional cache to re-use geoboxes instead of creating new one each time
:return:
Iterator of tuples of grid index and corresponding :py:class:`odc.geo.geobox.GeoBox`
"""
def geobox(tile_index):
if geobox_cache is None:
return self.tile_geobox(tile_index)
gbox = geobox_cache.get(tile_index)
if gbox is None:
gbox = self.tile_geobox(tile_index)
geobox_cache[tile_index] = gbox
return gbox
ix1, iy1, ix2, iy2 = self.idx_bounds(bounds)
for iy in range(iy1, iy2 + 1):
for ix in range(ix1, ix2 + 1):
tile_index = (ix, iy)
yield tile_index, geobox(tile_index)
[docs] def tiles_from_geopolygon(
self,
geopolygon: Geometry,
geobox_cache: Optional[dict] = None,
) -> Iterator[Tuple[Tuple[int, int], GeoBox]]:
"""
Query tiles overlapping with a given polygon.
Output is a sequence of ``tile_index``, :py:class:`odc.geo.geobox.GeoBox` tuples.
:param geopolygon:
Polygon to tile
:param geobox_cache:
Optional cache to re-use geoboxes instead of creating new one each turn: iterator of grid
cells with :py:class:`odc.geo.geobox.GeoBox` tiles
"""
geopolygon = geopolygon.to_crs(self.crs)
bbox = geopolygon.boundingbox
for tile_index, tile_geobox in self.tiles(bbox, geobox_cache):
if intersects(tile_geobox.extent, geopolygon):
yield (tile_index, tile_geobox)
def __str__(self) -> str:
return f"GridSpec(crs={self.crs}, tile_shape={self._shape}, resolution={self.resolution})"
def __repr__(self) -> str:
return self.__str__()
[docs] def geojson(
self,
*,
bbox: Optional[BoundingBox] = None,
geopolygon: Optional[Geometry] = None,
) -> Dict[str, Any]:
"""
Render to GeoJSON.
:param bbox:
Limit output to tiles overlapping with the given bounding box (native CRS of the grid).
:param geopolygon:
Limit output to tiles overlapping with the given geometry (any CRS)
:return: GeoJSON representation of the grid spec
"""
if geopolygon is not None:
_tiles = self.tiles_from_geopolygon(geopolygon)
elif bbox is not None:
_tiles = self.tiles(bbox)
else:
valid_region = self.crs.valid_region
if valid_region is None:
valid_region = geom.box(-180, -90, 180, 90, "epsg:4326")
_tiles = self.tiles(
valid_region.buffer(-0.05).to_crs(self.crs, resolution=0.5).boundingbox
)
props = {
"native_crs": str(self.crs),
"tile_shape": self._shape,
"resolution": self.resolution,
}
features = []
for (ix, iy), geobox in _tiles:
features.append(geobox.extent.geojson(idx=f"{ix},{iy}"))
return {"type": "FeatureCollection", "features": features, "properties": props}
[docs] @staticmethod
def from_sample_tile(
box: Geometry,
*,
shape: SomeShape = (-1, -1),
idx: SomeIndex2d = (0, 0),
flipx: bool = False,
flipy: bool = False,
) -> "GridSpec":
"""
Construct :py:class:`odc.geo.gridspec.GridSpec` from a sample tile.
Bounding box of one tile, it's index, and a shape of the tile in pixels fully define a grid.
This method could be more convenient than canonical representation.
:param box: Geometry of the tile in some CRS
:param idx: ``ix, iy`` index of the sample tile, default ``(0, 0)``
:param shape: ``height, width`` of the tile, must be supplied
:param flipx: when ``True`` grid index for X axis increments left to right
:param flipy: when ``True`` grid index for Y axis increments top to bottom
"""
if shape == (-1, -1):
raise ValueError("Must specify shape of the tile in pixels")
shape = shape_(shape)
idx = ixy_(idx)
crs = norm_crs_or_error(box.crs)
ix, iy = idx.xy
nx, ny = shape.xy
bbox = box.boundingbox
xbin = Bin1D.from_sample_bin(ix, bbox.range_x, -1 if flipx else 1)
ybin = Bin1D.from_sample_bin(iy, bbox.range_y, -1 if flipy else 1)
origin = xy_(xbin.origin, ybin.origin)
resolution = resyx_(-ybin.sz / ny, xbin.sz / nx)
return GridSpec(
crs, shape, resolution=resolution, origin=origin, flipx=flipx, flipy=flipy
)
[docs] @staticmethod
def web_tiles(zoom: int, npix: int = 256) -> "GridSpec":
"""
Construct :py:class:`~odc.geo.gridspec.GridSpec` that matches slippy tiles.
Tile with index ``(0, 0)`` is at the top left corner of the map, and tile with index
``(2^zoom - 1, 2^zoom - 1)`` is at the bottom right.
:param zoom:
Zoom level, ``0`` is one single tile, ``1`` is ``2x2``, ``3`` is ``8x8``...
:param npix:
Usually tiles are ``256x256`` pixels wide. But you can override that.
:return: Grid spec that encodes slippy tiles scheme in ``EPSG:3857``.
"""
R = 6_378_137
pi = math.pi
tsz = pi * R * (2 ** (1 - zoom)) # in meters
x, y = -pi * R, pi * R # top-left corner of tile 0,0
tile0 = geom.box(x, y - tsz, x + tsz, y, "epsg:3857")
shape = (npix, npix)
return GridSpec.from_sample_tile(tile0, shape=shape, idx=(0, 0), flipy=True)