""" Geo projection. """ from typing import Optional import numpy as np from roentgen.util import MinMax __author__ = "Sergey Vartanov" __email__ = "me@enzet.ru" EQUATOR_LENGTH: float = 40_075_017 # meters def pseudo_mercator(coordinates: np.array) -> np.array: """ Use spherical pseudo-Mercator projection to convert geo coordinates into plane. :param coordinates: geo positional in the form of (latitude, longitude) :return: position on the plane in the form of (x, y) """ y: float = ( 180 / np.pi * np.log(np.tan(np.pi / 4 + coordinates[0] * np.pi / 360)) ) return np.array((coordinates[1], y)) def osm_zoom_level_to_pixels_per_meter(zoom_level: float) -> float: """ Convert OSM zoom level to pixels per meter on Equator. See https://wiki.openstreetmap.org/wiki/Zoom_levels :param zoom_level: integer number usually not bigger than 20, but this function allows any non-negative float value """ return 2 ** zoom_level / 156415 class Flinger: """ Convert geo coordinates into SVG position points. """ def __init__( self, geo_boundaries: MinMax, scale: float = 18, border: np.array = np.array((0, 0)), ): """ :param geo_boundaries: minimum and maximum latitude and longitude :param scale: OSM zoom level """ self.geo_boundaries: MinMax = geo_boundaries self.border = border self.ratio: float = ( osm_zoom_level_to_pixels_per_meter(scale) * EQUATOR_LENGTH / 360 ) self.size: np.array = border * 2 + self.ratio * ( pseudo_mercator(self.geo_boundaries.max_) - pseudo_mercator(self.geo_boundaries.min_) ) self.pixels_per_meter = osm_zoom_level_to_pixels_per_meter(scale) self.size: np.array = self.size.astype(int).astype(float) def fling(self, coordinates: np.array) -> np.array: """ Convert geo coordinates into SVG position points. :param coordinates: vector to fling """ result: np.array = self.border + self.ratio * ( pseudo_mercator(coordinates) - pseudo_mercator(self.geo_boundaries.min_) ) # Invert y axis on coordinate plane. result[1] = self.size[1] - result[1] return result def get_scale(self, coordinates: Optional[np.array] = None) -> float: """ Return pixels per meter ratio for the given geo coordinates. :param coordinates: geo coordinates """ if coordinates is None: # Get pixels per meter ratio for the center of the boundary box. coordinates = self.geo_boundaries.center() scale_factor: float = 1 / np.cos(coordinates[0] / 180 * np.pi) return self.pixels_per_meter * scale_factor