
"""simple docstring"""
from typing import SupportsIndex

import numpy as np
from scipy.ndimage import convolve


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_						,					lowerCamelCase_			)  ->      List[Any]:


					'''simple docstring'''
					__a:    Tuple		     =       np.stack((horizontal_flow, vertical_flow)						,					2			)

					# Create a grid of all pixel coordinates and subtract the flow to get the
					# target pixels coordinates
					__a:    int		     =       np.stack(
					    np.meshgrid(np.arange(0						,					image.shape[1]			)						,					np.arange(0						,					image.shape[0]			)			)						,					2			)
					__a:    Optional[Any]		     =       np.round(grid - flow			).astype(np.intaa			)

					# Find the locations outside of the original image
					__a:    Union[str, Any]		     =       (grid < 0) | (grid >= np.array([image.shape[1], image.shape[0]]			))
					__a:    List[str]		     =       0

					__a:    Optional[int]		     =       image[grid[:, :, 1], grid[:, :, 0]]

					# Set pixels at invalid locations to 0
					__a:    Dict		     =       0

					return warped


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_						,					lowerCamelCase_						,					lowerCamelCase_ = None						,					)  ->      int:


					'''simple docstring'''
					if alpha is None:
										__a:    int		     =       0.1

					# Initialize flow
					__a:    Union[str, Any]		     =       np.zeros_like(lowercase_			)
					__a:    Union[str, Any]		     =       np.zeros_like(lowercase_			)

					# Prepare kernels for the calculation of the derivatives and the average velocity
					__a:    Dict		     =       np.array([[-1, 1], [-1, 1]]			) * 0.25
					__a:    Any		     =       np.array([[-1, -1], [1, 1]]			) * 0.25
					__a:    Optional[int]		     =       np.array([[1, 1], [1, 1]]			) * 0.25
					__a:    int		     =       np.array(
					    [[1 / 12, 1 / 6, 1 / 12], [1 / 6, 0, 1 / 6], [1 / 12, 1 / 6, 1 / 12]]			)

					# Iteratively refine the flow
					for _ in range(lowercase_			):
										__a:    str		     =       warp(lowercase_						,					lowercase_						,					lowercase_			)
										__a:    str		     =       convolve(lowercase_						,					lowercase_			) + convolve(lowercase_						,					lowercase_			)
										__a:    int		     =       convolve(lowercase_						,					lowercase_			) + convolve(lowercase_						,					lowercase_			)
										__a:    Any		     =       convolve(lowercase_						,					lowercase_			) + convolve(lowercase_						,					-kernel_t			)

										__a:    Optional[Any]		     =       convolve(lowercase_						,					lowercase_			)
										__a:    Tuple		     =       convolve(lowercase_						,					lowercase_			)

										# This updates the flow as proposed in the paper (Step 12)
										__a:    List[Any]		     =       (
										    derivative_x * avg_horizontal_velocity
										    + derivative_y * avg_vertical_velocity
										    + derivative_t
										)
										__a:    Dict		     =       update / (alpha**2 + derivative_x**2 + derivative_y**2)

										__a:    int		     =       avg_horizontal_velocity - derivative_x * update
										__a:    Tuple		     =       avg_vertical_velocity - derivative_y * update

					return horizontal_flow, vertical_flow


if __name__ == "__main__":
			import doctest

			doctest.testmod()





"""simple docstring"""


import shutil

import requests

def 					_lowerCAmelCase (  lowercase_						,      lowercase_ = False						,      lowercase_ = "."		):
						UpperCAmelCase			 =					'https://api.nasa.gov/planetary/apod'
						return requests.get(lowercase_						,      params={'api_key': api_key}		).json()

def 					_lowerCAmelCase (  lowercase_						,      lowercase_ = "."		):
						UpperCAmelCase			 =					get_apod_data(lowercase_		)
						UpperCAmelCase			 =					apod_data['url']
						UpperCAmelCase			 =					img_url.split('/'		)[-1]
						UpperCAmelCase			 =					requests.get(lowercase_						,      stream=lowercase_		)

						with open(F"""{path}/{img_name}"""						,      'wb+'		) as img_file:
												shutil.copyfileobj(response.raw						,      lowercase_		)
						del response
						return apod_data

def 					_lowerCAmelCase (  lowercase_		):
						UpperCAmelCase			 =					'https://images-api.nasa.gov/search'
						return requests.get(lowercase_						,      params={'q': query}		).json()


if __name__ == "__main__":
				print(save_apod("""YOUR API KEY"""))
				snake_case_								=			get_archive_data("""apollo 2011""")["""collection"""]["""items"""]
				print(apollo_aaaa_items[0]["""data"""][0]["""description"""])





