






from typing import SupportsIndex

import numpy as np
from scipy.ndimage import convolve

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    np.ndarray      ,     __magic_name__   :    np.ndarray      ,     __magic_name__   :    np.ndarray   )						->     np.ndarray:






	"""simple docstring"""



	UpperCamelCase	:Optional[int]		=      np.stack((horizontal_flow, vertical_flow)      ,     2   )

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

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

	UpperCamelCase	:int		=      image[grid[:, :, 1], grid[:, :, 0]]

	# Set pixels at invalid locations to 0
	UpperCamelCase	:int		=      0

	return warped

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    np.ndarray      ,     __magic_name__   :    np.ndarray      ,     __magic_name__   :    SupportsIndex      ,     __magic_name__   :    float | None = None      ,     )						->     tuple[np.ndarray, np.ndarray]:






	"""simple docstring"""



	if alpha is None:
		UpperCamelCase	:int		=      0.1

	# Initialize flow
	UpperCamelCase	:Union[str, Any]		=      np.zeros_like(__magic_name__   )
	UpperCamelCase	:Optional[int]		=      np.zeros_like(__magic_name__   )

	# Prepare kernels for the calculation of the derivatives and the average velocity
	UpperCamelCase	:Union[str, Any]		=      np.array([[-1, 1], [-1, 1]]   ) * 0.25
	UpperCamelCase	:List[Any]		=      np.array([[-1, -1], [1, 1]]   ) * 0.25
	UpperCamelCase	:List[Any]		=      np.array([[1, 1], [1, 1]]   ) * 0.25
	UpperCamelCase	:List[str]		=      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(__magic_name__   ):
		UpperCamelCase	:Optional[Any]		=      warp(__magic_name__      ,     __magic_name__      ,     __magic_name__   )
		UpperCamelCase	:Any		=      convolve(__magic_name__      ,     __magic_name__   ) + convolve(__magic_name__      ,     __magic_name__   )
		UpperCamelCase	:Dict		=      convolve(__magic_name__      ,     __magic_name__   ) + convolve(__magic_name__      ,     __magic_name__   )
		UpperCamelCase	:Union[str, Any]		=      convolve(__magic_name__      ,     __magic_name__   ) + convolve(__magic_name__      ,     -kernel_t   )

		UpperCamelCase	:Optional[int]		=      convolve(__magic_name__      ,     __magic_name__   )
		UpperCamelCase	:Any		=      convolve(__magic_name__      ,     __magic_name__   )

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

		UpperCamelCase	:Optional[Any]		=      avg_horizontal_velocity - derivative_x * update
		UpperCamelCase	:List[Any]		=      avg_vertical_velocity - derivative_y * update

	return horizontal_flow, vertical_flow


if __name__ == "__main__":
	import doctest

	doctest.testmod()








# Copyright 2022 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from pathlib import Path

from .config_args import default_config_file, load_config_from_file
from .config_utils import SubcommandHelpFormatter


UpperCAmelCase_					:		int           = '''Update an existing config file with the latest defaults while maintaining the old configuration.'''

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    str   )						->     Dict:






	"""simple docstring"""



	UpperCamelCase	:Optional[int]		=      args.config_file
	if config_file is None and Path(__magic_name__   ).exists():
		UpperCamelCase	:int		=      default_config_file
	elif not Path(__magic_name__   ).exists():
		raise ValueError(f"""The passed config file located at {config_file} doesn't exist."""   )
	UpperCamelCase	:Dict		=      load_config_from_file(__magic_name__   )

	if config_file.endswith(""".json"""   ):
		config.to_json_file(__magic_name__   )
	else:
		config.to_yaml_file(__magic_name__   )
	return config_file

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    int      ,     __magic_name__   :    Optional[Any]   )						->     List[str]:






	"""simple docstring"""



	UpperCamelCase	:Union[str, Any]		=      parser.add_parser("""update"""      ,     parents=__magic_name__      ,     help=__magic_name__      ,     formatter_class=__magic_name__   )
	parser.add_argument(
	    """--config_file"""      ,     default=__magic_name__      ,     help=(
	        """The path to the config file to update. Will default to a file named default_config.yaml in the cache """
	        """location, which is the content of the environment `HF_HOME` suffixed with 'accelerate', or if you don't have """
	        """such an environment variable, your cache directory ('~/.cache' or the content of `XDG_CACHE_HOME`) suffixed """
	        """with 'huggingface'."""
	    )      ,     )

	parser.set_defaults(func=__magic_name__   )
	return parser

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    Union[str, Any]   )						->     Union[str, Any]:






	"""simple docstring"""



	UpperCamelCase	:Tuple		=      update_config(__magic_name__   )
	print(f"""Sucessfully updated the configuration file at {config_file}."""   )
