"""simple docstring"""






# Copyright 2023 The HuggingFace Inc. 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.
import ast
import difflib
from collections.abc import Mapping
from typing import Any, Callable, Dict
class     snake_case	(			__UpperCAmelCase    ):




					"""simple docstring"""

					pass






def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase=None ,      lowerCamelCase=False	):
				try:
								UpperCAmelCase__					=							ast.parse(lowerCamelCase	)
				except SyntaxError as e:
								print('The code generated by the agent is not valid.\n' ,      lowerCamelCase	)
								return
				if state is None:
								UpperCAmelCase__					=							{}
				UpperCAmelCase__					=							None
				for idx, node in enumerate(expression.body	):
								try:
												UpperCAmelCase__					=							evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
								except InterpretorError as e:
												UpperCAmelCase__					=							f'''Evaluation of the code stopped at line {idx} before the end because of the following error'''
												if chat_mode:
																msg += (
																    f'''. Copy paste the following error message and send it back to the agent:\nI get an error: \'{e}\''''
																)
												else:
																msg += f''':\n{e}'''
												print(lowerCamelCase	)
												break
								if line_result is not None:
												UpperCAmelCase__					=							line_result

				return result



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				if isinstance(lowerCamelCase ,      ast.Assign	):
								# Assignement -> we evaluate the assignement which should update the state
								# We return the variable assigned as it may be used to determine the final result.
								return evaluate_assign(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.Call	):
								# Function call -> we return the value of the function call
								return evaluate_call(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.Constant	):
								# Constant -> just return the value
								return expression.value
				elif isinstance(lowerCamelCase ,      ast.Dict	):
								# Dict -> evaluate all keys and values
								UpperCAmelCase__					=							[evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	) for k in expression.keys]
								UpperCAmelCase__					=							[evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	) for v in expression.values]
								return dict(zip(lowerCamelCase ,      lowerCamelCase	)	)
				elif isinstance(lowerCamelCase ,      ast.Expr	):
								# Expression -> evaluate the content
								return evaluate_ast(expression.value ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.For	):
								# For loop -> execute the loop
								return evaluate_for(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.FormattedValue	):
								# Formatted value (part of f-string) -> evaluate the content and return
								return evaluate_ast(expression.value ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.If	):
								# If -> execute the right branch
								return evaluate_if(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
				elif hasattr(lowerCamelCase ,      'Index'	) and isinstance(lowerCamelCase ,      ast.Index	):
								return evaluate_ast(expression.value ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.JoinedStr	):
								return "".join([str(evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)	) for v in expression.values]	)
				elif isinstance(lowerCamelCase ,      ast.List	):
								# List -> evaluate all elements
								return [evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	) for elt in expression.elts]
				elif isinstance(lowerCamelCase ,      ast.Name	):
								# Name -> pick up the value in the state
								return evaluate_name(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
				elif isinstance(lowerCamelCase ,      ast.Subscript	):
								# Subscript -> return the value of the indexing
								return evaluate_subscript(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
				else:
								# For now we refuse anything else. Let's add things as we need them.
								raise InterpretorError(f'''{expression.__class__.__name__} is not supported.'''	)



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				UpperCAmelCase__					=							assign.targets
				UpperCAmelCase__					=							evaluate_ast(assign.value ,      lowerCamelCase ,      lowerCamelCase	)

				if len(lowerCamelCase	) == 1:
								UpperCAmelCase__					=							result
				else:
								if len(lowerCamelCase	) != len(lowerCamelCase	):
												raise InterpretorError(f'''Expected {len(lowerCamelCase	)} values but got {len(lowerCamelCase	)}.'''	)
								for var_name, r in zip(lowerCamelCase ,      lowerCamelCase	):
												UpperCAmelCase__					=							r
				return result



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				if not isinstance(call.func ,      ast.Name	):
								raise InterpretorError(
								    f'''It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func} of '''
								    f'''type {type(call.func	)}.'''	)
				UpperCAmelCase__					=							call.func.id
				if func_name not in tools:
								raise InterpretorError(
								    f'''It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func.id}).'''	)

				UpperCAmelCase__					=							tools[func_name]
				# Todo deal with args
				UpperCAmelCase__					=							[evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	) for arg in call.args]
				UpperCAmelCase__					=							{keyword.arg: evaluate_ast(keyword.value ,      lowerCamelCase ,      lowerCamelCase	) for keyword in call.keywords}
				return func(*lowerCamelCase ,      **lowerCamelCase	)



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				UpperCAmelCase__					=							evaluate_ast(subscript.slice ,      lowerCamelCase ,      lowerCamelCase	)
				UpperCAmelCase__					=							evaluate_ast(subscript.value ,      lowerCamelCase ,      lowerCamelCase	)
				if isinstance(lowerCamelCase ,      (list, tuple)	):
								return value[int(lowerCamelCase	)]
				if index in value:
								return value[index]
				if isinstance(lowerCamelCase ,      lowerCamelCase	) and isinstance(lowerCamelCase ,      lowerCamelCase	):
								UpperCAmelCase__					=							difflib.get_close_matches(lowerCamelCase ,      list(value.keys()	)	)
								if len(lowerCamelCase	) > 0:
												return value[close_matches[0]]

				raise InterpretorError(f'''Could not index {value} with \'{index}\'.'''	)



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				if name.id in state:
								return state[name.id]
				UpperCAmelCase__					=							difflib.get_close_matches(name.id ,      list(state.keys()	)	)
				if len(lowerCamelCase	) > 0:
								return state[close_matches[0]]
				raise InterpretorError(f'''The variable `{name.id}` is not defined.'''	)



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				if len(condition.ops	) > 1:
								raise InterpretorError('Cannot evaluate conditions with multiple operators'	)

				UpperCAmelCase__					=							evaluate_ast(condition.left ,      lowerCamelCase ,      lowerCamelCase	)
				UpperCAmelCase__					=							condition.ops[0]
				UpperCAmelCase__					=							evaluate_ast(condition.comparators[0] ,      lowerCamelCase ,      lowerCamelCase	)

				if isinstance(lowerCamelCase ,      ast.Eq	):
								return left == right
				elif isinstance(lowerCamelCase ,      ast.NotEq	):
								return left != right
				elif isinstance(lowerCamelCase ,      ast.Lt	):
								return left < right
				elif isinstance(lowerCamelCase ,      ast.LtE	):
								return left <= right
				elif isinstance(lowerCamelCase ,      ast.Gt	):
								return left > right
				elif isinstance(lowerCamelCase ,      ast.GtE	):
								return left >= right
				elif isinstance(lowerCamelCase ,      ast.Is	):
								return left is right
				elif isinstance(lowerCamelCase ,      ast.IsNot	):
								return left is not right
				elif isinstance(lowerCamelCase ,      ast.In	):
								return left in right
				elif isinstance(lowerCamelCase ,      ast.NotIn	):
								return left not in right
				else:
								raise InterpretorError(f'''Operator not supported: {comparator}'''	)



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				UpperCAmelCase__					=							None
				if evaluate_condition(if_statement.test ,      lowerCamelCase ,      lowerCamelCase	):
								for line in if_statement.body:
												UpperCAmelCase__					=							evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
												if line_result is not None:
																UpperCAmelCase__					=							line_result
				else:
								for line in if_statement.orelse:
												UpperCAmelCase__					=							evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
												if line_result is not None:
																UpperCAmelCase__					=							line_result
				return result







def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				UpperCAmelCase__					=							None
				UpperCAmelCase__					=							evaluate_ast(for_loop.iter ,      lowerCamelCase ,      lowerCamelCase	)
				for counter in iterator:
								UpperCAmelCase__					=							counter
								for expression in for_loop.body:
												UpperCAmelCase__					=							evaluate_ast(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
												if line_result is not None:
																UpperCAmelCase__					=							line_result
				return result




"""simple docstring"""






from typing import SupportsIndex

import numpy as np
from scipy.ndimage import convolve



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	):
				UpperCAmelCase__					=							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__					=							np.stack(
				    np.meshgrid(np.arange(0 ,      image.shape[1]	) ,      np.arange(0 ,      image.shape[0]	)	) ,      2	)
				UpperCAmelCase__					=							np.round(grid - flow	).astype(np.intaa	)

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

				UpperCAmelCase__					=							image[grid[:, :, 1], grid[:, :, 0]]

				# Set pixels at invalid locations to 0
				UpperCAmelCase__					=							0

				return warped



def   a_						( lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase = None ,      ):
				if alpha is None:
								UpperCAmelCase__					=							0.1

				# Initialize flow
				UpperCAmelCase__					=							np.zeros_like(lowerCamelCase	)
				UpperCAmelCase__					=							np.zeros_like(lowerCamelCase	)

				# Prepare kernels for the calculation of the derivatives and the average velocity
				UpperCAmelCase__					=							np.array([[-1, 1], [-1, 1]]	) * 0.25
				UpperCAmelCase__					=							np.array([[-1, -1], [1, 1]]	) * 0.25
				UpperCAmelCase__					=							np.array([[1, 1], [1, 1]]	) * 0.25
				UpperCAmelCase__					=							np.array(
				    [[1 / 1_2, 1 / 6, 1 / 1_2], [1 / 6, 0, 1 / 6], [1 / 1_2, 1 / 6, 1 / 1_2]]	)

				# Iteratively refine the flow
				for _ in range(lowerCamelCase	):
								UpperCAmelCase__					=							warp(lowerCamelCase ,      lowerCamelCase ,      lowerCamelCase	)
								UpperCAmelCase__					=							convolve(lowerCamelCase ,      lowerCamelCase	) + convolve(lowerCamelCase ,      lowerCamelCase	)
								UpperCAmelCase__					=							convolve(lowerCamelCase ,      lowerCamelCase	) + convolve(lowerCamelCase ,      lowerCamelCase	)
								UpperCAmelCase__					=							convolve(lowerCamelCase ,      lowerCamelCase	) + convolve(lowerCamelCase ,      -kernel_t	)

								UpperCAmelCase__					=							convolve(lowerCamelCase ,      lowerCamelCase	)
								UpperCAmelCase__					=							convolve(lowerCamelCase ,      lowerCamelCase	)

								# This updates the flow as proposed in the paper (Step 12)
								UpperCAmelCase__					=							(
								    derivative_x * avg_horizontal_velocity
								    + derivative_y * avg_vertical_velocity
								    + derivative_t
								)
								UpperCAmelCase__					=							update / (alpha**2 + derivative_x**2 + derivative_y**2)

								UpperCAmelCase__					=							avg_horizontal_velocity - derivative_x * update
								UpperCAmelCase__					=							avg_vertical_velocity - derivative_y * update

				return horizontal_flow, vertical_flow


if __name__ == "__main__":
						import doctest

						doctest.testmod()



