
import numpy as np
from PIL import Image





def 			lowerCamelCase_ (				lowerCamelCase__	, lowerCamelCase__	, lowerCamelCase__    ):
				lowerCamelCase_						=			np.array(lowerCamelCase__    )
				if arr.shape[0] != arr.shape[1]:
								raise ValueError("The input array is not a square matrix"    )
				lowerCamelCase_						=			0
				lowerCamelCase_						=			0
				lowerCamelCase_						=			0
				lowerCamelCase_						=			0

				# compute the shape of the output matrix
				lowerCamelCase_						=			(arr.shape[0] - size) // stride + 1
				# initialize the output matrix with zeros of shape maxpool_shape
				lowerCamelCase_						=			np.zeros((maxpool_shape, maxpool_shape)    )

				while i < arr.shape[0]:
								if i + size > arr.shape[0]:
												# if the end of the matrix is reached, break
												break
								while j < arr.shape[1]:
												# if the end of the matrix is reached, break
												if j + size > arr.shape[1]:
																break
												# compute the maximum of the pooling matrix
												lowerCamelCase_						=			np.max(arr[i : i + size, j : j + size]    )
												# shift the pooling matrix by stride of column pixels
												j += stride
												mat_j += 1

								# shift the pooling matrix by stride of row pixels
								i += stride
								mat_i += 1

								# reset the column index to 0
								lowerCamelCase_						=			0
								lowerCamelCase_						=			0

				return updated_arr





def 			lowerCamelCase_ (				lowerCamelCase__	, lowerCamelCase__	, lowerCamelCase__    ):
				lowerCamelCase_						=			np.array(lowerCamelCase__    )
				if arr.shape[0] != arr.shape[1]:
								raise ValueError("The input array is not a square matrix"    )
				lowerCamelCase_						=			0
				lowerCamelCase_						=			0
				lowerCamelCase_						=			0
				lowerCamelCase_						=			0

				# compute the shape of the output matrix
				lowerCamelCase_						=			(arr.shape[0] - size) // stride + 1
				# initialize the output matrix with zeros of shape avgpool_shape
				lowerCamelCase_						=			np.zeros((avgpool_shape, avgpool_shape)    )

				while i < arr.shape[0]:
								# if the end of the matrix is reached, break
								if i + size > arr.shape[0]:
												break
								while j < arr.shape[1]:
												# if the end of the matrix is reached, break
												if j + size > arr.shape[1]:
																break
												# compute the average of the pooling matrix
												lowerCamelCase_						=			int(np.average(arr[i : i + size, j : j + size]    )    )
												# shift the pooling matrix by stride of column pixels
												j += stride
												mat_j += 1

								# shift the pooling matrix by stride of row pixels
								i += stride
								mat_i += 1
								# reset the column index to 0
								lowerCamelCase_						=			0
								lowerCamelCase_						=			0

				return updated_arr


# Main Function
if __name__ == "__main__":
			from doctest import testmod

			testmod(name='''avgpooling''', verbose=True)

			# Loading the image
			__A				=Image.open('''path_to_image''')

			# Converting the image to numpy array and maxpooling, displaying the result
			# Ensure that the image is a square matrix

			Image.fromarray(maxpooling(np.array(image), size=3, stride=2)).show()

			# Converting the image to numpy array and averagepooling, displaying the result
			# Ensure that the image is a square matrix

			Image.fromarray(avgpooling(np.array(image), size=3, stride=2)).show()




import math
import time
from typing import Dict, List, Optional

from torch.utils.data import Dataset

from transformers import SeqaSeqTrainer, is_torch_tpu_available
from transformers.trainer_utils import PredictionOutput, speed_metrics


if is_torch_tpu_available(check_device=False):
			import torch_xla.core.xla_model as xm
			import torch_xla.debug.metrics as met




class     _SCREAMING_SNAKE_CASE     (      snake_case_						):



	def __init__(    self						,  *lowercase						,  lowercase=None						,  lowercase=None						,  **lowercase )				->       List[str]:
					super().__init__(*lowercase						,  **lowercase )
					lowerCamelCase_						=			eval_examples
					lowerCamelCase_						=			post_process_function



	def     SCREAMING_SNAKE_CASE_(    self						,  lowercase = None						,  lowercase=None						,  lowercase = None						,  lowercase = "eval"						,  **lowercase						,  )				->       Dict[str, float]:
					lowerCamelCase_						=			gen_kwargs.copy()
					lowerCamelCase_						=			(
					    gen_kwargs["max_length"] if gen_kwargs.get("max_length" ) is not None else self.args.generation_max_length
					)
					lowerCamelCase_						=			(
					    gen_kwargs["num_beams"] if gen_kwargs.get("num_beams" ) is not None else self.args.generation_num_beams
					)
					lowerCamelCase_						=			gen_kwargs

					lowerCamelCase_						=			self.eval_dataset if eval_dataset is None else eval_dataset
					lowerCamelCase_						=			self.get_eval_dataloader(lowercase )
					lowerCamelCase_						=			self.eval_examples if eval_examples is None else eval_examples

					# Temporarily disable metric computation, we will do it in the loop here.
					lowerCamelCase_						=			self.compute_metrics
					lowerCamelCase_						=			None
					lowerCamelCase_						=			time.time()
					lowerCamelCase_						=			self.prediction_loop if self.args.use_legacy_prediction_loop else self.evaluation_loop
					try:
									lowerCamelCase_						=			eval_loop(
									    lowercase						,  description="Evaluation"						,  prediction_loss_only=True if compute_metrics is None else None						,  ignore_keys=lowercase						,  metric_key_prefix=lowercase						,  )
					finally:
									lowerCamelCase_						=			compute_metrics
					lowerCamelCase_						=			self.args.eval_batch_size * self.args.world_size
					if f'{metric_key_prefix}_jit_compilation_time' in output.metrics:
									start_time += output.metrics[f'{metric_key_prefix}_jit_compilation_time']
					output.metrics.update(
					    speed_metrics(
					        lowercase						,  lowercase						,  num_samples=output.num_samples						,  num_steps=math.ceil(output.num_samples / total_batch_size )						,  ) )

					if self.post_process_function is not None and self.compute_metrics is not None and self.args.should_save:
									# Only the main node write the results by default
									lowerCamelCase_						=			self.post_process_function(lowercase						,  lowercase						,  lowercase )
									lowerCamelCase_						=			self.compute_metrics(lowercase )

									# Prefix all keys with metric_key_prefix + '_'
									for key in list(metrics.keys() ):
													if not key.startswith(f'{metric_key_prefix}_' ):
																	lowerCamelCase_						=			metrics.pop(lowercase )

									metrics.update(output.metrics )
					else:
									lowerCamelCase_						=			output.metrics

					if self.args.should_log:
									# Only the main node log the results by default
									self.log(lowercase )

					if self.args.tpu_metrics_debug or self.args.debug:
									# tpu-comment: Logging debug metrics for PyTorch/XLA (compile, execute times, ops, etc.)
									xm.master_print(met.metrics_report() )

					lowerCamelCase_						=			self.callback_handler.on_evaluate(self.args						,  self.state						,  self.control						,  lowercase )
					return metrics



	def     SCREAMING_SNAKE_CASE_(    self						,  lowercase						,  lowercase						,  lowercase=None						,  lowercase = "test"						,  **lowercase )				->       Union[str, Any]:
					lowerCamelCase_						=			gen_kwargs.copy()

					lowerCamelCase_						=			self.get_test_dataloader(lowercase )

					# Temporarily disable metric computation, we will do it in the loop here.
					lowerCamelCase_						=			self.compute_metrics
					lowerCamelCase_						=			None
					lowerCamelCase_						=			time.time()
					lowerCamelCase_						=			self.prediction_loop if self.args.use_legacy_prediction_loop else self.evaluation_loop
					try:
									lowerCamelCase_						=			eval_loop(
									    lowercase						,  description="Prediction"						,  prediction_loss_only=True if compute_metrics is None else None						,  ignore_keys=lowercase						,  metric_key_prefix=lowercase						,  )
					finally:
									lowerCamelCase_						=			compute_metrics

					lowerCamelCase_						=			self.args.eval_batch_size * self.args.world_size
					if f'{metric_key_prefix}_jit_compilation_time' in output.metrics:
									start_time += output.metrics[f'{metric_key_prefix}_jit_compilation_time']
					output.metrics.update(
					    speed_metrics(
					        lowercase						,  lowercase						,  num_samples=output.num_samples						,  num_steps=math.ceil(output.num_samples / total_batch_size )						,  ) )
					if self.post_process_function is None or self.compute_metrics is None:
									return output

					lowerCamelCase_						=			self.post_process_function(lowercase						,  lowercase						,  lowercase						,  "predict" )
					lowerCamelCase_						=			self.compute_metrics(lowercase )

					# Prefix all keys with metric_key_prefix + '_'
					for key in list(metrics.keys() ):
									if not key.startswith(f'{metric_key_prefix}_' ):
													lowerCamelCase_						=			metrics.pop(lowercase )
					metrics.update(output.metrics )
					return PredictionOutput(predictions=predictions.predictions						,  label_ids=predictions.label_ids						,  metrics=lowercase )


