
from math import sqrt

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (
				    number >= 0
				), "'number' must been an int and positive"

				lowercase         =      True

				# 0 and 1 are none primes.
				if number <= 1:
								lowercase         =      False

				for divisor in range(2		,    int(round(sqrt(__magic_name__						)						)						) + 1						):
								# if 'number' divisible by 'divisor' then sets 'status'
								# of false and break up the loop.
								if number % divisor == 0:
												lowercase         =      False
												break

    # precondition
				assert isinstance(__magic_name__		,    __magic_name__						), "'status' must been from type bool"

				return status

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (n > 2), "'N' must been an int and > 2"

				# beginList: contains all natural numbers from 2 up to N
				lowercase         =      list(range(2		,    n + 1						)						)

				lowercase         =      []  # this list will be returns.

				# actual sieve of erathostenes
				for i in range(len(__magic_name__						)						):
								for j in range(i + 1		,    len(__magic_name__						)						):
												if (begin_list[i] != 0) and (begin_list[j] % begin_list[i] == 0):
																lowercase         =      0

    # filters actual prime numbers.
				lowercase         =      [x for x in begin_list if x != 0]

				# precondition
				assert isinstance(__magic_name__		,    __magic_name__						), "'ans' must been from type list"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (n > 2), "'N' must been an int and > 2"

				lowercase         =      []

				# iterates over all numbers between 2 up to N+1
				# if a number is prime then appends to list 'ans'
				for number in range(2		,    n + 1						):
								if is_prime(__magic_name__						):
												ans.append(__magic_name__						)

    # precondition
				assert isinstance(__magic_name__		,    __magic_name__						), "'ans' must been from type list"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and number >= 0, "'number' must been an int and >= 0"

				lowercase         =      []  # this list will be returns of the function.

				# potential prime number factors.

				lowercase         =      2

				lowercase         =      number

				if number == 0 or number == 1:
								ans.append(__magic_name__						)

				# if 'number' not prime then builds the prime factorization of 'number'
				elif not is_prime(__magic_name__						):
								while quotient != 1:
												if is_prime(__magic_name__						) and (quotient % factor == 0):
																ans.append(__magic_name__						)
																quotient /= factor
												else:
																factor += 1

				else:
								ans.append(__magic_name__						)

				# precondition
				assert isinstance(__magic_name__		,    __magic_name__						), "'ans' must been from type list"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (
				    number >= 0
				), "'number' bust been an int and >= 0"

				lowercase         =      0

				# prime factorization of 'number'
				lowercase         =      prime_factorization(__magic_name__						)

				lowercase         =      max(__magic_name__						)

				# precondition
				assert isinstance(__magic_name__		,    __magic_name__						), "'ans' must been from type int"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (
				    number >= 0
				), "'number' bust been an int and >= 0"

				lowercase         =      0

				# prime factorization of 'number'
				lowercase         =      prime_factorization(__magic_name__						)

				lowercase         =      min(__magic_name__						)

				# precondition
				assert isinstance(__magic_name__		,    __magic_name__						), "'ans' must been from type int"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						), "'number' must been an int"
				assert isinstance(number % 2 == 0		,    __magic_name__						), "compare bust been from type bool"

				return number % 2 == 0

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						), "'number' must been an int"
				assert isinstance(number % 2 != 0		,    __magic_name__						), "compare bust been from type bool"

				return number % 2 != 0

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert (
				    isinstance(__magic_name__		,    __magic_name__						) and (number > 2) and is_even(__magic_name__						)
				), "'number' must been an int, even and > 2"

				lowercase         =      []  # this list will returned

				# creates a list of prime numbers between 2 up to 'number'
				lowercase         =      get_prime_numbers(__magic_name__						)
				lowercase         =      len(__magic_name__						)

				# run variable for while-loops.
				lowercase         =      0
				lowercase         =      None

				# exit variable. for break up the loops
				lowercase         =      True

				while i < len_pn and loop:
								lowercase         =      i + 1

								while j < len_pn and loop:
												if prime_numbers[i] + prime_numbers[j] == number:
																lowercase         =      False
																ans.append(prime_numbers[i]						)
																ans.append(prime_numbers[j]						)

												j += 1

								i += 1

				# precondition
				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and (len(__magic_name__						) == 2)
				    and (ans[0] + ans[1] == number)
				    and is_prime(ans[0]						)
				    and is_prime(ans[1]						)
				), "'ans' must contains two primes. And sum of elements must been eq 'number'"

				return ans

def  __snake_case							(	__magic_name__		,    __magic_name__						):







				'''simple docstring'''


				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and isinstance(__magic_name__		,    __magic_name__						)
				    and (numbera >= 0)
				    and (numbera >= 0)
				), "'number1' and 'number2' must been positive integer."

				lowercase         =      0

				while numbera != 0:
								lowercase         =      numbera % numbera
								lowercase         =      numbera
								lowercase         =      rest

				# precondition
				assert isinstance(__magic_name__		,    __magic_name__						) and (
				    numbera >= 0
				), "'number' must been from type int and positive"

				return numbera

def  __snake_case							(	__magic_name__		,    __magic_name__						):







				'''simple docstring'''


				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and isinstance(__magic_name__		,    __magic_name__						)
				    and (numbera >= 1)
				    and (numbera >= 1)
				), "'number1' and 'number2' must been positive integer."

				lowercase         =      1  # actual answer that will be return.

				# for kgV (x,1)
				if numbera > 1 and numbera > 1:
								# builds the prime factorization of 'number1' and 'number2'
								lowercase         =      prime_factorization(__magic_name__						)
								lowercase         =      prime_factorization(__magic_name__						)

				elif numbera == 1 or numbera == 1:
								lowercase         =      []
								lowercase         =      []
								lowercase         =      max(__magic_name__		,    __magic_name__						)

				lowercase         =      0
				lowercase         =      0

				lowercase         =      []  # captured numbers int both 'primeFac1' and 'primeFac2'

				# iterates through primeFac1
				for n in prime_fac_a:
								if n not in done:
												if n in prime_fac_a:
																lowercase         =      prime_fac_a.count(__magic_name__						)
																lowercase         =      prime_fac_a.count(__magic_name__						)

																for _ in range(max(__magic_name__		,    __magic_name__						)						):
																				ans *= n

												else:
																lowercase         =      prime_fac_a.count(__magic_name__						)

																for _ in range(__magic_name__						):
																				ans *= n

												done.append(__magic_name__						)

    # iterates through primeFac2
				for n in prime_fac_a:
								if n not in done:
												lowercase         =      prime_fac_a.count(__magic_name__						)

												for _ in range(__magic_name__						):
																ans *= n

												done.append(__magic_name__						)

    # precondition
				assert isinstance(__magic_name__		,    __magic_name__						) and (
				    ans >= 0
				), "'ans' must been from type int and positive"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (n >= 0), "'number' must been a positive int"

				lowercase         =      0
				lowercase         =      2  # this variable holds the answer

				while index < n:
								index += 1

								ans += 1  # counts to the next number

								# if ans not prime then
								# runs to the next prime number.
								while not is_prime(__magic_name__						):
												ans += 1

    # precondition
				assert isinstance(__magic_name__		,    __magic_name__						) and is_prime(
				    __magic_name__						), "'ans' must been a prime number and from type int"

				return ans

def  __snake_case							(	__magic_name__		,    __magic_name__						):







				'''simple docstring'''


				assert (
				    is_prime(__magic_name__						) and is_prime(__magic_name__						) and (p_number_a < p_number_a)
				), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

				lowercase         =      p_number_a + 1  # jump to the next number

				lowercase         =      []  # this list will be returns.

				# if number is not prime then
				# fetch the next prime number.
				while not is_prime(__magic_name__						):
								number += 1

				while number < p_number_a:
								ans.append(__magic_name__						)

								number += 1

								# fetch the next prime number.
								while not is_prime(__magic_name__						):
												number += 1

    # precondition
				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and ans[0] != p_number_a
				    and ans[len(__magic_name__						) - 1] != p_number_a
				), "'ans' must been a list without the arguments"

				# 'ans' contains not 'pNumber1' and 'pNumber2' !
				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (n >= 1), "'n' must been int and >= 1"

				lowercase         =      []  # will be returned.

				for divisor in range(1		,    n + 1						):
								if n % divisor == 0:
												ans.append(__magic_name__						)

    # precondition
				assert ans[0] == 1 and ans[len(__magic_name__						) - 1] == n, "Error in function getDivisiors(...)"

				return ans

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (
				    number > 1
				), "'number' must been an int and >= 1"

				lowercase         =      get_divisors(__magic_name__						)

				# precondition
				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and (divisors[0] == 1)
				    and (divisors[len(__magic_name__						) - 1] == number)
				), "Error in help-function getDivisiors(...)"

				# summed all divisors up to 'number' (exclusive), hence [:-1]
				return sum(divisors[:-1]						) == number

def  __snake_case							(	__magic_name__		,    __magic_name__						):







				'''simple docstring'''


				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and isinstance(__magic_name__		,    __magic_name__						)
				    and (denominator != 0)
				), "The arguments must been from type int and 'denominator' != 0"

				# build the greatest common divisor of numerator and denominator.
				lowercase         =      gcd(abs(__magic_name__						)		,    abs(__magic_name__						)						)

				# precondition
				assert (
				    isinstance(__magic_name__		,    __magic_name__						)
				    and (numerator % gcd_of_fraction == 0)
				    and (denominator % gcd_of_fraction == 0)
				), "Error in function gcd(...,...)"

				return (numerator // gcd_of_fraction, denominator // gcd_of_fraction)

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (n >= 0), "'n' must been a int and >= 0"

				lowercase         =      1  # this will be return.

				for factor in range(1		,    n + 1						):
								ans *= factor

				return ans




def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


				assert isinstance(__magic_name__		,    __magic_name__						) and (n >= 0), "'n' must been an int and >= 0"

				lowercase         =      0
				lowercase         =      1
				lowercase         =      1  # this will be return

				for _ in range(n - 1						):
								lowercase         =      ans
								ans += fiba
								lowercase         =      tmp

				return ans


from collections import defaultdict
from typing import Optional

from ..image_utils import load_image
from ..utils import (
    add_end_docstrings,
    is_torch_available,
    logging,
    requires_backends,
)
from .base import PIPELINE_INIT_ARGS, ChunkPipeline


if is_torch_available():
						import torch

						from ..models.auto.modeling_auto import MODEL_FOR_MASK_GENERATION_MAPPING

_snake_case      :							List[Any]     	=    logging.get_logger(__name__)





@add_end_docstrings(__a		)
class   UpperCamelCase_      (      __a		):







						'''simple docstring'''



						def __init__(			self							:Tuple		,    **lowerCAmelCase__							:Dict     )  ->int:
										super().__init__(**lowerCAmelCase__     )
										requires_backends(self		,    "vision"     )
										requires_backends(self		,    "torch"     )

										if self.framework != "pt":
														raise ValueError(F'''The {self.__class__} is only available in PyTorch.'''     )

										self.check_model_type(lowerCAmelCase__     )





						def        SCREAMING_SNAKE_CASE(			self							:Tuple		,    **lowerCAmelCase__							:Union[str, Any]     )  ->List[Any]:
										lowercase         =      {}
										lowercase         =      {}
										lowercase         =      {}
										# preprocess args
										if "points_per_batch" in kwargs:
														lowercase         =      kwargs["points_per_batch"]
										if "points_per_crop" in kwargs:
														lowercase         =      kwargs["points_per_crop"]
										if "crops_n_layers" in kwargs:
														lowercase         =      kwargs["crops_n_layers"]
										if "crop_overlap_ratio" in kwargs:
														lowercase         =      kwargs["crop_overlap_ratio"]
										if "crop_n_points_downscale_factor" in kwargs:
														lowercase         =      kwargs["crop_n_points_downscale_factor"]
										# postprocess args
										if "pred_iou_thresh" in kwargs:
														lowercase         =      kwargs["pred_iou_thresh"]
										if "stability_score_offset" in kwargs:
														lowercase         =      kwargs["stability_score_offset"]
										if "mask_threshold" in kwargs:
														lowercase         =      kwargs["mask_threshold"]
										if "stability_score_thresh" in kwargs:
														lowercase         =      kwargs["stability_score_thresh"]
										if "crops_nms_thresh" in kwargs:
														lowercase         =      kwargs["crops_nms_thresh"]
										if "output_rle_mask" in kwargs:
														lowercase         =      kwargs["output_rle_mask"]
										if "output_bboxes_mask" in kwargs:
														lowercase         =      kwargs["output_bboxes_mask"]
										return preprocess_kwargs, forward_params, postprocess_kwargs





						def __call__(			self							:List[str]		,    lowerCAmelCase__							:int		,    *lowerCAmelCase__							:str		,    lowerCAmelCase__							:Optional[Any]=None		,    lowerCAmelCase__							:Any=None		,    **lowerCAmelCase__							:List[str]     )  ->Optional[int]:
										return super().__call__(lowerCAmelCase__		,    *lowerCAmelCase__		,    num_workers=lowerCAmelCase__		,    batch_size=lowerCAmelCase__		,    **lowerCAmelCase__     )





						def        SCREAMING_SNAKE_CASE(			self							:Optional[Any]		,    lowerCAmelCase__							:str		,    lowerCAmelCase__							:Optional[Any]=64		,    lowerCAmelCase__							:int = 0		,    lowerCAmelCase__							:float = 512 / 1500		,    lowerCAmelCase__							:Optional[int] = 32		,    lowerCAmelCase__							:Optional[int] = 1		,    )  ->Any:
										lowercase         =      load_image(lowerCAmelCase__     )
										lowercase         =      self.image_processor.size["longest_edge"]
										lowercase     ,	lowercase     ,	lowercase     ,	lowercase         =      self.image_processor.generate_crop_boxes(
										    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )
										lowercase         =      self.image_processor(images=lowerCAmelCase__		,    return_tensors="pt"     )

										with self.device_placement():
														if self.framework == "pt":
																		lowercase         =      self.get_inference_context()
																		with inference_context():
																						lowercase         =      self._ensure_tensor_on_device(lowerCAmelCase__		,    device=self.device     )
																						lowercase         =      self.model.get_image_embeddings(model_inputs.pop("pixel_values"     )     )
																						lowercase         =      image_embeddings

										lowercase         =      grid_points.shape[1]
										lowercase         =      points_per_batch if points_per_batch is not None else n_points

										if points_per_batch <= 0:
														raise ValueError(
														    "Cannot have points_per_batch<=0. Must be >=1 to returned batched outputs. "
														    "To return all points at once, set points_per_batch to None"     )

										for i in range(0		,    lowerCAmelCase__		,    lowerCAmelCase__     ):
														lowercase         =      grid_points[:, i : i + points_per_batch, :, :]
														lowercase         =      input_labels[:, i : i + points_per_batch]
														lowercase         =      i == n_points - points_per_batch
														yield {
														    "input_points": batched_points,
														    "input_labels": labels,
														    "input_boxes": crop_boxes,
														    "is_last": is_last,
														    **model_inputs,
														}





						def        SCREAMING_SNAKE_CASE(			self							:Union[str, Any]		,    lowerCAmelCase__							:List[Any]		,    lowerCAmelCase__							:Dict=0.88		,    lowerCAmelCase__							:Dict=0.95		,    lowerCAmelCase__							:str=0		,    lowerCAmelCase__							:int=1		,    )  ->str:
										lowercase         =      model_inputs.pop("input_boxes"     )
										lowercase         =      model_inputs.pop("is_last"     )
										lowercase         =      model_inputs.pop("original_sizes"     ).tolist()
										lowercase         =      model_inputs.pop("reshaped_input_sizes"     ).tolist()

										lowercase         =      self.model(**lowerCAmelCase__     )

										# post processing happens here in order to avoid CPU GPU copies of ALL the masks
										lowercase         =      model_outputs["pred_masks"]
										lowercase         =      self.image_processor.post_process_masks(
										    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    binarize=lowerCAmelCase__     )
										lowercase         =      model_outputs["iou_scores"]
										lowercase     ,	lowercase     ,	lowercase         =      self.image_processor.filter_masks(
										    masks[0]		,    iou_scores[0]		,    original_sizes[0]		,    input_boxes[0]		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    )
										return {
										    "masks": masks,
										    "is_last": is_last,
										    "boxes": boxes,
										    "iou_scores": iou_scores,
										}





						def        SCREAMING_SNAKE_CASE(			self							:Any		,    lowerCAmelCase__							:Dict		,    lowerCAmelCase__							:Union[str, Any]=False		,    lowerCAmelCase__							:str=False		,    lowerCAmelCase__							:int=0.7		,    )  ->List[Any]:
										lowercase         =      []
										lowercase         =      []
										lowercase         =      []
										for model_output in model_outputs:
														all_scores.append(model_output.pop("iou_scores"     )     )
														all_masks.extend(model_output.pop("masks"     )     )
														all_boxes.append(model_output.pop("boxes"     )     )

										lowercase         =      torch.cat(lowerCAmelCase__     )
										lowercase         =      torch.cat(lowerCAmelCase__     )
										lowercase     ,	lowercase     ,	lowercase     ,	lowercase         =      self.image_processor.post_process_for_mask_generation(
										    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )

										lowercase         =      defaultdict(lowerCAmelCase__     )
										for output in model_outputs:
														for k, v in output.items():
																		extra[k].append(lowerCAmelCase__     )

										lowercase         =      {}
										if output_rle_mask:
														lowercase         =      rle_mask

										if output_bboxes_mask:
														lowercase         =      bounding_boxes

										return {"masks": output_masks, "scores": iou_scores, **optional, **extra}
