

"""simple docstring"""





import mpmath  # for roots of unity
import numpy as np







class 							SCREAMING_SNAKE_CASE   :






					"""simple docstring"""



					def __init__(			self     :							Tuple  ,lowercase_     :							int=None  ,lowercase_     :							Dict=None						):
						# Input as list
						lowerCAmelCase__      :		Optional[Any]    							=      list(poly_a or [0]						)[:]
						lowerCAmelCase__      :		Any    							=      list(poly_b or [0]						)[:]

						# Remove leading zero coefficients
						while self.polyA[-1] == 0:
							self.polyA.pop()
						lowerCAmelCase__      :		str    							=      len(self.polyA						)

						while self.polyB[-1] == 0:
							self.polyB.pop()
						lowerCAmelCase__      :		Any    							=      len(self.polyB						)

						# Add 0 to make lengths equal a power of 2
						lowerCAmelCase__      :		List[Any]    							=      int(
						    2 ** np.ceil(np.loga(len(self.polyA						) + len(self.polyB						) - 1						)						)						)

						while len(self.polyA						) < self.c_max_length:
							self.polyA.append(0						)
						while len(self.polyB						) < self.c_max_length:
							self.polyB.append(0						)
						# A complex root used for the fourier transform
						lowerCAmelCase__      :		Optional[Any]    							=      complex(mpmath.root(x=1  ,n=self.c_max_length  ,k=1						)						)

						# The product
						lowerCAmelCase__      :		Tuple    							=      self.__multiply()







					def 			__lowerCAmelCase					(			self     :							Optional[int]  ,lowercase_     :							Union[str, Any]						):
						lowerCAmelCase__      :		List[Any]    							=      [[x] for x in self.polyA] if which == '''A''' else [[x] for x in self.polyB]
						# Corner case
						if len(lowercase_						) <= 1:
							return dft[0]
						#
						lowerCAmelCase__      :		Optional[Any]    							=      self.c_max_length // 2
						while next_ncol > 0:
							lowerCAmelCase__      :		str    							=      [[] for i in range(lowercase_						)]
							lowerCAmelCase__      :		str    							=      self.root**next_ncol

							# First half of next step
							lowerCAmelCase__      :		str    							=      1
							for j in range(self.c_max_length // (next_ncol * 2)						):
								for i in range(lowercase_						):
									new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]						)
								current_root *= root
							# Second half of next step
							lowerCAmelCase__      :		Union[str, Any]    							=      1
							for j in range(self.c_max_length // (next_ncol * 2)						):
								for i in range(lowercase_						):
									new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]						)
								current_root *= root
							# Update
							lowerCAmelCase__      :		Optional[int]    							=      new_dft
							lowerCAmelCase__      :		int    							=      next_ncol // 2
						return dft[0]







					def 			__lowerCAmelCase					(			self     :							Tuple						):
						lowerCAmelCase__      :		Dict    							=      self.__dft('''A'''						)
						lowerCAmelCase__      :		Dict    							=      self.__dft('''B'''						)
						lowerCAmelCase__      :		Tuple    							=      [[dft_a[i] * dft_b[i] for i in range(self.c_max_length						)]]
						del dft_a
						del dft_b

						# Corner Case
						if len(inverce_c[0]						) <= 1:
							return inverce_c[0]
						# Inverse DFT
						lowerCAmelCase__      :		Any    							=      2
						while next_ncol <= self.c_max_length:
							lowerCAmelCase__      :		Any    							=      [[] for i in range(lowercase_						)]
							lowerCAmelCase__      :		Optional[Any]    							=      self.root ** (next_ncol // 2)
							lowerCAmelCase__      :		Dict    							=      1
							# First half of next step
							for j in range(self.c_max_length // next_ncol						):
								for i in range(next_ncol // 2						):
									# Even positions
									new_inverse_c[i].append(
									    (
									        inverce_c[i][j]
									        + inverce_c[i][j + self.c_max_length // next_ncol]
									    )
									    / 2						)
									# Odd positions
									new_inverse_c[i + next_ncol // 2].append(
									    (
									        inverce_c[i][j]
									        - inverce_c[i][j + self.c_max_length // next_ncol]
									    )
									    / (2 * current_root)						)
								current_root *= root
							# Update
							lowerCAmelCase__      :		List[Any]    							=      new_inverse_c
							next_ncol *= 2
						# Unpack
						lowerCAmelCase__      :		Union[str, Any]    							=      [round(x[0].real  ,8						) + round(x[0].imag  ,8						) * 1j for x in inverce_c]

						# Remove leading 0's
						while inverce_c[-1] == 0:
							inverce_c.pop()
						return inverce_c







					def __str__(			self     :							str						):
						lowerCAmelCase__      :		List[str]    							=      '''A = ''' + ''' + '''.join(
						    F'{coef}*x^{i}' for coef, i in enumerate(self.polyA[: self.len_A]						)						)
						lowerCAmelCase__      :		int    							=      '''B = ''' + ''' + '''.join(
						    F'{coef}*x^{i}' for coef, i in enumerate(self.polyB[: self.len_B]						)						)
						lowerCAmelCase__      :		Union[str, Any]    							=      '''A*B = ''' + ''' + '''.join(
						    F'{coef}*x^{i}' for coef, i in enumerate(self.product						)						)

						return F'{a}\n{b}\n{c}'


# Unit tests
if __name__ == "__main__":
							import doctest

							doctest.testmod()







"""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.
from typing import TYPE_CHECKING

from ..models.auto import AutoModelForVisionaSeq
from ..utils import requires_backends
from .base import PipelineTool


if TYPE_CHECKING:
							from PIL import Image







class 							SCREAMING_SNAKE_CASE   (						a_			):






					"""simple docstring"""



					lowercase__												=			"Salesforce/blip-image-captioning-base"
					lowercase__												=			(
					    "This is a tool that generates a description of an image. It takes an input named `image` which should be the "
					    "image to caption, and returns a text that contains the description in English."
					)
					lowercase__												=			"image_captioner"
					lowercase__												=			AutoModelForVisionaSeq

					lowercase__												=			["image"]
					lowercase__												=			["text"]







					def __init__(			self     :							int  ,*lowercase_     :							int  ,**lowercase_     :							List[str]						):
						requires_backends(self  ,['''vision''']						)
						super().__init__(*lowercase_  ,**lowercase_						)







					def 			__lowerCAmelCase					(			self     :							List[str]  ,lowercase_     :							"Image"						):
						return self.pre_processor(images=lowercase_  ,return_tensors='''pt'''						)







					def 			__lowerCAmelCase					(			self     :							List[Any]  ,lowercase_     :							Any						):
						return self.model.generate(**lowercase_						)







					def 			__lowerCAmelCase					(			self     :							Dict  ,lowercase_     :							Union[str, Any]						):
						return self.pre_processor.batch_decode(lowercase_  ,skip_special_tokens=lowercase_						)[0].strip()




