





'''simple docstring'''







from __future__ import annotations

from math import pi, pow





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      int | float )			->						float:
						if side_length < 0:
												raise ValueError('''vol_cube() only accepts non-negative values''' )
						return pow(SCREAMING_SNAKE_CASE__,      3 )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if height < 0 or radius < 0:
												raise ValueError('''vol_spherical_cap() only accepts non-negative values''' )
						# Volume is 1/3 pi * height squared * (3 * radius - height)
						return 1 / 3 * pi * pow(SCREAMING_SNAKE_CASE__,      2 ) * (3 * radius - height)





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if radius_a < 0 or radius_a < 0 or centers_distance < 0:
												raise ValueError('''vol_spheres_intersect() only accepts non-negative values''' )
						if centers_distance == 0:
												return vol_sphere(min(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ ) )

						UpperCAmelCase_      :   Tuple      =	(
						    (radius_a - radius_a + centers_distance)
						    * (radius_a + radius_a - centers_distance)
						    / (2 * centers_distance)
						)
						UpperCAmelCase_      :   Any      =	(
						    (radius_a - radius_a + centers_distance)
						    * (radius_a + radius_a - centers_distance)
						    / (2 * centers_distance)
						)

						return vol_spherical_cap(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ ) + vol_spherical_cap(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:

						if radius_a <= 0 or radius_a <= 0 or centers_distance < 0:
												raise ValueError(
												    '''vol_spheres_union() only accepts non-negative values, non-zero radius''' )

						if centers_distance == 0:
												return vol_sphere(max(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ ) )

						return (
						    vol_sphere(SCREAMING_SNAKE_CASE__ )
						    + vol_sphere(SCREAMING_SNAKE_CASE__ )
						    - vol_spheres_intersect(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )
						)





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if width < 0 or height < 0 or length < 0:
												raise ValueError('''vol_cuboid() only accepts non-negative values''' )
						return float(width * height * length )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if height < 0 or area_of_base < 0:
												raise ValueError('''vol_cone() only accepts non-negative values''' )
						return area_of_base * height / 3.0





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if height < 0 or radius < 0:
												raise ValueError('''vol_right_circ_cone() only accepts non-negative values''' )
						return pi * pow(SCREAMING_SNAKE_CASE__,      2 ) * height / 3.0





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if height < 0 or area_of_base < 0:
												raise ValueError('''vol_prism() only accepts non-negative values''' )
						return float(area_of_base * height )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if height < 0 or area_of_base < 0:
												raise ValueError('''vol_pyramid() only accepts non-negative values''' )
						return area_of_base * height / 3.0





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if radius < 0:
												raise ValueError('''vol_sphere() only accepts non-negative values''' )
						# Volume is 4/3 * pi * radius cubed
						return 4 / 3 * pi * pow(SCREAMING_SNAKE_CASE__,      3 )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if radius < 0:
												raise ValueError('''vol_hemisphere() only accepts non-negative values''' )
						# Volume is radius cubed * pi * 2/3
						return pow(SCREAMING_SNAKE_CASE__,      3 ) * pi * 2 / 3





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if height < 0 or radius < 0:
												raise ValueError('''vol_circular_cylinder() only accepts non-negative values''' )
						# Volume is radius squared * height * pi
						return pow(SCREAMING_SNAKE_CASE__,      2 ) * height * pi





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						# Volume - (outer_radius squared - inner_radius squared) * pi * height
						if inner_radius < 0 or outer_radius < 0 or height < 0:
												raise ValueError(
												    '''vol_hollow_circular_cylinder() only accepts non-negative values''' )
						if outer_radius <= inner_radius:
												raise ValueError('''outer_radius must be greater than inner_radius''' )
						return pi * (pow(SCREAMING_SNAKE_CASE__,      2 ) - pow(SCREAMING_SNAKE_CASE__,      2 )) * height





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						# Volume is 1/3 * pi * height *
						#           (radius_1 squared + radius_2 squared + radius_1 * radius_2)
						if radius_a < 0 or radius_a < 0 or height < 0:
												raise ValueError('''vol_conical_frustum() only accepts non-negative values''' )
						return (
						    1
						    / 3
						    * pi
						    * height
						    * (pow(SCREAMING_SNAKE_CASE__,      2 ) + pow(SCREAMING_SNAKE_CASE__,      2 ) + radius_a * radius_a)
						)





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      float,      SCREAMING_SNAKE_CASE__   :      float )			->						float:
						if torus_radius < 0 or tube_radius < 0:
												raise ValueError('''vol_torus() only accepts non-negative values''' )
						return 2 * pow(SCREAMING_SNAKE_CASE__,      2 ) * torus_radius * pow(SCREAMING_SNAKE_CASE__,      2 )





def 							lowerCamelCase_   (	)			->						Optional[Any]:
						print('''Volumes:''' )
						print(F"""Cube: {vol_cube(2 ) = }""" )  # = 8
						print(F"""Cuboid: {vol_cuboid(2,      2,      2 ) = }""" )  # = 8
						print(F"""Cone: {vol_cone(2,      2 ) = }""" )  # ~= 1.33
						print(F"""Right Circular Cone: {vol_right_circ_cone(2,      2 ) = }""" )  # ~= 8.38
						print(F"""Prism: {vol_prism(2,      2 ) = }""" )  # = 4
						print(F"""Pyramid: {vol_pyramid(2,      2 ) = }""" )  # ~= 1.33
						print(F"""Sphere: {vol_sphere(2 ) = }""" )  # ~= 33.5
						print(F"""Hemisphere: {vol_hemisphere(2 ) = }""" )  # ~= 16.75
						print(F"""Circular Cylinder: {vol_circular_cylinder(2,      2 ) = }""" )  # ~= 25.1
						print(F"""Torus: {vol_torus(2,      2 ) = }""" )  # ~= 157.9
						print(F"""Conical Frustum: {vol_conical_frustum(2,      2,      4 ) = }""" )  # ~= 58.6
						print(F"""Spherical cap: {vol_spherical_cap(1,      2 ) = }""" )  # ~= 5.24
						print(F"""Spheres intersetion: {vol_spheres_intersect(2,      2,      1 ) = }""" )  # ~= 21.21
						print(F"""Spheres union: {vol_spheres_union(2,      2,      1 ) = }""" )  # ~= 45.81
						print(
						    F"""Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1,      2,      3 ) = }""" )  # ~= 28.3


if __name__ == "__main__":
					main()












'''simple docstring'''







import argparse
import json
import re
import string
import sys
from collections import Counter





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      Optional[Any] )			->						str:

						def remove_articles(SCREAMING_SNAKE_CASE__   :      Union[str, Any] ):
												return re.sub(R'''\b(a|an|the)\b''',      ''' ''',      SCREAMING_SNAKE_CASE__ )

						def white_space_fix(SCREAMING_SNAKE_CASE__   :      Dict ):
												return " ".join(text.split() )

						def remove_punc(SCREAMING_SNAKE_CASE__   :      Union[str, Any] ):
												UpperCAmelCase_      :   int      =	set(string.punctuation )
												return "".join(ch for ch in text if ch not in exclude )

						def lower(SCREAMING_SNAKE_CASE__   :      str ):
												return text.lower()

						return white_space_fix(remove_articles(remove_punc(lower(SCREAMING_SNAKE_CASE__ ) ) ) )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      Union[str, Any],      SCREAMING_SNAKE_CASE__   :      Union[str, Any] )			->						Tuple:
						UpperCAmelCase_      :   List[Any]      =	normalize_answer(SCREAMING_SNAKE_CASE__ ).split()
						UpperCAmelCase_      :   Optional[Any]      =	normalize_answer(SCREAMING_SNAKE_CASE__ ).split()
						UpperCAmelCase_      :   Any      =	Counter(SCREAMING_SNAKE_CASE__ ) & Counter(SCREAMING_SNAKE_CASE__ )
						UpperCAmelCase_      :   Tuple      =	sum(common.values() )
						if num_same == 0:
												return 0
						UpperCAmelCase_      :   Union[str, Any]      =	1.0 * num_same / len(SCREAMING_SNAKE_CASE__ )
						UpperCAmelCase_      :   Dict      =	1.0 * num_same / len(SCREAMING_SNAKE_CASE__ )
						UpperCAmelCase_      :   str      =	(2 * precision * recall) / (precision + recall)
						return fa





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      int,      SCREAMING_SNAKE_CASE__   :      int )			->						Any:
						return normalize_answer(SCREAMING_SNAKE_CASE__ ) == normalize_answer(SCREAMING_SNAKE_CASE__ )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      Union[str, Any],      SCREAMING_SNAKE_CASE__   :      Any,      SCREAMING_SNAKE_CASE__   :      Dict )			->						Optional[int]:
						UpperCAmelCase_      :   Dict      =	[]
						for ground_truth in ground_truths:
												UpperCAmelCase_      :   str      =	metric_fn(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )
												scores_for_ground_truths.append(SCREAMING_SNAKE_CASE__ )
						return max(SCREAMING_SNAKE_CASE__ )





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      List[str],      SCREAMING_SNAKE_CASE__   :      Optional[Any] )			->						Any:
						UpperCAmelCase_      :   str      =	0
						for article in dataset:
												for paragraph in article["paragraphs"]:
																		for qa in paragraph["qas"]:
																								total += 1
																								if qa["id"] not in predictions:
																														UpperCAmelCase_      :   Union[str, Any]      =	'''Unanswered question ''' + qa['''id'''] + ''' will receive score 0.'''
																														print(SCREAMING_SNAKE_CASE__,      file=sys.stderr )
																														continue
																								UpperCAmelCase_      :   Optional[Any]      =	[x['''text'''] for x in qa['''answers''']]
																								UpperCAmelCase_      :   int      =	predictions[qa['''id''']]
																								exact_match += metric_max_over_ground_truths(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )
																								fa += metric_max_over_ground_truths(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )

						UpperCAmelCase_      :   Any      =	1_00.0 * exact_match / total
						UpperCAmelCase_      :   Optional[int]      =	1_00.0 * fa / total

						return {"exact_match": exact_match, "f1": fa}


if __name__ == "__main__":
					snake_case_  :							Any            =	"1.1"
					snake_case_  :							Any            =	argparse.ArgumentParser(description="Evaluation for SQuAD " + expected_version)
					parser.add_argument("dataset_file", help="Dataset file")
					parser.add_argument("prediction_file", help="Prediction File")
					snake_case_  :							int            =	parser.parse_args()
					with open(args.dataset_file) as dataset_file:
										snake_case_  :							List[Any]            =	json.load(dataset_file)
										if dataset_json["version"] != expected_version:
															print(
															    "Evaluation expects v-" + expected_version + ", but got dataset with v-" + dataset_json["version"],
															    file=sys.stderr,
															)
										snake_case_  :							Tuple            =	dataset_json["data"]
					with open(args.prediction_file) as prediction_file:
										snake_case_  :							Tuple            =	json.load(prediction_file)
					print(json.dumps(evaluate(dataset, predictions)))





