

"""simple docstring"""






from __future__ import annotations

from collections import deque
from enum import Enum
from math import atana, degrees
from sys import maxsize
class 	_lowerCAmelCase    (      __snake_case       ):
							__lowerCAmelCase					:    Tuple     =  1
							__lowerCAmelCase					:    Tuple     =  2
							__lowerCAmelCase					:    Any     =  3

							def __repr__( self       :    Any    )   ->    Any:

									"""simple docstring"""
									return f"""{self.__class__.__name__}.{self.name}"""




def 		A_	(   __UpperCamelCase     :				tuple[int, int]       ,	__UpperCamelCase     :				int       ,	__UpperCamelCase     :				int				):
		lowercase					,  lowercase										=							point
		return degrees(atana(y - miny       ,	x - minx				)				)
def 		A_	(   __UpperCamelCase     :				tuple[int, int]       ,	__UpperCamelCase     :				tuple[int, int]       ,	__UpperCamelCase     :				tuple[int, int]				):
		lowercase					,  lowercase										=							starting
		lowercase					,  lowercase										=							via
		lowercase					,  lowercase										=							target
		lowercase										=							degrees(atana(ya - ya       ,	xa - xa				)				)
		via_angle %= 3_60
		lowercase										=							degrees(atana(ya - ya       ,	xa - xa				)				)
		target_angle %= 3_60
		# t-
		#  \ \
		#   \ v
		#    \|
		#     s
		# via_angle is always lower than target_angle, if direction is left.
		# If they are same, it means they are on a same line of convex hull.
		if target_angle > via_angle:
				return Direction.left
		elif target_angle == via_angle:
				return Direction.straight
		else:
				return Direction.right



def 		A_	(   __UpperCamelCase     :				list[tuple[int, int]]				):

		if len(__UpperCamelCase				) <= 2:
				# There is no convex hull
				raise ValueError('''graham_scan: argument must contain more than 3 points.'''				)
		if len(__UpperCamelCase				) == 3:
				return points
		# find the lowest and the most left point
		lowercase										=							0
		lowercase					,  lowercase										=							maxsize, maxsize
		for i, point in enumerate(__UpperCamelCase				):
				lowercase										=							point[0]
				lowercase										=							point[1]
				if y < miny:
						lowercase										=							y
						lowercase										=							x
						lowercase										=							i
				if y == miny and x < minx:
						lowercase										=							x
						lowercase										=							i

    # remove the lowest and the most left point from points for preparing for sort
		points.pop(__UpperCamelCase				)

		lowercase										=							sorted(__UpperCamelCase       ,	key=lambda __UpperCamelCase				: angle_comparer(__UpperCamelCase       ,	__UpperCamelCase       ,	__UpperCamelCase				)				)
		# This insert actually costs complexity,
		# and you should instead add (minx, miny) into stack later.
		# I'm using insert just for easy understanding.
		sorted_points.insert(0       ,	(minx, miny)				)

		lowercase										=							deque()
		stack.append(sorted_points[0]				)
		stack.append(sorted_points[1]				)
		stack.append(sorted_points[2]				)
		# In any ways, the first 3 points line are towards left.
		# Because we sort them the angle from minx, miny.
		lowercase										=							Direction.left

		for i in range(3       ,	len(__UpperCamelCase				)				):
				while True:
						lowercase										=							stack[-2]
						lowercase										=							stack[-1]
						lowercase										=							sorted_points[i]
						lowercase										=							check_direction(__UpperCamelCase       ,	__UpperCamelCase       ,	__UpperCamelCase				)

						if next_direction == Direction.left:
								lowercase										=							Direction.left
								break
						if next_direction == Direction.straight:
								if current_direction == Direction.left:
										# We keep current_direction as left.
										# Because if the straight line keeps as straight,
										# we want to know if this straight line is towards left.
										break
								elif current_direction == Direction.right:
										# If the straight line is towards right,
										# every previous points on those straigh line is not convex hull.
										stack.pop()
						if next_direction == Direction.right:
								stack.pop()
				stack.append(sorted_points[i]				)
		return list(__UpperCamelCase				)


"""simple docstring"""






from ..utils import DummyObject, requires_backends
class 	_lowerCAmelCase    (      metaclass=__snake_case       ):
							__lowerCAmelCase					:    Optional[Any]     =  ['''tensorflow_text''']

							def __init__( self       :    Optional[int] ,		*a       :    int ,		**a       :    str    )   ->    str:

									"""simple docstring"""
									requires_backends(self ,		['''tensorflow_text''']    )