
"""simple docstring"""




from typing import List

import numpy as np

def lowercase_						(     _snake_case		):
       SCREAMING_SNAKE_CASE__		: List[Any]     =     {key: len(_snake_case		) for key, value in gen_kwargs.items() if isinstance(_snake_case     ,_snake_case		)}
       if len(set(lists_lengths.values()		)		) > 1:
              raise RuntimeError(
                  (
                      """Sharding is ambiguous for this dataset: """
                      + """we found several data sources lists of different lengths, and we don't know over which list we should parallelize:\n"""
                      + """\n""".join(f'''\t- key {key} has length {length}''' for key, length in lists_lengths.items()		)
                      + """\nTo fix this, check the 'gen_kwargs' and make sure to use lists only for data sources, """
                      + """and use tuples otherwise. In the end there should only be one single list, or several lists with the same length."""
                  )		)
       SCREAMING_SNAKE_CASE__		: str     =     max(lists_lengths.values()     ,default=0		)
       return max(1     ,_snake_case		)

def lowercase_						(     _snake_case     ,_snake_case		):
       SCREAMING_SNAKE_CASE__		: Tuple     =     []
       for group_idx in range(_snake_case		):
              SCREAMING_SNAKE_CASE__		: str     =     num_shards // max_num_jobs + (group_idx < (num_shards % max_num_jobs))
              if num_shards_to_add == 0:
                     break
              SCREAMING_SNAKE_CASE__		: Optional[int]     =     shards_indices_per_group[-1].stop if shards_indices_per_group else 0
              SCREAMING_SNAKE_CASE__		: Dict     =     range(_snake_case     ,start + num_shards_to_add		)
              shards_indices_per_group.append(_snake_case		)
       return shards_indices_per_group

def lowercase_						(     _snake_case     ,_snake_case		):
       SCREAMING_SNAKE_CASE__		: Any     =     _number_of_shards_in_gen_kwargs(_snake_case		)
       if num_shards == 1:
              return [dict(_snake_case		)]
       else:
              SCREAMING_SNAKE_CASE__		: List[str]     =     _distribute_shards(num_shards=_snake_case     ,max_num_jobs=_snake_case		)
              return [
                  {
                      key: [value[shard_idx] for shard_idx in shard_indices_per_group[group_idx]]
                      if isinstance(_snake_case     ,_snake_case		)
                      else value
                      for key, value in gen_kwargs.items()
                  }
                  for group_idx in range(len(_snake_case		)		)
              ]

def lowercase_						(     _snake_case		):
       return {
           key: [value for gen_kwargs in gen_kwargs_list for value in gen_kwargs[key]]
           if isinstance(gen_kwargs_list[0][key]     ,_snake_case		)
           else gen_kwargs_list[0][key]
           for key in gen_kwargs_list[0]
       }

def lowercase_						(     _snake_case     ,_snake_case		):
       SCREAMING_SNAKE_CASE__		: Optional[int]     =     {len(_snake_case		) for value in gen_kwargs.values() if isinstance(_snake_case     ,_snake_case		)}
       SCREAMING_SNAKE_CASE__		: List[Any]     =     {}
       for size in list_sizes:
              SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     list(range(_snake_case		)		)
              rng.shuffle(indices_per_size[size]		)
       # Now let's copy the gen_kwargs and shuffle the lists based on their sizes
       SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     dict(_snake_case		)
       for key, value in shuffled_kwargs.items():
              if isinstance(_snake_case     ,_snake_case		):
                     SCREAMING_SNAKE_CASE__		: Any     =     [value[i] for i in indices_per_size[len(_snake_case		)]]
       return shuffled_kwargs






"""simple docstring"""




from math import pi, sqrt, tan

def lowercase_						(     _snake_case		):
							if side_length < 0:
														raise ValueError("""surface_area_cube() only accepts non-negative values"""		)
							return 6 * side_length**2

def lowercase_						(     _snake_case     ,_snake_case     ,_snake_case		):
							if length < 0 or breadth < 0 or height < 0:
														raise ValueError("""surface_area_cuboid() only accepts non-negative values"""		)
							return 2 * ((length * breadth) + (breadth * height) + (length * height))

def lowercase_						(     _snake_case		):
							if radius < 0:
														raise ValueError("""surface_area_sphere() only accepts non-negative values"""		)
							return 4 * pi * radius**2

def lowercase_						(     _snake_case		):
							if radius < 0:
														raise ValueError("""surface_area_hemisphere() only accepts non-negative values"""		)
							return 3 * pi * radius**2

def lowercase_						(     _snake_case     ,_snake_case		):
							if radius < 0 or height < 0:
														raise ValueError("""surface_area_cone() only accepts non-negative values"""		)
							return pi * radius * (radius + (height**2 + radius**2) ** 0.5)

def lowercase_						(     _snake_case     ,_snake_case     ,_snake_case		):
							if radius_a < 0 or radius_a < 0 or height < 0:
														raise ValueError(
														    """surface_area_conical_frustum() only accepts non-negative values"""		)
							SCREAMING_SNAKE_CASE__		: int     =     (height**2 + (radius_a - radius_a) ** 2) ** 0.5
							return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)

def lowercase_						(     _snake_case     ,_snake_case		):
							if radius < 0 or height < 0:
														raise ValueError("""surface_area_cylinder() only accepts non-negative values"""		)
							return 2 * pi * radius * (height + radius)

def lowercase_						(     _snake_case     ,_snake_case		):
							if torus_radius < 0 or tube_radius < 0:
														raise ValueError("""surface_area_torus() only accepts non-negative values"""		)
							if torus_radius < tube_radius:
														raise ValueError(
														    """surface_area_torus() does not support spindle or self intersecting tori"""		)
							return 4 * pow(_snake_case     ,2		) * torus_radius * tube_radius

def lowercase_						(     _snake_case     ,_snake_case		):
							if length < 0 or width < 0:
														raise ValueError("""area_rectangle() only accepts non-negative values"""		)
							return length * width

def lowercase_						(     _snake_case		):
							if side_length < 0:
														raise ValueError("""area_square() only accepts non-negative values"""		)
							return side_length**2

def lowercase_						(     _snake_case     ,_snake_case		):
							if base < 0 or height < 0:
														raise ValueError("""area_triangle() only accepts non-negative values"""		)
							return (base * height) / 2

def lowercase_						(     _snake_case     ,_snake_case     ,_snake_case		):
							if sidea < 0 or sidea < 0 or sidea < 0:
														raise ValueError("""area_triangle_three_sides() only accepts non-negative values"""		)
							elif sidea + sidea < sidea or sidea + sidea < sidea or sidea + sidea < sidea:
														raise ValueError("""Given three sides do not form a triangle"""		)
							SCREAMING_SNAKE_CASE__		: List[str]     =     (sidea + sidea + sidea) / 2
							SCREAMING_SNAKE_CASE__		: List[Any]     =     sqrt(
							    semi_perimeter
							    * (semi_perimeter - sidea)
							    * (semi_perimeter - sidea)
							    * (semi_perimeter - sidea)		)
							return area

def lowercase_						(     _snake_case     ,_snake_case		):
							if base < 0 or height < 0:
														raise ValueError("""area_parallelogram() only accepts non-negative values"""		)
							return base * height

def lowercase_						(     _snake_case     ,_snake_case     ,_snake_case		):
							if basea < 0 or basea < 0 or height < 0:
														raise ValueError("""area_trapezium() only accepts non-negative values"""		)
							return 1 / 2 * (basea + basea) * height

def lowercase_						(     _snake_case		):
							if radius < 0:
														raise ValueError("""area_circle() only accepts non-negative values"""		)
							return pi * radius**2

def lowercase_						(     _snake_case     ,_snake_case		):
							if radius_x < 0 or radius_y < 0:
														raise ValueError("""area_ellipse() only accepts non-negative values"""		)
							return pi * radius_x * radius_y

def lowercase_						(     _snake_case     ,_snake_case		):
							if diagonal_a < 0 or diagonal_a < 0:
														raise ValueError("""area_rhombus() only accepts non-negative values"""		)
							return 1 / 2 * diagonal_a * diagonal_a

def lowercase_						(     _snake_case     ,_snake_case		):
							if not isinstance(_snake_case     ,_snake_case		) or sides < 3:
														raise ValueError(
														    """area_reg_polygon() only accepts integers greater than or \
equal to three as number of sides"""		)
							elif length < 0:
														raise ValueError(
														    """area_reg_polygon() only accepts non-negative values as \
length of a side"""		)
							return (sides * length**2) / (4 * tan(pi / sides		))
							return (sides * length**2) / (4 * tan(pi / sides		))


if __name__ == "__main__":
					import doctest

					doctest.testmod(verbose=True)  # verbose so we can see methods missing tests

					print('[DEMO] Areas of various geometric shapes: \n')
					print(f"""Rectangle: {area_rectangle(1_0, 2_0) = }""")
					print(f"""Square: {area_square(1_0) = }""")
					print(f"""Triangle: {area_triangle(1_0, 1_0) = }""")
					print(f"""Triangle: {area_triangle_three_sides(5, 1_2, 1_3) = }""")
					print(f"""Parallelogram: {area_parallelogram(1_0, 2_0) = }""")
					print(f"""Rhombus: {area_rhombus(1_0, 2_0) = }""")
					print(f"""Trapezium: {area_trapezium(1_0, 2_0, 3_0) = }""")
					print(f"""Circle: {area_circle(2_0) = }""")
					print(f"""Ellipse: {area_ellipse(1_0, 2_0) = }""")
					print('\nSurface Areas of various geometric shapes: \n')
					print(f"""Cube: {surface_area_cube(2_0) = }""")
					print(f"""Cuboid: {surface_area_cuboid(1_0, 2_0, 3_0) = }""")
					print(f"""Sphere: {surface_area_sphere(2_0) = }""")
					print(f"""Hemisphere: {surface_area_hemisphere(2_0) = }""")
					print(f"""Cone: {surface_area_cone(1_0, 2_0) = }""")
					print(f"""Conical Frustum: {surface_area_conical_frustum(1_0, 2_0, 3_0) = }""")
					print(f"""Cylinder: {surface_area_cylinder(1_0, 2_0) = }""")
					print(f"""Torus: {surface_area_torus(2_0, 1_0) = }""")
					print(f"""Equilateral Triangle: {area_reg_polygon(3, 1_0) = }""")
					print(f"""Square: {area_reg_polygon(4, 1_0) = }""")
					print(f"""Reqular Pentagon: {area_reg_polygon(5, 1_0) = }""")




