'''simple docstring'''







from math import pi, sqrt, tan




def        __lowercase						(      __SCREAMING_SNAKE_CASE		)				->					List[Any]:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Union[str, Any]:
     """simple docstring"""




     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						(      __SCREAMING_SNAKE_CASE		)				->					Optional[int]:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE		)				->					Union[str, Any]:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					List[str]:
     """simple docstring"""




     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						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Tuple:
     """simple docstring"""




     if radius_a < 0 or radius_a < 0 or height < 0:
          raise ValueError(
              """surface_area_conical_frustum() only accepts non-negative values"""		)
     __a       =   (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						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Tuple:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					List[Any]:
     """simple docstring"""




     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						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Optional[Any]:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE		)				->					str:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Tuple:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Optional[int]:
     """simple docstring"""




     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"""		)
     __a       =   (sidea + sidea + sidea) / 2
     __a       =   sqrt(
         semi_perimeter
         * (semi_perimeter - sidea)
         * (semi_perimeter - sidea)
         * (semi_perimeter - sidea)		)
     return area




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Union[str, Any]:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Tuple:
     """simple docstring"""




     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						(      __SCREAMING_SNAKE_CASE		)				->					int:
     """simple docstring"""




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




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					List[Any]:
     """simple docstring"""




     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						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Union[str, Any]:
     """simple docstring"""




     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						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE		)				->					Optional[Any]:
     """simple docstring"""




     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(10, 20) = }""")
 print(f"""Square: {area_square(10) = }""")
 print(f"""Triangle: {area_triangle(10, 10) = }""")
 print(f"""Triangle: {area_triangle_three_sides(5, 12, 13) = }""")
 print(f"""Parallelogram: {area_parallelogram(10, 20) = }""")
 print(f"""Rhombus: {area_rhombus(10, 20) = }""")
 print(f"""Trapezium: {area_trapezium(10, 20, 30) = }""")
 print(f"""Circle: {area_circle(20) = }""")
 print(f"""Ellipse: {area_ellipse(10, 20) = }""")
 print('\nSurface Areas of various geometric shapes: \n')
 print(f"""Cube: {surface_area_cube(20) = }""")
 print(f"""Cuboid: {surface_area_cuboid(10, 20, 30) = }""")
 print(f"""Sphere: {surface_area_sphere(20) = }""")
 print(f"""Hemisphere: {surface_area_hemisphere(20) = }""")
 print(f"""Cone: {surface_area_cone(10, 20) = }""")
 print(f"""Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }""")
 print(f"""Cylinder: {surface_area_cylinder(10, 20) = }""")
 print(f"""Torus: {surface_area_torus(20, 10) = }""")
 print(f"""Equilateral Triangle: {area_reg_polygon(3, 10) = }""")
 print(f"""Square: {area_reg_polygon(4, 10) = }""")
 print(f"""Reqular Pentagon: {area_reg_polygon(5, 10) = }""")










'''simple docstring'''







from __future__ import annotations




def        __lowercase						(      __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE				,  __SCREAMING_SNAKE_CASE				,  )				->					tuple[str, float]:
     """simple docstring"""




     if (stress, tangential_force, area).count(0		) != 1:
          raise ValueError("""You cannot supply more or less than 2 values"""		)
     elif stress < 0:
          raise ValueError("""Stress cannot be negative"""		)
     elif tangential_force < 0:
          raise ValueError("""Tangential Force cannot be negative"""		)
     elif area < 0:
          raise ValueError("""Area cannot be negative"""		)
     elif stress == 0:
          return (
              "stress",
              tangential_force / area,
          )
     elif tangential_force == 0:
          return (
              "tangential_force",
              stress * area,
          )
     else:
          return (
              "area",
              tangential_force / stress,
          )


if __name__ == "__main__":
 import doctest

 doctest.testmod()






