




from __future__ import annotations

import math
from collections.abc import Callable





def        __UpperCAmelCase						(							lowerCamelCase_ :     Callable[[int | float], int | float]  ,							lowerCamelCase_ :     int | float  ,							lowerCamelCase_ :     int | float  ,							lowerCamelCase_ :     int = 1_00  ,							)       ->  float:







			"""simple docstring"""





			SCREAMING_SNAKE_CASE_   : List[Any]					  =      x_start
			SCREAMING_SNAKE_CASE_   : Dict					  =      fnc(lowerCamelCase_  )
			SCREAMING_SNAKE_CASE_   : Optional[int]					  =      0.0

			for _ in range(lowerCamelCase_  ):
						# Approximates curve as a sequence of linear lines and sums their length
						SCREAMING_SNAKE_CASE_   : List[Any]					  =      (x_end - x_start) / steps + xa
						SCREAMING_SNAKE_CASE_   : Tuple					  =      fnc(lowerCamelCase_  )
						length += math.hypot(xa - xa  ,							fxa - fxa  )

						# Increment step
						SCREAMING_SNAKE_CASE_   : List[Any]					  =      xa
						SCREAMING_SNAKE_CASE_   : int					  =      fxa

			return length


if __name__ == "__main__":





						def        __UpperCAmelCase						(							lowerCamelCase_ :     int  )       ->  Tuple:







									"""simple docstring"""





									return math.sin(10 * x  )

						print('''f(x) = sin(10 * x)''')
						print('''The length of the curve from x = -10 to x = 10 is:''')
						UpperCamelCase__ :   str						=							10
						while i <= 10_00_00:
												print(F"""With {i} steps: {line_length(f, -10, 10, i)}""")
												i *= 10





"""simple docstring"""






from manim import *





class 				a__					(						A__       ):



     def  lowerCamelCase_						(							self :List[Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Tuple   	=Rectangle(height=0.5      ,  width=0.5   )
      UpperCamelCase_     :					Any   	=Rectangle(height=0.46      ,  width=0.46   ).set_stroke(width=0   )

      UpperCamelCase_     :					Any   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					Optional[int]   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					List[str]   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					Optional[int]   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					Union[str, Any]   	=VGroup(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					str   	=Text('CPU'      ,  font_size=24   )
      UpperCamelCase_     :					str   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0.5      ,  aligned_edge=_lowerCamelCase   )
      cpu.move_to([-2.5, -0.5, 0]   )
      self.add(_lowerCamelCase   )

      UpperCamelCase_     :					int   	=[mem.copy() for i in range(4   )]
      UpperCamelCase_     :					Any   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					List[Any]   	=Text('GPU'      ,  font_size=24   )
      UpperCamelCase_     :					Any   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0.5      ,  aligned_edge=_lowerCamelCase   )
      gpu.move_to([-1, -1, 0]   )
      self.add(_lowerCamelCase   )

      UpperCamelCase_     :					List[str]   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					str   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )

      UpperCamelCase_     :					Optional[int]   	=Text('Model'      ,  font_size=24   )
      UpperCamelCase_     :					List[Any]   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0.5      ,  aligned_edge=_lowerCamelCase   )
      model.move_to([3, -1.0, 0]   )
      self.add(_lowerCamelCase   )

      UpperCamelCase_     :					int   	=[]
      for i, rect in enumerate(_lowerCamelCase   ):
       rect.set_stroke(_lowerCamelCase   )
       # target = fill.copy().set_fill(YELLOW, opacity=0.7)
       # target.move_to(rect)
       # self.add(target)

       UpperCamelCase_     :					str   	=Rectangle(height=0.46 / 4      ,  width=0.46 / 3   ).set_stroke(width=0.0   ).set_fill(_lowerCamelCase      ,  opacity=0.7   )

       if i == 0:
        cpu_target.next_to(cpu_left_col_base[0].get_corner(DOWN + LEFT   )      ,  buff=0.02      ,  direction=_lowerCamelCase   )
        cpu_target.set_x(cpu_target.get_x() + 0.1   )
       elif i == 3:
        cpu_target.next_to(cpu_targs[0]      ,  direction=_lowerCamelCase      ,  buff=0.0   )
       else:
        cpu_target.next_to(cpu_targs[i - 1]      ,  direction=_lowerCamelCase      ,  buff=0.0   )
       self.add(_lowerCamelCase   )
       cpu_targs.append(_lowerCamelCase   )

      UpperCamelCase_     :					List[str]   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					Any   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )

      UpperCamelCase_     :					Optional[int]   	=Text('Loaded Checkpoint'      ,  font_size=24   )
      UpperCamelCase_     :					List[Any]   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  aligned_edge=_lowerCamelCase      ,  buff=0.4   )
      checkpoint.move_to([3, 0.5, 0]   )

      UpperCamelCase_     :					int   	=Square(side_length=2.2   )
      key.move_to([-5, 2, 0]   )

      UpperCamelCase_     :					Optional[Any]   	=MarkupText(
          f'''<b>Key:</b>\n\n<span fgcolor=\'{YELLOW}\'>●</span> Empty Model'''      ,  font_size=18      ,  )

      key_text.move_to([-5, 2.4, 0]   )

      self.add(_lowerCamelCase      ,  _lowerCamelCase   )

      UpperCamelCase_     :					Any   	=MarkupText(
          f'''<span fgcolor=\'{BLUE}\'>●</span> Checkpoint'''      ,  font_size=18      ,  )

      blue_text.next_to(_lowerCamelCase      ,  DOWN * 2.4      ,  aligned_edge=key_text.get_left()   )

      UpperCamelCase_     :					Dict   	=MarkupText(
          f'''Next, a <i><span fgcolor="{BLUE}">second</span></i> model is loaded into memory,\nwith the weights of a <span fgcolor="{BLUE}">single shard</span>.'''      ,  font_size=24      ,  )
      step_a.move_to([2, 2, 0]   )
      self.play(Write(_lowerCamelCase   )      ,  Write(_lowerCamelCase   )   )

      self.play(Write(_lowerCamelCase      ,  run_time=1   )      ,  Create(_lowerCamelCase      ,  run_time=1   )   )

      UpperCamelCase_     :					Union[str, Any]   	=[]
      UpperCamelCase_     :					List[Any]   	=[]
      for i, rect in enumerate(_lowerCamelCase   ):
       UpperCamelCase_     :					str   	=fill.copy().set_fill(_lowerCamelCase      ,  opacity=0.7   )
       target.move_to(_lowerCamelCase   )
       first_animations.append(GrowFromCenter(_lowerCamelCase      ,  run_time=1   )   )

       UpperCamelCase_     :					Any   	=target.copy()
       cpu_target.generate_target()
       if i < 5:
        cpu_target.target.move_to(cpu_left_col_base[i + 1]   )
       else:
        cpu_target.target.move_to(cpu_right_col_base[i - 5]   )
       second_animations.append(MoveToTarget(_lowerCamelCase      ,  run_time=1.5   )   )

      self.play(*_lowerCamelCase   )
      self.play(*_lowerCamelCase   )
      self.wait()
