
"""simple docstring"""


from __future__ import annotations

import math
from collections.abc import Callable



def 	lowerCamelCase__			(							UpperCAmelCase_		,      UpperCAmelCase_		,      UpperCAmelCase_		,      UpperCAmelCase_ = 1_00		,      )->							float:







       """simple docstring"""
       UpperCamelCase					 =		x_start
       UpperCamelCase					 =		fnc(UpperCAmelCase_				)
       UpperCamelCase					 =		0.0

       for _ in range(UpperCAmelCase_				):
              # Approximates curve as a sequence of linear lines and sums their length
              UpperCamelCase					 =		(x_end - x_start) / steps + xa
              UpperCamelCase					 =		fnc(UpperCAmelCase_				)
              length += math.hypot(xa - xa		,      fxa - fxa				)

              # Increment step
              UpperCamelCase					 =		xa
              UpperCamelCase					 =		fxa

       return length


if __name__ == "__main__":



      def 	lowerCamelCase__			(							UpperCAmelCase_				)->							Optional[int]:







             """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:""")
      SCREAMING_SNAKE_CASE      =     10
      while i <= 100_000:
            print(F'''With {i} steps: {line_length(f, -10, 10, i)}''')
            i *= 10







"""simple docstring"""


SCREAMING_SNAKE_CASE      =     {
    """meter""": """m""",
    """kilometer""": """km""",
    """megametre""": """Mm""",
    """gigametre""": """Gm""",
    """terametre""": """Tm""",
    """petametre""": """Pm""",
    """exametre""": """Em""",
    """zettametre""": """Zm""",
    """yottametre""": """Ym""",
}
# Exponent of the factor(meter)
SCREAMING_SNAKE_CASE      =     {
    """m""": 0,
    """km""": 3,
    """Mm""": 6,
    """Gm""": 9,
    """Tm""": 12,
    """Pm""": 15,
    """Em""": 18,
    """Zm""": 21,
    """Ym""": 24,
}



def 	lowerCamelCase__			(							UpperCAmelCase_		,      UpperCAmelCase_		,      UpperCAmelCase_				)->							float:







       """simple docstring"""
       UpperCamelCase					 =		from_type.lower().strip("s"				)
       UpperCamelCase					 =		to_type.lower().strip("s"				)

       UpperCamelCase					 =		UNIT_SYMBOL.get(UpperCAmelCase_		,      UpperCAmelCase_				)
       UpperCamelCase					 =		UNIT_SYMBOL.get(UpperCAmelCase_		,      UpperCAmelCase_				)

       if from_sanitized not in METRIC_CONVERSION:
              UpperCamelCase					 =		(
                  F"Invalid 'from_type' value: {from_type!r}.\n"
                  F"Conversion abbreviations are: {', '.join(UpperCAmelCase_				)}"
              )
              raise ValueError(UpperCAmelCase_				)
       if to_sanitized not in METRIC_CONVERSION:
              UpperCamelCase					 =		(
                  F"Invalid 'to_type' value: {to_type!r}.\n"
                  F"Conversion abbreviations are: {', '.join(UpperCAmelCase_				)}"
              )
              raise ValueError(UpperCAmelCase_				)
       UpperCamelCase					 =		METRIC_CONVERSION[from_sanitized]
       UpperCamelCase					 =		METRIC_CONVERSION[to_sanitized]
       UpperCamelCase					 =		1

       if from_exponent > to_exponent:
              UpperCamelCase					 =		from_exponent - to_exponent
       else:
              UpperCamelCase					 =		-(to_exponent - from_exponent)

       return value * pow(10		,      UpperCAmelCase_				)


if __name__ == "__main__":
      from doctest import testmod

      testmod()





