




"""simple docstring"""



from math import factorial




class      UpperCAmelCase_  :




    def __init__(   self						:	Dict     ,			snake_case_						:	int     ,			snake_case_						:	List[Any]				)				->							Union[str, Any]:




     '''simple docstring'''

     A__	=    real
     if isinstance(snake_case_     ,			snake_case_				):
      A__	=    [1] * rank
     else:
      A__	=    rank




    def __repr__(   self						:	List[Any]				)				->							int:




     '''simple docstring'''

     return (
         F"""{self.real}+"""
         F"""{"+".join(str(snake_case_				)+"E"+str(n+1				)for n,dual in enumerate(self.duals				)				)}"""
     )




    def 							__magic_name__							(   self						:	List[str]				)				->							Any:




     '''simple docstring'''

     A__	=    self.duals.copy()
     while cur[-1] == 0:
      cur.pop(-1				)
     return Dual(self.real     ,			snake_case_				)




    def __add__(   self						:	Tuple     ,			snake_case_						:	List[str]				)				->							List[str]:




     '''simple docstring'''

     if not isinstance(snake_case_     ,			snake_case_				):
      return Dual(self.real + other     ,			self.duals				)
     A__	=    self.duals.copy()
     A__	=    other.duals.copy()
     if len(snake_case_				) > len(snake_case_				):
      o_dual.extend([1] * (len(snake_case_				) - len(snake_case_				))				)
     elif len(snake_case_				) < len(snake_case_				):
      s_dual.extend([1] * (len(snake_case_				) - len(snake_case_				))				)
     A__	=    []
     for i in range(len(snake_case_				)				):
      new_duals.append(s_dual[i] + o_dual[i]				)
     return Dual(self.real + other.real     ,			snake_case_				)

    lowercase__						 =				__add__




    def __sub__(   self						:	List[Any]     ,			snake_case_						:	Tuple				)				->							Optional[int]:




     '''simple docstring'''

     return self + other * -1




    def __mul__(   self						:	Optional[int]     ,			snake_case_						:	List[Any]				)				->							str:




     '''simple docstring'''

     if not isinstance(snake_case_     ,			snake_case_				):
      A__	=    []
      for i in self.duals:
       new_duals.append(i * other				)
      return Dual(self.real * other     ,			snake_case_				)
     A__	=    [0] * (len(self.duals				) + len(other.duals				) + 1)
     for i, item in enumerate(self.duals				):
      for j, jtem in enumerate(other.duals				):
       new_duals[i + j + 1] += item * jtem
     for k in range(len(self.duals				)				):
      new_duals[k] += self.duals[k] * other.real
     for index in range(len(other.duals				)				):
      new_duals[index] += other.duals[index] * self.real
     return Dual(self.real * other.real     ,			snake_case_				)

    lowercase__						 =				__mul__




    def __truediv__(   self						:	Union[str, Any]     ,			snake_case_						:	Optional[Any]				)				->							List[Any]:




     '''simple docstring'''

     if not isinstance(snake_case_     ,			snake_case_				):
      A__	=    []
      for i in self.duals:
       new_duals.append(i / other				)
      return Dual(self.real / other     ,			snake_case_				)
     raise ValueError




    def __floordiv__(   self						:	Optional[int]     ,			snake_case_						:	List[Any]				)				->							Optional[int]:




     '''simple docstring'''

     if not isinstance(snake_case_     ,			snake_case_				):
      A__	=    []
      for i in self.duals:
       new_duals.append(i // other				)
      return Dual(self.real // other     ,			snake_case_				)
     raise ValueError




    def __pow__(   self						:	Any     ,			snake_case_						:	List[Any]				)				->							Any:




     '''simple docstring'''

     if n < 0 or isinstance(snake_case_     ,			snake_case_				):
      raise ValueError("power must be a positive integer"				)
     if n == 0:
      return 1
     if n == 1:
      return self
     A__	=    self
     for _ in range(n - 1				):
      x *= self
     return x







def   _SCREAMING_SNAKE_CASE       (							lowercase_      ,			lowercase_      ,			lowercase_						)						->		int:
 if not callable(lowercase_						):
  raise ValueError("differentiate() requires a function as input for func"						)
 if not isinstance(lowercase_      ,			(float, int)						):
  raise ValueError("differentiate() requires a float as input for position"						)
 if not isinstance(lowercase_      ,			lowercase_						):
  raise ValueError("differentiate() requires an int as input for order"						)
 A__	=    Dual(lowercase_      ,			1						)
 A__	=    func(lowercase_						)
 if order == 0:
  return result.real
 return result.duals[order - 1] * factorial(lowercase_						)


if __name__ == "__main__":
      import doctest

      doctest.testmod()







      def   _SCREAMING_SNAKE_CASE       (							lowercase_						)						->		Optional[int]:
       return y**2 * y**4






      print(differentiate(f, 9, 2))







"""simple docstring"""



import unittest

from transformers.testing_utils import CaptureStdout
from transformers.tools.python_interpreter import evaluate







def   _SCREAMING_SNAKE_CASE       (							lowercase_						)						->		int:
 return x + 2






class      UpperCAmelCase_  (						unittest.TestCase							):




    def 							__magic_name__							(   self						:	Any				)				->							Any:




     '''simple docstring'''

     A__	=    "x = 3"
     A__	=    {}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     assert result == 3
     self.assertDictEqual(snake_case_     ,			{"x": 3}				)

     A__	=    "x = y"
     A__	=    {"y": 5}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     # evaluate returns the value of the last assignment.
     assert result == 5
     self.assertDictEqual(snake_case_     ,			{"x": 5, "y": 5}				)




    def 							__magic_name__							(   self						:	Optional[Any]				)				->							Any:




     '''simple docstring'''

     A__	=    "y = add_two(x)"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{"add_two": add_two}     ,			state=snake_case_				)
     assert result == 5
     self.assertDictEqual(snake_case_     ,			{"x": 3, "y": 5}				)

     # Won't work without the tool
     with CaptureStdout() as out:
      A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     assert result is None
     assert "tried to execute add_two" in out.out




    def 							__magic_name__							(   self						:	Dict				)				->							List[str]:




     '''simple docstring'''

     A__	=    "x = 3"
     A__	=    {}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     assert result == 3
     self.assertDictEqual(snake_case_     ,			{"x": 3}				)




    def 							__magic_name__							(   self						:	Dict				)				->							Optional[Any]:




     '''simple docstring'''

     A__	=    "test_dict = {'x': x, 'y': add_two(x)}"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{"add_two": add_two}     ,			state=snake_case_				)
     self.assertDictEqual(snake_case_     ,			{"x": 3, "y": 5}				)
     self.assertDictEqual(snake_case_     ,			{"x": 3, "test_dict": {"x": 3, "y": 5}}				)




    def 							__magic_name__							(   self						:	int				)				->							str:




     '''simple docstring'''

     A__	=    "x = 3\ny = 5"
     A__	=    {}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     # evaluate returns the value of the last assignment.
     assert result == 5
     self.assertDictEqual(snake_case_     ,			{"x": 3, "y": 5}				)




    def 							__magic_name__							(   self						:	Any				)				->							List[Any]:




     '''simple docstring'''

     A__	=    "text = f'This is x: {x}.'"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     # evaluate returns the value of the last assignment.
     assert result == "This is x: 3."
     self.assertDictEqual(snake_case_     ,			{"x": 3, "text": "This is x: 3."}				)




    def 							__magic_name__							(   self						:	str				)				->							Optional[int]:




     '''simple docstring'''

     A__	=    "if x <= 3:\n    y = 2\nelse:\n    y = 5"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     # evaluate returns the value of the last assignment.
     assert result == 2
     self.assertDictEqual(snake_case_     ,			{"x": 3, "y": 2}				)

     A__	=    {"x": 8}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     # evaluate returns the value of the last assignment.
     assert result == 5
     self.assertDictEqual(snake_case_     ,			{"x": 8, "y": 5}				)




    def 							__magic_name__							(   self						:	List[str]				)				->							Tuple:




     '''simple docstring'''

     A__	=    "test_list = [x, add_two(x)]"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{"add_two": add_two}     ,			state=snake_case_				)
     self.assertListEqual(snake_case_     ,			[3, 5]				)
     self.assertDictEqual(snake_case_     ,			{"x": 3, "test_list": [3, 5]}				)




    def 							__magic_name__							(   self						:	Tuple				)				->							int:




     '''simple docstring'''

     A__	=    "y = x"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{}     ,			state=snake_case_				)
     assert result == 3
     self.assertDictEqual(snake_case_     ,			{"x": 3, "y": 3}				)




    def 							__magic_name__							(   self						:	str				)				->							Dict:




     '''simple docstring'''

     A__	=    "test_list = [x, add_two(x)]\ntest_list[1]"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{"add_two": add_two}     ,			state=snake_case_				)
     assert result == 5
     self.assertDictEqual(snake_case_     ,			{"x": 3, "test_list": [3, 5]}				)

     A__	=    "test_dict = {'x': x, 'y': add_two(x)}\ntest_dict['y']"
     A__	=    {"x": 3}
     A__	=    evaluate(snake_case_     ,			{"add_two": add_two}     ,			state=snake_case_				)
     assert result == 5
     self.assertDictEqual(snake_case_     ,			{"x": 3, "test_dict": {"x": 3, "y": 5}}				)




    def 							__magic_name__							(   self						:	Optional[int]				)				->							Tuple:




     '''simple docstring'''

     A__	=    "x = 0\nfor i in range(3):\n    x = i"
     A__	=    {}
     A__	=    evaluate(snake_case_     ,			{"range": range}     ,			state=snake_case_				)
     assert result == 2
     self.assertDictEqual(snake_case_     ,			{"x": 2, "i": 2}				)





