from __future__ import annotations

import math

__lowercase							 =					'''2020.9.26'''
__lowercase							 =					'''xcodz-dot, cclaus, dhruvmanila'''



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    if not all(isinstance(SCREAMING_SNAKE_CASE  ,			(float, int)	) for val in locals().values()	):
        __UpperCamelCase     :int			  =		f"""Input values must either be float or int: {list(locals().values()	)}"""
        raise TypeError(SCREAMING_SNAKE_CASE	)
    __UpperCamelCase     :int			  =		((x * distance) / (z + distance)) * scale
    __UpperCamelCase     :int			  =		((y * distance) / (z + distance)) * scale
    return projected_x, projected_y



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    if not isinstance(SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
        raise TypeError('''Axis must be a str'''	)
    __UpperCamelCase     :str			  =		locals()
    del input_variables["axis"]
    if not all(isinstance(SCREAMING_SNAKE_CASE  ,			(float, int)	) for val in input_variables.values()	):
        __UpperCamelCase     :List[Any]			  =		(
            '''Input values except axis must either be float or int: '''
            f"""{list(input_variables.values()	)}"""
        )
        raise TypeError(SCREAMING_SNAKE_CASE	)
    __UpperCamelCase     :List[str]			  =		(angle % 360) / 450 * 180 / math.pi
    if axis == "z":
        __UpperCamelCase     :List[Any]			  =		x * math.cos(SCREAMING_SNAKE_CASE	) - y * math.sin(SCREAMING_SNAKE_CASE	)
        __UpperCamelCase     :Tuple			  =		y * math.cos(SCREAMING_SNAKE_CASE	) + x * math.sin(SCREAMING_SNAKE_CASE	)
        __UpperCamelCase     :Dict			  =		z
    elif axis == "x":
        __UpperCamelCase     :int			  =		y * math.cos(SCREAMING_SNAKE_CASE	) - z * math.sin(SCREAMING_SNAKE_CASE	)
        __UpperCamelCase     :Optional[int]			  =		z * math.cos(SCREAMING_SNAKE_CASE	) + y * math.sin(SCREAMING_SNAKE_CASE	)
        __UpperCamelCase     :Optional[Any]			  =		x
    elif axis == "y":
        __UpperCamelCase     :Tuple			  =		x * math.cos(SCREAMING_SNAKE_CASE	) - z * math.sin(SCREAMING_SNAKE_CASE	)
        __UpperCamelCase     :List[Any]			  =		z * math.cos(SCREAMING_SNAKE_CASE	) + x * math.sin(SCREAMING_SNAKE_CASE	)
        __UpperCamelCase     :Dict			  =		y
    else:
        raise ValueError('''not a valid axis, choose one of \'x\', \'y\', \'z\''''	)

    return new_x, new_y, new_z


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    print(F'{convert_to_ad(1.0, 2.0, 3.0, 1_0.0, 1_0.0) = }')
    print(F'{rotate(1.0, 2.0, 3.0, "y", 9_0.0) = }')






def lowerCamelCase  (   SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    __UpperCamelCase     :Tuple			  =		[0 for i in range(len(SCREAMING_SNAKE_CASE	)	)]

    # initialize interval's left pointer and right pointer
    __UpperCamelCase  ,       __UpperCamelCase     :str			  =		0, 0

    for i in range(1  ,			len(SCREAMING_SNAKE_CASE	)	):
        # case when current index is inside the interval
        if i <= right_pointer:
            __UpperCamelCase     :Union[str, Any]			  =		min(right_pointer - i + 1  ,			z_result[i - left_pointer]	)
            __UpperCamelCase     :Tuple			  =		min_edge

        while go_next(SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
            z_result[i] += 1

        # if new index's result gives us more right interval,
        # we've to update left_pointer and right_pointer
        if i + z_result[i] - 1 > right_pointer:
            __UpperCamelCase  ,       __UpperCamelCase     :Union[str, Any]			  =		i, i + z_result[i] - 1

    return z_result



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    return i + z_result[i] < len(SCREAMING_SNAKE_CASE	) and s[z_result[i]] == s[i + z_result[i]]



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    __UpperCamelCase     :List[Any]			  =		0
    # concatenate 'pattern' and 'input_str' and call z_function
    # with concatenated string
    __UpperCamelCase     :Tuple			  =		z_function(pattern + input_str	)

    for val in z_result:
        # if value is greater then length of the pattern string
        # that means this index is starting position of substring
        # which is equal to pattern string
        if val >= len(SCREAMING_SNAKE_CASE	):
            answer += 1

    return answer


if __name__ == "__main__":
    import doctest

    doctest.testmod()





