






import warnings
from collections.abc import Callable
from typing import Any

import numpy
from matplotlib import pyplot

__snake_case							 =  0.2_5 + 0.0j
__snake_case							 =  -0.4 + 0.6j
__snake_case							 =  -0.1 + 0.651j
__snake_case							 =  -2.0
__snake_case							 =  56
__snake_case							 =  2.0
__snake_case							 =  6_66


def   _A       (    SCREAMING_SNAKE_CASE__  :     complex					,  SCREAMING_SNAKE_CASE__  :     numpy.ndarray	):
    return numpy.exp(SCREAMING_SNAKE_CASE__	) + c_parameter


def   _A       (    SCREAMING_SNAKE_CASE__  :     complex					,  SCREAMING_SNAKE_CASE__  :     numpy.ndarray	):
    return z_values * z_values + c_parameter


def   _A       (    SCREAMING_SNAKE_CASE__  :     float					,  SCREAMING_SNAKE_CASE__  :     int	):
    UpperCamelCase	:List[Any]     							=       numpy.linspace(-window_size					,  SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__	)
    UpperCamelCase	:Any     							=       x.reshape((nb_pixels, 1)	)
    UpperCamelCase	:Tuple     							=       numpy.linspace(-window_size					,  SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__	)
    UpperCamelCase	:int     							=       y.reshape((1, nb_pixels)	)
    return x + 1.0J * y


def   _A       (    SCREAMING_SNAKE_CASE__  :     Callable[[Any, numpy.ndarray], numpy.ndarray]					,  SCREAMING_SNAKE_CASE__  :     Any					,  SCREAMING_SNAKE_CASE__  :     int					,  SCREAMING_SNAKE_CASE__  :     numpy.ndarray					,  SCREAMING_SNAKE_CASE__  :     float | None = None					,  ):
    UpperCamelCase	:Dict     							=       z_a.astype('''complex64'''	)
    for _ in range(SCREAMING_SNAKE_CASE__	):
        UpperCamelCase	:int     							=       eval_function(SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__	)
        if infinity is not None:
            numpy.nan_to_num(SCREAMING_SNAKE_CASE__					,  copy=SCREAMING_SNAKE_CASE__					,  nan=SCREAMING_SNAKE_CASE__	)
            UpperCamelCase	:Tuple     							=       infinity
    return z_n


def   _A       (    SCREAMING_SNAKE_CASE__  :     str					,  SCREAMING_SNAKE_CASE__  :     Any					,  SCREAMING_SNAKE_CASE__  :     float					,  SCREAMING_SNAKE_CASE__  :     numpy.ndarray					,  ):
    UpperCamelCase	:Any     							=       (abs(SCREAMING_SNAKE_CASE__	)).transpose()
    UpperCamelCase	:Any     							=       abs_z_final[::-1, :]
    pyplot.matshow(abs_z_final < escape_radius	)
    pyplot.title(F'''Julia set of ${function_label}$, $c={function_params}$'''	)
    pyplot.show()


def   _A       (    ):
    warnings.filterwarnings(
        '''ignore'''					,  category=SCREAMING_SNAKE_CASE__					,  message='''overflow encountered in multiply'''	)
    warnings.filterwarnings(
        '''ignore'''					,  category=SCREAMING_SNAKE_CASE__					,  message='''invalid value encountered in multiply'''					,  )
    warnings.filterwarnings(
        '''ignore'''					,  category=SCREAMING_SNAKE_CASE__					,  message='''overflow encountered in absolute'''	)
    warnings.filterwarnings(
        '''ignore'''					,  category=SCREAMING_SNAKE_CASE__					,  message='''overflow encountered in exp'''	)


if __name__ == "__main__":
 __snake_case							 =  prepare_grid(window_size, nb_pixels)

 ignore_overflow_warnings()  # See file header for explanations

 __snake_case							 =  24
 __snake_case							 =  2 * abs(c_cauliflower) + 1
 __snake_case							 =  iterate_function(
     eval_quadratic_polynomial,
     c_cauliflower,
     nb_iterations,
     z_a,
     infinity=1.1 * escape_radius,
 )
 show_results("""z^2+c""", c_cauliflower, escape_radius, z_final)

 __snake_case							 =  64
 __snake_case							 =  2 * abs(c_polynomial_a) + 1
 __snake_case							 =  iterate_function(
     eval_quadratic_polynomial,
     c_polynomial_a,
     nb_iterations,
     z_a,
     infinity=1.1 * escape_radius,
 )
 show_results("""z^2+c""", c_polynomial_a, escape_radius, z_final)

 __snake_case							 =  1_61
 __snake_case							 =  2 * abs(c_polynomial_a) + 1
 __snake_case							 =  iterate_function(
     eval_quadratic_polynomial,
     c_polynomial_a,
     nb_iterations,
     z_a,
     infinity=1.1 * escape_radius,
 )
 show_results("""z^2+c""", c_polynomial_a, escape_radius, z_final)

 __snake_case							 =  12
 __snake_case							 =  1_0_0_0_0.0
 __snake_case							 =  iterate_function(
     eval_exponential,
     c_exponential,
     nb_iterations,
     z_a + 2,
     infinity=1.0E1_0,
 )
 show_results("""e^z+c""", c_exponential, escape_radius, z_final)













def   _A       (    SCREAMING_SNAKE_CASE__  :     float					,  SCREAMING_SNAKE_CASE__  :     float					,  SCREAMING_SNAKE_CASE__  :     float	):
    if hue < 0 or hue > 360:
        raise Exception('''hue should be between 0 and 360'''	)

    if saturation < 0 or saturation > 1:
        raise Exception('''saturation should be between 0 and 1'''	)

    if value < 0 or value > 1:
        raise Exception('''value should be between 0 and 1'''	)

    UpperCamelCase	:Tuple     							=       value * saturation
    UpperCamelCase	:Any     							=       hue / 60
    UpperCamelCase	:Any     							=       chroma * (1 - abs(hue_section % 2 - 1	))
    UpperCamelCase	:Optional[int]     							=       value - chroma

    if hue_section >= 0 and hue_section <= 1:
        UpperCamelCase	:Any     							=       round(255 * (chroma + match_value)	)
        UpperCamelCase	:Union[str, Any]     							=       round(255 * (second_largest_component + match_value)	)
        UpperCamelCase	:List[str]     							=       round(255 * (match_value)	)
    elif hue_section > 1 and hue_section <= 2:
        UpperCamelCase	:Dict     							=       round(255 * (second_largest_component + match_value)	)
        UpperCamelCase	:Dict     							=       round(255 * (chroma + match_value)	)
        UpperCamelCase	:str     							=       round(255 * (match_value)	)
    elif hue_section > 2 and hue_section <= 3:
        UpperCamelCase	:Any     							=       round(255 * (match_value)	)
        UpperCamelCase	:Optional[Any]     							=       round(255 * (chroma + match_value)	)
        UpperCamelCase	:Union[str, Any]     							=       round(255 * (second_largest_component + match_value)	)
    elif hue_section > 3 and hue_section <= 4:
        UpperCamelCase	:Tuple     							=       round(255 * (match_value)	)
        UpperCamelCase	:Optional[Any]     							=       round(255 * (second_largest_component + match_value)	)
        UpperCamelCase	:str     							=       round(255 * (chroma + match_value)	)
    elif hue_section > 4 and hue_section <= 5:
        UpperCamelCase	:int     							=       round(255 * (second_largest_component + match_value)	)
        UpperCamelCase	:str     							=       round(255 * (match_value)	)
        UpperCamelCase	:List[str]     							=       round(255 * (chroma + match_value)	)
    else:
        UpperCamelCase	:Union[str, Any]     							=       round(255 * (chroma + match_value)	)
        UpperCamelCase	:List[str]     							=       round(255 * (match_value)	)
        UpperCamelCase	:Optional[int]     							=       round(255 * (second_largest_component + match_value)	)

    return [red, green, blue]


def   _A       (    SCREAMING_SNAKE_CASE__  :     int					,  SCREAMING_SNAKE_CASE__  :     int					,  SCREAMING_SNAKE_CASE__  :     int	):
    if red < 0 or red > 255:
        raise Exception('''red should be between 0 and 255'''	)

    if green < 0 or green > 255:
        raise Exception('''green should be between 0 and 255'''	)

    if blue < 0 or blue > 255:
        raise Exception('''blue should be between 0 and 255'''	)

    UpperCamelCase	:str     							=       red / 255
    UpperCamelCase	:List[str]     							=       green / 255
    UpperCamelCase	:int     							=       blue / 255
    UpperCamelCase	:Optional[int]     							=       max(SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__	)
    UpperCamelCase	:int     							=       value - min(SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__					,  SCREAMING_SNAKE_CASE__	)
    UpperCamelCase	:Dict     							=       0 if value == 0 else chroma / value

    if chroma == 0:
        UpperCamelCase	:Dict     							=       0.0
    elif value == float_red:
        UpperCamelCase	:Optional[Any]     							=       60 * (0 + (float_green - float_blue) / chroma)
    elif value == float_green:
        UpperCamelCase	:List[str]     							=       60 * (2 + (float_blue - float_red) / chroma)
    else:
        UpperCamelCase	:str     							=       60 * (4 + (float_red - float_green) / chroma)

    UpperCamelCase	:int     							=       (hue + 360) % 360

    return [hue, saturation, value]



def   _A       (    SCREAMING_SNAKE_CASE__  :     list[float]					,  SCREAMING_SNAKE_CASE__  :     list[float]	):
    UpperCamelCase	:str     							=       abs(hsv_a[0] - hsv_a[0]	) < 0.2
    UpperCamelCase	:List[str]     							=       abs(hsv_a[1] - hsv_a[1]	) < 0.0_02
    UpperCamelCase	:Any     							=       abs(hsv_a[2] - hsv_a[2]	) < 0.0_02

    return check_hue and check_saturation and check_value





