'''simple docstring'''




from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)							):
     lowercase_					:       int     				=					tau * frequency / samplerate
     lowercase_					:       List[Any]     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       int     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Union[str, Any]     				=					_sin / (2 * q_factor)

     lowercase_					:       str     				=					(1 - _cos) / 2
     lowercase_					:       Tuple     				=					1 - _cos

     lowercase_					:       Optional[int]     				=					1 + alpha
     lowercase_					:       Dict     				=					-2 * _cos
     lowercase_					:       Tuple     				=					1 - alpha

     lowercase_					:       Tuple     				=					IIRFilter(2							)
     filt.set_coefficients([aa, aa, aa]  ,       [ba, ba, ba]							)
     return filt

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)							):
     lowercase_					:       Optional[Any]     				=					tau * frequency / samplerate
     lowercase_					:       Dict     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Union[str, Any]     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       int     				=					_sin / (2 * q_factor)

     lowercase_					:       Union[str, Any]     				=					(1 + _cos) / 2
     lowercase_					:       str     				=					-1 - _cos

     lowercase_					:       Dict     				=					1 + alpha
     lowercase_					:       Tuple     				=					-2 * _cos
     lowercase_					:       List[Any]     				=					1 - alpha

     lowercase_					:       Optional[Any]     				=					IIRFilter(2							)
     filt.set_coefficients([aa, aa, aa]  ,       [ba, ba, ba]							)
     return filt

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)							):
     lowercase_					:       Dict     				=					tau * frequency / samplerate
     lowercase_					:       Optional[int]     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Dict     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       int     				=					_sin / (2 * q_factor)

     lowercase_					:       List[Any]     				=					_sin / 2
     lowercase_					:       List[str]     				=					0
     lowercase_					:       Union[str, Any]     				=					-ba

     lowercase_					:       Union[str, Any]     				=					1 + alpha
     lowercase_					:       Union[str, Any]     				=					-2 * _cos
     lowercase_					:       Any     				=					1 - alpha

     lowercase_					:       Optional[int]     				=					IIRFilter(2							)
     filt.set_coefficients([aa, aa, aa]  ,       [ba, ba, ba]							)
     return filt

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)							):
     lowercase_					:       Any     				=					tau * frequency / samplerate
     lowercase_					:       Tuple     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Any     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       str     				=					_sin / (2 * q_factor)

     lowercase_					:       List[Any]     				=					1 - alpha
     lowercase_					:       Dict     				=					-2 * _cos
     lowercase_					:       List[Any]     				=					1 + alpha

     lowercase_					:       int     				=					IIRFilter(2							)
     filt.set_coefficients([ba, ba, ba]  ,       [ba, ba, ba]							)
     return filt

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)  ,       ):
     lowercase_					:       Optional[int]     				=					tau * frequency / samplerate
     lowercase_					:       int     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       int     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Optional[Any]     				=					_sin / (2 * q_factor)
     lowercase_					:       Dict     				=					10 ** (gain_db / 40)

     lowercase_					:       int     				=					1 + alpha * big_a
     lowercase_					:       Optional[int]     				=					-2 * _cos
     lowercase_					:       Optional[Any]     				=					1 - alpha * big_a
     lowercase_					:       List[Any]     				=					1 + alpha / big_a
     lowercase_					:       int     				=					-2 * _cos
     lowercase_					:       List[Any]     				=					1 - alpha / big_a

     lowercase_					:       Optional[int]     				=					IIRFilter(2							)
     filt.set_coefficients([aa, aa, aa]  ,       [ba, ba, ba]							)
     return filt

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)  ,       ):
     lowercase_					:       Optional[Any]     				=					tau * frequency / samplerate
     lowercase_					:       Any     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       List[Any]     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Union[str, Any]     				=					_sin / (2 * q_factor)
     lowercase_					:       List[Any]     				=					10 ** (gain_db / 40)
     lowercase_					:       Optional[int]     				=					(big_a + 1) - (big_a - 1) * _cos
     lowercase_					:       str     				=					(big_a + 1) + (big_a - 1) * _cos
     lowercase_					:       List[Any]     				=					(big_a - 1) - (big_a + 1) * _cos
     lowercase_					:       int     				=					(big_a - 1) + (big_a + 1) * _cos
     lowercase_					:       int     				=					2 * sqrt(SCREAMING_SNAKE_CASE_							) * alpha

     lowercase_					:       Tuple     				=					big_a * (pmc + aaa)
     lowercase_					:       Optional[int]     				=					2 * big_a * mpc
     lowercase_					:       Any     				=					big_a * (pmc - aaa)
     lowercase_					:       Any     				=					ppmc + aaa
     lowercase_					:       List[str]     				=					-2 * pmpc
     lowercase_					:       Dict     				=					ppmc - aaa

     lowercase_					:       Tuple     				=					IIRFilter(2							)
     filt.set_coefficients([aa, aa, aa]  ,       [ba, ba, ba]							)
     return filt






def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_ = 1 / sqrt(2							)  ,       ):
     lowercase_					:       Dict     				=					tau * frequency / samplerate
     lowercase_					:       int     				=					sin(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       int     				=					cos(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Any     				=					_sin / (2 * q_factor)
     lowercase_					:       str     				=					10 ** (gain_db / 40)
     lowercase_					:       int     				=					(big_a + 1) - (big_a - 1) * _cos
     lowercase_					:       Tuple     				=					(big_a + 1) + (big_a - 1) * _cos
     lowercase_					:       Any     				=					(big_a - 1) - (big_a + 1) * _cos
     lowercase_					:       Union[str, Any]     				=					(big_a - 1) + (big_a + 1) * _cos
     lowercase_					:       List[str]     				=					2 * sqrt(SCREAMING_SNAKE_CASE_							) * alpha

     lowercase_					:       int     				=					big_a * (ppmc + aaa)
     lowercase_					:       Optional[Any]     				=					-2 * big_a * pmpc
     lowercase_					:       Optional[Any]     				=					big_a * (ppmc - aaa)
     lowercase_					:       List[Any]     				=					pmc + aaa
     lowercase_					:       int     				=					2 * mpc
     lowercase_					:       List[Any]     				=					pmc - aaa

     lowercase_					:       int     				=					IIRFilter(2							)
     filt.set_coefficients([aa, aa, aa]  ,       [ba, ba, ba]							)
     return filt





'''simple docstring'''




class       UpperCAmelCase__  (       _snake_case			):






   """simple docstring"""
   pass



class       UpperCAmelCase__  (       _snake_case			):






   """simple docstring"""
   pass



class       UpperCAmelCase__  :






   """simple docstring"""
   def __init__(self				)    ->     List[str]:
        lowercase_					:       Optional[int]     				=					[
            [],
            [],
            [],
        ]
   def 		_lowerCamelCase (self       ,				_a       ,				_a				)    ->     None:
        try:
             if len(self.queues[priority]				) >= 100:
                  raise OverflowError('Maximum queue size is 100'				)
             self.queues[priority].append(_a				)
        except IndexError:
             raise ValueError('Valid priorities are 0, 1, and 2'				)
   def 		_lowerCamelCase (self				)    ->     int:
        for queue in self.queues:
             if queue:
                  return queue.pop(0				)
        raise UnderFlowError('All queues are empty'				)





   def __str__(self				)    ->     str:
        return "\n".join(f'''Priority {i}: {q}''' for i, q in enumerate(self.queues				)				)



class       UpperCAmelCase__  :






   """simple docstring"""
   def __init__(self				)    ->     str:
        lowercase_					:       List[Any]     				=					[]
   def 		_lowerCamelCase (self       ,				_a				)    ->     None:
        if len(self.queue				) == 100:
             raise OverFlowError('Maximum queue size is 100'				)
        self.queue.append(_a				)
   def 		_lowerCamelCase (self				)    ->     int:
        if not self.queue:
             raise UnderFlowError('The queue is empty'				)
        else:
             lowercase_					:       Tuple     				=					min(self.queue				)
             self.queue.remove(_a				)
             return data





   def __str__(self				)    ->     str:
        return str(self.queue				)



def _UpperCamelCase   (       ):
     lowercase_					:       Any     				=					FixedPriorityQueue()
     fpq.enqueue(0  ,       10							)
     fpq.enqueue(1  ,       70							)
     fpq.enqueue(0  ,       100							)
     fpq.enqueue(2  ,       1							)
     fpq.enqueue(2  ,       5							)
     fpq.enqueue(1  ,       7							)
     fpq.enqueue(2  ,       4							)
     fpq.enqueue(1  ,       64							)
     fpq.enqueue(0  ,       128							)
     print(SCREAMING_SNAKE_CASE_							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(SCREAMING_SNAKE_CASE_							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)

def _UpperCamelCase   (       ):
     lowercase_					:       Optional[int]     				=					ElementPriorityQueue()
     epq.enqueue(10							)
     epq.enqueue(70							)
     epq.enqueue(100							)
     epq.enqueue(1							)
     epq.enqueue(5							)
     epq.enqueue(7							)
     epq.enqueue(4							)
     epq.enqueue(64							)
     epq.enqueue(128							)
     print(SCREAMING_SNAKE_CASE_							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(SCREAMING_SNAKE_CASE_							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)


if __name__ == "__main__":
 fixed_priority_queue()
 element_priority_queue()




