
from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float = 1 / sqrt(2					)					):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)

				lowercase_       =					(1 - _cos) / 2
				lowercase_       =					1 - _cos

				lowercase_       =					1 + alpha
				lowercase_       =					-2 * _cos
				lowercase_       =					1 - alpha

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




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float = 1 / sqrt(2					)					):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)

				lowercase_       =					(1 + _cos) / 2
				lowercase_       =					-1 - _cos

				lowercase_       =					1 + alpha
				lowercase_       =					-2 * _cos
				lowercase_       =					1 - alpha

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




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float = 1 / sqrt(2					)					):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)

				lowercase_       =					_sin / 2
				lowercase_       =					0
				lowercase_       =					-ba

				lowercase_       =					1 + alpha
				lowercase_       =					-2 * _cos
				lowercase_       =					1 - alpha

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




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float = 1 / sqrt(2					)					):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)

				lowercase_       =					1 - alpha
				lowercase_       =					-2 * _cos
				lowercase_       =					1 + alpha

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




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float						,   snake_case__:					float = 1 / sqrt(2					)						,   ):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)
				lowercase_       =					10 ** (gain_db / 40)

				lowercase_       =					1 + alpha * big_a
				lowercase_       =					-2 * _cos
				lowercase_       =					1 - alpha * big_a
				lowercase_       =					1 + alpha / big_a
				lowercase_       =					-2 * _cos
				lowercase_       =					1 - alpha / big_a

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




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float						,   snake_case__:					float = 1 / sqrt(2					)						,   ):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)
				lowercase_       =					10 ** (gain_db / 40)
				lowercase_       =					(big_a + 1) - (big_a - 1) * _cos
				lowercase_       =					(big_a + 1) + (big_a - 1) * _cos
				lowercase_       =					(big_a - 1) - (big_a + 1) * _cos
				lowercase_       =					(big_a - 1) + (big_a + 1) * _cos
				lowercase_       =					2 * sqrt(snake_case__					) * alpha

				lowercase_       =					big_a * (pmc + aaa)
				lowercase_       =					2 * big_a * mpc
				lowercase_       =					big_a * (pmc - aaa)
				lowercase_       =					ppmc + aaa
				lowercase_       =					-2 * pmpc
				lowercase_       =					ppmc - aaa

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




def 				a						(							snake_case__:					int						,   snake_case__:					int						,   snake_case__:					float						,   snake_case__:					float = 1 / sqrt(2					)						,   ):


				'''simple docstring'''
				lowercase_       =					tau * frequency / samplerate
				lowercase_       =					sin(snake_case__					)
				lowercase_       =					cos(snake_case__					)
				lowercase_       =					_sin / (2 * q_factor)
				lowercase_       =					10 ** (gain_db / 40)
				lowercase_       =					(big_a + 1) - (big_a - 1) * _cos
				lowercase_       =					(big_a + 1) + (big_a - 1) * _cos
				lowercase_       =					(big_a - 1) - (big_a + 1) * _cos
				lowercase_       =					(big_a - 1) + (big_a + 1) * _cos
				lowercase_       =					2 * sqrt(snake_case__					) * alpha

				lowercase_       =					big_a * (ppmc + aaa)
				lowercase_       =					-2 * big_a * pmpc
				lowercase_       =					big_a * (ppmc - aaa)
				lowercase_       =					pmc + aaa
				lowercase_       =					2 * mpc
				lowercase_       =					pmc - aaa

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






from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_speech_available,
    is_torch_available,
)


__a  			=					{
    'configuration_trocr': ['TROCR_PRETRAINED_CONFIG_ARCHIVE_MAP', 'TrOCRConfig'],
    'processing_trocr': ['TrOCRProcessor'],
}


try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						__a  			=					[
						    'TROCR_PRETRAINED_MODEL_ARCHIVE_LIST',
						    'TrOCRForCausalLM',
						    'TrOCRPreTrainedModel',
						]


if TYPE_CHECKING:
						from .configuration_trocr import TROCR_PRETRAINED_CONFIG_ARCHIVE_MAP, TrOCRConfig
						from .processing_trocr import TrOCRProcessor

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_trocr import TROCR_PRETRAINED_MODEL_ARCHIVE_LIST, TrOCRForCausalLM, TrOCRPreTrainedModel

else:
						import sys

						__a  			=					_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)




