




"""simple docstring"""





import importlib
import sys
from argparse import REMAINDER, ArgumentParser
from pathlib import Path

import torch_xla.distributed.xla_multiprocessing as xmp

def 					_UpperCamelCase    (			)			->			List[str]:


			"""simple docstring"""
			__UpperCAmelCase	: str		=					ArgumentParser(
			    description=(
			        "PyTorch TPU distributed training launch helper utility that will spawn up multiple distributed processes"
			    )							)

			# Optional arguments for the launch helper
			parser.add_argument("--num_cores"				,       type=UpperCamelCase				,       default=1				,       help="Number of TPU cores to use (1 or 8)."							)

			# positional
			parser.add_argument(
			    "training_script"				,       type=UpperCamelCase				,       help=(
			        "The full path to the single TPU training "
			        "program/script to be launched in parallel, "
			        "followed by all the arguments for the "
			        "training script"
			    )				,       )

			# rest from the training program
			parser.add_argument("training_script_args"				,       nargs=UpperCamelCase							)

			return parser.parse_args()

def 					_UpperCamelCase    (			)			->			int:


			"""simple docstring"""
			__UpperCAmelCase	: List[Any]		=					parse_args()

			# Import training_script as a module.
			__UpperCAmelCase	: Dict		=					Path(args.training_script							)
			sys.path.append(str(script_fpath.parent.resolve()							)							)
			__UpperCAmelCase	: Optional[int]		=					script_fpath.stem
			__UpperCAmelCase	: str		=					importlib.import_module(UpperCamelCase							)

			# Patch sys.argv
			__UpperCAmelCase	: Any		=					[args.training_script] + args.training_script_args + ["--tpu_num_cores", str(args.num_cores							)]

			xmp.spawn(mod._mp_fn				,       args=()				,       nprocs=args.num_cores							)


if __name__ == "__main__":
					main()








"""simple docstring"""





from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: List[str]		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[int]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Any		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: Tuple		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Optional[Any]		=					(1 - _cos) / 2
			__UpperCAmelCase	: Any		=					1 - _cos

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

			__UpperCAmelCase	: str		=					IIRFilter(2							)
			filt.set_coefficients([aa, aa, aa]				,       [ba, ba, ba]							)
			return filt

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: int		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[Any]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Dict		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: Tuple		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Dict		=					(1 + _cos) / 2
			__UpperCAmelCase	: Tuple		=					-1 - _cos

			__UpperCAmelCase	: Any		=					1 + alpha
			__UpperCAmelCase	: int		=					-2 * _cos
			__UpperCAmelCase	: int		=					1 - alpha

			__UpperCAmelCase	: Union[str, Any]		=					IIRFilter(2							)
			filt.set_coefficients([aa, aa, aa]				,       [ba, ba, ba]							)
			return filt

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: Tuple		=					tau * frequency / samplerate
			__UpperCAmelCase	: Tuple		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: List[str]		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: List[Any]		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Any		=					_sin / 2
			__UpperCAmelCase	: Optional[int]		=					0
			__UpperCAmelCase	: int		=					-ba

			__UpperCAmelCase	: Dict		=					1 + alpha
			__UpperCAmelCase	: List[str]		=					-2 * _cos
			__UpperCAmelCase	: int		=					1 - alpha

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

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)							)			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: str		=					tau * frequency / samplerate
			__UpperCAmelCase	: List[Any]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Any		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: List[str]		=					_sin / (2 * q_factor)

			__UpperCAmelCase	: Optional[Any]		=					1 - alpha
			__UpperCAmelCase	: Tuple		=					-2 * _cos
			__UpperCAmelCase	: List[Any]		=					1 + alpha

			__UpperCAmelCase	: str		=					IIRFilter(2							)
			filt.set_coefficients([ba, ba, ba]				,       [ba, ba, ba]							)
			return filt

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)				,       )			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: Dict		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[int]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Optional[Any]		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: List[Any]		=					_sin / (2 * q_factor)
			__UpperCAmelCase	: List[Any]		=					10 ** (gain_db / 40)

			__UpperCAmelCase	: List[str]		=					1 + alpha * big_a
			__UpperCAmelCase	: Optional[Any]		=					-2 * _cos
			__UpperCAmelCase	: int		=					1 - alpha * big_a
			__UpperCAmelCase	: Optional[int]		=					1 + alpha / big_a
			__UpperCAmelCase	: Union[str, Any]		=					-2 * _cos
			__UpperCAmelCase	: Dict		=					1 - alpha / big_a

			__UpperCAmelCase	: Dict		=					IIRFilter(2							)
			filt.set_coefficients([aa, aa, aa]				,       [ba, ba, ba]							)
			return filt

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)				,       )			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: str		=					tau * frequency / samplerate
			__UpperCAmelCase	: int		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Optional[Any]		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: str		=					_sin / (2 * q_factor)
			__UpperCAmelCase	: str		=					10 ** (gain_db / 40)
			__UpperCAmelCase	: Union[str, Any]		=					(big_a + 1) - (big_a - 1) * _cos
			__UpperCAmelCase	: Optional[int]		=					(big_a + 1) + (big_a - 1) * _cos
			__UpperCAmelCase	: List[str]		=					(big_a - 1) - (big_a + 1) * _cos
			__UpperCAmelCase	: List[Any]		=					(big_a - 1) + (big_a + 1) * _cos
			__UpperCAmelCase	: Optional[Any]		=					2 * sqrt(UpperCamelCase							) * alpha

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

			__UpperCAmelCase	: str		=					IIRFilter(2							)
			filt.set_coefficients([aa, aa, aa]				,       [ba, ba, ba]							)
			return filt





def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase				,       UpperCamelCase = 1 / sqrt(2							)				,       )			->			IIRFilter:


			"""simple docstring"""
			__UpperCAmelCase	: Dict		=					tau * frequency / samplerate
			__UpperCAmelCase	: Optional[int]		=					sin(UpperCamelCase							)
			__UpperCAmelCase	: Dict		=					cos(UpperCamelCase							)
			__UpperCAmelCase	: str		=					_sin / (2 * q_factor)
			__UpperCAmelCase	: int		=					10 ** (gain_db / 40)
			__UpperCAmelCase	: Optional[Any]		=					(big_a + 1) - (big_a - 1) * _cos
			__UpperCAmelCase	: Optional[int]		=					(big_a + 1) + (big_a - 1) * _cos
			__UpperCAmelCase	: Union[str, Any]		=					(big_a - 1) - (big_a + 1) * _cos
			__UpperCAmelCase	: Tuple		=					(big_a - 1) + (big_a + 1) * _cos
			__UpperCAmelCase	: Optional[Any]		=					2 * sqrt(UpperCamelCase							) * alpha

			__UpperCAmelCase	: Tuple		=					big_a * (ppmc + aaa)
			__UpperCAmelCase	: Any		=					-2 * big_a * pmpc
			__UpperCAmelCase	: int		=					big_a * (ppmc - aaa)
			__UpperCAmelCase	: int		=					pmc + aaa
			__UpperCAmelCase	: Tuple		=					2 * mpc
			__UpperCAmelCase	: Union[str, Any]		=					pmc - aaa

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


