





import re

import jax.numpy as jnp
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.random import PRNGKey

from ..utils import logging


UpperCAmelCase__  :     Any   			=logging.get_logger(__name__)





def        _lowercase   (  _UpperCAmelCase			)  ->					Any:
				lowerCamelCase			=r"""\w+[.]\d+"""
				lowerCamelCase			=re.findall(__a     , __a			)
				for pat in pats:
								lowerCamelCase			=key.replace(__a     , """_""".join(pat.split("""."""			)			)			)
				return key





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase			)  ->					List[str]:
				lowerCamelCase			=pt_tuple_key[:-1] + ("""scale""",)
				if (
				    any("""norm""" in str_ for str_ in pt_tuple_key			)
				    and (pt_tuple_key[-1] == "bias")
				    and (pt_tuple_key[:-1] + ("bias",) not in random_flax_state_dict)
				    and (pt_tuple_key[:-1] + ("scale",) in random_flax_state_dict)
				):
								lowerCamelCase			=pt_tuple_key[:-1] + ("""scale""",)
								return renamed_pt_tuple_key, pt_tensor
				elif pt_tuple_key[-1] in ["weight", "gamma"] and pt_tuple_key[:-1] + ("scale",) in random_flax_state_dict:
								lowerCamelCase			=pt_tuple_key[:-1] + ("""scale""",)
								return renamed_pt_tuple_key, pt_tensor

				# embedding
				if pt_tuple_key[-1] == "weight" and pt_tuple_key[:-1] + ("embedding",) in random_flax_state_dict:
								lowerCamelCase			=pt_tuple_key[:-1] + ("""embedding""",)
								return renamed_pt_tuple_key, pt_tensor

				# conv layer
				lowerCamelCase			=pt_tuple_key[:-1] + ("""kernel""",)
				if pt_tuple_key[-1] == "weight" and pt_tensor.ndim == 4:
								lowerCamelCase			=pt_tensor.transpose(2     , 3     , 1     , 0			)
								return renamed_pt_tuple_key, pt_tensor

				# linear layer
				lowerCamelCase			=pt_tuple_key[:-1] + ("""kernel""",)
				if pt_tuple_key[-1] == "weight":
								lowerCamelCase			=pt_tensor.T
								return renamed_pt_tuple_key, pt_tensor

				# old PyTorch layer norm weight
				lowerCamelCase			=pt_tuple_key[:-1] + ("""weight""",)
				if pt_tuple_key[-1] == "gamma":
								return renamed_pt_tuple_key, pt_tensor

				# old PyTorch layer norm bias
				lowerCamelCase			=pt_tuple_key[:-1] + ("""bias""",)
				if pt_tuple_key[-1] == "beta":
								return renamed_pt_tuple_key, pt_tensor

				return pt_tuple_key, pt_tensor





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase=42			)  ->					List[Any]:
				# Step 1: Convert pytorch tensor to numpy
				lowerCamelCase			={k: v.numpy() for k, v in pt_state_dict.items()}

				# Step 2: Since the model is stateless, get random Flax params
				lowerCamelCase			=flax_model.init_weights(PRNGKey(__a			)			)

				lowerCamelCase			=flatten_dict(__a			)
				lowerCamelCase			={}

				# Need to change some parameters name to match Flax names
				for pt_key, pt_tensor in pt_state_dict.items():
								lowerCamelCase			=rename_key(__a			)
								lowerCamelCase			=tuple(renamed_pt_key.split("""."""			)			)

								# Correctly rename weight parameters
								lowerCamelCase	,					lowerCamelCase			=rename_key_and_reshape_tensor(__a     , __a     , __a			)

								if flax_key in random_flax_state_dict:
												if flax_tensor.shape != random_flax_state_dict[flax_key].shape:
																raise ValueError(
																    F"""PyTorch checkpoint seems to be incorrect. Weight {pt_key} was expected to be of shape """
																    F"""{random_flax_state_dict[flax_key].shape}, but is {flax_tensor.shape}."""			)

        # also add unexpected weight so that warning is thrown
								lowerCamelCase			=jnp.asarray(__a			)

				return unflatten_dict(__a			)












from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)			)  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)

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

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

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





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)			)  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)

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

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

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





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)			)  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)

				lowerCamelCase			=_sin / 2
				lowerCamelCase			=0
				lowerCamelCase			=-ba

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

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





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)			)  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)

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

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





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)     , )  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)
				lowerCamelCase			=10 ** (gain_db / 40)

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

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





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)     , )  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)
				lowerCamelCase			=10 ** (gain_db / 40)
				lowerCamelCase			=(big_a + 1) - (big_a - 1) * _cos
				lowerCamelCase			=(big_a + 1) + (big_a - 1) * _cos
				lowerCamelCase			=(big_a - 1) - (big_a + 1) * _cos
				lowerCamelCase			=(big_a - 1) + (big_a + 1) * _cos
				lowerCamelCase			=2 * sqrt(_UpperCAmelCase			) * alpha

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

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





def        _lowercase   (  _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase     , _UpperCAmelCase = 1 / sqrt(2			)     , )  ->					IIRFilter:
				lowerCamelCase			=tau * frequency / samplerate
				lowerCamelCase			=sin(_UpperCAmelCase			)
				lowerCamelCase			=cos(_UpperCAmelCase			)
				lowerCamelCase			=_sin / (2 * q_factor)
				lowerCamelCase			=10 ** (gain_db / 40)
				lowerCamelCase			=(big_a + 1) - (big_a - 1) * _cos
				lowerCamelCase			=(big_a + 1) + (big_a - 1) * _cos
				lowerCamelCase			=(big_a - 1) - (big_a + 1) * _cos
				lowerCamelCase			=(big_a - 1) + (big_a + 1) * _cos
				lowerCamelCase			=2 * sqrt(_UpperCAmelCase			) * alpha

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

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





