'''simple docstring'''




import asyncio
import os
import shutil
import subprocess
import sys
import tempfile
import unittest
from distutils.util import strtobool
from functools import partial
from pathlib import Path
from typing import List, Union
from unittest import mock

import torch

from ..state import AcceleratorState, PartialState
from ..utils import (
    gather,
    is_bnb_available,
    is_comet_ml_available,
    is_datasets_available,
    is_deepspeed_available,
    is_mps_available,
    is_safetensors_available,
    is_tensorboard_available,
    is_torch_version,
    is_tpu_available,
    is_transformers_available,
    is_wandb_available,
    is_xpu_available,
)

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Dict			,	_UpperCAmelCase  :      List[Any]=False    )    ->    int:


       """simple docstring"""







       try:
              _UpperCAmelCase     :  str							      =    os.environ[key]
       except KeyError:
              # KEY isn't set, default to `default`.
              _UpperCAmelCase     :  Optional[Any]							      =    default
       else:
              # KEY is set, convert it to True or False.
              try:
                     _UpperCAmelCase     :  List[str]							      =    strtobool(_UpperCAmelCase    )
              except ValueError:
                     # More values are supported, but let's keep the message simple.
                     raise ValueError(F"""If set, {key} must be yes or no."""    )
       return _value


__SCREAMING_SNAKE_CASE       :     Optional[Any]     =  parse_flag_from_env("""RUN_SLOW""", default=False)

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[Any]    )    ->    Union[str, Any]:


       """simple docstring"""







       return unittest.skip("Test was skipped"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      str    )    ->    Tuple:


       """simple docstring"""







       return unittest.skipUnless(_run_slow_tests			,	"test is slow"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Dict    )    ->    List[Any]:


       """simple docstring"""







       return unittest.skipUnless(not torch.cuda.is_available()			,	"test requires only a CPU"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Any    )    ->    Optional[Any]:


       """simple docstring"""







       return unittest.skipUnless(torch.cuda.is_available()			,	"test requires a GPU"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Optional[Any]    )    ->    List[str]:


       """simple docstring"""







       return unittest.skipUnless(is_xpu_available()			,	"test requires a XPU"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[str]    )    ->    List[Any]:


       """simple docstring"""







       return unittest.skipUnless(is_mps_available()			,	"test requires a `mps` backend support in `torch`"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Dict    )    ->    Dict:


       """simple docstring"""







       return unittest.skipUnless(
           is_transformers_available() and is_datasets_available()			,	"test requires the Hugging Face suite"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Union[str, Any]    )    ->    Union[str, Any]:


       """simple docstring"""







       return unittest.skipUnless(is_bnb_available()			,	"test requires the bitsandbytes library"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Tuple    )    ->    str:


       """simple docstring"""







       return unittest.skipUnless(is_tpu_available()			,	"test requires TPU"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Dict    )    ->    Tuple:


       """simple docstring"""







       return unittest.skipUnless(torch.cuda.device_count() == 1			,	"test requires a GPU"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Dict    )    ->    str:


       """simple docstring"""







       return unittest.skipUnless(torch.xpu.device_count() == 1			,	"test requires a XPU"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[Any]    )    ->    List[Any]:


       """simple docstring"""







       return unittest.skipUnless(torch.cuda.device_count() > 1			,	"test requires multiple GPUs"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    Optional[int]:


       """simple docstring"""







       return unittest.skipUnless(torch.xpu.device_count() > 1			,	"test requires multiple XPUs"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[Any]    )    ->    List[Any]:


       """simple docstring"""







       return unittest.skipUnless(is_safetensors_available()			,	"test requires safetensors"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      str    )    ->    Optional[Any]:


       """simple docstring"""







       return unittest.skipUnless(is_deepspeed_available()			,	"test requires DeepSpeed"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    Dict:


       """simple docstring"""







       return unittest.skipUnless(is_torch_version(">="			,	"1.12.0"    )			,	"test requires torch version >= 1.12.0"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[Any]=None			,	_UpperCAmelCase  :      Optional[int]=None    )    ->    Dict:


       """simple docstring"""







       if test_case is None:
              return partial(_UpperCAmelCase			,	version=_UpperCAmelCase    )
       return unittest.skipUnless(is_torch_version(">="			,	_UpperCAmelCase    )			,	F"""test requires torch version >= {version}"""    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    List[Any]:


       """simple docstring"""







       return unittest.skipUnless(is_tensorboard_available()			,	"test requires Tensorboard"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    Optional[int]:


       """simple docstring"""







       return unittest.skipUnless(is_wandb_available()			,	"test requires wandb"    )(_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Union[str, Any]    )    ->    Dict:


       """simple docstring"""







       return unittest.skipUnless(is_comet_ml_available()			,	"test requires comet_ml"    )(_UpperCAmelCase    )


__SCREAMING_SNAKE_CASE       :     str     =  (
    any([is_wandb_available(), is_tensorboard_available()]) and not is_comet_ml_available()
)

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    str:


       """simple docstring"""







       return unittest.skipUnless(
           _atleast_one_tracker_available			,	"test requires at least one tracker to be available and for `comet_ml` to not be installed"			,	)(_UpperCAmelCase    )

class 	lowerCamelCase_	(unittest.TestCase    ):
      '''simple docstring'''

      __UpperCamelCase:  Union[str, Any]						=						True




      @classmethod
      def      _A	(       cls						:				Any       ):
             _UpperCAmelCase     :  Union[str, Any]							      =    tempfile.mkdtemp()




      @classmethod
      def      _A	(       cls						:				Union[str, Any]       ):
             if os.path.exists(cls.tmpdir       ):
                    shutil.rmtree(cls.tmpdir       )





      def      _A	(       self						:				Tuple       ):
             if self.clear_on_setup:
                    for path in Path(self.tmpdir       ).glob("**/*"       ):
                           if path.is_file():
                                  path.unlink()
                           elif path.is_dir():
                                  shutil.rmtree(A       )

class 	lowerCamelCase_	(unittest.TestCase    ):
      '''simple docstring'''

      def      _A	(       self						:				Dict       ):
             super().tearDown()
             # Reset the state of the AcceleratorState singleton.
             AcceleratorState._reset_state()
             PartialState._reset_state()

class 	lowerCamelCase_	(unittest.TestCase    ):
      '''simple docstring'''

      def      _A	(       self						:				Tuple						,					A						:				Union[mock.Mock, List[mock.Mock]]       ):
             _UpperCAmelCase     :  Optional[int]							      =    mocks if isinstance(A						,					(tuple, list)       ) else [mocks]
             for m in self.mocks:
                    m.start()
                    self.addCleanup(m.stop       )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      str    )    ->    str:


       """simple docstring"""







       _UpperCAmelCase     :  Optional[int]							      =    AcceleratorState()
       _UpperCAmelCase     :  Dict							      =    tensor[None].clone().to(state.device    )
       _UpperCAmelCase     :  Union[str, Any]							      =    gather(_UpperCAmelCase    ).cpu()
       _UpperCAmelCase     :  str							      =    tensor[0].cpu()
       for i in range(tensors.shape[0]    ):
              if not torch.equal(tensors[i]			,	_UpperCAmelCase    ):
                     return False
       return True

class 	lowerCamelCase_	:
      '''simple docstring'''

      def __init__(       self						:				Any						,					A						:				int						,					A						:				str						,					A						:				Optional[int]       ):
             _UpperCAmelCase     :  Dict							      =    returncode
             _UpperCAmelCase     :  Optional[int]							      =    stdout
             _UpperCAmelCase     :  str							      =    stderr

async def 	UpperCamelCase_							(					_UpperCAmelCase  :      Any			,	_UpperCAmelCase  :      Any    )    ->    Optional[int]:


       """simple docstring"""







       while True:
              _UpperCAmelCase     :  Union[str, Any]							      =    await stream.readline()
              if line:
                     callback(_UpperCAmelCase    )
              else:
                     break

async def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[str]			,	_UpperCAmelCase  :      Optional[int]=None			,	_UpperCAmelCase  :      Any=None			,	_UpperCAmelCase  :      List[Any]=None			,	_UpperCAmelCase  :      Any=False			,	_UpperCAmelCase  :      Optional[Any]=False    )    ->    _RunOutput:


       """simple docstring"""







       if echo:
              print("\nRunning: "			,	" ".join(_UpperCAmelCase    )    )

       _UpperCAmelCase     :  Optional[int]							      =    await asyncio.create_subprocess_exec(
           cmd[0]			,	*cmd[1:]			,	stdin=_UpperCAmelCase			,	stdout=asyncio.subprocess.PIPE			,	stderr=asyncio.subprocess.PIPE			,	env=_UpperCAmelCase			,	)

       # note: there is a warning for a possible deadlock when using `wait` with huge amounts of data in the pipe
       # https://docs.python.org/3/library/asyncio-subprocess.html#asyncio.asyncio.subprocess.Process.wait
       #
       # If it starts hanging, will need to switch to the following code. The problem is that no data
       # will be seen until it's done and if it hangs for example there will be no debug info.
       # out, err = await p.communicate()
       # return _RunOutput(p.returncode, out, err)

       _UpperCAmelCase     :  Tuple							      =    []
       _UpperCAmelCase     :  Union[str, Any]							      =    []

       def tee(_UpperCAmelCase  :      List[Any]			,	_UpperCAmelCase  :      Union[str, Any]			,	_UpperCAmelCase  :      Union[str, Any]			,	_UpperCAmelCase  :      Optional[int]=""    ):
              _UpperCAmelCase     :  Optional[int]							      =    line.decode("utf-8"    ).rstrip()
              sink.append(_UpperCAmelCase    )
              if not quiet:
                     print(_UpperCAmelCase			,	_UpperCAmelCase			,	file=_UpperCAmelCase    )

    # XXX: the timeout doesn't seem to make any difference here
       await asyncio.wait(
           [
               asyncio.create_task(_read_stream(p.stdout			,	lambda _UpperCAmelCase    : tee(_UpperCAmelCase			,	_UpperCAmelCase			,	sys.stdout			,	label="stdout:"    )    )    ),
               asyncio.create_task(_read_stream(p.stderr			,	lambda _UpperCAmelCase    : tee(_UpperCAmelCase			,	_UpperCAmelCase			,	sys.stderr			,	label="stderr:"    )    )    ),
           ]			,	timeout=_UpperCAmelCase			,	)
       return _RunOutput(await p.wait()			,	_UpperCAmelCase			,	_UpperCAmelCase    )

def 	UpperCamelCase_							(					_UpperCAmelCase  :      Any			,	_UpperCAmelCase  :      Union[str, Any]=None			,	_UpperCAmelCase  :      str=None			,	_UpperCAmelCase  :      List[Any]=180			,	_UpperCAmelCase  :      List[str]=False			,	_UpperCAmelCase  :      List[Any]=True    )    ->    _RunOutput:


       """simple docstring"""







       _UpperCAmelCase     :  str							      =    asyncio.get_event_loop()
       _UpperCAmelCase     :  Dict							      =    loop.run_until_complete(
           _stream_subprocess(_UpperCAmelCase			,	env=_UpperCAmelCase			,	stdin=_UpperCAmelCase			,	timeout=_UpperCAmelCase			,	quiet=_UpperCAmelCase			,	echo=_UpperCAmelCase    )    )

       _UpperCAmelCase     :  Any							      =    " ".join(_UpperCAmelCase    )
       if result.returncode > 0:
              _UpperCAmelCase     :  Union[str, Any]							      =    "\n".join(result.stderr    )
              raise RuntimeError(
                  F"""'{cmd_str}' failed with returncode {result.returncode}\n\n"""
                  F"""The combined stderr from workers follows:\n{stderr}"""    )

       return result

class 	lowerCamelCase_	(snake_case__    ):
      '''simple docstring'''

      pass

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[str]			,	_UpperCAmelCase  :      List[Any]=False    )    ->    Optional[Any]:


       """simple docstring"""







       try:
              _UpperCAmelCase     :  Union[str, Any]							      =    subprocess.check_output(_UpperCAmelCase			,	stderr=subprocess.STDOUT    )
              if return_stdout:
                     if hasattr(_UpperCAmelCase			,	"decode"    ):
                            _UpperCAmelCase     :  Optional[Any]							      =    output.decode("utf-8"    )
                     return output
       except subprocess.CalledProcessError as e:
              raise SubprocessCallException(
                  F"""Command `{' '.join(_UpperCAmelCase    )}` failed with the following error:\n\n{e.output.decode()}"""    ) from e



from __future__ import annotations

import math

lowerCamelCase__          =		"""2020.9.26"""
lowerCamelCase__          =		"""xcodz-dot, cclaus, dhruvmanila"""
def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_     )				->		tuple[float, float]:
			if not all(isinstance(SCREAMING_SNAKE_CASE_       ,							(float, int)     ) for val in locals().values()     ):
						lowerCAmelCase__      :      List[str]         =		F'''Input values must either be float or int: {list(locals().values()     )}'''
						raise TypeError(SCREAMING_SNAKE_CASE_     )
			lowerCAmelCase__      :      Tuple         =		((x * distance) / (z + distance)) * scale
			lowerCAmelCase__      :      Optional[int]         =		((y * distance) / (z + distance)) * scale
			return projected_x, projected_y
def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_     )				->		tuple[float, float, float]:
			if not isinstance(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_     ):
						raise TypeError('Axis must be a str'     )
			lowerCAmelCase__      :      Optional[int]         =		locals()
			del input_variables["axis"]
			if not all(isinstance(SCREAMING_SNAKE_CASE_       ,							(float, int)     ) for val in input_variables.values()     ):
						lowerCAmelCase__      :      List[Any]         =		(
						    'Input values except axis must either be float or int: '
						    F'''{list(input_variables.values()     )}'''
						)
						raise TypeError(SCREAMING_SNAKE_CASE_     )
			lowerCAmelCase__      :      int         =		(angle % 360) / 450 * 180 / math.pi
			if axis == "z":
						lowerCAmelCase__      :      Tuple         =		x * math.cos(SCREAMING_SNAKE_CASE_     ) - y * math.sin(SCREAMING_SNAKE_CASE_     )
						lowerCAmelCase__      :      List[str]         =		y * math.cos(SCREAMING_SNAKE_CASE_     ) + x * math.sin(SCREAMING_SNAKE_CASE_     )
						lowerCAmelCase__      :      Optional[int]         =		z
			elif axis == "x":
						lowerCAmelCase__      :      Dict         =		y * math.cos(SCREAMING_SNAKE_CASE_     ) - z * math.sin(SCREAMING_SNAKE_CASE_     )
						lowerCAmelCase__      :      List[str]         =		z * math.cos(SCREAMING_SNAKE_CASE_     ) + y * math.sin(SCREAMING_SNAKE_CASE_     )
						lowerCAmelCase__      :      Tuple         =		x
			elif axis == "y":
						lowerCAmelCase__      :      str         =		x * math.cos(SCREAMING_SNAKE_CASE_     ) - z * math.sin(SCREAMING_SNAKE_CASE_     )
						lowerCAmelCase__      :      Optional[int]         =		z * math.cos(SCREAMING_SNAKE_CASE_     ) + x * math.sin(SCREAMING_SNAKE_CASE_     )
						lowerCAmelCase__      :      List[Any]         =		y
			else:
						raise ValueError('not a valid axis, choose one of \'x\', \'y\', \'z\''     )

			return new_x, new_y, new_z


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					print(F"""{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }""")
					print(F"""{rotate(1.0, 2.0, 3.0, "y", 90.0) = }""")