





'''simple docstring'''


from __future__ import annotations

import math

a__			:					int       						=						'2020.9.26'
a__			:					Optional[Any]       						=						'xcodz-dot, cclaus, dhruvmanila'
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			float )							->     tuple[float, float]:

       """simple docstring"""


       if not all(isinstance(SCREAMING_SNAKE_CASE_			,	(float, int) ) for val in locals().values() ):
              UpperCAmelCase  =						f"Input values must either be float or int: {list(locals().values() )}"
              raise TypeError(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase  =						((x * distance) / (z + distance)) * scale
       UpperCAmelCase  =						((y * distance) / (z + distance)) * scale
       return projected_x, projected_y
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			float			,	SCREAMING_SNAKE_CASE_ :			str			,	SCREAMING_SNAKE_CASE_ :			float )							->     tuple[float, float, float]:

       """simple docstring"""


       if not isinstance(SCREAMING_SNAKE_CASE_			,	SCREAMING_SNAKE_CASE_ ):
              raise TypeError('''Axis must be a str''' )
       UpperCAmelCase  =						locals()
       del input_variables["axis"]
       if not all(isinstance(SCREAMING_SNAKE_CASE_			,	(float, int) ) for val in input_variables.values() ):
              UpperCAmelCase  =						(
                  '''Input values except axis must either be float or int: '''
                  f"{list(input_variables.values() )}"
              )
              raise TypeError(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase  =						(angle % 360) / 450 * 180 / math.pi
       if axis == "z":
              UpperCAmelCase  =						x * math.cos(SCREAMING_SNAKE_CASE_ ) - y * math.sin(SCREAMING_SNAKE_CASE_ )
              UpperCAmelCase  =						y * math.cos(SCREAMING_SNAKE_CASE_ ) + x * math.sin(SCREAMING_SNAKE_CASE_ )
              UpperCAmelCase  =						z
       elif axis == "x":
              UpperCAmelCase  =						y * math.cos(SCREAMING_SNAKE_CASE_ ) - z * math.sin(SCREAMING_SNAKE_CASE_ )
              UpperCAmelCase  =						z * math.cos(SCREAMING_SNAKE_CASE_ ) + y * math.sin(SCREAMING_SNAKE_CASE_ )
              UpperCAmelCase  =						x
       elif axis == "y":
              UpperCAmelCase  =						x * math.cos(SCREAMING_SNAKE_CASE_ ) - z * math.sin(SCREAMING_SNAKE_CASE_ )
              UpperCAmelCase  =						z * math.cos(SCREAMING_SNAKE_CASE_ ) + x * math.sin(SCREAMING_SNAKE_CASE_ )
              UpperCAmelCase  =						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) = }""")





"""simple docstring"""

import argparse
import json
import os
import sys
import tempfile
import unittest
from argparse import Namespace
from dataclasses import dataclass, field
from enum import Enum
from pathlib import Path
from typing import List, Literal, Optional

import yaml

from transformers import HfArgumentParser, TrainingArguments
from transformers.hf_argparser import make_choice_type_function, string_to_bool


# Since Python 3.10, we can use the builtin `|` operator for Union types
# See PEP 604: https://peps.python.org/pep-0604
_UpperCamelCase		     =    sys.version_info >= (3, 1_0)



def       SCREAMING_SNAKE_CASE							( lowercase__=None					,					lowercase__=None   )			->						List[Any]:
 return field(default_factory=lambda: default					,					metadata=lowercase__   )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      int
       __UpperCamelCase					:      float
       __UpperCamelCase					:      str
       __UpperCamelCase					:      bool






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      int    =						42
       __UpperCamelCase					:      str    =						field(default='toto'       ,	metadata={'help': 'help message'}       )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      bool    =						False
       __UpperCamelCase					:      bool    =						True
       __UpperCamelCase					:      Optional[bool]    =						None






class 			__a					(						__magic_name__       ):





       """simple docstring"""


       __UpperCamelCase					:      List[str]    =						'titi'
       __UpperCamelCase					:      Tuple    =						'toto'






class 			__a					(						__magic_name__       ):





       """simple docstring"""


       __UpperCamelCase					:      Tuple    =						'titi'
       __UpperCamelCase					:      List[Any]    =						'toto'
       __UpperCamelCase					:      List[str]    =						42






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      BasicEnum    =						"toto"






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Optional[int] 			=				BasicEnum(self.foo   )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      MixedTypeEnum    =						"toto"






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				List[str] 			=				MixedTypeEnum(self.foo   )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      Optional[int]    =						None
       __UpperCamelCase					:      Optional[float]    =						field(default=__magic_name__       ,	metadata={'help': 'help message'}       )
       __UpperCamelCase					:      Optional[str]    =						None
       __UpperCamelCase					:      Optional[List[str]]    =						list_field(default=[]       )
       __UpperCamelCase					:      Optional[List[int]]    =						list_field(default=[]       )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      List[int]    =						list_field(default=[]       )
       __UpperCamelCase					:      List[int]    =						list_field(default=[1, 2, 3]       )
       __UpperCamelCase					:      List[str]    =						list_field(default=['Hallo', 'Bonjour', 'Hello']       )
       __UpperCamelCase					:      List[float]    =						list_field(default=[0.1, 0.2, 0.3]       )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      List[int]    =						field()
       __UpperCamelCase					:      str    =						field()
       __UpperCamelCase					:      BasicEnum    =						field()






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Optional[Any] 			=				BasicEnum(self.required_enum   )






@dataclass
class 			__a					:





       """simple docstring"""


       __UpperCamelCase					:      int
       __UpperCamelCase					:      "BasicEnum"    =						field()
       __UpperCamelCase					:      "Optional[bool]"    =						None
       __UpperCamelCase					:      "str"    =						field(default='toto'       ,	metadata={'help': 'help message'}       )
       __UpperCamelCase					:      "List[str]"    =						list_field(default=['Hallo', 'Bonjour', 'Hello']       )


if is_python_no_less_than_3_10:






    @dataclass
    class 			__a					:





           """simple docstring"""


           __UpperCamelCase					:      bool    =						False
           __UpperCamelCase					:      bool    =						True
           __UpperCamelCase					:      bool | None    =						None






    @dataclass
    class 			__a					:





           """simple docstring"""


           __UpperCamelCase					:      int | None    =						None
           __UpperCamelCase					:      float | None    =						field(default=__magic_name__       ,	metadata={'help': 'help message'}       )
           __UpperCamelCase					:      str | None    =						None
           __UpperCamelCase					:      list[str] | None    =						list_field(default=[]       )
           __UpperCamelCase					:      list[int] | None    =						list_field(default=[]       )






class 			__a					(						unittest.TestCase       ):





       """simple docstring"""


       def 			SCREAMING_SNAKE_CASE_	(   self			,					snake_case			,					snake_case   ):





        """simple docstring"""

        self.assertEqual(len(a._actions   )			,					len(b._actions   )   )
        for x, y in zip(a._actions			,					b._actions   ):
         lowerCAmelCase__   :				Union[str, Any] 			=				{k: v for k, v in vars(snake_case   ).items() if k != "container"}
         lowerCAmelCase__   :				Union[str, Any] 			=				{k: v for k, v in vars(snake_case   ).items() if k != "container"}

         # Choices with mixed type have custom function as "type"
         # So we need to compare results directly for equality
         if xx.get("choices"			,					snake_case   ) and yy.get("choices"			,					snake_case   ):
          for expected_choice in yy["choices"] + xx["choices"]:
           self.assertEqual(xx["type"](snake_case   )			,					yy["type"](snake_case   )   )
          del xx["type"], yy["type"]

         self.assertEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Union[str, Any] 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Optional[int] 			=				argparse.ArgumentParser()
        expected.add_argument("--foo"			,					type=snake_case			,					required=snake_case   )
        expected.add_argument("--bar"			,					type=snake_case			,					required=snake_case   )
        expected.add_argument("--baz"			,					type=snake_case			,					required=snake_case   )
        expected.add_argument("--flag"			,					type=snake_case			,					default=snake_case			,					const=snake_case			,					nargs="?"   )
        self.argparsersEqual(snake_case			,					snake_case   )

        lowerCAmelCase__   :				List[Any] 			=				["--foo", "1", "--baz", "quux", "--bar", "0.5"]
        ((lowerCAmelCase__)			,						)   :				Dict 			=				parser.parse_args_into_dataclasses(snake_case			,					look_for_args_file=snake_case   )
        self.assertFalse(example.flag   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Tuple 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Optional[int] 			=				argparse.ArgumentParser()
        expected.add_argument("--foo"			,					default=42			,					type=snake_case   )
        expected.add_argument("--baz"			,					default="toto"			,					type=snake_case			,					help="help message"   )
        self.argparsersEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Optional[Any] 			=				argparse.ArgumentParser()
        expected.add_argument("--foo"			,					type=snake_case			,					default=snake_case			,					const=snake_case			,					nargs="?"   )
        expected.add_argument("--baz"			,					type=snake_case			,					default=snake_case			,					const=snake_case			,					nargs="?"   )
        # A boolean no_* argument always has to come after its "default: True" regular counter-part
        # and its default must be set to False
        expected.add_argument("--no_baz"			,					action="store_false"			,					default=snake_case			,					dest="baz"   )
        expected.add_argument("--opt"			,					type=snake_case			,					default=snake_case   )

        lowerCAmelCase__   :				Optional[Any] 			=				[WithDefaultBoolExample]
        if is_python_no_less_than_3_10:
         dataclass_types.append(snake_case   )

        for dataclass_type in dataclass_types:
         lowerCAmelCase__   :				Optional[Any] 			=				HfArgumentParser(snake_case   )
         self.argparsersEqual(snake_case			,					snake_case   )

         lowerCAmelCase__   :				Union[str, Any] 			=				parser.parse_args([]   )
         self.assertEqual(snake_case			,					Namespace(foo=snake_case			,					baz=snake_case			,					opt=snake_case   )   )

         lowerCAmelCase__   :				List[str] 			=				parser.parse_args(["--foo", "--no_baz"]   )
         self.assertEqual(snake_case			,					Namespace(foo=snake_case			,					baz=snake_case			,					opt=snake_case   )   )

         lowerCAmelCase__   :				Optional[Any] 			=				parser.parse_args(["--foo", "--baz"]   )
         self.assertEqual(snake_case			,					Namespace(foo=snake_case			,					baz=snake_case			,					opt=snake_case   )   )

         lowerCAmelCase__   :				List[Any] 			=				parser.parse_args(["--foo", "True", "--baz", "True", "--opt", "True"]   )
         self.assertEqual(snake_case			,					Namespace(foo=snake_case			,					baz=snake_case			,					opt=snake_case   )   )

         lowerCAmelCase__   :				Optional[int] 			=				parser.parse_args(["--foo", "False", "--baz", "False", "--opt", "False"]   )
         self.assertEqual(snake_case			,					Namespace(foo=snake_case			,					baz=snake_case			,					opt=snake_case   )   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Tuple 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Optional[Any] 			=				argparse.ArgumentParser()
        expected.add_argument(
            "--foo"			,					default="toto"			,					choices=["titi", "toto", 42]			,					type=make_choice_type_function(["titi", "toto", 42]   )			,					)
        self.argparsersEqual(snake_case			,					snake_case   )

        lowerCAmelCase__   :				Union[str, Any] 			=				parser.parse_args([]   )
        self.assertEqual(args.foo			,					"toto"   )
        lowerCAmelCase__   :				List[str] 			=				parser.parse_args_into_dataclasses([]   )[0]
        self.assertEqual(enum_ex.foo			,					MixedTypeEnum.toto   )

        lowerCAmelCase__   :				List[Any] 			=				parser.parse_args(["--foo", "titi"]   )
        self.assertEqual(args.foo			,					"titi"   )
        lowerCAmelCase__   :				Any 			=				parser.parse_args_into_dataclasses(["--foo", "titi"]   )[0]
        self.assertEqual(enum_ex.foo			,					MixedTypeEnum.titi   )

        lowerCAmelCase__   :				Tuple 			=				parser.parse_args(["--foo", "42"]   )
        self.assertEqual(args.foo			,					42   )
        lowerCAmelCase__   :				Tuple 			=				parser.parse_args_into_dataclasses(["--foo", "42"]   )[0]
        self.assertEqual(enum_ex.foo			,					MixedTypeEnum.fourtytwo   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        @dataclass
        class 			__a					:





               """simple docstring"""


               __UpperCamelCase					:      Literal["titi", "toto", 42]    =						"toto"




        lowerCAmelCase__   :				Dict 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Dict 			=				argparse.ArgumentParser()
        expected.add_argument(
            "--foo"			,					default="toto"			,					choices=("titi", "toto", 42)			,					type=make_choice_type_function(["titi", "toto", 42]   )			,					)
        self.argparsersEqual(snake_case			,					snake_case   )

        lowerCAmelCase__   :				int 			=				parser.parse_args([]   )
        self.assertEqual(args.foo			,					"toto"   )

        lowerCAmelCase__   :				Optional[int] 			=				parser.parse_args(["--foo", "titi"]   )
        self.assertEqual(args.foo			,					"titi"   )

        lowerCAmelCase__   :				int 			=				parser.parse_args(["--foo", "42"]   )
        self.assertEqual(args.foo			,					42   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				str 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Union[str, Any] 			=				argparse.ArgumentParser()
        expected.add_argument("--foo_int"			,					nargs="+"			,					default=[]			,					type=snake_case   )
        expected.add_argument("--bar_int"			,					nargs="+"			,					default=[1, 2, 3]			,					type=snake_case   )
        expected.add_argument("--foo_str"			,					nargs="+"			,					default=["Hallo", "Bonjour", "Hello"]			,					type=snake_case   )
        expected.add_argument("--foo_float"			,					nargs="+"			,					default=[0.1, 0.2, 0.3]			,					type=snake_case   )

        self.argparsersEqual(snake_case			,					snake_case   )

        lowerCAmelCase__   :				Tuple 			=				parser.parse_args([]   )
        self.assertEqual(
            snake_case			,					Namespace(foo_int=[]			,					bar_int=[1, 2, 3]			,					foo_str=["Hallo", "Bonjour", "Hello"]			,					foo_float=[0.1, 0.2, 0.3]   )			,					)

        lowerCAmelCase__   :				List[Any] 			=				parser.parse_args("--foo_int 1 --bar_int 2 3 --foo_str a b c --foo_float 0.1 0.7".split()   )
        self.assertEqual(snake_case			,					Namespace(foo_int=[1]			,					bar_int=[2, 3]			,					foo_str=["a", "b", "c"]			,					foo_float=[0.1, 0.7]   )   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Dict 			=				argparse.ArgumentParser()
        expected.add_argument("--foo"			,					default=snake_case			,					type=snake_case   )
        expected.add_argument("--bar"			,					default=snake_case			,					type=snake_case			,					help="help message"   )
        expected.add_argument("--baz"			,					default=snake_case			,					type=snake_case   )
        expected.add_argument("--ces"			,					nargs="+"			,					default=[]			,					type=snake_case   )
        expected.add_argument("--des"			,					nargs="+"			,					default=[]			,					type=snake_case   )

        lowerCAmelCase__   :				Optional[Any] 			=				[OptionalExample]
        if is_python_no_less_than_3_10:
         dataclass_types.append(snake_case   )

        for dataclass_type in dataclass_types:
         lowerCAmelCase__   :				Tuple 			=				HfArgumentParser(snake_case   )

         self.argparsersEqual(snake_case			,					snake_case   )

         lowerCAmelCase__   :				Any 			=				parser.parse_args([]   )
         self.assertEqual(snake_case			,					Namespace(foo=snake_case			,					bar=snake_case			,					baz=snake_case			,					ces=[]			,					des=[]   )   )

         lowerCAmelCase__   :				List[str] 			=				parser.parse_args("--foo 12 --bar 3.14 --baz 42 --ces a b c --des 1 2 3".split()   )
         self.assertEqual(snake_case			,					Namespace(foo=12			,					bar=3.14			,					baz="42"			,					ces=["a", "b", "c"]			,					des=[1, 2, 3]   )   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Optional[Any] 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				List[Any] 			=				argparse.ArgumentParser()
        expected.add_argument("--required_list"			,					nargs="+"			,					type=snake_case			,					required=snake_case   )
        expected.add_argument("--required_str"			,					type=snake_case			,					required=snake_case   )
        expected.add_argument(
            "--required_enum"			,					type=make_choice_type_function(["titi", "toto"]   )			,					choices=["titi", "toto"]			,					required=snake_case			,					)
        self.argparsersEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Dict 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Optional[Any] 			=				argparse.ArgumentParser()
        expected.add_argument("--foo"			,					type=snake_case			,					required=snake_case   )
        expected.add_argument(
            "--required_enum"			,					type=make_choice_type_function(["titi", "toto"]   )			,					choices=["titi", "toto"]			,					required=snake_case			,					)
        expected.add_argument("--opt"			,					type=snake_case			,					default=snake_case   )
        expected.add_argument("--baz"			,					default="toto"			,					type=snake_case			,					help="help message"   )
        expected.add_argument("--foo_str"			,					nargs="+"			,					default=["Hallo", "Bonjour", "Hello"]			,					type=snake_case   )
        self.argparsersEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Any 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				List[Any] 			=				{
            "foo": 12,
            "bar": 3.14,
            "baz": "42",
            "flag": True,
        }

        lowerCAmelCase__   :				Tuple 			=				parser.parse_dict(snake_case   )[0]
        lowerCAmelCase__   :				Any 			=				BasicExample(**snake_case   )
        self.assertEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Union[str, Any] 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				List[Any] 			=				{
            "foo": 12,
            "bar": 3.14,
            "baz": "42",
            "flag": True,
            "extra": 42,
        }

        self.assertRaises(snake_case			,					parser.parse_dict			,					snake_case			,					allow_extra_keys=snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Union[str, Any] 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				Optional[Any] 			=				{
            "foo": 12,
            "bar": 3.14,
            "baz": "42",
            "flag": True,
        }
        with tempfile.TemporaryDirectory() as tmp_dir:
         lowerCAmelCase__   :				int 			=				os.path.join(snake_case			,					"temp_json"   )
         os.mkdir(snake_case   )
         with open(temp_local_path + ".json"			,					"w+"   ) as f:
          json.dump(snake_case			,					snake_case   )
         lowerCAmelCase__   :				Any 			=				parser.parse_yaml_file(Path(temp_local_path + ".json"   )   )[0]

        lowerCAmelCase__   :				str 			=				BasicExample(**snake_case   )
        self.assertEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				str 			=				HfArgumentParser(snake_case   )

        lowerCAmelCase__   :				int 			=				{
            "foo": 12,
            "bar": 3.14,
            "baz": "42",
            "flag": True,
        }
        with tempfile.TemporaryDirectory() as tmp_dir:
         lowerCAmelCase__   :				Optional[Any] 			=				os.path.join(snake_case			,					"temp_yaml"   )
         os.mkdir(snake_case   )
         with open(temp_local_path + ".yaml"			,					"w+"   ) as f:
          yaml.dump(snake_case			,					snake_case   )
         lowerCAmelCase__   :				Dict 			=				parser.parse_yaml_file(Path(temp_local_path + ".yaml"   )   )[0]
        lowerCAmelCase__   :				int 			=				BasicExample(**snake_case   )
        self.assertEqual(snake_case			,					snake_case   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				Union[str, Any] 			=				HfArgumentParser(snake_case   )
        self.assertIsNotNone(snake_case   )






