





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
SCREAMING_SNAKE_CASE__		:					Optional[int]						=					sys.version_info >= (3, 10)







def     _a				(      lowercase__  :			Any=None     ,  lowercase__  :			Tuple=None ):







     '''simple docstring'''


     return field(default_factory=lambda: default     ,  metadata=lowercase__ )

@dataclass
class       snake_case					:
  lowercase_			=     42
  lowercase_			=     42
  lowercase_			=     42
  lowercase_			=     42




@dataclass
class       snake_case					:
  lowercase_			=     42
  lowercase_			=     field(default='toto'   ,						metadata={'help': 'help message'}						)




@dataclass
class       snake_case					:
  lowercase_			=     False
  lowercase_			=     True
  lowercase_			=     None




class       snake_case					(      UpperCamelCase_						):
  lowercase_			=     'titi'
  lowercase_			=     'toto'




class       snake_case					(      UpperCamelCase_						):
  lowercase_			=     'titi'
  lowercase_			=     'toto'
  lowercase_			=     42




@dataclass
class       snake_case					:
  lowercase_			=     'toto'




  def 	__lowercase(      self     :	List[str]				)->       str:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Tuple			=		BasicEnum(self.foo				)




@dataclass
class       snake_case					:
  lowercase_			=     'toto'




  def 	__lowercase(      self     :	Any				)->       Union[str, Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				int			=		MixedTypeEnum(self.foo				)




@dataclass
class       snake_case					:
  lowercase_			=     None
  lowercase_			=     field(default=UpperCamelCase_   ,						metadata={'help': 'help message'}						)
  lowercase_			=     None
  lowercase_			=     list_field(default=[]						)
  lowercase_			=     list_field(default=[]						)




@dataclass
class       snake_case					:
  lowercase_			=     list_field(default=[]						)
  lowercase_			=     list_field(default=[1, 2, 3]						)
  lowercase_			=     list_field(default=['Hallo', 'Bonjour', 'Hello']						)
  lowercase_			=     list_field(default=[0.1, 0.2, 0.3]						)




@dataclass
class       snake_case					:
  lowercase_			=     field()
  lowercase_			=     field()
  lowercase_			=     field()




  def 	__lowercase(      self     :	Optional[int]				)->       str:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				int			=		BasicEnum(self.required_enum				)




@dataclass
class       snake_case					:
  lowercase_			=     42
  lowercase_			=     field()
  lowercase_			=     None
  lowercase_			=     field(default='toto'   ,						metadata={'help': 'help message'}						)
  lowercase_			=     list_field(default=['Hallo', 'Bonjour', 'Hello']						)


if is_python_no_less_than_3_10:

      @dataclass
      class       snake_case					:
        lowercase_			=     False
        lowercase_			=     True
        lowercase_			=     None




      @dataclass
      class       snake_case					:
        lowercase_			=     None
        lowercase_			=     field(default=UpperCamelCase_   ,						metadata={'help': 'help message'}						)
        lowercase_			=     None
        lowercase_			=     list_field(default=[]						)
        lowercase_			=     list_field(default=[]						)







class       snake_case					(      unittest.TestCase						):




  def 	__lowercase(      self     :	int     , a_     :	argparse.ArgumentParser     , a_     :	argparse.ArgumentParser				)->       Tuple:




       """simple docstring"""
       self.assertEqual(len(a._actions				)     , len(b._actions				)				)
       for x, y in zip(a._actions     , b._actions				):
            SCREAMING_SNAKE_CASE__				:				List[str]			=		{k: v for k, v in vars(a_				).items() if k != 'container'}
            SCREAMING_SNAKE_CASE__				:				Dict			=		{k: v for k, v in vars(a_				).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'     , a_				) and yy.get('choices'     , a_				):
                 for expected_choice in yy["choices"] + xx["choices"]:
                      self.assertEqual(xx['type'](a_				)     , yy['type'](a_				)				)
                 del xx["type"], yy["type"]

            self.assertEqual(a_     , a_				)




  def 	__lowercase(      self     :	int				)->       List[str]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Dict			=		HfArgumentParser(a_				)

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

       SCREAMING_SNAKE_CASE__				:				List[Any]			=		['--foo', '1', '--baz', 'quux', '--bar', '0.5']
       (SCREAMING_SNAKE_CASE__							)				:				Tuple			=		parser.parse_args_into_dataclasses(a_     , look_for_args_file=a_				)
       self.assertFalse(example.flag				)




  def 	__lowercase(      self     :	Dict				)->       Optional[Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Any			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Dict			=		argparse.ArgumentParser()
       expected.add_argument('--foo'     , default=42     , type=a_				)
       expected.add_argument('--baz'     , default='toto'     , type=a_     , help='help message'				)
       self.argparsersEqual(a_     , a_				)




  def 	__lowercase(      self     :	List[Any]				)->       Optional[Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Any			=		argparse.ArgumentParser()
       expected.add_argument('--foo'     , type=a_     , default=a_     , const=a_     , nargs='?'				)
       expected.add_argument('--baz'     , type=a_     , default=a_     , const=a_     , 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=a_     , dest='baz'				)
       expected.add_argument('--opt'     , type=a_     , default=a_				)

       SCREAMING_SNAKE_CASE__				:				str			=		[WithDefaultBoolExample]
       if is_python_no_less_than_3_10:
            dataclass_types.append(a_				)

       for dataclass_type in dataclass_types:
            SCREAMING_SNAKE_CASE__				:				Union[str, Any]			=		HfArgumentParser(a_				)
            self.argparsersEqual(a_     , a_				)

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

            SCREAMING_SNAKE_CASE__				:				List[Any]			=		parser.parse_args(['--foo', '--no_baz']				)
            self.assertEqual(a_     , Namespace(foo=a_     , baz=a_     , opt=a_				)				)

            SCREAMING_SNAKE_CASE__				:				Dict			=		parser.parse_args(['--foo', '--baz']				)
            self.assertEqual(a_     , Namespace(foo=a_     , baz=a_     , opt=a_				)				)

            SCREAMING_SNAKE_CASE__				:				List[str]			=		parser.parse_args(['--foo', 'True', '--baz', 'True', '--opt', 'True']				)
            self.assertEqual(a_     , Namespace(foo=a_     , baz=a_     , opt=a_				)				)

            SCREAMING_SNAKE_CASE__				:				Dict			=		parser.parse_args(['--foo', 'False', '--baz', 'False', '--opt', 'False']				)
            self.assertEqual(a_     , Namespace(foo=a_     , baz=a_     , opt=a_				)				)




  def 	__lowercase(      self     :	Union[str, Any]				)->       List[Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				List[Any]			=		HfArgumentParser(a_				)

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

       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		parser.parse_args([]				)
       self.assertEqual(args.foo     , 'toto'				)
       SCREAMING_SNAKE_CASE__				:				List[str]			=		parser.parse_args_into_dataclasses([]				)[0]
       self.assertEqual(enum_ex.foo     , MixedTypeEnum.toto				)

       SCREAMING_SNAKE_CASE__				:				Tuple			=		parser.parse_args(['--foo', 'titi']				)
       self.assertEqual(args.foo     , 'titi'				)
       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		parser.parse_args_into_dataclasses(['--foo', 'titi']				)[0]
       self.assertEqual(enum_ex.foo     , MixedTypeEnum.titi				)

       SCREAMING_SNAKE_CASE__				:				str			=		parser.parse_args(['--foo', '42']				)
       self.assertEqual(args.foo     , 42				)
       SCREAMING_SNAKE_CASE__				:				str			=		parser.parse_args_into_dataclasses(['--foo', '42']				)[0]
       self.assertEqual(enum_ex.foo     , MixedTypeEnum.fourtytwo				)




  def 	__lowercase(      self     :	Union[str, Any]				)->       Union[str, Any]:




       """simple docstring"""

       @dataclass
       class       snake_case					:
         lowercase_			=     'toto'




       SCREAMING_SNAKE_CASE__				:				Tuple			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Union[str, Any]			=		argparse.ArgumentParser()
       expected.add_argument(
           '--foo'     , default='toto'     , choices=('titi', 'toto', 42)     , type=make_choice_type_function(['titi', 'toto', 42]				)     , )
       self.argparsersEqual(a_     , a_				)

       SCREAMING_SNAKE_CASE__				:				List[Any]			=		parser.parse_args([]				)
       self.assertEqual(args.foo     , 'toto'				)

       SCREAMING_SNAKE_CASE__				:				int			=		parser.parse_args(['--foo', 'titi']				)
       self.assertEqual(args.foo     , 'titi'				)

       SCREAMING_SNAKE_CASE__				:				List[Any]			=		parser.parse_args(['--foo', '42']				)
       self.assertEqual(args.foo     , 42				)




  def 	__lowercase(      self     :	Any				)->       Optional[int]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Any			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		argparse.ArgumentParser()
       expected.add_argument('--foo_int'     , nargs='+'     , default=[]     , type=a_				)
       expected.add_argument('--bar_int'     , nargs='+'     , default=[1, 2, 3]     , type=a_				)
       expected.add_argument('--foo_str'     , nargs='+'     , default=['Hallo', 'Bonjour', 'Hello']     , type=a_				)
       expected.add_argument('--foo_float'     , nargs='+'     , default=[0.1, 0.2, 0.3]     , type=a_				)

       self.argparsersEqual(a_     , a_				)

       SCREAMING_SNAKE_CASE__				:				int			=		parser.parse_args([]				)
       self.assertEqual(
           a_     , Namespace(foo_int=[]     , bar_int=[1, 2, 3]     , foo_str=['Hallo', 'Bonjour', 'Hello']     , foo_float=[0.1, 0.2, 0.3]				)     , )

       SCREAMING_SNAKE_CASE__				:				Optional[int]			=		parser.parse_args('--foo_int 1 --bar_int 2 3 --foo_str a b c --foo_float 0.1 0.7'.split()				)
       self.assertEqual(a_     , Namespace(foo_int=[1]     , bar_int=[2, 3]     , foo_str=['a', 'b', 'c']     , foo_float=[0.1, 0.7]				)				)




  def 	__lowercase(      self     :	Optional[Any]				)->       Optional[int]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Optional[int]			=		argparse.ArgumentParser()
       expected.add_argument('--foo'     , default=a_     , type=a_				)
       expected.add_argument('--bar'     , default=a_     , type=a_     , help='help message'				)
       expected.add_argument('--baz'     , default=a_     , type=a_				)
       expected.add_argument('--ces'     , nargs='+'     , default=[]     , type=a_				)
       expected.add_argument('--des'     , nargs='+'     , default=[]     , type=a_				)

       SCREAMING_SNAKE_CASE__				:				int			=		[OptionalExample]
       if is_python_no_less_than_3_10:
            dataclass_types.append(a_				)

       for dataclass_type in dataclass_types:
            SCREAMING_SNAKE_CASE__				:				Dict			=		HfArgumentParser(a_				)

            self.argparsersEqual(a_     , a_				)

            SCREAMING_SNAKE_CASE__				:				List[Any]			=		parser.parse_args([]				)
            self.assertEqual(a_     , Namespace(foo=a_     , bar=a_     , baz=a_     , ces=[]     , des=[]				)				)

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




  def 	__lowercase(      self     :	Optional[Any]				)->       List[Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Any			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Dict			=		argparse.ArgumentParser()
       expected.add_argument('--required_list'     , nargs='+'     , type=a_     , required=a_				)
       expected.add_argument('--required_str'     , type=a_     , required=a_				)
       expected.add_argument(
           '--required_enum'     , type=make_choice_type_function(['titi', 'toto']				)     , choices=['titi', 'toto']     , required=a_     , )
       self.argparsersEqual(a_     , a_				)




  def 	__lowercase(      self     :	Any				)->       Dict:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				str			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Tuple			=		argparse.ArgumentParser()
       expected.add_argument('--foo'     , type=a_     , required=a_				)
       expected.add_argument(
           '--required_enum'     , type=make_choice_type_function(['titi', 'toto']				)     , choices=['titi', 'toto']     , required=a_     , )
       expected.add_argument('--opt'     , type=a_     , default=a_				)
       expected.add_argument('--baz'     , default='toto'     , type=a_     , help='help message'				)
       expected.add_argument('--foo_str'     , nargs='+'     , default=['Hallo', 'Bonjour', 'Hello']     , type=a_				)
       self.argparsersEqual(a_     , a_				)




  def 	__lowercase(      self     :	Tuple				)->       Dict:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Union[str, Any]			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Union[str, Any]			=		{
           'foo': 12,
           'bar': 3.14,
           'baz': '42',
           'flag': True,
       }

       SCREAMING_SNAKE_CASE__				:				Tuple			=		parser.parse_dict(a_				)[0]
       SCREAMING_SNAKE_CASE__				:				Dict			=		BasicExample(**a_				)
       self.assertEqual(a_     , a_				)




  def 	__lowercase(      self     :	Any				)->       Dict:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				List[Any]			=		HfArgumentParser(a_				)

       SCREAMING_SNAKE_CASE__				:				Dict			=		{
           'foo': 12,
           'bar': 3.14,
           'baz': '42',
           'flag': True,
           'extra': 42,
       }

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




  def 	__lowercase(      self     :	int				)->       Union[str, Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				int			=		HfArgumentParser(a_				)

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

       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		BasicExample(**a_				)
       self.assertEqual(a_     , a_				)




  def 	__lowercase(      self     :	List[Any]				)->       int:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				int			=		HfArgumentParser(a_				)

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




  def 	__lowercase(      self     :	Tuple				)->       Union[str, Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Tuple			=		HfArgumentParser(a_				)
       self.assertIsNotNone(a_				)




from dataclasses import dataclass
from typing import Tuple

import numpy as np
import torch

@dataclass
class       snake_case					:
  lowercase_			=     42  # [batch_size x 3]
  lowercase_			=     42  # [batch_size x 3]
  lowercase_			=     42  # [batch_size x 3]
  lowercase_			=     42  # [batch_size x 3]
  lowercase_			=     42
  lowercase_			=     42
  lowercase_			=     42
  lowercase_			=     42
  lowercase_			=     42




  def 	__lowercase(      self     :	List[Any]				)->       Union[str, Any]:




       """simple docstring"""
       assert self.x.shape[0] == self.y.shape[0] == self.z.shape[0] == self.origin.shape[0]
       assert self.x.shape[1] == self.y.shape[1] == self.z.shape[1] == self.origin.shape[1] == 3
       assert len(self.x.shape				) == len(self.y.shape				) == len(self.z.shape				) == len(self.origin.shape				) == 2




  def 	__lowercase(      self     :	Dict				)->       Tuple:




       """simple docstring"""
       return torch.from_numpy(np.array([self.width, self.height]     , dtype=np.floataa				)				)




  def 	__lowercase(      self     :	Dict				)->       Union[str, Any]:




       """simple docstring"""
       return torch.from_numpy(np.array([self.x_fov, self.y_fov]     , dtype=np.floataa				)				)




  def 	__lowercase(      self     :	Tuple				)->       torch.Tensor:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				str			=		torch.arange(self.height * self.width				)
       SCREAMING_SNAKE_CASE__				:				List[Any]			=		torch.stack(
           [
               pixel_indices % self.width,
               torch.div(a_     , self.width     , rounding_mode='trunc'				),
           ]     , axis=1     , )
       return coords




  @property
  def 	__lowercase(      self     :	Any				)->       List[Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__			,							*SCREAMING_SNAKE_CASE__				:				Union[str, Any]			=		self.shape
       SCREAMING_SNAKE_CASE__				:				Tuple			=		int(np.prod(a_				)				)

       SCREAMING_SNAKE_CASE__				:				List[str]			=		self.get_image_coords()
       SCREAMING_SNAKE_CASE__				:				Dict			=		torch.broadcast_to(coords.unsqueeze(0				)     , [batch_size * inner_batch_size, *coords.shape]				)
       SCREAMING_SNAKE_CASE__				:				Any			=		self.get_camera_rays(a_				)

       SCREAMING_SNAKE_CASE__				:				Tuple			=		rays.view(a_     , inner_batch_size * self.height * self.width     , 2     , 3				)

       return rays




  def 	__lowercase(      self     :	Optional[Any]     , a_     :	torch.Tensor				)->       torch.Tensor:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__			,							*SCREAMING_SNAKE_CASE__			,							SCREAMING_SNAKE_CASE__				:				Dict			=		coords.shape
       assert n_coords == 2
       assert batch_size == self.origin.shape[0]

       SCREAMING_SNAKE_CASE__				:				str			=		coords.view(a_     , -1     , 2				)

       SCREAMING_SNAKE_CASE__				:				List[Any]			=		self.resolution()
       SCREAMING_SNAKE_CASE__				:				str			=		self.fov()

       SCREAMING_SNAKE_CASE__				:				Any			=		(flat.float() / (res - 1)) * 2 - 1
       SCREAMING_SNAKE_CASE__				:				Any			=		fracs * torch.tan(fov / 2				)

       SCREAMING_SNAKE_CASE__				:				List[str]			=		fracs.view(a_     , -1     , 2				)
       SCREAMING_SNAKE_CASE__				:				str			=		(
           self.z.view(a_     , 1     , 3				)
           + self.x.view(a_     , 1     , 3				) * fracs[:, :, :1]
           + self.y.view(a_     , 1     , 3				) * fracs[:, :, 1:]
       )
       SCREAMING_SNAKE_CASE__				:				Tuple			=		directions / directions.norm(dim=-1     , keepdim=a_				)
       SCREAMING_SNAKE_CASE__				:				Any			=		torch.stack(
           [
               torch.broadcast_to(self.origin.view(a_     , 1     , 3				)     , [batch_size, directions.shape[1], 3]				),
               directions,
           ]     , dim=2     , )
       return rays.view(a_     , *a_     , 2     , 3				)




  def 	__lowercase(      self     :	Optional[int]     , a_     :	int     , a_     :	int				)->       "DifferentiableProjectiveCamera":




       """simple docstring"""
       assert width * self.height == height * self.width, "The aspect ratio should not change."
       return DifferentiableProjectiveCamera(
           origin=self.origin     , x=self.x     , y=self.y     , z=self.z     , width=a_     , height=a_     , x_fov=self.x_fov     , y_fov=self.y_fov     , )







def     _a				(      lowercase__  :			int ):







     '''simple docstring'''


     SCREAMING_SNAKE_CASE__				:				Any			=		[]
     SCREAMING_SNAKE_CASE__				:				List[Any]			=		[]
     SCREAMING_SNAKE_CASE__				:				Optional[int]			=		[]
     SCREAMING_SNAKE_CASE__				:				str			=		[]
     for theta in np.linspace(0     ,  2 * np.pi     ,  num=20 ):
          SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		np.array([np.sin(lowercase__ ), np.cos(lowercase__ ), -0.5] )
          z /= np.sqrt(np.sum(z**2 ) )
          SCREAMING_SNAKE_CASE__				:				Tuple			=		-z * 4
          SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		np.array([np.cos(lowercase__ ), -np.sin(lowercase__ ), 0.0] )
          SCREAMING_SNAKE_CASE__				:				Optional[int]			=		np.cross(lowercase__     ,  lowercase__ )
          origins.append(lowercase__ )
          xs.append(lowercase__ )
          ys.append(lowercase__ )
          zs.append(lowercase__ )
     return DifferentiableProjectiveCamera(
         origin=torch.from_numpy(np.stack(lowercase__     ,  axis=0 ) ).float()     ,  x=torch.from_numpy(np.stack(lowercase__     ,  axis=0 ) ).float()     ,  y=torch.from_numpy(np.stack(lowercase__     ,  axis=0 ) ).float()     ,  z=torch.from_numpy(np.stack(lowercase__     ,  axis=0 ) ).float()     ,  width=lowercase__     ,  height=lowercase__     ,  x_fov=0.7     ,  y_fov=0.7     ,  shape=(1, len(lowercase__ ))     ,  )



