'''simple docstring'''




import inspect
import unittest

from transformers import ConvNextVaConfig
from transformers.models.auto import get_values
from transformers.models.auto.modeling_auto import MODEL_FOR_BACKBONE_MAPPING_NAMES, MODEL_MAPPING_NAMES
from transformers.testing_utils import require_torch, require_vision, slow, torch_device
from transformers.utils import cached_property, is_torch_available, is_vision_available

from ...test_configuration_common import ConfigTester
from ...test_modeling_common import ModelTesterMixin, floats_tensor, ids_tensor
from ...test_pipeline_mixin import PipelineTesterMixin


if is_torch_available():
 import torch

 from transformers import ConvNextVaBackbone, ConvNextVaForImageClassification, ConvNextVaModel
 from transformers.models.convnextva.modeling_convnextva import CONVNEXTV2_PRETRAINED_MODEL_ARCHIVE_LIST


if is_vision_available():
 from PIL import Image

 from transformers import AutoImageProcessor


class       UpperCAmelCase__  :






   """simple docstring"""
   def __init__(self       ,				_a       ,				_a=13       ,				_a=32       ,				_a=3       ,				_a=4       ,				_a=[10, 20, 30, 40]       ,				_a=[2, 2, 3, 2]       ,				_a=True       ,				_a=True       ,				_a=37       ,				_a="gelu"       ,				_a=10       ,				_a=0.02       ,				_a=["stage2", "stage3", "stage4"]       ,				_a=[2, 3, 4]       ,				_a=None       ,				)    ->     List[str]:
        lowercase_					:       Optional[int]     				=					parent
        lowercase_					:       int     				=					batch_size
        lowercase_					:       Union[str, Any]     				=					image_size
        lowercase_					:       Optional[Any]     				=					num_channels
        lowercase_					:       Any     				=					num_stages
        lowercase_					:       Optional[Any]     				=					hidden_sizes
        lowercase_					:       Any     				=					depths
        lowercase_					:       Tuple     				=					is_training
        lowercase_					:       int     				=					use_labels
        lowercase_					:       Tuple     				=					intermediate_size
        lowercase_					:       Any     				=					hidden_act
        lowercase_					:       Union[str, Any]     				=					num_labels
        lowercase_					:       Union[str, Any]     				=					initializer_range
        lowercase_					:       Optional[Any]     				=					out_features
        lowercase_					:       str     				=					out_indices
        lowercase_					:       Dict     				=					scope
   def 		_lowerCamelCase (self				)    ->     Any:
        lowercase_					:       Optional[Any]     				=					floats_tensor([self.batch_size, self.num_channels, self.image_size, self.image_size]				)

        lowercase_					:       int     				=					None
        if self.use_labels:
             lowercase_					:       Any     				=					ids_tensor([self.batch_size]       ,				self.num_labels				)

        lowercase_					:       str     				=					self.get_config()

        return config, pixel_values, labels
   def 		_lowerCamelCase (self				)    ->     Optional[Any]:
        return ConvNextVaConfig(
            num_channels=self.num_channels       ,				hidden_sizes=self.hidden_sizes       ,				depths=self.depths       ,				num_stages=self.num_stages       ,				hidden_act=self.hidden_act       ,				is_decoder=_a       ,				initializer_range=self.initializer_range       ,				out_features=self.out_features       ,				out_indices=self.out_indices       ,				num_labels=self.num_labels       ,				)
   def 		_lowerCamelCase (self       ,				_a       ,				_a       ,				_a				)    ->     Tuple:
        lowercase_					:       Optional[int]     				=					ConvNextVaModel(config=_a				)
        model.to(_a				)
        model.eval()
        lowercase_					:       List[Any]     				=					model(_a				)
        # expected last hidden states: B, C, H // 32, W // 32
        self.parent.assertEqual(
            result.last_hidden_state.shape       ,				(self.batch_size, self.hidden_sizes[-1], self.image_size // 32, self.image_size // 32)       ,				)
   def 		_lowerCamelCase (self       ,				_a       ,				_a       ,				_a				)    ->     Any:
        lowercase_					:       int     				=					ConvNextVaForImageClassification(_a				)
        model.to(_a				)
        model.eval()
        lowercase_					:       Dict     				=					model(_a       ,				labels=_a				)
        self.parent.assertEqual(result.logits.shape       ,				(self.batch_size, self.num_labels)				)
   def 		_lowerCamelCase (self       ,				_a       ,				_a       ,				_a				)    ->     Optional[Any]:
        lowercase_					:       Any     				=					ConvNextVaBackbone(config=_a				)
        model.to(_a				)
        model.eval()
        lowercase_					:       Union[str, Any]     				=					model(_a				)

        # verify hidden states
        self.parent.assertEqual(len(result.feature_maps				)       ,				len(config.out_features				)				)
        self.parent.assertListEqual(list(result.feature_maps[0].shape				)       ,				[self.batch_size, self.hidden_sizes[1], 4, 4]				)

        # verify channels
        self.parent.assertEqual(len(model.channels				)       ,				len(config.out_features				)				)
        self.parent.assertListEqual(model.channels       ,				config.hidden_sizes[1:]				)

        # verify backbone works with out_features=None
        lowercase_					:       int     				=					None
        lowercase_					:       List[str]     				=					ConvNextVaBackbone(config=_a				)
        model.to(_a				)
        model.eval()
        lowercase_					:       Union[str, Any]     				=					model(_a				)

        # verify feature maps
        self.parent.assertEqual(len(result.feature_maps				)       ,				1				)
        self.parent.assertListEqual(list(result.feature_maps[0].shape				)       ,				[self.batch_size, self.hidden_sizes[-1], 1, 1]				)

        # verify channels
        self.parent.assertEqual(len(model.channels				)       ,				1				)
        self.parent.assertListEqual(model.channels       ,				[config.hidden_sizes[-1]]				)
   def 		_lowerCamelCase (self				)    ->     Union[str, Any]:
        lowercase_					:       Union[str, Any]     				=					self.prepare_config_and_inputs()
        lowercase_				,lowercase_				,lowercase_					:       str     				=					config_and_inputs
        lowercase_					:       Optional[int]     				=					{'pixel_values': pixel_values}
        return config, inputs_dict





   def 		_lowerCamelCase (self				)    ->     Optional[int]:
        lowercase_					:       Optional[Any]     				=					self.prepare_config_and_inputs()
        lowercase_				,lowercase_				,lowercase_					:       Optional[Any]     				=					config_and_inputs
        lowercase_					:       Dict     				=					{'pixel_values': pixel_values, 'labels': labels}
        return config, inputs_dict



@require_torch
class       UpperCAmelCase__  (       _snake_case					,     _snake_case					,     unittest.TestCase			):






   """simple docstring"""
   A							:       List[str]     =    (
       (
           ConvNextVaModel,
           ConvNextVaForImageClassification,
           ConvNextVaBackbone,
       )
       if is_torch_available()
       else ()
   )
   A							:       Optional[int]     =    (
       {'''feature-extraction''': ConvNextVaModel, '''image-classification''': ConvNextVaForImageClassification}
       if is_torch_available()
       else {}
   )

   A							:       Optional[int]     =    False
   A							:       str     =    False
   A							:       int     =    False
   A							:       Dict     =    False
   A							:       Optional[int]     =    False
   def 		_lowerCamelCase (self				)    ->     Optional[Any]:
        lowercase_					:       Dict     				=					ConvNextVaModelTester(self				)
        lowercase_					:       List[str]     				=					ConfigTester(self       ,				config_class=_a       ,				has_text_modality=_a       ,				hidden_size=37				)
   def 		_lowerCamelCase (self				)    ->     int:
        self.create_and_test_config_common_properties()
        self.config_tester.create_and_test_config_to_json_string()
        self.config_tester.create_and_test_config_to_json_file()
        self.config_tester.create_and_test_config_from_and_save_pretrained()
        self.config_tester.create_and_test_config_with_num_labels()
        self.config_tester.check_config_can_be_init_without_params()
        self.config_tester.check_config_arguments_init()
   def 		_lowerCamelCase (self				)    ->     List[Any]:
        return
   @unittest.skip(reason='ConvNextV2 does not use inputs_embeds'				)
   def 		_lowerCamelCase (self				)    ->     Optional[Any]:
        pass
   @unittest.skip(reason='ConvNextV2 does not support input and output embeddings'				)
   def 		_lowerCamelCase (self				)    ->     Tuple:
        pass
   @unittest.skip(reason='ConvNextV2 does not use feedforward chunking'				)
   def 		_lowerCamelCase (self				)    ->     List[Any]:
        pass
   def 		_lowerCamelCase (self				)    ->     List[Any]:
        if not self.model_tester.is_training:
             return

        for model_class in self.all_model_classes:
             lowercase_				,lowercase_					:       List[Any]     				=					self.model_tester.prepare_config_and_inputs_with_labels()
             lowercase_					:       Dict     				=					True

             if model_class.__name__ in [
                 *get_values(_a				),
                 *get_values(_a				),
             ]:
                  continue

             lowercase_					:       str     				=					model_class(_a				)
             model.to(_a				)
             model.train()
             lowercase_					:       Tuple     				=					self._prepare_for_class(_a       ,				_a       ,				return_labels=_a				)
             lowercase_					:       List[Any]     				=					model(**_a				).loss
             loss.backward()
   def 		_lowerCamelCase (self				)    ->     Optional[int]:
        if not self.model_tester.is_training:
             return

        for model_class in self.all_model_classes:
             lowercase_				,lowercase_					:       Optional[Any]     				=					self.model_tester.prepare_config_and_inputs_with_labels()
             lowercase_					:       Optional[int]     				=					False
             lowercase_					:       Union[str, Any]     				=					True

             if (
                 model_class.__name__
                 in [*get_values(_a				), *get_values(_a				)]
                 or not model_class.supports_gradient_checkpointing
             ):
                  continue

             lowercase_					:       Union[str, Any]     				=					model_class(_a				)
             model.to(_a				)
             model.gradient_checkpointing_enable()
             model.train()
             lowercase_					:       List[Any]     				=					self._prepare_for_class(_a       ,				_a       ,				return_labels=_a				)
             lowercase_					:       Optional[int]     				=					model(**_a				).loss
             loss.backward()
   def 		_lowerCamelCase (self				)    ->     Optional[int]:
        lowercase_				,lowercase_					:       int     				=					self.model_tester.prepare_config_and_inputs_for_common()

        for model_class in self.all_model_classes:
             lowercase_					:       Any     				=					model_class(_a				)
             lowercase_					:       Any     				=					inspect.signature(model.forward				)
             # signature.parameters is an OrderedDict => so arg_names order is deterministic
             lowercase_					:       int     				=					[*signature.parameters.keys()]

             lowercase_					:       List[str]     				=					['pixel_values']
             self.assertListEqual(arg_names[:1]       ,				_a				)
   def 		_lowerCamelCase (self				)    ->     List[Any]:
        lowercase_					:       List[Any]     				=					self.model_tester.prepare_config_and_inputs()
        self.model_tester.create_and_check_model(*_a				)
   def 		_lowerCamelCase (self				)    ->     Any:
        def check_hidden_states_output(_a       ,				_a       ,				_a				):
             lowercase_					:       Tuple     				=					model_class(_a				)
             model.to(_a				)
             model.eval()

             with torch.no_grad():
                  lowercase_					:       str     				=					model(**self._prepare_for_class(_a       ,				_a				)				)

             lowercase_					:       str     				=					outputs.encoder_hidden_states if config.is_encoder_decoder else outputs.hidden_states

             lowercase_					:       Optional[int]     				=					self.model_tester.num_stages
             self.assertEqual(len(_a				)       ,				expected_num_stages + 1				)

             # ConvNextV2's feature maps are of shape (batch_size, num_channels, height, width)
             self.assertListEqual(
                 list(hidden_states[0].shape[-2:]				)       ,				[self.model_tester.image_size // 4, self.model_tester.image_size // 4]       ,				)

        lowercase_				,lowercase_					:       Optional[int]     				=					self.model_tester.prepare_config_and_inputs_for_common()

        for model_class in self.all_model_classes:
             lowercase_					:       Optional[Any]     				=					True
             check_hidden_states_output(_a       ,				_a       ,				_a				)

             # check that output_hidden_states also work using config
             del inputs_dict["output_hidden_states"]
             lowercase_					:       int     				=					True

             check_hidden_states_output(_a       ,				_a       ,				_a				)
   def 		_lowerCamelCase (self				)    ->     int:
        lowercase_					:       Dict     				=					self.model_tester.prepare_config_and_inputs()
        self.model_tester.create_and_check_for_image_classification(*_a				)





   @slow
   def 		_lowerCamelCase (self				)    ->     Any:
        for model_name in CONVNEXTV2_PRETRAINED_MODEL_ARCHIVE_LIST[:1]:
             lowercase_					:       Optional[int]     				=					ConvNextVaModel.from_pretrained(_a				)
             self.assertIsNotNone(_a				)



def _UpperCamelCase   (       ):
     lowercase_					:       Union[str, Any]     				=					Image.open('./tests/fixtures/tests_samples/COCO/000000039769.png'							)
     return image






@require_torch
@require_vision
class       UpperCAmelCase__  (       unittest.TestCase			):






   """simple docstring"""
   @cached_property
   def 		_lowerCamelCase (self				)    ->     str:
        return AutoImageProcessor.from_pretrained('facebook/convnextv2-tiny-1k-224'				) if is_vision_available() else None





   @slow
   def 		_lowerCamelCase (self				)    ->     int:
        lowercase_					:       List[Any]     				=					ConvNextVaForImageClassification.from_pretrained('facebook/convnextv2-tiny-1k-224'				).to(_a				)

        lowercase_					:       Any     				=					self.default_image_processor
        lowercase_					:       Union[str, Any]     				=					prepare_img()
        lowercase_					:       List[str]     				=					preprocessor(images=_a       ,				return_tensors='pt'				).to(_a				)

        # forward pass
        with torch.no_grad():
             lowercase_					:       List[Any]     				=					model(**_a				)

        # verify the logits
        lowercase_					:       str     				=					torch.Size((1, 1_000)				)
        self.assertEqual(outputs.logits.shape       ,				_a				)

        lowercase_					:       Tuple     				=					torch.tensor([0.99_96, 0.19_66, -0.43_86]				).to(_a				)
        self.assertTrue(torch.allclose(outputs.logits[0, :3]       ,				_a       ,				atol=1e-4				)				)





'''simple docstring'''




from decimal import Decimal, getcontext
from math import ceil, factorial

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):

     if not isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
          raise TypeError('Undefined for non-integers'							)
     elif precision < 1:
          raise ValueError('Undefined for non-natural numbers'							)

     lowercase_					:       str     				=					precision
     lowercase_					:       List[str]     				=					ceil(precision / 14							)
     lowercase_					:       Union[str, Any]     				=					426_880 * Decimal(10_005							).sqrt()
     lowercase_					:       List[Any]     				=					1
     lowercase_					:       Optional[int]     				=					13_591_409
     lowercase_					:       Dict     				=					Decimal(SCREAMING_SNAKE_CASE_							)
     for k in range(1  ,       SCREAMING_SNAKE_CASE_							):
          lowercase_					:       List[str]     				=					factorial(6 * k							) // (factorial(3 * k							) * factorial(SCREAMING_SNAKE_CASE_							) ** 3)
          linear_term += 545_140_134
          exponential_term *= -262_537_412_640_768_000
          partial_sum += Decimal(multinomial_term * linear_term							) / exponential_term
     return str(constant_term / partial_sum							)[:-1]


if __name__ == "__main__":
 _A								=   5_0
 print(F"""The first {n} digits of pi is: {pi(n)}""")




