from typing import Any

import numpy as np
def 							lowerCAmelCase(	__lowerCamelCase						):
					assert np.shape(snake_case__						)[0] == np.shape(snake_case__						)[1]

					# If matrix not symmetric, exit right away.
					if np.allclose(snake_case__      ,				matrix.T						) is False:
										return False

					# Get eigenvalues and eignevectors for a symmetric matrix.
					__a					,      __a							=   np.linalg.eigh(snake_case__						)

					# Check sign of all eigenvalues.
					# np.all returns a value of type np.bool_
					return bool(np.all(eigen_values > 0						)						)
def 							lowerCAmelCase(	__lowerCamelCase						):
					__a							=   np.random.randn(snake_case__      ,				snake_case__						)
					__a							=   np.dot(snake_case__      ,				random_matrix.T						)
					assert _is_matrix_spd(snake_case__						)
					return spd_matrix
def 							lowerCAmelCase(	__lowerCamelCase      ,				__lowerCamelCase      ,				__lowerCamelCase = 1000      ,				__lowerCamelCase = 1e-8      ,				):
					assert np.shape(snake_case__						)[0] == np.shape(snake_case__						)[1]
					assert np.shape(snake_case__						)[0] == np.shape(snake_case__						)[0]
					assert _is_matrix_spd(snake_case__						)

					# Initialize solution guess, residual, search direction.
					__a							=   np.zeros((np.shape(snake_case__						)[0], 1)						)
					__a							=   np.copy(snake_case__						)
					__a							=   np.copy(snake_case__						)

					# Set initial errors in solution guess and residual.
					__a							=   1e9
					__a							=   1e9
					__a							=   1e9

					# Set iteration counter to threshold number of iterations.
					__a							=   0

					while error > tol:
										# Save this value so we only calculate the matrix-vector product once.
										__a							=   np.dot(snake_case__      ,				snake_case__						)

										# The main algorithm.

										# Update search direction magnitude.
										__a							=   np.dot(ra.T      ,				snake_case__						) / np.dot(pa.T      ,				snake_case__						)
										# Update solution guess.
										__a							=   xa + alpha * pa
										# Calculate new residual.
										__a							=   ra - alpha * w
										# Calculate new Krylov subspace scale.
										__a							=   np.dot(r.T      ,				snake_case__						) / np.dot(ra.T      ,				snake_case__						)
										# Calculate new A conjuage search direction.
										__a							=   r + beta * pa

										# Calculate errors.
										__a							=   np.linalg.norm(r - ra						)
										__a							=   np.linalg.norm(x - xa						)
										__a							=   np.maximum(snake_case__      ,				snake_case__						)

										# Update variables.
										__a							=   np.copy(snake_case__						)
										__a							=   np.copy(snake_case__						)
										__a							=   np.copy(snake_case__						)

										# Update number of iterations.
										iterations += 1
										if iterations > max_iterations:
															break

					return x
def 							lowerCAmelCase(	):
					__a							=   3
					__a							=   _create_spd_matrix(snake_case__						)
					__a							=   np.random.randn(snake_case__      ,				1						)
					__a							=   np.dot(snake_case__      ,				snake_case__						)

					# Numpy solution.
					__a							=   np.linalg.solve(snake_case__      ,				snake_case__						)

					# Our implementation.
					__a							=   conjugate_gradient(snake_case__      ,				snake_case__						)

					# Ensure both solutions are close to x_true (and therefore one another).
					assert np.linalg.norm(x_numpy - x_true						) <= 1e-6
					assert np.linalg.norm(x_conjugate_gradient - x_true						) <= 1e-6


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	test_conjugate_gradient()







import unittest

import numpy as np

from transformers.testing_utils import require_torch, require_vision
from transformers.utils import is_torch_available, is_vision_available

from ...test_image_processing_common import ImageProcessingSavingTestMixin


if is_torch_available():
 import torch

if is_vision_available():
 from PIL import Image

 from transformers import CLIPImageProcessor



class     lowercase						(       unittest.TestCase					):



 '''simple docstring'''


 def __init__(self       ,       __a       ,       __a=7       ,       __a=3       ,       __a=18       ,       __a=30       ,       __a=400       ,       __a=True       ,       __a=None       ,       __a=True       ,       __a=None       ,       __a=True       ,       __a=[0.48_14_54_66, 0.4_57_82_75, 0.40_82_10_73]       ,       __a=[0.26_86_29_54, 0.26_13_02_58, 0.27_57_77_11]       ,       __a=True       ,       ) ->					Optional[int]:






  """simple docstring"""





  UpperCAmelCase__							=				size if size is not None else {'shortest_edge': 20}
  UpperCAmelCase__							=				crop_size if crop_size is not None else {'height': 18, 'width': 18}
  UpperCAmelCase__							=				parent
  UpperCAmelCase__							=				batch_size
  UpperCAmelCase__							=				num_channels
  UpperCAmelCase__							=				image_size
  UpperCAmelCase__							=				min_resolution
  UpperCAmelCase__							=				max_resolution
  UpperCAmelCase__							=				do_resize
  UpperCAmelCase__							=				size
  UpperCAmelCase__							=				do_center_crop
  UpperCAmelCase__							=				crop_size
  UpperCAmelCase__							=				do_normalize
  UpperCAmelCase__							=				image_mean
  UpperCAmelCase__							=				image_std
  UpperCAmelCase__							=				do_convert_rgb




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






  """simple docstring"""





  return {
      "do_resize": self.do_resize,
      "size": self.size,
      "do_center_crop": self.do_center_crop,
      "crop_size": self.crop_size,
      "do_normalize": self.do_normalize,
      "image_mean": self.image_mean,
      "image_std": self.image_std,
      "do_convert_rgb": self.do_convert_rgb,
  }




 def   UpperCamelCase__							(self       ,       __a=False       ,       __a=False       ,       __a=False ) ->					Union[str, Any]:






  """simple docstring"""





  assert not (numpify and torchify), "You cannot specify both numpy and PyTorch tensors at the same time"

  if equal_resolution:
   UpperCAmelCase__							=				[]
   for i in range(self.batch_size ):
    image_inputs.append(
        np.random.randint(
            255       ,       size=(self.num_channels, self.max_resolution, self.max_resolution)       ,       dtype=np.uinta ) )
  else:
   UpperCAmelCase__							=				[]
   for i in range(self.batch_size ):
    UpperCAmelCase__				,    UpperCAmelCase__							=				np.random.choice(np.arange(self.min_resolution       ,       self.max_resolution )       ,       2 )
    image_inputs.append(np.random.randint(255       ,       size=(self.num_channels, width, height)       ,       dtype=np.uinta ) )

  if not numpify and not torchify:
   # PIL expects the channel dimension as last dimension
   UpperCAmelCase__							=				[Image.fromarray(np.moveaxis(__a       ,       0       ,       -1 ) ) for x in image_inputs]

  if torchify:
   UpperCAmelCase__							=				[torch.from_numpy(__a ) for x in image_inputs]

  return image_inputs







@require_torch
@require_vision
class     lowercase						(       _UpperCamelCase ,				unittest.TestCase					):



 '''simple docstring'''


 __SCREAMING_SNAKE_CASE												=				CLIPImageProcessor if is_vision_available() else None




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






  """simple docstring"""





  UpperCAmelCase__							=				CLIPImageProcessingTester(self )




 @property
 def   UpperCamelCase__							(self ) ->					List[str]:






  """simple docstring"""





  return self.image_processor_tester.prepare_image_processor_dict()




 def   UpperCamelCase__							(self ) ->					Any:






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class(**self.image_processor_dict )
  self.assertTrue(hasattr(__a       ,       'do_resize' ) )
  self.assertTrue(hasattr(__a       ,       'size' ) )
  self.assertTrue(hasattr(__a       ,       'do_center_crop' ) )
  self.assertTrue(hasattr(__a       ,       'center_crop' ) )
  self.assertTrue(hasattr(__a       ,       'do_normalize' ) )
  self.assertTrue(hasattr(__a       ,       'image_mean' ) )
  self.assertTrue(hasattr(__a       ,       'image_std' ) )
  self.assertTrue(hasattr(__a       ,       'do_convert_rgb' ) )




 def   UpperCamelCase__							(self ) ->					str:






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class.from_dict(self.image_processor_dict )
  self.assertEqual(image_processor.size       ,       {'shortest_edge': 20} )
  self.assertEqual(image_processor.crop_size       ,       {'height': 18, 'width': 18} )

  UpperCAmelCase__							=				self.image_processing_class.from_dict(self.image_processor_dict       ,       size=42       ,       crop_size=84 )
  self.assertEqual(image_processor.size       ,       {'shortest_edge': 42} )
  self.assertEqual(image_processor.crop_size       ,       {'height': 84, 'width': 84} )




 def   UpperCamelCase__							(self ) ->					List[Any]:






  """simple docstring"""





  pass




 def   UpperCamelCase__							(self ) ->					Dict:






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class(**self.image_processor_dict )
  # create random PIL images
  UpperCAmelCase__							=				self.image_processor_tester.prepare_inputs(equal_resolution=__a )
  for image in image_inputs:
   self.assertIsInstance(__a       ,       Image.Image )

  # Test not batched input
  UpperCAmelCase__							=				image_processing(image_inputs[0]       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          1,
          self.image_processor_tester.num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )

  # Test batched
  UpperCAmelCase__							=				image_processing(__a       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          self.image_processor_tester.batch_size,
          self.image_processor_tester.num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )




 def   UpperCamelCase__							(self ) ->					Optional[Any]:






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class(**self.image_processor_dict )
  # create random numpy tensors
  UpperCAmelCase__							=				self.image_processor_tester.prepare_inputs(equal_resolution=__a       ,       numpify=__a )
  for image in image_inputs:
   self.assertIsInstance(__a       ,       np.ndarray )

  # Test not batched input
  UpperCAmelCase__							=				image_processing(image_inputs[0]       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          1,
          self.image_processor_tester.num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )

  # Test batched
  UpperCAmelCase__							=				image_processing(__a       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          self.image_processor_tester.batch_size,
          self.image_processor_tester.num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )




 def   UpperCamelCase__							(self ) ->					Tuple:






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class(**self.image_processor_dict )
  # create random PyTorch tensors
  UpperCAmelCase__							=				self.image_processor_tester.prepare_inputs(equal_resolution=__a       ,       torchify=__a )
  for image in image_inputs:
   self.assertIsInstance(__a       ,       torch.Tensor )

  # Test not batched input
  UpperCAmelCase__							=				image_processing(image_inputs[0]       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          1,
          self.image_processor_tester.num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )

  # Test batched
  UpperCAmelCase__							=				image_processing(__a       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          self.image_processor_tester.batch_size,
          self.image_processor_tester.num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )







@require_torch
@require_vision
class     lowercase						(       _UpperCamelCase ,				unittest.TestCase					):



 '''simple docstring'''


 __SCREAMING_SNAKE_CASE												=				CLIPImageProcessor if is_vision_available() else None




 def   UpperCamelCase__							(self ) ->					Optional[int]:






  """simple docstring"""





  UpperCAmelCase__							=				CLIPImageProcessingTester(self       ,       num_channels=4 )
  UpperCAmelCase__							=				3




 @property
 def   UpperCamelCase__							(self ) ->					Optional[int]:






  """simple docstring"""





  return self.image_processor_tester.prepare_image_processor_dict()




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






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class(**self.image_processor_dict )
  self.assertTrue(hasattr(__a       ,       'do_resize' ) )
  self.assertTrue(hasattr(__a       ,       'size' ) )
  self.assertTrue(hasattr(__a       ,       'do_center_crop' ) )
  self.assertTrue(hasattr(__a       ,       'center_crop' ) )
  self.assertTrue(hasattr(__a       ,       'do_normalize' ) )
  self.assertTrue(hasattr(__a       ,       'image_mean' ) )
  self.assertTrue(hasattr(__a       ,       'image_std' ) )
  self.assertTrue(hasattr(__a       ,       'do_convert_rgb' ) )




 def   UpperCamelCase__							(self ) ->					Tuple:






  """simple docstring"""





  pass




 def   UpperCamelCase__							(self ) ->					Optional[int]:






  """simple docstring"""





  UpperCAmelCase__							=				self.image_processing_class(**self.image_processor_dict )
  # create random PIL images
  UpperCAmelCase__							=				self.image_processor_tester.prepare_inputs(equal_resolution=__a )
  for image in image_inputs:
   self.assertIsInstance(__a       ,       Image.Image )

  # Test not batched input
  UpperCAmelCase__							=				image_processing(image_inputs[0]       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          1,
          self.expected_encoded_image_num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )

  # Test batched
  UpperCAmelCase__							=				image_processing(__a       ,       return_tensors='pt' ).pixel_values
  self.assertEqual(
      encoded_images.shape       ,       (
          self.image_processor_tester.batch_size,
          self.expected_encoded_image_num_channels,
          self.image_processor_tester.crop_size['height'],
          self.image_processor_tester.crop_size['width'],
      )       ,       )



