



from __future__ import annotations

from typing import Any





class 		UpperCAmelCase						:





    def __init__(	self       ,     _lowerCAmelCase       ,     _lowerCAmelCase       ,     _lowerCAmelCase = 0			):
          _lowerCAmelCase			,   _lowerCAmelCase 			=  row, column
          _lowerCAmelCase 			=  [[default_value for c in range(_lowerCAmelCase			)] for r in range(_lowerCAmelCase			)]





    def __str__(	self			):
          _lowerCAmelCase 			=  F'''Matrix consist of {self.row} rows and {self.column} columns\n'''

          # Make string identifier
          _lowerCAmelCase 			=  0
          for row_vector in self.array:
                for obj in row_vector:
                      _lowerCAmelCase 			=  max(_lowerCAmelCase       ,     len(str(_lowerCAmelCase			)			)			)
          _lowerCAmelCase 			=  F'''%{max_element_length}s'''

          # Make string and return
          def single_line(_lowerCAmelCase			) -> str:
                nonlocal string_format_identifier
                _lowerCAmelCase 			=  '''['''
                line += ", ".join(string_format_identifier % (obj,) for obj in row_vector			)
                line += "]"
                return line

          s += "\n".join(single_line(_lowerCAmelCase			) for row_vector in self.array			)
          return s





    def __repr__(	self			):
          return str(self			)





    def 	__lowerCAmelCase							(	self       ,     _lowerCAmelCase			):
          if not (isinstance(_lowerCAmelCase       ,     (list, tuple)			) and len(_lowerCAmelCase			) == 2):
                return False
          elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
                return False
          else:
                return True





    def __getitem__(	self       ,     _lowerCAmelCase			):
          assert self.validate_indicies(_lowerCAmelCase			)
          return self.array[loc[0]][loc[1]]





    def __setitem__(	self       ,     _lowerCAmelCase       ,     _lowerCAmelCase			):
          assert self.validate_indicies(_lowerCAmelCase			)
          _lowerCAmelCase 			=  value





    def __add__(	self       ,     _lowerCAmelCase			):
          assert isinstance(_lowerCAmelCase       ,     _lowerCAmelCase			)
          assert self.row == another.row and self.column == another.column

          # Add
          _lowerCAmelCase 			=  Matrix(self.row       ,     self.column			)
          for r in range(self.row			):
                for c in range(self.column			):
                      _lowerCAmelCase 			=  self[r, c] + another[r, c]
          return result





    def __neg__(	self			):
          _lowerCAmelCase 			=  Matrix(self.row       ,     self.column			)
          for r in range(self.row			):
                for c in range(self.column			):
                      _lowerCAmelCase 			=  -self[r, c]
          return result





    def __sub__(	self       ,     _lowerCAmelCase			):
          return self + (-another)





    def __mul__(	self       ,     _lowerCAmelCase			):

          if isinstance(_lowerCAmelCase       ,     (int, float)			):  # Scalar multiplication
                _lowerCAmelCase 			=  Matrix(self.row       ,     self.column			)
                for r in range(self.row			):
                      for c in range(self.column			):
                            _lowerCAmelCase 			=  self[r, c] * another
                return result
          elif isinstance(_lowerCAmelCase       ,     _lowerCAmelCase			):  # Matrix multiplication
                assert self.column == another.row
                _lowerCAmelCase 			=  Matrix(self.row       ,     another.column			)
                for r in range(self.row			):
                      for c in range(another.column			):
                            for i in range(self.column			):
                                  result[r, c] += self[r, i] * another[i, c]
                return result
          else:
                _lowerCAmelCase 			=  F'''Unsupported type given for another ({type(_lowerCAmelCase			)})'''
                raise TypeError(_lowerCAmelCase			)





    def 	__lowerCAmelCase							(	self			):
          _lowerCAmelCase 			=  Matrix(self.column       ,     self.row			)
          for r in range(self.row			):
                for c in range(self.column			):
                      _lowerCAmelCase 			=  self[r, c]
          return result





    def 	__lowerCAmelCase							(	self       ,     _lowerCAmelCase       ,     _lowerCAmelCase			):
          assert isinstance(_lowerCAmelCase       ,     _lowerCAmelCase			) and isinstance(_lowerCAmelCase       ,     _lowerCAmelCase			)
          assert self.row == self.column == u.row == v.row  # u, v should be column vector
          assert u.column == v.column == 1  # u, v should be column vector

          # Calculate
          _lowerCAmelCase 			=  v.transpose()
          _lowerCAmelCase 			=  (v_t * self * u)[0, 0] + 1
          if numerator_factor == 0:
                return None  # It's not invertable
          return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":
    def 							UpperCAmelCase__		(				)->None:
          # a^(-1)
          _lowerCAmelCase 			=  Matrix(3     ,				3     ,				0				)
          for i in range(3				):
                _lowerCAmelCase 			=  1
          print(f'''a^(-1) is {ainv}'''				)
          # u, v
          _lowerCAmelCase 			=  Matrix(3     ,				1     ,				0				)
          _lowerCAmelCase			,   _lowerCAmelCase			,   _lowerCAmelCase 			=  1, 2, -3
          _lowerCAmelCase 			=  Matrix(3     ,				1     ,				0				)
          _lowerCAmelCase			,   _lowerCAmelCase			,   _lowerCAmelCase 			=  4, -2, 5
          print(f'''u is {u}'''				)
          print(f'''v is {v}'''				)
          print(f'''uv^T is {u * v.transpose()}'''				)
          # Sherman Morrison
          print(f'''(a + uv^T)^(-1) is {ainv.sherman_morrison(_SCREAMING_SNAKE_CASE     ,				_SCREAMING_SNAKE_CASE				)}'''				)
    def 							UpperCAmelCase__		(				)->None:
          import doctest

          doctest.testmod()


    testa()




from tempfile import TemporaryDirectory
from unittest import TestCase
from unittest.mock import MagicMock, patch

from transformers import AutoModel, TFAutoModel
from transformers.onnx import FeaturesManager
from transformers.testing_utils import SMALL_MODEL_IDENTIFIER, require_tf, require_torch





@require_torch
@require_tf
class 		UpperCAmelCase						(						snake_case_				):





   def 	__lowerCAmelCase							(	self			):
         _lowerCAmelCase 			=  SMALL_MODEL_IDENTIFIER
         _lowerCAmelCase 			=  '''pt'''
         _lowerCAmelCase 			=  '''tf'''





   def 	__lowerCAmelCase							(	self       ,     _lowerCAmelCase			):
         _lowerCAmelCase 			=  AutoModel.from_pretrained(self.test_model			)
         model_pt.save_pretrained(_lowerCAmelCase			)





   def 	__lowerCAmelCase							(	self       ,     _lowerCAmelCase			):
         _lowerCAmelCase 			=  TFAutoModel.from_pretrained(self.test_model       ,     from_pt=_lowerCAmelCase			)
         model_tf.save_pretrained(_lowerCAmelCase			)





   def 	__lowerCAmelCase							(	self			):
         _lowerCAmelCase 			=  '''mock_framework'''

         # Framework provided - return whatever the user provides
         _lowerCAmelCase 			=  FeaturesManager.determine_framework(self.test_model       ,     _lowerCAmelCase			)
         self.assertEqual(_lowerCAmelCase       ,     _lowerCAmelCase			)

         # Local checkpoint and framework provided - return provided framework
         # PyTorch checkpoint
         with TemporaryDirectory() as local_pt_ckpt:
               self._setup_pt_ckpt(_lowerCAmelCase			)
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(_lowerCAmelCase       ,     _lowerCAmelCase			)
               self.assertEqual(_lowerCAmelCase       ,     _lowerCAmelCase			)

         # TensorFlow checkpoint
         with TemporaryDirectory() as local_tf_ckpt:
               self._setup_tf_ckpt(_lowerCAmelCase			)
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(_lowerCAmelCase       ,     _lowerCAmelCase			)
               self.assertEqual(_lowerCAmelCase       ,     _lowerCAmelCase			)





   def 	__lowerCAmelCase							(	self			):
         # PyTorch checkpoint
         with TemporaryDirectory() as local_pt_ckpt:
               self._setup_pt_ckpt(_lowerCAmelCase			)
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(_lowerCAmelCase			)
               self.assertEqual(_lowerCAmelCase       ,     self.framework_pt			)

         # TensorFlow checkpoint
         with TemporaryDirectory() as local_tf_ckpt:
               self._setup_tf_ckpt(_lowerCAmelCase			)
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(_lowerCAmelCase			)
               self.assertEqual(_lowerCAmelCase       ,     self.framework_tf			)

         # Invalid local checkpoint
         with TemporaryDirectory() as local_invalid_ckpt:
               with self.assertRaises(_lowerCAmelCase			):
                     _lowerCAmelCase 			=  FeaturesManager.determine_framework(_lowerCAmelCase			)





   def 	__lowerCAmelCase							(	self			):
         _lowerCAmelCase 			=  MagicMock(return_value=_lowerCAmelCase			)
         with patch('''transformers.onnx.features.is_tf_available'''       ,     _lowerCAmelCase			):
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(self.test_model			)
               self.assertEqual(_lowerCAmelCase       ,     self.framework_pt			)

         # PyTorch not in environment -> use TensorFlow
         _lowerCAmelCase 			=  MagicMock(return_value=_lowerCAmelCase			)
         with patch('''transformers.onnx.features.is_torch_available'''       ,     _lowerCAmelCase			):
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(self.test_model			)
               self.assertEqual(_lowerCAmelCase       ,     self.framework_tf			)

         # Both in environment -> use PyTorch
         _lowerCAmelCase 			=  MagicMock(return_value=_lowerCAmelCase			)
         _lowerCAmelCase 			=  MagicMock(return_value=_lowerCAmelCase			)
         with patch('''transformers.onnx.features.is_tf_available'''       ,     _lowerCAmelCase			), patch(
             '''transformers.onnx.features.is_torch_available'''       ,     _lowerCAmelCase			):
               _lowerCAmelCase 			=  FeaturesManager.determine_framework(self.test_model			)
               self.assertEqual(_lowerCAmelCase       ,     self.framework_pt			)

         # Both not in environment -> raise error
         _lowerCAmelCase 			=  MagicMock(return_value=_lowerCAmelCase			)
         _lowerCAmelCase 			=  MagicMock(return_value=_lowerCAmelCase			)
         with patch('''transformers.onnx.features.is_tf_available'''       ,     _lowerCAmelCase			), patch(
             '''transformers.onnx.features.is_torch_available'''       ,     _lowerCAmelCase			):
               with self.assertRaises(_lowerCAmelCase			):
                     _lowerCAmelCase 			=  FeaturesManager.determine_framework(self.test_model			)