





from __future__ import annotations

from typing import Any



class        _SCREAMING_SNAKE_CASE						:







 '''simple docstring'''

 def __init__(self    :       Tuple	,			UpperCAmelCase_    :       int	,			UpperCAmelCase_    :       int	,			UpperCAmelCase_    :       float = 0)	->None:



   '''simple docstring'''



   lowerCamelCase__  , lowerCamelCase__:				Any        =row, column
   lowerCamelCase__:				List[str]        =[[default_value for c in range(UpperCAmelCase_)] for r in range(UpperCAmelCase_)]

 def __str__(self    :       Tuple)	->str:



   '''simple docstring'''



   lowerCamelCase__:				Union[str, Any]        =F"""Matrix consist of {self.row} rows and {self.column} columns\n"""

   # Make string identifier
   lowerCamelCase__:				List[str]        =0
   for row_vector in self.array:
     for obj in row_vector:
       lowerCamelCase__:				int        =max(UpperCAmelCase_	,			len(str(UpperCAmelCase_)))
   lowerCamelCase__:				Any        =F"""%{max_element_length}s"""

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

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

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



   '''simple docstring'''



   return str(self)

 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[int]	,			UpperCAmelCase_    :       tuple[int, int])	->bool:



   '''simple docstring'''



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

 def __getitem__(self    :       int	,			UpperCAmelCase_    :       tuple[int, int])	->Any:



   '''simple docstring'''



   assert self.validate_indicies(UpperCAmelCase_)
   return self.array[loc[0]][loc[1]]

 def __setitem__(self    :       Optional[Any]	,			UpperCAmelCase_    :       tuple[int, int]	,			UpperCAmelCase_    :       float)	->None:



   '''simple docstring'''



   assert self.validate_indicies(UpperCAmelCase_)
   lowerCamelCase__:				str        =value

 def __add__(self    :       Dict	,			UpperCAmelCase_    :       Matrix)	->Matrix:



   '''simple docstring'''



   assert isinstance(UpperCAmelCase_	,			UpperCAmelCase_)
   assert self.row == another.row and self.column == another.column

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

 def __neg__(self    :       str)	->Matrix:



   '''simple docstring'''



   lowerCamelCase__:				List[Any]        =Matrix(self.row	,			self.column)
   for r in range(self.row):
     for c in range(self.column):
       lowerCamelCase__:				Union[str, Any]        =-self[r, c]
   return result

 def __sub__(self    :       str	,			UpperCAmelCase_    :       Matrix)	->Matrix:



   '''simple docstring'''



   return self + (-another)

 def __mul__(self    :       List[str]	,			UpperCAmelCase_    :       int | float | Matrix)	->Matrix:



   '''simple docstring'''



   if isinstance(UpperCAmelCase_	,			(int, float)):  # Scalar multiplication
     lowerCamelCase__:				List[Any]        =Matrix(self.row	,			self.column)
     for r in range(self.row):
       for c in range(self.column):
         lowerCamelCase__:				Union[str, Any]        =self[r, c] * another
     return result
   elif isinstance(UpperCAmelCase_	,			UpperCAmelCase_):  # Matrix multiplication
     assert self.column == another.row
     lowerCamelCase__:				Dict        =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__:				int        =F"""Unsupported type given for another ({type(UpperCAmelCase_)})"""
     raise TypeError(UpperCAmelCase_)

 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[Any])	->Matrix:



   '''simple docstring'''



   lowerCamelCase__:				Optional[Any]        =Matrix(self.column	,			self.row)
   for r in range(self.row):
     for c in range(self.column):
       lowerCamelCase__:				Optional[int]        =self[r, c]
   return result







 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[Any]	,			UpperCAmelCase_    :       Matrix	,			UpperCAmelCase_    :       Matrix)	->Any:



   '''simple docstring'''



   assert isinstance(UpperCAmelCase_	,			UpperCAmelCase_) and isinstance(UpperCAmelCase_	,			UpperCAmelCase_)
   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__:				Tuple        =v.transpose()
   lowerCamelCase__:				Optional[Any]        =(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 					lowerCAmelCase_			(	)					->		None:







       """simple docstring"""





       lowerCamelCase__:				List[str]        =Matrix(3     ,   3     ,   0		)
       for i in range(3		):
         lowerCamelCase__:				Union[str, Any]        =1
       print(F"""a^(-1) is {ainv}"""		)
       # u, v
       lowerCamelCase__:				Optional[int]        =Matrix(3     ,   1     ,   0		)
       lowerCamelCase__  , lowerCamelCase__  , lowerCamelCase__:				int        =1, 2, -3
       lowerCamelCase__:				Optional[Any]        =Matrix(3     ,   1     ,   0		)
       lowerCamelCase__  , lowerCamelCase__  , lowerCamelCase__:				Any        =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(__a     ,   __a		)}"""		)





     def 					lowerCAmelCase_			(	)					->		None:







       """simple docstring"""





       import doctest

       doctest.testmod()






     testa()








from pathlib import Path
from typing import List

from transformers import is_torch_available, is_vision_available
from transformers.testing_utils import get_tests_dir, is_tool_test
from transformers.tools.agent_types import AGENT_TYPE_MAPPING, AgentAudio, AgentImage, AgentText


if is_torch_available():
     import torch

if is_vision_available():
     from PIL import Image


__A     =    ["text", "image", "audio"]





def 					lowerCAmelCase_			(	__a		)					->		Optional[Any]:







  """simple docstring"""





  lowerCamelCase__:				Tuple        =[]

  for input_type in input_types:
    if input_type == "text":
      inputs.append("Text input"		)
    elif input_type == "image":
      inputs.append(
          Image.open(Path(get_tests_dir("fixtures/tests_samples/COCO"		)		) / "000000039769.png"		).resize((512, 512)		)		)
    elif input_type == "audio":
      inputs.append(torch.ones(3000		)		)
    elif isinstance(__a     ,   __a		):
      inputs.append(create_inputs(__a		)		)
    else:
      raise ValueError(F"""Invalid type requested: {input_type}"""		)

  return inputs





def 					lowerCAmelCase_			(	__a		)					->		Union[str, Any]:







  """simple docstring"""





  lowerCamelCase__:				Union[str, Any]        =[]

  for output in outputs:
    if isinstance(__a     ,   (str, AgentText)		):
      output_types.append("text"		)
    elif isinstance(__a     ,   (Image.Image, AgentImage)		):
      output_types.append("image"		)
    elif isinstance(__a     ,   (torch.Tensor, AgentAudio)		):
      output_types.append("audio"		)
    else:
      raise ValueError(F"""Invalid output: {output}"""		)

  return output_types






@is_tool_test
class        _SCREAMING_SNAKE_CASE						:







 '''simple docstring'''

 def 							SCREAMING_SNAKE_CASE_ (self    :       List[str])	->Dict:



   '''simple docstring'''



   self.assertTrue(hasattr(self.tool	,			"inputs"))
   self.assertTrue(hasattr(self.tool	,			"outputs"))

   lowerCamelCase__:				Tuple        =self.tool.inputs
   for _input in inputs:
     if isinstance(_input	,			UpperCAmelCase_):
       for __input in _input:
         self.assertTrue(__input in authorized_types)
     else:
       self.assertTrue(_input in authorized_types)

   lowerCamelCase__:				Optional[Any]        =self.tool.outputs
   for _output in outputs:
     self.assertTrue(_output in authorized_types)

 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[Any])	->str:



   '''simple docstring'''



   lowerCamelCase__:				List[str]        =create_inputs(self.tool.inputs)
   lowerCamelCase__:				str        =self.tool(*UpperCAmelCase_)

   # There is a single output
   if len(self.tool.outputs) == 1:
     lowerCamelCase__:				Optional[Any]        =[outputs]

   self.assertListEqual(output_types(UpperCAmelCase_)	,			self.tool.outputs)

 def 							SCREAMING_SNAKE_CASE_ (self    :       Dict)	->Any:



   '''simple docstring'''



   self.assertTrue(hasattr(self.tool	,			"description"))
   self.assertTrue(hasattr(self.tool	,			"default_checkpoint"))
   self.assertTrue(self.tool.description.startswith("This is a tool that"))

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



   '''simple docstring'''



   lowerCamelCase__:				str        =create_inputs(self.tool.inputs)
   lowerCamelCase__:				Dict        =self.tool(*UpperCAmelCase_)

   if not isinstance(UpperCAmelCase_	,			UpperCAmelCase_):
     lowerCamelCase__:				Tuple        =[outputs]

   self.assertEqual(len(UpperCAmelCase_)	,			len(self.tool.outputs))

   for output, output_type in zip(UpperCAmelCase_	,			self.tool.outputs):
     lowerCamelCase__:				Any        =AGENT_TYPE_MAPPING[output_type]
     self.assertTrue(isinstance(UpperCAmelCase_	,			UpperCAmelCase_))







 def 							SCREAMING_SNAKE_CASE_ (self    :       Dict)	->str:



   '''simple docstring'''



   lowerCamelCase__:				Any        =create_inputs(self.tool.inputs)

   lowerCamelCase__:				int        =[]

   for _input, input_type in zip(UpperCAmelCase_	,			self.tool.inputs):
     if isinstance(UpperCAmelCase_	,			UpperCAmelCase_):
       _inputs.append([AGENT_TYPE_MAPPING[_input_type](_input) for _input_type in input_type])
     else:
       _inputs.append(AGENT_TYPE_MAPPING[input_type](_input))

        # Should not raise an error
   lowerCamelCase__:				Union[str, Any]        =self.tool(*UpperCAmelCase_)

   if not isinstance(UpperCAmelCase_	,			UpperCAmelCase_):
     lowerCamelCase__:				str        =[outputs]

   self.assertEqual(len(UpperCAmelCase_)	,			len(self.tool.outputs))

