


"""simple docstring"""





from __future__ import annotations

from typing import Any



class 		snake_case_:






     def __init__(	self  :					Union[str, Any]					,				UpperCamelCase_  :					int					,				UpperCamelCase_  :					int					,				UpperCamelCase_  :					float = 0				):
           lowerCAmelCase					:	List[str]       =   row, column
           lowerCAmelCase					:	List[str]       =   [[default_value for c in range(UpperCamelCase_				)] for r in range(UpperCamelCase_				)]






     def __str__(	self  :					str				):
           lowerCAmelCase					:	List[str]       =   F'''Matrix consist of {self.row} rows and {self.column} columns\n'''

           # Make string identifier
           lowerCAmelCase					:	Dict       =   0
           for row_vector in self.array:
                 for obj in row_vector:
                       lowerCAmelCase					:	Dict       =   max(UpperCamelCase_					,				len(str(UpperCamelCase_				)				)				)
           lowerCAmelCase					:	Optional[int]       =   F'''%{max_element_length}s'''

           # Make string and return
           def single_line(UpperCamelCase_  :					list[float]				) -> str:
                 nonlocal string_format_identifier
                 lowerCAmelCase					:	List[str]       =   '''['''
                 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]				):
           return str(self				)






     def      lowerCamelCase__     (	self  :					List[Any]					,				UpperCamelCase_  :					tuple[int, int]				):
           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  :					str					,				UpperCamelCase_  :					tuple[int, int]				):
           assert self.validate_indicies(UpperCamelCase_				)
           return self.array[loc[0]][loc[1]]






     def __setitem__(	self  :					Any					,				UpperCamelCase_  :					tuple[int, int]					,				UpperCamelCase_  :					float				):
           assert self.validate_indicies(UpperCamelCase_				)
           lowerCAmelCase					:	Optional[int]       =   value






     def __add__(	self  :					str					,				UpperCamelCase_  :					Matrix				):
           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					:	Optional[int]       =   self[r, c] + another[r, c]
           return result






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






     def __sub__(	self  :					Dict					,				UpperCamelCase_  :					Matrix				):
           return self + (-another)






     def __mul__(	self  :					str					,				UpperCamelCase_  :					int | float | Matrix				):

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






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






     def      lowerCamelCase__     (	self  :					Optional[int]					,				UpperCamelCase_  :					Matrix					,				UpperCamelCase_  :					Matrix				):
           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					:	Optional[int]       =   v.transpose()
           lowerCAmelCase					:	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      _snake_case						(						):
       # a^(-1)
       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					:	Dict       =   Matrix(3 ,   1 ,   0			)
       lowerCAmelCase					:	Tuple       =   1, 2, -3
       lowerCAmelCase					:	List[str]       =   Matrix(3 ,   1 ,   0			)
       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(_snake_case ,   _snake_case			)}'''			)


 def      _snake_case						(						):
       import doctest

       doctest.testmod()






 testa()






"""simple docstring"""





import time
import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch, torch_device

from ..test_modeling_common import ids_tensor


if is_torch_available():
 import torch

 from transformers.generation import (
     MaxLengthCriteria,
     MaxNewTokensCriteria,
     MaxTimeCriteria,
     StoppingCriteriaList,
     validate_stopping_criteria,
 )



@require_torch
class 		snake_case_(       unittest.TestCase			):






     def      lowerCamelCase__     (	self  :					int					,				UpperCamelCase_  :					int				):
           lowerCAmelCase					:	str       =   3
           lowerCAmelCase					:	Tuple       =   2_5_0

           lowerCAmelCase					:	Optional[Any]       =   ids_tensor((batch_size, length)					,				UpperCamelCase_				)
           lowerCAmelCase					:	Optional[Any]       =   torch.ones((batch_size, length)					,				device=UpperCamelCase_					,				dtype=torch.float				) / length
           return input_ids, scores






     def      lowerCamelCase__     (	self  :					Optional[Any]				):
           lowerCAmelCase,      lowerCAmelCase					:	Optional[int]       =   self._get_tensors(5				)

           lowerCAmelCase					:	Union[str, Any]       =   StoppingCriteriaList(
               [
                   MaxLengthCriteria(max_length=1_0				),
                   MaxTimeCriteria(max_time=0.1				),
               ]				)

           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase,      lowerCAmelCase					:	List[str]       =   self._get_tensors(9				)
           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase,      lowerCAmelCase					:	Any       =   self._get_tensors(1_0				)
           self.assertTrue(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)






     def      lowerCamelCase__     (	self  :					Optional[Any]				):
           lowerCAmelCase					:	Optional[Any]       =   MaxLengthCriteria(max_length=1_0				)

           lowerCAmelCase,      lowerCAmelCase					:	Optional[Any]       =   self._get_tensors(5				)
           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase,      lowerCAmelCase					:	List[str]       =   self._get_tensors(9				)
           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase,      lowerCAmelCase					:	str       =   self._get_tensors(1_0				)
           self.assertTrue(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)






     def      lowerCamelCase__     (	self  :					List[Any]				):
           lowerCAmelCase					:	Optional[Any]       =   MaxNewTokensCriteria(start_length=5					,				max_new_tokens=5				)

           lowerCAmelCase,      lowerCAmelCase					:	Optional[int]       =   self._get_tensors(5				)
           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase,      lowerCAmelCase					:	Union[str, Any]       =   self._get_tensors(9				)
           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase,      lowerCAmelCase					:	str       =   self._get_tensors(1_0				)
           self.assertTrue(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase					:	Dict       =   StoppingCriteriaList([criteria]				)
           self.assertEqual(criteria_list.max_length					,				1_0				)






     def      lowerCamelCase__     (	self  :					Union[str, Any]				):
           lowerCAmelCase,      lowerCAmelCase					:	Tuple       =   self._get_tensors(5				)

           lowerCAmelCase					:	List[str]       =   MaxTimeCriteria(max_time=0.1				)
           self.assertFalse(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)

           lowerCAmelCase					:	List[str]       =   MaxTimeCriteria(max_time=0.1					,				initial_timestamp=time.time() - 0.2				)
           self.assertTrue(criteria(UpperCamelCase_					,				UpperCamelCase_				)				)






     def      lowerCamelCase__     (	self  :					str				):
           validate_stopping_criteria(StoppingCriteriaList([MaxLengthCriteria(1_0				)]				)					,				1_0				)

           with self.assertWarns(UpperCamelCase_				):
                 validate_stopping_criteria(StoppingCriteriaList([MaxLengthCriteria(1_0				)]				)					,				1_1				)

           lowerCAmelCase					:	str       =   validate_stopping_criteria(StoppingCriteriaList()					,				1_1				)

           self.assertEqual(len(UpperCamelCase_				)					,				1				)


