





'''simple docstring'''



from __future__ import annotations

from typing import Any




def       _lowerCAmelCase  ( *lowerCamelCase_	:     list[list[int]] ):
			if all(_check_not_integer(lowerCamelCase_ ) for m in matrix_s ):
						for i in matrix_s[1:]:
									_verify_matrix_sizes(matrix_s[0]						,				lowerCamelCase_ )
						return [[sum(lowerCamelCase_ ) for t in zip(*lowerCamelCase_ )] for m in zip(*lowerCamelCase_ )]
			raise TypeError('''Expected a matrix, got int/list instead''' )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]]						,				lowerCamelCase_	:     list[list[int]] ):
			if (
			    _check_not_integer(lowerCamelCase_ )
			    and _check_not_integer(lowerCamelCase_ )
			    and _verify_matrix_sizes(lowerCamelCase_						,				lowerCamelCase_ )
			):
						return [[i - j for i, j in zip(*lowerCamelCase_ )] for m in zip(lowerCamelCase_						,				lowerCamelCase_ )]
			raise TypeError('''Expected a matrix, got int/list instead''' )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]]						,				lowerCamelCase_	:     int | float ):
			return [[x * n for x in row] for row in matrix]




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]]						,				lowerCamelCase_	:     list[list[int]] ):
			if _check_not_integer(lowerCamelCase_ ) and _check_not_integer(lowerCamelCase_ ):
						__lowercase  ,						__lowercase   =							_verify_matrix_sizes(lowerCamelCase_						,				lowerCamelCase_ )

			if cols[0] != rows[1]:
						__lowercase   =							(
						    '''Cannot multiply matrix of dimensions '''
						    f"({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})"
						)
						raise ValueError(lowerCamelCase_ )
			return [
			    [sum(m * n for m, n in zip(lowerCamelCase_						,				lowerCamelCase_ ) ) for j in zip(*lowerCamelCase_ )] for i in matrix_a
			]




def       _lowerCAmelCase  ( lowerCamelCase_	:     int ):
			__lowercase   =							int(lowerCamelCase_ )
			return [[int(row == column ) for column in range(lowerCamelCase_ )] for row in range(lowerCamelCase_ )]




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]]						,				lowerCamelCase_	:     bool = True ):
			if _check_not_integer(lowerCamelCase_ ):
						if return_map:
									return map(lowerCamelCase_						,				zip(*lowerCamelCase_ ) )
						else:
									return list(map(lowerCamelCase_						,				zip(*lowerCamelCase_ ) ) )
			raise TypeError('''Expected a matrix, got int/list instead''' )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]]						,				lowerCamelCase_	:     int						,				lowerCamelCase_	:     int ):
			__lowercase   =							matrix[:row] + matrix[row + 1 :]
			return [row[:column] + row[column + 1 :] for row in minor]




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]] ):
			if len(lowerCamelCase_ ) == 1:
						return matrix[0][0]

			return sum(
			    x * determinant(minor(lowerCamelCase_						,				0						,				lowerCamelCase_ ) ) * (-1) ** i
			    for i, x in enumerate(matrix[0] ) )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]] ):
			__lowercase   =							determinant(lowerCamelCase_ )
			if det == 0:
						return None

			__lowercase   =							[
			    [determinant(minor(lowerCamelCase_						,				lowerCamelCase_						,				lowerCamelCase_ ) ) for j in range(len(lowerCamelCase_ ) )]
			    for i in range(len(lowerCamelCase_ ) )
			]

			__lowercase   =							[
			    [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row] )]
			    for row in range(len(lowerCamelCase_ ) )
			]
			__lowercase   =							list(transpose(lowerCamelCase_ ) )
			return scalar_multiply(lowerCamelCase_						,				1 / det )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]] ):
			return not isinstance(lowerCamelCase_						,				lowerCamelCase_ ) and not isinstance(matrix[0]						,				lowerCamelCase_ )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]] ):
			return len(lowerCamelCase_ ), len(matrix[0] )




def       _lowerCAmelCase  ( lowerCamelCase_	:     list[list[int]]						,				lowerCamelCase_	:     list[list[int]] ):
			__lowercase   =							_shape(lowerCamelCase_ ) + _shape(lowerCamelCase_ )
			if shape[0] != shape[3] or shape[1] != shape[2]:
						__lowercase   =							(
						    '''operands could not be broadcast together with shape '''
						    f"({shape[0], shape[1]}), ({shape[2], shape[3]})"
						)
						raise ValueError(lowerCamelCase_ )
			return (shape[0], shape[2]), (shape[1], shape[3])




def       _lowerCAmelCase  ( ):
			__lowercase   =							[[1_2, 1_0], [3, 9]]
			__lowercase   =							[[3, 4], [7, 4]]
			__lowercase   =							[[1_1, 1_2, 1_3, 1_4], [2_1, 2_2, 2_3, 2_4], [3_1, 3_2, 3_3, 3_4], [4_1, 4_2, 4_3, 4_4]]
			__lowercase   =							[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
			print(f"Add Operation, {add(lowerCamelCase_						,				lowerCamelCase_ ) = } \n" )
			print(
			    f"Multiply Operation, {multiply(lowerCamelCase_						,				lowerCamelCase_ ) = } \n"						,				)
			print(f"Identity: {identity(5 )}\n" )
			print(f"Minor of {matrix_c} = {minor(lowerCamelCase_						,				1						,				2 )} \n" )
			print(f"Determinant of {matrix_b} = {determinant(lowerCamelCase_ )} \n" )
			print(f"Inverse of {matrix_d} = {inverse(lowerCamelCase_ )}\n" )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()







'''simple docstring'''



import textwrap

import pyarrow as pa
import pytest

from datasets import Features, Image
from datasets.packaged_modules.text.text import Text

from ..utils import require_pil
@pytest.fixture
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_  )   ->   Union[str, Any]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE          = tmp_path / """text.txt"""
   _SCREAMING_SNAKE_CASE          = textwrap.dedent(
       """\
        Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
        Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
        Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
        Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

        Second paragraph:
        Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
        Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
        Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
        Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
        """  )
   with open(SCREAMING_SNAKE_CASE_			,					"""w"""			,					encoding="""utf-8"""  ) as f:
      f.write(SCREAMING_SNAKE_CASE_  )
   return str(SCREAMING_SNAKE_CASE_  )
@pytest.fixture
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_  )   ->   Optional[int]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE          = tmp_path / """text_with_image.txt"""
   with open(SCREAMING_SNAKE_CASE_			,					"""w"""			,					encoding="""utf-8"""  ) as f:
      f.write(SCREAMING_SNAKE_CASE_  )
   return str(SCREAMING_SNAKE_CASE_  )
@pytest.mark.parametrize("""keep_linebreaks"""			,					[True, False]  )
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_  )   ->   int:




   """simple docstring"""
   with open(SCREAMING_SNAKE_CASE_			,					encoding="""utf-8"""  ) as f:
      _SCREAMING_SNAKE_CASE          = f.read().splitlines(keepends=SCREAMING_SNAKE_CASE_  )
   _SCREAMING_SNAKE_CASE          = Text(keep_linebreaks=SCREAMING_SNAKE_CASE_			,					encoding="""utf-8"""  )
   _SCREAMING_SNAKE_CASE          = text._generate_tables([[text_file]]  )
   _SCREAMING_SNAKE_CASE          = pa.concat_tables([table for _, table in generator]  ).to_pydict()["""text"""]
   assert generated_content == expected_content
@require_pil
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_  )   ->   List[str]:




   """simple docstring"""
   with open(SCREAMING_SNAKE_CASE_			,					encoding="""utf-8"""  ) as f:
      _SCREAMING_SNAKE_CASE          = f.read().splitlines()[0]
   _SCREAMING_SNAKE_CASE          = Text(encoding="""utf-8"""			,					features=Features({"""image""": Image()}  )  )
   _SCREAMING_SNAKE_CASE          = text._generate_tables([[text_file_with_image]]  )
   _SCREAMING_SNAKE_CASE          = pa.concat_tables([table for _, table in generator]  )
   assert pa_table.schema.field("""image"""  ).type == Image()()
   _SCREAMING_SNAKE_CASE          = pa_table.to_pydict()["""image"""]
   assert generated_content == [{"path": image_file, "bytes": None}]







@pytest.mark.parametrize("""sample_by"""			,					["""line""", """paragraph""", """document"""]  )
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_			,					SCREAMING_SNAKE_CASE_  )   ->   List[Any]:




   """simple docstring"""
   with open(SCREAMING_SNAKE_CASE_			,					encoding="""utf-8"""  ) as f:
      _SCREAMING_SNAKE_CASE          = f.read()
   if sample_by == "line":
      _SCREAMING_SNAKE_CASE          = expected_content.splitlines()
   elif sample_by == "paragraph":
      _SCREAMING_SNAKE_CASE          = expected_content.split("""\n\n"""  )
   elif sample_by == "document":
      _SCREAMING_SNAKE_CASE          = [expected_content]
   _SCREAMING_SNAKE_CASE          = Text(sample_by=SCREAMING_SNAKE_CASE_			,					encoding="""utf-8"""			,					chunksize=1_00  )
   _SCREAMING_SNAKE_CASE          = text._generate_tables([[text_file]]  )
   _SCREAMING_SNAKE_CASE          = pa.concat_tables([table for _, table in generator]  ).to_pydict()["""text"""]
   assert generated_content == expected_content






