


'''simple docstring'''







import posixpath
from pathlib import Path
from unittest.mock import patch

import pytest
from fsspec.implementations.local import AbstractFileSystem, LocalFileSystem, stringify_path
from fsspec.registry import _registry as _fsspec_registry

class   _snake_case( UpperCAmelCase			):
 __snake_case:       Optional[Any]									=				'''mock'''






 def __init__(self					:     Optional[int]						,		*a					:     Dict						,		a					:     List[Any]						,		**a					:     Union[str, Any]						)					->      List[Any]:






    """simple docstring"""


    super().__init__()
    A__         =    LocalFileSystem(*a						,		**a						)
    A__         =    Path(a						).resolve().as_posix() + '/'






 def 	_UpperCamelCase   (self					:     str						,		a					:     List[str]						,		*a					:     Any						,		**a					:     Dict						)					->      Tuple:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.mkdir(a						,		*a						,		**a						)






 def 	_UpperCamelCase   (self					:     Dict						,		a					:     List[str]						,		*a					:     Optional[Any]						,		**a					:     List[str]						)					->      Optional[int]:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.makedirs(a						,		*a						,		**a						)






 def 	_UpperCamelCase   (self					:     str						,		a					:     Union[str, Any]						)					->      Optional[Any]:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.rmdir(a						)






 def 	_UpperCamelCase   (self					:     str						,		a					:     int						,		a					:     Optional[int]=True						,		*a					:     Tuple						,		**a					:     Optional[int]						)					->      Union[str, Any]:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    A__         =    self._fs.ls(a						,		detail=a						,		*a						,		**a						)
    if detail:
       return [{**info, "name": info["name"][len(self.local_root_dir						) :]} for info in out]
    else:
       return [name[len(self.local_root_dir						) :] for name in out]






 def 	_UpperCamelCase   (self					:     List[Any]						,		a					:     Optional[Any]						,		*a					:     str						,		**a					:     Any						)					->      List[str]:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    A__         =    dict(self._fs.info(a						,		*a						,		**a						)						)
    A__         =    out['name'][len(self.local_root_dir						) :]
    return out






 def 	_UpperCamelCase   (self					:     Optional[int]						,		a					:     List[str]						,		a					:     Optional[int]						,		*a					:     Optional[int]						,		**a					:     Any						)					->      str:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.cp_file(a						,		a						,		*a						,		**a						)






 def 	_UpperCamelCase   (self					:     Dict						,		a					:     Union[str, Any]						,		*a					:     Dict						,		**a					:     str						)					->      str:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.rm_file(a						,		*a						,		**a						)






 def 	_UpperCamelCase   (self					:     List[str]						,		a					:     Dict						,		*a					:     List[Any]						,		**a					:     Any						)					->      List[Any]:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.rm(a						,		*a						,		**a						)






 def 	_UpperCamelCase   (self					:     int						,		a					:     Optional[int]						,		*a					:     Any						,		**a					:     Optional[int]						)					->      List[str]:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs._open(a						,		*a						,		**a						)






 def 	_UpperCamelCase   (self					:     Tuple						,		a					:     int						)					->      str:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.created(a						)






 def 	_UpperCamelCase   (self					:     List[Any]						,		a					:     str						)					->      str:






    """simple docstring"""


    A__         =    posixpath.join(self.local_root_dir						,		self._strip_protocol(a						)						)
    return self._fs.modified(a						)






 @classmethod
 def 	_UpperCamelCase   (cls					:     int						,		a					:     List[Any]						)					->      Union[str, Any]:






    """simple docstring"""


    A__         =    stringify_path(a						)
    if path.startswith('mock://'						):
       A__         =    path[7:]
    return path




class   _snake_case( UpperCAmelCase			):
 __snake_case:       int									=				'''tmp'''
 __snake_case:       Dict									=				None






 def __init__(self					:     Optional[Any]						,		*a					:     Tuple						,		**a					:     List[Any]						)					->      str:






    """simple docstring"""


    assert self.tmp_dir is not None, "TmpDirFileSystem.tmp_dir is not set"
    super().__init__(*a						,		**a						,		local_root_dir=self.tmp_dir						,		auto_mkdir=a						)






 @classmethod
 def 	_UpperCamelCase   (cls					:     Tuple						,		a					:     str						)					->      Dict:






    """simple docstring"""


    A__         =    stringify_path(a						)
    if path.startswith('tmp://'						):
       A__         =    path[6:]
    return path







@pytest.fixture
def 	_A			(   ):






   '''simple docstring'''







   A__         =    MockFileSystem
   A__         =    TmpDirFileSystem
   yield
   del _fsspec_registry["mock"]
   del _fsspec_registry["tmp"]







@pytest.fixture
def 	_A			(   UpperCAmelCase			,UpperCAmelCase	):






   '''simple docstring'''







   A__         =    tmp_path_factory.mktemp('mockfs'	)
   return MockFileSystem(local_root_dir=UpperCAmelCase			,auto_mkdir=UpperCAmelCase	)







@pytest.fixture
def 	_A			(   UpperCAmelCase			,UpperCAmelCase	):






   '''simple docstring'''







   A__         =    tmp_path_factory.mktemp('tmpfs'	)
   with patch.object(UpperCAmelCase			,'tmp_dir'			,UpperCAmelCase	):
      yield TmpDirFileSystem()








'''simple docstring'''







from typing import Any

import numpy as np

class   _snake_case:






 def __init__(self					:     int						,		a					:     np.ndarray						,		a					:     int						)					->      None:






    """simple docstring"""


    if np.any(tableau[:, -1]						,		where=tableau[:, -1] < 0						):
       raise ValueError('RHS must be > 0'						)

    A__         =    tableau
    A__     , A__         =    tableau.shape

    # Number of decision variables x1, x2, x3...
    A__         =    n_vars

    # Number of artificial variables to be minimised
    A__         =    len(np.where(tableau[self.n_vars : -1] == -1						)[0]						)

    # 2 if there are >= or == constraints (nonstandard), 1 otherwise (std)
    A__         =    (self.n_art_vars > 0) + 1

    # Number of slack variables added to make inequalities into equalities
    A__         =    self.n_rows - self.n_stages

    # Objectives for each stage
    A__         =    ['max']

    # In two stage simplex, first minimise then maximise
    if self.n_art_vars:
       self.objectives.append('min'						)

    A__         =    ['']

    # Index of current pivot row and column
    A__         =    None
    A__         =    None

    # Does objective row only contain (non)-negative values?
    A__         =    False






 @staticmethod
 def 	_UpperCamelCase   (*a					:     int						)					->      list[str]:






    """simple docstring"""


    if len(a						) != 3:
       raise ValueError('Must provide n_vars, n_slack, and n_art_vars'						)

    if not all(x >= 0 and isinstance(a						,		a						) for x in args						):
       raise ValueError('All arguments must be non-negative integers'						)

    # decision | slack | artificial
    A__         =    ['x', 's', 'a']
    A__         =    []
    for i in range(3						):
       for j in range(args[i]						):
          titles.append(string_starts[i] + str(j + 1						)						)
    titles.append('RHS'						)
    return titles






 def 	_UpperCamelCase   (self					:     Optional[Any]						,		a					:     np.ndarray						)					->      tuple[Any, Any]:






    """simple docstring"""


    A__         =    self.objectives[-1]

    # Find entries of highest magnitude in objective rows
    A__         =    (objective == 'min') - (objective == 'max')
    A__         =    np.argmax(sign * tableau[0, : self.n_vars]						)

    # Choice is only valid if below 0 for maximise, and above for minimise
    if sign * self.tableau[0, col_idx] <= 0:
       A__         =    True
       return 0, 0

    # Pivot row is chosen as having the lowest quotient when elements of
    # the pivot column divide the right-hand side

    # Slice excluding the objective rows
    A__         =    slice(self.n_stages						,		self.n_rows						)

    # RHS
    A__         =    tableau[s, -1]

    # Elements of pivot column within slice
    A__         =    tableau[s, col_idx]

    # Array filled with nans
    A__         =    np.full(self.n_rows - self.n_stages						,		np.nan						)

    # If element in pivot column is greater than zeron_stages, return
    # quotient or nan otherwise
    A__         =    np.divide(a						,		a						,		out=a						,		where=divisor > 0						)

    # Arg of minimum quotient excluding the nan values. n_stages is added
    # to compensate for earlier exclusion of objective columns
    A__         =    np.nanargmin(a						) + self.n_stages
    return row_idx, col_idx






 def 	_UpperCamelCase   (self					:     Optional[Any]						,		a					:     np.ndarray						,		a					:     int						,		a					:     int						)					->      np.ndarray:






    """simple docstring"""


    A__         =    tableau[row_idx].copy()

    A__         =    piv_row[col_idx]

    # Entry becomes 1
    piv_row *= 1 / piv_val

    # Variable in pivot column becomes basic, ie the only non-zero entry
    for idx, coeff in enumerate(tableau[:, col_idx]						):
       tableau[idx] += -coeff * piv_row
    A__         =    piv_row
    return tableau






 def 	_UpperCamelCase   (self					:     Union[str, Any]						,		a					:     np.ndarray						)					->      np.ndarray:






    """simple docstring"""


    self.objectives.pop()

    if not self.objectives:
       return tableau

    # Slice containing ids for artificial columns
    A__         =    slice(-self.n_art_vars - 1						,		-1						)

    # Delete the artificial variable columns
    A__         =    np.delete(a						,		a						,		axis=1						)

    # Delete the objective row of the first stage
    A__         =    np.delete(a						,		0						,		axis=0						)

    A__         =    1
    self.n_rows -= 1
    A__         =    0
    A__         =    False
    return tableau






 def 	_UpperCamelCase   (self					:     Optional[Any]						)					->      dict[Any, Any]:






    """simple docstring"""


    for _ in range(1_00						):
       # Completion of each stage removes an objective. If both stages
       # are complete, then no objectives are left
       if not self.objectives:
          A__         =    self.generate_col_titles(
              self.n_vars						,		self.n_slack						,		self.n_art_vars						)

          # Find the values of each variable at optimal solution
          return self.interpret_tableau(self.tableau						,		self.col_titles						)

       A__     , A__         =    self.find_pivot(self.tableau						)

       # If there are no more negative values in objective row
       if self.stop_iter:
          # Delete artificial variable columns and rows. Update attributes
          A__         =    self.change_stage(self.tableau						)
       else:
          A__         =    self.pivot(self.tableau						,		a						,		a						)
    return {}






 def 	_UpperCamelCase   (self					:     Optional[Any]						,		a					:     np.ndarray						,		a					:     list[str]						)					->      dict[str, float]:






    """simple docstring"""


    A__         =    {'P': abs(tableau[0, -1]						)}

    for i in range(self.n_vars						):
       # Gives ids of nonzero entries in the ith column
       A__         =    np.nonzero(tableau[:, i]						)
       A__         =    len(nonzero[0]						)

       # First entry in the nonzero ids
       A__         =    nonzero[0][0]
       A__         =    tableau[nonzero_rowidx, i]

       # If there is only one nonzero value in column, which is one
       if n_nonzero == nonzero_val == 1:
          A__         =    tableau[nonzero_rowidx, -1]
          A__         =    rhs_val

        # Check for basic variables
    for title in col_titles:
       # Don't add RHS or slack variables to output dict
       if title[0] not in "R-s-a":
          output_dict.setdefault(a						,		0						)
    return output_dict


if __name__ == "__main__":
    import doctest

    doctest.testmod()


