

from __future__ import annotations

from typing import Any




def       UpperCAmelCase__    (      *_A				:			List[str]							):





  '''simple docstring'''







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




def       UpperCAmelCase__    (      _A				:			Union[str, Any]     ,				_A				:			Optional[int]							):





  '''simple docstring'''







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




def       UpperCAmelCase__    (      _A				:			List[Any]     ,				_A				:			List[Any]							):





  '''simple docstring'''







  return [[x * n for x in row] for row in matrix]




def       UpperCAmelCase__    (      _A				:			List[Any]     ,				_A				:			Dict							):





  '''simple docstring'''







  if _check_not_integer(_UpperCamelCase							) and _check_not_integer(_UpperCamelCase							):
    a__  =_verify_matrix_sizes(_UpperCamelCase     ,				_UpperCamelCase							)

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




def       UpperCAmelCase__    (      _A				:			Optional[Any]							):





  '''simple docstring'''







  a__  =int(_UpperCamelCase							)
  return [[int(row == column							) for column in range(_UpperCamelCase							)] for row in range(_UpperCamelCase							)]




def       UpperCAmelCase__    (      _A				:			Any     ,				_A				:			Union[str, Any] = True							):





  '''simple docstring'''







  if _check_not_integer(_UpperCamelCase							):
    if return_map:
      return map(_UpperCamelCase     ,				zip(*_UpperCamelCase							)							)
    else:
      return list(map(_UpperCamelCase     ,				zip(*_UpperCamelCase							)							)							)
  raise TypeError('''Expected a matrix, got int/list instead'''							)




def       UpperCAmelCase__    (      _A				:			List[str]     ,				_A				:			Union[str, Any]     ,				_A				:			str							):





  '''simple docstring'''







  a__  =matrix[:row] + matrix[row + 1 :]
  return [row[:column] + row[column + 1 :] for row in minor]




def       UpperCAmelCase__    (      _A				:			Dict							):





  '''simple docstring'''







  if len(_UpperCamelCase							) == 1:
    return matrix[0][0]

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




def       UpperCAmelCase__    (      _A				:			int							):





  '''simple docstring'''







  a__  =determinant(_UpperCamelCase							)
  if det == 0:
    return None

  a__  =[
      [determinant(minor(_UpperCamelCase     ,				_UpperCamelCase     ,				_UpperCamelCase							)							) for j in range(len(_UpperCamelCase							)							)]
      for i in range(len(_UpperCamelCase							)							)
  ]

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




def       UpperCAmelCase__    (      _A				:			Tuple							):





  '''simple docstring'''







  return not isinstance(_UpperCamelCase     ,				_UpperCamelCase							) and not isinstance(matrix[0]     ,				_UpperCamelCase							)




def       UpperCAmelCase__    (      _A				:			int							):





  '''simple docstring'''







  return len(_UpperCamelCase							), len(matrix[0]							)




def       UpperCAmelCase__    (      _A				:			int     ,				_A				:			List[Any]							):





  '''simple docstring'''







  a__  =_shape(_UpperCamelCase							) + _shape(_UpperCamelCase							)
  if shape[0] != shape[3] or shape[1] != shape[2]:
    a__  =(
        "operands could not be broadcast together with shape "
        F"""({shape[0], shape[1]}), ({shape[2], shape[3]})"""
    )
    raise ValueError(_UpperCamelCase							)
  return (shape[0], shape[2]), (shape[1], shape[3])




def       UpperCAmelCase__    (      ):





  '''simple docstring'''







  a__  =[[12, 10], [3, 9]]
  a__  =[[3, 4], [7, 4]]
  a__  =[[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
  a__  =[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
  print(F"""Add Operation, {add(_UpperCamelCase     ,				_UpperCamelCase							) = } \n"""							)
  print(
      F"""Multiply Operation, {multiply(_UpperCamelCase     ,				_UpperCamelCase							) = } \n"""     ,				)
  print(F"""Identity: {identity(5							)}\n"""							)
  print(F"""Minor of {matrix_c} = {minor(_UpperCamelCase     ,				1     ,				2							)} \n"""							)
  print(F"""Determinant of {matrix_b} = {determinant(_UpperCamelCase							)} \n"""							)
  print(F"""Inverse of {matrix_d} = {inverse(_UpperCamelCase							)}\n"""							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       main()



# tests directory-specific settings - this file is run automatically
# by pytest before any tests are run

import sys
import warnings
from os.path import abspath, dirname, join


# allow having multiple repository checkouts and not needing to remember to rerun
# 'pip install -e .[dev]' when switching between checkouts and running tests.
lowerCamelCase									= abspath(join(dirname(dirname(dirname(__file__))), '''src'''))
sys.path.insert(1, git_repo_path)


# silence FutureWarning warnings in tests since often we can't act on them until
# they become normal warnings - i.e. the tests still need to test the current functionality
warnings.simplefilter(action='''ignore''', category=FutureWarning)




def       UpperCAmelCase__    (      _A				:			List[Any]							):





  '''simple docstring'''







  from diffusers.utils.testing_utils import pytest_addoption_shared

  pytest_addoption_shared(_A							)




def       UpperCAmelCase__    (      _A				:			int							):





  '''simple docstring'''







  from diffusers.utils.testing_utils import pytest_terminal_summary_main

  a__  =terminalreporter.config.getoption('''--make-reports'''							)
  if make_reports:
    pytest_terminal_summary_main(_A     ,				id=_A							)
