


import logging

# standard libraries
import sys

import numpy as np
import pytest  # type: ignore

# Custom/local libraries
from matrix import matrix_operation as matop

UpperCAmelCase__            =							[[12, 10], [3, 9]]
UpperCAmelCase__            =							[[3, 4], [7, 4]]
UpperCAmelCase__            =							[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
UpperCAmelCase__            =							[[3, 0, -2], [2, 0, 2], [0, 1, 1]]
UpperCAmelCase__            =							[[3, 0, 2], [2, 0, -2], [0, 1, 1], [2, 0, -2]]
UpperCAmelCase__            =							[1]
UpperCAmelCase__            =							[2]

UpperCAmelCase__            =							logging.getLogger()
UpperCAmelCase__            =							logging.DEBUG
UpperCAmelCase__            =							logging.StreamHandler(sys.stdout)
logger.addHandler(stream_handler)
@pytest.mark.mat_ops
@pytest.mark.parametrize(
    ('''mat1''', '''mat2''')					,						[(mat_a, mat_b), (mat_c, mat_d), (mat_d, mat_e), (mat_f, mat_h)]						)
def     UpperCAmelCase_ (							__snake_case					,						__snake_case						)					->      Any:







 """simple docstring"""


 if (np.array(__snake_case						)).shape < (2, 2) or (np.array(__snake_case						)).shape < (2, 2):
  with pytest.raises(__snake_case						):
   logger.info(F"\n\t{test_addition.__name__} returned integer"						)
   matop.add(__snake_case					,						__snake_case						)
 elif (np.array(__snake_case						)).shape == (np.array(__snake_case						)).shape:
  logger.info(F"\n\t{test_addition.__name__} with same matrix dims"						)
  _lowercase											=(np.array(__snake_case						) + np.array(__snake_case						)).tolist()
  _lowercase											=matop.add(__snake_case					,						__snake_case						)
  assert theo == act
 else:
  with pytest.raises(__snake_case						):
   logger.info(F"\n\t{test_addition.__name__} with different matrix dims"						)
   matop.add(__snake_case					,						__snake_case						)
@pytest.mark.mat_ops
@pytest.mark.parametrize(
    ('''mat1''', '''mat2''')					,						[(mat_a, mat_b), (mat_c, mat_d), (mat_d, mat_e), (mat_f, mat_h)]						)
def     UpperCAmelCase_ (							__snake_case					,						__snake_case						)					->      Union[str, Any]:







 """simple docstring"""


 if (np.array(__snake_case						)).shape < (2, 2) or (np.array(__snake_case						)).shape < (2, 2):
  with pytest.raises(__snake_case						):
   logger.info(F"\n\t{test_subtraction.__name__} returned integer"						)
   matop.subtract(__snake_case					,						__snake_case						)
 elif (np.array(__snake_case						)).shape == (np.array(__snake_case						)).shape:
  logger.info(F"\n\t{test_subtraction.__name__} with same matrix dims"						)
  _lowercase											=(np.array(__snake_case						) - np.array(__snake_case						)).tolist()
  _lowercase											=matop.subtract(__snake_case					,						__snake_case						)
  assert theo == act
 else:
  with pytest.raises(__snake_case						):
   logger.info(F"\n\t{test_subtraction.__name__} with different matrix dims"						)
   assert matop.subtract(__snake_case					,						__snake_case						)
@pytest.mark.mat_ops
@pytest.mark.parametrize(
    ('''mat1''', '''mat2''')					,						[(mat_a, mat_b), (mat_c, mat_d), (mat_d, mat_e), (mat_f, mat_h)]						)
def     UpperCAmelCase_ (							__snake_case					,						__snake_case						)					->      Union[str, Any]:







 """simple docstring"""


 if (np.array(__snake_case						)).shape < (2, 2) or (np.array(__snake_case						)).shape < (2, 2):
  logger.info(F"\n\t{test_multiplication.__name__} returned integer"						)
  with pytest.raises(__snake_case						):
   matop.add(__snake_case					,						__snake_case						)
 elif (np.array(__snake_case						)).shape == (np.array(__snake_case						)).shape:
  logger.info(F"\n\t{test_multiplication.__name__} meets dim requirements"						)
  _lowercase											=(np.matmul(__snake_case					,						__snake_case						)).tolist()
  _lowercase											=matop.multiply(__snake_case					,						__snake_case						)
  assert theo == act
 else:
  with pytest.raises(__snake_case						):
   logger.info(
       F"\n\t{test_multiplication.__name__} does not meet dim requirements"						)
   assert matop.subtract(__snake_case					,						__snake_case						)
@pytest.mark.mat_ops
def     UpperCAmelCase_ (							)					->      List[Any]:







 """simple docstring"""


 _lowercase											=(3.5 * np.array(__snake_case						)).tolist()
 _lowercase											=matop.scalar_multiply(__snake_case					,						3.5						)
 assert theo == act
@pytest.mark.mat_ops
def     UpperCAmelCase_ (							)					->      int:







 """simple docstring"""


 _lowercase											=(np.identity(5						)).tolist()
 _lowercase											=matop.identity(5						)
 assert theo == act



@pytest.mark.mat_ops
@pytest.mark.parametrize('''mat'''					,						[mat_a, mat_b, mat_c, mat_d, mat_e, mat_f]						)
def     UpperCAmelCase_ (							__snake_case						)					->      List[Any]:







 """simple docstring"""


 if (np.array(__snake_case						)).shape < (2, 2):
  with pytest.raises(__snake_case						):
   logger.info(F"\n\t{test_transpose.__name__} returned integer"						)
   matop.transpose(__snake_case						)
 else:
  _lowercase											=(np.transpose(__snake_case						)).tolist()
  _lowercase											=matop.transpose(__snake_case					,						return_map=__snake_case						)
  assert theo == act





from __future__ import annotations

UpperCAmelCase__            =							[2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]







class 				lowerCamelCase__       :





     def __init__(self		,					UpperCAmelCase	)					->       None:
      _lowercase											=-1
      _lowercase											=-1
      _lowercase											=[-1] * length
      _lowercase											=None
      _lowercase											=None





     def __repr__(self	)					->       str:
      return f"Node(min_value={self.minn} max_value={self.maxx})"



def     UpperCAmelCase_ (							__snake_case						)					->      Node | None:







 """simple docstring"""


 _lowercase											=Node(len(__snake_case						)						)
 _lowercase				,   _lowercase											=min(__snake_case						), max(__snake_case						)
 # Leaf node case where the node contains only one unique value
 if root.minn == root.maxx:
  return root
 _lowercase											=(root.minn + root.maxx) // 2

 _lowercase											=[]
 _lowercase											=[]

 for index, num in enumerate(__snake_case						):
  if num <= pivot:
   left_arr.append(__snake_case						)
  else:
   right_arr.append(__snake_case						)
  _lowercase											=len(__snake_case						)
 _lowercase											=build_tree(__snake_case						)
 _lowercase											=build_tree(__snake_case						)
 return root
def     UpperCAmelCase_ (							__snake_case					,						__snake_case					,						__snake_case						)					->      int:







 """simple docstring"""


 if index < 0 or node is None:
  return 0
 # Leaf node cases
 if node.minn == node.maxx:
  return index + 1 if node.minn == num else 0
 _lowercase											=(node.minn + node.maxx) // 2
 if num <= pivot:
  # go the left subtree and map index to the left subtree
  return rank_till_index(node.left					,						__snake_case					,						node.map_left[index] - 1						)
 else:
  # go to the right subtree and map index to the right subtree
  return rank_till_index(node.right					,						__snake_case					,						index - node.map_left[index]						)
def     UpperCAmelCase_ (							__snake_case					,						__snake_case					,						__snake_case					,						__snake_case						)					->      int:







 """simple docstring"""


 if start > end:
  return 0
 _lowercase											=rank_till_index(__snake_case					,						__snake_case					,						__snake_case						)
 _lowercase											=rank_till_index(__snake_case					,						__snake_case					,						start - 1						)
 return rank_till_end - rank_before_start
def     UpperCAmelCase_ (							__snake_case					,						__snake_case					,						__snake_case					,						__snake_case						)					->      int:







 """simple docstring"""


 if index > (end - start) or start > end or node is None:
  return -1
 # Leaf node case
 if node.minn == node.maxx:
  return node.minn
 # Number of elements in the left subtree in interval [start, end]
 _lowercase											=node.map_left[end] - (
     node.map_left[start - 1] if start else 0
 )
 if num_elements_in_left_tree > index:
  return quantile(
      node.left					,						__snake_case					,						(node.map_left[start - 1] if start else 0)					,						node.map_left[end] - 1					,						)
 else:
  return quantile(
      node.right					,						index - num_elements_in_left_tree					,						start - (node.map_left[start - 1] if start else 0)					,						end - node.map_left[end]					,						)
def     UpperCAmelCase_ (							__snake_case					,						__snake_case					,						__snake_case					,						__snake_case					,						__snake_case						)					->      int:







 """simple docstring"""


 if (
     start > end
     or node is None
     or start_num > end_num
     or node.minn > end_num
     or node.maxx < start_num
 ):
  return 0
 if start_num <= node.minn and node.maxx <= end_num:
  return end - start + 1
 _lowercase											=range_counting(
     node.left					,						(node.map_left[start - 1] if start else 0)					,						node.map_left[end] - 1					,						__snake_case					,						__snake_case					,						)
 _lowercase											=range_counting(
     node.right					,						start - (node.map_left[start - 1] if start else 0)					,						end - node.map_left[end]					,						__snake_case					,						__snake_case					,						)
 return left + right


if __name__ == "__main__":
  import doctest

  doctest.testmod()

