





import cva
import numpy as np



class        _SCREAMING_SNAKE_CASE						:







 '''simple docstring'''

 def __init__(self    :       Tuple	,			UpperCAmelCase_    :       float	,			UpperCAmelCase_    :       int)	->List[Any]:



   '''simple docstring'''



   if k in (0.04, 0.06):
     lowerCamelCase__:				int        =k
     lowerCamelCase__:				List[Any]        =window_size
   else:
     raise ValueError("invalid k value")

 def __str__(self    :       str)	->str:



   '''simple docstring'''



   return str(self.k)







 def 							SCREAMING_SNAKE_CASE_ (self    :       Union[str, Any]	,			UpperCAmelCase_    :       str)	->tuple[cva.Mat, list[list[int]]]:



   '''simple docstring'''



   lowerCamelCase__:				int        =cva.imread(UpperCAmelCase_	,			0)
   lowerCamelCase__  , lowerCamelCase__:				List[Any]        =img.shape
   lowerCamelCase__:				list[list[int]]        =[]
   lowerCamelCase__:				List[str]        =img.copy()
   lowerCamelCase__:				Optional[Any]        =cva.cvtColor(UpperCAmelCase_	,			cva.COLOR_GRAY2RGB)
   lowerCamelCase__  , lowerCamelCase__:				int        =np.gradient(UpperCAmelCase_)
   lowerCamelCase__:				List[str]        =dx**2
   lowerCamelCase__:				Optional[int]        =dy**2
   lowerCamelCase__:				List[str]        =dx * dy
   lowerCamelCase__:				Optional[Any]        =0.04
   lowerCamelCase__:				Optional[Any]        =self.window_size // 2
   for y in range(UpperCAmelCase_	,			h - offset):
     for x in range(UpperCAmelCase_	,			w - offset):
       lowerCamelCase__:				str        =ixx[
           y - offset : y + offset + 1, x - offset : x + offset + 1
       ].sum()
       lowerCamelCase__:				List[str]        =iyy[
           y - offset : y + offset + 1, x - offset : x + offset + 1
       ].sum()
       lowerCamelCase__:				List[str]        =ixy[
           y - offset : y + offset + 1, x - offset : x + offset + 1
       ].sum()

       lowerCamelCase__:				str        =(wxx * wyy) - (wxy**2)
       lowerCamelCase__:				Any        =wxx + wyy
       lowerCamelCase__:				Any        =det - k * (trace**2)
       # Can change the value
       if r > 0.5:
         corner_list.append([x, y, r])
         color_img.itemset((y, x, 0)	,			0)
         color_img.itemset((y, x, 1)	,			0)
         color_img.itemset((y, x, 2)	,			255)
   return color_img, corner_list


if __name__ == "__main__":
     __A     =    HarrisCorner(0.0_4, 3)
     __A ,     __A     =    edge_detect.detect("path_to_image")
     cva.imwrite("detect.png", color_img)








from __future__ import annotations

from typing import Any



class        _SCREAMING_SNAKE_CASE						:







 '''simple docstring'''

 def __init__(self    :       Tuple	,			UpperCAmelCase_    :       int	,			UpperCAmelCase_    :       int	,			UpperCAmelCase_    :       float = 0)	->None:



   '''simple docstring'''



   lowerCamelCase__  , lowerCamelCase__:				Any        =row, column
   lowerCamelCase__:				List[str]        =[[default_value for c in range(UpperCAmelCase_)] for r in range(UpperCAmelCase_)]

 def __str__(self    :       Tuple)	->str:



   '''simple docstring'''



   lowerCamelCase__:				Union[str, Any]        =F"""Matrix consist of {self.row} rows and {self.column} columns\n"""

   # Make string identifier
   lowerCamelCase__:				List[str]        =0
   for row_vector in self.array:
     for obj in row_vector:
       lowerCamelCase__:				int        =max(UpperCAmelCase_	,			len(str(UpperCAmelCase_)))
   lowerCamelCase__:				Any        =F"""%{max_element_length}s"""

   # Make string and return
   def single_line(UpperCAmelCase_    :       list[float]) -> str:
     nonlocal string_format_identifier
     lowerCamelCase__:				Tuple        ="["
     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])	->str:



   '''simple docstring'''



   return str(self)

 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[int]	,			UpperCAmelCase_    :       tuple[int, int])	->bool:



   '''simple docstring'''



   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    :       int	,			UpperCAmelCase_    :       tuple[int, int])	->Any:



   '''simple docstring'''



   assert self.validate_indicies(UpperCAmelCase_)
   return self.array[loc[0]][loc[1]]

 def __setitem__(self    :       Optional[Any]	,			UpperCAmelCase_    :       tuple[int, int]	,			UpperCAmelCase_    :       float)	->None:



   '''simple docstring'''



   assert self.validate_indicies(UpperCAmelCase_)
   lowerCamelCase__:				str        =value

 def __add__(self    :       Dict	,			UpperCAmelCase_    :       Matrix)	->Matrix:



   '''simple docstring'''



   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__:				List[str]        =self[r, c] + another[r, c]
   return result

 def __neg__(self    :       str)	->Matrix:



   '''simple docstring'''



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

 def __sub__(self    :       str	,			UpperCAmelCase_    :       Matrix)	->Matrix:



   '''simple docstring'''



   return self + (-another)

 def __mul__(self    :       List[str]	,			UpperCAmelCase_    :       int | float | Matrix)	->Matrix:



   '''simple docstring'''



   if isinstance(UpperCAmelCase_	,			(int, float)):  # Scalar multiplication
     lowerCamelCase__:				List[Any]        =Matrix(self.row	,			self.column)
     for r in range(self.row):
       for c in range(self.column):
         lowerCamelCase__:				Union[str, Any]        =self[r, c] * another
     return result
   elif isinstance(UpperCAmelCase_	,			UpperCAmelCase_):  # Matrix multiplication
     assert self.column == another.row
     lowerCamelCase__:				Dict        =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__:				int        =F"""Unsupported type given for another ({type(UpperCAmelCase_)})"""
     raise TypeError(UpperCAmelCase_)

 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[Any])	->Matrix:



   '''simple docstring'''



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







 def 							SCREAMING_SNAKE_CASE_ (self    :       Optional[Any]	,			UpperCAmelCase_    :       Matrix	,			UpperCAmelCase_    :       Matrix)	->Any:



   '''simple docstring'''



   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__:				Tuple        =v.transpose()
   lowerCamelCase__:				Optional[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 					lowerCAmelCase_			(	)					->		None:







       """simple docstring"""





       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__:				Optional[int]        =Matrix(3     ,   1     ,   0		)
       lowerCamelCase__  , lowerCamelCase__  , lowerCamelCase__:				int        =1, 2, -3
       lowerCamelCase__:				Optional[Any]        =Matrix(3     ,   1     ,   0		)
       lowerCamelCase__  , lowerCamelCase__  , 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(__a     ,   __a		)}"""		)





     def 					lowerCAmelCase_			(	)					->		None:







       """simple docstring"""





       import doctest

       doctest.testmod()






     testa()

