
"""simple docstring"""



from pathlib import Path

import cva
import numpy as np
from matplotlib import pyplot as plt


def  _UpperCamelCase	(						_A					,      _A					,      _A					,      _A					,      _A      )    ->  np.ndarray:





    """simple docstring"""

    _UpperCAmelCase          =   cva.getAffineTransform(_A					,      _A      )
    return cva.warpAffine(_A					,      _A					,      (rows, cols)      )


if __name__ == "__main__":
 # read original image
 a					:	List[Any]							=		cva.imread(
     str(Path(__file__).resolve().parent.parent / '''image_data''' / '''lena.jpg''')
 )
 # turn image in gray scale value
 a					:	Optional[Any]							=		cva.cvtColor(image, cva.COLOR_BGR2GRAY)
 # get image shape
 a		, a					:	Dict							=		gray_img.shape

 # set different points to rotate image
 a					:	str							=		np.array([[5_0, 5_0], [2_0_0, 5_0], [5_0, 2_0_0]], np.floataa)
 a					:	Union[str, Any]							=		np.array([[1_0, 1_0_0], [2_0_0, 5_0], [1_0_0, 2_5_0]], np.floataa)
 a					:	Union[str, Any]							=		np.array([[5_0, 5_0], [1_5_0, 5_0], [1_2_0, 2_0_0]], np.floataa)
 a					:	List[str]							=		np.array([[1_0, 1_0_0], [8_0, 5_0], [1_8_0, 2_5_0]], np.floataa)

 # add all rotated images in a list
 a					:	Any							=		[
     gray_img,
     get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
     get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
     get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
 ]

 # plot different image rotations
 a					:	Optional[int]							=		plt.figure(1)
 a					:	Dict							=		['''Original''', '''Rotation 1''', '''Rotation 2''', '''Rotation 3''']
 for i, image in enumerate(images):
  plt.subplot(2, 2, i + 1), plt.imshow(image, '''gray''')
  plt.title(titles[i])
  plt.axis('''off''')
  plt.subplots_adjust(left=0.0, bottom=0.05, right=1.0, top=0.95)
 plt.show()

"""simple docstring"""



from collections.abc import Callable

import numpy as np


def  _UpperCamelCase	(						_A					,      _A					,      _A					,      _A					,      _A      )    ->  np.array:





    """simple docstring"""

    _UpperCAmelCase          =   int(np.ceil((x_end - xa) / step_size      )      )
    _UpperCAmelCase          =   np.zeros((n + 1,)      )
    _UpperCAmelCase          =   ya
    _UpperCAmelCase          =   xa

    for k in range(_A      ):
        _UpperCAmelCase          =   y[k] + step_size * ode_func(_A					,      y[k]      )
        _UpperCAmelCase          =   y[k] + (
            (step_size / 2) * (ode_func(_A					,      y[k]      ) + ode_func(x + step_size					,      _A      ))
        )
        x += step_size

    return y


if __name__ == "__main__":
 import doctest

 doctest.testmod()