
"""simple docstring"""

from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
SCREAMING_SNAKE_CASE_         =  20

# Time between time steps in seconds
SCREAMING_SNAKE_CASE_         =  INTERVAL / 1000
class        _UpperCAmelCase							:




      def __init__(							self				,    lowercase_				,    lowercase_				,    lowercase_				,    lowercase_				,    lowercase_ = 1.0				,    lowercase_ = 1.0				,    lowercase_ = "blue"				,    )  ->   None:
          UpperCAmelCase       =   position_x
          UpperCAmelCase       =   position_y
          UpperCAmelCase       =   velocity_x
          UpperCAmelCase       =   velocity_y
          UpperCAmelCase       =   mass
          UpperCAmelCase       =   size
          UpperCAmelCase       =   color




      @property
      def       a_ (							self							)  ->   tuple[float, float]:
          return self.position_x, self.position_y




      @property
      def       a_ (							self							)  ->   tuple[float, float]:
          return self.velocity_x, self.velocity_y




      def       a_ (							self				,    lowercase_				,    lowercase_				,    lowercase_							)  ->   None:
          self.velocity_x += force_x * delta_time
          self.velocity_y += force_y * delta_time




      def       a_ (							self				,    lowercase_							)  ->   None:
          self.position_x += self.velocity_x * delta_time
          self.position_y += self.velocity_y * delta_time

class        _UpperCAmelCase							:




      def __init__(							self				,    lowercase_				,    lowercase_ = 1.0				,    lowercase_ = 1.0				,    lowercase_ = 0.0				,    )  ->   None:
          UpperCAmelCase       =   bodies
          UpperCAmelCase       =   gravitation_constant
          UpperCAmelCase       =   time_factor
          UpperCAmelCase       =   softening_factor




      def __len__(							self							)  ->   int:
          return len(self.bodies							)




      def       a_ (							self				,    lowercase_							)  ->   None:
          for bodya in self.bodies:
              UpperCAmelCase       =   0.0
              UpperCAmelCase       =   0.0
              for bodya in self.bodies:
                  if bodya != bodya:
                      UpperCAmelCase       =   bodya.position_x - bodya.position_x
                      UpperCAmelCase       =   bodya.position_y - bodya.position_y

                      # Calculation of the distance using Pythagoras's theorem
                      # Extra factor due to the softening technique
                      UpperCAmelCase       =   (dif_x**2 + dif_y**2 + self.softening_factor) ** (
                          1 / 2
                      )

                      # Newton's law of universal gravitation.
                      force_x += (
                          self.gravitation_constant * bodya.mass * dif_x / distance**3
                      )
                      force_y += (
                          self.gravitation_constant * bodya.mass * dif_y / distance**3
                      )

            # Update the body's velocity once all the force components have been added
              bodya.update_velocity(lowercase_				,    lowercase_				,    delta_time * self.time_factor							)

          # Update the positions only after all the velocities have been updated
          for body in self.bodies:
              body.update_position(delta_time * self.time_factor							)




def       lowercase__  (   lowerCAmelCase			:   BodySystem	,			lowerCAmelCase			:   float	,			lowerCAmelCase			:   list[plt.Circle]	)	-> None:






    """simple docstring"""




    body_system.update_system(lowerCAmelCase	)

    # Update the positions of the patches
    for patch, body in zip(lowerCAmelCase	,			body_system.bodies	):
        UpperCAmelCase       =   (body.position_x, body.position_y)




def       lowercase__  (   lowerCAmelCase			:   str	,			lowerCAmelCase			:   BodySystem	,			lowerCAmelCase			:   float = -1	,			lowerCAmelCase			:   float = 1	,			lowerCAmelCase			:   float = -1	,			lowerCAmelCase			:   float = 1	,			)	-> None:






    """simple docstring"""




    UpperCAmelCase       =   plt.figure()
    fig.canvas.set_window_title(lowerCAmelCase	)
    UpperCAmelCase       =   plt.axes(
        xlim=(x_start, x_end)	,			ylim=(y_start, y_end)	)  # Set section to be plotted
    plt.gca().set_aspect('equal'	)  # Fix aspect ratio

    # Each body is drawn as a patch by the plt-function
    UpperCAmelCase       =   [
        plt.Circle((body.position_x, body.position_y)	,			body.size	,			fc=body.color	)
        for body in body_system.bodies
    ]

    for patch in patches:
        ax.add_patch(lowerCAmelCase	)

    # Function called at each step of the animation
    def update(lowerCAmelCase			:   int	) -> list[plt.Circle]:
        update_step(lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	)
        return patches

    UpperCAmelCase       =   animation.FuncAnimation(  # noqa: F841
        lowerCAmelCase	,			lowerCAmelCase	,			interval=lowerCAmelCase	,			blit=lowerCAmelCase	)

    plt.show()




def       lowercase__  (   )	-> BodySystem:






    """simple docstring"""




    UpperCAmelCase       =   0.970_0436
    UpperCAmelCase       =   -0.2430_8753
    UpperCAmelCase       =   0.4_6620_3685
    UpperCAmelCase       =   0.4323_6573

    UpperCAmelCase       =   [
        Body(lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	,			size=0.2	,			color='red'	),
        Body(-position_x	,			-position_y	,			lowerCAmelCase	,			lowerCAmelCase	,			size=0.2	,			color='green'	),
        Body(0	,			0	,			-2 * velocity_x	,			-2 * velocity_y	,			size=0.2	,			color='blue'	),
    ]
    return BodySystem(lowerCAmelCase	,			time_factor=3	)




def       lowercase__  (   )	-> BodySystem:






    """simple docstring"""




    UpperCAmelCase       =   7.3_4_7_6E2_2
    UpperCAmelCase       =   5.9_7_2E2_4
    UpperCAmelCase       =   1_022
    UpperCAmelCase       =   384_399_000
    UpperCAmelCase       =   6.6_7_4E-1_1

    # Calculation of the respective velocities so that total impulse is zero,
    # i.e. the two bodies together don't move
    UpperCAmelCase       =   earth_mass * velocity_dif / (earth_mass + moon_mass)
    UpperCAmelCase       =   moon_velocity - velocity_dif

    UpperCAmelCase       =   Body(-earth_moon_distance	,			0	,			0	,			lowerCAmelCase	,			lowerCAmelCase	,			10_000_000	,			'grey'	)
    UpperCAmelCase       =   Body(0	,			0	,			0	,			lowerCAmelCase	,			lowerCAmelCase	,			50_000_000	,			'blue'	)
    return BodySystem([earth, moon]	,			lowerCAmelCase	,			time_factor=1_000_000	)




def       lowercase__  (   )	-> BodySystem:






    """simple docstring"""




    UpperCAmelCase       =   []
    for _ in range(10	):
        UpperCAmelCase       =   random.uniform(-0.5	,			0.5	)
        UpperCAmelCase       =   random.uniform(-0.5	,			0.5	)

        # Bodies are created pairwise with opposite velocities so that the
        # total impulse remains zero
        bodies.append(
            Body(
                random.uniform(-0.5	,			0.5	)	,			random.uniform(-0.5	,			0.5	)	,			lowerCAmelCase	,			lowerCAmelCase	,			size=0.05	,			)	)
        bodies.append(
            Body(
                random.uniform(-0.5	,			0.5	)	,			random.uniform(-0.5	,			0.5	)	,			-velocity_x	,			-velocity_y	,			size=0.05	,			)	)
    return BodySystem(lowerCAmelCase	,			0.01	,			10	,			0.1	)


if __name__ == "__main__":
   plot('''Figure-8 solution to the 3-body-problem''', example_a(), -2, 2, -2, 2)
   plot(
       '''Moon\'s orbit around the earth''',
       example_a(),
       -4_3000_0000,
       4_3000_0000,
       -4_3000_0000,
       4_3000_0000,
   )
   plot('''Random system with many bodies''', example_a(), -1.5, 1.5, -1.5, 1.5)





"""simple docstring"""

import cva
import numpy as np

from digital_image_processing.filters.convolve import img_convolve
from digital_image_processing.filters.sobel_filter import sobel_filter

SCREAMING_SNAKE_CASE_         =  180




def       lowercase__  (   lowerCAmelCase			:   str	,			lowerCAmelCase			:   List[Any]	)	-> Any:






    """simple docstring"""




    UpperCAmelCase       =   k_size // 2
    UpperCAmelCase     ,							UpperCAmelCase       =   np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
    UpperCAmelCase       =   (
        1
        / (2 * np.pi * sigma)
        * np.exp(-(np.square(lowerCAmelCase	) + np.square(lowerCAmelCase	)) / (2 * np.square(lowerCAmelCase	))	)
    )
    return g




def       lowercase__  (   lowerCAmelCase			:   int	,			lowerCAmelCase			:   List[str]	,			lowerCAmelCase			:   Union[str, Any]	)	-> List[Any]:






    """simple docstring"""




    UpperCAmelCase       =   np.zeros(lowerCAmelCase	)

    for row in range(1	,			image_shape[0] - 1	):
        for col in range(1	,			image_shape[1] - 1	):
            UpperCAmelCase       =   gradient_direction[row, col]

            if (
                0 <= direction < PI / 8
                or 15 * PI / 8 <= direction <= 2 * PI
                or 7 * PI / 8 <= direction <= 9 * PI / 8
            ):
                UpperCAmelCase       =   sobel_grad[row, col - 1]
                UpperCAmelCase       =   sobel_grad[row, col + 1]
                if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
                    UpperCAmelCase       =   sobel_grad[row, col]

            elif (
                PI / 8 <= direction < 3 * PI / 8
                or 9 * PI / 8 <= direction < 11 * PI / 8
            ):
                UpperCAmelCase       =   sobel_grad[row + 1, col - 1]
                UpperCAmelCase       =   sobel_grad[row - 1, col + 1]
                if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
                    UpperCAmelCase       =   sobel_grad[row, col]

            elif (
                3 * PI / 8 <= direction < 5 * PI / 8
                or 11 * PI / 8 <= direction < 13 * PI / 8
            ):
                UpperCAmelCase       =   sobel_grad[row - 1, col]
                UpperCAmelCase       =   sobel_grad[row + 1, col]
                if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
                    UpperCAmelCase       =   sobel_grad[row, col]

            elif (
                5 * PI / 8 <= direction < 7 * PI / 8
                or 13 * PI / 8 <= direction < 15 * PI / 8
            ):
                UpperCAmelCase       =   sobel_grad[row - 1, col - 1]
                UpperCAmelCase       =   sobel_grad[row + 1, col + 1]
                if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
                    UpperCAmelCase       =   sobel_grad[row, col]

    return destination




def       lowercase__  (   lowerCAmelCase			:   List[str]	,			lowerCAmelCase			:   Any	,			lowerCAmelCase			:   Union[str, Any]	,			lowerCAmelCase			:   List[str]	,			lowerCAmelCase			:   Any	,			lowerCAmelCase			:   List[str]	)	-> Any:






    """simple docstring"""




    for row in range(1	,			image_shape[0] - 1	):
        for col in range(1	,			image_shape[1] - 1	):
            if destination[row, col] >= threshold_high:
                UpperCAmelCase       =   strong
            elif destination[row, col] <= threshold_low:
                UpperCAmelCase       =   0
            else:
                UpperCAmelCase       =   weak




def       lowercase__  (   lowerCAmelCase			:   List[str]	,			lowerCAmelCase			:   Union[str, Any]	,			lowerCAmelCase			:   Tuple	,			lowerCAmelCase			:   Dict	)	-> List[str]:






    """simple docstring"""




    for row in range(1	,			image_shape[0]	):
        for col in range(1	,			image_shape[1]	):
            if destination[row, col] == weak:
                if 255 in (
                    destination[row, col + 1],
                    destination[row, col - 1],
                    destination[row - 1, col],
                    destination[row + 1, col],
                    destination[row - 1, col - 1],
                    destination[row + 1, col - 1],
                    destination[row - 1, col + 1],
                    destination[row + 1, col + 1],
                ):
                    UpperCAmelCase       =   strong
                else:
                    UpperCAmelCase       =   0




def       lowercase__  (   lowerCAmelCase			:   Optional[Any]	,			lowerCAmelCase			:   int=15	,			lowerCAmelCase			:   Dict=30	,			lowerCAmelCase			:   str=128	,			lowerCAmelCase			:   Optional[Any]=255	)	-> Union[str, Any]:






    """simple docstring"""




    UpperCAmelCase       =   img_convolve(lowerCAmelCase	,			gen_gaussian_kernel(9	,			sigma=1.4	)	)
    # get the gradient and degree by sobel_filter
    UpperCAmelCase     ,							UpperCAmelCase       =   sobel_filter(lowerCAmelCase	)
    UpperCAmelCase       =   PI + np.radadeg(lowerCAmelCase	)

    UpperCAmelCase       =   suppress_non_maximum(image.shape	,			lowerCAmelCase	,			lowerCAmelCase	)

    detect_high_low_threshold(
        image.shape	,			lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	)

    track_edge(image.shape	,			lowerCAmelCase	,			lowerCAmelCase	,			lowerCAmelCase	)

    return destination


if __name__ == "__main__":
   # read original image in gray mode
   SCREAMING_SNAKE_CASE_         =  cva.imread(r'''../image_data/lena.jpg''', 0)
   # canny edge detection
   SCREAMING_SNAKE_CASE_         =  canny(lena)
   cva.imshow('''canny''', canny_destination)
   cva.waitKey(0)



