





from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
lowerCamelCase__						=  20

# Time between time steps in seconds
lowerCamelCase__						=  INTERVAL / 10_00
class      __magic_name__       :




					def __init__(    self     ,					_a     ,					_a     ,					_a     ,					_a     ,					_a = 1.0     ,					_a = 1.0     ,					_a = "blue"     ,					)       -> Any:
							lowerCAmelCase_				=							position_x
							lowerCAmelCase_				=							position_y
							lowerCAmelCase_				=							velocity_x
							lowerCAmelCase_				=							velocity_y
							lowerCAmelCase_				=							mass
							lowerCAmelCase_				=							size
							lowerCAmelCase_				=							color




					@property
					def  __a			(    self		)       -> Optional[Any]:
							return self.position_x, self.position_y




					@property
					def  __a			(    self		)       -> int:
							return self.velocity_x, self.velocity_y




					def  __a			(    self     ,					_a     ,					_a     ,					_a		)       -> Optional[int]:
							self.velocity_x += force_x * delta_time
							self.velocity_y += force_y * delta_time




					def  __a			(    self     ,					_a		)       -> List[Any]:
							self.position_x += self.velocity_x * delta_time
							self.position_y += self.velocity_y * delta_time





class      __magic_name__       :




					def __init__(    self     ,					_a     ,					_a = 1.0     ,					_a = 1.0     ,					_a = 0.0     ,					)       -> Optional[int]:
							lowerCAmelCase_				=							bodies
							lowerCAmelCase_				=							gravitation_constant
							lowerCAmelCase_				=							time_factor
							lowerCAmelCase_				=							softening_factor




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




					def  __a			(    self     ,					_a		)       -> Any:
							for bodya in self.bodies:
									lowerCAmelCase_				=							0.0
									lowerCAmelCase_				=							0.0
									for bodya in self.bodies:
											if bodya != bodya:
													lowerCAmelCase_				=							bodya.position_x - bodya.position_x
													lowerCAmelCase_				=							bodya.position_y - bodya.position_y

													# Calculation of the distance using Pythagoras's theorem
													# Extra factor due to the softening technique
													lowerCAmelCase_				=							(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(__SCREAMING_SNAKE_CASE     ,					__SCREAMING_SNAKE_CASE     ,					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 	A(__a:       str		,					__a:       Optional[Any]		,					__a:       str							):
		body_system.update_system(lowercase__							)

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

def 	A(__a:       Optional[int]		,					__a:       Dict		,					__a:       Tuple = -1		,					__a:       int = 1		,					__a:       int = -1		,					__a:       Tuple = 1		,					):
		lowerCAmelCase_				=							plt.figure()
		fig.canvas.set_window_title(lowercase__							)
		lowerCAmelCase_				=							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
		lowerCAmelCase_				=							[
		    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(lowercase__							)

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

		lowerCAmelCase_				=							animation.FuncAnimation(  # noqa: F841
		    lowercase__		,					lowercase__		,					interval=lowercase__		,					blit=lowercase__							)

		plt.show()

def 	A():
		lowerCAmelCase_				=							0.970_0436
		lowerCAmelCase_				=							-0.2430_8753
		lowerCAmelCase_				=							0.4_6620_3685
		lowerCAmelCase_				=							0.4323_6573

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

def 	A():
		lowerCAmelCase_				=							7.34_76E22
		lowerCAmelCase_				=							5.9_72E24
		lowerCAmelCase_				=							1022
		lowerCAmelCase_				=							3_8439_9000
		lowerCAmelCase_				=							6.6_74E-11

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

		lowerCAmelCase_				=							Body(-earth_moon_distance		,					0		,					0		,					lowercase__		,					lowercase__		,					1000_0000		,					"grey"							)
		lowerCAmelCase_				=							Body(0		,					0		,					0		,					lowercase__		,					lowercase__		,					5000_0000		,					"blue"							)
		return BodySystem([earth, moon]		,					lowercase__		,					time_factor=100_0000							)

def 	A():
		lowerCAmelCase_				=							[]
		for _ in range(10							):
				lowerCAmelCase_				=							random.uniform(-0.5		,					0.5							)
				lowerCAmelCase_				=							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							)		,					lowercase__		,					lowercase__		,					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(lowercase__		,					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_30_00_00_00,
		    4_30_00_00_00,
		    -4_30_00_00_00,
		    4_30_00_00_00,
		)
		plot('''Random system with many bodies''', example_a(), -1.5, 1.5, -1.5, 1.5)




"""simple docstring"""




import textwrap

import pyarrow as pa
import pytest

from datasets import Features, Image
from datasets.packaged_modules.text.text import Text

from ..utils import require_pil
@pytest.fixture
def    __SCREAMING_SNAKE_CASE						(						lowercase__      ):
					"""simple docstring"""
					A			=					tmp_path / "text.txt"
					A			=					textwrap.dedent(
					    "\\n        Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.\n        Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.\n        Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.\n        Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.\n\n        Second paragraph:\n        Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.\n        Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.\n        Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.\n        Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.\n        "      )
					with open(lowercase__			,							"w"			,							encoding="utf-8"      ) as f:
										f.write(lowercase__      )
					return str(lowercase__      )
@pytest.fixture
def    __SCREAMING_SNAKE_CASE						(						lowercase__			,							lowercase__      ):
					"""simple docstring"""
					A			=					tmp_path / "text_with_image.txt"
					with open(lowercase__			,							"w"			,							encoding="utf-8"      ) as f:
										f.write(lowercase__      )
					return str(lowercase__      )
@pytest.mark.parametrize("keep_linebreaks"			,							[True, False]      )
def    __SCREAMING_SNAKE_CASE						(						lowercase__			,							lowercase__      ):
					"""simple docstring"""
					with open(lowercase__			,							encoding="utf-8"      ) as f:
										A			=					f.read().splitlines(keepends=lowercase__      )
					A			=					Text(keep_linebreaks=lowercase__			,							encoding="utf-8"      )
					A			=					text._generate_tables([[text_file]]      )
					A			=					pa.concat_tables([table for _, table in generator]      ).to_pydict()["text"]
					assert generated_content == expected_content
@require_pil
def    __SCREAMING_SNAKE_CASE						(						lowercase__      ):
					"""simple docstring"""
					with open(lowercase__			,							encoding="utf-8"      ) as f:
										A			=					f.read().splitlines()[0]
					A			=					Text(encoding="utf-8"			,							features=Features({"image": Image()}      )      )
					A			=					text._generate_tables([[text_file_with_image]]      )
					A			=					pa.concat_tables([table for _, table in generator]      )
					assert pa_table.schema.field("image"      ).type == Image()()
					A			=					pa_table.to_pydict()["image"]
					assert generated_content == [{"path": image_file, "bytes": None}]
@pytest.mark.parametrize("sample_by"			,							["line", "paragraph", "document"]      )
def    __SCREAMING_SNAKE_CASE						(						lowercase__			,							lowercase__      ):
					"""simple docstring"""
					with open(lowercase__			,							encoding="utf-8"      ) as f:
										A			=					f.read()
					if sample_by == "line":
										A			=					expected_content.splitlines()
					elif sample_by == "paragraph":
										A			=					expected_content.split("\n\n"      )
					elif sample_by == "document":
										A			=					[expected_content]
					A			=					Text(sample_by=lowercase__			,							encoding="utf-8"			,							chunksize=100      )
					A			=					text._generate_tables([[text_file]]      )
					A			=					pa.concat_tables([table for _, table in generator]      ).to_pydict()["text"]
					assert generated_content == expected_content





