Files
simulator-games/game/double_pendulum_simulator/game.py

97 lines
3.8 KiB
Python

import arcade, arcade.gui, json, os, math
from game.base import BaseGame
class Game(BaseGame):
def __init__(self, pypresence_client):
super().__init__(pypresence_client, "Double Pendulum Simulator", "double_pendulum_simulator", {
"length_a": 200,
"length_b": 200,
"mass_a": 40,
"mass_b": 40,
"gravity": 9.81,
"speed": 1.0,
"trail_size": 500
})
self.theta_a, self.theta_b = math.pi / 2, math.pi / 2
self.omega_a, self.omega_b = 0, 0
self.origin_x, self.origin_y = self.window.width * 0.4, self.window.height / 2
self.trace = []
def on_show_view(self):
super().on_show_view()
self.add_setting("Length A: {value}", 5, 500, 5, "length_a")
self.add_setting("Length B: {value}", 5, 500, 5, "length_b")
self.add_setting("Mass A: {value}", 1, 100, 1, "mass_a")
self.add_setting("Mass B: {value}", 1, 100, 1, "mass_b")
self.add_setting("Gravity: {value}", 0, 25, 0.01, "gravity")
self.add_setting("Speed: {value}", 1, 100, 1, "speed")
self.add_setting("Trail Size: {value}", 0, 5000, 50, "trail_size")
def on_draw(self):
super().on_draw()
current_settings = self.settings["double_pendulum_simulator"]
L1, L2 = current_settings["length_a"], current_settings["length_b"]
m1, m2 = current_settings["mass_a"], current_settings["mass_b"]
x1 = self.origin_x + L1 * math.sin(self.theta_a)
y1 = self.origin_y - L1 * math.cos(self.theta_a)
x2 = x1 + L2 * math.sin(self.theta_b)
y2 = y1 - L2 * math.cos(self.theta_b)
arcade.draw_line(self.origin_x, self.origin_y, x1, y1, arcade.color.BLACK, 2)
arcade.draw_line(x1, y1, x2, y2, arcade.color.BLACK, 2)
arcade.draw_circle_filled(x1, y1, m1 / 2, arcade.color.RED)
arcade.draw_circle_filled(x2, y2, m2 / 2, arcade.color.BLUE)
arcade.draw_points(self.trace, arcade.color.GREEN, 2)
def on_update(self, dt):
for _ in range(int(self.settings["double_pendulum_simulator"]["speed"])):
current_settings = self.settings["double_pendulum_simulator"]
g = current_settings["gravity"]
m1, m2 = current_settings["mass_a"], current_settings["mass_b"]
L1, L2 = current_settings["length_a"], current_settings["length_b"]
t1, t2 = self.theta_a, self.theta_b
w1, w2 = self.omega_a, self.omega_b
num1 = -g * (2 * m1 + m2) * math.sin(t1)
num2 = -m2 * g * math.sin(t1 - 2 * t2)
num3 = -2 * math.sin(t1 - t2) * m2 * (w2 ** 2 * L2 + w1 ** 2 * L1 * math.cos(t1 - t2))
den = L1 * (2 * m1 + m2 - m2 * math.cos(2 * t1 - 2 * t2))
a1 = (num1 + num2 + num3) / den
num1 = 2 * math.sin(t1 - t2)
num2 = w1 ** 2 * L1 * (m1 + m2)
num3 = g * (m1 + m2) * math.cos(t1)
num4 = w2 ** 2 * L2 * m2 * math.cos(t1 - t2)
den = L2 * (2 * m1 + m2 - m2 * math.cos(2 * t1 - 2 * t2))
a2 = (num1 * (num2 + num3 + num4)) / den
self.omega_a += a1 * dt
self.omega_b += a2 * dt
self.theta_a += self.omega_a * dt
self.theta_b += self.omega_b * dt
x1 = self.origin_x + L1 * math.sin(self.theta_a)
y1 = self.origin_y - L1 * math.cos(self.theta_a)
x2 = x1 + L2 * math.sin(self.theta_b)
y2 = y1 - L2 * math.cos(self.theta_b)
if not current_settings["trail_size"] == 0:
self.trace.append((x2, y2))
if len(self.trace) > current_settings["trail_size"]:
self.trace = self.trace[-int(current_settings["trail_size"]):]
else:
self.trace = []