import arcade, arcade.gui, os, json, numpy as np from scipy.interpolate import interp1d from game.base import BaseGame class Game(BaseGame): def __init__(self, pypresence_client): super().__init__(pypresence_client, "Fourier Simulator", "fourier_simulator", { "max_coefficients": 1000, "speed": 1.0, "tail_size": 1000, "resampling_size": 512 }) self.path_points = [] self.drawing_done = False self.fourier_coefficients = [] self.drawing_trail = [] self.time = 0.0 def on_show_view(self): super().on_show_view() self.add_setting("Max Coefficients: {value}", 1, 10000, 1, "max_coefficients") self.add_setting("Speed: {value}", 0.1, 1.5, 0.1, "speed") self.add_setting("Tail Size: {value}", 10, 1000, 10, "tail_size") self.add_setting("Resampling Size: {value}", 128, 8192, 128, "resampling_size") def on_mouse_press(self, x, y, button, modifiers): self.path_points = [] self.drawing_trail.clear() self.drawing_done = False def on_mouse_release(self, x, y, button, modifiers): self.drawing_done = True self.calculate_fourier_coefficients() def calculate_drawing_point(self, t): pos = 0j for i, c in enumerate(self.fourier_coefficients): k = i - (len(self.fourier_coefficients) // 2) angle = 2 * np.pi * k * t pos += c * np.exp(1j * angle) return float(pos.real), float(pos.imag) def resample_path(self, path_points, N): t = np.linspace(0, 1, len(path_points)) fx = interp1d(t, path_points.real, kind='linear') fy = interp1d(t, path_points.imag, kind='linear') t_uniform = np.linspace(0, 1, N) return fx(t_uniform) + 1j * fy(t_uniform) def calculate_fourier_coefficients(self): if not self.path_points: return c_points = np.array(self.path_points) c_points = self.resample_path(c_points, int(self.settings["fourier_simulator"]["resampling_size"])) coeffs = np.fft.fftshift(np.fft.fft(c_points) / len(c_points)) self.fourier_coefficients = np.array(coeffs[:int(self.settings["fourier_simulator"]["max_coefficients"])], dtype=np.complex64) def on_mouse_drag(self, x, y, dx, dy, _buttons, _modifiers): if not self.drawing_done: self.path_points.append(complex(x / self.window.width, y / self.window.height)) def on_update(self, delta_time): self.time += delta_time if self.drawing_done: t_normalized = (self.time * self.settings["fourier_simulator"]["speed"]) % 1.0 x, y = self.calculate_drawing_point(t_normalized) pixel_x = x * self.window.width pixel_y = y * self.window.height self.drawing_trail.append((pixel_x, pixel_y)) if len(self.drawing_trail) > self.settings["fourier_simulator"]["tail_size"]: self.drawing_trail.pop(0) def on_draw(self): super().on_draw() if len(self.drawing_trail) > 1: arcade.draw_line_strip( self.drawing_trail, color=arcade.color.WHITE, line_width=2 )