Files

101 lines
3.3 KiB
Python

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
)