粒子爱心♥
主要功能说明
程序创建了一个黑色背景的窗口，其中会显示一个不断动态变化的粉色爱心。爱心由大量的小方块组成，这些方块会按照一定的数学规律移动，模拟出心跳和扩散的效果。
核心代码解析
- 爱心函数（heart_function）
python
def heart_function(t, shrink_ratio: float = IMAGE_ENLARGE):
x = 16 * (sin(t) ** 3)
y = -(13 * cos(t) - 5 * cos(2 * t) - 2 * cos(3 * t) - cos(4 * t))
x *= shrink_ratio
y *= shrink_ratio
x += CANVAS_CENTER_X
y += CANVAS_CENTER_Y
return int(x), int(y)这是绘制爱心的数学公式，通过参数t（角度）计算出爱心上的点坐标，再经过缩放和平移使其居中显示在画布上。
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扩散函数
scatter_inside：生成爱心内部的随机扩散点shrink：使点向中心收缩，产生聚集效果
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Heart 类这个类负责管理所有构成爱心的点：
__init__：初始化并构建爱心的各种点集合build：创建原始爱心点、边缘扩散点和中心扩散点calc：计算每帧中所有点的位置，实现动态效果render：在画布上绘制指定帧的所有点
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绘制循环（draw 函数） 这是一个递归函数，通过
after方法实现定时刷新，每 160 毫秒更新一帧，创造出动画效果。
如何运行和修改
- 直接运行程序会打开一个窗口显示动态爱心
- 可以修改
HEART_COLOR变量改变爱心颜色（如"#ff2121"是红色） - 调整
IMAGE_ENLARGE可以改变爱心大小 - 修改
draw函数中的160可以调整动画速度（数值越小速度越快） - 调整
CANVAS_WIDTH和CANVAS_HEIGHT可以改变窗口大小
这个程序结合了数学函数和计算机图形学的基础知识，通过简单的几何变换和随机算法创造出了生动的视觉效果。
代码示例：
python
import random
from math import sin, cos, pi, log
from tkinter import *
CANVAS_WIDTH = 640
CANVAS_HEIGHT = 480
CANVAS_CENTER_X = CANVAS_WIDTH / 2
CANVAS_CENTER_Y = CANVAS_HEIGHT / 2
IMAGE_ENLARGE = 11
HEART_COLOR = "#FFC0CB" #ff2121
def heart_function(t, shrink_ratio: float = IMAGE_ENLARGE):
x = 16 * (sin(t) ** 3)
y = -(13 * cos(t) - 5 * cos(2 * t) - 2 * cos(3 * t) - cos(4 * t))
x *= shrink_ratio
y *= shrink_ratio
x += CANVAS_CENTER_X
y += CANVAS_CENTER_Y
return int(x), int(y)
def scatter_inside(x, y, beta=0.15):
ratio_x = - beta * log(random.random())
ratio_y = - beta * log(random.random())
dx = ratio_x * (x - CANVAS_CENTER_X)
dy = ratio_y * (y - CANVAS_CENTER_Y)
return x - dx, y - dy
def shrink(x, y, ratio):
force = -1 / (((x - CANVAS_CENTER_X) ** 2 + (y - CANVAS_CENTER_Y) ** 2) ** 0.6) # 这个参数...
dx = ratio * force * (x - CANVAS_CENTER_X)
dy = ratio * force * (y - CANVAS_CENTER_Y)
return x - dx, y - dy
def curve(p):
return 2 * (2 * sin(4 * p)) / (2 * pi)
class Heart:
def __init__(self, generate_frame=20):
self._points = set() # 原始爱心坐标集合
self._edge_diffusion_points = set() # 边缘扩散效果点坐标集合
self._center_diffusion_points = set() # 中心扩散效果点坐标集合
self.all_points = {} # 每帧动态点坐标
self.build(2000)
self.random_halo = 1000
self.generate_frame = generate_frame
for frame in range(generate_frame):
self.calc(frame)
def build(self, number):
for _ in range(number):
t = random.uniform(0, 2 * pi)
x, y = heart_function(t)
self._points.add((x, y))
for _x, _y in list(self._points):
for _ in range(3):
x, y = scatter_inside(_x, _y, 0.05)
self._edge_diffusion_points.add((x, y))
point_list = list(self._points)
for _ in range(4000):
x, y = random.choice(point_list)
x, y = scatter_inside(x, y, 0.17)
self._center_diffusion_points.add((x, y))
@staticmethod
def calc_position(x, y, ratio):
force = 1 / (((x - CANVAS_CENTER_X) ** 2 + (y - CANVAS_CENTER_Y) ** 2) ** 0.520) # 魔法参数
dx = ratio * force * (x - CANVAS_CENTER_X) + random.randint(-1, 1)
dy = ratio * force * (y - CANVAS_CENTER_Y) + random.randint(-1, 1)
return x - dx, y - dy
def calc(self, generate_frame):
ratio = 10 * curve(generate_frame / 10 * pi) # 圆滑的周期的缩放比例
halo_radius = int(4 + 6 * (1 + curve(generate_frame / 10 * pi)))
halo_number = int(3000 + 4000 * abs(curve(generate_frame / 10 * pi) ** 2))
all_points = []
heart_halo_point = set()
for _ in range(halo_number):
t = random.uniform(0, 2 * pi)
x, y = heart_function(t, shrink_ratio=11.6)
x, y = shrink(x, y, halo_radius)
if (x, y) not in heart_halo_point:
heart_halo_point.add((x, y))
x += random.randint(-14, 14)
y += random.randint(-14, 14)
size = random.choice((1, 2, 2))
all_points.append((x, y, size))
for x, y in self._points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 3)
all_points.append((x, y, size))
for x, y in self._edge_diffusion_points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 2)
all_points.append((x, y, size))
for x, y in self._center_diffusion_points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 2)
all_points.append((x, y, size))
self.all_points[generate_frame] = all_points
def render(self, render_canvas, render_frame):
for x, y, size in self.all_points[render_frame % self.generate_frame]:
render_canvas.create_rectangle(x, y, x + size, y + size, width=0, fill=HEART_COLOR)
def draw(main: Tk, render_canvas: Canvas, render_heart: Heart, render_frame=0):
render_canvas.delete('all')
render_heart.render(render_canvas, render_frame)
main.after(160, draw, main, render_canvas, render_heart, render_frame + 1)
if __name__ == '__main__':
root = Tk() # 一个Tk
canvas = Canvas(root, bg='black', height=CANVAS_HEIGHT, width=CANVAS_WIDTH)
canvas.pack()
heart = Heart()
draw(root, canvas, heart)
root.mainloop()效果图：
