def wavy_path(width, height, y_origin):
half_height = height / 2
path = QPainterPath()
pi2 = math.pi * 2
num = 100
num_waves = 4
wav_limit = num // num_waves
sin = math.sin
path.reserve(num)
for i in range(num):
x = width * i / num
rads = pi2 * (i % wav_limit) / wav_limit
factor = sin(rads)
y = y_origin + factor * half_height
path.lineTo(x, y) if i else path.moveTo(x, y)
return path
