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Liquid.py
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Liquid.py
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"""
Liquid.py - Python+Pygame port V1 Robert Rasmay
MIT License ( http://www.opensource.org/licenses/mit-license.php )
/**
* self version:
* Copyright Stephen Sinclair (radarsat1) ( http://www.music.mcgill.ca/~sinclair )
* MIT License ( http://www.opensource.org/licenses/mit-license.php )
* Downloaded from: http://www.music.mcgill.ca/~sinclair/blog
*/
/**
* Flash version:
* Copyright iunpin ( http://wonderfl.net/user/iunpin )
* MIT License ( http://www.opensource.org/licenses/mit-license.php )
* Downloaded from: http://wonderfl.net/c/6eu4
*/
/**
* Original Java version:
* http://grantkot.com/MPM/Liquid.html
*/
"""
import pygame
import math
import random
import cProfile
liquidTest = None
step = 0
canvas = None
running = False
WIDTH = 100
HEIGHT = 50
PARTICLESX = 10
PARTICLESY = 20
class LiquidTest:
def __init__ (self, gsizeX, gsizeY, particlesX, particlesY):
self.gsizeX = gsizeX
self.gsizeY = gsizeY
self.active = [] #Nodes
self.water = Material(1.0, 1.0, 1.0, 1.0, 1.0, 1.0)
self.pressed = False
self.pressedprev = False
self.mx = 0.0
self.my = 0.0
self.mxprev = 0.0
self.myprev = 0.0
self.grid = []
self.grid = [[Node() for i in range(self.gsizeY)]
for i in range(self.gsizeX)]
self.particles = [Particle(self.water, i + 4, j + 4, 0.0, 0.0)
for j in range(particlesY)
for i in range(particlesX)]
def paint(self):
for p in self.particles:
pygame.draw.line(canvas, p.color, (4*p.x, 4*p.y,),
(4*(p.x - p.u), 4.0*(p.y - p.v)))
def _step1(self, particle):
particle.cx = particle.x - 0.5
particle.cy = particle.y - 0.5
x = particle.cx - particle.x
particle.px[0] = (0.5 * x * x + 1.5 * x + 1.125)
particle.gx[0] = (x + 1.5)
x += 1.0
particle.px[1] = (-x * x + 0.75)
particle.gx[1] = (-2.0 * x)
x += 1.0
particle.px[2] = (0.5 * x * x - 1.5 * x + 1.125)
particle.gx[2] = (x - 1.5)
y = p.cy - p.y
particle.py[0] = (0.5 * y * y + 1.5 * y + 1.125)
particle.gy[0] = (y + 1.5)
y += 1.0
particle.py[1] = (-y * y + 0.75)
particle.gy[1] = (-2.0 * y)
y += 1.0
particle.py[2] = (0.5 * y * y - 1.5 * y + 1.125)
particle.gy[2] = (y - 1.5)
for i in range(3):
for j in range(3):
n = self.grid[int(particle.cx + i)][int(particle.cy + j)]
if not n.active:
self.active.append(n)
n.active = True
phi = particle.px[i] * particle.py[j]
n.m += phi * particle.mat.m
n.d += phi
n.gx += particle.gx[i] * particle.py[j]
n.gy += particle.px[i] * particle.gy[j]
def simulate(self):
drag = False
mdx = mdy = 0.0
if (self.pressed and self.pressedprev):
drag = True
mdx = 0.25 * (self.mx - self.mxprev)
mdy = 0.25 * (self.my - self.myprev)
self.pressedprev = self.pressed
self.mxprev = self.mx
self.myprev = self.my
self.active = []
fx = fy = 0.0
for part in self.particles:
self._step1(part)
for p in self.particles:
cx = p.x
cy = p.y
cxi = cx + 1
cyi = cy + 1
n01 = self.grid[int(cx)][int(cy)]
n02 = self.grid[int(cx)][int(cyi)]
n11 = self.grid[int(cxi)][int(cy)]
n12 = self.grid[int(cxi)][int(cyi)]
pdx = n11.d - n01.d
pdy = n02.d - n01.d
C20 = 3.0 * pdx - n11.gx - 2.0 * n01.gx
C02 = 3.0 * pdy - n02.gy - 2.0 * n01.gy
C30 = -2.0 * pdx + n11.gx + n01.gx
C03 = -2.0 * pdy + n02.gy + n01.gy
csum1 = n01.d + n01.gy + C02 + C03
csum2 = n01.d + n01.gx + C20 + C30
C21 = 3.0 * n12.d - 2.0 * n02.gx - n12.gx - 3.0 * csum1 - C20
C31 = -2.0 * n12.d + n02.gx + n12.gx + 2.0 * csum1 - C30
C12 = 3.0 * n12.d - 2.0 * n11.gy - n12.gy - 3.0 * csum2 - C02
C13 = -2.0 * n12.d + n11.gy + n12.gy + 2.0 * csum2 - C03
C11 = n02.gx - C13 - C12 - n01.gx
u = p.x - cx
u2 = u * u
u3 = u * u2
v = p.y - cy
v2 = v * v
v3 = v * v2
density = n01.d + n01.gx * u + n01.gy * v + C20 * u2 + C02 * v2 + C30 * u3 + C03 * v3 + C21 * u2 * v + C31 * u3 * v + C12 * u * v2 + C13 * u * v3 + C11 * u * v
pressure = density - 1.0
if pressure > 2.0:
pressure = 2.0
fx = 0.0
fy = 0.0
if (p.x < 4.0):
fx += p.mat.m * (4.0 - p.x)
elif (p.x > self.gsizeX - 5):
fx += p.mat.m * (self.gsizeX - 5 - p.x)
if (p.y < 4.0):
fy += p.mat.m * (4.0 - p.y)
elif (p.y > self.gsizeY - 5):
fy += p.mat.m * (self.gsizeY - 5 - p.y)
if drag:
vx = math.fabs(p.x - 0.25 * self.mx)
vy = math.fabs(p.y - 0.25 * self.my)
if ((vx < 10.0) and (vy < 10.0)):
weight = p.mat.m * (1.0 - vx * 0.10) * (1.0 - vy * 0.10)
fx += weight * (mdx - p.u)
fy += weight * (mdy - p.v)
for i in range(3):
for j in range(3):
n = self.grid[int(p.cx + i)][int(p.cy + j)]
phi = p.px[i] * p.py[j]
n.ax += -((p.gx[i] * p.py[j]) * pressure) + fx * phi
n.ay += -((p.px[i] * p.gy[j]) * pressure) + fy * phi
for n in self.active:
if n.m > 0.0:
n.ax /= n.m
n.ay /= n.m
n.ay += 0.03
for p in self.particles:
for i in range(3):
for j in range(3):
n = self.grid[int(p.cx + i)][int(p.cy + j)]
phi = p.px[i] * p.py[j]
p.u += phi * n.ax
p.v += phi * n.ay
mu = p.mat.m * p.u
mv = p.mat.m * p.v
for i in range(3):
for j in range(3):
n = self.grid[int(p.cx + i)][int(p.cy + j)]
phi = p.px[i] * p.py[j]
n.u += phi * mu
n.v += phi * mv
for n in self.active:
if n.m > 0.0:
n.u /= n.m
n.v /= n.m
for p in self.particles:
gu = 0.0
gv = 0.0
for i in range(3):
for j in range(3):
n = self.grid[int(p.cx + i)][int(p.cy + j)]
phi = p.px[i] * p.py[j]
gu += phi * n.u
gv += phi * n.v
p.x += gu
p.y += gv
p.u += 1.0 * (gu - p.u)
p.v += 1.0 * (gv - p.v)
if (p.x < 1.0):
p.x = (1.0 + random.random() * 0.01)
p.u = 0.0
elif (p.x > self.gsizeX - 2):
p.x = (self.gsizeX - 2 - random.random() * 0.01)
p.u = 0.0
if (p.y < 1.0):
p.y = (1.0 + random.random() * 0.01)
p.v = 0.0
elif (p.y > self.gsizeY - 2):
p.y = (self.gsizeY - 2 - random.random() * 0.01)
p.v = 0.0
class Node:
def __init__(self):
self.m = 0
self.d = 0
self.gx = 0
self.gy = 0
self.u = 0
self.v = 0
self.ax = 0
self.ay = 0
self.active = False
def clear(self):
self.m = self.d = self.gx = self.gy = self.u = self.v = self.ax = self.ay = 0.0
self.active = False
class Particle:
def __init__(self, mat, x, y, u, v):
self.dudx = 0
self.dudy = 0
self.dvdx = 0
self.dvdy = 0
self.cx = 0
self.cy = 0
self.px = [0,0,0]
self.py = [0,0,0]
self.gx = [0,0,0]
self.gy = [0,0,0]
self.mat = mat
self.x = x
self.y = y
self.u = u
self.v = v
self.color = pygame.Color(0,0,255,255)
class Material:
def __init__(self, m, rd, k, v, d, g):
self.m = m
self.rd = rd
self.k = k
self.v = v
self.d = d
self.g = g
def mouseMoved(event):
liquidTest.mx = event.pos[0]
liquidTest.my = event.pos[1]
def mousePressed(event):
liquidTest.pressed = True
def mouseReleased(event):
liquidTest.pressed = False
def stop():
running = False
def start():
running = True
draw_loop()
def restart(gsizeX, gsizeY, particlesX, particlesY):
liquidTest = LiquidTest(gsizeX, gsizeY, particlesX, particlesY)
running = True
draw_loop()
def draw_loop():
running = True
step = 0
sum1 = sum2 = sum3 = 0
while running:
# clear
canvas.fill(0, (3, 3, width-4, height-4))
# draw simulation state
liquidTest.paint()
pygame.display.flip()
#get events
for e in pygame.event.get():
if e.type == QUIT:
return sum1,sum2,sum3
elif e.type == MOUSEBUTTONDOWN:
mousePressed(e)
elif e.type == MOUSEBUTTONUP:
mouseReleased(e)
elif e.type == MOUSEMOTION:
mouseMoved(e)
# advance simulation
liquidTest.simulate()
step += 1
if __name__ == "__main__":
pygame.init()
canvas = pygame.display.set_mode((WIDTH*4,HEIGHT*4),pygame.DOUBLEBUF)
width = canvas.get_width()
height = canvas.get_height()
liquidTest = LiquidTest(WIDTH, HEIGHT, PARTICLESX, PARTICLESY)
cProfile.runctx("start()", globals(), locals(), filename="Liquid.profile")