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|
#
# Code under the MIT license by Alexander Pruss
#
#
# mandelbulb.py [size [power [half]]]
#
# Options for half: south, north, east, west, up, down
from mc import *
import mcpi.settings as settings
import cmath
import time
import sys
from random import uniform
# setting this to 0 makes for more isolated blocks because the connecting filigree was
# missed; increasing slows down rendering
AVOID_ISOLATES = 12 if not settings.isPE else 0
ESCAPE = 250
if len(sys.argv) < 2:
size = 100
else:
size = int(sys.argv[1])
if len(sys.argv) < 3:
power = 8
else:
power = int(sys.argv[2])
if power == 8:
fractalSize = 2.16
else:
fractalSize = 4.
if len(sys.argv) < 4:
half = None
else:
half = sys.argv[3].lower()[0]
palette = list(reversed([WOOL_WHITE,HARDENED_CLAY_STAINED_WHITE,WOOL_PINK,WOOL_LIGHT_GRAY,WOOL_LIGHT_BLUE,WOOL_MAGENTA,WOOL_PURPLE,HARDENED_CLAY_STAINED_LIGHT_BLUE,HARDENED_CLAY_STAINED_LIGHT_GRAY,HARDENED_CLAY_STAINED_MAGENTA,HARDENED_CLAY_STAINED_PINK,HARDENED_CLAY_STAINED_RED,WOOL_RED,REDSTONE_BLOCK,HARDENED_CLAY_STAINED_ORANGE,WOOL_ORANGE,HARDENED_CLAY_STAINED_YELLOW,WOOL_YELLOW,WOOL_LIME,HARDENED_CLAY_STAINED_LIME,HARDENED_CLAY_STAINED_PURPLE,HARDENED_CLAY_STAINED_CYAN,WOOL_CYAN,WOOL_BLUE,HARDENED_CLAY_STAINED_BLUE,WOOL_GRAY,HARDENED_CLAY_STAINED_GREEN,WOOL_GREEN,HARDENED_CLAY_STAINED_BROWN,WOOL_BROWN,HARDENED_CLAY_STAINED_GRAY,WOOL_BLACK]));
def positions(pos,scale):
yield pos
for i in range(AVOID_ISOLATES):
yield (uniform(pos[0]-0.5*scale,pos[0]+0.5*scale),
uniform(pos[1]-0.5*scale,pos[1]+0.5*scale),
uniform(pos[2]-0.5*scale,pos[2]+0.5*scale))
def calculate0(pos):
x,z,y = pos[0],pos[1],pos[2]
cx,cy,cz = x,y,z
i = 0
try:
wentOut = 0
while i<ESCAPE:
r = sqrt(x*x+y*y+z*z)
if r > 2:
return -1
if r > wentOut:
wentOut = r
theta = acos(z/r)
phi = atan2(y,x)
zr = r**power
theta *= power
phi *= power
x = cx+zr*sin(theta)*cos(phi)
y = cy+zr*sin(phi)*sin(theta)
z = cz+zr*cos(theta)
i = i + 1
return wentOut
except:
return 0
def calculate(pos0,scale):
for pos in positions(pos0,scale):
r = calculate0(pos)
if r >= 0:
return r
return r
#
# we could of course just do for x in range(0,size): for y in range(0,size): yield(x,y)
# but it will make users happier if we start at the player
#
def pollZoom():
global lastHitEvent,lastHitPos
events = mc.events.pollBlockHits()
if len(events) == 0:
return lastHitEvent != None
lastHitEvent = events[-1]
lastHitPos = mc.player.getPos()
return True
def toBulb(centerMC,centerBulb,scale,x,y,z):
return ((x - centerMC.x) * scale + centerBulb[0],
(y - centerMC.y) * scale + centerBulb[1],
(z - centerMC.z) * scale + centerBulb[2])
def draw():
count = 0
rangeX = range(cornerMC.x, cornerMC.x+size)
rangeY = range(cornerMC.y, cornerMC.y+size)
rangeZ = range(cornerMC.z, cornerMC.z+size)
if not half is None:
if half == 'w':
rangeX = range(cornerMC.x, cornerMC.x+size/2)
elif half == 'e':
rangeX = range(cornerMC.x+size/2, cornerMC.x+size)
elif half == 'n':
rangeZ = range(cornerMC.z, cornerMC.z+size/2)
elif half == 's':
rangeZ = range(cornerMC.z+size/2, cornerMC.z+size)
elif half == 'u':
rangeY = range(cornerMC.y+size/2, cornerMC.y+size)
elif half == 'd':
rangeY = range(cornerMC.y, cornerMC.y+size/2)
for mcX in rangeX:
for mcY in rangeY:
for mcZ in rangeZ:
radius = calculate(toBulb(centerMC,centerBulb,scale,mcX,mcY,mcZ),scale)
if radius < 0:
mc.setBlock(mcX,mcY,mcZ,AIR)
else:
i = int(len(palette) / (fractalSize/2) * radius)
if i >= len(palette):
i = len(palette) - 1
mc.setBlock(mcX,mcY,mcZ,palette[i])
if pollZoom():
return
mc.postToChat("Rendered")
if __name__=='__main__':
mc = Minecraft()
startPos = mc.player.getTilePos()
cornerMC = startPos + Vec3(1,0,1)
centerMC = cornerMC + Vec3(size/2,size/2,size/2)
centerBulb = (0,0,0)
initial = True
scale = fractalSize / size
lastHitEvent = None
while True:
mc.player.setPos(startPos)
mc.postToChat("Scale: "+str(fractalSize/size/scale))
draw()
if not initial:
mc.player.setPos(centerMC)
while not pollZoom():
time.sleep(0.25)
if ( lastHitEvent.pos.x < cornerMC.x or
lastHitEvent.pos.x >= cornerMC.x + size or
lastHitEvent.pos.y < cornerMC.y or
lastHitEvent.pos.y >= cornerMC.y + size or
lastHitEvent.pos.z < cornerMC.z or
lastHitEvent.pos.z >= cornerMC.z + size ):
mc.postToChat("resetting")
centerBulb = (0,0,0)
scale = fractalSize / size
initial = True
else:
mc.postToChat("zooming")
centerBulb = toBulb(centerMC,centerBulb,scale,lastHitPos.x,lastHitPos.y,lastHitPos.z)
scale /= 8
initial = False
lastHitEvent = None
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