def setNextPositionPerlin(self, *args, **kwargs):
self.updateFunction = self.updatePerlin
if('slow' in args):
self.currentSpeedLimit = StewartPlatform.SERVO_SPEED_LIMIT/2
else:
self.currentSpeedLimit = StewartPlatform.SERVO_SPEED_LIMIT*2
t = (time()-StewartPlatform.INIT_TIME) * StewartPlatform.PERLIN_TIME_SCALE
(x,y,z) = self.currentPosition.getTranslationAsList()
# direction
u = snoise4(x*StewartPlatform.PERLIN_POSITION_SCALE + 1*StewartPlatform.PERLIN_PHASE,
y*StewartPlatform.PERLIN_POSITION_SCALE + 1*StewartPlatform.PERLIN_PHASE,
z*StewartPlatform.PERLIN_POSITION_SCALE + 1*StewartPlatform.PERLIN_PHASE,
t + 1*StewartPlatform.PERLIN_PHASE)
v = snoise4(x*StewartPlatform.PERLIN_POSITION_SCALE + 2*StewartPlatform.PERLIN_PHASE,
y*StewartPlatform.PERLIN_POSITION_SCALE + 2*StewartPlatform.PERLIN_PHASE,
z*StewartPlatform.PERLIN_POSITION_SCALE + 2*StewartPlatform.PERLIN_PHASE,
t + 2*StewartPlatform.PERLIN_PHASE)
w = snoise4(x*StewartPlatform.PERLIN_POSITION_SCALE + 3*StewartPlatform.PERLIN_PHASE,
y*StewartPlatform.PERLIN_POSITION_SCALE + 3*StewartPlatform.PERLIN_PHASE,
z*StewartPlatform.PERLIN_POSITION_SCALE + 3*StewartPlatform.PERLIN_PHASE,
t + 3*StewartPlatform.PERLIN_PHASE)
#magnitude
thisSpeedScale = StewartPlatform.PERLIN_SPEED_SCALE/3 if ('slow' in args) else StewartPlatform.PERLIN_SPEED_SCALE
speed = min(StewartPlatform.PERLIN_MAX_SPEED, max(StewartPlatform.PERLIN_MIN_SPEED, thisSpeedScale*(snoise4(u,v,w,t)*0.5+0.5)))
# result
deltaDistances = (
u*speed,
v*speed,
w*speed)
deltaAngles = (
snoise2(v,t)*StewartPlatform.PERLIN_ANGLE_SCALE,
snoise2(w,t)*StewartPlatform.PERLIN_ANGLE_SCALE,
snoise2(u,t)*StewartPlatform.PERLIN_ANGLE_SCALE)
# pick new valid position
translateArg = kwargs.get('translate', '')
rotateArg = kwargs.get('rotate', '')
done = False
while not done:
translation = Vector3(
deltaDistances[0] if 'x' in translateArg else 0,
deltaDistances[1] if 'y' in translateArg else 0,
deltaDistances[2] if 'z' in translateArg else 0) + self.currentPosition.translation
translation.constrain(-StewartPlatform.PERLIN_DISTANCE_LIMIT, StewartPlatform.PERLIN_DISTANCE_LIMIT)
rotation = Vector3(
deltaAngles[0] if 'x' in rotateArg else 0,
deltaAngles[1] if 'y' in rotateArg else 0,
deltaAngles[2] if 'z' in rotateArg else 0) + self.currentPosition.rotation
rotation.constrain(-StewartPlatform.PERLIN_ANGLE_LIMIT, StewartPlatform.PERLIN_ANGLE_LIMIT)
done = self.setTargetAnglesSuccessfully(translation, rotation)
deltaDistances = map(lambda x:0.9*x, deltaDistances)
deltaAngles = map(lambda x:0.9*x, deltaAngles)
def setNextPositionPerlin(self, *args, **kwargs):
self.updateFunction = self.updatePerlin
if('slow' in args):
self.currentSpeedLimit = StewartPlatform.SERVO_SPEED_LIMIT/2
else:
self.currentSpeedLimit = StewartPlatform.SERVO_SPEED_LIMIT*2
t = (time()-StewartPlatform.INIT_TIME) * StewartPlatform.PERLIN_TIME_SCALE
(x,y,z) = self.currentPosition.getTranslationAsList()
# direction
u = snoise4(x*StewartPlatform.PERLIN_POSITION_SCALE + 1*StewartPlatform.PERLIN_PHASE,
y*StewartPlatform.PERLIN_POSITION_SCALE + 1*StewartPlatform.PERLIN_PHASE,
z*StewartPlatform.PERLIN_POSITION_SCALE + 1*StewartPlatform.PERLIN_PHASE,
t + 1*StewartPlatform.PERLIN_PHASE)
v = snoise4(x*StewartPlatform.PERLIN_POSITION_SCALE + 2*StewartPlatform.PERLIN_PHASE,
y*StewartPlatform.PERLIN_POSITION_SCALE + 2*StewartPlatform.PERLIN_PHASE,
z*StewartPlatform.PERLIN_POSITION_SCALE + 2*StewartPlatform.PERLIN_PHASE,
t + 2*StewartPlatform.PERLIN_PHASE)
w = snoise4(x*StewartPlatform.PERLIN_POSITION_SCALE + 3*StewartPlatform.PERLIN_PHASE,
y*StewartPlatform.PERLIN_POSITION_SCALE + 3*StewartPlatform.PERLIN_PHASE,
z*StewartPlatform.PERLIN_POSITION_SCALE + 3*StewartPlatform.PERLIN_PHASE,
t + 3*StewartPlatform.PERLIN_PHASE)
#magnitude
thisSpeedScale = StewartPlatform.PERLIN_SPEED_SCALE/3 if ('slow' in args) else StewartPlatform.PERLIN_SPEED_SCALE
speed = min(StewartPlatform.PERLIN_MAX_SPEED, max(StewartPlatform.PERLIN_MIN_SPEED, thisSpeedScale*(snoise4(u,v,w,t)*0.5+0.5)))
# result
deltaDistances = (
u*speed,
v*speed,
w*speed)
deltaAngles = (
snoise2(v,t)*StewartPlatform.PERLIN_ANGLE_SCALE,
snoise2(w,t)*StewartPlatform.PERLIN_ANGLE_SCALE,
snoise2(u,t)*StewartPlatform.PERLIN_ANGLE_SCALE)
# pick new valid position
translateArg = kwargs.get('translate', '')
rotateArg = kwargs.get('rotate', '')
done = False
while not done:
translation = Vector3(
deltaDistances[0] if 'x' in translateArg else 0,
deltaDistances[1] if 'y' in translateArg else 0,
deltaDistances[2] if 'z' in translateArg else 0) + self.currentPosition.translation
translation.constrain(-StewartPlatform.PERLIN_DISTANCE_LIMIT, StewartPlatform.PERLIN_DISTANCE_LIMIT)
rotation = Vector3(
deltaAngles[0] if 'x' in rotateArg else 0,
deltaAngles[1] if 'y' in rotateArg else 0,
deltaAngles[2] if 'z' in rotateArg else 0) + self.currentPosition.rotation
rotation.constrain(-StewartPlatform.PERLIN_ANGLE_LIMIT, StewartPlatform.PERLIN_ANGLE_LIMIT)
done = self.setTargetAnglesSuccessfully(translation, rotation)
deltaDistances = map(lambda x:0.9*x, deltaDistances)
deltaAngles = map(lambda x:0.9*x, deltaAngles)
def generateNoise():
logging.info("Recreating texture")
d = np.zeros((textWidth, textHeight, 4), dtype=np.float32)
# How many units?
dx = 20
dy = 20
for i in tqdm.trange(textWidth, leave=False):
for j in range(textHeight):
s = float(i) / textWidth
t = float(j) / textHeight
x1 = 1
y1 = 1
nx = x1+np.cos(s*2*np.pi)*dx / (2*np.pi)
ny = y1+np.cos(t*2*np.pi)*dy / (2*np.pi)
nz = x1+np.sin(s*2*np.pi)*dx / (2*np.pi)
nw = y1+np.sin(t*2*np.pi)*dy / (2*np.pi)
t = noise.snoise4(nx, ny, nz, nw, octaves=10, persistence=0.5)
d[i, j] = t
d -= np.min(d)
d /= np.max(d)-np.min(d)
d *= 2
d -= 1
for i in tqdm.trange(textWidth, leave=False):
for j in range(textHeight):
v1 = np.array([float(i)/textWidth, d[i, j][3], float(j)/textWidth])
v2 = np.array([float(i+1)/textWidth, d[(i+1)%textWidth, j][3], float(j)/textWidth])
v3 = np.array([float(i)/textWidth, d[i, (j+1)%textHeight][3], float(j+1)/textWidth])
d[i, j][:3] = np.cross(v3-v1, v2-v1)
d[i, j][:3] /= np.linalg.norm(d[i, j][:3])
d[i, j][0], d[i, j][2] = d[i, j][2], d[i, j][0]
return d
def _get_force(self, x, y, t, magnitude=1):
cos_value = self.radius * math.cos(2 * math.pi * t)
sin_value = self.radius * math.sin(2 * math.pi * t)
angle = snoise4(x * self.scale[0], y * self.scale[1], cos_value,
sin_value)
return Vec2D(np.cos(angle) * magnitude, np.sin(angle) * magnitude)
def generate_noise(x, y=0, z=None, w=None, scale=1, offset_x=0.0, offset_y=0.0,
octaves=1, persistence=0.5, lacunarity=2.0):
"""Generate simplex noise.
:param x: The x coordinate of the noise value
:param y: The y coordinate of the noise value
:param z: The z coordinate of the noise value
:param w: A fourth dimensional coordinate
:param scale: The scale of the base plane
:param float offset_x: How much to offset `x` by on the base plane
:param float offset_y: How much to offset `y` by on the base plane
:param int octaves: The number of passes to make calculating noise
:param float persistence: The amplitude multiplier per octave
:param float lacunarity: The frequency multiplier per octave
"""
x = (x + offset_x) / scale
y = (y + offset_y) / scale
if z is not None:
z /= scale
if w is not None:
w /= scale
if z is None and w is None:
return noise.snoise2(x, y, octaves=octaves,
lacunarity=lacunarity,
persistence=persistence)
elif w is None:
return noise.snoise3(x, y, z, octaves=octaves,
lacunarity=lacunarity,
persistence=persistence)
else:
return noise.snoise4(x, y, z, w, octaves=octaves,
lacunarity=lacunarity,
persistence=persistence)
def test_simplex_4d_range(self):
from noise import snoise4
for i in range(-10000, 10000):
x = i * 0.88
y = -i * 0.11
z = -i * 0.57
w = i * 0.666
n = snoise4(x, y, z, w)
self.assertTrue(-1.0 <= n <= 1.0, (x, y, z, w, n))
def test_simplex_4d_range(self):
from noise import snoise4
for i in range(-10000, 10000):
x = i * 0.88
y = -i * 0.11
z = -i * 0.57
w = i * 0.666
n = snoise4(x, y, z, w)
self.assertTrue(-1.0 <= n <= 1.0, (x, y, z, w, n))
def test_simplex_4d_octaves_range(self):
from noise import snoise4
for i in range(-1000, 1000):
x = -i * 0.12
y = i * 0.55
z = i * 0.34
w = i * 0.21
for o in range(10):
n = snoise4(x, y, z, w, octaves=o + 1)
self.assertTrue(-1.0 <= n <= 1.0, (x, y, z, w, o + 1, n))
def step(self, amt):
for y in range(self.x):
for x in range(self.y):
for z in range(self.z):
v = int(snoise4(x / self._freq, y / self._freq, z / self._freq,
self._step / self._freq, octaves=self._octaves) * 127.0 + 128.0)
c = self.palette(v)
self.layout.set(x, y, z, c)
self._step += amt
def test_simplex_4d_octaves_range(self):
from noise import snoise4
for i in range(-1000, 1000):
x = -i * 0.12
y = i * 0.55
z = i * 0.34
w = i * 0.21
for o in range(10):
n = snoise4(x, y, z, w, octaves=o + 1)
self.assertTrue(-1.0 <= n <= 1.0, (x, y, z, w, o+1, n))
def snoise4(x,
y=None,
z=None,
w=None,
octaves=1,
gain=0.5,
lacunarity=2,
amp=1,
repeat=1):
if y is not None:
return amp * fit_11_to_01(
noise.snoise4(x * repeat, y * repeat, z * repeat, w * repeat,
octaves, gain, lacunarity))
else:
r = np.empty((len(x), ), dtype=np.float64)
for i, d in enumerate(x):
r[i] = amp * fit_11_to_01(
noise.snoise4(d[0] * repeat, d[1] * repeat, d[2] * repeat,
d[3] * repeat, octaves, gain, lacunarity))
return r
def simplex_noise_3d(x, y, z, seed=0, octaves=1, freq_ratio=16.0) -> float:
"""
Create simplex noise between 0 and 1
:param x: x coord for the nose
:param y: y coord for the noise
:param z: z coord for the noise
:param seed: seed to use
:param octaves: higher number makes the noise smoother
:param freq_ratio: how often to sample as the ratio changes
:return: float between 0 and 1
"""
freq = octaves * freq_ratio
return (noise.snoise4(seed, x / freq, y / freq, z / freq, octaves) + 1) / 2
def update(self, dt):
self.phase += dt * 0.05
for i, (x, y, z) in zip(self.disruptors, self.vertices):
i.update(snoise4(x, y, z, self.phase) * 0.2 + 0.9)
radii = np.array([
i.position() for i in self.disruptors
], dtype=np.float32)
data = np.transpose(np.transpose(self.vertices) * radii)
with self.vertex_bo:
self.vertex_bo.set_array(data)
self.vertex_bo.copy_data()
def step(self, amt):
for y in range(self.x):
for x in range(self.y):
for z in range(self.z):
v = int(
snoise4(x / self._freq,
y / self._freq,
z / self._freq,
self._step / self._freq,
octaves=self._octaves) * 127.0 + 128.0)
c = self.palette(v)
self.layout.set(x, y, z, c)
self._step += amt
def step(self, amt):
for y in range(self.x):
for x in range(self.y):
for z in range(self.z):
v = int(
snoise4(x / self._freq,
y / self._freq,
z / self._freq,
self._step / self._freq,
octaves=self._octaves) * 127.0 + 128.0)
c = colors.hue2rgb(v)
self._led.set(x, y, z, c)
self._step += amt
def flow_field(self):
# generate vector field
flow_field = np.zeros(
(*shape, 2)) # if 256, 256, 30 -> 256, 256, 30, 2
radius = 0.1
scale = (0.1, 0.1)
for i in range(shape[2]):
cos_value = self.radius * math.cos(2 * math.pi * (i / shape[2]))
sin_value = self.radius * math.sin(2 * math.pi * (i / shape[2]))
for x in range(shape[0]):
for y in range(shape[1]):
angle = snoise4(x * self.scale[0], y * self.scale[1],
cos_value, sin_value)
flow_field[x, y, i, 0] = np.cos(angle) * 10
flow_field[x, y, i, 1] = np.sin(angle) * 10
def calculateWorldValues(self): """ Generate and normalize a new random world using snoise4 """ # use snoise4 to generate a random noise field pNoiseSeed = random.random() for x in range(self.worldSize): for y in range(self.worldSize): for z in range(self.worldSize): self.world[x][y][z] = snoise4(x/self.worldSize,y/self.worldSize,z/self.worldSize, pNoiseSeed) # normalize noise worldMax = np.max(self.world) worldMin = np.min(self.world) for x in range(self.worldSize): for y in range(self.worldSize): for z in range(self.worldSize): self.world[x][y][z] = (self.world[x][y][z] - worldMin) / (worldMax-worldMin)
def getWorldValues(self):
"""
Generate random world
"""
pNoiseSeed = random.random()
for x in range(self.worldSize):
for y in range(self.worldSize):
for z in range(self.worldSize):
self.world[x][y][z] = snoise4(x / self.worldSize,
y / self.worldSize,
z / self.worldSize,
pNoiseSeed)
# normalize
worldMax = np.max(self.world)
worldMin = np.min(self.world)
for x in range(self.worldSize):
for y in range(self.worldSize):
for z in range(self.worldSize):
self.world[x][y][z] = (self.world[x][y][z] -
worldMin) / (worldMax - worldMin)
def _simplex_noise4d(shape, scale, octaves, radius, random):
img = np.zeros(shape)
if random:
offset = np.random.rand() * 100
else:
offset = 0
for i in range(shape[2]):
cos_value = radius * math.cos(2 * math.pi * (i / shape[2]))
sin_value = radius * math.sin(2 * math.pi * (i / shape[2]))
for x in range(shape[0]):
for y in range(shape[1]):
img[x, y,
i] = snoise4(x * scale[0] + offset, y * scale[1] + offset,
cos_value, sin_value)
img = ((img - img.min()) * (1 /
(img.max() - img.min()) * 255)).astype('uint8')
return img
