def line(pos=(0,0), np=2, rotate=0.0, scale=1.0, xscale=1.0, yscale=1.0,
thickness=None, start=(0,0), end=(0,1), path=False):
v = vis.vector((end[0]-start[0]), (end[1]-start[1]))
if thickness is None:
thickness = 0.01*vis.mag(v)
dv = thickness*vis.norm(vis.vector(0,0,1).cross(v))
dx = dv.x
dy = dv.y
cp = [] # outer line
cpi = [] # inner line
vline = (vis.vector(end)-vis.vector(start)).norm()
mline = vis.mag(vis.vector(end)-vis.vector(start))
for i in range(np):
x = start[0] + (vline*i)[0]/float(np-1)*mline
y = start[1] + (vline*i)[1]/float(np-1)*mline
cp.append( (x+pos[0],y+pos[1]) )
cpi.append( (x+pos[0]+dx,y+pos[1]+dy) )
if not path:
cpi.reverse()
for p in cpi:
cp.append(p)
cp.append(cp[0])
if rotate != 0.0: cp = rotatecp(cp, pos, rotate)
if scale != 1.0: xscale = yscale = scale
pp = Polygon(cp)
if xscale != 1.0 or yscale != 1.0: pp.scale(xscale,yscale)
if not path:
return pp
else:
return [cp]
def __init__(self, start=(0,0,0), end=(0,0,-1), np=2):
if np < 2:
raise AttributeError("The minimum value of np is 2 (one segment)")
start = vector(start)
end = vector(end)
vline = (end-start)/(np-1)
self.pos = []
for i in range(np):
self.pos.append(start + i*vline)
self.up = (0,1,0)
def __init__(self, start=(0, 0, 0), end=(0, 0, -1), np=2):
if np < 2:
raise AttributeError("The minimum value of np is 2 (one segment)")
start = vector(start)
end = vector(end)
vline = (end - start) / (np - 1)
self.pos = []
for i in range(np):
self.pos.append(start + i * vline)
self.up = (0, 1, 0)
def convert(pos=(0,0,0), up=(0,1,0), points=None, closed=True):
pos = vector(pos)
up = norm(vector(up))
up0 = vector(0,1,0)
angle = acos(up.dot(up0))
reorient = (angle > 0.0)
axis = up0.cross(up)
pts = []
for pt in points:
newpt = vector(pt[0],0,-pt[1])
if reorient: newpt = newpt.rotate(angle=angle, axis=axis)
pts.append(pos+newpt)
if closed and (pts[-1] != pts[0]): pts.append(pts[0])
return pts
def convert(pos=(0, 0, 0), up=(0, 1, 0), points=None, closed=True):
pos = vector(pos)
up = norm(vector(up))
up0 = vector(0, 1, 0)
angle = acos(up.dot(up0))
reorient = (angle > 0.0)
axis = up0.cross(up)
pts = []
for pt in points:
newpt = vector(pt[0], 0, -pt[1])
if reorient: newpt = newpt.rotate(angle=angle, axis=axis)
pts.append(pos + newpt)
if closed and (pts[-1] != pts[0]): pts.append(pts[0])
return pts
def ship(s, v, a, dt, spaceship, predraw):
dst = vector(0, 0, 0) - s # computing spaceship - Sun distance vector
gravity_acc = (u / (mag2(dst))) * norm(dst) # computing gravity force
v += (gravity_acc + a) * dt # numerical integration of velocity
s += v * dt # numerical integration of position
spaceship.pos = s # assigning new position to the spaceship
spaceship.trail.append(pos=s, retain=2000) # appending spaceship trail with new position
# recovers the spaceship to the initial position in case of crashing into the Sun or going out of range:
if star_radius <= mag(s) or mag(s) <= sun_radius:
spaceship.pos = s0
spaceship.trail.pos = [] # clear the trail
s, v, a = vector(s0.astuple()), vector(v0.astuple()), vector(a0.astuple()) # assign initial values
predraw = False # redraw the orbital prediction
return s, v, a, predraw
def camera(): # initial camera movement
global scene_old
if scene_old==scene.forward: # stop when user rotates -> scene.forward changes
scene.forward = (scene.forward[0] + 6 / 3000., scene.forward[1] - 4 / 5000., scene.forward[2])
scene_old=vector(scene.forward.astuple())
# scene.scale = (scene.scale[0] + 6 * 2e-13, scene.scale[1] + 6 * 2e-13, scene.scale[2] + 6 * 2e-13)
return 0
def camera(): # initial camera movement
global scene_old
if scene_old == scene.forward: # stop when user rotates -> scene.forward changes
scene.forward = (scene.forward[0] + 6 / 3000.,
scene.forward[1] - 4 / 5000., scene.forward[2])
scene_old = vector(scene.forward.astuple())
# scene.scale = (scene.scale[0] + 6 * 2e-13, scene.scale[1] + 6 * 2e-13, scene.scale[2] + 6 * 2e-13)
return 0
def ship(s, v, a, dt, spaceship, predraw):
dst = vector(0, 0, 0) - s # computing spaceship - Sun distance vector
gravity_acc = (u / (mag2(dst))) * norm(dst) # computing gravity force
v += (gravity_acc + a) * dt # numerical integration of velocity
s += v * dt # numerical integration of position
spaceship.pos = s # assigning new position to the spaceship
spaceship.trail.append(
pos=s, retain=2000) # appending spaceship trail with new position
# recovers the spaceship to the initial position in case of crashing into the Sun or going out of range:
if star_radius <= mag(s) or mag(s) <= sun_radius:
spaceship.pos = s0
spaceship.trail.pos = [] # clear the trail
s, v, a = vector(s0.astuple()), vector(v0.astuple()), vector(
a0.astuple()) # assign initial values
predraw = False # redraw the orbital prediction
return s, v, a, predraw
def neuron3d(neuron_graph, color=vis.color.white):
# vis.scene.stereo = 'redcyan'
vis.scene.center = vis.vector(
(neuron_graph.node[1]['x'], neuron_graph.node[1]['y'],
neuron_graph.node[1]['z']))
vis.scene.width = 1024
vis.scene.height = 768
for n0, n1 in neuron_graph.edges():
pos0 = np.array(
(neuron_graph.node[n0]['x'], neuron_graph.node[n0]['y'],
neuron_graph.node[n0]['z']))
pos1 = np.array(
(neuron_graph.node[n1]['x'], neuron_graph.node[n1]['y'],
neuron_graph.node[n1]['z']))
comp = vis.cylinder(pos=pos0,
axis=pos1 - pos0,
radius=neuron_graph.node[n0]['r'],
color=color,
display=vis.scene)
def key_check(ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, earthpos, t,
ship):
if scene.kb.keys: # check if there are any keys pressed in the queue
key = scene.kb.getkey() # retrieve the pressed key
# change simulation speed: (steps are small on purpose; user has to press and hold for smooth transition)
if key == 'q' and 1 <= dt < 125:
dt += 2
elif key == 'q' and dt <= 0.95:
dt += 0.05
elif key == 'a' and dt > 1:
dt -= 2
elif key == 'a' and 0.2 < dt <= 1:
dt -= 0.05
elif key == 'esc':
Exit() # exit the program
elif key == 'p':
lbl.visible = True # show pause label
lbl.pos = scene.center # center the label on the screen
scene.kb.getkey() # wait for key input
lbl.visible = False # hide pause label
elif key == 'x':
if scene.stereo == 'nostereo':
scene.stereo = 'redcyan' # turn on 3D rendering mode (red-cyan)
elif scene.stereo == 'redcyan':
scene.stereo = 'crosseyed' # turn on 3D rendering mode (cross-eyed)
else:
scene.stereo = 'nostereo' # turn off 3D rendering mode
elif key == 'l':
sw_lbl = not sw_lbl # planet/spaceship label switch
lbl_off = not lbl_off
elif key == 's':
#if ship_mode:
# music.fadeout(2500) # fade out music when quitting spaceship mode
# else:
# music.play(-1) # turn on music when entering spaceship mode
ship_mode = not ship_mode # spaceship mode switch
a = vector(0, 0, 0) # reset acceleration
sw_lbl = True # turn on spaceship label
# spaceship thrusters control:
elif key == 'up':
#a += vector(0, 0, am) # old cartesian steering
a += am * norm(v) # accelerate into the direction of motion
elif key == 'down':
a -= am * norm(v) # accelerate against the direction of motion
elif key == 'left':
a -= am * cross(norm(v), cross(
norm(v), norm(s))) # accelerate to the left of the velocity
elif key == 'right':
a += am * cross(norm(v), cross(
norm(v), norm(s))) # accelerate to the right of the velocity
elif key == 'd':
a += am * cross(norm(v),
norm(s)) # accelerate to the 'top' of the velocity
elif key == 'c':
a -= am * cross(
norm(v), norm(s)) # accelerate to the 'bottom' of the velocity
elif key == '0':
a = vector(0, 0, 0) # reset acceleration
# pre-programmed spaceship positions/scenarios:
elif key == '1': # Earth-Sun Lagrange point 3 (L3 - 'counter-Earth')
s = -earthpos
v0 = (planets[2][1][:, (int(-t + 1)) % n] -
planets[2][1][:, (int(-t)) % n]) / (365.25 * 86400 / n)
v = vector(v0[0], v0[1], v0[2])
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
elif key == '2': # polar orbit around the Sun
s = vector(3e+07, -2e+06, 2e+08)
v = vector(0, 24, 0)
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
elif key == '3': # orbit of the probe Helios 2 (fastest man-made object to date - 0.02% speed of light)
s = vector(43e6, 0, 0) # perihelion
v = vector(0, 0, 70.22)
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
elif key == '4': # Halley's comet (derived using specific orbital energy, 162.3 deg inclination)
s = vector(87813952, 0, 0) # perihelion
v = vector(0, 16.7, 52)
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
return ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, ship
def text(pos=(0,0), text="", font=None, height=1.0, align='left', spacing=0.03, rotate=0.0,
scale=1.0, xscale=1.0, yscale=1.0, thickness=None, vertical_spacing=None,
info=False):
# If info == True, the caller wants the additional info such as upper-left, etc.
# In this case we return an instance of the class text_info, with the Polygon as
# an attribute, text_info.Polygon. The main client of this extra info is the text object.
if thickness is not None:
raise AttributeError("Thickness is not allowed in a text shape.")
if scale != 1.0: xscale = yscale = scale
lines = text.split('\n')
while lines[-1] == '\n': # strip off trailing newlines
lines = lines[:-1]
if font is None:
font = "serif"
font = describe.openFont(findFont(font))
try:
fonth = glyphquery.charHeight(font)
except:
fonth = 1000
if fonth == 0: fonth = 1000
try:
desc = glyphquery.charDescent(font) # charDescent may not be present
fontheight = fonth+desc
fontscale = 1./fontheight
descent = fontscale*desc
except:
descent = -0.3*height # approximate value
fontheight = 0.7*fonth
fontscale = 1.3/fontheight
if vertical_spacing is None:
vertical_spacing = height*fontscale*glyphquery.lineHeight(font)
excludef_list = [("ITCEdscr")]
excludec_list = [("FRSCRIPT", "A"), ("jokerman", "O"),
("vivaldii", "O"), ("vivaldii", "Q"),
("vivaldii", "R")]
ptext = []
widths = []
width = 0.0
starts = []
start = 0.0
for line in range(len(lines)):
ptext.append(Polygon())
bb = 0
for newchar in lines[line]:
if newchar == " ":
try:
if a:
bx = a.boundingBox()
bba = bx[1]-bx[0]
bba = min(bba, 700)
bb += bba
except:
pass
continue
n = glyphquery.glyphName(font, newchar)
if n == ".notdef":
print("The character '"+newchar+"' is not supported in the font "+font)
continue
g = glyph.Glyph(n)
c = g.calculateContours(font)
contours = []
for contour in c:
contours.append(glyph.decomposeOutline(contour))
if len(contours[-1]) == 0: contours.pop()
for contour in contours:
pp = 0
for i in range(len(contour)-1):
if (contour[i][0] == contour[i+1][0]) and (contour[i][1] == contour[i+1][1]):
contour.pop(i)
pp += 1
if i+pp >= len(contour)-1: break
def lenctr(contour):
totlen = 0
for j in range(len(contour)-1):
totlen += (vis.vector(contour[j])-vis.vector(contour[j+1])).mag
return totlen
lc = len(contours)
if lc >= 4:
mli = 0
maxl = 0
lengths = []
for i in range(len(contours)):
totlen = lenctr(contours[i])
lengths.append((totlen,i))
if totlen > maxl:
mli = i
maxl = totlen
lengths.sort()
lengths.reverse()
ocontours = []
for ll in lengths:
ocontours.append(contours[ll[1]])
contours = ocontours
indxf = -1
indxc = -1
if (mli > 0 and newchar != "%"):
try: indxf = excludef_list.index(self.font)
except: pass
if indxf == -1:
try: indxc = excludec_list.index((self.font, newchar))
except: pass
if (indxf == -1 and indxc == -1):
maxc = contours.pop(mli)
contours.insert(0, maxc)
a = Polygon(contours[0])
for i in range(1,len(contours)):
b = Polygon(contours[i])
if a.covers(b): a = a - b
elif b.covers(a): a = b - a
else: a = a + b
a.shift(bb - a.boundingBox()[0] ,0)
ptext[line] += a
bx = ptext[line].boundingBox()
bb = bx[1] - bx[0] + spacing*fontheight
newwidth = fontscale*height*(ptext[line].boundingBox()[1]-ptext[line].boundingBox()[0])
widths.append(newwidth)
if newwidth > width: width = newwidth
ptext[line].scale(xscale*fontscale*height, yscale*fontscale*height, 0, 0)
for line in range(len(lines)):
if align == 'left':
ptext[line].shift(-width/2,-line*vertical_spacing)
elif align == 'right':
ptext[line].shift(width/2-widths[line],-line*vertical_spacing)
else:
ptext[line].shift(-widths[line]/2,-line*vertical_spacing)
ptext[line].shift(pos[0], pos[1])
if rotate != 0.0: ptext[line].rotate(rotate)
if line == 0:
shape = ptext[0]
upper_left = vis.vector(ptext[line].boundingBox()[0],ptext[line].boundingBox()[3],0)
upper_right = vis.vector(ptext[line].boundingBox()[1],ptext[line].boundingBox()[3],0)
lower_left = vis.vector(ptext[line].boundingBox()[0],ptext[line].boundingBox()[2],0)
lower_right = vis.vector(ptext[line].boundingBox()[1],ptext[line].boundingBox()[2],0)
else:
shape += ptext[line]
xleft = ptext[line].boundingBox()[0]
xright = ptext[line].boundingBox()[1]
y = ptext[line].boundingBox()[2]
if xleft < upper_left.x:
upper_left.x = xleft
if xright > upper_right.x:
upper_right.x = xright
lower_left = vis.vector(upper_left.x,ptext[line].boundingBox()[2],0)
lower_right = vis.vector(upper_right.x,ptext[line].boundingBox()[2],0)
dy = vis.vector(0,(upper_left.y-lower_left.y)/2-height,0)
shape.shift(0,dy.y)
if not info: return shape
info = text_info()
info.Polygon = shape
info.upper_left = upper_left+dy
info.upper_right = upper_right+dy
info.lower_left = lower_left+dy
info.lower_right = lower_right+dy
if align == 'left':
x = 0
elif align == 'right':
x = -width
elif align == 'center':
x = -0.5*width
info.start = vis.vector(x,0,0)+dy
info.starts = []
for line in range(len(lines)):
if align == 'left':
x = 0
elif align == 'right':
x = -widths[line]
elif align == 'center':
x = -0.5*widths[line]
info.starts.append(vis.vector(x,line*vertical_spacing,0)+dy)
info.width = width
info.widths = widths
info.descent = descent
info.vertical_spacing = vertical_spacing
info.align = align
info.height = height
return info
from vis import rate, vector # importing vPython module
# from pygame.mixer import music, init # importing PyGame music module
from graphics import camera # importing vPython with predefined settings
from key_control import key_check, mouse_check # importing keyboard and mouse control module
from spaceship import ship # importing variable orbit simulator
from uvf import position # importing orbit predictor from variable orbit simulator
from info import lbl, lbl_ship, popup # importing planet label generator
from update import planet_update, moon_update # importing position-updating functions
from parameters import running, f, spaceship, times, sun, saturn_ring, uranus_ring, dt, planets, moons, n, \
ship_mode, sw_lbl, lbl_off, s0, v0, a0, predraw, trailer, obj, t
# importing variables, lists, planets and moons
# init() # initializing PyGame music mixer module
# music.load("danube.mp3") # loading The Blue Danube Waltz by Johann Strauss
s, v, a = vector(s0.astuple()), vector(v0.astuple()), vector(a0.astuple())
while running:
rate(f) # ensures a steady rate of simulation on all computers
# checking keyboard input:
ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, spaceship = key_check(
ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, planets[2][0].pos, t,
spaceship)
# spaceship coordinates update:
s, v, a, predraw = ship(s, v, a, dt * 365.25 * 86400 / n, spaceship,
predraw)
if ship_mode:
def key_check(ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, earthpos, t, ship):
if scene.kb.keys: # check if there are any keys pressed in the queue
key = scene.kb.getkey() # retrieve the pressed key
# change simulation speed: (steps are small on purpose; user has to press and hold for smooth transition)
if key == 'q' and 1 <= dt < 125:
dt += 2
elif key == 'q' and dt <= 0.95:
dt += 0.05
elif key == 'a' and dt > 1:
dt -= 2
elif key == 'a' and 0.2 < dt <= 1:
dt -= 0.05
elif key == 'esc':
Exit() # exit the program
elif key == 'p':
lbl.visible = True # show pause label
lbl.pos = scene.center # center the label on the screen
scene.kb.getkey() # wait for key input
lbl.visible = False # hide pause label
elif key == 'x':
if scene.stereo == 'nostereo':
scene.stereo = 'redcyan' # turn on 3D rendering mode (red-cyan)
elif scene.stereo == 'redcyan':
scene.stereo = 'crosseyed' # turn on 3D rendering mode (cross-eyed)
else:
scene.stereo = 'nostereo' # turn off 3D rendering mode
elif key == 'l':
sw_lbl = not sw_lbl # planet/spaceship label switch
lbl_off = not lbl_off
elif key == 's':
#if ship_mode:
# music.fadeout(2500) # fade out music when quitting spaceship mode
# else:
# music.play(-1) # turn on music when entering spaceship mode
ship_mode = not ship_mode # spaceship mode switch
a = vector(0, 0, 0) # reset acceleration
sw_lbl = True # turn on spaceship label
# spaceship thrusters control:
elif key == 'up':
#a += vector(0, 0, am) # old cartesian steering
a += am*norm(v) # accelerate into the direction of motion
elif key == 'down':
a -= am*norm(v) # accelerate against the direction of motion
elif key == 'left':
a -= am*cross(norm(v),cross(norm(v),norm(s))) # accelerate to the left of the velocity
elif key == 'right':
a += am*cross(norm(v),cross(norm(v),norm(s))) # accelerate to the right of the velocity
elif key == 'd':
a += am*cross(norm(v),norm(s)) # accelerate to the 'top' of the velocity
elif key == 'c':
a -= am*cross(norm(v),norm(s)) # accelerate to the 'bottom' of the velocity
elif key == '0':
a = vector(0, 0, 0) # reset acceleration
# pre-programmed spaceship positions/scenarios:
elif key == '1': # Earth-Sun Lagrange point 3 (L3 - 'counter-Earth')
s = -earthpos
v0 = (planets[2][1][:, (int(-t + 1)) % n] - planets[2][1][:, (int(-t)) % n]) / (365.25 * 86400 / n)
v = vector(v0[0], v0[1], v0[2])
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
elif key == '2': # polar orbit around the Sun
s = vector(3e+07, -2e+06, 2e+08)
v = vector(0, 24, 0)
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
elif key == '3': # orbit of the probe Helios 2 (fastest man-made object to date - 0.02% speed of light)
s = vector(43e6, 0, 0) # perihelion
v = vector(0, 0, 70.22)
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
elif key == '4': # Halley's comet (derived using specific orbital energy, 162.3 deg inclination)
s = vector(87813952, 0, 0) # perihelion
v = vector(0, 16.7, 52)
a = vector(0, 0, 0)
predraw = False
ship.trail.append(pos=s, retain=1)
return ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, ship
from vis import rate, vector # importing vPython module
# from pygame.mixer import music, init # importing PyGame music module
from graphics import camera # importing vPython with predefined settings
from key_control import key_check, mouse_check # importing keyboard and mouse control module
from spaceship import ship # importing variable orbit simulator
from uvf import position # importing orbit predictor from variable orbit simulator
from info import lbl, lbl_ship, popup # importing planet label generator
from update import planet_update, moon_update # importing position-updating functions
from parameters import running, f, spaceship, times, sun, saturn_ring, uranus_ring, dt, planets, moons, n, \
ship_mode, sw_lbl, lbl_off, s0, v0, a0, predraw, trailer, obj, t
# importing variables, lists, planets and moons
# init() # initializing PyGame music mixer module
# music.load("danube.mp3") # loading The Blue Danube Waltz by Johann Strauss
s, v, a = vector(s0.astuple()), vector(v0.astuple()), vector(a0.astuple())
while running:
rate(f) # ensures a steady rate of simulation on all computers
# checking keyboard input:
ship_mode, s, v, a, dt, sw_lbl, lbl_off, predraw, spaceship = key_check(ship_mode, s, v, a, dt, sw_lbl, lbl_off,
predraw, planets[2][0].pos, t, spaceship)
# spaceship coordinates update:
s, v, a, predraw = ship(s, v, a, dt * 365.25 * 86400 / n, spaceship, predraw)
if ship_mode:
obj = spaceship # set spaceship as the main object
# spaceship simulation parameters:
ship_mode = False # switch for turning on spaceship control
predraw = False # switch that ensures that the spaceship path will be drawn when it is activated
u = 132712440018.1 # Sun gravitational parameter
am = 1.5e-6 # acceleration increment in km/s^2
n_pred = 800 + 1 # number of data points in the orbit prediction (affects speed of the simulation)
t_pred = 200000 # temporal shift of data points in the orbit prediction (in seconds)
times = arange(1, n_pred) * t_pred # array with input for orbit predictor
# constructing spaceship and orbit predictor:
spaceship = sphere(radius=1000000, trail=curve(color=color.white), material=death_star, color=(0.5, 0.5, 0.5))
trailer = box(length=1, height=1, width=1, trail=curve())
# initial attitude of the spaceship (in km):
s0 = vector(3e+07, -2e+06, 2e+08)
v0 = vector(-17, 0, 14)
a0 = vector(0, 0, 0)
# initializing unique (one-off) bodies:
sun = sphere(radius=695500 * 40, color=color.yellow, material=materials.emissive) # radius in km
sun2 = sphere(radius=695500 * 40, material=sun_mat, opacity=0.7) # applying Sun spots
stars = sphere(radius=30066790000, material=stars_mat) # constructing a stellar sphere
obj = sun # declaring Sun as the object in the center of the scene
sun_radius = sun.radius # constant required by external modules
for planet in planet_list: # constructing planets list
planets.append(planet_ini(planet, n, ScaleUp))
for moon in moon_list: # constructing moons list (has to be initialized after the planets)
def lenctr(contour):
totlen = 0
for j in range(len(contour)-1):
totlen += (vis.vector(contour[j])-vis.vector(contour[j+1])).mag
return totlen
from vis import scene, local_light, color, vector
# scene parameters and settings:
scene.x, scene.y = 250, 80 # centering the window (optimized for SXGA displays)
scene.width, scene.height = 800, 600
scene.title = "Solar System"
scene.lights = []
scene.ambient = 0.4 # turning off default lights and turning on some ambient light and the Sun
scene.forward = (2, -1, -2)
lamp = local_light(pos=(0, 0, 0), color=color.white) # setting the scene
scene.autoscale = False
scene.scale = (0.000000001, 0.000000001, 0.000000001)
scene.fov = 0.8 # field of view
scene_old = vector(scene.forward.astuple())
def camera(): # initial camera movement
global scene_old
if scene_old == scene.forward: # stop when user rotates -> scene.forward changes
scene.forward = (scene.forward[0] + 6 / 3000.,
scene.forward[1] - 4 / 5000., scene.forward[2])
scene_old = vector(scene.forward.astuple())
# scene.scale = (scene.scale[0] + 6 * 2e-13, scene.scale[1] + 6 * 2e-13, scene.scale[2] + 6 * 2e-13)
return 0
def roundc(cp, roundness=0.1, nseg=8, invert=False):
vort = 0.0
cp.pop()
for i in range(len(cp)):
i1 = (i+1)%len(cp)
i2 = (i+2)%len(cp)
v1 = vis.vector(cp[i1]) - vis.vector(cp[i])
v2 = vis.vector(cp[(i2)%len(cp)]) - vis.vector(cp[i1])
dv = vis.dot(v1,v2)
vort += dv
if vort > 0: cp.reverse()
l = 999999
for i in range(len(cp)):
p1 = vis.vector(cp[i])
p2 = vis.vector(cp[(i+1)%len(cp)])
lm = vis.mag(p2-p1)
if lm < l: l = lm
r = l*roundness
ncp = []
lcp = len(cp)
for i in range(lcp):
i1 = (i+1)%lcp
i2 = (i+2)%lcp
w0 = vis.vector(cp[i])
w1 = vis.vector(cp[i1])
w2 = vis.vector(cp[i2])
wrt = vis.cross((w1-w0),(w2-w0))
v1 = w1-w0
v2 = w1-w2
rax = vis.norm(((vis.norm(v1)+vis.norm(v2))/2.0))
angle = acos(vis.dot(vis.norm(v2),vis.norm(v1)))
afl = 1.0
if wrt[2] > 0: afl = -1.0
angle2 = angle/2.0
cc = r/sin(angle2)
ccp = vis.vector(cp[i1]) - rax*cc
tt = r/tan(angle2)
t1 = vis.vector(cp[i1]) -vis.norm(v1)*tt
t2 = vis.vector(cp[i1]) -vis.norm(v2)*tt
ncp.append(tuple(t1)[0:2])
nc = []
a = 0
dseg = afl*(pi-angle)/nseg
if not invert:
for i in range(nseg):
nc.append(rotatep(t1, ccp, a))
ncp.append(tuple(nc[-1])[0:2])
a -= dseg
else:
dseg = afl*(angle)/nseg
for i in range(nseg):
nc.append(rotatep(t1, (cp[i1][0],cp[i1][1],0), a))
ncp.append(tuple(nc[-1])[0:2])
a += dseg
ncp.append(tuple(t2)[0:2])
ncp.append(ncp[0])
return ncp
from vis import scene, local_light, color, vector
# scene parameters and settings:
scene.x, scene.y = 250, 80 # centering the window (optimized for SXGA displays)
scene.width, scene.height = 800, 600
scene.title = "Solar System"
scene.lights = []
scene.ambient = 0.4 # turning off default lights and turning on some ambient light and the Sun
scene.forward = (2, -1, -2)
lamp = local_light(pos=(0, 0, 0), color=color.white) # setting the scene
scene.autoscale = False
scene.scale = (0.000000001, 0.000000001, 0.000000001)
scene.fov = 0.8 # field of view
scene_old = vector(scene.forward.astuple())
def camera(): # initial camera movement
global scene_old
if scene_old==scene.forward: # stop when user rotates -> scene.forward changes
scene.forward = (scene.forward[0] + 6 / 3000., scene.forward[1] - 4 / 5000., scene.forward[2])
scene_old=vector(scene.forward.astuple())
# scene.scale = (scene.scale[0] + 6 * 2e-13, scene.scale[1] + 6 * 2e-13, scene.scale[2] + 6 * 2e-13)
return 0