def setQuaternion(self, Quaternion):
"""Set the orientation of the body in world coordinates (the display object is oriented to match)."""
odelib.BaseBody.setQuaternion(self, Quaternion)
# now set the orientation of the display frame
# Rotating a point is q * (0,v) * q-1
# q-1 is w, -x, -y, -z assuming that q is a unit quaternion
w1, x1, y1, z1 = Quaternion
v1 = visual.vector(x1, y1, z1)
w3 = w1
v3 = -v1
# First do the axis vector
w2 = 0.0
v2 = visual.vector((1.0, 0.0, 0.0))
# This code is equivalent to a quaternion multiply: qR = q1 * q2 * q3
w12 = (w1 * w2) - visual.dot(v1, v2)
v12 = (w1 * v2) + (w2 * v1) + visual.cross(v1, v2)
wR = (w12 * w3) - visual.dot(v12, v3)
vR = (w12 * v3) + (w3 * v12) + visual.cross(v12, v3)
self._myFrame.axis = vR
# Do it again for the up vector
w2 = 0.0
v2 = visual.vector((0.0, 1.0, 0.0))
# This code is equivalent to a quaternion multiply: qR = q1 * q2 * q3
w12 = (w1 * w2) - visual.dot(v1, v2)
v12 = (w1 * v2) + (w2 * v1) + visual.cross(v1, v2)
wR = (w12 * w3) - visual.dot(v12, v3)
vR = (w12 * v3) + (w3 * v12) + visual.cross(v12, v3)
self._myFrame.up = vR
def setQuaternion(self, Quaternion):
"""Set the orientation of the body in world coordinates (the display object is oriented to match)."""
odelib.BaseBody.setQuaternion(self, Quaternion)
# now set the orientation of the display frame
# Rotating a point is q * (0,v) * q-1
# q-1 is w, -x, -y, -z assuming that q is a unit quaternion
w1, x1, y1, z1 = Quaternion
v1 = visual.vector(x1, y1, z1)
w3 = w1
v3 = -v1
# First do the axis vector
w2 = 0.0
v2 = visual.vector((1.0, 0.0, 0.0))
# This code is equivalent to a quaternion multiply: qR = q1 * q2 * q3
w12 = (w1 * w2) - visual.dot(v1, v2)
v12 = (w1 * v2) + (w2 * v1) + visual.cross(v1, v2)
wR = (w12 * w3) - visual.dot(v12, v3)
vR = (w12 * v3) + (w3 * v12) + visual.cross(v12, v3)
self._myFrame.axis = vR
# Do it again for the up vector
w2 = 0.0
v2 = visual.vector((0.0, 1.0, 0.0))
# This code is equivalent to a quaternion multiply: qR = q1 * q2 * q3
w12 = (w1 * w2) - visual.dot(v1, v2)
v12 = (w1 * v2) + (w2 * v1) + visual.cross(v1, v2)
wR = (w12 * w3) - visual.dot(v12, v3)
vR = (w12 * v3) + (w3 * v12) + visual.cross(v12, v3)
self._myFrame.up = vR
def drawCameraFrame(): # create frame and draw its contents
global cam_box, cent_plane, cam_lab, cam_tri, range_lab, linelen, fwd_line
global fwd_arrow, mouse_line, mouse_arrow, mouse_lab, fov, range_x, cam_dist, cam_frame
global ray
cam_frame = vs.frame( pos = vs.vector(0,2,2,), axis = (0,0,1))
# NB: contents are rel to this frame. start with camera looking "forward"
# origin is at simulated scene.center
fov = vs.pi/3.0 # 60 deg
range_x = 6 # simulates scene.range.x
cam_dist = range_x / vs.tan(fov/2.0) # distance between camera and center.
ray = vs.vector(-20.0, 2.5, 3.0).norm() # (unit) direction of ray vector (arbitrary)
# REL TO CAMERA FRAME
cam_box = vs.box(frame=cam_frame, length=1.5, height=1, width=1.0, color=clr.blue,
pos=(cam_dist,0,0)) # camera-box
cent_plane = vs.box(frame=cam_frame, length=0.01, height=range_x*1.3, width=range_x*2,
pos=(0,0,0), opacity=0.5 ) # central plane
cam_lab = vs.label(frame=cam_frame, text= 'U', pos= (cam_dist,0,0), height= 9, xoffset= 6)
cam_tri = vs.faces( frame=cam_frame, pos=[(0,0,0), (0,0,-range_x), (cam_dist,0,0)])
cam_tri.make_normals()
cam_tri.make_twosided()
range_lab = vs.label(frame=cam_frame, text= 'R', pos= (0, 0, -range_x), height= 9, xoffset= 6)
linelen = scene_size + vs.mag( cam_frame.axis.norm()*cam_dist + cam_frame.pos)
# len of lines from camera
fwd_line = drawLine( vs.vector(cam_dist,0,0), linelen, vs.vector(-1,0,0))
fwd_arrow = vs.arrow(frame=cam_frame, axis=(-2,0,0), pos=(cam_dist, 0, 0), shaftwidth=0.08,
color=clr.yellow)
vs.label(frame=cam_frame, text='C', pos=(0,0,0), height=9, xoffset=6, color=clr.yellow)
mouse_line = drawLine ( vs.vector(cam_dist,0,0), linelen, ray )
mouse_arrow = vs.arrow(frame=cam_frame, axis=ray*2, pos=(cam_dist,0,0), shaftwidth=0.08,
color=clr.red)
mouse_lab = vs.label(frame=cam_frame, text= 'M', height= 9, xoffset= 10, color=clr.red,
pos= -ray*(cam_dist/vs.dot(ray,(1,0,0))) + (cam_dist,0,0))
def handleCollision(self, other):
difference = other.p - self.p
if mag(difference) < self.radius + other.radius:
vrelative = other.v - self.v
normal = norm(difference)
vrn = dot(vrelative, normal)
if vrn < 0:
#Collision Detected!
difference = norm(difference)
#Compute magnitude of Impulse
Imag = -(1 + restitution) * vrn / (1.0 / self.mass +
1.0 / other.mass)
I = Imag * normal # convert to a vector
#Apply impulse to both affected balls
self.v -= I / self.mass
other.v += I / other.mass
def draw_camera_frame():
"""Create frame and draw its contents."""
global CAM_BOX, CENT_PLANE, CAM_LAB, CAN_TRI, RANGE_LAB, LINELEN, FWD_LINE
global FWR_ARROW, MOUSE_LINE, MOUSE_ARROW, MOUSE_LAB, FOV, RANGE_X, CAM_DIST, CAM_FRAME
global RAY
CAM_FRAME = vs.frame(pos=vs.vector(0, 2, 2, ), axis=(0, 0, 1))
# NB: contents are rel to this frame. start with camera looking "forward"
# origin is at simulated scene.center
FOV = vs.pi/3.0 # 60 deg
RANGE_X = 6 # simulates scene.range.x
CAM_DIST = RANGE_X / vs.tan(FOV/2.0) # distance between camera and center.
RAY = vs.vector(-20.0, 2.5, 3.0).norm() # (unit) direction of ray vector (arbitrary)
# REL TO CAMERA FRAME
CAM_BOX = vs.box(frame=CAM_FRAME, length=1.5, height=1, width=1.0,
color=CLR.blue, pos=(CAM_DIST, 0, 0)) # camera-box
CENT_PLANE = vs.box(frame=CAM_FRAME, length=0.01, height=RANGE_X*1.3,
width=RANGE_X*2, pos=(0, 0, 0), opacity=0.5) # central plane
CAM_LAB = vs.label(frame=CAM_FRAME, text='U', pos=(CAM_DIST, 0, 0),
height=9, xoffset=6)
CAN_TRI = vs.faces(frame=CAM_FRAME, pos=[
(0, 0, 0), (0, 0, -RANGE_X), (CAM_DIST, 0, 0)])
CAN_TRI.make_normals()
CAN_TRI.make_twosided()
RANGE_LAB = vs.label(frame=CAM_FRAME, text='R', pos=(0, 0, -RANGE_X),
height=9, xoffset=6)
LINELEN = SCENE_SIZE + vs.mag(
CAM_FRAME.axis.norm()*CAM_DIST + CAM_FRAME.pos) # len of lines from camera
FWD_LINE = draw_line(vs.vector(CAM_DIST, 0, 0), LINELEN, vs.vector(-1, 0, 0))
FWR_ARROW = vs.arrow(frame=CAM_FRAME, axis=(-2, 0, 0), pos=(CAM_DIST, 0, 0),
shaftwidth=0.08, color=CLR.yellow)
vs.label(frame=CAM_FRAME, text='C', pos=(0, 0, 0), height=9, xoffset=6,
color=CLR.yellow)
MOUSE_LINE = draw_line(vs.vector(CAM_DIST, 0, 0), LINELEN, RAY)
MOUSE_ARROW = vs.arrow(frame=CAM_FRAME, axis=RAY*2, pos=(CAM_DIST, 0, 0),
shaftwidth=0.08, color=CLR.red)
MOUSE_LAB = vs.label(
frame=CAM_FRAME, text='M', height=9, xoffset=10,
color=CLR.red,
pos=-RAY*(CAM_DIST/vs.dot(RAY, (1, 0, 0))) + (CAM_DIST, 0, 0))
elif propulsion['type'] == HORIZONTAL:
ortho_vector = rocket_pos / rocket_pos.mag
direction = vector(ortho_vector.y, -ortho_vector.x)
else:
raise SystemError
force = propulsion['magnitude'] * direction
f_propulsion += force
else:
if not notified and time > propulsion['from']:
print("PRopulsion stopped")
notified = True
# plt.pause(0.02)
try:
theta = acos(
dot(rocket_vel, rocket_pos) / rocket_vel.mag / rocket_pos.mag) / pi
except:
pass
if time > TIME_SKIP:
print(
"t= {0}, v={1:.0f}, h={2:.2f}, theta={3:.2f}, g={4:.2f}, E={5:1.1e}"
.format(time, rocket_vel.mag - 241,
rocket_pos.mag - RADIUS_OF_MARS, theta, f_gravity.mag,
get_total_energy()))
if rocket_pos.mag < RADIUS_OF_MARS:
print("Rocket landed on ground with velocity: {0:.0f}".format(
rocket_vel.mag))
print("Total energy used: {}".format(get_total_energy()))
with open("energy-used.tmp", "a") as f:
if Q_PY:
GEARING = 4
else:
GEARING = 1
CAM_DIST = CAM_DIST + (MOUSE_CHANGE.x + MOUSE_CHANGE.y + MOUSE_CHANGE.z)*GEARING
if CAM_DIST <= 0:
CAM_DIST = 0.001 # allow only positive
LIMIT = SCENE_SIZE*2
if CAM_DIST > LIMIT:
CAM_DIST = LIMIT # limit size
redraw_lines()
CAM_BOX.pos = (CAM_DIST, 0, 0)
CAM_LAB.pos = (CAM_DIST, 0, 0)
FWR_ARROW.pos = (CAM_DIST, 0, 0)
MOUSE_ARROW.pos = (CAM_DIST, 0, 0)
MOUSE_LAB.pos = -RAY*(CAM_DIST/vs.dot(RAY, (1, 0, 0))) + (CAM_DIST, 0, 0)
RANGE_X = CAM_DIST * vs.tan(FOV/2.0)
CENT_PLANE.width = RANGE_X*2
CENT_PLANE.height = RANGE_X*4.0/3
redraw_tri() # redraw the camera triangle
RANGE_LAB.pos = (0, 0, -RANGE_X)
MODE_LAB.SetLabel('scene.range:\n' + format(RANGE_X, "9.3"))
if not Q_PY:
VSS.range = RANGE_X
elif MODE == 'v': # demonstrate altering scene.fov
CAM_DIST = CAM_DIST + (MOUSE_CHANGE.x + MOUSE_CHANGE.y + MOUSE_CHANGE.z)*4
if CAM_DIST <= 0:
CAM_DIST = 0.001 # allow only positive
RAY = (MOUSE_LAB.pos - (CAM_DIST, 0, 0)).norm()
redraw_lines()
def proj(a,b):
'''Projects the vector a along the direction of b.'''
return vector(dot(a, norm(b)) * norm(b))
def dot(self, other):
return dot(self.v, other.v)
mode_lab.SetLabel('scene.forward:\n' + str2( - cam_frame.axis))
if not qPy: vss.forward = - cam_frame.axis
elif mode == 'r': # demonstrate altering scene.range. Alters size of camera triangle.
if qPy: gearing = 4
else: gearing = 1
cam_dist = cam_dist + (mouse_change.x + mouse_change.y + mouse_change.z)*gearing
if cam_dist <= 0: cam_dist = 0.001 # allow only positive
limit = scene_size*2
if cam_dist > limit: cam_dist = limit # limit size
reDrawLines()
cam_box.pos = (cam_dist,0,0)
cam_lab.pos = (cam_dist,0,0)
fwd_arrow.pos = (cam_dist,0,0)
mouse_arrow.pos = (cam_dist,0,0)
mouse_lab.pos = -ray*(cam_dist/vs.dot(ray,(1,0,0))) + (cam_dist,0,0)
range_x = cam_dist * vs.tan(fov/2.0)
cent_plane.width = range_x*2
cent_plane.height = range_x*4.0/3
reDrawTri() # redraw the camera triangle
range_lab.pos= (0,0,-range_x)
mode_lab.SetLabel( 'scene.range:\n' + format( range_x, "9.3"))
if not qPy: vss.range = range_x
elif mode == 'v': # demonstrate altering scene.fov
cam_dist = cam_dist + (mouse_change.x + mouse_change.y + mouse_change.z)*4
if cam_dist <= 0: cam_dist = 0.001 # allow only positive
ray = (mouse_lab.pos - (cam_dist, 0,0)).norm()
reDrawLines()
cam_box.pos = (cam_dist,0,0)
cam_lab.pos = (cam_dist,0,0)
def drawCameraFrame(): # create frame and draw its contents
global cam_box, cent_plane, cam_lab, cam_tri, range_lab, linelen, fwd_line
global fwd_arrow, mouse_line, mouse_arrow, mouse_lab, fov, range_x, cam_dist, cam_frame
global ray
cam_frame = vs.frame(pos=vs.vector(
0,
2,
2,
), axis=(0, 0, 1))
# NB: contents are rel to this frame. start with camera looking "forward"
# origin is at simulated scene.center
fov = vs.pi / 3.0 # 60 deg
range_x = 6 # simulates scene.range.x
cam_dist = range_x / vs.tan(
fov / 2.0) # distance between camera and center.
ray = vs.vector(-20.0, 2.5,
3.0).norm() # (unit) direction of ray vector (arbitrary)
# REL TO CAMERA FRAME
cam_box = vs.box(frame=cam_frame,
length=1.5,
height=1,
width=1.0,
color=clr.blue,
pos=(cam_dist, 0, 0)) # camera-box
cent_plane = vs.box(frame=cam_frame,
length=0.01,
height=range_x * 1.3,
width=range_x * 2,
pos=(0, 0, 0),
opacity=0.5) # central plane
cam_lab = vs.label(frame=cam_frame,
text='U',
pos=(cam_dist, 0, 0),
height=9,
xoffset=6)
cam_tri = vs.faces(frame=cam_frame,
pos=[(0, 0, 0), (0, 0, -range_x), (cam_dist, 0, 0)])
cam_tri.make_normals()
cam_tri.make_twosided()
range_lab = vs.label(frame=cam_frame,
text='R',
pos=(0, 0, -range_x),
height=9,
xoffset=6)
linelen = scene_size + vs.mag(cam_frame.axis.norm() * cam_dist +
cam_frame.pos)
# len of lines from camera
fwd_line = drawLine(vs.vector(cam_dist, 0, 0), linelen,
vs.vector(-1, 0, 0))
fwd_arrow = vs.arrow(frame=cam_frame,
axis=(-2, 0, 0),
pos=(cam_dist, 0, 0),
shaftwidth=0.08,
color=clr.yellow)
vs.label(frame=cam_frame,
text='C',
pos=(0, 0, 0),
height=9,
xoffset=6,
color=clr.yellow)
mouse_line = drawLine(vs.vector(cam_dist, 0, 0), linelen, ray)
mouse_arrow = vs.arrow(frame=cam_frame,
axis=ray * 2,
pos=(cam_dist, 0, 0),
shaftwidth=0.08,
color=clr.red)
mouse_lab = vs.label(frame=cam_frame,
text='M',
height=9,
xoffset=10,
color=clr.red,
pos=-ray * (cam_dist / vs.dot(ray, (1, 0, 0))) +
(cam_dist, 0, 0))
if not qPy: vss.forward = -cam_frame.axis
elif mode == 'r': # demonstrate altering scene.range. Alters size of camera triangle.
if qPy: gearing = 4
else: gearing = 1
cam_dist = cam_dist + (mouse_change.x + mouse_change.y +
mouse_change.z) * gearing
if cam_dist <= 0: cam_dist = 0.001 # allow only positive
limit = scene_size * 2
if cam_dist > limit: cam_dist = limit # limit size
reDrawLines()
cam_box.pos = (cam_dist, 0, 0)
cam_lab.pos = (cam_dist, 0, 0)
fwd_arrow.pos = (cam_dist, 0, 0)
mouse_arrow.pos = (cam_dist, 0, 0)
mouse_lab.pos = -ray * (cam_dist / vs.dot(ray, (1, 0, 0))) + (cam_dist,
0, 0)
range_x = cam_dist * vs.tan(fov / 2.0)
cent_plane.width = range_x * 2
cent_plane.height = range_x * 4.0 / 3
reDrawTri() # redraw the camera triangle
range_lab.pos = (0, 0, -range_x)
mode_lab.SetLabel('scene.range:\n' + format(range_x, "9.3"))
if not qPy: vss.range = range_x
elif mode == 'v': # demonstrate altering scene.fov
cam_dist = cam_dist + (mouse_change.x + mouse_change.y +
mouse_change.z) * 4
if cam_dist <= 0: cam_dist = 0.001 # allow only positive
ray = (mouse_lab.pos - (cam_dist, 0, 0)).norm()
reDrawLines()
# For planet data
ptf=int(raw_input("Which planet are you interested in (Mercury: 0,..., Pluto: 7) ")) # Planet to find (0: Mercury,..., 8 for Pluto)
times=float(raw_input("How many data points do you want for the planet: ")) # Number of times data are taken
timc=0 # Counter
year=[] # List of orbital periods
per=[] # List of perihelion distances
aph=[] # List of aphelion distances
pos0=v.vector(planet[ptf].pos) # Initial position of chosen planet
pe1=v.mag(pos0) # Variable for perihilion distance
ap1=v.mag(pos0) # Variable for aphilion distance
dirc0=v.dot(pos0,pos0) # Dot product (changes sign when angle crosses pi/2: keeping track of revolutions)
t_init=0 # Initial time for starting calculation (when the planet is perpendicular to initial position vector for the first time)
# For moon data
timoon=float(raw_input("How many data points do you want for the moon: ")) # Number of times moon data are taken
#mtf=int(raw_input("Which moon are you interested in (Moon: 0, Deimos: 1) ")) # Moon to find
mtf=9 # Moon to find: only one anyway
timcm=0 # Counter
month=[] # List of lunar orbital periods
posm0=planet[mtf].pos-planet[planet[mtf].mom].pos # Initial position of moon relative to its planet
dircm0=v.dot(posm0,posm0) # Dot product
tm_init=0 # Initial time for taking moon data
peg=[] # List of prigee distances
apg=[] # List of apogee distance
def proj(a, b):
'''Projects the vector a along the direction of b.'''
return vector(dot(a, norm(b)) * norm(b))
def Simulation():
config.Atoms = [] # spheres
p = [] # momentums (vectors)
apos = [] # positions (vectors)
ampl = 0 #амплитуда движения
period = 5
k = 1.4E-23 # Boltzmann constant
R = 8.3
dt = 1E-5
time = 0
def checkCollisions(Natoms, Ratom):
hitlist = []
r2 = 2 * Ratom
for i in range(Natoms):
for j in range(i):
dr = apos[i] - apos[j]
if dr.mag < r2:
hitlist.append([i, j])
return hitlist
def speed(time, piston_mode, period, ampl, temp):
if (piston_mode == 0):
return 0
if (piston_mode == 1):
return ampl / 10 * 3 * sin(time / period * 2 * pi) * sqrt(
3 * config.mass * k * temp) / (5 * config.mass) / period * 100
if (piston_mode == 2):
if (time % period < period // 2):
return 1.5 * ampl / 10 * sqrt(3 * config.mass * k * temp) / (
5 * config.mass) / period * 100
else:
return -1.5 * ampl / 10 * sqrt(3 * config.mass * k * temp) / (
5 * config.mass) / period * 100
if (piston_mode == 3):
if (time % period < period // 5):
return 5 * ampl / 10 * sqrt(3 * config.mass * k * temp) / (
5 * config.mass) / period * 100
else:
return -5 / 4 * ampl / 10 * sqrt(
3 * config.mass * k * temp) / (5 *
config.mass) / period * 100
if (piston_mode == 4):
if (time % period < 4 * period // 5):
return 5 / 4 * ampl / 10 * sqrt(3 * config.mass * k * temp) / (
5 * config.mass) / period * 100
else:
return -5 * ampl / 10 * sqrt(3 * config.mass * k * temp) / (
5 * config.mass) / period * 100
width, height = config.w.win.GetSize()
offset = config.w.dheight
deltav = 100 # histogram bar width
disp = display(
window=config.w,
x=offset,
y=offset,
forward=vector(0, -0.05, -1),
range=1, # userspin = False,
width=width / 3,
height=height)
g1 = gdisplay(window=config.w,
x=width / 3 + 2 * offset,
y=2 * offset,
background=color.white,
xtitle='t',
ytitle='v',
foreground=color.black,
width=width / 3,
height=height / 2 - 2 * offset)
g2 = gdisplay(window=config.w,
x=width / 3 + 2 * offset,
y=height / 2 + offset,
background=color.white,
foreground=color.black,
width=width / 3,
height=height / 2 - 2 * offset)
# adding empty dots to draw axis
graph_average_speed = gcurve(gdisplay=g1, color=color.white)
graph_average_speed.plot(pos=(3000, 1500))
graph_temp = gcurve(gdisplay=g2, color=color.white)
graph_temp.plot(pos=(3000, config.Natoms * deltav / 1000))
speed_text = wx.StaticText(config.w.panel,
pos=(width / 3 + 2 * offset, offset),
label="Средняя скорость")
graph_text = wx.StaticText(config.w.panel,
pos=(width / 3 + 2 * offset, height / 2),
label="")
L = 1 # container is a cube L on a side
d = L / 2 + config.Ratom # half of cylinder's height
topborder = d
gray = color.gray(0.7) # color of edges of container
# cylinder drawing
cylindertop = cylinder(pos=(0, d - 0.001, 0), axis=(0, 0.005, 0), radius=d)
ringtop = ring(pos=(0, d, 0), axis=(0, -d, 0), radius=d, thickness=0.005)
ringbottom = ring(pos=(0, -d, 0),
axis=(0, -d, 0),
radius=d,
thickness=0.005)
body = cylinder(pos=(0, -d, 0), axis=(0, 2 * d, 0), radius=d, opacity=0.2)
# body_tmp = cylinder(pos = (0, d, 0), axis = (0, 2 * d, 0), radius = d + 0.1, color = (0, 0, 0))
# ceil = box(pos = (0, d, 0), length = 5, height = 0.005, width = 5, color = (0, 0, 0))
# floor = box(pos = (0, -d, 0), length = 100, height = 0.005, width = 100, color = (0, 0, 0))
# left = box(pos = (d + 0.005, 0, 0), axis = (0, 1, 0), length = 100, height = 0.005, width = 100, color = (0, 0, 0))
# right = box(pos = (-d - 0.005, 0, 0), axis = (0, 1, 0), length = 100, height = 0.005, width = 100, color = (0, 0, 0))
# uniform particle distribution
for i in range(config.Natoms):
qq = 2 * pi * random.random()
x = sqrt(random.random()) * L * cos(qq) / 2
y = L * random.random() - L / 2
z = sqrt(random.random()) * L * sin(qq) / 2
if i == 0:
# particle with a trace
config.Atoms.append(
sphere(pos=vector(x, y, z),
radius=config.Ratom,
color=color.cyan,
make_trail=False,
retain=100,
trail_radius=0.3 * config.Ratom))
else:
config.Atoms.append(
sphere(pos=vector(x, y, z), radius=config.Ratom, color=gray))
apos.append(vector(x, y, z))
# waiting to start, adjusting everything according to changing variables
"""WAITING TO START"""
last_Natoms = config.Natoms
last_Ratom = config.Ratom
while config.start == 0:
if config.menu_switch == 0:
disp.delete()
g1.display.delete()
g2.display.delete()
graph_text.Destroy()
speed_text.Destroy()
return
if config.Natoms > last_Natoms:
for i in range(config.Natoms - last_Natoms):
qq = 2 * pi * random.random()
x = sqrt(random.random()) * L * cos(qq) / 2
y = L * random.random() - L / 2
z = sqrt(random.random()) * L * sin(qq) / 2
if last_Natoms == 0:
# particle with a trace
config.Atoms.append(
sphere(pos=vector(x, y, z),
radius=config.Ratom,
color=color.cyan,
make_trail=False,
retain=100,
trail_radius=0.3 * config.Ratom))
else:
config.Atoms.append(
sphere(pos=vector(x, y, z),
radius=config.Ratom,
color=gray))
apos.append(vector(x, y, z))
last_Natoms = config.Natoms
elif config.Natoms < last_Natoms:
for i in range(last_Natoms - config.Natoms):
config.Atoms.pop().visible = False
apos.pop()
last_Natoms = config.Natoms
if last_Ratom != config.Ratom:
for i in range(last_Natoms):
config.Atoms[i].radius = config.Ratom
last_Ratom = config.Ratom
if config.model == 0:
if config.piston_mode >= 1:
graph_text.SetLabel("Температура")
else:
graph_text.SetLabel("Распределение скоростей частиц")
sleep(0.1)
# freezed all variables, ready to start
last_T = config.T
last_ampl = config.ampl
last_period = config.period
last_piston_mode = config.piston_mode
last_model = config.model
pavg = sqrt(3 * config.mass * k *
last_T) # average kinetic energy p**2/(2config.mass) = (3/2)kT
for i in range(last_Natoms):
theta = pi * random.random()
phi = 2 * pi * random.random()
px = pavg * sin(theta) * cos(phi)
py = pavg * sin(theta) * sin(phi)
pz = pavg * cos(theta)
p.append(vector(px, py, pz))
if last_model == 1:
disp.delete()
unavail = wx.StaticText(
config.w.panel,
style=wx.ALIGN_CENTRE_HORIZONTAL,
label="Отображение модели недоступно в режиме статистики",
pos=(offset, height / 2 - offset))
unavail.Wrap(width / 3)
last_period = last_period / 10
last_piston_mode += 1
graph_text.SetLabel("Температура")
""" DRAW GRAPHS """
g1.display.delete()
g2.display.delete()
if last_piston_mode == 0:
g1 = gdisplay(window=config.w,
x=width / 3 + 2 * offset,
y=2 * offset,
background=color.white,
xtitle='t',
ytitle='v',
foreground=color.black,
width=width / 3,
height=height / 2 - 2 * offset,
ymin=0.7 * pavg / config.mass,
ymax=1.3 * pavg / config.mass)
g2 = gdisplay(window=config.w,
x=width / 3 + 2 * offset,
y=height / 2 + offset,
background=color.white,
foreground=color.black,
xtitle='v',
ytitle='Frequency',
width=width / 3,
height=height / 2 - 2 * offset,
xmax=3000 / 300 * last_T,
ymax=last_Natoms * deltav / 1000)
else:
g1 = gdisplay(window=config.w,
x=width / 3 + 2 * offset,
y=2 * offset,
background=color.white,
xtitle='t',
ytitle='v',
foreground=color.black,
width=width / 3,
height=height / 2 - 2 * offset)
g2 = gdisplay(window=config.w,
x=width / 3 + 2 * offset,
y=height / 2 + offset,
background=color.white,
xtitle='t',
ytitle='T',
foreground=color.black,
width=width / 3,
height=height / 2 - 2 * offset)
graph_average_speed = gcurve(gdisplay=g1, color=color.black)
if last_piston_mode:
graph_temp = gcurve(gdisplay=g2, color=color.black)
else:
theory_speed = gcurve(gdisplay=g2, color=color.black)
dv = 10
for v in range(0, int(3000 / 300 * last_T), dv):
theory_speed.plot(pos=(v, (deltav / dv) * last_Natoms * 4 * pi *
((config.mass /
(2 * pi * k * last_T))**1.5) *
exp(-0.5 * config.mass * (v**2) /
(k * last_T)) * (v**2) * dv))
hist_speed = ghistogram(gdisplay=g2,
bins=arange(0, int(3000 / 300 * last_T), 100),
color=color.red,
accumulate=True,
average=True)
speed_data = [] # histogram data
for i in range(last_Natoms):
speed_data.append(pavg / config.mass)
# speed_data.append(0)
""" MAIN CYCLE """
while config.start:
while config.pause:
sleep(0.1)
rate(100)
sp = speed(time, last_piston_mode, last_period, last_ampl, 300)
cylindertop.pos.y -= sp * dt
time += 1
for i in range(last_Natoms):
config.Atoms[i].pos = apos[i] = apos[i] + (p[i] / config.mass) * dt
if last_piston_mode == 0:
speed_data[i] = mag(p[i]) / config.mass
total_momentum = 0
v_sum = 0
for i in range(last_Natoms):
total_momentum += mag2(p[i])
v_sum += sqrt(mag2(p[i])) / config.mass
graph_average_speed.plot(pos=(time, v_sum / last_Natoms))
if last_piston_mode:
graph_temp.plot(pos=(time, total_momentum / (3 * k * config.mass) /
last_Natoms))
else:
hist_speed.plot(data=speed_data)
hitlist = checkCollisions(last_Natoms, last_Ratom)
for ij in hitlist:
i = ij[0]
j = ij[1]
ptot = p[i] + p[j]
posi = apos[i]
posj = apos[j]
vi = p[i] / config.mass
vj = p[j] / config.mass
vrel = vj - vi
a = vrel.mag2
if a == 0: # exactly same velocities
continue
rrel = posi - posj
if rrel.mag > config.Ratom: # one atom went all the way through another
continue
# theta is the angle between vrel and rrel:
dx = dot(rrel, norm(vrel)) # rrel.mag*cos(theta)
dy = cross(rrel, norm(vrel)).mag # rrel.mag*sin(theta)
# alpha is the angle of the triangle composed of rrel, path of atom j, and a line
# from the center of atom i to the center of atom j where atome j hits atom i:
alpha = asin(dy / (2 * config.Ratom))
d = (2 * config.Ratom) * cos(
alpha
) - dx # distance traveled into the atom from first contact
deltat = d / vrel.mag # time spent moving from first contact to position inside atom
posi = posi - vi * deltat # back up to contact configuration
posj = posj - vj * deltat
mtot = 2 * config.mass
pcmi = p[
i] - ptot * config.mass / mtot # transform momenta to cm frame
pcmj = p[j] - ptot * config.mass / mtot
rrel = norm(rrel)
pcmi = pcmi - 2 * pcmi.dot(rrel) * rrel # bounce in cm frame
pcmj = pcmj - 2 * pcmj.dot(rrel) * rrel
p[i] = pcmi + ptot * config.mass / mtot # transform momenta back to lab frame
p[j] = pcmj + ptot * config.mass / mtot
apos[i] = posi + (
p[i] / config.mass) * deltat # move forward deltat in time
apos[j] = posj + (p[j] / config.mass) * deltat
# collisions with walls
for i in range(last_Natoms):
# проекция радиус-вектора на плоскость
loc = vector(apos[i])
loc.y = 0
# вылет за боковую стенку (цилиндр радиуса L / 2 + config.Ratom)
if (mag(loc) > L / 2 + 0.01 - last_Ratom +
sqrt(p[i].x**2 + p[i].z**2) / config.mass * dt):
# проекция импульса на плоскость
proj_p = vector(p[i])
proj_p.y = 0
loc = norm(loc)
# скалярное произведение нормированного радиус-вектора на импульс (все в проекции на плоскость)
dotlp = dot(loc, proj_p)
if dotlp > 0:
p[i] -= 2 * dotlp * loc
# dotlp < 0 - атом улетает от стенки
# dotlp = 0 - атом летит вдоль стенки
loc = apos[i]
# вылет за торцы
if loc.y + p[i].y / config.mass * dt < -L / 2 - 0.01 + last_Ratom:
p[i].y = abs(p[i].y)
if loc.y + p[
i].y / config.mass * dt > cylindertop.pos.y - last_Ratom:
v_otn = p[i].y / config.mass + sp
if v_otn > 0:
p[i].y = (-v_otn - sp) * config.mass
# type here
if last_model == 0:
disp.delete()
else:
unavail.Destroy()
g1.display.delete()
g2.display.delete()
graph_text.Destroy()
speed_text.Destroy()
def dot(self, other):
return dot(self.v, other.v)