def sCaidalibre(self):
self.alturaCL=self.alturaCL.get()
self.velocidadX=self.velocidadX.get()
try:
self.alturaCL=float(self.alturaCL)
self.velocidadX=float(self.velocidadX)
except:
self.alerta()
gdpos=vgraph.gdisplay(x=600,y=0,xtitle='Tiempo',ytitle='Posicion(y)')
plotpos=vgraph.gcurve(gdisplay=gdpos,color=vs.color.red)
gdvel=vgraph.gdisplay(x=600,y=600,xtitle='Velocidad',ytitle='Tiempo')
plotvel=vgraph.gcurve(gdisplay=gdvel,color=vs.color.blue)
gdacl=vgraph.gdisplay(x=0,y=900,xtitle='Aceleracion',ytitle='Tiempo')
plotacl=vgraph.gcurve(gdisplay=gdacl,color=vs.color.blue)
suelo=vs.box(pos=(0,-5,0),length=30,height=0.1,width=1,color=vs.color.blue)
esferaC=vs.sphere(pos=(0,self.alturaCL,-2),radius=1,color=vs.color.red)
T=np.sqrt(2*(self.alturaCL+5)/9.8)
t=0
while t<T:
esferaC.pos=(self.velocidadX*t,self.alturaCL-9.8*t**2/2,-2)
plotpos.plot(pos=(t,self.alturaCL-9.8*t**2/2))
plotvel.plot(pos=(t,-9.8*t))
plotacl.plot(pos=(t,-9.8))
t+=0.001
vs.rate(100)
def sResorte(self):
self.kR=self.kR.get()
self.masaR=self.masaR.get()
try:
self.kR=float(self.kR)
self.masaR=float(self.masaR)
except:
self.alerta()
gdpos=vgraph.gdisplay(x=600,y=0,xtitle='Tiempo',ytitle='Posicion')
plotpos=vgraph.gcurve(gdisplay=gdpos,color=vs.color.red)
gdvel=vgraph.gdisplay(x=600,y=600,xtitle='Velocidad',ytitle='Tiempo')
plotvel=vgraph.gcurve(gdisplay=gdvel,color=vs.color.blue)
gdacl=vgraph.gdisplay(x=0,y=900,xtitle='Aceleracion',ytitle='Tiempo')
plotacl=vgraph.gcurve(gdisplay=gdacl,color=vs.color.green)
resorte=vs.helix(pos=(0,5,0),axis=(0,0,-1),radius=0.5,color=vs.color.red)
resfera=vs.sphere(pos=(0,0,0),radius=0.7,color=vs.color.blue)
t=0
while t<=100:
resorte.axis=(0,-5+3*np.cos(np.sqrt(self.kR/self.masaR)*t),-1)
resfera.pos=(0,3*np.cos(np.sqrt(self.kR/self.masaR)*t),0)
plotpos.plot(pos=(t,3*np.cos(np.sqrt(self.kR/self.masaR)*t)))
plotvel.plot(pos=(t,-3*np.sqrt(self.kR/self.masaR)*np.sin(np.sqrt(self.kR/self.masaR)*t)))
plotacl.plot(pos=(t,-3*(self.kR/self.masaR)*np.cos(np.sqrt(self.kR/self.masaR)*t)))
t+=0.01
vs.rate(100)
def sEnergia(self): self.alturaE=self.alturaE.get() self.masaE=self.masaE.get() try: self.alturaE=float(self.alturaE) self.masaE=float(self.masaE) except: self.alerta() gdenergia=vgraph.gdisplay(x=600,y=0,xtitle='Tiempo',ytitle='Energia') plotpot=vgraph.gcurve(gdisplay=gdenergia,color=vs.color.green) plotcin=vgraph.gcurve(gdisplay=gdenergia,color=vs.color.red) plottot=vgraph.gcurve(gdisplay=gdenergia,color=vs.color.blue) sueloE=vs.box(pos=(0,-1,0),length=30,height=0.1,width=1,color=vs.color.blue) esferaE=vs.sphere(pos=(0,self.alturaE,-2),radius=1,color=vs.color.red) T=np.sqrt(2*(self.alturaE)/9.8) t=0 while t<=T: esferaE.pos=(0,self.alturaE-9.8*t**2/2,-2) plotpot.plot(pos=(t,9.8*self.masaE*(self.alturaE-9.8*t**2/2))) plotcin.plot(pos=(t,self.masaE*(9.8*t)**2/2)) plottot.plot(pos=(t,9.8*self.masaE*(self.alturaE-9.8*t**2/2)+self.masaE*(9.8*t)**2/2)) t+=0.01 vs.rate(100)
C Bordeianu, Univ Bucharest, 2017.
Please respect copyright & acknowledge our work."""
# SplineInteract.py Spline fit with slide to control number of points
from visual import *; from visual.graph import *;
from visual.graph import gdisplay, gcurve
from visual.controls import slider, controls, toggle
x = array([0., 0.12, 0.25, 0.37, 0.5, 0.62, 0.75, 0.87, 0.99]) # input
y = array([10.6, 16.0, 45.0, 83.5, 52.8, 19.9, 10.8, 8.25, 4.7])
n = 9; np = 15
# Initialize
y2 = zeros( (n), float); u = zeros( (n), float)
graph1 = gdisplay(x=0,y=0,width=500, height=500,
title='Spline Fit', xtitle='x', ytitle='y')
funct1 = gdots(color = color.yellow)
funct2 = gdots(color = color.red)
graph1.visible = 0
def update(): # Nfit = 30 = output
Nfit = int(control.value)
for i in range(0, n): # Spread out points
funct1.plot(pos = (x[i], y[i]) )
funct1.plot(pos = (1.01*x[i], 1.01*y[i]) )
funct1.plot(pos = (.99*x[i], .99*y[i]) )
yp1 = (y[1]-y[0]) / (x[1]-x[0]) - (y[2]-y[1])/ \
(x[2]-x[1])+(y[2]-y[0])/(x[2]-x[0])
ypn = (y[n-1] - y[n-2])/(x[n-1] - x[n-2]) - (y[n-2]-y[n-3])/(x[n-2]-x[n-3]) + (y[n-1]-y[n-3])/(x[n-1]-x[n-3])
if (yp1 > 0.99e30): y2[0] = 0.; u[0] = 0.
else:
def plotTrajectory(arg, color = sf.cyan, xyRate=True, radiusRate = 80.0
, blAxes = True):
"""' plot 2D/3D trajectory. You can hand over list of length 2 element at 2D
or length 3 element at 3D.
The line radius is 1/200 for max display size. The line radius can be
changed by radiusRate.
If blAxes = False then the RGB axis is not displayed.
At 2D plot, if xyRage == False then plot in a same hight/width square
'"""
if not(hasattr(arg, '__getitem__')) and hasattr(arg, '__iter__'):
arg = list(arg)
vs = sf.vs_()
color = tuple(color) # color argment may be list/vector
if isinstance(arg,list) or isinstance(arg,tuple) or isinstance(
arg,type(sf.sc.array([0,]))):
from octnOp import ClOctonion
if not(hasattr(arg[0],'__len__')) and isinstance(arg[0], complex):
arg = [ (x.real, x.imag) for x in arg]
elif not(hasattr(arg[0],'__len__')) and isinstance(arg[0], ClOctonion):
arg = [ x[1:4] for x in arg]
if len(arg[0])==2:
import visual.graph as vg
global __obj2dDisplayGeneratedStt
maxX = max([abs(elm[0]) for elm in arg])
maxY = max([abs(elm[1]) for elm in arg])
print "maxX:",maxX, " maxY:",maxY
if (__obj2dDisplayGeneratedStt == None):
if xyRate == True: # 11.01.16 to
maxAt = max(maxX, maxY)
__obj2dDisplayGeneratedStt = vg.gdisplay(
width=600*maxX/maxAt,height=600*maxY/maxAt)
else:
__obj2dDisplayGeneratedStt = vg.gdisplay(
width=600,height=600)
#__bl2dDisplayGeneratedStt = True
grphAt = vg.gcurve(color = color)
for i in range(len(arg)):
assert len(arg[i])==2, "unexpeted length data:"+str(arg[i])
grphAt.plot(pos = arg[i])
#return __obj2dDisplayGeneratedStt
#import pdb; pdb.set_trace()
#print "debug:",grphAt.gcurve.pos
# plot start mark
grphSqAt = vg.gcurve(color = color)
pos0At = grphAt.gcurve.pos[0,:][:2]
rateAt = 50
for x,y in sf.mitr([-maxX/rateAt, maxX/rateAt]
, [-maxY/rateAt, maxY/rateAt]):
grphSqAt.plot(pos = pos0At+[x,y])
grphSqAt.plot(pos = pos0At+[-maxX/rateAt,-maxY/rateAt])
return grphAt # 09.02.04 to animate graph
elif len(arg[0])==3:
vs.scene.forward=(-1,+1,-1)
vs.scene.up=(0,0,1)
c = vs.curve( color = color )
maxX, maxY, maxZ = 0,0,0
for i in range(len(arg)):
if maxX < abs(arg[i][0]):
maxX = abs(arg[i][0])
if maxY < abs(arg[i][1]):
maxY = abs(arg[i][1])
if maxZ < abs(arg[i][2]):
maxZ = abs(arg[i][2])
c.append( arg[i] )
#print c.pos
print "maxX:",maxX, " maxY:",maxY, " maxZ:",maxZ
maxAt = max(maxX,maxY,maxZ)
c.radius = maxAt/radiusRate
vs.sphere(pos = arg[0], radius = 3*c.radius, color = color)
if blAxes == True:
# draw axise
vs.curve( pos=[(0,0,0), (maxAt,0,0)]
, color=(1,0,0)
, radius = maxAt/100 )
vs.curve( pos=[(0,0,0), (0,maxAt,0)]
, color=(0,1,0)
, radius = maxAt/100 )
vs.curve( pos=[(0,0,0), (0,0,maxAt)]
, color=(0,1,1)
, radius = maxAt/100 )
#return vs.scene
return c # 09.02.04 to animate graph
else:
assert False,"unexpeted data:"+str(arg)
def plotGr(vctAg, start=(), end=None, N=50, color = sf.cyan):
"""' plot graph for a function or vector data
If you call plotGr(..) a number of times, then the graphs were plotted
in piles.
start,end are domain parameters, which are used if vctAg type is
function
if you want to vanish the graph then do as below
objAt=plotGr(..)
.
.
objAt.visible = None
usage:
plotGr(sin) # plot sin graph in a range from 0 to 1
plotGr(sin,-3,3) #plot sin in a range from -3 to 3
plotGr(sin,[-3,-2,0,1])
# plot sequential line graph by
# [(-3,sin(-3),(-2,sin(-2),(0,sin(0),(1,sin(1)]
plotGr([sin(x) for x in klsp(-3,3)]) # plot a sequence data
'"""
if not(hasattr(vctAg, '__getitem__')) and hasattr(vctAg, '__iter__'):
vctAg = list(vctAg)
vs = sf.vs_()
global __objGrDisplayGeneratedStt
color = tuple(color) # color argment may be list/vector
import visual.graph as vg
if __objGrDisplayGeneratedStt == None:
__objGrDisplayGeneratedStt = vg.gdisplay()
grphAt = vg.gcurve( color = color)
#grphAt = vg.gcurve(gdisplay=dspAt, color = color)
#import pdb; pdb.set_trace()
if '__call__' in dir(vctAg):
# vctAg is function
if start != () and end == None and hasattr(start, '__iter__'):
for x in start:
grphAt.plot(pos = [x, float(vctAg(x))] )
else:
if start == ():
start = 0
if end == None:
end = 1
assert start != end
if start > end:
start, end = end, start
#assert start != end
"""'
for x in arsq(start, N, float(end-start)/N):
# 08.10.27 add float(..) cast to avoid below error
# "No registered converter was able to produce a C++ rvalue"
# at ;;n=64;plotGr([sf.sc.comb(n,i) for i in range(n)])
grphAt.plot(pos = [x, float(vctAg(x))] )
'"""
for x in sf.klsp(start, end, N):
# 09.12.03 to display end and avoid 0
grphAt.plot(pos = [x, float(vctAg(x))] )
#return grphAt
return __objGrDisplayGeneratedStt
else:
if (start != ()) or (end != None):
#import pdb; pdb.set_trace()
if start == ():
start = 0
if end == None:
end = 1
assert start != end
if start > end:
start, end = end, start
N = len(vctAg)
for i, x in enmasq([start, N, (end - start)/N]):
grphAt.plot(pos = [x, float(vctAg[i])] )
else:
for i in range(len(vctAg)):
grphAt.plot(pos = [i, float(vctAg[i])] )
#return grphAt
return __objGrDisplayGeneratedStt
#Efecto Talbot
from visual import *
from visual.graph import gdisplay, gdots
m = 1. #cte.
L = 1.e-3 #Frecuencia espacial de la red de difraccion en m
D = 10.*L #Longitud de la red en m
lamb = 520e-9 #Longitud de onda del verde en m
dx = L/30. #Paso
escena = gdisplay(height=500,width=500,
xmin=-0.5*D,xmax=0.5*D,ymin=-0.5*D,ymax=0.5*D)
puntos = []
def Intensidad(x,z):
I = 0.25*(1.+2.*m*cos(pi*lamb*z/(L*L))*cos(2.*pi*x/L)
+m*m*cos(2.*pi*x/L)**2)
return I
j=0
for i in arange(-0.5*D,0.5*D,dx):
puntos.append(gdots())
puntos[j].radius=dx/2
height=0.005, width=plate_size, color=color.blue )
plate.velocity = vector(0, A*omega*cos(phi), 0)
# Define balls
balls = [ sphere(pos=(-plate_size/4, 0, 0), color=color.yellow),
sphere(pos=( 0 , 0, 0), color=color.red ),
sphere(pos=( plate_size/4, 0, 0), color=color.green ) ]
for i in range(len(height)) :
balls[i].pos.y = height[i]+plate.height
balls[i].radius = ball_size/2.0
balls[i].id = str(i) # Tag ball
for b in balls: b.velocity = vector(0,0,0)
# Define y position plots
position_plots = gdisplay(width=800, height=240,
title='Vertical position of balls and plate vs time',
xtitle='time', ytitle='y', y=400,
foreground=color.black, background=(0.5,0.5,0.5))
plateplot = gcurve(gdisplay=position_plots, color=color.blue)
for b in balls: b.y_plot = gcurve(gdisplay=position_plots, color=b.color)
# Define bounce time plots
step_plots = gdisplay(width=600, height=400, x=200,
title='Current vs previous bounce intervals',
xtitle='previous bounce',
ytitle='current bounce (in units of plate oscillation period)',
foreground=color.black, background=(0.5,0.5,0.5))
for b in balls: b.step_plot = gdots(gdisplay=step_plots, color=b.color)
def bounce(ball,a,L):
bounced = False
# Calculate new ball velocity and position using symplectic Euler method.
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 graphtool(self,count): self.ssidlabel=[] self.ssidcolor=[] self.f=vg.gdisplay(title='AterOS PyWifi-Analyzer==========Signal Quality',xmin=(-1.0*count/4),xmax=count,ymin=0.0,ymax=1.0,xtitle='count',ytitle='quality ratio') self.g=vg.gdisplay(title='AterOS PyWifi-Analyzer==========Signal Level',xmin=(-1.0*count/4),xmax=count,ymin=-100.0,ymax=0.0,xtitle='count',ytitle='level dbm')