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ROS.py
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ROS.py
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import matplotlib.pyplot as plt
from matplotlib import ticker
from celluloid import Camera
import numpy as np
from scipy.optimize import curve_fit, OptimizeWarning
import math
import os
import warnings
warnings.filterwarnings("ignore", message="Covariance of the parameters could not be estimated")
warnings.filterwarnings("ignore", message="Log scale: values of z <= 0 have been masked")
class Oblak:
def __init__(self,r,mC,T,uloz=True,video=True,fituj=True,model="1D",opakuj_na_frame=200,n=100,dt=1e-4,t=0,
k=1.38065e-19,kraj=1e6,tolerancia_chyby_A=1e-3,t_posun = 1,vysl_poc=31,rozmery="1x1"):
self.r = r # Pološírka oblaku (cm)
self.mC = mC # Hmotnost jednej castice
self.T = T # Teplota (K)
self.uloz = uloz # Ak True, tak uklada datove subory
self.video = video # Ak True, tak generuje video
self.fituj = fituj # Ak True, tak fituje relativnu hustotu Gaussianom
self.model = model # Typ modelu podla ktoreho pocita (1D, polarny, sfericky)
self.opakuj_na_frame = opakuj_na_frame # Kolko simulacnych cyklov urobi pocas jedneho frame
self.n = n # Skalovací faktor elementu resp. pocet elementov
self.dr = r/n # Velkost elementu (cm)
self.dt = dt # Element casu (s)
self.t = t # Aktualny cas v simulacii (s)
self.k = k # Boltzmannova konstanta (cm)
self.kTlmC = k*T/mC # Pomocna konstanta (cm)
self.kraj = kraj # Hypoteticky element strasne daleko (cm)
self.tolerancia_chyby_A = tolerancia_chyby_A # urcuje zaciatok relevantnej oblasti
self.t_posun = t_posun # ako casto sa zapisuju vysledky (s)
self.vysl_poc = vysl_poc # kolkokrat sa zapisuju vysledky
self.poc_vysl = 0 # pocitadlo zapisanych vysledkov
self.t_fin = t_posun*(vysl_poc-1) # finalny cas po ktory sa simuluje (s)
self.frame_posun = int(t_posun/(opakuj_na_frame*dt)) # po kolko frames sa zapisuju vysledky
self.frames_poc = 1 + int(self.t_fin/(opakuj_na_frame*dt)) # celkovy pocet frames
self.x = np.linspace(self.dr,r-self.dr,n-1) # Stredy elementov (cm)
self.v = np.zeros(n-1) # Rychlosti stredov elementov (cm/s)
self.a = np.zeros(n-1) # Zrychlenia stredov elementov (cm/s^2)
# element na pozicii x=0 sa nehybe
self.dxL = np.array((n-1)*[self.dr]) # vzidalenost ku stredu elementu nalavo (cm)
self.dxR = np.array((n-2)*[self.dr]+[kraj]) # vzidalenost ku stredu elementu napravo (cm)
self.rho = 2*self.dr/(self.dxL+self.dxR) # relativna hustota
# v elemente dr*(dxL+dxR) je 1+0.5+0.5 gulicky => faktor 2*
self.rhos_stred = np.zeros(self.frames_poc) # stredove hustoty
self.rhos_stred_vysl = np.zeros(vysl_poc)
self.zac_rel_oblasti_frame = 0
self.koniec_rel_oblasti = -1
self.zac_fitu_A_sigma_cas = np.inf
self.casy = np.linspace(0,self.t_fin,num=self.frames_poc) # Casy od zaciatku rozpinania
self.Acka = np.zeros(self.frames_poc) # Konstanta A z Gaussianu
self.Acka_se = np.zeros(self.frames_poc)
self.sigmy = np.zeros(self.frames_poc) # Sigma Gaussianu
self.sigmy_se = np.zeros(self.frames_poc)
self.Acka_vysl = np.zeros(vysl_poc)
self.Acka_se_vysl = np.zeros(vysl_poc)
self.sigmy_vysl = np.zeros(vysl_poc)
self.sigmy_se_vysl = np.zeros(vysl_poc)
self.casy_vysl = np.linspace(0,self.t_fin,num=vysl_poc)
self.fitol_som_hustotu = True
self.rozmery = rozmery
self.nazov = "oblak_"+str(self.r)+"cm_"+str(self.mC)+"kg_"+str(self.T)+"K"
self.x_H_od_t = np.zeros(self.frames_poc)
self.x_H_od_t[0] = self.r
if self.mC < 1e-18:
self.n = 50
#VIDEO
if self.video:
self.fig = plt.figure()
self.y = np.zeros(n-1)
plt.xlim(0,50) ; plt.ylim(0,115)
plt.xlabel("$x$ (cm)")
plt.title("$r$ = "+str(self.r)+" cm, $m_C$ = "+str(self.mC)+" kg, $T$ = "+str(self.T)+" K")
if uloz: self.fig.set_dpi(300)
self.camera = Camera(self.fig)
def simuluj_1D(self):
self.a = self.kTlmC*(1/self.dxL - 1/self.dxR)
dx = 0.5*self.a*self.dt*self.dt + self.v*self.dt
self.x += dx ; self.dxL += dx ; self.dxR -= dx
dx_ = np.append(0,dx)
dxL_ = np.append(self.dxL,0)
dxR_ = np.append([0,0],self.dxR)
for i in range(self.n):
dxL_[i] -= dx_[i]
dxR_[i] += dx_[i]
self.dxL = dxL_[0:-1]
self.dxR = dxR_[2:]
self.rho = 2*self.dr/(self.dxL+self.dxR)
self.v += self.a*self.dt
def ukonci_predcasne(self,poc):
self.t_fin = (poc-1)*self.opakuj_na_frame*self.dt
self.Acka = self.Acka[:poc]
self.Acka_se = self.Acka_se[:poc]
self.sigmy = self.sigmy[:poc]
self.sigmy_se = self.sigmy_se[:poc]
self.rhos_stred = self.rhos_stred[:poc]
self.casy = self.casy[:poc]
self.frames_poc = poc
def fituj_hustotu(self,poc): #gaussianom, SIGMA JE V CM
with warnings.catch_warnings():
warnings.simplefilter("error", OptimizeWarning)
try:
popt,pcov = curve_fit(gauss,self.x,self.rho)
popt[1] = abs(popt[1])
except:
#print(poc, "neviem nafitovat")
self.fitol_som_hustotu = False
if self.t > 10:
self.ukonci_predcasne(poc)
return True
else:
if self.koniec_rel_oblasti == -1:
self.koniec_rel_oblasti = poc
return False
self.fitol_som_hustotu = True
# zastavi simulaciu ak je nieco nafitovane ako zaporne a zaroven t > 10s
if (popt[0] <= 0) or (pcov[0,0] <= 0) or (pcov[1,1] <= 0):
if self.t > 10:
self.ukonci_predcasne(poc)
print(poc, "zly fit", popt[0], popt[1], pcov[0,0], pcov[1,1])
return True
else:
self.zac_rel_oblasti_frame = poc+1
else:
perr = 2*np.sqrt(np.diag(pcov))
self.Acka[poc] = popt[0]
self.Acka_se[poc] = perr[0]
self.sigmy[poc] = popt[1]
self.sigmy_se[poc] = perr[1]
if (poc % self.frame_posun) == 0:
self.Acka_vysl[self.poc_vysl] = popt[0]
self.Acka_se_vysl[self.poc_vysl] = perr[0]
self.sigmy_vysl[self.poc_vysl] = popt[1]
self.sigmy_se_vysl[self.poc_vysl] = perr[1]
return False
def animacia(self):
for poc in range(self.frames_poc):
if self.fituj:
if self.fituj_hustotu(poc):
print("stop po "+str(self.t_fin)+" s")
break
for j in range(self.opakuj_na_frame):
if self.model == "1D":
self.simuluj_1D()
self.t += self.dt
# x_H (hranicne x kde dochadza ku zlomu rho)
self.rho_rozsirene = np.append([self.dr/self.dxL[0]],self.rho)
self.x_rozsirene = np.append([0],self.x)
self.x_H_od_t[poc] = self.x_rozsirene[np.argmax(self.rho_rozsirene < 0.99)]
self.rhos_stred[poc] = self.rho[0]
#print(self.rhos_stred)
if (poc % self.frame_posun) == 0:
self.rhos_stred_vysl[self.poc_vysl] = self.rho[0]
self.poc_vysl += 1
if self.video:
plt.plot(self.x,self.y,'|',color='black')
plt.plot(self.x,100*self.rho,color='black',label="$\\rho_r(x,t)$ (%)")
if self.fituj:
if (self.zac_rel_oblasti_frame < poc) and (self.fitol_som_hustotu == True):
plt.plot(self.x,100*gauss(self.x,self.Acka[poc],self.sigmy[poc]),color='red',alpha=0.5,
label="fit $\\rho_r$ Gaussianom")
plt.text(0.7,0.70,"$t$ = "+str('{:.2f}'.format(round(self.casy[poc],2)))+" s",
transform=self.fig.transFigure)
self.camera.snap()
if self.video:
plt.text(0.6,0.83,"─── $\\rho_r(x,t)$ (%)",transform=self.fig.transFigure)
plt.text(0.6,0.78,"───",c='red',transform=self.fig.transFigure)
plt.text(0.654,0.78,"fit $\\rho_r$ Gaussianom",transform=self.fig.transFigure)
self.ani = self.camera.animate(interval=int(1000*self.opakuj_na_frame*self.dt))
def ulozenie(self):
if self.fituj:
self.zdrojove_cesty = ["data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+".mp4",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_casy.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_Acka.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_Acka_se.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_sigmy.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_sigmy_se.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_rhos_stred.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_parametre.npy"]
else:
self.zdrojove_cesty = ["data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+".mp4",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_casy.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_rhos_stred.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_parametre.npy"]
# vytvorenie priecinkovej struktury
if not os.path.exists("data_"+self.rozmery+"_"+str(self.T)+"K"):
os.makedirs("data_"+self.rozmery+"_"+str(self.T)+"K")
if not os.path.exists("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov):
os.makedirs("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov)
#ulozenie videa
if self.video:
if os.path.exists(self.zdrojove_cesty[0]):
os.remove(self.zdrojove_cesty[0])
self.ani.save(self.zdrojove_cesty[0])
plt.close(fig=self.fig)
# ulozenie datovych suborov
self.parametre = np.array([self.r,self.mC,self.T,self.opakuj_na_frame,self.n,self.dr,self.dt,self.t,
self.k,self.kTlmC,self.kraj,self.tolerancia_chyby_A,
self.t_posun,self.vysl_poc,self.poc_vysl,self.t_fin,
self.frame_posun,self.frames_poc])
if self.fituj:
data_ = [self.casy,self.Acka,self.Acka_se,self.sigmy,self.sigmy_se,self.parametre,self.rhos_stred]
else:
data_ = [self.casy,self.parametre,self.rhos_stred]
for i in range(len(data_)):
if os.path.exists(self.zdrojove_cesty[i+1]):
os.remove(self.zdrojove_cesty[i+1])
np.save(self.zdrojove_cesty[i+1],data_[i])
def x_H_plot(self):
self.fig3 = plt.figure()
plt.plot(self.casy,self.x_H_od_t)
plt.title("$r$ = "+str(self.r)+" cm, $m_C$ = "+str(self.mC)+", $T$ = "+str(self.T)+"K")
plt.xlabel("$t$ (s)")
plt.ylabel("$x_H$ (cm)")
if self.uloz:
plt.savefig("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_x_H_od_t.png",dpi=300)
plt.close(fig=self.fig3)
else:
plt.show()
def fitovanie(self):
self.fig2 = plt.figure()
try:
frame_poc = np.argmax(self.Acka_se[self.zac_rel_oblasti_frame:self.koniec_rel_oblasti] < self.tolerancia_chyby_A)
except:
print("nie je relevantna oblast Acka")
frame_poc = 0
hranica_relevantnosti = 0.95
if frame_poc == 0 or frame_poc > hranica_relevantnosti * self.frames_poc: # nebola cely cas resp. dlho (>95%)
print("fit failed") # dosiahnuta pozadovana presnost na fit
if self.poc_vysl == self.vysl_poc:
print("ale je to ok :)")
plt.plot(self.casy,100*self.rhos_stred,c='black',label=r'$\rho_r$ v strede (%)')
if self.uloz:
if os.path.exists("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_rhos_stred_vysl.npy"):
os.remove("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_rhos_stred_vysl.npy")
np.save("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_rhos_stred_vysl.npy",
self.rhos_stred_vysl)
return
frame_kon = self.koniec_rel_oblasti # koniec relevantnej oblasti
# hyperbolicky fit A
poptH,pcovH = curve_fit(hyperbola,self.casy[frame_poc:frame_kon],self.Acka[frame_poc:frame_kon])
perrH = 2*np.sqrt(np.diag(pcovH))
self.B = poptH[0] ; self.C = poptH[1]
zac_kreslenia_Acka = (poptH[1] < 0) * math.ceil(-poptH[1]/(self.opakuj_na_frame*self.dt))
# lineárny fit sigmy (JE V CM)
poptL,pcovL = curve_fit(priamka,self.casy[frame_poc:frame_kon],self.sigmy[frame_poc:frame_kon])
perrL = 2*np.sqrt(np.diag(pcovL))
self.D = poptL[0] ; self.E = poptL[1]
# A
plt.plot(self.casy,100*self.Acka,c='red',label="$A$ (%)")
plt.plot(self.casy,100*self.Acka_se*10,c='brown',alpha=.5,label="$\sigma_A \cdot 10$ (%)")
plt.plot(self.casy[zac_kreslenia_Acka:],100*hyperbola(self.casy[zac_kreslenia_Acka:],
poptH[0],poptH[1]),c='orange',label="hyperbolicky fit $A$")
# sigma (JE V CM)
plt.plot(self.casy,self.sigmy,c='blue',label="$\sigma$ (cm)")
plt.plot(self.casy,self.sigmy_se*100,c='navy',alpha=.5,label="$\sigma_\sigma$ (cm$\cdot 10^{-2}$)")
plt.plot(self.casy,poptL[0]*self.casy+poptL[1],c='green',label="lineárny fit $\sigma$")
# rho relativne
plt.plot(self.casy,100*self.rhos_stred,c='black',label=r'$\rho_r$ v strede (%)')
# relevantna oblast
self.zac_fitu_A_sigma_cas = frame_poc*self.opakuj_na_frame*self.dt
plt.axvline(x=self.zac_fitu_A_sigma_cas,c='black',linestyle='--',lw=1,alpha=.5,
label="zaciatok fitu $A$ a $\sigma$")
#ZAPISANIE VYSLEDKOV
self.Acka_vysl[self.poc_vysl:] = hyperbola(self.casy_vysl[self.poc_vysl:],poptH[0],poptH[1])
self.sigmy_vysl[self.poc_vysl:] = priamka(self.casy_vysl[self.poc_vysl:],poptL[0],poptL[1])
self.rhos_stred_vysl[self.poc_vysl:] = self.Acka_vysl[self.poc_vysl:]
#print(self.poc_vysl)
# metoda prenosu chyb
clen1H = 1/(poptH[1]+self.casy_vysl[self.poc_vysl:])
self.Acka_se_vysl[self.poc_vysl:] = clen1H * np.sqrt(
perrH[0]*perrH[0] + (poptH[0]*poptH[0]*perrH[1]*perrH[1])/(clen1H*clen1H))
self.sigmy_se_vysl[self.poc_vysl:] = np.sqrt(
perrL[0]*perrL[0]*np.square(self.casy_vysl[self.poc_vysl:]) + perrL[1]*perrL[1])
#ulozenie
if self.uloz:
self.zdrojove_cesty_2 = [
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_casy_vysl.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_Acka_vysl.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_Acka_se_vysl.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_sigmy_vysl.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_sigmy_se_vysl.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_rhos_stred_vysl.npy",
"data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_konstanty_fitu.npy" ]
data_ = [self.casy_vysl,self.Acka_vysl,self.Acka_se_vysl,self.sigmy_vysl,self.sigmy_se_vysl,
self.rhos_stred_vysl,np.array([[poptH[0],poptH[1],poptL[0],poptL[1]],
[perrH[0],perrH[1],perrL[0],perrL[1]], self.zac_fitu_A_sigma_cas],dtype=object)]
for i in range(len(data_)):
if os.path.exists(self.zdrojove_cesty_2[i]):
os.remove(self.zdrojove_cesty_2[i])
np.save(self.zdrojove_cesty_2[i],data_[i])
else:
print("B = "+str(poptH[0])+" s ; chyba = "+str(perrH[0])+" s")
print("C = "+str(poptH[1])+" s ; chyba = "+str(perrH[1])+" s")
print("D = "+str(poptL[0])+" cm/s ; chyba = "+str(perrL[0])+" cm/s")
print("E = "+str(poptL[1])+" cm ; chyba = "+str(perrL[1])+" cm")
def ulozenie_fitu(self):
plt.xlim(0,self.t_fin) ; plt.ylim((0,115))
plt.title("$r = $"+str(self.r)+" cm, $m_C = $"+str(self.mC)+" kg, $T = $"+str(self.T))
plt.legend(loc=1)
plt.xlabel("$t$ (s)")
if self.uloz:
plt.savefig("data_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"/"+self.nazov+"_graf.png",dpi=300)
plt.close(fig=self.fig2)
else:
plt.show()
def spracovanie(self):
self.animacia()
if self.uloz:
self.ulozenie()
else:
plt.show()
if self.fituj:
self.fitovanie()
self.ulozenie_fitu()
#ULOZENIE SUBORU
def uloz(cesta,data):
if os.path.exists(cesta):
os.remove(cesta)
np.save(cesta,data)
#FITOVACIE FUNKCIE
def gauss(r, A, sigma):
return A * np.exp(-0.5*(r*r)/(sigma*sigma))
def hyperbola(t, B, C):
return B/(t+C)
def priamka(t,slope,intercept): #D,E
return slope*t + intercept
def loglogfit(r,P,Q):
return r**P * 10**Q
#ZAOKRUHLOVACIA FUNKCIA
def round_sig(x, sig=3):
if x == 0:
return 0
else:
return round(x, sig-int(math.floor(math.log10(abs(x))))-1)
#COLORMESH GRAFY a INÉ GRAFY
def colormesh(rozmery,t,T=200,fps=50,smooth=False,uloz=True):
poc = t*fps
r_moznosti, mC_moznosti = np.load("vysledky_"+rozmery+"_"+str(T)+"K/config_"+rozmery+"_"+str(T)+"K.npy", allow_pickle=True)
r_num = r_moznosti.size
mC_num = mC_moznosti.size
Acka = [[0 for j in range(mC_num)] for i in range(r_num)]
sigmy = [[0 for j in range(mC_num)] for i in range(r_num)]
rhos_stred = [[0 for j in range(mC_num)] for i in range(r_num)]
zac_fitu_A_sigma_cas = [[0 for j in range(mC_num)] for i in range(r_num)]
prechodova_oblast = [[0 for j in range(mC_num)] for i in range(r_num)]
prechodova_oblast_r = [] ; prechodova_oblast_r_log = []
prechodova_oblast_mC = [] ; prechodova_oblast_mC_log = []
try:
t_Hs = np.load("data_BD_"+rozmery+"_"+str(T)+"K/t_Hs.npy")
alternativna_prechodova_oblast = True
except:
alternativna_prechodova_oblast = False
if alternativna_prechodova_oblast == True:
prechodova_oblast_alt = [[0 for j in range(mC_num)] for i in range(r_num)] # ako hornu hranicu berie t_H < 10s
prechodova_oblast_alt_r = [] ; prechodova_oblast_alt_r_log = []
prechodova_oblast_alt_mC = [] ; prechodova_oblast_alt_mC_log = []
for i in range(mC_num):
for j in range(r_num):
nazov = "oblak_"+str(round_sig(r_moznosti[j]))+"cm_"+str(round_sig(mC_moznosti[i]))+"kg_"+str(T)+"K"
nazov_Acka = "data_"+rozmery+"_"+str(T)+"K/"+nazov+"/"+nazov+"_Acka.npy"
nazov_sigmy = "data_"+rozmery+"_"+str(T)+"K/"+nazov+"/"+nazov+"_sigmy.npy"
nazov_rhos_stred = "data_"+rozmery+"_"+str(T)+"K/"+nazov+"/"+nazov+"_rhos_stred_vysl.npy"
nazov_konstanty_fitu = "data_"+rozmery+"_"+str(T)+"K/"+nazov+"/"+nazov+"_konstanty_fitu.npy"
Acka[i][j] = np.load(nazov_Acka)[poc]
sigmy[i][j] = np.load(nazov_sigmy)[poc]
rhos_stred[i][j] = np.load(nazov_rhos_stred)[t]
try:
zac_fitu_A_sigma_cas[i][j] = np.load(nazov_konstanty_fitu,allow_pickle=True)[2]
#print(zac_fitu_A_sigma_cas[i][j])
except:
zac_fitu_A_sigma_cas[i][j] = np.inf
if (zac_fitu_A_sigma_cas[i][j] < 10) and (rhos_stred[i][j] > 0.05):
prechodova_oblast[i][j] = 1
prechodova_oblast_r.append(r_moznosti[j])
prechodova_oblast_r_log.append(np.log10(r_moznosti[j]))
prechodova_oblast_mC.append(mC_moznosti[i])
prechodova_oblast_mC_log.append(np.log10(mC_moznosti[i]))
if alternativna_prechodova_oblast == True:
if (t_Hs[i][j] < 10) and (rhos_stred[i][j] > 0.05):
prechodova_oblast_alt[i][j] = 1
prechodova_oblast_alt_r.append(r_moznosti[j])
prechodova_oblast_alt_r_log.append(np.log10(r_moznosti[j]))
prechodova_oblast_alt_mC.append(mC_moznosti[i])
prechodova_oblast_alt_mC_log.append(np.log10(mC_moznosti[i]))
X,Y = np.meshgrid(np.array(r_moznosti),np.array(mC_moznosti))
Z_Acka = np.array(Acka)
Z_sigmy = np.array(sigmy)
Z_rhos_stred = np.array(rhos_stred)
Z_zac_fitu_A_sigma_cas = np.array(zac_fitu_A_sigma_cas)
Z_prechodova_oblast = np.array(prechodova_oblast)
Z_prechodova_oblast_alt = np.array(prechodova_oblast_alt)
if smooth:
levels_Acka = np.linspace(0, 1, 256)
levels_sigmy = np. linspace(0,100,256)
levels_rhos_stred = np.linspace(0, 1, 256)
levels_zac_fitu_A_sigma_cas = np.linspace(0, 1, 256)
levels_prechodova_oblast = [0,.5,1]
else:
levels_Acka = np.linspace(0, 1, 11)
levels_sigmy = np. linspace(0,100,11)
levels_rhos_stred = np.linspace(0, 1, 11)
levels_zac_fitu_A_sigma_cas = np.linspace(0, 20, 11)
levels_prechodova_oblast = [0,.5,1]
# Acka
fig, ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_Acka,levels=levels_Acka)
cbar = fig.colorbar(cs,ticks=[0,0.2,0.4,0.6,0.8,1])
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("$A(t = $"+str('{:.1f}'.format(round(poc/fps,2)))+" s$)$, $T$ = "+str(T)+"K")
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/Acka_"+rozmery+"_"+str(T)+"K"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/Acka_"+rozmery+"_"+str(T)+"K"+".png")
else:
plt.show()
# Sigmy
fig, ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_sigmy,levels=levels_sigmy)
cbar = fig.colorbar(cs,ticks=np.linspace(0,100,6))
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("$\sigma(t = $"+str('{:.1f}'.format(round(poc/fps,2)))+" s$)$, $T$ = "+str(T)+"K")
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/sigmy_"+rozmery+"_"+str(T)+"K"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/sigmy_"+rozmery+"_"+str(T)+"K"+".png")
else:
plt.show()
# Rhos stred
fig, ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_rhos_stred,levels=levels_rhos_stred)
#print(rhos_stred)
cbar = fig.colorbar(cs,ticks=[0,0.2,0.4,0.6,0.8,1])
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("$\\rho_r(x = 0$ cm $t = $"+str('{:.1f}'.format(round(poc/fps,2)))+" s$)$, $T$ = "+str(T)+"K")
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/Rhos_stred_"+rozmery+"_"+str(T)+"K"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/Rhos_stred_"+rozmery+"_"+str(T)+"K"+".png")
else:
plt.show()
# zac_fitu_A_sigma_cas
fig,ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_zac_fitu_A_sigma_cas,levels=levels_zac_fitu_A_sigma_cas,cmap='bone')
cbar = fig.colorbar(cs,ticks=np.linspace(0, 20, 11))
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("zaciatok fitu $A, \sigma$ (s), $T$ = "+str(T)+"K")
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/zac_fitu_A_sigma_cas_"+rozmery+"_"+str(T)+"K"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/zac_fitu_A_sigma_cas_"+rozmery+"_"+str(T)+"K"+".png")
else:
plt.show()
# Prechodova oblast
popt,pcov = curve_fit(priamka, prechodova_oblast_mC_log, prechodova_oblast_r_log)
print("Prechodova oblast", popt,pcov)
fig,ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_prechodova_oblast,levels=levels_prechodova_oblast,colors=['white','black'])
#cbar = fig.colorbar(cs,ticks=[0,1])
plt.plot(r_moznosti, loglogfit(r_moznosti,1/popt[0],-popt[1]/popt[0]), c='red', label="lineárny fit prechodovej oblasti v log log škále")
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("Prechodova oblast, $T$ = "+str(T)+"K")
plt.legend()
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/prechodova_oblast_"+rozmery+"_"+str(T)+"K"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/prechodova_oblast_"+rozmery+"_"+str(T)+"K"+".png")
else:
plt.show()
# Prechodova oblast alternativne
if alternativna_prechodova_oblast == True:
popt_alt,pcov_alt = curve_fit(priamka, prechodova_oblast_alt_mC_log, prechodova_oblast_alt_r_log)
print("Prechodova oblast alternativne", popt_alt,pcov_alt)
fig,ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_prechodova_oblast_alt,levels=levels_prechodova_oblast,colors=['white','black'])
#cbar = fig.colorbar(cs,ticks=[0,1])
plt.plot(r_moznosti, loglogfit(r_moznosti,1/popt_alt[0],-popt_alt[1]/popt_alt[0]), c='red', label="lineárny fit prechodovej oblasti v log log škále")
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("Prechodova oblast alternativne, $T$ = "+str(T)+"K")
plt.legend()
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/prechodova_oblast_alt_"+rozmery+"_"+str(T)+"K"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(T)+"K"+"/prechodova_oblast_alt_"+rozmery+"_"+str(T)+"K"+".png")
else:
plt.show()
def colormesh_anim(rozmery,co,T,poc_moznosti,fps,smooth=False,uloz=True):
fig,ax = plt.subplots()
if uloz: fig.set_dpi(300)
camera = Camera(fig)
plt.xscale("log")
plt.yscale("log")
plt.xlabel("$r$ (cm)")
plt.ylabel("$m_C$ (kg)")
plt.title("$\\rho_r$ v strede, $T$ = "+str(T)+"K")
if smooth:
levels = np.linspace(0, 1, 256)
else:
levels = np.linspace(0, 1, 11)
for poc in poc_moznosti:
r_moznosti, mC_moznosti = np.load("vysledky_"+rozmery+"_"+str(T)+"K/config_"+rozmery+"_"+str(T)+"K.npy")
r_num = len(r_moznosti)
mC_num = len(mC_moznosti)
rhos_stred_po_t = [[0 for j in range(mC_num)] for i in range(r_num)]
for i in range(mC_num):
for j in range(r_num):
nazov = "oblak_"+str(round_sig(r_moznosti[j]))+"cm_"+str(round_sig(mC_moznosti[i]))+"kg_"+str(T)+"K"
nazov_rhos_stred_vysl = "data_"+rozmery+"_"+str(T)+"K/"+nazov+"/"+nazov+"_"+co+".npy"
rhos_stred_po_t[i][j] = np.load(nazov_rhos_stred_vysl)[poc]
X,Y = np.meshgrid(np.array(r_moznosti),np.array(mC_moznosti))
Z = np.array(rhos_stred_po_t)
#fig.clear()
cs = plt.contourf(X,Y,Z,levels=levels)
#cbar = fig.colorbar(cs,ticks=[0,0.2,0.4,0.6,0.8,1])
plt.text(0.6,0.8,"$t$ = "+str('{:.2f}'.format(round(poc/fps,2)))+" s", transform=fig.transFigure)
camera.snap()
ani = camera.animate(interval=int(1000/fps))
if uloz:
if smooth:
ani.save("vysledky_"+rozmery+"_"+str(T)+"K"+"/colormesh_anim_"+rozmery+"_"+str(T)+"K"+"_smooth.mp4")
else:
ani.save("vysledky_"+rozmery+"_"+str(T)+"K"+"/colormesh_anim_"+rozmery+"_"+str(T)+"K"+".mp4")
else:
plt.show()
def colormesh_T(rozmery,t,r=1,fps=50,smooth=False,uloz=True):
poc = t*fps
T_moznosti, mC_moznosti = np.load("vysledky_"+rozmery+"_"+str(r)+"cm/config_"+rozmery+"_"+str(r)+"cm.npy", allow_pickle=True)
T_num = T_moznosti.size
mC_num = mC_moznosti.size
X,Y = np.meshgrid(np.array(T_moznosti),np.array(mC_moznosti))
Z_rhos = np.transpose(np.load("vysledky_"+rozmery+"_"+str(r)+"cm/vysledky_rhos_po10s_"+rozmery+"_"+str(r)+"cm.npy"))
if smooth:
levels_rhos = np.linspace(0, 1, 256)
else:
levels_rhos = np.linspace(0, 1, 11)
fig, ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z_rhos,levels=levels_rhos)
cbar = fig.colorbar(cs,ticks=[0,0.2,0.4,0.6,0.8,1])
plt.yscale("log")
plt.xlabel("$T$ (K)")
plt.ylabel("$m_C$ (kg)")
plt.title("$\\rho_r$ v strede, $t=$"+str('{:.1f}'.format(round(poc/fps,2)))+" s, $r$ = "+str(r)+"cm")
if uloz:
if smooth:
plt.savefig("vysledky_"+rozmery+"_"+str(r)+"cm"+"/rhos_stred_"+rozmery+"_"+str(r)+"cm"+"_smooth.png")
else:
plt.savefig("vysledky_"+rozmery+"_"+str(r)+"cm"+"/rhos_stred_"+rozmery+"_"+str(r)+"cm"+".png")
else:
plt.show()
def colormesh_T_anim(rozmery,poc_moznosti,r=1,fps=50,smooth=False,uloz=True):
fig, ax = plt.subplots(dpi=300)
camera = Camera(fig)
plt.yscale("log")
plt.xlabel("$T$ (K)")
plt.ylabel("$m_C$ (kg)")
plt.title("$\\rho_r$ v strede, $r=1$ cm")
if smooth:
levels_rhos = np.linspace(0, 1, 256)
else:
levels_rhos = np.linspace(0, 1, 11)
vysledky_rhos_vsetky = np.transpose(np.load("vysledky_"+rozmery+"_"+str(r)+"cm/vysledky_rhos_"+rozmery+"_"+str(r)+"cm.npy"))
T_moznosti, mC_moznosti = np.load("vysledky_"+rozmery+"_"+str(r)+"cm/config_"+rozmery+"_"+str(r)+"cm.npy", allow_pickle=True)
T_num = T_moznosti.size
mC_num = mC_moznosti.size
X,Y = np.meshgrid(np.array(T_moznosti),np.array(mC_moznosti))
for poc in poc_moznosti:
Z_rhos = vysledky_rhos_vsetky[poc]
cs = ax.contourf(X,Y,Z_rhos,levels=levels_rhos)
plt.text(0.6,0.8,"$t$ = "+str('{:.2f}'.format(round(poc/fps,2)))+" s", transform=fig.transFigure)
camera.snap()
ani = camera.animate(interval=int(1000/fps))
if uloz:
if smooth:
ani.save("vysledky_"+rozmery+"_"+str(r)+"cm"+"/colormesh_T_anim_"+rozmery+"_"+str(r)+"cm"+"_smooth.mp4")
else:
ani.save("vysledky_"+rozmery+"_"+str(r)+"cm"+"/colormesh_T_anim_"+rozmery+"_"+str(r)+"cm"+".mp4")
else:
plt.show()
###################################################################################################
###################################################################################################
class Oblak_BD:
def __init__(self,r,mC,T,opakuj_na_frame=200,n=100,dt=1e-4,t=0,
k=1.38065e-19,kraj=1e6,t_fin=30,rozmery="1x1"):
self.r = r # Pološírka oblaku (cm)
self.mC = mC # Hmotnost jednej castice
self.T = T # Teplota (K)
self.opakuj_na_frame = opakuj_na_frame # Kolko simulacnych cyklov urobi pocas jedneho frame
self.n = n # Skalovací faktor elementu resp. pocet elementov
self.dr = r/n # Velkost elementu (cm)
self.dt = dt # Element casu (s)
self.t = t # Aktualny cas v simulacii (s)
self.k = k # Boltzmannova konstanta (cm)
self.kTlmC = k*T/mC # Pomocna konstanta (cm)
self.kraj = kraj # Hypoteticky element strasne daleko (cm)
self.t_fin = t_fin # finalny cas po ktory sa simuluje (s)
self.frames_poc = 1 + int(self.t_fin/(opakuj_na_frame*dt)) # celkovy pocet frames
self.x = np.linspace(self.dr,r-self.dr,n-1) # Stredy elementov (cm)
self.v = np.zeros(n-1) # Rychlosti stredov elementov (cm/s)
self.a = np.zeros(n-1) # Zrychlenia stredov elementov (cm/s^2)
# element na pozicii x=0 sa nehybe
self.dxL = np.array((n-1)*[self.dr]) # vzidalenost ku stredu elementu nalavo (cm)
self.dxR = np.array((n-2)*[self.dr]+[kraj]) # vzidalenost ku stredu elementu napravo (cm)
self.rho = 2*self.dr/(self.dxL+self.dxR) # relativna hustota
# v elemente dr*(dxL+dxR) je 1+0.5+0.5 gulicky => faktor 2*
self.rhos_stred = np.zeros(self.frames_poc) # stredove hustoty
self.casy = np.linspace(0,self.t_fin,num=self.frames_poc) # Casy od zaciatku rozpinania
self.x_H_od_t = np.zeros(self.frames_poc) # polohy zlomu v jednotlivych casoch
self.rozmery = rozmery
self.nazov = "oblak_"+str(self.r)+"cm_"+str(self.mC)+"kg_"+str(self.T)+"K"
if self.mC < 1e-18:
self.n = 50
def simuluj_1D(self):
self.a = self.kTlmC*(1/self.dxL - 1/self.dxR)
dx = 0.5*self.a*self.dt*self.dt + self.v*self.dt
self.x += dx ; self.dxL += dx ; self.dxR -= dx
dx_ = np.append(0,dx)
dxL_ = np.append(self.dxL,0)
dxR_ = np.append([0,0],self.dxR)
for i in range(self.n):
dxL_[i] -= dx_[i]
dxR_[i] += dx_[i]
self.dxL = dxL_[0:-1]
self.dxR = dxR_[2:]
self.rho = 2*self.dr/(self.dxL+self.dxR)
self.v += self.a*self.dt
def animacia(self):
for poc in range(self.frames_poc):
for j in range(self.opakuj_na_frame):
self.simuluj_1D()
self.t += self.dt
#rho_stred = self.rho[0]
rho_stred = self.dr/self.dxL[0]
self.rhos_stred[poc] = rho_stred
if (self.dr/self.dxL[0]) < 0.99:
self.x_H_od_t[poc] = 0
else:
self.x_H_od_t[poc] = self.x[np.argmax(self.rho < 0.99)]
koniec_fitu = self.frames_poc
for i in range(self.frames_poc):
if self.x_H_od_t[i] == 0:
koniec_fitu = i
break
popt,pcov = curve_fit(lambda t, slope: priamka(t,slope,self.r),
self.casy[:koniec_fitu],self.x_H_od_t[:koniec_fitu])
perr = 2*np.sqrt(np.diag(pcov))
self.K = popt[0] # parameter fitu x_H
self.t_H = np.inf
for i in range(self.frames_poc):
if self.rhos_stred[i] < 0.99:
self.t_H = self.casy[i]
break
#self.t_H = self.casy[np.argmax(self.rhos_stred < 0.99)]
self.ulozenie()
return (self.x_H_od_t[-1], self.t_H, self.K)
def ulozenie(self):
if not os.path.exists("data_BD_"+self.rozmery+"_"+str(self.T)+"K"):
os.makedirs("data_BD_"+self.rozmery+"_"+str(self.T)+"K")
uloz("data_BD_"+self.rozmery+"_"+str(self.T)+"K/"+self.nazov+"_rhos_stred.npy", self.rhos_stred)
def colormesh_BD(rozmery,t,T=200,fps=50,smooth=False,uloz=True):
r_moznosti, mC_moznosti, t_fin = np.load("data_BD_"+rozmery+"_"+str(T)+"K/config.npy",allow_pickle=True)
#r_moznosti, mC_moznosti = np.load("data_BD_"+rozmery+"_"+str(T)+"K/config.npy") #docasne
#t_fin = 30
r_num = len(r_moznosti)
mC_num = len(mC_moznosti)
poc = int(t*fps)
rhos_stred_po_t = [[0 for j in range(r_num)] for i in range(mC_num)]
for i in range(r_num):
for j in range(mC_num):
nazov = "oblak_"+str(round_sig(r_moznosti[i]))+"cm_"+str(round_sig(mC_moznosti[j]))+"kg_"+str(T)+"K"
rhos_stred_po_t[j][i] = np.load("data_BD_"+rozmery+"_"+str(T)+"K/"+nazov+"_rhos_stred.npy")[poc]
X,Y = np.meshgrid(np.array(r_moznosti),np.array(mC_moznosti))
Z = np.array(rhos_stred_po_t)
if smooth:
levels = np.linspace(0, 1, 256)
else:
levels = np.linspace(0, 1, 11)
fig, ax = plt.subplots(dpi=300)
cs = ax.contourf(X,Y,Z, levels=levels)
cbar = fig.colorbar(cs,ticks=np.linspace(0,1,6))
plt.xscale("log")
plt.yscale("log")