Black + improvements on pa reflex/puv
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2 changed files with 313 additions and 236 deletions
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@ -16,17 +16,7 @@ from scipy.fftpack import fft, ifft
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from scipy.signal import detrend
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from scipy.signal import detrend
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from numpy import angle
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from numpy import angle
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# fonction moyenne glissante
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g = 9.81
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def lissage(Lx,Ly,p):
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'''Fonction qui débruite une courbe par une moyenne glissante
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sur 2P+1 points'''
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Lxout=[]
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Lyout=[]
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Lxout = Lx[p: -p]
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for index in range(p, len(Ly)-p):
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average = np.mean(Ly[index-p : index+p+1])
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Lyout.append(average)
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return Lxout,Lyout
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# h = profondeur locale
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# h = profondeur locale
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# fs = fréquence echantillonage
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# fs = fréquence echantillonage
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@ -47,52 +37,78 @@ def PUV_dam(u,p,h,fs,zmesP,zmesU):
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Ampu = np.abs(Yu[1 : N // 2]) / (N / 2.0)
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Ampu = np.abs(Yu[1 : N // 2]) / (N / 2.0)
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Ampp = np.abs(Yp[1 : N // 2]) / (N / 2.0)
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Ampp = np.abs(Yp[1 : N // 2]) / (N / 2.0)
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# pas de frequence deltaf
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# pas de frequence deltaf
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deltaf=1/(N/2)/delta*nyquist;
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deltaf = 1 / (N / 2) / delta * nyquist
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# phase
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# phase
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ThetaU=angle(Yu[1:N//2]);
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ThetaU = angle(Yu[1 : N // 2])
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ThetaP=angle(Yp[1:N//2]);
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ThetaP = angle(Yp[1 : N // 2])
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# calcul du coefficient de reflexion
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# calcul du coefficient de reflexion
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nbf=len(xf);
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nbf = len(xf)
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if max(p) > 0:
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if max(p) > 0:
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# si pas de données de pression, jsute Sheremet
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# si pas de données de pression, jsute Sheremet
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# attention : on commence par le deuxieme point, le premier correspondant a frequence nulle
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# attention : on commence par le deuxieme point, le premier correspondant a frequence nulle
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iicutoff_xb = max(min(np.where(xf > 0.5))) # length(Fu_xb)) ?
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iicutoff_xb = max(min(np.where(xf > 0.5))) # length(Fu_xb)) ?
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# calcul de l'amplitude en deca de la frequence de coupure
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# calcul de l'amplitude en deca de la frequence de coupure
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k_xb = []
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k_xb = []
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ii = 1
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omega = []
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ccc, ccs, cccp = [], [], []
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aincident13, areflechi13 = [], []
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aprog = []
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r13 = []
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ii = 0
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while ii < iicutoff_xb:
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while ii < iicutoff_xb:
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k_xb[ii] = newtonpplus(xf[ii],h,0);
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k_xb.append(newtonpplus(xf[ii], h, 0))
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a1=Ampu[ii];
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a1 = Ampu[ii]
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a3=Ampp[ii];
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a3 = Ampp[ii]
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phi1=ThetaU[ii];
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phi1 = ThetaU[ii]
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phi3=ThetaP[ii];
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phi3 = ThetaP[ii]
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omega[ii]=2*pi*xf[ii];
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omega.append(2 * np.pi * xf[ii])
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cc=omega[ii]*cosh(xf[ii]*(zmesU+h))/sinh(xf[ii]*h);
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cc = omega[ii] * np.cosh(xf[ii] * (zmesU + h)) / np.sinh(xf[ii] * h)
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ccp=omega[ii]*cosh(xf[ii]*(zmesP+h))/sinh(xf[ii]*h);
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ccp = omega[ii] * np.cosh(xf[ii] * (zmesP + h)) / np.sinh(xf[ii] * h)
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cs=omega[ii]*sinh(xf[ii]*(zmesU+h))/sinh(xf[ii]*h);
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cs = omega[ii] * np.sinh(xf[ii] * (zmesU + h)) / np.sinh(xf[ii] * h)
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# Procedure de calcul des ai et ar sans courant
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# Procedure de calcul des ai et ar sans courant
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ccc[ii]=cc;
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ccc.append(cc)
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ccs[ii]=cs;
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ccs.append(cs)
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cccp[ii]=ccp;
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cccp.append(ccp)
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# calcul des amplitudes des ondes incidentes a partir de uhoriz et p
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# calcul des amplitudes des ondes incidentes a partir de uhoriz et p
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aincident13[ii]=0.5*sqrt(a1*a1/(cc*cc)+a3*a3*g*g*xf[ii]*xf[ii]/(omega[ii]*omega[ii]*ccp*ccp)+2*a1*a3*g*k_xb[ii]*cos(phi3-phi1)/(cc*ccp*omega[ii]))
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aincident13.append(0.5 * np.sqrt(
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areflechi13[ii]=0.5*sqrt(a1*a1/(cc*cc)+a3*a3*g*g*k_xb[ii]*k_xb[ii]/(omega[ii]*omega[ii]*ccp*ccp)-2*a1*a3*g*xf[ii]*cos(phi3-phi1)/(cc*ccp*omega[ii]))
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a1 * a1 / (cc * cc)
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+ a3
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* a3
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* g
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* g
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* xf[ii]
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* xf[ii]
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/ (omega[ii] * omega[ii] * ccp * ccp)
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+ 2 * a1 * a3 * g * k_xb[ii] * np.cos(phi3 - phi1) / (cc * ccp * omega[ii])
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))
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areflechi13.append(0.5 * np.sqrt(
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a1 * a1 / (cc * cc)
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+ a3
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* a3
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* g
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* g
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* k_xb[ii]
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* k_xb[ii]
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/ (omega[ii] * omega[ii] * ccp * ccp)
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- 2 * a1 * a3 * g * xf[ii] * np.cos(phi3 - phi1) / (cc * ccp * omega[ii])
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))
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cv = g * xf[ii] / (omega[ii] * ccp)
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cv = g * xf[ii] / (omega[ii] * ccp)
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cp = 1 / cc
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cp = 1 / cc
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aprog[ii]= a3/(g*xf[ii]/(omega[ii]*ccp)); #hypothese progressive Drevard et al |u|/Cv
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aprog.append(a3 / (g * xf[ii] / (omega[ii] * ccp)))
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# hypothese progressive Drevard et al |u|/Cv
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# aprog(ii)= a1/cp;
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# aprog(ii)= a1/cp;
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# |p|/Cp
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# |p|/Cp
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if aincident13[ii] < 0.18 * ampliseuil:
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if aincident13[ii] < 0.18 * ampliseuil:
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r13[ii]=0
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r13.append(0)
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else:
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else:
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r13[ii]=areflechi13[ii]/aincident13[ii]
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r13.append(areflechi13[ii] / aincident13[ii])
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# calcul des energies incidente et reflechie sans ponderation avec les voisins
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# calcul des energies incidente et reflechie sans ponderation avec les voisins
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Eprog=0.5*aprog**2/deltaf;
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Eprog = 0.5 * aprog**2 / deltaf
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Eixb = 0.5 * aincident13**2 / deltaf
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Eixb = 0.5 * aincident13**2 / deltaf
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Erxb = 0.5 * areflechi13**2 / deltaf
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Erxb = 0.5 * areflechi13**2 / deltaf
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F = Fu_xb[1:iicutoff_xb]
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F = Fu_xb[1:iicutoff_xb]
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return Eixb, Erxb, Eprog, F
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return Eixb, Erxb, Eprog, F
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'test'
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"test"
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# Calcul du vecteur d'onde en prÈsence d'un courant
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# Calcul du vecteur d'onde en prÈsence d'un courant
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@ -106,13 +122,23 @@ def newtonpplus(f,h,u) :
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kh = 0.5
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kh = 0.5
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x = 0.001
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x = 0.001
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u = -u
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u = -u
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while (abs((kh - x)/x) > 0.00000001) :
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i = 0
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while abs((kh - x) / x) > 0.00001:
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i += 1
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if i > 10**5:
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sys.exit(1)
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x = kh
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x = kh
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fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u/h)*x)*(2*math.pi*f-(u/h)*x)
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fx = x * math.tanh(x) - (h / g) * (2 * math.pi * f - (u / h) * x) * (
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u/g)*(2*math.pi*f-(u/h)*x)
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2 * math.pi * f - (u / h) * x
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)
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fprimx = (
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math.tanh(x)
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+ x * (1 - (math.tanh(x)) ** 2)
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+ (2 * u / g) * (2 * math.pi * f - (u / h) * x)
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)
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kh = x - (fx / fprimx)
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kh = x - (fx / fprimx)
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k = kh / h
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k = kh / h
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return k
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return k
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# fin du calcul de k
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# fin du calcul de k
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@ -8,53 +8,67 @@ from matplotlib import animation
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import cmath
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import cmath
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from scipy.fft import fft
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from scipy.fft import fft
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def newtonpplus(f, h, u):
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def newtonpplus(f, h, u):
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# calcul de k:
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# calcul de k:
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g = 9.81
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g = 9.81
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kh = 0.5
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kh = 0.5
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x = 0.001
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x = 0.001
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u = -u
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u = -u
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while (abs((kh - x)/x) > 0.00000001) :
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while abs((kh - x) / x) > 0.00000001:
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x = kh
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x = kh
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fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u/h)*x)*(2*math.pi*f-(u/h)*x)
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fx = x * math.tanh(x) - (h / g) * (2 * math.pi * f - (u / h) * x) * (
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u/g)*(2*math.pi*f-(u/h)*x)
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2 * math.pi * f - (u / h) * x
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)
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fprimx = (
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math.tanh(x)
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+ x * (1 - (math.tanh(x)) ** 2)
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+ (2 * u / g) * (2 * math.pi * f - (u / h) * x)
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)
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kh = x - (fx / fprimx)
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kh = x - (fx / fprimx)
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k = kh / h
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k = kh / h
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return k
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return k
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def newtonpmoins(f, h, u0):
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def newtonpmoins(f, h, u0):
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# calcul de k:
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# calcul de k:
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g = 9.81;
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g = 9.81
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kh = 0.5;
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kh = 0.5
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x = 0.01;
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x = 0.01
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x = 6*h;
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x = 6 * h
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while (np.abs((kh - x)/x) > 0.00000001):
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while np.abs((kh - x) / x) > 0.00000001:
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x = kh;
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x = kh
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fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u0/h)*x)*(2*math.pi*f-(u0/h)*x);
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fx = x * math.tanh(x) - (h / g) * (2 * math.pi * f - (u0 / h) * x) * (
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u0/g)*(2*math.pi*f-(u0/h)*x);
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2 * math.pi * f - (u0 / h) * x
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kh = x - (fx/fprimx);
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)
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fprimx = (
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math.tanh(x)
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+ x * (1 - (math.tanh(x)) ** 2)
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+ (2 * u0 / g) * (2 * math.pi * f - (u0 / h) * x)
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)
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kh = x - (fx / fprimx)
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k = kh / h
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k = kh / h
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return k
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return k
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# Calcul du vecteur d'onde a partir de la frÈquence
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# Calcul du vecteur d'onde a partir de la frÈquence
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# kh : vecteur d'onde * profondeur d'eau
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# kh : vecteur d'onde * profondeur d'eau
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def newtonpropa(hi, f):
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def newtonpropa(hi, f):
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# calcul de k:
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# calcul de k:
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g=9.81;
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g = 9.81
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si = (2*math.pi*f)**2/g;
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si = (2 * math.pi * f) ** 2 / g
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kh = 0.5;
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kh = 0.5
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x = 0.001;
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x = 0.001
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while (np.abs((kh - x)/x) > 0.00000001) :
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while np.abs((kh - x) / x) > 0.00000001:
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x = kh;
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x = kh
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fx = x*math.tanh(x) - si*hi;
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fx = x * math.tanh(x) - si * hi
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2);
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fprimx = math.tanh(x) + x * (1 - (math.tanh(x)) ** 2)
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kh = x - (fx/fprimx);
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kh = x - (fx / fprimx)
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kpropa = kh/hi;
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kpropa = kh / hi
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return kpropa
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return kpropa
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def reflex3S(x1, x2, x3, xs1, xs2, xs3, h, mean_freq, fmin, fmax):
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def reflex3S(x1, x2, x3, xs1, xs2, xs3, h, mean_freq, fmin, fmax):
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# Analyse avec transformee de fourier d un signal en sinus
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# Analyse avec transformee de fourier d un signal en sinus
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# calcul du coefficient de reflexion en presence d un courant u
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# calcul du coefficient de reflexion en presence d un courant u
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@ -98,47 +112,46 @@ def reflex3S(x1,x2,x3,xs1,xs2,xs3,h,mean_freq,fmin,fmax) :
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# xs1=0;xs2=0.80;xs3=1.30;
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# xs1=0;xs2=0.80;xs3=1.30;
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# ENTREES DONNEES DES 3 SONDES AMONT et des 2 SONDES AVAL
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# ENTREES DONNEES DES 3 SONDES AMONT et des 2 SONDES AVAL
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ampliseuil=0.005;
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ampliseuil = 0.005
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#'check'
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#'check'
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# pause
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# pause
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# PAS DE TEMPS
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# PAS DE TEMPS
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deltat1=1/mean_freq;
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deltat1 = 1 / mean_freq
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deltat2=1/mean_freq;
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deltat2 = 1 / mean_freq
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deltat3=1/mean_freq;
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deltat3 = 1 / mean_freq
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# transformees de Fourier
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# transformees de Fourier
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Y1 = fft(x1,len(x1));
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Y1 = fft(x1, len(x1))
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N1 = len(Y1);
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N1 = len(Y1)
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Y2 = fft(x2,len(x2));
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Y2 = fft(x2, len(x2))
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N2 = len(Y2);
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N2 = len(Y2)
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Y3 = fft(x3,len(x3));
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Y3 = fft(x3, len(x3))
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N3 = len(Y3);
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N3 = len(Y3)
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# amplitudes normalisees, soit coef de fourier
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# amplitudes normalisees, soit coef de fourier
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amplitude1=np.abs(Y1[1:N1//2])/(N1//2);
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amplitude1 = np.abs(Y1[1 : N1 // 2]) / (N1 // 2)
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nyquist = 1/2;
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nyquist = 1 / 2
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freq1 = (np.arange(1, (N1//2)+1, 1)-1)/(N1//2)/deltat1*nyquist;
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freq1 = (np.arange(1, (N1 // 2) + 1, 1) - 1) / (N1 // 2) / deltat1 * nyquist
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amplitude2=np.abs(Y2[1:N2//2])/(N2//2);
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amplitude2 = np.abs(Y2[1 : N2 // 2]) / (N2 // 2)
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nyquist = 1/2;
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nyquist = 1 / 2
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freq2 = (np.arange(1, (N2//2)+1, 1)-1)/(N2//2)/deltat2*nyquist;
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freq2 = (np.arange(1, (N2 // 2) + 1, 1) - 1) / (N2 // 2) / deltat2 * nyquist
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amplitude3=np.abs(Y3[1:N3//2])/(N3//2);
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amplitude3 = np.abs(Y3[1 : N3 // 2]) / (N3 // 2)
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nyquist = 1/2;
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nyquist = 1 / 2
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freq3 = (np.arange(1, (N3//2)+1, 1)-1)/(N3//2)/deltat3*nyquist;
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freq3 = (np.arange(1, (N3 // 2) + 1, 1) - 1) / (N3 // 2) / deltat3 * nyquist
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# recherche de la phase
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# recherche de la phase
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theta1=np.angle(Y1[1:N1//2]);
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theta1 = np.angle(Y1[1 : N1 // 2])
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theta2=np.angle(Y2[1:N2//2]);
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theta2 = np.angle(Y2[1 : N2 // 2])
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theta3=np.angle(Y3[1:N3//2]);
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theta3 = np.angle(Y3[1 : N3 // 2])
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# pas de frequence deltaf
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# pas de frequence deltaf
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deltaf=1/(N1//2)/deltat1*nyquist;
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deltaf = 1 / (N1 // 2) / deltat1 * nyquist
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nbrefreq=len(freq1);
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nbrefreq = len(freq1)
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# Caracteristiques fondamentaux,sondes canaux 1 et 3
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# Caracteristiques fondamentaux,sondes canaux 1 et 3
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# distances entre les sondes
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# distances entre les sondes
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x12=xs2-xs1;
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x12 = xs2 - xs1
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x13=xs3-xs1;
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x13 = xs3 - xs1
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x23=xs3-xs2;
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x23 = xs3 - xs2
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# Debut calcul des coefficients de reflexion
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# Debut calcul des coefficients de reflexion
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indmin=np.min(np.where(freq1>0.02));
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indmin = np.min(np.where(freq1 > 0.02))
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indfmin=np.min(np.where(freq1>fmin));
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indfmin = np.min(np.where(freq1 > fmin))
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indfmax=np.max(np.where(freq1<fmax));
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indfmax = np.max(np.where(freq1 < fmax))
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||||||
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||||||
|
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||||||
T = []
|
T = []
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||||||
fre = []
|
fre = []
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||||||
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@ -183,16 +196,34 @@ def reflex3S(x1,x2,x3,xs1,xs2,xs3,h,mean_freq,fmin,fmax) :
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||||||
delta13m = -kmoins * x13
|
delta13m = -kmoins * x13
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||||||
delta23m = -kmoins * x23
|
delta23m = -kmoins * x23
|
||||||
# calcul du coefficient de reflexion a partir des sondes 1 et 2
|
# calcul du coefficient de reflexion a partir des sondes 1 et 2
|
||||||
aincident12.append(math.sqrt(a1*a1+a2*a2-2*a1*a2*math.cos(phi12+delta12p))/(2*np.abs(math.sin((delta12p+delta12m)/2))))
|
aincident12.append(
|
||||||
areflechi12.append(math.sqrt(a1*a1+a2*a2-2*a1*a2*math.cos(phi12-delta12m))/(2*np.abs(math.sin((delta12p+delta12m)/2))))
|
math.sqrt(a1 * a1 + a2 * a2 - 2 * a1 * a2 * math.cos(phi12 + delta12p))
|
||||||
|
/ (2 * np.abs(math.sin((delta12p + delta12m) / 2)))
|
||||||
|
)
|
||||||
|
areflechi12.append(
|
||||||
|
math.sqrt(a1 * a1 + a2 * a2 - 2 * a1 * a2 * math.cos(phi12 - delta12m))
|
||||||
|
/ (2 * np.abs(math.sin((delta12p + delta12m) / 2)))
|
||||||
|
)
|
||||||
# r12(jj)=areflechi12(jj)/aincident12(jj);
|
# r12(jj)=areflechi12(jj)/aincident12(jj);
|
||||||
# calcul du coefficient de reflexion a partir des sondes 2 et 3
|
# calcul du coefficient de reflexion a partir des sondes 2 et 3
|
||||||
aincident23.append(math.sqrt(a2*a2+a3*a3-2*a2*a3*math.cos(phi23+delta23p))/(2*np.abs(math.sin((delta23p+delta23m)/2))))
|
aincident23.append(
|
||||||
areflechi23.append(math.sqrt(a2*a2+a3*a3-2*a2*a3*math.cos(phi23-delta23m))/(2*np.abs(math.sin((delta23p+delta23m)/2))))
|
math.sqrt(a2 * a2 + a3 * a3 - 2 * a2 * a3 * math.cos(phi23 + delta23p))
|
||||||
|
/ (2 * np.abs(math.sin((delta23p + delta23m) / 2)))
|
||||||
|
)
|
||||||
|
areflechi23.append(
|
||||||
|
math.sqrt(a2 * a2 + a3 * a3 - 2 * a2 * a3 * math.cos(phi23 - delta23m))
|
||||||
|
/ (2 * np.abs(math.sin((delta23p + delta23m) / 2)))
|
||||||
|
)
|
||||||
# r23(jj)=areflechi23(jj)/aincident23(jj);
|
# r23(jj)=areflechi23(jj)/aincident23(jj);
|
||||||
# calcul du coefficient de reflexion a partir des sondes 1 et 3
|
# calcul du coefficient de reflexion a partir des sondes 1 et 3
|
||||||
aincident13.append(math.sqrt(a1*a1+a3*a3-2*a1*a3*math.cos(phi13+delta13p))/(2*np.abs(math.sin((delta13p+delta13m)/2))))
|
aincident13.append(
|
||||||
areflechi13.append(math.sqrt(a1*a1+a3*a3-2*a1*a3*math.cos(phi13-delta13m))/(2*np.abs(math.sin((delta13p+delta13m)/2))))
|
math.sqrt(a1 * a1 + a3 * a3 - 2 * a1 * a3 * math.cos(phi13 + delta13p))
|
||||||
|
/ (2 * np.abs(math.sin((delta13p + delta13m) / 2)))
|
||||||
|
)
|
||||||
|
areflechi13.append(
|
||||||
|
math.sqrt(a1 * a1 + a3 * a3 - 2 * a1 * a3 * math.cos(phi13 - delta13m))
|
||||||
|
/ (2 * np.abs(math.sin((delta13p + delta13m) / 2)))
|
||||||
|
)
|
||||||
# r13.append(areflechi13[jj]/aincident13[jj])
|
# r13.append(areflechi13[jj]/aincident13[jj])
|
||||||
# calcul du coefficient de reflexion par methode des 3 sondesavec moindres carres
|
# calcul du coefficient de reflexion par methode des 3 sondesavec moindres carres
|
||||||
delta1m = 0
|
delta1m = 0
|
||||||
|
@ -201,12 +232,33 @@ def reflex3S(x1,x2,x3,xs1,xs2,xs3,h,mean_freq,fmin,fmax) :
|
||||||
delta1p = 0
|
delta1p = 0
|
||||||
delta2p = delta12p
|
delta2p = delta12p
|
||||||
delta3p = delta13p
|
delta3p = delta13p
|
||||||
s1=cmath.exp(-1j*2*delta1m)+cmath.exp(-1j*2*delta2m)+cmath.exp(-1j*2*delta3m)
|
s1 = (
|
||||||
s2=cmath.exp(+1j*2*delta1p)+cmath.exp(+1j*2*delta2p)+cmath.exp(+1j*2*delta3p)
|
cmath.exp(-1j * 2 * delta1m)
|
||||||
s12=cmath.exp(1j*(delta1p-delta1m))+cmath.exp(1j*(delta2p-delta2m))+cmath.exp(1j*(delta3p-delta3m))
|
+ cmath.exp(-1j * 2 * delta2m)
|
||||||
s3=a1*cmath.exp(-1j*(phi1+delta1m))+a2*cmath.exp(-1j*(phi2+delta2m))+a3*cmath.exp(-1j*(phi3+delta3m))
|
+ cmath.exp(-1j * 2 * delta3m)
|
||||||
s4=a1*cmath.exp(-1j*(phi1-delta1p))+a2*cmath.exp(-1j*(phi2-delta2p))+a3*cmath.exp(-1j*(phi3-delta3p))
|
)
|
||||||
|
s2 = (
|
||||||
|
cmath.exp(+1j * 2 * delta1p)
|
||||||
|
+ cmath.exp(+1j * 2 * delta2p)
|
||||||
|
+ cmath.exp(+1j * 2 * delta3p)
|
||||||
|
)
|
||||||
|
s12 = (
|
||||||
|
cmath.exp(1j * (delta1p - delta1m))
|
||||||
|
+ cmath.exp(1j * (delta2p - delta2m))
|
||||||
|
+ cmath.exp(1j * (delta3p - delta3m))
|
||||||
|
)
|
||||||
|
s3 = (
|
||||||
|
a1 * cmath.exp(-1j * (phi1 + delta1m))
|
||||||
|
+ a2 * cmath.exp(-1j * (phi2 + delta2m))
|
||||||
|
+ a3 * cmath.exp(-1j * (phi3 + delta3m))
|
||||||
|
)
|
||||||
|
s4 = (
|
||||||
|
a1 * cmath.exp(-1j * (phi1 - delta1p))
|
||||||
|
+ a2 * cmath.exp(-1j * (phi2 - delta2p))
|
||||||
|
+ a3 * cmath.exp(-1j * (phi3 - delta3p))
|
||||||
|
)
|
||||||
s5 = s1 * s2 - s12 * s12
|
s5 = s1 * s2 - s12 * s12
|
||||||
|
|
||||||
ai.append(abs((s2 * s3 - s12 * s4) / s5))
|
ai.append(abs((s2 * s3 - s12 * s4) / s5))
|
||||||
ar.append(abs((s1 * s4 - s12 * s3) / s5))
|
ar.append(abs((s1 * s4 - s12 * s3) / s5))
|
||||||
# refl[jj]=ar[jj]/ai[jj];
|
# refl[jj]=ar[jj]/ai[jj];
|
||||||
|
@ -216,5 +268,4 @@ def reflex3S(x1,x2,x3,xs1,xs2,xs3,h,mean_freq,fmin,fmax) :
|
||||||
Ereflechi123.append(0.5 * ar[count] * ar[count] / deltaf)
|
Ereflechi123.append(0.5 * ar[count] * ar[count] / deltaf)
|
||||||
count += 1
|
count += 1
|
||||||
|
|
||||||
|
|
||||||
return ai, ar, Eincident123, Ereflechi123, indfmin, indfmax, fre
|
return ai, ar, Eincident123, Ereflechi123, indfmin, indfmax, fre
|
||||||
|
|
Loading…
Reference in a new issue