def get_free_phase_total_eq(MADTwiss,Files,Qd,Q,psid_ac2bpmac,plane,bd,op):
#-- Select common BPMs
bpm=Utilities.bpm.model_intersect(Utilities.bpm.intersect(Files),MADTwiss)
bpm=[(b[0],str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
if op=="1" and bd== 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
if op=="1" and bd==-1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
#-- Determine the BPM closest to the AC dipole and its position
for b in psid_ac2bpmac.keys():
if '5L4' in b: bpmac1=b
if '6L4' in b: bpmac2=b
try:
k_bpmac=list(zip(*bpm)[1]).index(bpmac1)
bpmac=bpmac1
except:
try:
k_bpmac=list(zip(*bpm)[1]).index(bpmac2)
bpmac=bpmac2
except:
return [{},[]]
#-- Model phase advances
if plane=='H': psimdl=np.array([(MADTwiss.MUX[MADTwiss.indx[b[1]]]-MADTwiss.MUX[MADTwiss.indx[bpm[0][1]]])%1 for b in bpm])
if plane=='V': psimdl=np.array([(MADTwiss.MUY[MADTwiss.indx[b[1]]]-MADTwiss.MUY[MADTwiss.indx[bpm[0][1]]])%1 for b in bpm])
#-- Global parameters of the driven motion
r=sin(np.pi*(Qd-Q))/sin(np.pi*(Qd+Q))
#-- Loop for files, psid, Psi, Psid are w.r.t the AC dipole
psiall=np.zeros((len(bpm),len(Files)))
for i in range(len(Files)):
if plane=='H': psid=bd*2*np.pi*np.array([Files[i].MUX[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
if plane=='V': psid=bd*2*np.pi*np.array([Files[i].MUY[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
for k in range(len(bpm)):
try:
if bpm[k][0]>s_lastbpm: psid[k]+=2*np.pi*Qd #-- To fix the phase shift by Q
except: pass
psid=psid-(psid[k_bpmac]-psid_ac2bpmac[bpmac])
Psid=psid+np.pi*Qd
Psid[k_bpmac:]=Psid[k_bpmac:]-2*np.pi*Qd
Psi=np.arctan((1-r)/(1+r)*np.tan(Psid))%np.pi
for k in range(len(bpm)):
if Psid[k]%(2*np.pi)>np.pi: Psi[k]=Psi[k]+np.pi
psi=Psi-Psi[0]
psi[k_bpmac:]=psi[k_bpmac:]+2*np.pi*Q
for k in range(len(bpm)): psiall[k][i]=psi[k]/(2*np.pi) #-- phase range back to [0,1)
#-- Output
result={}
for k in range(len(bpm)):
psiave = phase.calc_phase_mean(psiall[k],1)
psistd = phase.calc_phase_std(psiall[k],1)
result[bpm[k][1]]=[psiave,psistd,psimdl[k],bpm[0][1]]
return [result,bpm]
def GetCoupling2(MADTwiss, list_zero_dpp_x, list_zero_dpp_y, tune_x, tune_y, phasex, phasey, beam_direction, accel, outputpath):
# check linx/liny files, if it's OK it is confirmed that ListofZeroDPPX[i] and ListofZeroDPPY[i]
# come from the same (simultaneous) measurement. It might be redundant check.
if len(list_zero_dpp_x)!=len(list_zero_dpp_y):
print >> sys.stderr, 'Leaving GetCoupling as linx and liny files seem not correctly paired...'
dum0={"Global":[0.0,0.0]}
dum1=[]
return [dum0,dum1]
XplusY=list_zero_dpp_x+list_zero_dpp_y
dbpms=Utilities.bpm.intersect(XplusY)
dbpms=Utilities.bpm.model_intersect(dbpms, MADTwiss)
# caculate fw and qw, exclude bpms having wrong phases
fwqw={}
dbpmt=[]
countBadPhase=0
for i in range(0,len(dbpms)-1):
bn1=str.upper(dbpms[i][1])
bn2=str.upper(dbpms[i+1][1])
delx= phasex[bn1][0] - 0.25 # Missprint in the coupling note
dely= phasey[bn1][0] - 0.25
f1001ij=[]
f1010ij=[]
q1js=[]
q2js=[]
q1jd=[]
q2jd=[]
badbpm=0
for j in range(0,len(list_zero_dpp_x)):
tw_x = list_zero_dpp_x[j]
tw_y = list_zero_dpp_y[j]
[SA0p1ij,phi0p1ij] = helper.ComplexSecondaryLine(delx, tw_x.AMP01[tw_x.indx[bn1]], tw_x.AMP01[tw_x.indx[bn2]],
tw_x.PHASE01[tw_x.indx[bn1]], tw_x.PHASE01[tw_x.indx[bn2]])
[SA0m1ij,phi0m1ij] = helper.ComplexSecondaryLine(delx, tw_x.AMP01[tw_x.indx[bn1]], tw_x.AMP01[tw_x.indx[bn2]],
-tw_x.PHASE01[tw_x.indx[bn1]], -tw_x.PHASE01[tw_x.indx[bn2]])
[TBp10ij,phip10ij] = helper.ComplexSecondaryLine(dely, tw_y.AMP10[tw_y.indx[bn1]], tw_y.AMP10[tw_y.indx[bn2]],
tw_y.PHASE10[tw_y.indx[bn1]], tw_y.PHASE10[tw_y.indx[bn2]])
[TBm10ij,phim10ij] = helper.ComplexSecondaryLine(dely, tw_y.AMP10[tw_y.indx[bn1]], tw_y.AMP10[tw_y.indx[bn2]],
-tw_y.PHASE10[tw_y.indx[bn1]], -tw_y.PHASE10[tw_y.indx[bn2]])
#print SA0p1ij,phi0p1ij,SA0m1ij,phi0m1ij,TBp10ij,phip10ij,TBm10ij,phim10ij
f1001ij.append(0.5*math.sqrt(TBp10ij*SA0p1ij/2.0/2.0))
f1010ij.append(0.5*math.sqrt(TBm10ij*SA0m1ij/2.0/2.0))
if beam_direction == 1:
q1jd.append((phi0p1ij-tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2jd.append((-phip10ij+tw_x.MUX[tw_x.indx[bn1]]-0.25)%1.0)
elif beam_direction == -1:
q1jd.append((phi0p1ij-tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2jd.append(-(-phip10ij+tw_x.MUX[tw_x.indx[bn1]]-0.25)%1.0)
#print q1,q2
q1jd[j]=(0.5-q1jd[j])%1.0 # This sign change in the real part is to comply with MAD output
q2jd[j]=(0.5-q2jd[j])%1.0
if beam_direction==1:
q1js.append((phi0m1ij+tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2js.append((phim10ij+tw_x.MUX[tw_x.indx[bn1]]+0.25)%1.0)
if beam_direction==-1:
q1js.append((phi0m1ij+tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2js.append(-(phim10ij+tw_x.MUX[tw_x.indx[bn1]]+0.25)%1.0)
#print q1,q2
q1js[j]=(0.5-q1js[j])%1.0 # This sign change in the real part is to comply with MAD output
q2js[j]=(0.5-q2js[j])%1.0
q1jd = np.array(q1jd)
q2jd = np.array(q2jd)
q1d = phase.calc_phase_mean(q1jd,1.0)
q2d = phase.calc_phase_mean(q2jd,1.0)
q1js = np.array(q1js)
q2js = np.array(q2js)
q1s = phase.calc_phase_mean(q1js,1.0)
q2s = phase.calc_phase_mean(q2js,1.0)
if min(abs(q1d-q2d),1.0-abs(q1d-q2d))>0.25 or min(abs(q1s-q2s),1.0-abs(q1s-q2s))>0.25:
badbpm=1
countBadPhase += 1
if (accel == "SPS" or accel == "RHIC"):
# No check for the SPS or RHIC
badbpm=0
q1010i=q1d
q1010i=q1s
countBadPhase += 1
if badbpm==0:
f1001ij=np.array(f1001ij)
f1001i=np.average(f1001ij)
f1001istd=math.sqrt(np.average(f1001ij*f1001ij)-(np.average(f1001ij))**2.0+2.2e-16)
f1010ij=np.array(f1010ij)
f1010i=np.average(f1010ij)
f1010istd=math.sqrt(np.average(f1010ij*f1010ij)-(np.average(f1010ij))**2.0+2.2e-16)
q1001i = phase.calc_phase_mean(np.array([q1d,q2d]),1.0)
q1010i = phase.calc_phase_mean(np.array([q1s,q2s]),1.0)
q1001istd = phase.calc_phase_std(np.append(q1jd,q2jd),1.0)
q1010istd = phase.calc_phase_std(np.append(q1js,q2js),1.0)
f1001i=f1001i*complex(cos(2.0*np.pi*q1001i),sin(2.0*np.pi*q1001i))
f1010i=f1010i*complex(cos(2.0*np.pi*q1010i),sin(2.0*np.pi*q1010i))
dbpmt.append([dbpms[i][0],dbpms[i][1]])
if beam_direction==1:
fwqw[bn1]=[[f1001i,f1001istd,f1010i,f1010istd],[q1001i,q1001istd,q1010i,q1010istd]]
elif beam_direction==-1:
fwqw[bn1]=[[f1010i,f1010istd,f1001i,f1001istd],[q1010i,q1010istd,q1001i,q1001istd]]
dbpms=dbpmt
# compute global values
CG=0.0
QG=0.0
for i in range(0,len(dbpms)-1):
tw_x=list_zero_dpp_x[0]
tw_y=list_zero_dpp_y[0]
bn1=str.upper(dbpms[i][1])
CG=CG+math.sqrt(fwqw[bn1][0][0].real**2+fwqw[bn1][0][0].imag**2)
QG=QG+fwqw[bn1][1][0]-(tw_x.MUX[tw_x.indx[bn1]]-tw_y.MUY[tw_y.indx[bn1]])
# find operation point
sign_QxmQy = _find_sign_QxmQy(outputpath, tune_x, tune_y)
if len(dbpms)==0:
print >> sys.stderr, 'Warning: There is no BPM to output linear coupling properly... leaving Getcoupling.'
fwqw['Global']=[CG,QG] #Quick fix Evian 2012
return [fwqw,dbpms]
else:
CG=abs(4.0*(tune_x-tune_y)*CG/len(dbpms))
QG=(QG/len(dbpms)+0.5*(1.0-sign_QxmQy*0.5))%1.0
fwqw['Global']=[CG,QG]
return [fwqw,dbpms]
def GetFreeCoupling_Eq(MADTwiss,FilesX,FilesY,Qh,Qv,Qx,Qy,psih_ac2bpmac,psiv_ac2bpmac,bd,acdipole,oa):
#-- Details of this algorithms is in http://www.agsrhichome.bnl.gov/AP/ap_notes/ap_note_410.pdf
#-- Check linx/liny files, may be redundant
if len(FilesX)!=len(FilesY): return [{},[]]
#-- Select common BPMs
bpm=utils.bpm.model_intersect(utils.bpm.intersect(FilesX + FilesY), MADTwiss)
bpm=[(b[0],str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
#if op=="1" and bd== 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
#if op=="1" and bd==-1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
#-- Determine the BPM closest to the AC dipole and its position
#BPMYB.6L4.B1 BPMYA.5L4.B1
# BPMWA.B5L4.B1
horBPMsCopensation =[]
verBPMsCopensation = []
#bpmac1_h=psih_ac2bpmac.keys()[0]
#bpmac2_h=psih_ac2bpmac.keys()[1]
#bpmac1_v = psiv_ac2bpmac.keys()[0]
#bpmac2_v = psiv_ac2bpmac.keys()[1]
for key in psih_ac2bpmac:
if(key in list(zip(*bpm)[1])):
horBPMsCopensation.append(key)
verBPMsCopensation.append(key)
fqwList = []
for g in range(0, len(horBPMsCopensation)):
k_bpmac_h =list(zip(*bpm)[1]).index(horBPMsCopensation[g])
bpmac_h=horBPMsCopensation[g]
k_bpmac_v=list(zip(*bpm)[1]).index(verBPMsCopensation[g])
bpmac_v=verBPMsCopensation[g]
'''
try:
k_bpmac_h=list(zip(*bpm)[1]).index(bpmac1_h)
bpmac_h=bpmac1_h
except:
try:
k_bpmac_h=list(zip(*bpm)[1]).index(bpmac2_h)
bpmac_h=bpmac2_h
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles or ADT missing. AC or ADT dipole effects not calculated with analytic eqs for coupling'
return [{},[]]
# if 'B5R4' in b: bpmac1=b
#if 'A5R4' in b: bpmac2=b
try:
k_bpmac_v=list(zip(*bpm)[1]).index(bpmac1_v)
bpmac_v=bpmac1_v
except:
try:
k_bpmac_v=list(zip(*bpm)[1]).index(bpmac2_v)
bpmac_v=bpmac2_v
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles or ADT missing. AC dipole or ADT effects not calculated with analytic eqs for coupling'
return [{},[]]
print k_bpmac_v, bpmac_v
print k_bpmac_h, bpmac_h
'''
#-- Global parameters of the driven motion
dh =Qh-Qx
dv =Qv-Qy
rh =sin(np.pi*(Qh-Qx))/sin(np.pi*(Qh+Qx))
rv =sin(np.pi*(Qv-Qy))/sin(np.pi*(Qv+Qy))
rch=sin(np.pi*(Qh-Qy))/sin(np.pi*(Qh+Qy))
rcv=sin(np.pi*(Qx-Qv))/sin(np.pi*(Qx+Qv))
#-- Loop for files
f1001Abs =np.zeros((len(bpm),len(FilesX)))
f1010Abs =np.zeros((len(bpm),len(FilesX)))
f1001xArg=np.zeros((len(bpm),len(FilesX)))
f1001yArg=np.zeros((len(bpm),len(FilesX)))
f1010xArg=np.zeros((len(bpm),len(FilesX)))
f1010yArg=np.zeros((len(bpm),len(FilesX)))
for i in range(len(FilesX)):
#-- Read amplitudes and phases
amph = np.array([FilesX[i].AMPX[FilesX[i].indx[b[1]]] for b in bpm])
ampv = np.array([FilesY[i].AMPY[FilesY[i].indx[b[1]]] for b in bpm])
amph01= np.array([FilesX[i].AMP01[FilesX[i].indx[b[1]]] for b in bpm])
ampv10= np.array([FilesY[i].AMP10[FilesY[i].indx[b[1]]] for b in bpm])
psih =2*np.pi*np.array([FilesX[i].MUX[FilesX[i].indx[b[1]]] for b in bpm])
psiv =2*np.pi*np.array([FilesY[i].MUY[FilesY[i].indx[b[1]]] for b in bpm])
psih01=2*np.pi*np.array([FilesX[i].PHASE01[FilesX[i].indx[b[1]]] for b in bpm])
psiv10=2*np.pi*np.array([FilesY[i].PHASE10[FilesY[i].indx[b[1]]] for b in bpm])
#-- I'm not sure this is correct for the coupling so I comment out this part for now (by RM 9/30/11).
#for k in range(len(bpm)):
# try:
# if bpm[k][0]>s_lastbpm:
# psih[k] +=bd*2*np.pi*Qh #-- To fix the phase shift by Qh
# psiv[k] +=bd*2*np.pi*Qv #-- To fix the phase shift by Qv
# psih01[k]+=bd*2*np.pi*Qv #-- To fix the phase shift by Qv
# psiv10[k]+=bd*2*np.pi*Qh #-- To fix the phase shift by Qh
# except: pass
#-- Construct Fourier components
# * be careful for that the note is based on x+i(alf*x*bet*x')).
# * Calculating Eqs (87)-(92) by using Eqs (47) & (48) (but in the Fourier space) in the note.
# * Note that amph(v)01 is normalized by amph(v) and it is un-normalized in the following.
dpsih =np.append(psih[1:] ,2*np.pi*Qh+psih[0] )-psih
dpsiv =np.append(psiv[1:] ,2*np.pi*Qv+psiv[0] )-psiv
dpsih01=np.append(psih01[1:],2*np.pi*Qv+psih01[0])-psih01
dpsiv10=np.append(psiv10[1:],2*np.pi*Qh+psiv10[0])-psiv10
X_m10=2*amph*np.exp(-1j*psih)
Y_0m1=2*ampv*np.exp(-1j*psiv)
X_0m1=amph*np.exp(-1j*psih01)/(1j*sin(dpsih))*(amph01*np.exp(1j*dpsih)-np.append(amph01[1:],amph01[0])*np.exp(-1j*dpsih01))
X_0p1=amph*np.exp( 1j*psih01)/(1j*sin(dpsih))*(amph01*np.exp(1j*dpsih)-np.append(amph01[1:],amph01[0])*np.exp( 1j*dpsih01))
Y_m10=ampv*np.exp(-1j*psiv10)/(1j*sin(dpsiv))*(ampv10*np.exp(1j*dpsiv)-np.append(ampv10[1:],ampv10[0])*np.exp(-1j*dpsiv10))
Y_p10=ampv*np.exp( 1j*psiv10)/(1j*sin(dpsiv))*(ampv10*np.exp(1j*dpsiv)-np.append(ampv10[1:],ampv10[0])*np.exp( 1j*dpsiv10))
#-- Construct f1001hv, f1001vh, f1010hv (these include math.sqrt(betv/beth) or math.sqrt(beth/betv))
f1001hv=-np.conjugate(1/(2j)*Y_m10/X_m10) #-- - sign from the different def
f1001vh=-1/(2j)*X_0m1/Y_0m1 #-- - sign from the different def
f1010hv=-1/(2j)*Y_p10/np.conjugate(X_m10) #-- - sign from the different def
f1010vh=-1/(2j)*X_0p1/np.conjugate(Y_0m1) #-- - sign from the different def
## f1001hv=conjugate(1/(2j)*Y_m10/X_m10)
## f1001vh=1/(2j)*X_0m1/Y_0m1
## f1010hv=1/(2j)*Y_p10/conjugate(X_m10)
## f1010vh=1/(2j)*X_0p1/conjugate(Y_0m1)
#-- Construct phases psih, psiv, Psih, Psiv w.r.t. the AC dipole
psih=psih-(psih[k_bpmac_h]-psih_ac2bpmac[bpmac_h])
psiv=psiv-(psiv[k_bpmac_v]-psiv_ac2bpmac[bpmac_v])
print('the phase to the device', k_bpmac_h, psih[k_bpmac_h], bpmac_h, (psih[k_bpmac_h]-psih_ac2bpmac[bpmac_h]))
Psih=psih-np.pi*Qh
Psih[:k_bpmac_h]=Psih[:k_bpmac_h]+2*np.pi*Qh
Psiv=psiv-np.pi*Qv
Psiv[:k_bpmac_v]=Psiv[:k_bpmac_v]+2*np.pi*Qv
Psix=np.arctan((1-rh)/(1+rh)*np.tan(Psih))%np.pi
Psiy=np.arctan((1-rv)/(1+rv)*np.tan(Psiv))%np.pi
for k in range(len(bpm)):
if Psih[k]%(2*np.pi)>np.pi: Psix[k]=Psix[k]+np.pi
if Psiv[k]%(2*np.pi)>np.pi: Psiy[k]=Psiy[k]+np.pi
psix=Psix-np.pi*Qx
psix[k_bpmac_h:]=psix[k_bpmac_h:]+2*np.pi*Qx
psiy=Psiy-np.pi*Qy
psiy[k_bpmac_v:]=psiy[k_bpmac_v:]+2*np.pi*Qy
#-- Construct f1001h, f1001v, f1010h, f1010v (these include math.sqrt(betv/beth) or math.sqrt(beth/betv))
f1001h=1/math.sqrt(1-rv**2)*(np.exp(-1j*(Psiv-Psiy))*f1001hv+rv*np.exp( 1j*(Psiv+Psiy))*f1010hv)
f1010h=1/math.sqrt(1-rv**2)*(np.exp( 1j*(Psiv-Psiy))*f1010hv+rv*np.exp(-1j*(Psiv+Psiy))*f1001hv)
f1001v=1/math.sqrt(1-rh**2)*(np.exp( 1j*(Psih-Psix))*f1001vh+rh*np.exp(-1j*(Psih+Psix))*np.conjugate(f1010vh))
f1010v=1/math.sqrt(1-rh**2)*(np.exp( 1j*(Psih-Psix))*f1010vh+rh*np.exp(-1j*(Psih+Psix))*np.conjugate(f1001vh))
#-- Construct f1001 and f1010 from h and v BPMs (these include math.sqrt(betv/beth) or math.sqrt(beth/betv))
g1001h =np.exp(-1j*((psih-psih[k_bpmac_h])-(psiy-psiy[k_bpmac_v])))*(ampv/amph*amph[k_bpmac_h]/ampv[k_bpmac_v])*f1001h[k_bpmac_h]
g1001h[:k_bpmac_h]=1/(np.exp(2*np.pi*1j*(Qh-Qy))-1)*(f1001h-g1001h)[:k_bpmac_h]
g1001h[k_bpmac_h:]=1/(1-np.exp(-2*np.pi*1j*(Qh-Qy)))*(f1001h-g1001h)[k_bpmac_h:]
g1010h =np.exp(-1j*((psih-psih[k_bpmac_h])+(psiy-psiy[k_bpmac_v])))*(ampv/amph*amph[k_bpmac_h]/ampv[k_bpmac_v])*f1010h[k_bpmac_h]
g1010h[:k_bpmac_h]=1/(np.exp(2*np.pi*1j*(Qh+Qy))-1)*(f1010h-g1010h)[:k_bpmac_h]
g1010h[k_bpmac_h:]=1/(1-np.exp(-2*np.pi*1j*(Qh+Qy)))*(f1010h-g1010h)[k_bpmac_h:]
g1001v =np.exp(-1j*((psix-psix[k_bpmac_h])-(psiv-psiv[k_bpmac_v])))*(amph/ampv*ampv[k_bpmac_v]/amph[k_bpmac_h])*f1001v[k_bpmac_v]
g1001v[:k_bpmac_v]=1/(np.exp(2*np.pi*1j*(Qx-Qv))-1)*(f1001v-g1001v)[:k_bpmac_v]
g1001v[k_bpmac_v:]=1/(1-np.exp(-2*np.pi*1j*(Qx-Qv)))*(f1001v-g1001v)[k_bpmac_v:]
g1010v =np.exp(-1j*((psix-psix[k_bpmac_h])+(psiv-psiv[k_bpmac_v])))*(amph/ampv*ampv[k_bpmac_v]/amph[k_bpmac_h])*f1010v[k_bpmac_v]
g1010v[:k_bpmac_v]=1/(np.exp(2*np.pi*1j*(Qx+Qv))-1)*(f1010v-g1010v)[:k_bpmac_v]
g1010v[k_bpmac_v:]=1/(1-np.exp(-2*np.pi*1j*(Qx+Qv)))*(f1010v-g1010v)[k_bpmac_v:]
f1001x=np.exp(1j*(psih-psix))*f1001h
f1001x=f1001x-rh*np.exp(-1j*(psih+psix))/rch*np.conjugate(f1010h)
f1001x=f1001x-2j*sin(np.pi*dh)*np.exp(1j*(Psih-Psix))*g1001h
f1001x=f1001x-2j*sin(np.pi*dh)*np.exp(-1j*(Psih+Psix))/rch*np.conjugate(g1010h)
f1001x=1/math.sqrt(1-rh**2)*sin(np.pi*(Qh-Qy))/sin(np.pi*(Qx-Qy))*f1001x
f1010x=np.exp(1j*(psih-psix))*f1010h
f1010x=f1010x-rh*np.exp(-1j*(psih+psix))*rch*np.conjugate(f1001h)
f1010x=f1010x-2j*sin(np.pi*dh)*np.exp(1j*(Psih-Psix))*g1010h
f1010x=f1010x-2j*sin(np.pi*dh)*np.exp(-1j*(Psih+Psix))*rch*np.conjugate(g1001h)
f1010x=1/math.sqrt(1-rh**2)*sin(np.pi*(Qh+Qy))/sin(np.pi*(Qx+Qy))*f1010x
f1001y=np.exp(-1j*(psiv-psiy))*f1001v
f1001y=f1001y+rv*np.exp(1j*(psiv+psiy))/rcv*f1010v
f1001y=f1001y+2j*sin(np.pi*dv)*np.exp(-1j*(Psiv-Psiy))*g1001v
f1001y=f1001y-2j*sin(np.pi*dv)*np.exp(1j*(Psiv+Psiy))/rcv*g1010v
f1001y=1/math.sqrt(1-rv**2)*sin(np.pi*(Qx-Qv))/sin(np.pi*(Qx-Qy))*f1001y
f1010y=np.exp(1j*(psiv-psiy))*f1010v
f1010y=f1010y+rv*np.exp(-1j*(psiv+psiy))*rcv*f1001v
f1010y=f1010y-2j*sin(np.pi*dv)*np.exp(1j*(Psiv-Psiy))*g1010v
f1010y=f1010y+2j*sin(np.pi*dv)*np.exp(-1j*(Psiv+Psiy))*rcv*g1001v
f1010y=1/math.sqrt(1-rv**2)*sin(np.pi*(Qx+Qv))/sin(np.pi*(Qx+Qy))*f1010y
#-- For B2, must be double checked
if bd == -1:
f1001x=-np.conjugate(f1001x)
f1001y=-np.conjugate(f1001y)
f1010x=-np.conjugate(f1010x)
f1010y=-np.conjugate(f1010y)
#-- Separate to amplitudes and phases, amplitudes averaged to cancel math.sqrt(betv/beth) and math.sqrt(beth/betv)
for k in range(len(bpm)):
f1001Abs[k][i] =math.sqrt(abs(f1001x[k]*f1001y[k]))
f1010Abs[k][i] =math.sqrt(abs(f1010x[k]*f1010y[k]))
f1001xArg[k][i]=np.angle(f1001x[k])%(2*np.pi)
f1001yArg[k][i]=np.angle(f1001y[k])%(2*np.pi)
f1010xArg[k][i]=np.angle(f1010x[k])%(2*np.pi)
f1010yArg[k][i]=np.angle(f1010y[k])%(2*np.pi)
#-- Output
fwqw={}
goodbpm=[]
for k in range(len(bpm)):
#-- Bad BPM flag based on phase
badbpm=0
f1001xArgAve = phase.calc_phase_mean(f1001xArg[k],2*np.pi)
f1001yArgAve = phase.calc_phase_mean(f1001yArg[k],2*np.pi)
f1010xArgAve = phase.calc_phase_mean(f1010xArg[k],2*np.pi)
f1010yArgAve = phase.calc_phase_mean(f1010yArg[k],2*np.pi)
#This seems to be to conservative or somethings...
if min(abs(f1001xArgAve-f1001yArgAve),2*np.pi-abs(f1001xArgAve-f1001yArgAve))>np.pi/2: badbpm=1
if min(abs(f1010xArgAve-f1010yArgAve),2*np.pi-abs(f1010xArgAve-f1010yArgAve))>np.pi/2: badbpm=1
#-- Output
badbpm=0
if badbpm==0:
f1001AbsAve = np.mean(f1001Abs[k])
f1010AbsAve = np.mean(f1010Abs[k])
f1001ArgAve = phase.calc_phase_mean(np.append(f1001xArg[k],f1001yArg[k]),2*np.pi)
f1010ArgAve = phase.calc_phase_mean(np.append(f1010xArg[k],f1010yArg[k]),2*np.pi)
f1001Ave = f1001AbsAve*np.exp(1j*f1001ArgAve)
f1010Ave = f1010AbsAve*np.exp(1j*f1010ArgAve)
f1001AbsStd = math.sqrt(np.mean((f1001Abs[k]-f1001AbsAve)**2))
f1010AbsStd = math.sqrt(np.mean((f1010Abs[k]-f1010AbsAve)**2))
f1001ArgStd = phase.calc_phase_std(np.append(f1001xArg[k],f1001yArg[k]),2*np.pi)
f1010ArgStd = phase.calc_phase_std(np.append(f1010xArg[k],f1010yArg[k]),2*np.pi)
fwqw[bpm[k][1]] = [[f1001Ave ,f1001AbsStd ,f1010Ave ,f1010AbsStd ],
[f1001ArgAve/(2*np.pi),f1001ArgStd/(2*np.pi),f1010ArgAve/(2*np.pi),f1010ArgStd/(2*np.pi)]] #-- Phases renormalized to [0,1)
goodbpm.append(bpm[k])
#-- Global parameters not implemented yet
fqwList.append(fwqw)
fwqw = copy.deepcopy(fqwList[0])
for key in fwqw:
for a in range(1, len(fqwList)):
tmp = fqwList[a]
fwqw[key][0][0] = fwqw[key][0][0] + tmp[key][0][0]
fwqw[key][0][1] = fwqw[key][0][1] + tmp[key][0][1]
fwqw[key][0][2] = fwqw[key][0][2] + tmp[key][0][2]
fwqw[key][0][3] = fwqw[key][0][3] + tmp[key][0][3]
if(key is 'BPMWB.4R5.B1'):
print fwqw[key][1]
fwqw[key][0][0]=fwqw[key][0][0]/len(fqwList)
fwqw[key][0][1]=fwqw[key][0][1]/len(fqwList)
fwqw[key][0][2]=fwqw[key][0][2]/len(fqwList)
fwqw[key][0][3]=fwqw[key][0][3]/len(fqwList)
fwqw['Global']=['"null"','"null"']
return [fwqw,goodbpm]
def get_free_phase_eq(MADTwiss, Files, Qd, Q, psid_ac2bpmac, plane, bd, op, Qmdl, acdipole, important_pairs):
#
# print "\33[38;2;255;200;0m"
# print " /\\ "
# print " //\\\\ "
# print " // \\\\ "
# print " // || \\\\ "
# print " // || \\\\ "
# print " // || \\\\ "
# print " // || \\\\ "
# print " // \\\\ "
# print " // () \\\\ "
# print "//________________\\\\ "
# print "-------------------- "
# print " "
# print "INFO: using changed code for ac compensation\n DO NOT TRUST THIS CODE\33[0m"
print "Compensating {3:s} effect for plane {2:s}. Q = {0:f}, Qd = {1:f}".format(Q, Qd, plane, acdipole)
#-- Select common BPMs
bpm = utils.bpm.model_intersect(utils.bpm.intersect(Files), MADTwiss)
bpm = [(b[0], str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
if op == "1":
print "correcting phase jump"
if 'MOH_3' in MADTwiss.NAME:
print "--> for JPARC"
s_lastbpm = MADTwiss.S[MADTwiss.indx['MOH_3']]
else:
print "--> for LHC"
if bd == 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
if bd == -1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
else:
print "phase jump will not be corrected"
#-- Determine the position of the AC dipole BPM
bpmac1 = psid_ac2bpmac.keys()[0]
bpmac2 = psid_ac2bpmac.keys()[1]
try:
k_bpmac = list(zip(*bpm)[1]).index(bpmac1)
bpmac = bpmac1
except:
try:
k_bpmac = list(zip(*bpm)[1]).index(bpmac2)
bpmac = bpmac2
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles missing. AC dipole effects not calculated for '+plane+' with eqs !'
return [{}, 0.0, []]
#-- Model phase advances
if plane=='H': psimdl=np.array([MADTwiss.MUX[MADTwiss.indx[b[1]]] for b in bpm])
if plane=='V': psimdl=np.array([MADTwiss.MUY[MADTwiss.indx[b[1]]] for b in bpm])
# <<<<<<<<<< ICH
psiijmdl = [None] * 10
psiijall = []
for which_psi in range(1,11):
psiijmdl[which_psi-1] = (np.append(psimdl[which_psi:], psimdl[:which_psi] + Qmdl) - psimdl) % 1
psiijall.append(np.zeros((len(bpm), len(Files))))
#-- Global parameters of the driven motion
r=sin(PI * (Qd - Q)) / sin(PI * (Qd + Q))
#-- Loop for files, psid, Psi, Psid are w.r.t the AC dipole
psi_important = []
if important_pairs is not None:
for first_bpm in important_pairs:
first_i = -1
for i_ in range(len(bpm)):
if bpm[i_][1] == first_bpm:
first_i = i_
if first_i != -1:
for second_bpm in important_pairs[first_bpm]:
second_i = -1
for i_ in range(len(bpm)):
if bpm[i_][1] == second_bpm:
second_i = i_
if second_i != -1:
psi_important.append([first_bpm, first_i, second_bpm, second_i, []])
for i in range(len(Files)):
psid = []
if plane == 'H':
psid = bd * TWOPI * np.array([Files[i].MUX[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
if plane == 'V':
psid = bd * TWOPI * np.array([Files[i].MUY[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
for k in range(len(bpm)):
try:
if bpm[k][0] > s_lastbpm: psid[k] += TWOPI * Qd #-- To fix the phase shift by Q
except: pass
psid = psid - (psid[k_bpmac] - psid_ac2bpmac[bpmac]) # OK, untill here, it is Psi(s, s_ac)
Psid=psid + PI * Qd
Psid[k_bpmac:]=Psid[k_bpmac:]-TWOPI * Qd
gamma = Psid*2
alpha = psid + PI * Qd
alpha[k_bpmac:] = alpha[k_bpmac:] + TWOPI * (Q - Qd) + kEPSILON
Psi = np.arctan((1 - r) / (1 + r) * np.tan(Psid)) % PI # Ryoichi
Psi_a = np.arctan((1 + r * np.sin(alpha - gamma) / np.sin(alpha)) / (1 + r * np.cos(alpha - gamma)/np.cos(alpha)))
for k in range(len(bpm)):
if Psid[k] % TWOPI > PI: Psi[k] = Psi[k] + PI
psi = Psi - Psi[0]
psi[k_bpmac:] = psi[k_bpmac:] + TWOPI * Q
# <<<<<<<<<< ICH
psiij = [None] * 10
for j in range(1, 11):
psiij[j-1] = (np.append(psi[j:], psi[:j] + TWOPI * Q) - psi)/ TWOPI
for k in range(len(bpm)):
# <<<<<<<<<< ICH
for j in range(0, 10):
psiijall[j][k][i] = psiij[j][k]
for fbpm, fi, sbpm, si, _list in psi_important:
_list.append((psi[si] - psi[fi])/TWOPI)
#-- Output
result={}
muave=0.0 #-- mu is the same as psi but w/o mod
for k in range(len(bpm)):
# <<<<<<<<<< ICH
psiijave = [None] * 10
psiijstd = [None] * 10
bnj = [None] * 11
for j in range(0,11):
bnj[j] = str.upper(bpm[(k + j) % len(bpm)][1])
for j in range(0,10):
psiijave[j] = phase.calc_phase_mean(psiijall[j][k],1)
psiijstd[j] = phase.calc_phase_std(psiijall[j][k],1)
result["".join([plane, bnj[0], bnj[j + 1]])] = [psiijave[j],psiijstd[j],psiijmdl[j][k]]
muave += psiijave[0]
try: result[bpm[k][1]]=[psiijave[0],psiijstd[0],psiijave[1],psiijstd[1],psiijmdl[0][k],psiijmdl[1][k],bpm[k+1][1]]
except: result[bpm[k][1]]=[psiijave[0],psiijstd[0],psiijave[1],psiijstd[1],psiijmdl[0][k],psiijmdl[1][k],bpm[0][1]] #-- The last BPM
for fbpm, fi, sbpm, si, _list in psi_important:
result["".join([plane, fbpm, sbpm])] = [
phase.calc_phase_mean(_list,1),
phase.calc_phase_std(_list,1),
0]
return result, muave, bpm
def get_free_phase_total_eq(MADTwiss,Files,Qd,Q,psid_ac2bpmac,plane,bd,op):
#-- Select common BPMs
bpm=utils.bpm.model_intersect(utils.bpm.intersect(Files), MADTwiss)
bpm=[(b[0],str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
if op == "1":
if bd== 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
if bd==-1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
else:
print "LHC phase will not be corrected [total phase]"
#-- Determine the BPM closest to the AC dipole and its position
# WHY does this code exist?
# for b in psid_ac2bpmac.keys():
# if '5L4' in b: bpmac1=b
# if '6L4' in b: bpmac2=b
bpmac1 = psid_ac2bpmac.keys()[0]
bpmac2 = psid_ac2bpmac.keys()[1]
try:
k_bpmac=list(zip(*bpm)[1]).index(bpmac1)
bpmac=bpmac1
except:
try:
k_bpmac=list(zip(*bpm)[1]).index(bpmac2)
bpmac=bpmac2
except:
return [{},[]]
# -- Model phase advances
if plane == 'H':
psimdl = np.array([(MADTwiss.MUX[MADTwiss.indx[b[1]]]-MADTwiss.MUX[MADTwiss.indx[bpm[0][1]]])%1 for b in bpm])
if plane == 'V':
psimdl=np.array([(MADTwiss.MUY[MADTwiss.indx[b[1]]]-MADTwiss.MUY[MADTwiss.indx[bpm[0][1]]])%1 for b in bpm])
# -- Global parameters of the driven motion
r = sin(np.pi * (Qd - Q)) / sin(np.pi * (Qd + Q))
# -- Loop for files, psid, Psi, Psid are w.r.t the AC dipole
psiall=np.zeros((len(bpm), len(Files)))
for i in range(len(Files)):
if plane == 'H':
psid = bd * 2 * np.pi * np.array([Files[i].MUX[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
if plane=='V': psid=bd*2*np.pi*np.array([Files[i].MUY[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
for k in range(len(bpm)):
try:
if bpm[k][0]>s_lastbpm: psid[k]+=2*np.pi*Qd #-- To fix the phase shift by Q
except: pass
psid=psid-(psid[k_bpmac]-psid_ac2bpmac[bpmac])
Psid=psid+np.pi*Qd
Psid[k_bpmac:]=Psid[k_bpmac:]-2*np.pi*Qd
Psi=np.arctan((1-r)/(1+r)*np.tan(Psid))%np.pi
for k in range(len(bpm)):
if Psid[k]%(2*np.pi)>np.pi: Psi[k]=Psi[k]+np.pi
psi=Psi-Psi[0]
psi[k_bpmac:]=psi[k_bpmac:]+2*np.pi*Q
for k in range(len(bpm)): psiall[k][i]=psi[k]/(2*np.pi) #-- phase range back to [0,1)
#-- Output
result={}
for k in range(len(bpm)):
psiave = phase.calc_phase_mean(psiall[k],1)
psistd = phase.calc_phase_std(psiall[k],1)
result[bpm[k][1]]=[psiave,psistd,psimdl[k],bpm[0][1]]
return [result,bpm]
def GetFreeCoupling_Eq(MADTwiss,FilesX,FilesY,Qh,Qv,Qx,Qy,psih_ac2bpmac,psiv_ac2bpmac,bd,acdipole,oa):
#-- Details of this algorithms is in http://www.agsrhichome.bnl.gov/AP/ap_notes/ap_note_410.pdf
#-- Check linx/liny files, may be redundant
if len(FilesX)!=len(FilesY): return [{},[]]
#-- Select common BPMs
bpm=utils.bpm.model_intersect(utils.bpm.intersect(FilesX + FilesY), MADTwiss)
bpm=[(b[0],str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
#if op=="1" and bd== 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
#if op=="1" and bd==-1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
#-- Determine the BPM closest to the AC dipole and its position
#BPMYB.6L4.B1 BPMYA.5L4.B1
# BPMWA.B5L4.B1
horBPMsCopensation =[]
verBPMsCopensation = []
#bpmac1_h=psih_ac2bpmac.keys()[0]
#bpmac2_h=psih_ac2bpmac.keys()[1]
#bpmac1_v = psiv_ac2bpmac.keys()[0]
#bpmac2_v = psiv_ac2bpmac.keys()[1]
for key in psih_ac2bpmac:
if(key in list(zip(*bpm)[1])):
horBPMsCopensation.append(key)
verBPMsCopensation.append(key)
fqwList = []
for g in range(0, len(horBPMsCopensation)):
k_bpmac_h =list(zip(*bpm)[1]).index(horBPMsCopensation[g])
bpmac_h=horBPMsCopensation[g]
k_bpmac_v=list(zip(*bpm)[1]).index(verBPMsCopensation[g])
bpmac_v=verBPMsCopensation[g]
'''
try:
k_bpmac_h=list(zip(*bpm)[1]).index(bpmac1_h)
bpmac_h=bpmac1_h
except:
try:
k_bpmac_h=list(zip(*bpm)[1]).index(bpmac2_h)
bpmac_h=bpmac2_h
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles or ADT missing. AC or ADT dipole effects not calculated with analytic eqs for coupling'
return [{},[]]
# if 'B5R4' in b: bpmac1=b
#if 'A5R4' in b: bpmac2=b
try:
k_bpmac_v=list(zip(*bpm)[1]).index(bpmac1_v)
bpmac_v=bpmac1_v
except:
try:
k_bpmac_v=list(zip(*bpm)[1]).index(bpmac2_v)
bpmac_v=bpmac2_v
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles or ADT missing. AC dipole or ADT effects not calculated with analytic eqs for coupling'
return [{},[]]
print k_bpmac_v, bpmac_v
print k_bpmac_h, bpmac_h
'''
#-- Global parameters of the driven motion
dh =Qh-Qx
dv =Qv-Qy
rh =sin(np.pi*(Qh-Qx))/sin(np.pi*(Qh+Qx))
rv =sin(np.pi*(Qv-Qy))/sin(np.pi*(Qv+Qy))
rch=sin(np.pi*(Qh-Qy))/sin(np.pi*(Qh+Qy))
rcv=sin(np.pi*(Qx-Qv))/sin(np.pi*(Qx+Qv))
#-- Loop for files
f1001Abs =np.zeros((len(bpm),len(FilesX)))
f1010Abs =np.zeros((len(bpm),len(FilesX)))
f1001xArg=np.zeros((len(bpm),len(FilesX)))
f1001yArg=np.zeros((len(bpm),len(FilesX)))
f1010xArg=np.zeros((len(bpm),len(FilesX)))
f1010yArg=np.zeros((len(bpm),len(FilesX)))
for i in range(len(FilesX)):
#-- Read amplitudes and phases
amph = np.array([FilesX[i].AMPX[FilesX[i].indx[b[1]]] for b in bpm])
ampv = np.array([FilesY[i].AMPY[FilesY[i].indx[b[1]]] for b in bpm])
amph01= np.array([FilesX[i].AMP01[FilesX[i].indx[b[1]]] for b in bpm])
ampv10= np.array([FilesY[i].AMP10[FilesY[i].indx[b[1]]] for b in bpm])
psih =2*np.pi*np.array([FilesX[i].MUX[FilesX[i].indx[b[1]]] for b in bpm])
psiv =2*np.pi*np.array([FilesY[i].MUY[FilesY[i].indx[b[1]]] for b in bpm])
psih01=2*np.pi*np.array([FilesX[i].PHASE01[FilesX[i].indx[b[1]]] for b in bpm])
psiv10=2*np.pi*np.array([FilesY[i].PHASE10[FilesY[i].indx[b[1]]] for b in bpm])
#-- I'm not sure this is correct for the coupling so I comment out this part for now (by RM 9/30/11).
#for k in range(len(bpm)):
# try:
# if bpm[k][0]>s_lastbpm:
# psih[k] +=bd*2*np.pi*Qh #-- To fix the phase shift by Qh
# psiv[k] +=bd*2*np.pi*Qv #-- To fix the phase shift by Qv
# psih01[k]+=bd*2*np.pi*Qv #-- To fix the phase shift by Qv
# psiv10[k]+=bd*2*np.pi*Qh #-- To fix the phase shift by Qh
# except: pass
#-- Construct Fourier components
# * be careful for that the note is based on x+i(alf*x*bet*x')).
# * Calculating Eqs (87)-(92) by using Eqs (47) & (48) (but in the Fourier space) in the note.
# * Note that amph(v)01 is normalized by amph(v) and it is un-normalized in the following.
dpsih =np.append(psih[1:] ,2*np.pi*Qh+psih[0] )-psih
dpsiv =np.append(psiv[1:] ,2*np.pi*Qv+psiv[0] )-psiv
dpsih01=np.append(psih01[1:],2*np.pi*Qv+psih01[0])-psih01
dpsiv10=np.append(psiv10[1:],2*np.pi*Qh+psiv10[0])-psiv10
X_m10=2*amph*np.exp(-1j*psih)
Y_0m1=2*ampv*np.exp(-1j*psiv)
X_0m1=amph*np.exp(-1j*psih01)/(1j*sin(dpsih))*(amph01*np.exp(1j*dpsih)-np.append(amph01[1:],amph01[0])*np.exp(-1j*dpsih01))
X_0p1=amph*np.exp( 1j*psih01)/(1j*sin(dpsih))*(amph01*np.exp(1j*dpsih)-np.append(amph01[1:],amph01[0])*np.exp( 1j*dpsih01))
Y_m10=ampv*np.exp(-1j*psiv10)/(1j*sin(dpsiv))*(ampv10*np.exp(1j*dpsiv)-np.append(ampv10[1:],ampv10[0])*np.exp(-1j*dpsiv10))
Y_p10=ampv*np.exp( 1j*psiv10)/(1j*sin(dpsiv))*(ampv10*np.exp(1j*dpsiv)-np.append(ampv10[1:],ampv10[0])*np.exp( 1j*dpsiv10))
#-- Construct f1001hv, f1001vh, f1010hv (these include math.sqrt(betv/beth) or math.sqrt(beth/betv))
f1001hv=-np.conjugate(1/(2j)*Y_m10/X_m10) #-- - sign from the different def
f1001vh=-1/(2j)*X_0m1/Y_0m1 #-- - sign from the different def
f1010hv=-1/(2j)*Y_p10/np.conjugate(X_m10) #-- - sign from the different def
f1010vh=-1/(2j)*X_0p1/np.conjugate(Y_0m1) #-- - sign from the different def
## f1001hv=conjugate(1/(2j)*Y_m10/X_m10)
## f1001vh=1/(2j)*X_0m1/Y_0m1
## f1010hv=1/(2j)*Y_p10/conjugate(X_m10)
## f1010vh=1/(2j)*X_0p1/conjugate(Y_0m1)
#-- Construct phases psih, psiv, Psih, Psiv w.r.t. the AC dipole
psih=psih-(psih[k_bpmac_h]-psih_ac2bpmac[bpmac_h])
psiv=psiv-(psiv[k_bpmac_v]-psiv_ac2bpmac[bpmac_v])
#print('the phase to the device', k_bpmac_h, psih[k_bpmac_h], bpmac_h, (psih[k_bpmac_h]-psih_ac2bpmac[bpmac_h]))
Psih=psih-np.pi*Qh
Psih[:k_bpmac_h]=Psih[:k_bpmac_h]+2*np.pi*Qh
Psiv=psiv-np.pi*Qv
Psiv[:k_bpmac_v]=Psiv[:k_bpmac_v]+2*np.pi*Qv
Psix=np.arctan((1-rh)/(1+rh)*np.tan(Psih))%np.pi
Psiy=np.arctan((1-rv)/(1+rv)*np.tan(Psiv))%np.pi
for k in range(len(bpm)):
if Psih[k]%(2*np.pi)>np.pi: Psix[k]=Psix[k]+np.pi
if Psiv[k]%(2*np.pi)>np.pi: Psiy[k]=Psiy[k]+np.pi
psix=Psix-np.pi*Qx
psix[k_bpmac_h:]=psix[k_bpmac_h:]+2*np.pi*Qx
psiy=Psiy-np.pi*Qy
psiy[k_bpmac_v:]=psiy[k_bpmac_v:]+2*np.pi*Qy
#-- Construct f1001h, f1001v, f1010h, f1010v (these include math.sqrt(betv/beth) or math.sqrt(beth/betv))
f1001h=1/math.sqrt(1-rv**2)*(np.exp(-1j*(Psiv-Psiy))*f1001hv+rv*np.exp( 1j*(Psiv+Psiy))*f1010hv)
f1010h=1/math.sqrt(1-rv**2)*(np.exp( 1j*(Psiv-Psiy))*f1010hv+rv*np.exp(-1j*(Psiv+Psiy))*f1001hv)
f1001v=1/math.sqrt(1-rh**2)*(np.exp( 1j*(Psih-Psix))*f1001vh+rh*np.exp(-1j*(Psih+Psix))*np.conjugate(f1010vh))
f1010v=1/math.sqrt(1-rh**2)*(np.exp( 1j*(Psih-Psix))*f1010vh+rh*np.exp(-1j*(Psih+Psix))*np.conjugate(f1001vh))
#-- Construct f1001 and f1010 from h and v BPMs (these include math.sqrt(betv/beth) or math.sqrt(beth/betv))
g1001h =np.exp(-1j*((psih-psih[k_bpmac_h])-(psiy-psiy[k_bpmac_v])))*(ampv/amph*amph[k_bpmac_h]/ampv[k_bpmac_v])*f1001h[k_bpmac_h]
g1001h[:k_bpmac_h]=1/(np.exp(2*np.pi*1j*(Qh-Qy))-1)*(f1001h-g1001h)[:k_bpmac_h]
g1001h[k_bpmac_h:]=1/(1-np.exp(-2*np.pi*1j*(Qh-Qy)))*(f1001h-g1001h)[k_bpmac_h:]
g1010h =np.exp(-1j*((psih-psih[k_bpmac_h])+(psiy-psiy[k_bpmac_v])))*(ampv/amph*amph[k_bpmac_h]/ampv[k_bpmac_v])*f1010h[k_bpmac_h]
g1010h[:k_bpmac_h]=1/(np.exp(2*np.pi*1j*(Qh+Qy))-1)*(f1010h-g1010h)[:k_bpmac_h]
g1010h[k_bpmac_h:]=1/(1-np.exp(-2*np.pi*1j*(Qh+Qy)))*(f1010h-g1010h)[k_bpmac_h:]
g1001v =np.exp(-1j*((psix-psix[k_bpmac_h])-(psiv-psiv[k_bpmac_v])))*(amph/ampv*ampv[k_bpmac_v]/amph[k_bpmac_h])*f1001v[k_bpmac_v]
g1001v[:k_bpmac_v]=1/(np.exp(2*np.pi*1j*(Qx-Qv))-1)*(f1001v-g1001v)[:k_bpmac_v]
g1001v[k_bpmac_v:]=1/(1-np.exp(-2*np.pi*1j*(Qx-Qv)))*(f1001v-g1001v)[k_bpmac_v:]
g1010v =np.exp(-1j*((psix-psix[k_bpmac_h])+(psiv-psiv[k_bpmac_v])))*(amph/ampv*ampv[k_bpmac_v]/amph[k_bpmac_h])*f1010v[k_bpmac_v]
g1010v[:k_bpmac_v]=1/(np.exp(2*np.pi*1j*(Qx+Qv))-1)*(f1010v-g1010v)[:k_bpmac_v]
g1010v[k_bpmac_v:]=1/(1-np.exp(-2*np.pi*1j*(Qx+Qv)))*(f1010v-g1010v)[k_bpmac_v:]
f1001x=np.exp(1j*(psih-psix))*f1001h
f1001x=f1001x-rh*np.exp(-1j*(psih+psix))/rch*np.conjugate(f1010h)
f1001x=f1001x-2j*sin(np.pi*dh)*np.exp(1j*(Psih-Psix))*g1001h
f1001x=f1001x-2j*sin(np.pi*dh)*np.exp(-1j*(Psih+Psix))/rch*np.conjugate(g1010h)
f1001x=1/math.sqrt(1-rh**2)*sin(np.pi*(Qh-Qy))/sin(np.pi*(Qx-Qy))*f1001x
f1010x=np.exp(1j*(psih-psix))*f1010h
f1010x=f1010x-rh*np.exp(-1j*(psih+psix))*rch*np.conjugate(f1001h)
f1010x=f1010x-2j*sin(np.pi*dh)*np.exp(1j*(Psih-Psix))*g1010h
f1010x=f1010x-2j*sin(np.pi*dh)*np.exp(-1j*(Psih+Psix))*rch*np.conjugate(g1001h)
f1010x=1/math.sqrt(1-rh**2)*sin(np.pi*(Qh+Qy))/sin(np.pi*(Qx+Qy))*f1010x
f1001y=np.exp(-1j*(psiv-psiy))*f1001v
f1001y=f1001y+rv*np.exp(1j*(psiv+psiy))/rcv*f1010v
f1001y=f1001y+2j*sin(np.pi*dv)*np.exp(-1j*(Psiv-Psiy))*g1001v
f1001y=f1001y-2j*sin(np.pi*dv)*np.exp(1j*(Psiv+Psiy))/rcv*g1010v
f1001y=1/math.sqrt(1-rv**2)*sin(np.pi*(Qx-Qv))/sin(np.pi*(Qx-Qy))*f1001y
f1010y=np.exp(1j*(psiv-psiy))*f1010v
f1010y=f1010y+rv*np.exp(-1j*(psiv+psiy))*rcv*f1001v
f1010y=f1010y-2j*sin(np.pi*dv)*np.exp(1j*(Psiv-Psiy))*g1010v
f1010y=f1010y+2j*sin(np.pi*dv)*np.exp(-1j*(Psiv+Psiy))*rcv*g1001v
f1010y=1/math.sqrt(1-rv**2)*sin(np.pi*(Qx+Qv))/sin(np.pi*(Qx+Qy))*f1010y
#-- For B2, must be double checked
if bd == -1:
f1001x=-np.conjugate(f1001x)
f1001y=-np.conjugate(f1001y)
f1010x=-np.conjugate(f1010x)
f1010y=-np.conjugate(f1010y)
#-- Separate to amplitudes and phases, amplitudes averaged to cancel math.sqrt(betv/beth) and math.sqrt(beth/betv)
for k in range(len(bpm)):
f1001Abs[k][i] =math.sqrt(abs(f1001x[k]*f1001y[k]))
f1010Abs[k][i] =math.sqrt(abs(f1010x[k]*f1010y[k]))
f1001xArg[k][i]=np.angle(f1001x[k])%(2*np.pi)
f1001yArg[k][i]=np.angle(f1001y[k])%(2*np.pi)
f1010xArg[k][i]=np.angle(f1010x[k])%(2*np.pi)
f1010yArg[k][i]=np.angle(f1010y[k])%(2*np.pi)
#-- Output
fwqw={}
goodbpm=[]
for k in range(len(bpm)):
#-- Bad BPM flag based on phase
badbpm=0
f1001xArgAve = phase.calc_phase_mean(f1001xArg[k],2*np.pi)
f1001yArgAve = phase.calc_phase_mean(f1001yArg[k],2*np.pi)
f1010xArgAve = phase.calc_phase_mean(f1010xArg[k],2*np.pi)
f1010yArgAve = phase.calc_phase_mean(f1010yArg[k],2*np.pi)
#This seems to be to conservative or somethings...
if min(abs(f1001xArgAve-f1001yArgAve),2*np.pi-abs(f1001xArgAve-f1001yArgAve))>np.pi/2: badbpm=1
if min(abs(f1010xArgAve-f1010yArgAve),2*np.pi-abs(f1010xArgAve-f1010yArgAve))>np.pi/2: badbpm=1
#-- Output
badbpm=0
if badbpm==0:
f1001AbsAve = np.mean(f1001Abs[k])
f1010AbsAve = np.mean(f1010Abs[k])
f1001ArgAve = phase.calc_phase_mean(np.append(f1001xArg[k],f1001yArg[k]),2*np.pi)
f1010ArgAve = phase.calc_phase_mean(np.append(f1010xArg[k],f1010yArg[k]),2*np.pi)
f1001Ave = f1001AbsAve*np.exp(1j*f1001ArgAve)
f1010Ave = f1010AbsAve*np.exp(1j*f1010ArgAve)
f1001AbsStd = math.sqrt(np.mean((f1001Abs[k]-f1001AbsAve)**2))
f1010AbsStd = math.sqrt(np.mean((f1010Abs[k]-f1010AbsAve)**2))
f1001ArgStd = phase.calc_phase_std(np.append(f1001xArg[k],f1001yArg[k]),2*np.pi)
f1010ArgStd = phase.calc_phase_std(np.append(f1010xArg[k],f1010yArg[k]),2*np.pi)
fwqw[bpm[k][1]] = [[f1001Ave ,f1001AbsStd ,f1010Ave ,f1010AbsStd ],
[f1001ArgAve/(2*np.pi),f1001ArgStd/(2*np.pi),f1010ArgAve/(2*np.pi),f1010ArgStd/(2*np.pi)]] #-- Phases renormalized to [0,1)
goodbpm.append(bpm[k])
#-- Global parameters not implemented yet
fqwList.append(fwqw)
fwqw = copy.deepcopy(fqwList[0])
for key in fwqw:
for a in range(1, len(fqwList)):
tmp = fqwList[a]
fwqw[key][0][0] = fwqw[key][0][0] + tmp[key][0][0]
fwqw[key][0][1] = fwqw[key][0][1] + tmp[key][0][1]
fwqw[key][0][2] = fwqw[key][0][2] + tmp[key][0][2]
fwqw[key][0][3] = fwqw[key][0][3] + tmp[key][0][3]
if(key is 'BPMWB.4R5.B1'):
print fwqw[key][1]
fwqw[key][0][0]=fwqw[key][0][0]/len(fqwList)
fwqw[key][0][1]=fwqw[key][0][1]/len(fqwList)
fwqw[key][0][2]=fwqw[key][0][2]/len(fqwList)
fwqw[key][0][3]=fwqw[key][0][3]/len(fqwList)
fwqw['Global']=['"null"','"null"']
return [fwqw,goodbpm]
def get_free_phase_eq(MADTwiss, Files, Qd, Q, psid_ac2bpmac, plane, bd, op, Qmdl, acdipole, important_pairs):
#
# print "\33[38;2;255;200;0m"
# print " /\\ "
# print " //\\\\ "
# print " // \\\\ "
# print " // || \\\\ "
# print " // || \\\\ "
# print " // || \\\\ "
# print " // || \\\\ "
# print " // \\\\ "
# print " // () \\\\ "
# print "//________________\\\\ "
# print "-------------------- "
# print " "
# print "INFO: using changed code for ac compensation\n DO NOT TRUST THIS CODE\33[0m"
print "Compensating {3:s} effect for plane {2:s}. Q = {0:f}, Qd = {1:f}".format(Q, Qd, plane, acdipole)
#-- Select common BPMs
bpm = utils.bpm.model_intersect(utils.bpm.intersect(Files), MADTwiss)
bpm = [(b[0], str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
if op == "1":
print "correcting phase jump"
if 'MOH_3' in MADTwiss.NAME:
print "--> for JPARC"
s_lastbpm = MADTwiss.S[MADTwiss.indx['MOH_3']]
else:
print "--> for LHC"
if bd == 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
if bd == -1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
else:
print "phase jump will not be corrected"
#-- Determine the position of the AC dipole BPM
bpmac1 = psid_ac2bpmac.keys()[0]
bpmac2 = psid_ac2bpmac.keys()[1]
try:
k_bpmac = list(zip(*bpm)[1]).index(bpmac1)
bpmac = bpmac1
except:
try:
k_bpmac = list(zip(*bpm)[1]).index(bpmac2)
bpmac = bpmac2
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles missing. AC dipole effects not calculated for '+plane+' with eqs !'
return [{}, 0.0, []]
#-- Model phase advances
if plane=='H': psimdl=np.array([MADTwiss.MUX[MADTwiss.indx[b[1]]] for b in bpm])
if plane=='V': psimdl=np.array([MADTwiss.MUY[MADTwiss.indx[b[1]]] for b in bpm])
# <<<<<<<<<< ICH
psiijmdl = [None] * 10
psiijall = []
for which_psi in range(1,11):
psiijmdl[which_psi-1] = (np.append(psimdl[which_psi:], psimdl[:which_psi] + Qmdl) - psimdl) % 1
psiijall.append(np.zeros((len(bpm), len(Files))))
#-- Global parameters of the driven motion
r=sin(PI * (Qd - Q)) / sin(PI * (Qd + Q))
#-- Loop for files, psid, Psi, Psid are w.r.t the AC dipole
psi_important = []
if important_pairs is not None:
for first_bpm in important_pairs:
first_i = -1
for i_ in range(len(bpm)):
if bpm[i_][1] == first_bpm:
first_i = i_
if first_i != -1:
for second_bpm in important_pairs[first_bpm]:
second_i = -1
for i_ in range(len(bpm)):
if bpm[i_][1] == second_bpm:
second_i = i_
if second_i != -1:
psi_important.append([first_bpm, first_i, second_bpm, second_i, []])
for i in range(len(Files)):
psid = []
if plane == 'H':
psid = bd * TWOPI * np.array([Files[i].MUX[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
if plane == 'V':
psid = bd * TWOPI * np.array([Files[i].MUY[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
for k in range(len(bpm)):
try:
if bpm[k][0] > s_lastbpm: psid[k] += TWOPI * Qd #-- To fix the phase shift by Q
except: pass
psid = psid - (psid[k_bpmac] - psid_ac2bpmac[bpmac]) # OK, untill here, it is Psi(s, s_ac)
Psid=psid + PI * Qd
Psid[k_bpmac:]=Psid[k_bpmac:]-TWOPI * Qd
gamma = Psid*2
alpha = psid + PI * Qd
alpha[k_bpmac:] = alpha[k_bpmac:] + TWOPI * (Q - Qd) + kEPSILON
Psi = np.arctan((1 - r) / (1 + r) * np.tan(Psid)) % PI # Ryoichi
Psi_a = np.arctan((1 + r * np.sin(alpha - gamma) / np.sin(alpha)) / (1 + r * np.cos(alpha - gamma)/np.cos(alpha)))
for k in range(len(bpm)):
if Psid[k] % TWOPI > PI: Psi[k] = Psi[k] + PI
psi = Psi - Psi[0]
psi[k_bpmac:] = psi[k_bpmac:] + TWOPI * Q
# <<<<<<<<<< ICH
psiij = [None] * 10
for j in range(1, 11):
psiij[j-1] = (np.append(psi[j:], psi[:j] + TWOPI * Q) - psi)/ TWOPI
for k in range(len(bpm)):
# <<<<<<<<<< ICH
for j in range(0, 10):
psiijall[j][k][i] = psiij[j][k]
for fbpm, fi, sbpm, si, _list in psi_important:
_list.append((psi[si] - psi[fi])/TWOPI)
#-- Output
result={}
muave=0.0 #-- mu is the same as psi but w/o mod
for k in range(len(bpm)):
# <<<<<<<<<< ICH
psiijave = [None] * 10
psiijstd = [None] * 10
bnj = [None] * 11
for j in range(0,11):
bnj[j] = str.upper(bpm[(k + j) % len(bpm)][1])
for j in range(0,10):
psiijave[j] = phase.calc_phase_mean(psiijall[j][k],1)
psiijstd[j] = phase.calc_phase_std(psiijall[j][k],1)
result["".join([plane, bnj[0], bnj[j + 1]])] = [psiijave[j],psiijstd[j],psiijmdl[j][k]]
muave += psiijave[0]
try: result[bpm[k][1]]=[psiijave[0],psiijstd[0],psiijave[1],psiijstd[1],psiijmdl[0][k],psiijmdl[1][k],bpm[k+1][1]]
except: result[bpm[k][1]]=[psiijave[0],psiijstd[0],psiijave[1],psiijstd[1],psiijmdl[0][k],psiijmdl[1][k],bpm[0][1]] #-- The last BPM
for fbpm, fi, sbpm, si, _list in psi_important:
result["".join([plane, fbpm, sbpm])] = [
phase.calc_phase_mean(_list,1),
phase.calc_phase_std(_list,1),
0]
return result, muave, bpm
def GetCoupling2(MADTwiss, list_zero_dpp_x, list_zero_dpp_y, tune_x, tune_y,
phasex, phasey, beam_direction, accel, outputpath):
"""Calculate coupling and phase with 2-BPM method for all BPMs and overall
INPUT
MADTwiss - twiss instance of model from MAD
list_zero_dpp_x - list with twiss objects for horizontal data
list_zero_dpp_y - list with twiss objects for vertical data
tune_x - horizontal tune (use natural/free tunes!)
tune_y - vertical tune (use natural/free tunes!)
phasex - horizontal phase (usage with phase.py in algorithms)
phasey - vertical phase (usage with phase.py in algorithms)
beam_direction - direction of beam, LHCB1: 1, LHCB2: -1
accel - accelerator (LHCB1, LHCB2, LHCB4(?), SPS, RHIC,TEVATRON)
outputpath - directory which contains the Drive.inp file to determine operation point
OUTPUT
fwqw - library with BPMs and corresponding results
dbpms - list of BPMs with correct phase
"""
### Prepare BPM lists ###
# Check linx/liny files, if it's OK it is confirmed that ListofZeroDPPX[i] and ListofZeroDPPY[i]
# come from the same (simultaneous) measurement. It might be redundant check.
if len(list_zero_dpp_x) != len(list_zero_dpp_y):
print >> sys.stderr, 'Leaving GetCoupling as linx and liny files seem not correctly paired...'
dum0 = {"Global": [0.0, 0.0]}
dum1 = []
return [dum0, dum1]
# Determine intersection of BPM-lists between measurement and model, create list dbpms
XplusY = list_zero_dpp_x + list_zero_dpp_y
dbpms = Utilities.bpm.intersect(XplusY)
dbpms = Utilities.bpm.model_intersect(dbpms, MADTwiss)
### Calculate fw and qw, exclude BPMs having wrong phases ###
# Initialize dictionary of BPMs with results
fwqw = {}
# Initialize dictionary of BPMs with results for old method
f_old_out = {}
# Initialize list of BPMs with correct phases
dbpmt = []
# Count number of BPM-pairs in intersection of model and measurement
Numbpmpairs = len(dbpms) - 1
# Loop through BPM-pairs
for i in range(Numbpmpairs):
# Get BPM names
bn1 = str.upper(dbpms[i][1])
bn2 = str.upper(dbpms[i + 1][1])
delx = phasex[bn1][0] - 0.25 # Missprint in the coupling note
dely = phasey[bn1][0] - 0.25
# Initialize result-lists (coupling, error on coupling and phases)
f1001ij = []
f1010ij = []
std_f1001ij = []
std_f1010ij = []
q1js = []
q2js = []
q1jd = []
q2jd = []
# Initialize as not bad BPM
badbpm = 0
# Loop through files to analyze
for j in range(0, len(list_zero_dpp_x)):
# Get twiss instance for current BPM and file
tw_x = list_zero_dpp_x[j]
tw_y = list_zero_dpp_y[j]
# Get main amplitude
[ampx_1,
ampy_1] = [tw_x.AMPX[tw_x.indx[bn1]], tw_y.AMPY[tw_y.indx[bn1]]]
[ampx_2,
ampy_2] = [tw_x.AMPX[tw_x.indx[bn2]], tw_y.AMPY[tw_y.indx[bn2]]]
# Exclude BPM if no main line was found
if ampx_1 == 0 or ampy_1 == 0 or ampx_2 == 0 or ampy_2 == 0:
badbpm = 1
ampx_1 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
ampy_1 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
ampx_2 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
ampy_2 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
# Get coupled amplitude ratios
[amp01_1, amp10_1
] = [tw_x.AMP01[tw_x.indx[bn1]], tw_y.AMP10[tw_y.indx[bn1]]]
[amp01_2, amp10_2
] = [tw_x.AMP01[tw_x.indx[bn2]], tw_y.AMP10[tw_y.indx[bn2]]]
# Replace secondary lines with amplitude infinity or 0 by noise average
try:
if amp01_1 == float("inf") or amp01_1 == 0:
amp01_1 = tw_x.AVG_NOISE[tw_x.indx[bn1]] / ampx_1
if amp10_1 == float("inf") or amp10_1 == 0:
amp10_1 = tw_y.AVG_NOISE[tw_y.indx[bn1]] / ampy_1
if amp01_2 == float("inf") or amp01_2 == 0:
amp01_2 = tw_x.AVG_NOISE[tw_x.indx[bn1]] / ampx_2
if amp10_2 == float("inf") or amp10_2 == 0:
amp10_2 = tw_y.AVG_NOISE[tw_y.indx[bn1]] / ampy_2
except AttributeError:
print "AVG_NOISE column not found, cannot use noise floor."
# Call routine in helper.py to get secondary lines for 2-BPM method
[SA0p1ij, phi0p1ij
] = helper.ComplexSecondaryLine(delx, amp01_1, amp01_2,
tw_x.PHASE01[tw_x.indx[bn1]],
tw_x.PHASE01[tw_x.indx[bn2]])
[SA0m1ij, phi0m1ij
] = helper.ComplexSecondaryLine(delx, amp01_1, amp01_2,
-tw_x.PHASE01[tw_x.indx[bn1]],
-tw_x.PHASE01[tw_x.indx[bn2]])
[TBp10ij, phip10ij
] = helper.ComplexSecondaryLine(dely, amp10_1, amp10_2,
tw_y.PHASE10[tw_y.indx[bn1]],
tw_y.PHASE10[tw_y.indx[bn2]])
[TBm10ij, phim10ij
] = helper.ComplexSecondaryLine(dely, amp10_1, amp10_2,
-tw_y.PHASE10[tw_y.indx[bn1]],
-tw_y.PHASE10[tw_y.indx[bn2]])
# Get noise standard deviation and propagate to coupled amplitude ratio
std_amp01_1 = tw_x.NOISE[tw_x.indx[bn1]] / ampx_1 * math.sqrt(
1 + amp01_1**2)
std_amp10_1 = tw_y.NOISE[tw_y.indx[bn1]] / ampy_1 * math.sqrt(
1 + amp10_1**2)
std_amp01_2 = tw_x.NOISE[tw_x.indx[bn2]] / ampx_2 * math.sqrt(
1 + amp01_2**2)
std_amp10_2 = tw_y.NOISE[tw_y.indx[bn2]] / ampy_2 * math.sqrt(
1 + amp10_2**2)
# Propagate to 2-BPM coupled amplitude ratio using a separate routine in helper.py
std_SA0p1ij = helper.ComplexSecondaryLineSTD(
delx, amp01_1, amp01_2, tw_x.PHASE01[tw_x.indx[bn1]],
tw_x.PHASE01[tw_x.indx[bn2]], std_amp01_1, std_amp01_2)
std_SA0m1ij = helper.ComplexSecondaryLineSTD(
delx, amp01_1, amp01_2, -tw_x.PHASE01[tw_x.indx[bn1]],
-tw_x.PHASE01[tw_x.indx[bn2]], std_amp01_1, std_amp01_2)
std_TBp10ij = helper.ComplexSecondaryLineSTD(
dely, amp10_1, amp10_2, tw_y.PHASE10[tw_y.indx[bn1]],
tw_y.PHASE10[tw_y.indx[bn2]], std_amp10_1, std_amp10_2)
std_TBm10ij = helper.ComplexSecondaryLineSTD(
dely, amp10_1, amp10_2, -tw_y.PHASE10[tw_y.indx[bn1]],
-tw_y.PHASE10[tw_y.indx[bn2]], std_amp10_1, std_amp10_2)
# Append results for the coupling parameters
f1001ij.append(
0.5 * math.sqrt(TBp10ij * SA0p1ij / 2.0 / 2.0)
) # division by 2 for each ratio as the scale of the #
f1010ij.append(
0.5 * math.sqrt(TBm10ij * SA0m1ij / 2.0 / 2.0)
) # main lines is 2 (also see appendix of the note) #
# Propagate error to f1001 and f1010 if possible (no division by 0)
if TBp10ij == 0 or SA0p1ij == 0:
std_f1001ij.append(float("nan"))
else:
std_f1001ij.append(0.25 * math.sqrt(4.0 / TBp10ij / SA0p1ij) *
math.sqrt((std_TBp10ij * SA0p1ij / 4)**2 +
(TBp10ij * std_SA0p1ij / 4)**2))
if TBm10ij == 0 or SA0m1ij == 0:
std_f1010ij.append(float("nan"))
else:
std_f1010ij.append(0.25 * math.sqrt(4.0 / TBm10ij / SA0m1ij) *
math.sqrt((std_TBm10ij * SA0m1ij / 4)**2 +
(TBm10ij * std_SA0m1ij / 4)**2))
if beam_direction == 1:
q1jd.append((phi0p1ij - tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2jd.append(
(-phip10ij + tw_x.MUX[tw_x.indx[bn1]] - 0.25) % 1.0)
elif beam_direction == -1:
q1jd.append((phi0p1ij - tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2jd.append(-(-phip10ij + tw_x.MUX[tw_x.indx[bn1]] - 0.25) %
1.0)
# This sign change in the real part is to comply with MAD output
q1jd[j] = (0.5 - q1jd[j]) % 1.0
q2jd[j] = (0.5 - q2jd[j]) % 1.0
if beam_direction == 1:
q1js.append((phi0m1ij + tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2js.append((phim10ij + tw_x.MUX[tw_x.indx[bn1]] + 0.25) % 1.0)
if beam_direction == -1:
q1js.append((phi0m1ij + tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2js.append(-(phim10ij + tw_x.MUX[tw_x.indx[bn1]] + 0.25) %
1.0)
# This sign change in the real part is to comply with MAD output
q1js[j] = (0.5 - q1js[j]) % 1.0
q2js[j] = (0.5 - q2js[j]) % 1.0
q1jd = np.array(q1jd)
q2jd = np.array(q2jd)
q1d = phase.calc_phase_mean(q1jd, 1.0)
q2d = phase.calc_phase_mean(q2jd, 1.0)
q1js = np.array(q1js)
q2js = np.array(q2js)
q1s = phase.calc_phase_mean(q1js, 1.0)
q2s = phase.calc_phase_mean(q2js, 1.0)
# Take SPS and RHIC out of the badbpm procedure (badbpm stays 0 as initialized) and set phases
if (accel == "SPS" or accel == "RHIC"):
q1010i = q1d
q1010i = q1s
# Check phase and set badbpm for wrong phase (only for other accels than SPS and RHIC)
elif min(abs(q1d - q2d), 1.0 - abs(q1d - q2d)) > 0.25 or min(
abs(q1s - q2s), 1.0 - abs(q1s - q2s)) > 0.25:
badbpm = 1
# If accel is SPS or RHIC or no no wrong phase was detected, process results
if badbpm == 0:
# Cast coupling parameters and errors as np.arrays for later calculations
f1001ij = np.array(f1001ij)
f1010ij = np.array(f1010ij)
std_f1001ij = np.array(std_f1001ij)
std_f1010ij = np.array(std_f1010ij)
# Old cminus method: averaging abs values
if beam_direction == 1:
f_old_out[bn1] = np.average(abs(f1001ij),
weights=1 / std_f1001ij**2)
elif beam_direction == -1:
f_old_out[bn1] = np.average(abs(f1010ij),
weights=1 / std_f1010ij**2)
# Use variance-weighted average to determine f and its std
f1001i = np.average(f1001ij, weights=1 / std_f1001ij**2)
f1010i = np.average(f1010ij, weights=1 / std_f1010ij**2)
# Set std of f1001 and f1010 by calculating the std of the weighted average
f1001istd = np.sqrt(1 / sum(1 / std_f1001ij**2))
f1010istd = np.sqrt(1 / sum(1 / std_f1010ij**2))
# Use routines in phase.py to get mean and std of the phase terms q1001 and q1010
q1001i = phase.calc_phase_mean(np.array([q1d, q2d]), 1.0)
q1010i = phase.calc_phase_mean(np.array([q1s, q2s]), 1.0)
q1001istd = phase.calc_phase_std(np.append(q1jd, q2jd), 1.0)
q1010istd = phase.calc_phase_std(np.append(q1js, q2js), 1.0)
# Calculate complex coupling terms using phases from above
f1001i = f1001i * complex(np.cos(2.0 * np.pi * q1001i),
np.sin(2.0 * np.pi * q1001i))
f1010i = f1010i * complex(np.cos(2.0 * np.pi * q1010i),
np.sin(2.0 * np.pi * q1010i))
# Add BPM to list of BPMs with correct phase
dbpmt.append([dbpms[i][0], dbpms[i][1]])
# Save results to BPM-results dictionary, sorted depending on beam_direction
if beam_direction == 1:
fwqw[bn1] = [[f1001i, f1001istd, f1010i, f1010istd],
[q1001i, q1001istd, q1010i, q1010istd]]
elif beam_direction == -1:
fwqw[bn1] = [[f1010i, f1010istd, f1001i, f1001istd],
[q1010i, q1010istd, q1001i, q1001istd]]
# Count number of skipped BPMs because of wrong phase
Badbpms = len(dbpms) - len(dbpmt)
# Rename list of BPMs with correct phase
dbpms = dbpmt
# Compute global values for coupling, error and phase
# Initialize coupling term f
f_new = complex(0, 0)
# Initialize denominator for weighted averaging
denom = 0
# Loop through BPMs with correct phase
for i in range(0, len(dbpms) - 1):
# Get BPM-names
bn1 = str.upper(dbpms[i][1])
bn2 = str.upper(dbpms[i + 1][1])
mux = MADTwiss.MUX[MADTwiss.indx[bn1]]
muy = MADTwiss.MUY[MADTwiss.indx[bn2]]
f_new += fwqw[bn2][0][0] * np.exp(
complex(0, 1) * 2 * np.pi *
(mux -
muy)) / fwqw[bn2][0][1]**2 # Variance-weighted average for BPMs
denom += 1 / fwqw[bn2][0][1]**2 # denominator for weighted average
N = len(dbpms)
f_new_std = np.sqrt(1 / denom)
CG_new_abs = 4 * abs(tune_x - tune_y) * abs(f_new) / denom
CG_new_abs_std = 4 * abs(tune_x - tune_y) * abs(f_new_std)
CG_new_phase = np.angle(f_new)
print('NewCMINUS: {0} +/- {1}'.format(CG_new_abs, CG_new_abs_std))
print('Skipped BPMs: {0} (badbpm) of {1}'.format(Badbpms, Numbpmpairs))
# Old formula
# Initialize global values coupling CG and phse QG
CG = 0.0
QG = 0.0
for i in range(0, len(dbpms) - 1):
bn1 = str.upper(dbpms[i][1])
CG += abs(f_old_out[bn1])
# For more than one file, this goes wrong, loops are mixed up for the phase calculation!
tw_x = list_zero_dpp_x[0]
tw_y = list_zero_dpp_y[0]
QG += fwqw[bn1][1][0] - (tw_x.MUX[tw_x.indx[bn1]] -
tw_y.MUY[tw_y.indx[bn1]])
if len(dbpms) == 0:
print >> sys.stderr, 'Warning: There is no BPM to output linear coupling properly... leaving Getcoupling.'
# Does this set a coupling without prefactor 4*(Qx-Qy) to global?
fwqw['Global'] = [CG, QG] #Quick fix Evian 2012
return [fwqw, dbpms]
else:
CG_old = abs(4.0 * (tune_x - tune_y) * CG / len(dbpms))
print 'OldCMINUS', CG_old
fwqw['Global'] = [CG_new_abs, CG_new_phase, CG_new_abs_std]
return [fwqw, dbpms]
def get_free_phase_eq(MADTwiss, Files, Qd, Q, psid_ac2bpmac, plane, bd, op,
Qmdl):
#-- Select common BPMs
bpm = Utilities.bpm.model_intersect(Utilities.bpm.intersect(Files),
MADTwiss)
bpm = [(b[0], str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
if op == "1" and bd == 1:
s_lastbpm = MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
if op == "1" and bd == -1:
s_lastbpm = MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
#-- Determine the position of the AC dipole BPM
for b in psid_ac2bpmac.keys():
if '5L4' in b: bpmac1 = b
if '6L4' in b: bpmac2 = b
try:
k_bpmac = list(zip(*bpm)[1]).index(bpmac1)
bpmac = bpmac1
except:
try:
k_bpmac = list(zip(*bpm)[1]).index(bpmac2)
bpmac = bpmac2
except:
print >> sys.stderr, 'WARN: BPMs next to AC dipoles missing. AC dipole effects not calculated for ' + plane + ' with eqs !'
return [{}, 0.0, []]
#-- Model phase advances
if plane == 'H':
psimdl = np.array([MADTwiss.MUX[MADTwiss.indx[b[1]]] for b in bpm])
if plane == 'V':
psimdl = np.array([MADTwiss.MUY[MADTwiss.indx[b[1]]] for b in bpm])
psi12mdl = (np.append(psimdl[1:], psimdl[0] + Qmdl) - psimdl) % 1
psi13mdl = (np.append(psimdl[2:], psimdl[:2] + Qmdl) - psimdl) % 1
psi14mdl = (np.append(psimdl[3:], psimdl[:3] + Qmdl) - psimdl) % 1
psi15mdl = (np.append(psimdl[4:], psimdl[:4] + Qmdl) - psimdl) % 1
psi16mdl = (np.append(psimdl[5:], psimdl[:5] + Qmdl) - psimdl) % 1
psi17mdl = (np.append(psimdl[6:], psimdl[:6] + Qmdl) - psimdl) % 1
psi18mdl = (np.append(psimdl[7:], psimdl[:7] + Qmdl) - psimdl) % 1
psi19mdl = (np.append(psimdl[8:], psimdl[:8] + Qmdl) - psimdl) % 1
psi110mdl = (np.append(psimdl[9:], psimdl[:9] + Qmdl) - psimdl) % 1
psi111mdl = (np.append(psimdl[10:], psimdl[:10] + Qmdl) - psimdl) % 1
#-- Global parameters of the driven motion
r = sin(np.pi * (Qd - Q)) / sin(np.pi * (Qd + Q))
#-- Loop for files, psid, Psi, Psid are w.r.t the AC dipole
psi12all = np.zeros((len(bpm), len(Files)))
psi13all = np.zeros((len(bpm), len(Files)))
psi14all = np.zeros((len(bpm), len(Files)))
psi15all = np.zeros((len(bpm), len(Files)))
psi16all = np.zeros((len(bpm), len(Files)))
psi17all = np.zeros((len(bpm), len(Files)))
psi18all = np.zeros((len(bpm), len(Files)))
psi19all = np.zeros((len(bpm), len(Files)))
psi110all = np.zeros((len(bpm), len(Files)))
psi111all = np.zeros((len(bpm), len(Files)))
for i in range(len(Files)):
if plane == 'H':
psid = bd * 2 * np.pi * np.array(
[Files[i].MUX[Files[i].indx[b[1]]]
for b in bpm]) #-- bd flips B2 phase to B1 direction
if plane == 'V':
psid = bd * 2 * np.pi * np.array(
[Files[i].MUY[Files[i].indx[b[1]]]
for b in bpm]) #-- bd flips B2 phase to B1 direction
for k in range(len(bpm)):
try:
if bpm[k][0] > s_lastbpm:
psid[k] += 2 * np.pi * Qd #-- To fix the phase shift by Q
except:
pass
psid = psid - (psid[k_bpmac] - psid_ac2bpmac[bpmac])
Psid = psid + np.pi * Qd
Psid[k_bpmac:] = Psid[k_bpmac:] - 2 * np.pi * Qd
Psi = np.arctan((1 - r) / (1 + r) * np.tan(Psid)) % np.pi
for k in range(len(bpm)):
if Psid[k] % (2 * np.pi) > np.pi: Psi[k] = Psi[k] + np.pi
psi = Psi - Psi[0]
psi[k_bpmac:] = psi[k_bpmac:] + 2 * np.pi * Q
psi12 = (np.append(psi[1:], psi[0] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
#psi12=(np.append(psi[1:],psi[0])-psi)/(2*np.pi) #-- phase range back to [0,1)
psi13 = (np.append(psi[2:], psi[:2] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi14 = (np.append(psi[3:], psi[:3] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi15 = (np.append(psi[4:], psi[:4] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi16 = (np.append(psi[5:], psi[:5] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi17 = (np.append(psi[6:], psi[:6] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi18 = (np.append(psi[7:], psi[:7] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi19 = (np.append(psi[8:], psi[:8] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi110 = (np.append(psi[9:], psi[:9] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
psi111 = (np.append(psi[10:], psi[:10] + 2 * np.pi * Q) - psi) / (
2 * np.pi) #-- phase range back to [0,1)
for k in range(len(bpm)):
psi12all[k][i] = psi12[k]
psi13all[k][i] = psi13[k]
psi14all[k][i] = psi14[k]
psi15all[k][i] = psi15[k]
psi16all[k][i] = psi16[k]
psi17all[k][i] = psi17[k]
psi18all[k][i] = psi18[k]
psi19all[k][i] = psi19[k]
psi110all[k][i] = psi110[k]
psi111all[k][i] = psi111[k]
#-- Output
result = {}
muave = 0.0 #-- mu is the same as psi but w/o mod
for k in range(len(bpm)):
psi12ave = phase.calc_phase_mean(psi12all[k], 1)
psi12std = phase.calc_phase_std(psi12all[k], 1)
psi13ave = phase.calc_phase_mean(psi13all[k], 1)
psi13std = phase.calc_phase_std(psi13all[k], 1)
psi14ave = phase.calc_phase_mean(psi14all[k], 1)
psi14std = phase.calc_phase_std(psi14all[k], 1)
psi15ave = phase.calc_phase_mean(psi15all[k], 1)
psi15std = phase.calc_phase_std(psi15all[k], 1)
psi16ave = phase.calc_phase_mean(psi16all[k], 1)
psi16std = phase.calc_phase_std(psi16all[k], 1)
psi17ave = phase.calc_phase_mean(psi17all[k], 1)
psi17std = phase.calc_phase_std(psi17all[k], 1)
psi18ave = phase.calc_phase_mean(psi18all[k], 1)
psi18std = phase.calc_phase_std(psi18all[k], 1)
psi19ave = phase.calc_phase_mean(psi19all[k], 1)
psi19std = phase.calc_phase_std(psi19all[k], 1)
psi110ave = phase.calc_phase_mean(psi110all[k], 1)
psi110std = phase.calc_phase_std(psi110all[k], 1)
psi111ave = phase.calc_phase_mean(psi111all[k], 1)
psi111std = phase.calc_phase_std(psi111all[k], 1)
muave = muave + psi12ave
try:
result[bpm[k][1]] = [
psi12ave, psi12std, psi13ave, psi13std, psi12mdl[k],
psi13mdl[k], bpm[k + 1][1]
]
except:
result[bpm[k][1]] = [
psi12ave, psi12std, psi13ave, psi13std, psi12mdl[k],
psi13mdl[k], bpm[0][1]
] #-- The last BPM
bn1 = str.upper(bpm[k % len(bpm)][1])
bn2 = str.upper(bpm[(k + 1) % len(bpm)][1])
bn3 = str.upper(bpm[(k + 2) % len(bpm)][1])
bn4 = str.upper(bpm[(k + 3) % len(bpm)][1])
bn5 = str.upper(bpm[(k + 4) % len(bpm)][1])
bn6 = str.upper(bpm[(k + 5) % len(bpm)][1])
bn7 = str.upper(bpm[(k + 6) % len(bpm)][1])
bn8 = str.upper(bpm[(k + 7) % len(bpm)][1])
bn9 = str.upper(bpm[(k + 8) % len(bpm)][1])
bn10 = str.upper(bpm[(k + 9) % len(bpm)][1])
bn11 = str.upper(bpm[(k + 10) % len(bpm)][1])
if plane == 'H':
result["".join(['H', bn1,
bn2])] = [psi12ave, psi12std, psi12mdl[k]]
result["".join(['H', bn1,
bn3])] = [psi13ave, psi13std, psi13mdl[k]]
result["".join(['H', bn1,
bn4])] = [psi14ave, psi14std, psi14mdl[k]]
result["".join(['H', bn1,
bn5])] = [psi15ave, psi15std, psi15mdl[k]]
result["".join(['H', bn1,
bn6])] = [psi16ave, psi16std, psi16mdl[k]]
result["".join(['H', bn1,
bn7])] = [psi17ave, psi17std, psi17mdl[k]]
result["".join(['H', bn1,
bn8])] = [psi18ave, psi18std, psi18mdl[k]]
result["".join(['H', bn1,
bn9])] = [psi19ave, psi19std, psi19mdl[k]]
result["".join(['H', bn1,
bn10])] = [psi110ave, psi110std, psi110mdl[k]]
result["".join(['H', bn1,
bn11])] = [psi111ave, psi111std, psi111mdl[k]]
elif plane == 'V':
result["".join(['V', bn1,
bn2])] = [psi12ave, psi12std, psi12mdl[k]]
result["".join(['V', bn1,
bn3])] = [psi13ave, psi13std, psi13mdl[k]]
result["".join(['V', bn1,
bn4])] = [psi14ave, psi14std, psi14mdl[k]]
result["".join(['V', bn1,
bn5])] = [psi15ave, psi15std, psi15mdl[k]]
result["".join(['V', bn1,
bn6])] = [psi16ave, psi16std, psi16mdl[k]]
result["".join(['V', bn1,
bn7])] = [psi17ave, psi17std, psi17mdl[k]]
result["".join(['V', bn1,
bn8])] = [psi18ave, psi18std, psi18mdl[k]]
result["".join(['V', bn1,
bn9])] = [psi19ave, psi19std, psi19mdl[k]]
result["".join(['V', bn1,
bn10])] = [psi110ave, psi110std, psi110mdl[k]]
result["".join(['V', bn1,
bn11])] = [psi111ave, psi111std, psi111mdl[k]]
return [result, muave, bpm]
def get_free_phase_eq(MADTwiss,Files,Qd,Q,psid_ac2bpmac,plane,bd,op,Qmdl):
#-- Select common BPMs
bpm=Utilities.bpm.model_intersect(Utilities.bpm.intersect(Files),MADTwiss)
bpm=[(b[0],str.upper(b[1])) for b in bpm]
#-- Last BPM on the same turn to fix the phase shift by Q for exp data of LHC
if op=="1" and bd== 1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L2.B1']]
if op=="1" and bd==-1: s_lastbpm=MADTwiss.S[MADTwiss.indx['BPMSW.1L8.B2']]
#-- Determine the position of the AC dipole BPM
for b in psid_ac2bpmac.keys():
if '5L4' in b: bpmac1=b
if '6L4' in b: bpmac2=b
try:
k_bpmac=list(zip(*bpm)[1]).index(bpmac1)
bpmac=bpmac1
except:
try:
k_bpmac=list(zip(*bpm)[1]).index(bpmac2)
bpmac=bpmac2
except:
print >> sys.stderr,'WARN: BPMs next to AC dipoles missing. AC dipole effects not calculated for '+plane+' with eqs !'
return [{}, 0.0, []]
#-- Model phase advances
if plane=='H': psimdl=np.array([MADTwiss.MUX[MADTwiss.indx[b[1]]] for b in bpm])
if plane=='V': psimdl=np.array([MADTwiss.MUY[MADTwiss.indx[b[1]]] for b in bpm])
psi12mdl=(np.append(psimdl[1:],psimdl[0] +Qmdl)-psimdl)%1
psi13mdl=(np.append(psimdl[2:],psimdl[:2]+Qmdl)-psimdl)%1
psi14mdl=(np.append(psimdl[3:],psimdl[:3] +Qmdl)-psimdl)%1
psi15mdl=(np.append(psimdl[4:],psimdl[:4] +Qmdl)-psimdl)%1
psi16mdl=(np.append(psimdl[5:],psimdl[:5] +Qmdl)-psimdl)%1
psi17mdl=(np.append(psimdl[6:],psimdl[:6] +Qmdl)-psimdl)%1
psi18mdl=(np.append(psimdl[7:],psimdl[:7] +Qmdl)-psimdl)%1
psi19mdl=(np.append(psimdl[8:],psimdl[:8] +Qmdl)-psimdl)%1
psi110mdl=(np.append(psimdl[9:],psimdl[:9] +Qmdl)-psimdl)%1
psi111mdl=(np.append(psimdl[10:],psimdl[:10] +Qmdl)-psimdl)%1
#-- Global parameters of the driven motion
r=sin(np.pi*(Qd-Q))/sin(np.pi*(Qd+Q))
#-- Loop for files, psid, Psi, Psid are w.r.t the AC dipole
psi12all=np.zeros((len(bpm),len(Files)))
psi13all=np.zeros((len(bpm),len(Files)))
psi14all=np.zeros((len(bpm),len(Files)))
psi15all=np.zeros((len(bpm),len(Files)))
psi16all=np.zeros((len(bpm),len(Files)))
psi17all=np.zeros((len(bpm),len(Files)))
psi18all=np.zeros((len(bpm),len(Files)))
psi19all=np.zeros((len(bpm),len(Files)))
psi110all=np.zeros((len(bpm),len(Files)))
psi111all=np.zeros((len(bpm),len(Files)))
for i in range(len(Files)):
if plane=='H': psid=bd*2*np.pi*np.array([Files[i].MUX[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
if plane=='V': psid=bd*2*np.pi*np.array([Files[i].MUY[Files[i].indx[b[1]]] for b in bpm]) #-- bd flips B2 phase to B1 direction
for k in range(len(bpm)):
try:
if bpm[k][0]>s_lastbpm: psid[k]+=2*np.pi*Qd #-- To fix the phase shift by Q
except: pass
psid=psid-(psid[k_bpmac]-psid_ac2bpmac[bpmac])
Psid=psid+np.pi*Qd
Psid[k_bpmac:]=Psid[k_bpmac:]-2*np.pi*Qd
Psi=np.arctan((1-r)/(1+r)*np.tan(Psid))%np.pi
for k in range(len(bpm)):
if Psid[k]%(2*np.pi)>np.pi: Psi[k]=Psi[k]+np.pi
psi=Psi-Psi[0]
psi[k_bpmac:]=psi[k_bpmac:]+2*np.pi*Q
psi12=(np.append(psi[1:],psi[0] +2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
#psi12=(np.append(psi[1:],psi[0])-psi)/(2*np.pi) #-- phase range back to [0,1)
psi13=(np.append(psi[2:],psi[:2]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi14=(np.append(psi[3:],psi[:3]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi15=(np.append(psi[4:],psi[:4]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi16=(np.append(psi[5:],psi[:5]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi17=(np.append(psi[6:],psi[:6]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi18=(np.append(psi[7:],psi[:7]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi19=(np.append(psi[8:],psi[:8]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi110=(np.append(psi[9:],psi[:9]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
psi111=(np.append(psi[10:],psi[:10]+2*np.pi*Q)-psi)/(2*np.pi) #-- phase range back to [0,1)
for k in range(len(bpm)):
psi12all[k][i]=psi12[k]
psi13all[k][i]=psi13[k]
psi14all[k][i]=psi14[k]
psi15all[k][i]=psi15[k]
psi16all[k][i]=psi16[k]
psi17all[k][i]=psi17[k]
psi18all[k][i]=psi18[k]
psi19all[k][i]=psi19[k]
psi110all[k][i]=psi110[k]
psi111all[k][i]=psi111[k]
#-- Output
result={}
muave=0.0 #-- mu is the same as psi but w/o mod
for k in range(len(bpm)):
psi12ave = phase.calc_phase_mean(psi12all[k],1)
psi12std = phase.calc_phase_std(psi12all[k],1)
psi13ave = phase.calc_phase_mean(psi13all[k],1)
psi13std = phase.calc_phase_std(psi13all[k],1)
psi14ave = phase.calc_phase_mean(psi14all[k],1)
psi14std = phase.calc_phase_std(psi14all[k],1)
psi15ave = phase.calc_phase_mean(psi15all[k],1)
psi15std = phase.calc_phase_std(psi15all[k],1)
psi16ave = phase.calc_phase_mean(psi16all[k],1)
psi16std = phase.calc_phase_std(psi16all[k],1)
psi17ave = phase.calc_phase_mean(psi17all[k],1)
psi17std = phase.calc_phase_std(psi17all[k],1)
psi18ave = phase.calc_phase_mean(psi18all[k],1)
psi18std = phase.calc_phase_std(psi18all[k],1)
psi19ave = phase.calc_phase_mean(psi19all[k],1)
psi19std = phase.calc_phase_std(psi19all[k],1)
psi110ave = phase.calc_phase_mean(psi110all[k],1)
psi110std = phase.calc_phase_std(psi110all[k],1)
psi111ave = phase.calc_phase_mean(psi111all[k],1)
psi111std = phase.calc_phase_std(psi111all[k],1)
muave=muave+psi12ave
try: result[bpm[k][1]]=[psi12ave,psi12std,psi13ave,psi13std,psi12mdl[k],psi13mdl[k],bpm[k+1][1]]
except: result[bpm[k][1]]=[psi12ave,psi12std,psi13ave,psi13std,psi12mdl[k],psi13mdl[k],bpm[0][1]] #-- The last BPM
bn1 = str.upper(bpm[k%len(bpm)][1])
bn2 = str.upper(bpm[(k+1)%len(bpm)][1])
bn3 = str.upper(bpm[(k+2)%len(bpm)][1])
bn4 = str.upper(bpm[(k+3)%len(bpm)][1])
bn5 = str.upper(bpm[(k+4)%len(bpm)][1])
bn6 = str.upper(bpm[(k+5)%len(bpm)][1])
bn7 = str.upper(bpm[(k+6)%len(bpm)][1])
bn8 = str.upper(bpm[(k+7)%len(bpm)][1])
bn9 = str.upper(bpm[(k+8)%len(bpm)][1])
bn10 = str.upper(bpm[(k+9)%len(bpm)][1])
bn11 = str.upper(bpm[(k+10)%len(bpm)][1])
if plane=='H':
result["".join(['H',bn1,bn2])] = [psi12ave,psi12std,psi12mdl[k]]
result["".join(['H',bn1,bn3])] = [psi13ave,psi13std,psi13mdl[k]]
result["".join(['H',bn1,bn4])] = [psi14ave,psi14std,psi14mdl[k]]
result["".join(['H',bn1,bn5])] = [psi15ave,psi15std,psi15mdl[k]]
result["".join(['H',bn1,bn6])] = [psi16ave,psi16std,psi16mdl[k]]
result["".join(['H',bn1,bn7])] = [psi17ave,psi17std,psi17mdl[k]]
result["".join(['H',bn1,bn8])] = [psi18ave,psi18std,psi18mdl[k]]
result["".join(['H',bn1,bn9])] = [psi19ave,psi19std,psi19mdl[k]]
result["".join(['H',bn1,bn10])] = [psi110ave,psi110std,psi110mdl[k]]
result["".join(['H',bn1,bn11])] = [psi111ave,psi111std,psi111mdl[k]]
elif plane=='V':
result["".join(['V',bn1,bn2])] = [psi12ave,psi12std,psi12mdl[k]]
result["".join(['V',bn1,bn3])] = [psi13ave,psi13std,psi13mdl[k]]
result["".join(['V',bn1,bn4])] = [psi14ave,psi14std,psi14mdl[k]]
result["".join(['V',bn1,bn5])] = [psi15ave,psi15std,psi15mdl[k]]
result["".join(['V',bn1,bn6])] = [psi16ave,psi16std,psi16mdl[k]]
result["".join(['V',bn1,bn7])] = [psi17ave,psi17std,psi17mdl[k]]
result["".join(['V',bn1,bn8])] = [psi18ave,psi18std,psi18mdl[k]]
result["".join(['V',bn1,bn9])] = [psi19ave,psi19std,psi19mdl[k]]
result["".join(['V',bn1,bn10])] = [psi110ave,psi110std,psi110mdl[k]]
result["".join(['V',bn1,bn11])] = [psi111ave,psi111std,psi111mdl[k]]
return [result,muave,bpm]
def GetCoupling2(MADTwiss, list_zero_dpp_x, list_zero_dpp_y, tune_x, tune_y,
phasex, phasey, beam_direction, accel, outputpath):
# check linx/liny files, if it's OK it is confirmed that ListofZeroDPPX[i] and ListofZeroDPPY[i]
# come from the same (simultaneous) measurement. It might be redundant check.
if len(list_zero_dpp_x) != len(list_zero_dpp_y):
print >> sys.stderr, 'Leaving GetCoupling as linx and liny files seem not correctly paired...'
dum0 = {"Global": [0.0, 0.0]}
dum1 = []
return [dum0, dum1]
XplusY = list_zero_dpp_x + list_zero_dpp_y
dbpms = Utilities.bpm.intersect(XplusY)
dbpms = Utilities.bpm.model_intersect(dbpms, MADTwiss)
# caculate fw and qw, exclude bpms having wrong phases
fwqw = {}
dbpmt = []
countBadPhase = 0
for i in range(0, len(dbpms) - 1):
bn1 = str.upper(dbpms[i][1])
bn2 = str.upper(dbpms[i + 1][1])
delx = phasex[bn1][0] - 0.25 # Missprint in the coupling note
dely = phasey[bn1][0] - 0.25
f1001ij = []
f1010ij = []
q1js = []
q2js = []
q1jd = []
q2jd = []
badbpm = 0
for j in range(0, len(list_zero_dpp_x)):
tw_x = list_zero_dpp_x[j]
tw_y = list_zero_dpp_y[j]
[SA0p1ij, phi0p1ij] = helper.ComplexSecondaryLine(
delx, tw_x.AMP01[tw_x.indx[bn1]], tw_x.AMP01[tw_x.indx[bn2]],
tw_x.PHASE01[tw_x.indx[bn1]], tw_x.PHASE01[tw_x.indx[bn2]])
[SA0m1ij, phi0m1ij] = helper.ComplexSecondaryLine(
delx, tw_x.AMP01[tw_x.indx[bn1]], tw_x.AMP01[tw_x.indx[bn2]],
-tw_x.PHASE01[tw_x.indx[bn1]], -tw_x.PHASE01[tw_x.indx[bn2]])
[TBp10ij, phip10ij] = helper.ComplexSecondaryLine(
dely, tw_y.AMP10[tw_y.indx[bn1]], tw_y.AMP10[tw_y.indx[bn2]],
tw_y.PHASE10[tw_y.indx[bn1]], tw_y.PHASE10[tw_y.indx[bn2]])
[TBm10ij, phim10ij] = helper.ComplexSecondaryLine(
dely, tw_y.AMP10[tw_y.indx[bn1]], tw_y.AMP10[tw_y.indx[bn2]],
-tw_y.PHASE10[tw_y.indx[bn1]], -tw_y.PHASE10[tw_y.indx[bn2]])
#print SA0p1ij,phi0p1ij,SA0m1ij,phi0m1ij,TBp10ij,phip10ij,TBm10ij,phim10ij
f1001ij.append(0.5 * math.sqrt(TBp10ij * SA0p1ij / 2.0 / 2.0))
f1010ij.append(0.5 * math.sqrt(TBm10ij * SA0m1ij / 2.0 / 2.0))
if beam_direction == 1:
q1jd.append((phi0p1ij - tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2jd.append(
(-phip10ij + tw_x.MUX[tw_x.indx[bn1]] - 0.25) % 1.0)
elif beam_direction == -1:
q1jd.append((phi0p1ij - tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2jd.append(-(-phip10ij + tw_x.MUX[tw_x.indx[bn1]] - 0.25) %
1.0)
#print q1,q2
q1jd[j] = (
0.5 - q1jd[j]
) % 1.0 # This sign change in the real part is to comply with MAD output
q2jd[j] = (0.5 - q2jd[j]) % 1.0
if beam_direction == 1:
q1js.append((phi0m1ij + tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2js.append((phim10ij + tw_x.MUX[tw_x.indx[bn1]] + 0.25) % 1.0)
if beam_direction == -1:
q1js.append((phi0m1ij + tw_y.MUY[tw_y.indx[bn1]] + 0.25) %
1.0) # note that phases are in units of 2pi
q2js.append(-(phim10ij + tw_x.MUX[tw_x.indx[bn1]] + 0.25) %
1.0)
#print q1,q2
q1js[j] = (
0.5 - q1js[j]
) % 1.0 # This sign change in the real part is to comply with MAD output
q2js[j] = (0.5 - q2js[j]) % 1.0
q1jd = np.array(q1jd)
q2jd = np.array(q2jd)
q1d = phase.calc_phase_mean(q1jd, 1.0)
q2d = phase.calc_phase_mean(q2jd, 1.0)
q1js = np.array(q1js)
q2js = np.array(q2js)
q1s = phase.calc_phase_mean(q1js, 1.0)
q2s = phase.calc_phase_mean(q2js, 1.0)
if min(abs(q1d - q2d), 1.0 - abs(q1d - q2d)) > 0.25 or min(
abs(q1s - q2s), 1.0 - abs(q1s - q2s)) > 0.25:
badbpm = 1
countBadPhase += 1
if (accel == "SPS" or accel == "RHIC"):
# No check for the SPS or RHIC
badbpm = 0
q1010i = q1d
q1010i = q1s
countBadPhase += 1
if badbpm == 0:
f1001ij = np.array(f1001ij)
f1001i = np.average(f1001ij)
f1001istd = math.sqrt(
np.average(f1001ij * f1001ij) - (np.average(f1001ij))**2.0 +
2.2e-16)
f1010ij = np.array(f1010ij)
f1010i = np.average(f1010ij)
f1010istd = math.sqrt(
np.average(f1010ij * f1010ij) - (np.average(f1010ij))**2.0 +
2.2e-16)
q1001i = phase.calc_phase_mean(np.array([q1d, q2d]), 1.0)
q1010i = phase.calc_phase_mean(np.array([q1s, q2s]), 1.0)
q1001istd = phase.calc_phase_std(np.append(q1jd, q2jd), 1.0)
q1010istd = phase.calc_phase_std(np.append(q1js, q2js), 1.0)
f1001i = f1001i * complex(np.cos(2.0 * np.pi * q1001i),
np.sin(2.0 * np.pi * q1001i))
f1010i = f1010i * complex(np.cos(2.0 * np.pi * q1010i),
np.sin(2.0 * np.pi * q1010i))
dbpmt.append([dbpms[i][0], dbpms[i][1]])
if beam_direction == 1:
fwqw[bn1] = [[f1001i, f1001istd, f1010i, f1010istd],
[q1001i, q1001istd, q1010i, q1010istd]]
elif beam_direction == -1:
fwqw[bn1] = [[f1010i, f1010istd, f1001i, f1001istd],
[q1010i, q1010istd, q1001i, q1001istd]]
dbpms = dbpmt
# compute global values
CG = 0.0
QG = 0.0
CG_new = complex(0, 0)
sumDiffDistance = 0
count = 0
for i in range(0, len(dbpms) - 2):
bn1 = str.upper(dbpms[i][1])
bn2 = str.upper(dbpms[i + 1][1])
theInd_1 = MADTwiss.indx[bn1]
theInd_2 = MADTwiss.indx[bn2]
s1 = (MADTwiss.S[theInd_1])
s2 = (MADTwiss.S[theInd_2])
mux = MADTwiss.MUX[theInd_1]
muy = MADTwiss.MUY[theInd_1]
CG_new = CG_new + complex(fwqw[bn2][0][0].real,
fwqw[bn2][0][0].imag) * np.exp(
complex(0, 1) * 2 * np.pi * (mux - muy))
#sumDiffDistance = sumDiffDistance + abs((s1-s2))
CG_new_abs = 4 * abs(tune_x - tune_y) * abs(CG_new) / (len(dbpms))
CG_new_phase = np.angle(CG_new)
print 'NewCMINUS', CG_new_abs
for i in range(0, len(dbpms) - 1):
tw_x = list_zero_dpp_x[0]
tw_y = list_zero_dpp_y[0]
bn1 = str.upper(dbpms[i][1])
CG += abs(fwqw[bn1][0][0])
QG += fwqw[bn1][1][0] - (tw_x.MUX[tw_x.indx[bn1]] -
tw_y.MUY[tw_y.indx[bn1]])
# find operation point
sign_QxmQy = _find_sign_QxmQy(outputpath, tune_x, tune_y)
if len(dbpms) == 0:
print >> sys.stderr, 'Warning: There is no BPM to output linear coupling properly... leaving Getcoupling.'
fwqw['Global'] = [CG, QG] #Quick fix Evian 2012
return [fwqw, dbpms]
else:
CG_old = abs(4.0 * (tune_x - tune_y) * CG / len(dbpms))
print 'OldCMINIS', CG_old
fwqw['Global'] = [CG_new_abs, CG_new_phase]
return [fwqw, dbpms]
def GetCoupling2(MADTwiss, list_zero_dpp_x, list_zero_dpp_y, tune_x, tune_y, phasex, phasey, beam_direction, accel, outputpath):
"""Calculate coupling and phase with 2-BPM method for all BPMs and overall
INPUT
MADTwiss - twiss instance of model from MAD
list_zero_dpp_x - list with twiss objects for horizontal data
list_zero_dpp_y - list with twiss objects for vertical data
tune_x - horizontal tune (use natural/free tunes!)
tune_y - vertical tune (use natural/free tunes!)
phasex - horizontal phase (usage with phase.py in algorithms)
phasey - vertical phase (usage with phase.py in algorithms)
beam_direction - direction of beam, LHCB1: 1, LHCB2: -1
accel - accelerator (LHCB1, LHCB2, LHCB4(?), SPS, RHIC,TEVATRON)
outputpath - directory which contains the Drive.inp file to determine operation point
OUTPUT
fwqw - library with BPMs and corresponding results
dbpms - list of BPMs with correct phase
"""
### Prepare BPM lists ###
# Check linx/liny files, if it's OK it is confirmed that ListofZeroDPPX[i] and ListofZeroDPPY[i]
# come from the same (simultaneous) measurement. It might be redundant check.
if len(list_zero_dpp_x) != len(list_zero_dpp_y):
print >> sys.stderr, 'Leaving GetCoupling as linx and liny files seem not correctly paired...'
dum0 = {"Global": [0.0, 0.0]}
dum1 = []
return [dum0, dum1]
# Determine intersection of BPM-lists between measurement and model, create list dbpms
XplusY = list_zero_dpp_x + list_zero_dpp_y
dbpms = Utilities.bpm.intersect(XplusY)
dbpms = Utilities.bpm.model_intersect(dbpms, MADTwiss)
### Calculate fw and qw, exclude BPMs having wrong phases ###
# Initialize dictionary of BPMs with results
fwqw = {}
# Initialize dictionary of BPMs with results for old method
f_old_out = {}
# Initialize list of BPMs with correct phases
dbpmt = []
# Count number of BPM-pairs in intersection of model and measurement
Numbpmpairs = len(dbpms) - 1
# Loop through BPM-pairs
for i in range(Numbpmpairs):
# Get BPM names
bn1 = str.upper(dbpms[i][1])
bn2 = str.upper(dbpms[i + 1][1])
delx = phasex[bn1][0] - 0.25 # Missprint in the coupling note
dely = phasey[bn1][0] - 0.25
# Initialize result-lists (coupling, error on coupling and phases)
f1001ij = []
f1010ij = []
std_f1001ij = []
std_f1010ij = []
q1js = []
q2js = []
q1jd = []
q2jd = []
# Initialize as not bad BPM
badbpm = 0
# Loop through files to analyze
for j in range(0, len(list_zero_dpp_x)):
# Get twiss instance for current BPM and file
tw_x = list_zero_dpp_x[j]
tw_y = list_zero_dpp_y[j]
# Get main amplitude
[ampx_1, ampy_1] = [tw_x.AMPX[tw_x.indx[bn1]], tw_y.AMPY[tw_y.indx[bn1]]]
[ampx_2, ampy_2] = [tw_x.AMPX[tw_x.indx[bn2]], tw_y.AMPY[tw_y.indx[bn2]]]
# Exclude BPM if no main line was found
if ampx_1 == 0 or ampy_1 == 0 or ampx_2 == 0 or ampy_2 == 0:
badbpm = 1
ampx_1 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
ampy_1 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
ampx_2 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
ampy_2 = 1 # Dummy value, badbpm variable makes sure the BPM is ignored
# Get coupled amplitude ratios
[amp01_1, amp10_1] = [tw_x.AMP01[tw_x.indx[bn1]], tw_y.AMP10[tw_y.indx[bn1]]]
[amp01_2, amp10_2] = [tw_x.AMP01[tw_x.indx[bn2]], tw_y.AMP10[tw_y.indx[bn2]]]
# Replace secondary lines with amplitude infinity or 0 by noise average
try:
if amp01_1 == float("inf") or amp01_1 == 0:
amp01_1 = tw_x.AVG_NOISE[tw_x.indx[bn1]] / ampx_1
if amp10_1 == float("inf") or amp10_1 == 0:
amp10_1 = tw_y.AVG_NOISE[tw_y.indx[bn1]] / ampy_1
if amp01_2 == float("inf") or amp01_2 == 0:
amp01_2 = tw_x.AVG_NOISE[tw_x.indx[bn1]] / ampx_2
if amp10_2 == float("inf") or amp10_2 == 0:
amp10_2 = tw_y.AVG_NOISE[tw_y.indx[bn1]] / ampy_2
except AttributeError:
print "AVG_NOISE column not found, cannot use noise floor."
# Call routine in helper.py to get secondary lines for 2-BPM method
[SA0p1ij,phi0p1ij] = helper.ComplexSecondaryLine(delx, amp01_1, amp01_2,
tw_x.PHASE01[tw_x.indx[bn1]], tw_x.PHASE01[tw_x.indx[bn2]])
[SA0m1ij,phi0m1ij] = helper.ComplexSecondaryLine(delx, amp01_1, amp01_2,
-tw_x.PHASE01[tw_x.indx[bn1]], -tw_x.PHASE01[tw_x.indx[bn2]])
[TBp10ij,phip10ij] = helper.ComplexSecondaryLine(dely, amp10_1, amp10_2,
tw_y.PHASE10[tw_y.indx[bn1]], tw_y.PHASE10[tw_y.indx[bn2]])
[TBm10ij,phim10ij] = helper.ComplexSecondaryLine(dely, amp10_1, amp10_2,
-tw_y.PHASE10[tw_y.indx[bn1]], -tw_y.PHASE10[tw_y.indx[bn2]])
# Get noise standard deviation and propagate to coupled amplitude ratio
std_amp01_1 = tw_x.NOISE[tw_x.indx[bn1]]/ampx_1*math.sqrt(1+amp01_1**2)
std_amp10_1 = tw_y.NOISE[tw_y.indx[bn1]]/ampy_1*math.sqrt(1+amp10_1**2)
std_amp01_2 = tw_x.NOISE[tw_x.indx[bn2]]/ampx_2*math.sqrt(1+amp01_2**2)
std_amp10_2 = tw_y.NOISE[tw_y.indx[bn2]]/ampy_2*math.sqrt(1+amp10_2**2)
# Propagate to 2-BPM coupled amplitude ratio using a separate routine in helper.py
std_SA0p1ij = helper.ComplexSecondaryLineSTD(delx, amp01_1, amp01_2,
tw_x.PHASE01[tw_x.indx[bn1]], tw_x.PHASE01[tw_x.indx[bn2]], std_amp01_1, std_amp01_2)
std_SA0m1ij = helper.ComplexSecondaryLineSTD(delx, amp01_1, amp01_2,
-tw_x.PHASE01[tw_x.indx[bn1]], -tw_x.PHASE01[tw_x.indx[bn2]], std_amp01_1, std_amp01_2)
std_TBp10ij = helper.ComplexSecondaryLineSTD(dely, amp10_1, amp10_2,
tw_y.PHASE10[tw_y.indx[bn1]], tw_y.PHASE10[tw_y.indx[bn2]], std_amp10_1, std_amp10_2)
std_TBm10ij = helper.ComplexSecondaryLineSTD(dely, amp10_1, amp10_2,
-tw_y.PHASE10[tw_y.indx[bn1]], -tw_y.PHASE10[tw_y.indx[bn2]], std_amp10_1, std_amp10_2)
# Append results for the coupling parameters
f1001ij.append(0.5*math.sqrt(TBp10ij*SA0p1ij/2.0/2.0)) # division by 2 for each ratio as the scale of the #
f1010ij.append(0.5*math.sqrt(TBm10ij*SA0m1ij/2.0/2.0)) # main lines is 2 (also see appendix of the note) #
# Propagate error to f1001 and f1010 if possible (no division by 0)
if TBp10ij==0 or SA0p1ij==0:
std_f1001ij.append(float("nan"))
else:
std_f1001ij.append(0.25*math.sqrt(4.0/TBp10ij/SA0p1ij)*math.sqrt((std_TBp10ij*SA0p1ij/4)**2+(TBp10ij*std_SA0p1ij/4)**2))
if TBm10ij==0 or SA0m1ij==0:
std_f1010ij.append(float("nan"))
else:
std_f1010ij.append(0.25*math.sqrt(4.0/TBm10ij/SA0m1ij)*math.sqrt((std_TBm10ij*SA0m1ij/4)**2+(TBm10ij*std_SA0m1ij/4)**2))
if beam_direction == 1:
q1jd.append((phi0p1ij-tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2jd.append((-phip10ij+tw_x.MUX[tw_x.indx[bn1]]-0.25)%1.0)
elif beam_direction == -1:
q1jd.append((phi0p1ij-tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2jd.append(-(-phip10ij+tw_x.MUX[tw_x.indx[bn1]]-0.25)%1.0)
# This sign change in the real part is to comply with MAD output
q1jd[j] = (0.5-q1jd[j])%1.0
q2jd[j] = (0.5-q2jd[j])%1.0
if beam_direction==1:
q1js.append((phi0m1ij+tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2js.append((phim10ij+tw_x.MUX[tw_x.indx[bn1]]+0.25)%1.0)
if beam_direction==-1:
q1js.append((phi0m1ij+tw_y.MUY[tw_y.indx[bn1]]+0.25)%1.0) # note that phases are in units of 2pi
q2js.append(-(phim10ij+tw_x.MUX[tw_x.indx[bn1]]+0.25)%1.0)
# This sign change in the real part is to comply with MAD output
q1js[j] = (0.5-q1js[j])%1.0
q2js[j] = (0.5-q2js[j])%1.0
q1jd = np.array(q1jd)
q2jd = np.array(q2jd)
q1d = phase.calc_phase_mean(q1jd,1.0)
q2d = phase.calc_phase_mean(q2jd,1.0)
q1js = np.array(q1js)
q2js = np.array(q2js)
q1s = phase.calc_phase_mean(q1js,1.0)
q2s = phase.calc_phase_mean(q2js,1.0)
# Take SPS and RHIC out of the badbpm procedure (badbpm stays 0 as initialized) and set phases
if (accel == "SPS" or accel == "RHIC"):
q1010i = q1d
q1010i = q1s
# Check phase and set badbpm for wrong phase (only for other accels than SPS and RHIC)
elif min(abs(q1d-q2d),1.0-abs(q1d-q2d))>0.25 or min(abs(q1s-q2s),1.0-abs(q1s-q2s))>0.25:
badbpm = 1
# If accel is SPS or RHIC or no no wrong phase was detected, process results
if badbpm==0:
# Cast coupling parameters and errors as np.arrays for later calculations
f1001ij = np.array(f1001ij)
f1010ij = np.array(f1010ij)
std_f1001ij = np.array(std_f1001ij)
std_f1010ij = np.array(std_f1010ij)
# Old cminus method: averaging abs values
if beam_direction==1:
f_old_out[bn1] = np.average(abs(f1001ij), weights=1/std_f1001ij**2)
elif beam_direction==-1:
f_old_out[bn1] = np.average(abs(f1010ij), weights=1/std_f1010ij**2)
# Use variance-weighted average to determine f and its std
f1001i = np.average(f1001ij, weights=1/std_f1001ij**2)
f1010i = np.average(f1010ij, weights=1/std_f1010ij**2)
# Set std of f1001 and f1010 by calculating the std of the weighted average
f1001istd = np.sqrt(1/sum(1/std_f1001ij**2))
f1010istd = np.sqrt(1/sum(1/std_f1010ij**2))
# Use routines in phase.py to get mean and std of the phase terms q1001 and q1010
q1001i = phase.calc_phase_mean(np.array([q1d,q2d]),1.0)
q1010i = phase.calc_phase_mean(np.array([q1s,q2s]),1.0)
q1001istd = phase.calc_phase_std(np.append(q1jd,q2jd),1.0)
q1010istd = phase.calc_phase_std(np.append(q1js,q2js),1.0)
# Calculate complex coupling terms using phases from above
f1001i = f1001i*complex(np.cos(2.0*np.pi*q1001i),np.sin(2.0*np.pi*q1001i))
f1010i = f1010i*complex(np.cos(2.0*np.pi*q1010i),np.sin(2.0*np.pi*q1010i))
# Add BPM to list of BPMs with correct phase
dbpmt.append([dbpms[i][0],dbpms[i][1]])
# Save results to BPM-results dictionary, sorted depending on beam_direction
if beam_direction==1:
fwqw[bn1] = [[f1001i,f1001istd,f1010i,f1010istd],[q1001i,q1001istd,q1010i,q1010istd]]
elif beam_direction==-1:
fwqw[bn1] = [[f1010i,f1010istd,f1001i,f1001istd],[q1010i,q1010istd,q1001i,q1001istd]]
# Count number of skipped BPMs because of wrong phase
Badbpms = len(dbpms)-len(dbpmt)
# Rename list of BPMs with correct phase
dbpms = dbpmt
# Compute global values for coupling, error and phase
# Initialize coupling term f
f_new = complex(0,0)
# Initialize denominator for weighted averaging
denom = 0
# Loop through BPMs with correct phase
for i in range(0,len(dbpms)-1):
# Get BPM-names
bn1 = str.upper(dbpms[i][1])
bn2 = str.upper(dbpms[i+1][1])
mux = MADTwiss.MUX[MADTwiss.indx[bn1]]
muy = MADTwiss.MUY[MADTwiss.indx[bn2]]
f_new += fwqw[bn2][0][0]*np.exp(complex(0,1)*2*np.pi*(mux-muy))/fwqw[bn2][0][1]**2 # Variance-weighted average for BPMs
denom += 1/fwqw[bn2][0][1]**2 # denominator for weighted average
N = len(dbpms)
f_new_std = np.sqrt(1/denom)
CG_new_abs = 4*abs(tune_x-tune_y)*abs(f_new)/denom
CG_new_abs_std = 4*abs(tune_x-tune_y)*abs(f_new_std)
CG_new_phase = np.angle(f_new)
print('NewCMINUS: {0} +/- {1}'.format(CG_new_abs, CG_new_abs_std))
print('Skipped BPMs: {0} (badbpm) of {1}'.format(Badbpms, Numbpmpairs))
# Old formula
# Initialize global values coupling CG and phse QG
CG = 0.0
QG = 0.0
for i in range(0,len(dbpms)-1):
bn1 = str.upper(dbpms[i][1])
CG += abs(f_old_out[bn1])
# For more than one file, this goes wrong, loops are mixed up for the phase calculation!
tw_x = list_zero_dpp_x[0]
tw_y = list_zero_dpp_y[0]
QG += fwqw[bn1][1][0]-(tw_x.MUX[tw_x.indx[bn1]]-tw_y.MUY[tw_y.indx[bn1]])
if len(dbpms)==0:
print >> sys.stderr, 'Warning: There is no BPM to output linear coupling properly... leaving Getcoupling.'
# Does this set a coupling without prefactor 4*(Qx-Qy) to global?
fwqw['Global']=[CG,QG] #Quick fix Evian 2012
return [fwqw,dbpms]
else:
CG_old = abs(4.0*(tune_x-tune_y)*CG/len(dbpms))
print 'OldCMINUS' ,CG_old
fwqw['Global'] = [CG_new_abs,CG_new_phase,CG_new_abs_std]
return [fwqw,dbpms]