Ejemplo n.º 1
0
	def __init__(self, name = "baserfgap"):
		"""
		Constructor for the simplest RF gap. 
		E0L and E0TL parameters are in GeV. Phases are in radians.
		"""
		AbstractRF_Gap.__init__(self,name)
		self.addParam("E0TL",0.)
		self.addParam("mode",0.)		
		self.addParam("gap_phase",0.)
		self.addParam("rfCavity", None)
		#----- TTF model params ------
		self.addParam("E0L",0.)	
		self.polyT = Polynomial(0)
		self.polyT.coefficient(0,1.0)
		self.polyS = Polynomial(0)
		self.polyS.coefficient(0,0.0)
		self.polyTp = Polynomial(0)
		self.polyTp.coefficient(0,0.0)
		self.polySp = Polynomial(0)
		self.polySp.coefficient(0,0.0)
		self.addParam("beta_min",0.)
		self.addParam("beta_max",1.)
		#-----------------------------
		self.addParam("rfCavity",None)
		self.addParam("EzFile","no_file")
		self.setType("baserfgap")	
		self.__isFirstGap = False
		self.cppGapModel = MatrixRfGap()
		self.cppGapModel = BaseRfGap()
		self.cppGapModel = RfGapTTF()
Ejemplo n.º 2
0
 def __init__(self, order):
     """ The calss to fit Function or SplineCH with a polynomial. """
     self.order = order
     self.polynomial = Polynomial()
     #self.coef_err_arr is a final array with coef_arr and err_arr for polinomial coefficients
     self.coef_err_arr = []
     #self.x_y_err_arr is initial data with (x,y,y_err) points
     self.x_y_err_arr = []
def split_polynom_coeffs(ln):
	res_arr = ln.split()
	coeff_arr = []
	count = 0
	for i in range(4,len(res_arr),3):
		val = float(res_arr[i])
		coeff_arr.append(val)
		#print "debug i=",count," val=",val
		count += 1
	poly = Polynomial(len(coeff_arr)-1)
	for i in range(len(coeff_arr)):
		poly.coefficient(i,coeff_arr[i])
	return poly
Ejemplo n.º 4
0
def split_polynom_coeffs(ln):
    res_arr = ln.split()
    coeff_arr = []
    count = 0
    for i in range(4, len(res_arr), 3):
        val = float(res_arr[i])
        coeff_arr.append(val)
        #print "debug i=",count," val=",val
        count += 1
    poly = Polynomial(len(coeff_arr) - 1)
    for i in range(len(coeff_arr)):
        poly.coefficient(i, coeff_arr[i])
    return poly
Ejemplo n.º 5
0
	def __init__(self, name = "baserfgap"):
		"""
		Constructor for the simplest RF gap. 
		E0L and E0TL parameters are in GeV. Phases are in radians.
		"""
		AbstractRF_Gap.__init__(self,name)		
		self.addParam("E0TL",0.)
		self.addParam("mode",0.)		
		self.addParam("gap_phase",0.)
		self.addParam("rfCavity", None)
		#----- TTF model params ------
		self.addParam("E0L",0.)	
		self.polyT = Polynomial(0)
		self.polyT.coefficient(0,1.0)
		self.polyS = Polynomial(0)
		self.polyS.coefficient(0,0.0)
		self.polyTp = Polynomial(0)
		self.polyTp.coefficient(0,0.0)
		self.polySp = Polynomial(0)
		self.polySp.coefficient(0,0.0)
		self.addParam("beta_min",0.)
		self.addParam("beta_max",1.)
		#-----------------------------
		self.addParam("rfCavity",None)
		self.addParam("EzFile","no_file")
		self.setType("baserfgap")	
		self.__isFirstGap = False
		#---- by default we use the TTF model 
		#---- which is a Transit-Time-Factor model from Parmila
		#self.cppGapModel = MatrixRfGap()
		#self.cppGapModel = BaseRfGap()
		self.cppGapModel = RfGapTTF()
Ejemplo n.º 6
0
	def __init__(self,order):
		""" The calss to fit Function or SplineCH with a polynomial. """
		self.order = order
		self.polynomial = Polynomial()
		#self.coef_err_arr is a final array with coef_arr and err_arr for polinomial coefficients
		self.coef_err_arr = []
		#self.x_y_err_arr is initial data with (x,y,y_err) points
		self.x_y_err_arr = []
Ejemplo n.º 7
0
 def getPolynomial(self):
     """ It returns an unbounded polynomial. """
     polynomial = Polynomial()
     self.polynomial.copyTo(polynomial)
     return polynomial
Ejemplo n.º 8
0
class PolynomialFit:
    def __init__(self, order):
        """ The calss to fit Function or SplineCH with a polynomial. """
        self.order = order
        self.polynomial = Polynomial()
        #self.coef_err_arr is a final array with coef_arr and err_arr for polinomial coefficients
        self.coef_err_arr = []
        #self.x_y_err_arr is initial data with (x,y,y_err) points
        self.x_y_err_arr = []

    def getPolynomial(self):
        """ It returns an unbounded polynomial. """
        polynomial = Polynomial()
        self.polynomial.copyTo(polynomial)
        return polynomial

    def getCoefficientsAndErr(self):
        """ It returns the list of coefficients and their errors """
        return self.coef_err_arr

    def getCoefficients(self):
        """ Returns the list of coefficients of the polynomial """
        coef_arr = []
        for i in range(len(self.coef_err_arr)):
            [coef, err] = self.coef_err_arr[i]
            coef_arr.append(coef)
        return coef_arr

    def fitFunction(self, function):
        """ Fit the Function instance """
        self.x_y_err_arr = []
        for i in range(function.getSize()):
            x = function.x(i)
            y = function.y(i)
            err = function.err(i)
            self.x_y_err_arr.append([x, y, err])
        self._makePolynomial()

    def fitSpline(self, spline):
        """ Fit the SplineCH instance """
        self.x_y_err_arr = []
        for i in range(spline.getSize()):
            x = spline.x(i)
            y = spline.y(i)
            err = 0.
            self.x_y_err_arr.append([x, y, err])
        self._makePolynomial()

    def _makePolynomial(self):
        nPoints = len(self.x_y_err_arr)
        if (nPoints < (self.order + 1)):
            self.order = nPoints - 1
        #check if just one of errors is zero
        infoZeroErr = 1.0
        for [x, y, err] in self.x_y_err_arr:
            infoZeroErr *= err
        for i in range(nPoints):
            [x, y, err] = self.x_y_err_arr[i]
            sigma = 1.0
            if (infoZeroErr != 0.):
                sigma = 1.0 / (err * err)
            self.x_y_err_arr[i][2] = sigma
        #now make A matrix
        aMatr = Matrix(nPoints, self.order + 1)
        for i in range(nPoints):
            for j in range(self.order + 1):
                x = self.x_y_err_arr[i][0]
                aMatr.set(i, j, math.pow(x, j))
        aTCa = Matrix(self.order + 1, self.order + 1)
        for i in range(self.order + 1):
            for j in range(self.order + 1):
                a = 0.
                for k in range(nPoints):
                    sigma = self.x_y_err_arr[k][2]
                    a += aMatr.get(k, i) * sigma * aMatr.get(k, j)
                aTCa.set(i, j, a)
        #now the resuting coefficients and errors
        aTCaI = aTCa.invert()
        e = aTCaI.mult(aTCa)
        if (aTCa == None):
            print "python PolynomialFit: Problem with data."
            for i in range(nPoints):
                x = self.x_y_err_arr[i][0]
                y = self.x_y_err_arr[i][1]
                err = self.x_y_err_arr[i][2]
                print " x,y,err = %12.5g %12.5g %12.5g " % (x, y, err)
            print "Stop."
            sys.exit(1)
        coef_arr = [0.] * (self.order + 1)
        err_arr = [0.] * (self.order + 1)
        for i in range(self.order + 1):
            err_arr[i] = math.sqrt(math.fabs(aTCaI.get(i, i)))
        for i in range(self.order + 1):
            coef_arr[i] = 0.
            for j in range(self.order + 1):
                for k in range(nPoints):
                    sigma = self.x_y_err_arr[k][2]
                    y = self.x_y_err_arr[k][1]
                    coef_arr[i] += aTCaI.get(i, j) * aMatr.get(k,
                                                               j) * sigma * y
        # polinimial coefficients are found
        self.polynomial.order(self.order)
        for i in range(len(coef_arr)):
            self.polynomial.coefficient(i, coef_arr[i])
        # now let's calculate errors
        if (infoZeroErr == 0.):
            total_sigma = 0.
            for k in range(nPoints):
                x = self.x_y_err_arr[k][0]
                y = self.x_y_err_arr[k][1]
                total_sigma += (self.polynomial.value(x) - y)**2
            total_sigma = math.sqrt(total_sigma / (nPoints - 2))
            for i in range(len(err_arr)):
                err_arr[i] *= total_sigma
        # set the resulting coefficients and errors array
        self.coef_err_arr = [coef_arr, err_arr]
Ejemplo n.º 9
0
class BaseRF_Gap(AbstractRF_Gap):
	"""
	The simplest RF gap representation. The only E0*T*L or E0*L and TTFs define 
	all effects of the node. By default the Matrix RF Gap model is used. 
	This model can be replaced later with a more complex RF gap model by using 
	the setCppGapModel(...) method. User should provide the necessary parameters
	for each type of RF gap model.
	MatrixRfGap - E0TL, mode
	BaseRfGap - E0TL, mode
	RfGapTTF - E0L, T,S,Tp,Sp, beta_min, beta_max
	The phase of the first gap in the cavity is defined by the parent cavity instance.
	The relative amplitude is also defined by the parent cavity instance.
	The 'mode' parameter is a shift of the phase between two gaps in PI units.
	"""
	def __init__(self, name = "baserfgap"):
		"""
		Constructor for the simplest RF gap. 
		E0L and E0TL parameters are in GeV. Phases are in radians.
		"""
		AbstractRF_Gap.__init__(self,name)		
		self.addParam("E0TL",0.)
		self.addParam("mode",0.)		
		self.addParam("gap_phase",0.)
		self.addParam("rfCavity", None)
		#----- TTF model params ------
		self.addParam("E0L",0.)	
		self.polyT = Polynomial(0)
		self.polyT.coefficient(0,1.0)
		self.polyS = Polynomial(0)
		self.polyS.coefficient(0,0.0)
		self.polyTp = Polynomial(0)
		self.polyTp.coefficient(0,0.0)
		self.polySp = Polynomial(0)
		self.polySp.coefficient(0,0.0)
		self.addParam("beta_min",0.)
		self.addParam("beta_max",1.)
		#-----------------------------
		self.addParam("rfCavity",None)
		self.addParam("EzFile","no_file")
		self.setType("baserfgap")	
		self.__isFirstGap = False
		#---- by default we use the TTF model 
		#---- which is a Transit-Time-Factor model from Parmila
		#self.cppGapModel = MatrixRfGap()
		#self.cppGapModel = BaseRfGap()
		self.cppGapModel = RfGapTTF()

	def setLinacTracker(self, switch = True):
		"""
		This method will switch RF gap model to slower one where transformations 
		coefficients are calculated for each particle in the bunch.
		"""
		AbstractRF_Gap.setLinacTracker(self,switch)
		if(switch):
			if(isinstance(self.cppGapModel,BaseRfGap) or isinstance(self.cppGapModel,BaseRfGap_slow)):
				self.cppGapModel = BaseRfGap_slow()
			if(isinstance(self.cppGapModel,RfGapTTF) or isinstance(self.cppGapModel,RfGapTTF_slow)):
				self.cppGapModel = RfGapTTF_slow()				
		else:
			if(isinstance(self.cppGapModel,BaseRfGap) or isinstance(self.cppGapModel,BaseRfGap_slow)):
				self.cppGapModel = BaseRfGap()
			if(isinstance(self.cppGapModel,RfGapTTF) or isinstance(self.cppGapModel,RfGapTTF_slow)):
				self.cppGapModel = RfGapTTF()				

	def setnParts(self, n = 1):
		"""
		Method. Sets the number of body parts of the node. 
		For the RF gap with zero length it will be only 1.
		"""
		BaseLinacNode.setnParts(self,1)


	def setCppGapModel(self, cppGapModel = MatrixRfGap()):
		"""
		This method will set the fast c++ simple model for the RF Gap. 
		By default it is Matrix RF Gap model which is a linear transport matrix.
		"""
		self.cppGapModel = cppGapModel
	
	def initialize(self):
		"""
		The BaseRF_Gap  class implementation
		of the AccNode class initialize() method.
		"""
		nParts = self.getnParts()
		if(nParts != 1):
			msg = "The BaseRF_Gap RF gap should have 1 parts!"
			msg = msg + os.linesep
			msg = msg + "Method initialize():"
			msg = msg + os.linesep
			msg = msg + "Name of element=" + self.getName()
			msg = msg + os.linesep
			msg = msg + "Type of element=" + self.getType()
			msg = msg + os.linesep
			msg = msg + "nParts =" + str(nParts)
			msg = msg + os.linesep
			msg = msg + "lenght =" + str(self.getLength())
			orbitFinalize(msg)
		self.setLength(0.,0)

	def isFirstRFGap(self):
		"""
		Returns True if it is the first gap in RF cavity. 
		"""
		return self.__isFirstGap

	def setAsFirstRFGap(self, isFirst):
		"""
		Sets if it is the first gap in RF cavity. 
		"""
		self.__isFirstGap = isFirst
	
	def setRF_Cavity(self, rf_cav):
		"""
		Sets the parent RF Cavity.
		"""
		self.addParam("rfCavity",rf_cav)

	def getRF_Cavity(self):
		"""
		Returns the parent RF Cavity.
		"""
		return self.getParam("rfCavity")
	
	def setGapPhase(self, gap_phase):
		"""
		Sets the rf gap phase.
		"""
		self.setParam("gap_phase",gap_phase)

	def getGapPhase(self):
		"""
		Returns the rf gap phase.
		"""
		return self.getParam("gap_phase")
		
	def getTTF_Polynimials(self):
		"""
		Returns the T,S,Tp,Sp, polynomials in the TTF model.
		"""
		return (self.polyT,self.polyS,self.polyTp,self.polySp)	
		
	def getBetaMinMax(self):
		"""
		Returns beta min and max for TTF model polynomials.
		"""	
		return (self.getParam("beta_min"),self.getParam("beta_max")	)
		
	def setBetaMinMax(self,beta_min,beta_max):
		"""
		Sets beta min and max for TTF model polynomials.
		"""	
		self.setParam("beta_min", beta_min)
		self.setParam("beta_max", beta_max)
		
	def track(self, paramsDict):
		"""
		The simplest RF gap class implementation of
		the AccNode class track(probe) method.
		"""
		bunch = paramsDict["bunch"]		
		syncPart = bunch.getSyncParticle()
		E0TL = self.getParam("E0TL")		
		E0L = self.getParam("E0L")
		modePhase = self.getParam("mode")*math.pi
		rfCavity = self.getRF_Cavity()
		frequency = rfCavity.getFrequency()	
		phase = rfCavity.getPhase() + modePhase
		rf_ampl = rfCavity.getAmp()
		arrival_time = syncPart.time()
		designArrivalTime = rfCavity.getDesignArrivalTime()
		if(self.__isFirstGap):
			if(rfCavity.isDesignSetUp()):
				#print "debug RF =",self.getName(),"  phase=",(phase*180./math.pi - 180.)
				phase = math.fmod(frequency*(arrival_time - designArrivalTime)*2.0*math.pi + phase,2.0*math.pi)
				#print "debug RF =",self.getName(),"  phase=",(phase*180./math.pi - 180.)
			else:
				sequence = self.getSequence()
				accLattice = sequence.getLinacAccLattice()
				msg = "The BaseRF_Gap class. You have to run trackDesign on the LinacAccLattice first to initialize all RF Cavities' phases!"
				msg = msg + os.linesep
				if(accLattice != None):				
					msg = msg + "Lattice =" + accLattice.getName()				
					msg = msg + os.linesep
				if(sequence != None):				
					msg = msg + "Sequence =" + sequence.getName()				
					msg = msg + os.linesep
				msg = msg + "RF Cavity =" + rfCavity.getName()				
				msg = msg + os.linesep
				msg = msg + "Name of element=" + self.getName()
				msg = msg + os.linesep
				msg = msg + "Type of element=" + self.getType()
				msg = msg + os.linesep
				orbitFinalize(msg)				
		else:
			phase = math.fmod(frequency*(arrival_time - designArrivalTime)*2.0*math.pi+phase,2.0*math.pi)	
		#---- rf gap input phase -----
		self.setGapPhase(phase)
		#call rf gap model to track the bunch	
		if(isinstance(self.cppGapModel,MatrixRfGap) or isinstance(self.cppGapModel,BaseRfGap) or isinstance(self.cppGapModel,BaseRfGap_slow)):
			self.cppGapModel.trackBunch(bunch,frequency,E0TL*rf_ampl,phase)
		else:
			self.ttf_track_bunch__(bunch,frequency,E0L*rf_ampl,phase)
		#print "debug delta_time in deg=",frequency*(arrival_time - designArrivalTime)*380.
		#print "debug RF =",self.getName()," E0TL=",E0TL," phase=",(phase*180./math.pi - 180.)," eKin[MeV]=",bunch.getSyncParticle().kinEnergy()*1.0e+3		
		
	def trackDesign(self, paramsDict):
		"""
		The RF First Gap node setups the design time of passage 
		of the bunch through this node.
		"""
		bunch = paramsDict["bunch"]
		eKin_in = bunch.getSyncParticle().kinEnergy()
		E0TL = self.getParam("E0TL")			
		E0L = self.getParam("E0L")			
		rfCavity = self.getRF_Cavity()
		modePhase = self.getParam("mode")*math.pi	
		arrival_time = bunch.getSyncParticle().time()
		frequency = rfCavity.getFrequency()
		phase = rfCavity.getPhase() + modePhase
		if(self.__isFirstGap):
			rfCavity.setDesignArrivalTime(arrival_time)
			rfCavity.setDesignSetUp(True)		
			rfCavity._setDesignPhase(rfCavity.getPhase())
			rfCavity._setDesignAmp(rfCavity.getAmp())
		else:
			first_gap_arr_time = rfCavity.getDesignArrivalTime()
			#print "debug name=",self.getName()," delta_phase=",frequency*(arrival_time - first_gap_arr_time)*360.0," phase=",phase*180/math.pi
			phase = math.fmod(frequency*(arrival_time - first_gap_arr_time)*2.0*math.pi+phase,2.0*math.pi)		
		#print "debug design name=",self.getName()," arr_time=",arrival_time," phase=",phase*180./math.pi," E0TL=",E0TL*1.0e+3," freq=",frequency
		#---- rf gap input phase -----	
		self.setGapPhase(phase)		
		#call rf gap model to track the bunch
		rf_ampl = rfCavity.getDesignAmp()	
		if(isinstance(self.cppGapModel,MatrixRfGap) or isinstance(self.cppGapModel,BaseRfGap) or isinstance(self.cppGapModel,BaseRfGap_slow)):
			self.cppGapModel.trackBunch(bunch,frequency,E0TL*rf_ampl,phase)
		else:
			self.ttf_track_bunch__(bunch,frequency,E0L*rf_ampl,phase)
		eKin_out = bunch.getSyncParticle().kinEnergy()
		#print "debug name=",self.getName()," phase=",(phase*180./math.pi-180.)," Ein=",eKin_in*1000.,"  Eout=",eKin_out*1000.," dE=",(eKin_out-eKin_in)*1000.

	def ttf_track_bunch__(self,bunch,frequency,E0L,phase):
		"""
		Tracks the bunch through the TTF thin gap model. This private method was 
		introduced to to check the beta TTF limits in the polynomial representation
		of T,T',S,and S' functions of the relativistic beta. 
		"""
		beta = bunch.getSyncParticle().beta()
		beta_min = self.getParam("beta_min")	
		beta_max = self.getParam("beta_max")	
		if(beta < beta_min or  beta > beta_max):
			sequence = self.getSequence()
			accLattice = sequence.getLinacAccLattice()
			rfCavity = self.getRF_Cavity()			
			msg = "The Python BaseRF_Gap class. The beta for SyncPart is not in the range [min:max]!"
			msg = msg + os.linesep
			if(accLattice != None):				
				msg = msg + "Lattice =" + accLattice.getName()				
				msg = msg + os.linesep
			if(sequence != None):				
				msg = msg + "Sequence =" + sequence.getName()				
				msg = msg + os.linesep
			msg = msg + "RF Cavity =" + rfCavity.getName()				
			msg = msg + os.linesep
			msg = msg + "Name of element=" + self.getName()
			msg = msg + os.linesep
			msg = msg + "Type of element=" + self.getType()
			msg = msg + os.linesep
			msg = msg + "beta=" + str(beta)
			msg = msg + os.linesep				
			msg = msg + "beta min=" + str(beta_min)
			msg = msg + os.linesep				
			msg = msg + "beta max=" + str(beta_max)
			msg = msg + os.linesep				
			orbitFinalize(msg)				
		self.cppGapModel.trackBunch(bunch,frequency,E0L,phase,self.polyT,self.polyS,self.polyTp,self.polySp)
Ejemplo n.º 10
0
class PolynomialFit:
	def __init__(self,order):
		""" The calss to fit Function or SplineCH with a polynomial. """
		self.order = order
		self.polynomial = Polynomial()
		#self.coef_err_arr is a final array with coef_arr and err_arr for polinomial coefficients
		self.coef_err_arr = []
		#self.x_y_err_arr is initial data with (x,y,y_err) points
		self.x_y_err_arr = []
		
	def getPolynomial(self):
		""" It returns an unbounded polynomial. """ 
		polynomial = Polynomial()
		self.polynomial.copyTo(polynomial)
		return polynomial
	
	def getCoefficientsAndErr(self):
		""" It returns the list of coefficients and their errors """
		return self.coef_err_arr
		
	def getCoefficients(self):
		""" Returns the list of coefficients of the polynomial """
		coef_arr = []
		for i in range(len(self.coef_err_arr)):
			[coef,err] = self.coef_err_arr[i]
			coef_arr.append(coef)
		return coef_arr
		
	def fitFunction(self, function):
		""" Fit the Function instance """
		self.x_y_err_arr = []
		for i in range(function.getSize()):
			x = function.x(i)
			y = function.y(i)
			err = function.err(i)
			self.x_y_err_arr.append([x,y,err])
		self._makePolynomial()
		
	def fitSpline(self, spline):
		""" Fit the SplineCH instance """
		self.x_y_err_arr = []
		for i in range(spline.getSize()):
			x = spline.x(i)
			y = spline.y(i)
			err = 0.
			self.x_y_err_arr.append([x,y,err])
		self._makePolynomial()
		
	def _makePolynomial(self):
		nPoints = len(self.x_y_err_arr)
		if(nPoints < (self.order+1)):
			self.order = nPoints - 1
		#check if just one of errors is zero
		infoZeroErr = 1.0
		for [x,y,err] in self.x_y_err_arr:
			infoZeroErr *= err
		for i in range(nPoints):
			[x,y,err] = self.x_y_err_arr[i]
			sigma = 1.0
			if(infoZeroErr != 0.):
				sigma = 1.0/(err*err)
			self.x_y_err_arr[i][2] = sigma
		#now make A matrix
		aMatr = Matrix(nPoints,self.order+1)
		for i in range(nPoints):
			for j in range(self.order+1):
				x = self.x_y_err_arr[i][0]
				aMatr.set(i,j,math.pow(x,j))	
		aTCa = Matrix(self.order+1,self.order+1)
		for i in range(self.order+1):
			for j in range(self.order+1):
				a = 0.
				for k in range(nPoints):
					sigma = self.x_y_err_arr[k][2]
					a += aMatr.get(k,i)*sigma*aMatr.get(k,j)
				aTCa.set(i,j,a)
		#now the resuting coefficients and errors		
		aTCaI = aTCa.invert()
		e = aTCaI.mult(aTCa)		
		if(aTCa == None):
			print "python PolynomialFit: Problem with data."
			for i in range(nPoints):
				x = self.x_y_err_arr[i][0]
				y = self.x_y_err_arr[i][1]
				err = self.x_y_err_arr[i][2]
				print " x,y,err = %12.5g %12.5g %12.5g "%(x,y,err)
			print "Stop."
			sys.exit(1)
		coef_arr = [0.]*(self.order+1)			
		err_arr = [0.]*(self.order+1)
		for i in range(self.order+1):
			err_arr[i] = math.sqrt(math.fabs(aTCaI.get(i,i)))
		for i in range(self.order+1):
			coef_arr[i] = 0.
			for j in range(self.order+1):
				for k in range(nPoints):
					sigma = self.x_y_err_arr[k][2]
					y = self.x_y_err_arr[k][1]
					coef_arr[i] += aTCaI.get(i,j)*aMatr.get(k,j)*sigma*y
		# polinimial coefficients are found
		self.polynomial.order(self.order)
		for i in range(len(coef_arr)):
			self.polynomial.coefficient(i,coef_arr[i])	
		# now let's calculate errors
		if(infoZeroErr == 0.):
			total_sigma = 0.
			for k in range(nPoints):
				x = self.x_y_err_arr[k][0]
				y = self.x_y_err_arr[k][1]
				total_sigma += (self.polynomial.value(x)-y)**2
			total_sigma = math.sqrt(total_sigma/(nPoints-2))
			for i in range(len(err_arr)):
				err_arr[i] *= total_sigma
		# set the resulting coefficients and errors array
		self.coef_err_arr = [coef_arr,err_arr]	
Ejemplo n.º 11
0
#-------------------------------------------------------------
# This is an example of Polynomial class
# The methods "derivativeTo","derivative", "copyTo" and "value" are included.
#-------------------------------------------------------------

import sys
import math

from orbit_utils import Polynomial

poly = Polynomial(4)
print "initial order = ", poly.order()

poly.coefficient(2, 2.0)

print "========Polynomial======="
order = poly.order()
for i in range(order + 1):
    print "i=", i, " coef=", poly.coefficient(i)

x = 10.
y = poly.value(x)
print "x=", x, " y=", y

poly1 = Polynomial()
poly.derivativeTo(poly1)

print "========Derivative polynomial======="
order = poly1.order()
for i in range(order + 1):
    print "i=", i, " coef=", poly1.coefficient(i)
# from linac import the RF gap classes
from linac import BaseRfGap, MatrixRfGap, RfGapTTF

rf_gap_ttf = RfGapTTF()
T_ttf = rf_gap_ttf.getT_TTF()
S_ttf = rf_gap_ttf.getS_TTF()
#---------------------------------------
# We set T, T', S, and S'. The T'=dT/d(cappa) and S'=dS/d(cappa).
# where cappa = 2*PI*frequency/(c*beta)
# The T' and S' are set up as separate polynomials, because
# the accuracy of calculating a derivative from the polynomial
# fitting is very low.
#---------------------------------------

polyT = Polynomial(4)
polyT.coefficient(2,2.0)
rf_gap_ttf.setT_TTF(polyT)

polyS = Polynomial(5)
polyS.coefficient(3,3.0)
rf_gap_ttf.setS_TTF(polyS)

polyTp = Polynomial(4)
polyTp.coefficient(3,2.0)
rf_gap_ttf.setT_TTF(polyTp)

polySp = Polynomial(5)
polySp.coefficient(1,3.0)
rf_gap_ttf.setS_TTF(polySp)
Ejemplo n.º 13
0
class BaseRF_Gap(AbstractRF_Gap):
	"""
	The simplest RF gap representation. The only E0*T*L or E0*L and TTFs define 
	all effects of the node. By default the Matrix RF Gap model is used. 
	This model can be replaced later with a more complex RF gap model by using 
	the setCppGapModel(...) method. User should provide the necessary parameters
	for each type of RF gap model.
	MatrixRfGap - E0TL, mode
	BaseRfGap - E0TL, mode
	RfGapTTF - E0L, T,S,Tp,Sp, beta_min, beta_max
	The phase of the first gap in the cavity is defined by the parent cavity instance.
	The relative amplitude is also defined by the parent cavity instance.
	The 'mode' parameter is a shift of the phase between two gaps in PI units.
	"""
	def __init__(self, name = "baserfgap"):
		"""
		Constructor for the simplest RF gap. 
		E0L and E0TL parameters are in GeV. Phases are in radians.
		"""
		AbstractRF_Gap.__init__(self,name)
		self.addParam("E0TL",0.)
		self.addParam("mode",0.)		
		self.addParam("gap_phase",0.)
		self.addParam("rfCavity", None)
		#----- TTF model params ------
		self.addParam("E0L",0.)	
		self.polyT = Polynomial(0)
		self.polyT.coefficient(0,1.0)
		self.polyS = Polynomial(0)
		self.polyS.coefficient(0,0.0)
		self.polyTp = Polynomial(0)
		self.polyTp.coefficient(0,0.0)
		self.polySp = Polynomial(0)
		self.polySp.coefficient(0,0.0)
		self.addParam("beta_min",0.)
		self.addParam("beta_max",1.)
		#-----------------------------
		self.addParam("rfCavity",None)
		self.addParam("EzFile","no_file")
		self.setType("baserfgap")	
		self.__isFirstGap = False
		self.cppGapModel = MatrixRfGap()
		self.cppGapModel = BaseRfGap()
		self.cppGapModel = RfGapTTF()

	def setnParts(self, n = 1):
		"""
		Method. Sets the number of body parts of the node. For the RF gap it will be only 1.
		"""
		BaseLinacNode.setnParts(self,1)

	def setCppGapModel(self, cppGapModel = MatrixRfGap()):
		"""
		This method will set the fast c++ simple model for the RF Gap. 
		By default it is Matrix RF Gap model which is a linear transport matrix.
		"""
		self.cppGapModel = cppGapModel
	
	def initialize(self):
		"""
		The Ring RF TEAPOT class implementation
		of the AccNode class initialize() method.
		"""
		nParts = self.getnParts()
		if(nParts != 1):
			msg = "The simple Rf gap should have 1 parts!"
			msg = msg + os.linesep
			msg = msg + "Method initialize():"
			msg = msg + os.linesep
			msg = msg + "Name of element=" + self.getName()
			msg = msg + os.linesep
			msg = msg + "Type of element=" + self.getType()
			msg = msg + os.linesep
			msg = msg + "nParts =" + str(nParts)
			msg = msg + os.linesep
			msg = msg + "lenght =" + str(self.getLength())
			orbitFinalize(msg)
		self.setLength(0.,0)

	def isRFGap(self):
		"""
		Returns True.
		"""
		return True

	def isFirstRFGap(self):
		"""
		Returns True if it is the first gap in RF cavity. 
		"""
		return self.__isFirstGap

	def setAsFirstRFGap(self, isFirst):
		"""
		Sets if it is the first gap in RF cavity. 
		"""
		self.__isFirstGap = isFirst
	
	def setRF_Cavity(self, rf_cav):
		"""
		Sets the parent RF Cavity.
		"""
		self.addParam("rfCavity",rf_cav)

	def getRF_Cavity(self):
		"""
		Returns the parent RF Cavity.
		"""
		return self.getParam("rfCavity")
	
	def setGapPhase(self, gap_phase):
		"""
		Sets the rf gap phase.
		"""
		self.setParam("gap_phase",gap_phase)

	def getGapPhase(self):
		"""
		Returns the rf gap phase.
		"""
		return self.getParam("gap_phase")
		
	def getTTF_Polynimials(self):
		"""
		Returns the T,S,Tp,Sp, polynomials in the TTF model.
		"""
		return (self.polyT,self.polyS,self.polyTp,self.polySp)	
		
	def getBetaMinMax(self):
		"""
		Returns beta min and max for TTF model polynomials.
		"""	
		return (self.getParam("beta_min"),self.getParam("beta_max")	)
		
	def setBetaMinMax(self,beta_min,beta_max):
		"""
		Sets beta min and max for TTF model polynomials.
		"""	
		self.setParam("beta_min", beta_min)
		self.setParam("beta_max", beta_max)
		
	def track(self, paramsDict):
		"""
		The simplest RF gap class implementation of
		the AccNode class track(probe) method.
		"""
		bunch = paramsDict["bunch"]		
		syncPart = bunch.getSyncParticle()
		E0TL = self.getParam("E0TL")		
		E0L = self.getParam("E0L")
		modePhase = self.getParam("mode")*math.pi
		rfCavity = self.getRF_Cavity()
		frequency = rfCavity.getFrequency()	
		phase = rfCavity.getPhase() + modePhase
		rf_ampl = rfCavity.getAmp()
		arrival_time = syncPart.time()
		designArrivalTime = rfCavity.getDesignArrivalTime()
		if(self.__isFirstGap):
			if(rfCavity.isDesignSetUp()):
				#print "debug RF =",self.getName(),"  phase=",(phase*180./math.pi - 180.)
				phase = math.fmod(frequency*(arrival_time - designArrivalTime)*2.0*math.pi + phase,2.0*math.pi)
				#print "debug RF =",self.getName(),"  phase=",(phase*180./math.pi - 180.)
			else:
				sequence = self.getSequence()
				accLattice = sequence.getLinacAccLattice()
				msg = "The BaseRF_Gap class. You have to run trackDesign on the LinacAccLattice first to initialize all RF Cavities' phases!"
				msg = msg + os.linesep
				if(accLattice != None):				
					msg = msg + "Lattice =" + accLattice.getName()				
					msg = msg + os.linesep
				if(sequence != None):				
					msg = msg + "Sequence =" + sequence.getName()				
					msg = msg + os.linesep
				msg = msg + "RF Cavity =" + rfCavity.getName()				
				msg = msg + os.linesep
				msg = msg + "Name of element=" + self.getName()
				msg = msg + os.linesep
				msg = msg + "Type of element=" + self.getType()
				msg = msg + os.linesep
				orbitFinalize(msg)				
		else:
			phase = math.fmod(frequency*(arrival_time - designArrivalTime)*2.0*math.pi+phase,2.0*math.pi)	
		#---- rf gap input phase -----
		self.setGapPhase(phase)
		#call rf gap model to track the bunch	
		if(isinstance(self.cppGapModel,MatrixRfGap) or isinstance(self.cppGapModel,BaseRfGap)):
			self.cppGapModel.trackBunch(bunch,frequency,E0TL*rf_ampl,phase)
		else:
			self.ttf_track_bunch__(bunch,frequency,E0L*rf_ampl,phase)
		#print "debug delta_time in deg=",frequency*(arrival_time - designArrivalTime)*380.
		#print "debug RF =",self.getName()," E0TL=",E0TL," phase=",(phase*180./math.pi - 180.)," eKin[MeV]=",bunch.getSyncParticle().kinEnergy()*1.0e+3		
		
	def trackDesign(self, paramsDict):
		"""
		The RF First Gap node setups the design time of passage 
		of the bunch through this node.
		"""
		bunch = paramsDict["bunch"]
		eKin_in = bunch.getSyncParticle().kinEnergy()
		E0TL = self.getParam("E0TL")			
		E0L = self.getParam("E0L")			
		rfCavity = self.getRF_Cavity()
		modePhase = self.getParam("mode")*math.pi	
		arrival_time = bunch.getSyncParticle().time()
		frequency = rfCavity.getFrequency()
		phase = rfCavity.getPhase() + modePhase
		rf_ampl = rfCavity.getDesignAmp()
		if(self.__isFirstGap):
			rfCavity.setDesignArrivalTime(arrival_time)
			rfCavity.setDesignSetUp(True)		
			rfCavity._setDesignPhase(rfCavity.getPhase())
			rfCavity._setDesignAmp(rfCavity.getAmp())
		else:
			first_gap_arr_time = rfCavity.getDesignArrivalTime()
			#print "debug name=",self.getName()," delta_phase=",frequency*(arrival_time - first_gap_arr_time)*360.0," phase=",phase*180/math.pi
			phase = math.fmod(frequency*(arrival_time - first_gap_arr_time)*2.0*math.pi+phase,2.0*math.pi)		
		#print "debug name=",self.getName()," arr_time=",arrival_time," phase=",phase*180./math.pi," E0TL=",E0TL*1.0e+3," freq=",frequency
		#---- rf gap input phase -----
		self.setGapPhase(phase)		
		#call rf gap model to track the bunch
		if(isinstance(self.cppGapModel,MatrixRfGap) or isinstance(self.cppGapModel,BaseRfGap)):
			self.cppGapModel.trackBunch(bunch,frequency,E0TL*rf_ampl,phase)
		else:
			self.ttf_track_bunch__(bunch,frequency,E0L*rf_ampl,phase)
		eKin_out = bunch.getSyncParticle().kinEnergy()
		#print "debug name=",self.getName()," phase=",(phase*180./math.pi-180.)," Ein=",eKin_in*1000.,"  Eout=",eKin_out*1000.," dE=",(eKin_out-eKin_in)*1000.

	def ttf_track_bunch__(self,bunch,frequency,E0L,phase):
		"""
		Tracks the bunch through the TTF thin gap model. 
		"""
		beta = bunch.getSyncParticle().beta()
		beta_min = self.getParam("beta_min")	
		beta_max = self.getParam("beta_max")	
		if(beta < beta_min or  beta > beta_max):
			sequence = self.getSequence()
			accLattice = sequence.getLinacAccLattice()
			rfCavity = self.getRF_Cavity()			
			msg = "The Python BaseRF_Gap class. The beta for SyncPart is not in the range [min:max]!"
			msg = msg + os.linesep
			if(accLattice != None):				
				msg = msg + "Lattice =" + accLattice.getName()				
				msg = msg + os.linesep
			if(sequence != None):				
				msg = msg + "Sequence =" + sequence.getName()				
				msg = msg + os.linesep
			msg = msg + "RF Cavity =" + rfCavity.getName()				
			msg = msg + os.linesep
			msg = msg + "Name of element=" + self.getName()
			msg = msg + os.linesep
			msg = msg + "Type of element=" + self.getType()
			msg = msg + os.linesep
			msg = msg + "beta=" + str(beta)
			msg = msg + os.linesep				
			msg = msg + "beta min=" + str(beta_min)
			msg = msg + os.linesep				
			msg = msg + "beta max=" + str(beta_max)
			msg = msg + os.linesep				
			orbitFinalize(msg)				
		self.cppGapModel.trackBunch(bunch,frequency,E0L,phase,self.polyT,self.polyS,self.polyTp,self.polySp)
Ejemplo n.º 14
0
# from linac import the RF gap classes
from linac import BaseRfGap, MatrixRfGap, RfGapTTF

rf_gap_ttf = RfGapTTF()
T_ttf = rf_gap_ttf.getT_TTF()
S_ttf = rf_gap_ttf.getS_TTF()
#---------------------------------------
# We set T, T', S, and S'. The T'=dT/d(cappa) and S'=dS/d(cappa).
# where cappa = 2*PI*frequency/(c*beta)
# The T' and S' are set up as separate polynomials, because
# the accuracy of calculating a derivative from the polynomial
# fitting is very low.
#---------------------------------------

polyT = Polynomial(4)
polyT.coefficient(2, 2.0)
rf_gap_ttf.setT_TTF(polyT)

polyS = Polynomial(5)
polyS.coefficient(3, 3.0)
rf_gap_ttf.setS_TTF(polyS)

polyTp = Polynomial(4)
polyTp.coefficient(3, 2.0)
rf_gap_ttf.setT_TTF(polyTp)

polySp = Polynomial(5)
polySp.coefficient(1, 3.0)
rf_gap_ttf.setS_TTF(polySp)