Esempio n. 1
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    def addAbsorber(self, qp, data=None, **kwargs):
        # todo? absorber type (mpArray) -> type(Stateoq) ?
        if data != None and qp == 'q':
            if self.__dummy[0]:
                self.absorber[0] = mpArray(self.dim)
                self.__dummy[0] = False

            self.absorber[0] += data

            if True in (numpy.abs(self.absorber[0]) > 1.0):
                self.absorber[0] = self.absorber[0]/self.absorber[0].real.max()            

            x = State(self.scaleinfo, self.absorber[0])
            x.savetxt("absorber_q.dat")
        
        elif qp =='p':
            if self.__dummy[1]:
                self.absorber[1] = mpArray(self.dim)
                self.__dummy[1] = False

            self.absorber[1] += data

            if True in (numpy.abs(self.absorber[1]) > 1.0):
                self.absorber[1] = self.absorber[1]/self.absorber[1].real.max()            

            x = State(self.scaleinfo, self.absorber[1])
            x.savetxt("absorber_p.dat",qp="p")            
        
        elif qp == 'cs':
            index = len(self.absorber)
            self.absorber.append(mpArray(self.dim))
            self.absorber[index] = data

            x = State(self.scaleinfo, mpArray.ones(self.dim)  - self.absorber[index])
            x.savetxt("absorber_cs_%d.dat" % (index - 2))            
Esempio n. 2
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 def op0(self, x, isShift=False):
     if isShift:
         sub_x = numpy.fft.fftshift(x)
         func = self.map.ifunc0(sub_x)
         self.operator[0] = mpArray([ mpmath.exp(mpmath.mpc("0", -twopi*func[i]*self.tau/self.h*mpmath.mpf("0.5"))) for i in range(self.dim) ])
     else:
         func = self.map.ifunc0(x)
         self.operator[0] = mpArray([ mpmath.exp(mpmath.mpc("0", -twopi*func[i]*self.tau/self.h*mpmath.mpf("0.5"))) for i in range(self.dim) ])    
Esempio n. 3
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 def op1(self, x, isShift=True):
     if isShift:
         sub_x = numpy.fft.fftshift(x)
         func = self.map.ifunc1(sub_x)
         self.operator[1] = mpArray([ mpmath.exp(mpmath.mpc("0", -twopi*func[i]*self.tau/self.h)) for i in range(self.dim) ])
     else:
         func = self.map.ifunc1(x)
         self.operator[1] = mpArray([ mpmath.exp(mpmath.mpc("0", -twopi*func[i]*self.tau/self.h)) for i in range(self.dim) ])
Esempio n. 4
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 def hole_operate(self, invec=None, queue=None, verbose=False):
     self._operate(invec, None, False) # = self.operate        
     sum1 = mpArray(self.dim)
     for i in range(2,len(self.absorber)):
         sum0 = mpmath.fsum(self.absorber[i].conj()*mpArray(self.stateOut))
         sum1 += self.absorber[i]*sum0*mpmath.mpf("0.5")*self.gamma[i-2]
     
     self.stateOut = self.stateOut - State(self.scaleinfo, sum1)
     if queue !=None:
         queue.put(self.stateOut)
Esempio n. 5
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    def _expotanh(self, x, x1, x2, **kwargs):
        if 'alpha' in kwargs:
            alpha=kwargs['alpha']
        else:
            alpha=mpmath.mpf("1e10")

        z1 = x - x1
        z2 = x - x2
        y1 = mpArray([ mpmath.mpf("0.5")*(mpmath.mpf("1") - mpmath.tanh(x*alpha)) for x in z1 ]) 
        y2 = mpArray([ mpmath.mpf("0.5")*(mpmath.mpf("1") + mpmath.tanh(x*alpha)) for x in z2 ])

        return -(z1*z1*y1 + z2*z2*y2)        
Esempio n. 6
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 def operate(self, invec=None, queue=None, verbose=False):
     if invec != None:
         if isinstance(invec, mpArray):
             self.setIn(invec)
         elif isinstance(invec, list) and self.dim==len(invec):
             self.setIn(mpArray(invec))
     
     qvec = self.operator[0]*self.stateIn
     pvec = mpArray(mpfft.fft(qvec))#, inverse=False, verbose=verbose))
     pvec = self.operator[1]*pvec 
     self.stateOut = mpArray(mpfft.ifft(pvec))#, inverse=True, verbose=verbose))
     if queue !=None: 
         queue.put(self.stateOut)
Esempio n. 7
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 def operate(self, invec=None, queue=None, verbose=False):
     if invec != None:
         self.setIn(invec)
     ## tood: 一度だけしか呼びたくない
     if self._isShift():
         self.absorber[1] = self.absorber[1].fftshift()
     qvec = self.absorber[0]*self.operator[0]*self.stateIn
     pvec = mpArray(mpfft.fft(qvec))#, inverse=False, verbose=verbose))
     pvec = self.absorber[1]*self.operator[1]*pvec 
     qvec = self.absorber[0]*mpArray(mpfft.ifft(pvec))#, inverse=True, verbose=verbose))
     self.stateOut = State(self.scaleinfo, qvec)
     if queue !=None: 
         queue.put(self.stateOut)
Esempio n. 8
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    def setMatrix(self, fft=True, core=2, verbose=False,**kwargs):
        from utility import parallel

        self.setOperator(fft)
        matrix = mpMatrix(self.dim)
        orth_basis = [mpArray(self.dim) for i in range(self.dim)]
        for i in range(self.dim):
            orth_basis[i][i] = mpmath.mpc("1","0")

        start = time.time()
        
        if core > 1:
            #data = [orth_basis[i] for i in range(self.dim)]
            multi = parallel.MultiProcessing(self.operate, orth_basis, core=core)
            multi.run()
            res = multi.getResults()
            for i in range(self.dim):
                matrix[i,:] = res[i]
        elif core == 1:
            for i in range(self.dim):
                self.setIn(orth_basis[i])
                self.operate()
                
                matrix[i,:] = self.stateOut[:] #mpmath.matrix(self.stateOut.data).T
        t = time.time() -start
        
        self.matrix = matrix.T

        if verbose :
            print("Making matrix of size" , self.dim, "in", t, "sec.", "using core", core)
Esempio n. 9
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 def coherent(self, q_c, p_c, x=None):
     if not isinstance(q_c, mpmath.mpf) and not isinstance(p_c, mpmath.mpf):
         raise ValueError("q_c, p_c must be mpmath.mpf")
     if x == None:
         x = self.scaleinfo.x[0]
     re = -(x - q_c)*(x - q_c)*mpmath.pi/(self.scaleinfo.h)
     im = (x - q_c)*p_c*twopi/self.scaleinfo.h
     res = mpArray([mpmath.exp(mpmath.mpc(re[i], im[i])) for i in range(len(x))])
     return res.normalize()
Esempio n. 10
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    def cs(self, q_c, p_c):
        self.__raiseTypeError(q_c)
        self.__raiseTypeError(p_c)
        qrange = self.scaleinfo.domain[0]
        d = qrange[1] - qrange[0]
        lqmin, lqmax = qrange[0] - 2*d, qrange[1] + 2*d
        long_q = mpArray.linspace(lqmin, lqmax, 5*self.dim, endpoint=False)
        
        coh_state = self.coherent(q_c, p_c, long_q)

        vec = mpArray(self.dim) 
        m = len(coh_state)/self.dim
        coh_state = coh_state.reshape(m,self.dim)
        
        for i in range(m):
            vec += coh_state[i][::1]
        return State(self.scaleinfo, vec.normalize())
Esempio n. 11
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 def setOperator(self, fft=True):
     self.operator = [mpArray(self.dim) for i in range(2)] 
     
     self.op0(self.scaleinfo.x[0], False)
     self.op1(self.scaleinfo.x[1], self._isShift())        
Esempio n. 12
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 def tanh(self, x, x1, x2, **kwargs):
     if not 'beta' in kwargs: raise ValueError("excepted kwargs: 'beta'")
     beta = kwargs['beta']
     z1 = (x - x1)*beta
     z2 = (x - x2)*beta
     return mpArray( [ mpmath.mpf("0.5")*(mpmath.tanh(z1[i]) - mpmath.tanh(z2[i])) for i in range(len(x)) ])
Esempio n. 13
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 def tompArray(self):
     return mpArray(self)
Esempio n. 14
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 def exp(self, x, x1,x2,**kwargs):
     if not 'beta' in kwargs: raise ValueError("excepted kwargs: 'beta'")
     beta = kwargs['beta']
     expo = self._expotanh(x, x1, x2, **kwargs)
     return mpArray([mpmath.exp(expo[i]/(twopi)*beta) for i in range(len(x))])
Esempio n. 15
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 def set(self,x):
     if len(x) != self.scaleinfo.dim:
         raise TypeError("len(x) != dim")
     return State(self.scaleinfo, data = mpArray(x))
Esempio n. 16
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 def expcs(self, q_c,p_c, gamma):
     cs = self.cs(q_c,p_c)
     expcs=mpArray([mpmath.exp(-mpmath.mpf("0.5")*gamma*x) for x in cs])
     return State(self.scaleinfo,expcs)
Esempio n. 17
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 def __init__(self,dim, domain):
     HilbertSpace.__init__(self, dim)
     self.scaleinfo = ScaleInfo(dim, domain)
     self.stateIn = mpArray(dim)
     self.stateOut = mpArray(dim)
Esempio n. 18
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 def getEnergy(self,**kwargs):
     evals, evecs = self.getEigen(**kwargs)
     energy = mpArray([1.j*self.qmap.h*mpmath.log(val)/self.qmap.tau for val in evals])
     return energy
Esempio n. 19
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 def __setDomain(self, r):
     self.__setQdomain(r[0][0], r[0][1])
     self.__setPdomain(r[1][0], r[1][1])
     x = [mpArray(mpmath.linspace(self.domain[i][0], self.domain[i][1], self.dim, endpoint=False)) for i in range(2) ]
     self.__x = (x[0], x[1])