from model import Model
from pySAXS.LS.LSsca import Qlogspace
from pySAXS.LS.LSsca import SqSticky
import numpy
#from pySAXS.models.SphereGaussAnaDC import SphereGaussAnaDC

class StickyHS_poly(Model):
    '''
    Multiplication simple du facteur de forme Sphere polydisperse par sq hard sphere collante
    dans l approximation d interaction localement monodisperse
    31/03/2015
    '''
    def SqStickyModel(self,q,par):
        R=par[0]
        eta=par[1]
        tao=par[2]
        f1=SqSticky(q, R, eta, tao)
        f2=self.SphereGauss_ana_DC(q,[par[3],par[4],par[5],par[6],par[7]])
        f3=self.SphereGauss_ana_OS(q,[par[3],par[4],par[5],par[6],par[7]])
        return f2+(1.-f1)*f3

    def SphereGauss_ana_DC(self,q,par):
        """
        q array of q (A-1)
        par[0] Mean radius(A)
        par[1] Gaussian standard deviation (A)
        par[2] concentration of spheres (cm-3)
        par[3] scattering length density of spheres (cm-2)
        par[4] scattering length density of outside (cm-2)
        """
        R = par[0]
        s = par[1]
        n = par[2]
        rho1 = par[3]
        rho2 = par[4]
        t1 = q*R
        t2 = q*s
        prefactor = 1e-48*8.*numpy.pi**2.*n*(rho1-rho2)**2./q**6.
        fcos = ((1+2.*t2**2.)**2.-t1**2.-t2**2.)*numpy.cos(2.*t1)
        fsin = 2.*t1*(1.+2.*t2**2.)*numpy.sin(2.*t1)
        f = 1.+t1**2.+t2**2.-numpy.exp(-2.*t2**2)*(fcos+fsin)
        return prefactor*f
    
    def SphereGauss_ana_OS(self,q,par):
        """
        q array of q (A-1)
        par[0] Mean radius(A)
        par[1] Gaussian standard deviation (A)
        par[2] concentration of spheres (cm-3)
        par[3] scattering length density of spheres (cm-2)
        par[4] scattering length density of outside (cm-2)
        """
        R = par[0]
        s = par[1]
        n = par[2]
        rho1 = par[3]
        rho2 = par[4]
        t1 = q*R
        t2 = q*s
        prefactor = 1e-48*4.*numpy.pi*n*(rho1-rho2)**2./q**3.
        fcos = t1*numpy.cos(t1)
        fsin = (1.+t2**2.)*numpy.sin(t1)
        f = numpy.exp(-0.5*t2**2)*(fsin-fcos)
        return prefactor*f
    
    
    
    
    IntensityFunc=SqStickyModel #function
    N=0
    q=Qlogspace(1e-4,1.,500.)      #q range(x scale)
    Arg=[30.,0.1,5.,25,10.,1.5e14,2e11,1e10]           #list of parameters
    Format=["%f","%f","%f","%f","%f","%f","%f","%f"]      #list of c format
    istofit=[True,True,True,True,True,True,True,True]    #list of boolean for fitting
    name="StickyHardSphere-poly"          #name of the model
    Doc=["interaction radius(A)",\
         "ETA",\
         "TAO",\
         "Mean radius(A)",\
         "Gaussian standard deviation (A) ",\
         "concentration of spheres (cm-3)",\
         "scattering length density of sphere (cm-2)",\
         "scattering length density of medium (cm-2)"]          #list of description for parameters
    Description="Sticky Hard Sphere"  # description of model
    Author="Olivier Spalla, Olivier Tache"       #name of Author
    WarningForCalculationTime=False
    
if __name__=="__main__":
    '''
    test code
    '''
    print "toto"
    
