# -*- coding: utf-8 -*-
"""
Created on Mon Apr 28 14:27:36 2014

@author: jussitii
"""

class Substance:
    def __init__(self,eps,rho):
        self.eps = eps
        self.rho = rho

class Mixture:
    def __init__(self,medium,inclusion):
        self.m = medium
        self.i = inclusion
        
    def fraction(self,rho):
        return (rho - self.m.rho)/(self.i.rho - self.m.rho)
        
    def max_gar(self,rho):
        f = self.fraction(rho)
        eps_diff = self.i.eps - self.m.eps
        return self.m.eps + \
            3*f*self.m.eps*(eps_diff)/(self.i.eps+2*self.m.eps-f*(eps_diff))

    def bruggeman(self,rho):
        f = self.fraction(rho)
        return self.m.eps/2 \
            -self.i.eps/4 \
            +(3*self.i.eps*f)/4 \
            -(3*self.m.eps*f)/4 \
            +(9*self.i.eps**2*f**2 \
            -6*self.i.eps**2*f \
            +self.i.eps**2 \
            -18*self.i.eps*self.m.eps*f**2 \
            +18*self.i.eps*self.m.eps*f \
            +4*self.i.eps*self.m.eps \
            +9*self.m.eps**2*f**2 \
            -12*self.m.eps**2*f \
            +4*self.m.eps**2)**(0.5)/4
ecd5162cf866e53be7b6576b689775560611e0e3
<mask token>


class Mixture:
    <mask token>
    <mask token>

    def max_gar(self, rho):
        f = self.fraction(rho)
        eps_diff = self.i.eps - self.m.eps
        return self.m.eps + 3 * f * self.m.eps * eps_diff / (self.i.eps + 2 *
            self.m.eps - f * eps_diff)
    <mask token>

<mask token>


class Mixture:

    def __init__(self, medium, inclusion):
        self.m = medium
        self.i = inclusion

    def fraction(self, rho):
        return (rho - self.m.rho) / (self.i.rho - self.m.rho)

    def max_gar(self, rho):
        f = self.fraction(rho)
        eps_diff = self.i.eps - self.m.eps
        return self.m.eps + 3 * f * self.m.eps * eps_diff / (self.i.eps + 2 *
            self.m.eps - f * eps_diff)
    <mask token>

<mask token>


class Mixture:

    def __init__(self, medium, inclusion):
        self.m = medium
        self.i = inclusion

    def fraction(self, rho):
        return (rho - self.m.rho) / (self.i.rho - self.m.rho)

    def max_gar(self, rho):
        f = self.fraction(rho)
        eps_diff = self.i.eps - self.m.eps
        return self.m.eps + 3 * f * self.m.eps * eps_diff / (self.i.eps + 2 *
            self.m.eps - f * eps_diff)

    def bruggeman(self, rho):
        f = self.fraction(rho)
        return (self.m.eps / 2 - self.i.eps / 4 + 3 * self.i.eps * f / 4 - 
            3 * self.m.eps * f / 4 + (9 * self.i.eps ** 2 * f ** 2 - 6 * 
            self.i.eps ** 2 * f + self.i.eps ** 2 - 18 * self.i.eps * self.
            m.eps * f ** 2 + 18 * self.i.eps * self.m.eps * f + 4 * self.i.
            eps * self.m.eps + 9 * self.m.eps ** 2 * f ** 2 - 12 * self.m.
            eps ** 2 * f + 4 * self.m.eps ** 2) ** 0.5 / 4)

<mask token>


class Substance:
    <mask token>


class Mixture:

    def __init__(self, medium, inclusion):
        self.m = medium
        self.i = inclusion

    def fraction(self, rho):
        return (rho - self.m.rho) / (self.i.rho - self.m.rho)

    def max_gar(self, rho):
        f = self.fraction(rho)
        eps_diff = self.i.eps - self.m.eps
        return self.m.eps + 3 * f * self.m.eps * eps_diff / (self.i.eps + 2 *
            self.m.eps - f * eps_diff)

    def bruggeman(self, rho):
        f = self.fraction(rho)
        return (self.m.eps / 2 - self.i.eps / 4 + 3 * self.i.eps * f / 4 - 
            3 * self.m.eps * f / 4 + (9 * self.i.eps ** 2 * f ** 2 - 6 * 
            self.i.eps ** 2 * f + self.i.eps ** 2 - 18 * self.i.eps * self.
            m.eps * f ** 2 + 18 * self.i.eps * self.m.eps * f + 4 * self.i.
            eps * self.m.eps + 9 * self.m.eps ** 2 * f ** 2 - 12 * self.m.
            eps ** 2 * f + 4 * self.m.eps ** 2) ** 0.5 / 4)

# -*- coding: utf-8 -*-
"""
Created on Mon Apr 28 14:27:36 2014

@author: jussitii
"""

class Substance:
    def __init__(self,eps,rho):
        self.eps = eps
        self.rho = rho

class Mixture:
    def __init__(self,medium,inclusion):
        self.m = medium
        self.i = inclusion
        
    def fraction(self,rho):
        return (rho - self.m.rho)/(self.i.rho - self.m.rho)
        
    def max_gar(self,rho):
        f = self.fraction(rho)
        eps_diff = self.i.eps - self.m.eps
        return self.m.eps + \
            3*f*self.m.eps*(eps_diff)/(self.i.eps+2*self.m.eps-f*(eps_diff))

    def bruggeman(self,rho):
        f = self.fraction(rho)
        return self.m.eps/2 \
            -self.i.eps/4 \
            +(3*self.i.eps*f)/4 \
            -(3*self.m.eps*f)/4 \
            +(9*self.i.eps**2*f**2 \
            -6*self.i.eps**2*f \
            +self.i.eps**2 \
            -18*self.i.eps*self.m.eps*f**2 \
            +18*self.i.eps*self.m.eps*f \
            +4*self.i.eps*self.m.eps \
            +9*self.m.eps**2*f**2 \
            -12*self.m.eps**2*f \
            +4*self.m.eps**2)**(0.5)/4