original_docstring: 
      Calculate the efficiencies for a small sphere.
  
      Typically used for small spheres where x<0.1
  
      Args:
          m: the complex index of refraction of the sphere
          x: the size parameter of the sphere
  
      Returns:
          qext: the total extinction efficiency
          qsca: the scattering efficiency
          qback: the backscatter efficiency
          g: the average cosine of the scattering phase function
      
docstring: Calculate the efficiencies for a small sphere.
  Typically used for small spheres where x<0.1
docstring_tokens: Calculate the efficiencies for a small sphere . Typically used for small spheres where x<0 . 1
code: def _small_mie(m, x):
      """
      Calculate the efficiencies for a small sphere.
  
      Typically used for small spheres where x<0.1
  
      Args:
          m: the complex index of refraction of the sphere
          x: the size parameter of the sphere
  
      Returns:
          qext: the total extinction efficiency
          qsca: the scattering efficiency
          qback: the backscatter efficiency
          g: the average cosine of the scattering phase function
      """
      m2 = m * m
      x2 = x * x
  
      D = m2 + 2 + (1 - 0.7 * m2) * x2 - (8 * m**4 - 385 * m2 + 350) * x**4 / 1400.0 + \
          2j * (m2 - 1) * x**3 * (1 - 0.1 * x2) / 3
      ahat1 = 2j * (m2 - 1) / 3 * (1 - 0.1 * x2 + (4 * m2 + 5) * x**4 / 1400) / D
      bhat1 = 1j * x2 * (m2 - 1) / 45 * (1 + (2 * m2 - 5) /
                                         70 * x2) / (1 - (2 * m2 - 5) / 30 * x2)
      ahat2 = 1j * x2 * (m2 - 1) / 15 * (1 - x2 / 14) / \
          (2 * m2 + 3 - (2 * m2 - 7) / 14 * x2)
  
      T = abs(ahat1)**2 + abs(bhat1)**2 + 5 / 3 * abs(ahat2)**2
      temp = ahat2 + bhat1
      g = (ahat1 * temp.conjugate()).real / T
  
      qsca = 6 * x**4 * T
  
      if m.imag == 0:
          qext = qsca
      else:
          qext = 6 * x * (ahat1 + bhat1 + 5 * ahat2 / 3).real
  
      sback = 1.5 * x**3 * (ahat1 - bhat1 - 5 * ahat2 / 3)
      qback = 4*abs(sback)**2/x2
  
      return [qext, qsca, qback, g]
code_tokens: def _small_mie ( m , x ) : m2 = m * m x2 = x * x D = m2 + 2 + ( 1 - 0.7 * m2 ) * x2 - ( 8 * m ** 4 - 385 * m2 + 350 ) * x ** 4 / 1400.0 + 2j * ( m2 - 1 ) * x ** 3 * ( 1 - 0.1 * x2 ) / 3 ahat1 = 2j * ( m2 - 1 ) / 3 * ( 1 - 0.1 * x2 + ( 4 * m2 + 5 ) * x ** 4 / 1400 ) / D bhat1 = 1j * x2 * ( m2 - 1 ) / 45 * ( 1 + ( 2 * m2 - 5 ) / 70 * x2 ) / ( 1 - ( 2 * m2 - 5 ) / 30 * x2 ) ahat2 = 1j * x2 * ( m2 - 1 ) / 15 * ( 1 - x2 / 14 ) / ( 2 * m2 + 3 - ( 2 * m2 - 7 ) / 14 * x2 ) T = abs ( ahat1 ) ** 2 + abs ( bhat1 ) ** 2 + 5 / 3 * abs ( ahat2 ) ** 2 temp = ahat2 + bhat1 g = ( ahat1 * temp . conjugate ( ) ) . real / T qsca = 6 * x ** 4 * T if m . imag == 0 : qext = qsca else : qext = 6 * x * ( ahat1 + bhat1 + 5 * ahat2 / 3 ) . real sback = 1.5 * x ** 3 * ( ahat1 - bhat1 - 5 * ahat2 / 3 ) qback = 4 * abs ( sback ) ** 2 / x2 return [ qext , qsca , qback , g ]
short_docstring: Calculate the efficiencies for a small sphere.
short_docstring_tokens: Calculate the efficiencies for a small sphere .
comment: """
      Calculate the efficiencies for a small sphere.
  
      Typically used for small spheres where x<0.1
  
      Args:
          m: the complex index of refraction of the sphere
          x: the size parameter of the sphere
  
      Returns:
          qext: the total extinction efficiency
          qsca: the scattering efficiency
          qback: the backscatter efficiency
          g: the average cosine of the scattering phase function
      """