def I(r, limbdark):
  '''
  The standard quadratic limb darkening law.
  
  :param ndarray r: The radius vector
  :param limbdark: A :py:class:`pysyzygy.transit.LIMBDARK` instance containing 
                   the limb darkening law information
  
  :returns: The stellar intensity as a function of `r`
  
  '''
  
  if limbdark.ldmodel == QUADRATIC:
    u1 = limbdark.u1
    u2 = limbdark.u2
    return (1-u1*(1-np.sqrt(1-r**2))-u2*(1-np.sqrt(1-r**2))**2)/(1-u1/3-u2/6)/np.pi
  elif limbdark.ldmodel == KIPPING:
    a = np.sqrt(limbdark.q1)
    b = 2*limbdark.q2
    u1 = a*b
    u2 = a*(1 - b)
    return (1-u1*(1-np.sqrt(1-r**2))-u2*(1-np.sqrt(1-r**2))**2)/(1-u1/3-u2/6)/np.pi
  elif limbdark.ldmodel == NONLINEAR:
    raise Exception('Nonlinear model not yet implemented!')                           # TODO!
  else:
    raise Exception('Invalid limb darkening model.')
def I(r, limbdark):
  '''
  The standard quadratic limb darkening law.
  
  :param ndarray r: The radius vector
  :param limbdark: A :py:class:`pysyzygy.transit.LIMBDARK` instance containing 
                   the limb darkening law information
  
  :returns: The stellar intensity as a function of `r`
  
  '''
  
  if limbdark.ldmodel == QUADRATIC:
    u1 = limbdark.u1
    u2 = limbdark.u2
    return (1-u1*(1-np.sqrt(1-r**2))-u2*(1-np.sqrt(1-r**2))**2)/(1-u1/3-u2/6)/np.pi
  elif limbdark.ldmodel == KIPPING:
    a = np.sqrt(limbdark.q1)
    b = 2*limbdark.q2
    u1 = a*b
    u2 = a*(1 - b)
    return (1-u1*(1-np.sqrt(1-r**2))-u2*(1-np.sqrt(1-r**2))**2)/(1-u1/3-u2/6)/np.pi
  elif limbdark.ldmodel == NONLINEAR:
    raise Exception('Nonlinear model not yet implemented!')                           # TODO!
  else:
    raise Exception('Invalid limb darkening model.')
def I ( r , limbdark ) : if limbdark . ldmodel == QUADRATIC : u1 = limbdark . u1 u2 = limbdark . u2 return ( 1 - u1 * ( 1 - np . sqrt ( 1 - r ** 2 ) ) - u2 * ( 1 - np . sqrt ( 1 - r ** 2 ) ) ** 2 ) / ( 1 - u1 / 3 - u2 / 6 ) / np . pi elif limbdark . ldmodel == KIPPING : a = np . sqrt ( limbdark . q1 ) b = 2 * limbdark . q2 u1 = a * b u2 = a * ( 1 - b ) return ( 1 - u1 * ( 1 - np . sqrt ( 1 - r ** 2 ) ) - u2 * ( 1 - np . sqrt ( 1 - r ** 2 ) ) ** 2 ) / ( 1 - u1 / 3 - u2 / 6 ) / np . pi elif limbdark . ldmodel == NONLINEAR : raise Exception ( 'Nonlinear model not yet implemented!' ) # TODO! else : raise Exception ( 'Invalid limb darkening model.' )
The standard quadratic limb darkening law.
  
  :param ndarray r: The radius vector
  :param limbdark: A :py:class:`pysyzygy.transit.LIMBDARK` instance containing 
                   the limb darkening law information
  
  :returns: The stellar intensity as a function of `r`
The standard quadratic limb darkening law . : param ndarray r : The radius vector : param limbdark : A : py : class : pysyzygy . transit . LIMBDARK instance containing the limb darkening law information : returns : The stellar intensity as a function of r