"""Berendsen NPT dynamics class."""

import numpy as np

from ase.md.nvtberendsen import NVTBerendsen
import ase.units as units


class NPTBerendsen(NVTBerendsen):
    """Berendsen (constant N, P, T) molecular dynamics.
    
    This dynamics scale the velocities and volumes to maintain a constant
    pressure and temperature.  The shape of the simulation cell is not
    altered, if that is desired use Inhomogenous_NPTBerendsen.

    Usage: NPTBerendsen(atoms, timestep, temperature, taut, pressure, taup)

    atoms
        The list of atoms.
        
    timestep
        The time step.

    temperature
        The desired temperature, in Kelvin.

    taut
        Time constant for Berendsen temperature coupling.

    fixcm
        If True, the position and momentum of the center of mass is
        kept unperturbed.  Default: True.

    pressure
        The desired pressure, in bar (1 bar = 1e5 Pa).

    taup
        Time constant for Berendsen pressure coupling.

    compressibility
        The compressibility of the material, water 4.57E-5 bar-1, in bar-1

    """

    def __init__(self, atoms, timestep, temperature, taut=0.5e3 * units.fs,
                 pressure=1.01325, taup=1e3 * units.fs,
                 compressibility=4.57e-5, fixcm=True,
                 trajectory=None, logfile=None, loginterval=1):

        NVTBerendsen.__init__(self, atoms, timestep, temperature, taut, fixcm,
                              trajectory,
                              logfile, loginterval)
        self.taup = taup
        self.pressure = pressure
        self.compressibility = compressibility

    def set_taup(self, taut):
        self.taut = taut

    def get_taup(self):
        return self.taut

    def set_pressure(self, pressure):
        self.pressure = pressure

    def get_pressure(self):
        return self.pressure

    def set_compressibility(self, compressibility):
        self.compressibility = compressibility

    def get_compressibility(self):
        return self.compressibility

    def set_timestep(self, timestep):
        self.dt = timestep

    def get_timestep(self):
        return self.dt

    def scale_positions_and_cell(self):
        """ Do the Berendsen pressure coupling,
        scale the atom positon and the simulation cell."""

        taupscl = self.dt / self.taup
        stress = self.atoms.get_stress(voigt=False)
        old_pressure = -stress.trace() / 3 * 1e-5 / units.Pascal
        scl_pressure = (1.0 - taupscl * self.compressibility / 3.0 *
                        (self.pressure - old_pressure))

        #print "old_pressure", old_pressure
        #print "volume scaling by:", scl_pressure

        cell = self.atoms.get_cell()
        cell = scl_pressure * cell
        self.atoms.set_cell(cell, scale_atoms=True)

    def step(self, f):
        """ move one timestep forward using Berenden NPT molecular dynamics."""

        NVTBerendsen.scale_velocities(self)
        self.scale_positions_and_cell()

        #one step velocity verlet
        atoms = self.atoms
        p = self.atoms.get_momenta()
        p += 0.5 * self.dt * f

        if self.fixcm:
            # calculate the center of mass
            # momentum and subtract it
            psum = p.sum(axis=0) / float(len(p))
            p = p - psum

        self.atoms.set_positions(
            self.atoms.get_positions() +
            self.dt * p / self.atoms.get_masses()[:, np.newaxis])

        # We need to store the momenta on the atoms before calculating
        # the forces, as in a parallel Asap calculation atoms may
        # migrate during force calculations, and the momenta need to
        # migrate along with the atoms.  For the same reason, we
        # cannot use self.masses in the line above.

        self.atoms.set_momenta(p)
        f = self.atoms.get_forces()
        atoms.set_momenta(self.atoms.get_momenta() + 0.5 * self.dt * f)

        return f

        
class Inhomogeneous_NPTBerendsen(NPTBerendsen):
    """Berendsen (constant N, P, T) molecular dynamics.
    
    This dynamics scale the velocities and volumes to maintain a constant
    pressure and temperature.  The size of the unit cell is allowed to change
    independently in the three directions, but the angles remain constant.

    Usage: NPTBerendsen(atoms, timestep, temperature, taut, pressure, taup)

    atoms
        The list of atoms.
        
    timestep
        The time step.

    temperature
        The desired temperature, in Kelvin.

    taut
        Time constant for Berendsen temperature coupling.

    fixcm
        If True, the position and momentum of the center of mass is
        kept unperturbed.  Default: True.

    pressure
        The desired pressure, in bar (1 bar = 1e5 Pa).

    taup
        Time constant for Berendsen pressure coupling.

    compressibility
        The compressibility of the material, water 4.57E-5 bar-1, in bar-1

    """
    def scale_positions_and_cell(self):
        """ Do the Berendsen pressure coupling,
        scale the atom positon and the simulation cell."""

        taupscl = self.dt * self.compressibility / self.taup / 3.0
        stress = - self.atoms.get_stress() * 1e-5 / units.Pascal
        if stress.shape == (6,):
            stress = stress[:3]
        elif stress.shape == (3, 3):
            stress = [stress[i][i] for i in range(3)]
        else:
            raise ValueError('Cannot use a stress tensor of shape ' +
                             str(stress.shape))
        pbc = self.atoms.get_pbc()
        scl_pressurex = 1.0 - taupscl * (self.pressure - stress[0]) * pbc[0]
        scl_pressurey = 1.0 - taupscl * (self.pressure - stress[1]) * pbc[1]
        scl_pressurez = 1.0 - taupscl * (self.pressure - stress[2]) * pbc[2]
        
        cell = self.atoms.get_cell()
        cell = np.array([scl_pressurex * cell[0],
                         scl_pressurey * cell[1],
                         scl_pressurez * cell[2]])
        self.atoms.set_cell(cell, scale_atoms=True)
