Initial Translation of SetGlobals

Initial work in the tradution of SetGlobals and Logistics in the use of classes for the management of processes and threaded works

Signed-off-by: Vitor Hideyoshi <vitor.h.n.batista@gmail.com>
This commit is contained in:
2021-07-19 16:59:03 -03:00
parent ec08e05614
commit a1ff35eba6
3 changed files with 544 additions and 449 deletions

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DPpack/Molhandling.py Normal file
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from DPpack.MolHandling import total_mass
import os, sys
import math
import shutil
import textwrap
import sys, math
from copy import deepcopy
import numpy as np
from numpy import linalg
from DPpack.Misc import *
from DPpack.PTable import *
from DPpack.SetGlobals import *
# Usaremos uma nova classe que ira conter toda interação entre moleculas
class System:
def __init__(self):
self.molecule = []
def add_molecule(self, m):
self.molecule.append(m)
# Função que calcula a distância entre dois centros de massa
# e por se tratar de uma função de dois atomos não deve ser
# inserida dentro de Molecule
def center_of_mass_distance(self, a, b):
com1 = self.molecule[a].center_of_mass()
com2 = self.molecule[b].center_of_mass()
dx = com1[0] - com2[0]
dy = com1[1] - com2[1]
dz = com1[2] - com2[2]
distance = math.sqrt(dx**2 + dy**2 + dz**2)
return distance
def minimum_distance(self, index1, index2):
distances = []
for atom1 in self.molecule[index1]:
if atom1.na != ghost_number:
for atom2 in self.molecule[index2]:
if atom2.na != ghost_number:
dx = atom1.rx - atom2.rx
dy = atom1.ry - atom2.ry
dz = atom1.rz - atom2.rz
distances.append(math.sqrt(dx**2 + dy**2 + dz**2))
return min(distances)
def rmsd_fit(self, index_p, index_r):
projecting_mol = self.molecule[index_p]
reference_mol = self.molecule[index_r]
if len(projecting_mol.atom) != len(reference_mol.atom):
sys.exit("Error in RMSD fit procedure: molecules have different number of atoms")
dim = len(projecting_mol.atom)
new_projecting_mol = deepcopy(projecting_mol)
new_reference_mol = deepcopy(reference_mol)
new_projecting_mol.center_of_mass_to_origin()
new_reference_mol.center_of_mass_to_origin()
x = []
y = []
for atom in new_projecting_mol:
x.extend([ atom.rx, atom.ry, atom.rz ])
for atom in new_reference_mol:
y.extend([ atom.rx, atom.ry, atom.rz ])
x = np.array(x).reshape(dim, 3)
y = np.array(y).reshape(dim, 3)
r = np.matmul(y.T, x)
rr = np.matmul(r.T, r)
try:
evals, evecs = linalg.eigh(rr)
except:
sys.exit("Error: diagonalization of RR matrix did not converge")
a1 = evecs[:,2].T
a2 = evecs[:,1].T
a3 = np.cross(a1, a2)
A = np.array([ a1[0], a1[1], a1[2], a2[0], a2[1], a2[2], a3[0], a3[1], a3[2] ])
A = A.reshape(3,3)
b1 = np.matmul(r, a1.T).T # or np.dot(r, a1)
b1 /= linalg.norm(b1)
b2 = np.matmul(r, a2.T).T # or np.dot(r, a2)
b2 /= linalg.norm(b2)
b3 = np.cross(b1, b2)
B = np.array([ b1[0], b1[1], b1[2], b2[0], b2[1], b2[2], b3[0], b3[1], b3[2] ])
B = B.reshape(3,3).T
rot_matrix = np.matmul(B, A)
x = np.matmul(rot_matrix, x.T).T
rmsd = 0
for i in range(dim):
rmsd += (x[i,0] - y[i,0])**2 + (x[i,1] - y[i,1])**2 + (x[i,2] - y[i,2])**2
rmsd = math.sqrt(rmsd/dim)
for i in range(dim):
new_projecting_mol.atom[i].rx = x[i,0]
new_projecting_mol.atom[i].ry = x[i,1]
new_projecting_mol.atom[i].rz = x[i,2]
tr_vector = reference_mol.center_of_mass()
projected_mol = new_projecting_mol.translate(tr_vector)
return rmsd, projected_mol
def update_molecule(self, position, fh):
position_in_ang = (position * bohr2ang).tolist()
self.add_molecule(deepcopy(self.molecule[0]))
for atom in self.molecule[-1].atom:
atom.rx = position_in_ang.pop(0)
atom.ry = position_in_ang.pop(0)
atom.rz = position_in_ang.pop(0)
rmsd, self.molecule[0] = self.rmsd_fit(-1, 0)
self.molecule.pop(-1)
fh.write("\nProjected new conformation of reference molecule with RMSD fit\n")
fh.write("RMSD = {:>8.5f} Angstrom\n".format(rmsd))
def nearest_image(self, index_r, index_m, lx, ly, lz, criterium=None):
if criterium in None:
criterium = "com"
if criterium != "com" and criterium != "min":
sys.exit("Error in value passed to function nearest_image")
min_dist = 1e20
for i in range(-1, 2):
for j in range(-1, 2):
for k in range(-1, 2):
tr_vector = [i * lx, j * ly, k * lz]
self.add_molecule(self.molecule[index_m].translate(tr_vector))
if criterium == "com":
dist = self.center_of_mass_distance(index_r, -1)
else:
dist = self.minimum_distance(index_r, -1)
if dist < min_dist:
min_dist = dist
nearestmol = deepcopy(self.molecule[-1])
self.molecule.pop(-1)
return min_dist, nearestmol
def print_geom(self, cycle, fh):
fh.write("{}\n".format(len(self.molecule[0])))
fh.write("Cycle # {}\n".format(cycle))
for atom in self.molecule[0].atoms:
symbol = atomsymb[atom.na]
fh.write("{:<2s} {:>10.6f} {:>10.6f} {:>10.6f}\n".format(symbol,
atom.rx, atom.ry, atom.rz))
# Classe que conterá toda informação e funções relacionadas a uma unica molecula
class Molecule:
def __init__(self):
self.atom = [] # Lista de instancias de Atom
self.position = None # Array Numpy
self.energy = None # Array Numpy
self.gradient = None # Array Numpy
self.hessian = None # Array Numpy
self.total_mass = 0
def add_atom(self, a):
self.atom.append(a) # Inserção de um novo atomo
self.total_mass += a.mass
def center_of_mass(self):
com = np.zeros(3)
total_mass = 0.0
for atom in self.atom:
total_mass += atom.mass
com += atom.mass * np.array([atom.rx, atom.ry, atom.rz])
com = com / total_mass
return com
def center_of_mass_to_origin(self):
com = self.center_of_mass()
for atom in self.atom:
atom.rx -= com[0]
atom.ry -= com[1]
atom.rz -= com[2]
def charges_and_dipole(self):
eA_to_Debye = 1/0.20819434
charge = 0
dipole = np.zeros(3)
for atom in self.atom:
position = np.array([ atom.rx, atom.ry, atom.rz ])
dipole += atom.chg * position
charge += atom.chg
dipole *= eA_to_Debye
total_dipole = math.sqrt(dipole[0]**2 + dipole[1]**2 + dipole[2]**2)
return [charge, dipole[0], dipole[1], dipole[2], total_dipole]
def distances_between_atoms(self):
distances = []
dim = len(self.atom)
for atom1 in self.atom:
if atom1.na != ghost_number:
for atom2 in self.atom:
if atom2.na != ghost_number:
dx = atom1.rx - atom2.rx
dy = atom1.ry - atom2.ry
dz = atom1.rz - atom2.rz
distances.append(math.sqrt(dx**2 + dy**2 + dz**2))
return np.array(distances).reshape(dim, dim)
def eixos(self):
eixos = np.zeros(3)
if len(self.atom) == 2:
position1 = np.array([ self.atom[0].rx, self.atom[0].ry, self.atom[0].rz ])
position2 = np.array([ self.atom[1].rx, self.atom[1].ry, self.atom[1].rz ])
eixos = position2 - position1
eixos /= linalg.norm(eixos)
elif len(self.atom) > 2:
position1 = np.array([ self.atom[0].rx, self.atom[0].ry, self.atom[0].rz ])
position2 = np.array([ self.atom[1].rx, self.atom[1].ry, self.atom[1].rz ])
position3 = np.array([ self.atom[2].rx, self.atom[2].ry, self.atom[2].rz ])
v1 = position2 - position1
v2 = position3 - position1
v3 = np.cross(v1, v2)
v2 = np.cross(v1, v3)
v1 /= linalg.norm(v1)
v2 /= linalg.norm(v2)
v3 /= linalg.norm(v3)
eixos = np.array([[v1[0], v1[1], v1[2]],
[v2[0], v2[1], v2[2]],
[v3[0], v3[1], v3[2]]])
return eixos
def inertia_tensor(self):
com = self.center_of_mass()
Ixx = Ixy = Ixz = Iyy = Iyz = Izz = 0.0
for atom in self.atom:
#### Obtain the displacement from the center of mass
dx = atom.rx - com[0]
dy = atom.ry - com[1]
dz = atom.rz - com[2]
#### Update the diagonal components of the tensor
Ixx += atom.mass * (dy**2 + dz**2)
Iyy += atom.mass * (dz**2 + dx**2)
Izz += atom.mass * (dx**2 + dy**2)
#### Update the off-diagonal components of the tensor
Ixy += atom.mass * dx * dy * -1
Ixz += atom.mass * dx * dz * -1
Iyz += atom.mass * dy * dz * -1
return np.array([ [Ixx, Ixy, Ixz],
[Ixy, Iyy, Iyz],
[Ixz, Iyz, Izz] ])
def principal_axes(self):
try:
evals, evecs = linalg.eigh(self.inertia_tensor())
except:
sys.exit("Error: diagonalization of inertia tensor did not converge")
return evals, evecs
def read_position(self):
position_list = []
for atom in self.atom:
position_list.extend([ atom.rx, atom.ry, atom.rz ])
position = np.array(position_list)
position *= ang2bohr
return position
def update_hessian(self, step, cur_gradient): ## According to the BFGS
dif_gradient = cur_gradient - self.gradient
mat1 = 1/np.dot(dif_gradient, step) * np.matmul(dif_gradient.T, dif_gradient)
mat2 = 1/np.dot(step, np.matmul(self.hessian, step.T).T)
mat2 *= np.matmul( np.matmul(self.hessian, step.T), np.matmul(step, hessian) )
self.hessian += mat1 - mat2
def sizes_of_molecule(self):
x_list = []
y_list = []
z_list = []
for atom in self.atom:
if atom.na != ghost_number:
x_list.append(atom.rx)
y_list.append(atom.ry)
z_list.append(atom.rz)
x_max = max(x_list)
x_min = min(x_list)
y_max = max(y_list)
y_min = min(y_list)
z_max = max(z_list)
z_min = min(z_list)
sizes = [x_max - x_min, y_max - y_min, z_max - z_min]
return sizes
def standard_orientation(self):
self.center_of_mass_to_origin()
tensor = self.inertia_tensor()
evals, evecs = self.principal_axes()
if round(linalg.det(evecs)) == -1:
evecs[0,2] *= -1
evecs[1,2] *= -1
evecs[2,2] *= -1
if round(linalg.det(evecs)) != 1:
sys.exit("Error: could not make a rotation matrix while adopting the standard orientation")
rot_matrix = evecs.T
for atom in self.atom:
position = np.array([ atom.rx, atom.ry, atom.rz ])
new_position = np.matmul(rot_matrix, position.T).T
atom.rx = new_position[0]
atom.ry = new_position[1]
atom.rz = new_position[2]
def translate(self, vector):
new_molecule = deepcopy(self)
for atom in new_molecule.atom:
atom.rx += vector[0]
atom.ry += vector[1]
atom.rz += vector[2]
return new_molecule
def print_mol_info(self, fh):
com = self.center_of_mass()
fh.write(" Center of mass = ( {:>10.4f} , {:>10.4f} , {:>10.4f} )\n".format(com[0],
com[1], com[2]))
inertia = self.inertia_tensor()
evals, evecs = self.principal_axes()
fh.write(" Moments of inertia = {:>9E} {:>9E} {:>9E}\n".format(evals[0],
evals[1], evals[2]))
fh.write(" Major principal axis = ( {:>10.6f} , {:>10.6f} , {:>10.6f} )\n".format(
evecs[0,0], evecs[1,0], evecs[2,0]))
fh.write(" Inter principal axis = ( {:>10.6f} , {:>10.6f} , {:>10.6f} )\n".format(
evecs[0,1], evecs[1,1], evecs[2,1]))
fh.write(" Minor principal axis = ( {:>10.6f} , {:>10.6f} , {:>10.6f} )\n".format(
evecs[0,2], evecs[1,2], evecs[2,2]))
sizes = self.sizes_of_molecule()
fh.write(" Characteristic lengths = ( {:>6.2f} , {:>6.2f} , {:>6.2f} )\n".format(
sizes[0], sizes[1], sizes[2]))
mol_mass = self.total_mass()
fh.write(" Total mass = {:>8.2f} au\n".format(mol_mass))
chg_dip = self.charges_and_dipole()
fh.write(" Total charge = {:>8.4f} e\n".format(chg_dip[0]))
fh.write(" Dipole moment = ( {:>9.4f} , {:>9.4f} , {:>9.4f} ) Total = {:>9.4f} Debye\n\n".format(
chg_dip[1], chg_dip[2], chg_dip[3], chg_dip[4]))
def calculate_step(self, fh):
invhessian = linalg.inv(self.hessian)
pre_step = -1 * np.matmul(invhessian, self.gradient.T).T
maxstep = np.amax(np.absolute(pre_step))
factor = min(1, player['maxstep']/maxstep)
step = factor * pre_step
fh.write("\nCalculated step:\n")
pre_step_list = pre_step.tolist()
fh.write("-----------------------------------------------------------------------\n"
"Center Atomic Step (Bohr)\n"
"Number Number X Y Z\n"
"-----------------------------------------------------------------------\n")
for i in range(len(molecules[0])):
fh.write(" {:>5d} {:>3d} {:>14.9f} {:>14.9f} {:>14.9f}\n".format(
i + 1, molecules[0][i]['na'],
pre_step_list.pop(0), pre_step_list.pop(0), pre_step_list.pop(0)))
fh.write("-----------------------------------------------------------------------\n")
fh.write("Maximum step is {:>11.6}\n".format(maxstep))
fh.write("Scaling factor = {:>6.4f}\n".format(factor))
fh.write("\nFinal step (Bohr):\n")
step_list = step.tolist()
fh.write("-----------------------------------------------------------------------\n"
"Center Atomic Step (Bohr)\n"
"Number Number X Y Z\n"
"-----------------------------------------------------------------------\n")
for i in range(len(molecules[0])):
fh.write(" {:>5d} {:>3d} {:>14.9f} {:>14.9f} {:>14.9f}\n".format(
i + 1, molecules[0][i]['na'],
step_list.pop(0), step_list.pop(0), step_list.pop(0)))
fh.write("-----------------------------------------------------------------------\n")
step_max = np.amax(np.absolute(step))
step_rms = np.sqrt(np.mean(np.square(step)))
fh.write(" Max Step = {:>14.9f} RMS Step = {:>14.9f}\n\n".format(
step_max, step_rms))
return step
class Atom:
def __init__(self, lbl,na,rx,ry,rz,chg,eps,sig):
self.lbl = lbl # Integer
self.na = na # Integer
self.rx = rx # Double
self.ry = ry # Double
self.rz = rz # Double
self.chg = chg # Double
self.eps = eps # Double
self.sig = sig # Double
self.mass = atommass[self.na] # Double

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from DPpack.MolHandling import total_mass
import os, sys
import math
import shutil
import textwrap
import sys, math
from copy import deepcopy
import numpy as np
from numpy import linalg
from DPpack.Misc import *
from DPpack.PTable import *
from DPpack.SetGlobals import *
from DPpack.Misc import *
# Usaremos uma nova classe que ira conter toda interação entre moleculas
class System:
class Internal:
def __init__(self):
self.molecule = []
self.player = self.Player()
self.dice = self.Dice()
self.gaussian = self.Gaussian()
self.molca = self.Molca()
def add_molecule(self, m):
## Constanst that shall be set for global use
self.molecule.append(m)
self.tol_rms_force = 3e-4 # Hartree/Bohr
self.tol_max_force = 4.5e-4 # Hartree/Bohr
self.tol_rms_step = 1.2e-3 # Bohr
self.tol_max_step = 1.8e-3 # Bohr
self.trust_radius = None
# Função que calcula a distância entre dois centros de massa
# e por se tratar de uma função de dois atomos não deve ser
# inserida dentro de Molecule
def center_of_mass_distance(self, a, b):
## Dice:
self.combrule = None
self.randominit = None
com1 = self.molecule[a].center_of_mass()
com2 = self.molecule[b].center_of_mass()
dx = com1[0] - com2[0]
dy = com1[1] - com2[1]
dz = com1[2] - com2[2]
distance = math.sqrt(dx**2 + dy**2 + dz**2)
class Player:
return distance
def __init__(self):
def minimum_distance(self, index1, index2):
self.maxcyc = None
self.initcyc = 1
self.nprocs = 1
self.switchcyc = 3
self.altsteps = 20000
self.maxstep = .3
self.qmprog = "g09"
self.opt = "yes"
self.freq = "no"
self.readhessian = "no"
self.lps = "no"
self.ghosts = "no"
self.vdwforces = "no"
self.tol_factor = 1.2
distances = []
for atom1 in self.molecule[index1]:
if atom1.na != ghost_number:
for atom2 in self.molecule[index2]:
if atom2.na != ghost_number:
dx = atom1.rx - atom2.rx
dy = atom1.ry - atom2.ry
dz = atom1.rz - atom2.rz
distances.append(math.sqrt(dx**2 + dy**2 + dz**2))
return min(distances)
def rmsd_fit(self, index_p, index_r):
class Dice:
projecting_mol = self.molecule[index_p]
reference_mol = self.molecule[index_r]
def __init__(self):
if len(projecting_mol.atom) != len(reference_mol.atom):
sys.exit("Error in RMSD fit procedure: molecules have different number of atoms")
dim = len(projecting_mol.atom)
self.title = "Diceplayer run"
self.progname = "dice"
self.temp = 300.0
self.press = 1.0
self.isave = 1000 # ASEC construction will take this into account
self.ncores = 1
new_projecting_mol = deepcopy(projecting_mol)
new_reference_mol = deepcopy(reference_mol)
self.dens = None # Investigate the possibility of using 'box = Lx Ly Lz' instead.
#dice['box'] = None # So 'geom' would be set by diceplayer and 'cutoff' would be
# switched off. One of them must be given.
self.ljname = None
self.outname = None
self.nmol = [] # Up to 4 integer values related to up to 4 molecule types
self.nstep = [] # 2 or 3 integer values related to 2 or 3 simulations
# (NVT th + NVT eq) or (NVT th + NPT th + NPT eq).
# This will control the 'nstep' keyword of Dice
new_projecting_mol.center_of_mass_to_origin()
new_reference_mol.center_of_mass_to_origin()
x = []
y = []
class Gaussian:
for atom in new_projecting_mol:
x.extend([ atom.rx, atom.ry, atom.rz ])
def __init__(self):
for atom in new_reference_mol:
y.extend([ atom.rx, atom.ry, atom.rz ])
self.mem = None
self.keywords = None
self.chgmult = [0, 1]
self.gmiddle = None # In each case, if a filename is given, its content will be
self.gbottom = None # inserted in the gaussian input
self.pop = "chelpg"
self.chglevel = None
x = np.array(x).reshape(dim, 3)
y = np.array(y).reshape(dim, 3)
self.level = None
r = np.matmul(y.T, x)
rr = np.matmul(r.T, r)
class Molcas:
try:
evals, evecs = linalg.eigh(rr)
except:
sys.exit("Error: diagonalization of RR matrix did not converge")
def __init(self):
a1 = evecs[:,2].T
a2 = evecs[:,1].T
a3 = np.cross(a1, a2)
self.orbfile = "input.exporb"
self.root = 1
A = np.array([ a1[0], a1[1], a1[2], a2[0], a2[1], a2[2], a3[0], a3[1], a3[2] ])
A = A.reshape(3,3)
b1 = np.matmul(r, a1.T).T # or np.dot(r, a1)
b1 /= linalg.norm(b1)
b2 = np.matmul(r, a2.T).T # or np.dot(r, a2)
b2 /= linalg.norm(b2)
b3 = np.cross(b1, b2)
B = np.array([ b1[0], b1[1], b1[2], b2[0], b2[1], b2[2], b3[0], b3[1], b3[2] ])
B = B.reshape(3,3).T
rot_matrix = np.matmul(B, A)
x = np.matmul(rot_matrix, x.T).T
rmsd = 0
for i in range(dim):
rmsd += (x[i,0] - y[i,0])**2 + (x[i,1] - y[i,1])**2 + (x[i,2] - y[i,2])**2
rmsd = math.sqrt(rmsd/dim)
for i in range(dim):
new_projecting_mol.atom[i].rx = x[i,0]
new_projecting_mol.atom[i].ry = x[i,1]
new_projecting_mol.atom[i].rz = x[i,2]
tr_vector = reference_mol.center_of_mass()
projected_mol = new_projecting_mol.translate(tr_vector)
return rmsd, projected_mol
def update_molecule(self, position, fh):
position_in_ang = (position * bohr2ang).tolist()
self.add_molecule(deepcopy(self.molecule[0]))
for atom in self.molecule[-1].atom:
atom.rx = position_in_ang.pop(0)
atom.ry = position_in_ang.pop(0)
atom.rz = position_in_ang.pop(0)
rmsd, self.molecule[0] = self.rmsd_fit(-1, 0)
self.molecule.pop(-1)
fh.write("\nProjected new conformation of reference molecule with RMSD fit\n")
fh.write("RMSD = {:>8.5f} Angstrom\n".format(rmsd))
def nearest_image(self, index_r, index_m, lx, ly, lz, criterium=None):
if criterium in None:
criterium = "com"
if criterium != "com" and criterium != "min":
sys.exit("Error in value passed to function nearest_image")
min_dist = 1e20
for i in range(-1, 2):
for j in range(-1, 2):
for k in range(-1, 2):
tr_vector = [i * lx, j * ly, k * lz]
self.add_molecule(self.molecule[index_m].translate(tr_vector))
if criterium == "com":
dist = self.center_of_mass_distance(index_r, -1)
else:
dist = self.minimum_distance(index_r, -1)
if dist < min_dist:
min_dist = dist
nearestmol = deepcopy(self.molecule[-1])
self.molecule.pop(-1)
return min_dist, nearestmol
def print_geom(self, cycle, fh):
fh.write("{}\n".format(len(self.molecule[0])))
fh.write("Cycle # {}\n".format(cycle))
for atom in self.molecule[0].atoms:
symbol = atomsymb[atom.na]
fh.write("{:<2s} {:>10.6f} {:>10.6f} {:>10.6f}\n".format(symbol,
atom.rx, atom.ry, atom.rz))
# Classe que conterá toda informação e funções relacionadas a uma unica molecula
class Molecule:
def __init__(self):
self.atom = [] # Lista de instancias de Atom
self.position = None # Array Numpy
self.energy = None # Array Numpy
self.gradient = None # Array Numpy
self.hessian = None # Array Numpy
self.total_mass = 0
def add_atom(self, a):
self.atom.append(a) # Inserção de um novo atomo
self.total_mass += a.mass
def center_of_mass(self):
com = np.zeros(3)
total_mass = 0.0
for atom in self.atom:
total_mass += atom.mass
com += atom.mass * np.array([atom.rx, atom.ry, atom.rz])
com = com / total_mass
return com
def center_of_mass_to_origin(self):
com = self.center_of_mass()
for atom in self.atom:
atom.rx -= com[0]
atom.ry -= com[1]
atom.rz -= com[2]
def charges_and_dipole(self):
eA_to_Debye = 1/0.20819434
charge = 0
dipole = np.zeros(3)
for atom in self.atom:
position = np.array([ atom.rx, atom.ry, atom.rz ])
dipole += atom.chg * position
charge += atom.chg
dipole *= eA_to_Debye
total_dipole = math.sqrt(dipole[0]**2 + dipole[1]**2 + dipole[2]**2)
return [charge, dipole[0], dipole[1], dipole[2], total_dipole]
def distances_between_atoms(self):
distances = []
dim = len(self.atom)
for atom1 in self.atom:
if atom1.na != ghost_number:
for atom2 in self.atom:
if atom2.na != ghost_number:
dx = atom1.rx - atom2.rx
dy = atom1.ry - atom2.ry
dz = atom1.rz - atom2.rz
distances.append(math.sqrt(dx**2 + dy**2 + dz**2))
return np.array(distances).reshape(dim, dim)
def eixos(self):
eixos = np.zeros(3)
if len(self.atom) == 2:
position1 = np.array([ self.atom[0].rx, self.atom[0].ry, self.atom[0].rz ])
position2 = np.array([ self.atom[1].rx, self.atom[1].ry, self.atom[1].rz ])
eixos = position2 - position1
eixos /= linalg.norm(eixos)
elif len(self.atom) > 2:
position1 = np.array([ self.atom[0].rx, self.atom[0].ry, self.atom[0].rz ])
position2 = np.array([ self.atom[1].rx, self.atom[1].ry, self.atom[1].rz ])
position3 = np.array([ self.atom[2].rx, self.atom[2].ry, self.atom[2].rz ])
v1 = position2 - position1
v2 = position3 - position1
v3 = np.cross(v1, v2)
v2 = np.cross(v1, v3)
v1 /= linalg.norm(v1)
v2 /= linalg.norm(v2)
v3 /= linalg.norm(v3)
eixos = np.array([[v1[0], v1[1], v1[2]],
[v2[0], v2[1], v2[2]],
[v3[0], v3[1], v3[2]]])
return eixos
def inertia_tensor(self):
com = self.center_of_mass()
Ixx = Ixy = Ixz = Iyy = Iyz = Izz = 0.0
for atom in self.atom:
#### Obtain the displacement from the center of mass
dx = atom.rx - com[0]
dy = atom.ry - com[1]
dz = atom.rz - com[2]
#### Update the diagonal components of the tensor
Ixx += atom.mass * (dy**2 + dz**2)
Iyy += atom.mass * (dz**2 + dx**2)
Izz += atom.mass * (dx**2 + dy**2)
#### Update the off-diagonal components of the tensor
Ixy += atom.mass * dx * dy * -1
Ixz += atom.mass * dx * dz * -1
Iyz += atom.mass * dy * dz * -1
return np.array([ [Ixx, Ixy, Ixz],
[Ixy, Iyy, Iyz],
[Ixz, Iyz, Izz] ])
def principal_axes(self):
try:
evals, evecs = linalg.eigh(self.inertia_tensor())
except:
sys.exit("Error: diagonalization of inertia tensor did not converge")
return evals, evecs
def read_position(self):
position_list = []
for atom in self.atom:
position_list.extend([ atom.rx, atom.ry, atom.rz ])
position = np.array(position_list)
position *= ang2bohr
return position
def update_hessian(self, step, cur_gradient): ## According to the BFGS
dif_gradient = cur_gradient - self.gradient
mat1 = 1/np.dot(dif_gradient, step) * np.matmul(dif_gradient.T, dif_gradient)
mat2 = 1/np.dot(step, np.matmul(self.hessian, step.T).T)
mat2 *= np.matmul( np.matmul(self.hessian, step.T), np.matmul(step, hessian) )
self.hessian += mat1 - mat2
def sizes_of_molecule(self):
x_list = []
y_list = []
z_list = []
for atom in self.atom:
if atom.na != ghost_number:
x_list.append(atom.rx)
y_list.append(atom.ry)
z_list.append(atom.rz)
x_max = max(x_list)
x_min = min(x_list)
y_max = max(y_list)
y_min = min(y_list)
z_max = max(z_list)
z_min = min(z_list)
sizes = [x_max - x_min, y_max - y_min, z_max - z_min]
return sizes
def standard_orientation(self):
self.center_of_mass_to_origin()
tensor = self.inertia_tensor()
evals, evecs = self.principal_axes()
if round(linalg.det(evecs)) == -1:
evecs[0,2] *= -1
evecs[1,2] *= -1
evecs[2,2] *= -1
if round(linalg.det(evecs)) != 1:
sys.exit("Error: could not make a rotation matrix while adopting the standard orientation")
rot_matrix = evecs.T
for atom in self.atom:
position = np.array([ atom.rx, atom.ry, atom.rz ])
new_position = np.matmul(rot_matrix, position.T).T
atom.rx = new_position[0]
atom.ry = new_position[1]
atom.rz = new_position[2]
def translate(self, vector):
new_molecule = deepcopy(self)
for atom in new_molecule.atom:
atom.rx += vector[0]
atom.ry += vector[1]
atom.rz += vector[2]
return new_molecule
def print_mol_info(self, fh):
com = self.center_of_mass()
fh.write(" Center of mass = ( {:>10.4f} , {:>10.4f} , {:>10.4f} )\n".format(com[0],
com[1], com[2]))
inertia = self.inertia_tensor()
evals, evecs = self.principal_axes()
fh.write(" Moments of inertia = {:>9E} {:>9E} {:>9E}\n".format(evals[0],
evals[1], evals[2]))
fh.write(" Major principal axis = ( {:>10.6f} , {:>10.6f} , {:>10.6f} )\n".format(
evecs[0,0], evecs[1,0], evecs[2,0]))
fh.write(" Inter principal axis = ( {:>10.6f} , {:>10.6f} , {:>10.6f} )\n".format(
evecs[0,1], evecs[1,1], evecs[2,1]))
fh.write(" Minor principal axis = ( {:>10.6f} , {:>10.6f} , {:>10.6f} )\n".format(
evecs[0,2], evecs[1,2], evecs[2,2]))
sizes = self.sizes_of_molecule()
fh.write(" Characteristic lengths = ( {:>6.2f} , {:>6.2f} , {:>6.2f} )\n".format(
sizes[0], sizes[1], sizes[2]))
mol_mass = self.total_mass()
fh.write(" Total mass = {:>8.2f} au\n".format(mol_mass))
chg_dip = self.charges_and_dipole()
fh.write(" Total charge = {:>8.4f} e\n".format(chg_dip[0]))
fh.write(" Dipole moment = ( {:>9.4f} , {:>9.4f} , {:>9.4f} ) Total = {:>9.4f} Debye\n\n".format(
chg_dip[1], chg_dip[2], chg_dip[3], chg_dip[4]))
def calculate_step(self, fh):
invhessian = linalg.inv(self.hessian)
pre_step = -1 * np.matmul(invhessian, self.gradient.T).T
maxstep = np.amax(np.absolute(pre_step))
factor = min(1, player['maxstep']/maxstep)
step = factor * pre_step
fh.write("\nCalculated step:\n")
pre_step_list = pre_step.tolist()
fh.write("-----------------------------------------------------------------------\n"
"Center Atomic Step (Bohr)\n"
"Number Number X Y Z\n"
"-----------------------------------------------------------------------\n")
for i in range(len(molecules[0])):
fh.write(" {:>5d} {:>3d} {:>14.9f} {:>14.9f} {:>14.9f}\n".format(
i + 1, molecules[0][i]['na'],
pre_step_list.pop(0), pre_step_list.pop(0), pre_step_list.pop(0)))
fh.write("-----------------------------------------------------------------------\n")
fh.write("Maximum step is {:>11.6}\n".format(maxstep))
fh.write("Scaling factor = {:>6.4f}\n".format(factor))
fh.write("\nFinal step (Bohr):\n")
step_list = step.tolist()
fh.write("-----------------------------------------------------------------------\n"
"Center Atomic Step (Bohr)\n"
"Number Number X Y Z\n"
"-----------------------------------------------------------------------\n")
for i in range(len(molecules[0])):
fh.write(" {:>5d} {:>3d} {:>14.9f} {:>14.9f} {:>14.9f}\n".format(
i + 1, molecules[0][i]['na'],
step_list.pop(0), step_list.pop(0), step_list.pop(0)))
fh.write("-----------------------------------------------------------------------\n")
step_max = np.amax(np.absolute(step))
step_rms = np.sqrt(np.mean(np.square(step)))
fh.write(" Max Step = {:>14.9f} RMS Step = {:>14.9f}\n\n".format(
step_max, step_rms))
return step
class Atom:
def __init__(self, lbl,na,rx,ry,rz,chg,eps,sig):
self.lbl = lbl # Integer
self.na = na # Integer
self.rx = rx # Double
self.ry = ry # Double
self.rz = rz # Double
self.chg = chg # Double
self.eps = eps # Double
self.sig = sig # Double
self.mass = atommass[self.na] # Double
self.mbottom = None
self.basis = None