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solvers.py
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solvers.py
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import pycuda.driver as cuda
import numpy as np
import integrator.symp_integrator as si
import postprocess.procedures as pp
from lattice import *
from misc_functions import *
"""
####################################################################
# Homogeneous evolution solver
####################################################################
"""
def run_hom(lat, V, sim, evo, postp, model, start, end, data_path, order = 4):
start.record()
data_folder = make_subdir(data_path, 'homog')
solve_hom(lat, V, sim, evo, postp, model, data_folder,
order)
write_csv(lat, data_folder, mode = 'homog')
"Synchronize:"
end.record()
end.synchronize()
def solve_hom(lat, V, sim, evo, postp, model, path, order = 4):
"""Solve homogeneous background evolution with an integrator of
a given order (=4 by default)."""
if order == 2:
while (sim.t_hom<model.t_fin_hom):
if (sim.i0_hom%(model.flush_freq_hom)==0):
evo.calc_rho_pres_hom(lat, V, sim, print_Q = True)
sim.flush_hom(lat, path)
sim.i0_hom += 1
evo.evo_step_bg_2(lat, V, sim, lat.dtau_hom/sim.a_hom)
elif order == 4:
while (sim.t_hom<model.t_fin_hom):
if (sim.i0_hom%(model.flush_freq_hom)==0):
evo.calc_rho_pres_hom(lat, V, sim, print_Q = True)
sim.flush_hom(lat, path)
sim.i0_hom += 1
evo.evo_step_bg_4(lat, V, sim, lat.dtau_hom/sim.a_hom)
elif order == 6:
while (sim.t_hom<model.t_fin_hom):
if (sim.i0_hom%(model.flush_freq_hom)==0):
evo.calc_rho_pres_hom(lat, V, sim, print_Q = True)
sim.flush_hom(lat, path)
sim.i0_hom += 1
evo.evo_step_bg_6(lat, V, sim, lat.dtau_hom/sim.a_hom)
elif order == 8:
while (sim.t_hom<model.t_fin_hom):
if (sim.i0_hom%(model.flush_freq_hom)==0):
evo.calc_rho_pres_hom(lat, V, sim, print_Q = True)
sim.flush_hom(lat, path)
sim.i0_hom += 1
evo.evo_step_bg_8(lat, V, sim, lat.dtau_hom/sim.a_hom)
"""
####################################################################
# Non-homogeneous evolution
####################################################################
"""
def reinit(lat, V, sim, evo, model, a_in, fields0, pis0):
"""This function will re-initialize the system to initial values
a_in, fields0, pis0:"""
sim.reinit(model, lat, V, a_in, fields0, pis0)
evo.update(lat, sim)
if model.saveQ:
sim.flush_freq = model.flush_freq
sim.adjust_fields(lat)
"Adjust p:"
evo.calc_rho_pres(lat, V, sim, print_Q = False, print_w=False, flush=False)
sim.adjust_p(lat)
def run_non_linear(lat, V, sim, evo, postp, model, start, end, data_path,
order = 4, endQ = 'time', adaptive = False, print_Q = True,
print_w = False, flush = True):
"""This function will solve the evolution of the system until
the condition set by endQ argument is false.
order = 2, 4, 6 or 8 the order of the non-linear integrator
start, end = Cuda timing functions
endQ = If endQ = 'time' uses sim.t < model.t_fin as condition whereas
endQ = 'H' uses H > 0.9*model.H_ref as the condition."""
start.record()
i0_sum = 0
path_list = []
ln_a_list = []
r_list = []
for i in xrange(1,model.sim_num+1):
print '\nSimulation run: ', i
if model.saveQ:
data_folder = make_subdir(data_path, sim_number=i)
path_list.append(data_folder)
else:
data_folder = None
"""Solve background and linearized perturbations if necessary
(This has not been tested thoroughly!):"""
if model.lin_evo:
print '\nLinearized simulatios:\n'
"Save initial data:"
evo.calc_rho_pres(lat, V, sim, print_Q, print_w)
"Go to Fourier space:"
evo.x_to_k_space(lat, sim, perturb=True)
evo.update(lat, sim)
while sim.a < model.a_limit:
"Evolve all the k-modes coefficients:"
evo.lin_evo_step(lat, V, sim)
"Evolve perturbations:"
evo.transform(lat, sim)
evo.calc_rho_pres_back(lat, V, sim, print_Q)
i0_sum += sim.steps
"Go back to position space:"
evo.k_to_x_space(lat, sim, unperturb=True)
sim.adjust_fields(lat)
print '\nNon-linear simulation:\n'
"Solve non-linear equations:"
solve_non_linear(lat, V, sim, evo, postp, model, data_folder,
order, endQ, adaptive, print_Q, print_w,
flush)
i0_sum += sim.i0
if model.zetaQ:
#These might have to be edited for different models:"
"""Calculate ln(a) and omega_curv at H_ref.
Note that this uses linear interpolation.
Could use also other method."""
ln_a = np.interp(-np.log(model.H_ref),-np.log(sim.flush_H),
np.log(sim.flush_a))
ln_a_list.append(ln_a)
r = np.interp(-np.log(model.H_ref),-np.log(sim.flush_H),
sim.fields[0].omega_list)
r_list.append(r)
"""
"This uses second order polynomial fit to data:"
p_ln_a = np.poly1d(np.polyfit(-np.log(sim.flush_H),
np.log(sim.flush_a),
2))
ln_a2 = p_ln_a(-np.log(model.H_ref))
p_r = np.poly1d(np.polyfit(-np.log(sim.flush_H),
sim.fields[0].omega_list,
2))
r2 = p_r(-np.log(model.H_ref))
print 'lna ', (ln_a-ln_a2)/ln_a, 'r ', (r-r2)/r
"""
"Re-initialize system:"
if model.sim_num > 1 and i < model.sim_num:
sim.reinit(model, lat, V, model.a_in, sim.fields0, sim.pis0)
evo.update(lat, sim)
sim.flush_freq = model.flush_freq
sim.adjust_fields(lat)
"Adjust p:"
evo.calc_rho_pres(lat, V, sim, print_Q=False, print_w=False,
flush=False)
sim.adjust_p(lat)
if model.zetaQ:
ln_a_array = [sim.fields[0].f0_in,model.H_ref,ln_a_list]
r_list_array = [sim.fields[0].f0_in,model.H_ref,r_list]
sim.ln_a_list.append(ln_a_array)
sim.r_list.append(r_list_array)
sim.flush_zeta(lat, sim.fields[0].f0_in, model.H_ref,
ln_a_list, r_list, data_path)
"Synchronize:"
end.record()
end.synchronize()
sim.time_sim = end.time_since(start)*1e-3
sim.per_stp = sim.time_sim/i0_sum
if model.csvQ and model.saveQ:
for path in path_list:
write_csv(lat, path)
def solve_non_linear(lat, V, sim, evo, postp, model, path, order = 4,
endQ = 'time', adaptive = False, print_Q = True,
print_w = False, flush = True):
"""This will solve the non-linear evolution of the system with
an integrator of a given order:"""
if endQ == 'time' and adaptive == False:
if order == 2:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_2(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 4:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_4(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 6:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_6(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 8:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_8(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif endQ == 'time' and adaptive:
if order == 2:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_2(lat, V, sim, lat.dtau/sim.a)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 4:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_4(lat, V, sim, lat.dtau/sim.a)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 6:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_6(lat, V, sim, lat.dtau/sim.a)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 8:
"Solve the non-linear evolution:"
while (sim.t<model.t_fin):
if (sim.i0%(sim.flush_freq)==0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_8(lat, V, sim, lat.dtau/sim.a)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif endQ == 'H' or model.zetaQ:
if order == 2:
"Solve the non-linear evolution:"
while (sim.H > 1.01*model.H_ref):
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_2(lat, V, sim, lat.dtau)
while (sim.H > 0.99*model.H_ref):
if (sim.i0%2 == 0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_2(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 4:
"Solve the non-linear evolution:"
while (sim.H > 1.01*model.H_ref):
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_4(lat, V, sim, lat.dtau)
while (sim.H > 0.99*model.H_ref):
if (sim.i0%2 == 0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_4(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 6:
"Solve the non-linear evolution:"
while (sim.H > 1.01*model.H_ref):
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_6(lat, V, sim, lat.dtau)
while (sim.H > 0.99*model.H_ref):
if (sim.i0%2 == 0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_6(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
elif order == 8:
"Solve the non-linear evolution:"
while (sim.H > 1.01*model.H_ref):
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_8(lat, V, sim, lat.dtau)
while (sim.H > 0.99*model.H_ref):
if (sim.i0%2 == 0):
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path)
"Calculate spectrums and statistics:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)
sim.i0 += 1
"Change this for a higher-order integrator if needed:"
evo.evo_step_8(lat, V, sim, lat.dtau)
evo.calc_rho_pres(lat, V, sim, print_Q, print_w, flush)
if model.saveQ:
data_file = sim.flush(lat, path, save_evo = False)
"Calculate spectrums and statistics of final values:"
if lat.postQ:
postp.process_fields(lat, V, sim, data_file)
"Calculate spectrums and statistics of final values:"
if lat.gws:
postp.process_tensors(lat, sim, data_file)