def __init__(self, model, init_cond, tmax = 5e3, dt = 5e-4):
self.m = model
self.init_cond = init_cond
self.tmax = tmax
self.dt = dt
self.integrator_memory_limit = 512 # MB
self.msfi = MSF_Integrator(model)
class PyMSF():
def __init__(self, model, init_cond, tmax = 5e3, dt = 5e-4):
self.m = model
self.init_cond = init_cond
self.tmax = tmax
self.dt = dt
self.integrator_memory_limit = 512 # MB
self.msfi = MSF_Integrator(model)
def floq(self, gamma, traj):
self.msfi.compute_Floquet(gamma, self.dt, traj)
evals,_ = np.linalg.eig(self.msfi.X[-1])
return np.sort(np.abs(evals))[::-1]
def compute_real_MSF(self, gamma_vals, traj):
MSF = np.zeros((self.m.ndim, len(gamma_vals)))
for i, gamma in enumerate(gamma_vals):
MSF[:, i] = self.floq(gamma, traj)
return MSF
def compute_trajectory(self, dev_max, dev_var, dev_thr):
n_chunks, chunk_size_ms, last_chunk_ms = self._get_integration_chunks()
init_cond = self.init_cond
idx = None
for i in range(n_chunks):
if i == n_chunks - 1:
integrator = Integrator(self.m, last_chunk_ms, self.dt)
else:
integrator = Integrator(self.m, chunk_size_ms, self.dt)
integrator.set_initial_conditions(init_cond)
idx = integrator.find_limit_cycle(dev_max, dev_var, dev_thr, methods.EULER)
if idx[1] > idx[0] or i == n_chunks - 1:
return integrator.data[:, idx[0]:idx[1]].copy()
else:
init_cond = integrator.data[:, -1].copy()
def vary_par(self, par_name, n_points, par_min, par_max,
gamma_min, gamma_max,
dev_max = 8e-5, dev_var = 0, dev_thr = -58,
only_traj = False):
par_vals = np.linspace(par_min, par_max, n_points)
gamma_vals = np.linspace(gamma_min, gamma_max, n_points)
MSF = np.zeros((self.m.ndim, n_points, n_points))
for i, par in enumerate(par_vals):
setattr(self.m.par, par_name, par)
print('Trajectory for %s = %s' % (par_name, par))
traj = self.compute_trajectory(dev_max, dev_var, dev_thr)
if not only_traj:
print('\n Comutig MSF... \n')
MSF[:, :, i] = self.compute_real_MSF(gamma_vals, traj)
return MSF, gamma_vals, par_vals
def _get_integration_chunks(self):
# assuming double datatype
ms_size_bytes = self.m.ndim * 8 / self.dt
chunk_size_bytes = self.integrator_memory_limit * 1024 ** 2
chunk_size_ms = chunk_size_bytes / int(ms_size_bytes)
n_chunks, last_chunk_ms = divmod(self.tmax, chunk_size_ms)
return int(n_chunks), chunk_size_ms, last_chunk_ms
n = 100
init = np.array([0.0, # x
0.0, # y
0.0])# z
m = HR_neuron()
m.set_parameters(**reference_set)
m.par.I_ext = 2.5
m.par.eps = 0.7
m.par.row_sum = 1
i = Integrator(m, tmax, dt)
i.set_initial_conditions(init)
msfi = MSF_Integrator(m)
#def plot_traces(idx=0, skip = 10):
#t = np.linspace(0, tmax, np.floor(i.data.shape[1] / skip) + 1)
#plt.figure()
#plt.plot(t, i.data[idx, ::skip])
#plt.show()
def timeit(closure, n):
total_t = 0
for j in range(n):
t1 = time.time()
closure()
t2 = time.time()
total_t += t2 - t1
return total_t / n