def __init__(self):
import sys
self.sp = SetParameter()
self.N = None
self.dla = None
self.sp.show_setting_window(
[
{'N': 200}
],
[
{'start': self.grow_cluster},
{'plot graph': self.plot__N_R},
{'calcurate D': self.fit_to_powerlow},
{'save': self.save_to_file},
{'quit': sys.exit}
]
)
# ax.set_zlabel(r'$p_{\theta}$', fontsize=16)
# plt.title('Standard map')
# unit = 0.5
# q_tick = np.arange(0, 2.0+unit, unit)
# q_label = [r"$0$",r"$\frac{1}{2}\pi$",r"$\pi$",r"$\frac{3}{2}\pi$",r"$2\pi$"]
# ax.set_ylim(0, 2*pi)
# ax.set_yticks(q_tick*pi)
# ax.set_yticklabels(q_label, fontsize=18)
# ax.set_xlim(0, kmax)
# if max(ary_p[ntransient:]) > max_p:
# max_p = max(ary_p[ntransient:])
# if min(ary_p[ntransient:]) < min_p:
# min_p = min(ary_p[ntransient:])
# margin = (max_p-min_p)*0.05
# ax.set_zlim(min_p-margin, max_p+margin)
# --- Plot the standard map. ---
mlab.points3d([
0.1,
] * (nmax - ntransient + 1), ary_q[ntransient:], ary_p[ntransient:])
plt.show()
if __name__ == '__main__':
window = SetParameter()
default_params = [{'theta': 1.5}, {'p': 0.2}, {'kmax': 0.1}]
commands = [{'OK': static}]
window.show_setting_window(default_params, commands)
# ax.set_xlabel(r'$k$', fontsize=16)
# ax.set_ylabel(r'$\theta$', fontsize=16)
# ax.set_zlabel(r'$p_{\theta}$', fontsize=16)
# plt.title('Standard map')
# unit = 0.5
# q_tick = np.arange(0, 2.0+unit, unit)
# q_label = [r"$0$",r"$\frac{1}{2}\pi$",r"$\pi$",r"$\frac{3}{2}\pi$",r"$2\pi$"]
# ax.set_ylim(0, 2*pi)
# ax.set_yticks(q_tick*pi)
# ax.set_yticklabels(q_label, fontsize=18)
# ax.set_xlim(0, kmax)
# if max(ary_p[ntransient:]) > max_p:
# max_p = max(ary_p[ntransient:])
# if min(ary_p[ntransient:]) < min_p:
# min_p = min(ary_p[ntransient:])
# margin = (max_p-min_p)*0.05
# ax.set_zlim(min_p-margin, max_p+margin)
# --- Plot the standard map. ---
mlab.points3d([0.1, ] * (nmax - ntransient + 1),
ary_q[ntransient:], ary_p[ntransient:])
plt.show()
if __name__ == '__main__':
window = SetParameter()
default_params = [{'theta': 1.5}, {'p': 0.2}, {'kmax': 0.1}]
commands = [{'OK': static}]
window.show_setting_window(default_params, commands)
class Main(object):
def __init__(self):
import sys
self.sp = SetParameter()
self.N = None
self.dla = None
self.sp.show_setting_window(
[
{'N': 200}
],
[
{'start': self.grow_cluster},
{'plot graph': self.plot__N_R},
{'calcurate D': self.fit_to_powerlow},
{'save': self.save_to_file},
{'quit': sys.exit}
]
)
def grow_cluster(self):
"""Create a DLA cluster with N particles by dla.grow_cluster method."""
self.N = int(self.sp.entry[0].get())
self.dla = DLA(self.N)
self.lattice = self.dla.grow_cluster()
self.center = self.dla.center
def plot__N_R(self):
"""Plot a N-R_g graph to calcurate DLA cluster's fractal dimension."""
self.N = int(self.sp.entry[0].get())
self.dla = DLA(self.N)
self.lattice = self.dla.grow_cluster()
self.center = self.dla.center
self.Narr = np.array([2**x for x in range(1, int(np.log2(self.N))+1)])
self.R_g = np.array([self.dla.R_g[n-1] for n in self.Narr])
# plot
fig = plt.figure("Fractal Dimension")
self.ax = fig.add_subplot(111)
self.ax.loglog(self.R_g, self.Narr, '-o')
self.ax.set_xlabel(r'$R_{g}$', fontsize=16)
self.ax.set_ylabel(r'$N$', fontsize=16)
self.ax.set_ymargin(0.05)
fig.tight_layout()
plt.show()
def fit_to_powerlow(self):
"""Fitting method to calcurate the fractal dimension of DLA cluster."""
def fit_func(parameter0, R_g, Narr):
"""Fitting function: Narr ~ R_{g}^{D}"""
log = np.log
c1 = parameter0[0]
c2 = parameter0[1]
residual = log(Narr) - c1 - c2*log(R_g)
return residual
def fitted(R, c1, D):
return np.exp(c1)*(R**D)
fitting(self.R_g, self.Narr,
fit_func, [0.1, 1.7], fitted,
xlabel=r'$R_{g}$', ylabel=r'$N$',
param_to_show={'D': 1}
)
def save_to_file(self):
"""Save the figure of the DLA cluster with eps format."""
import tkFileDialog
import os
if self.dla is None:
print "No figure exists."
return
ftype = [('eps flle', '*.eps'), ('all files', '*')]
filename = tkFileDialog.asksaveasfilename(
filetypes=ftype,
initialdir=os.getcwd(),
initialfile="figure_1.eps"
)
if filename is None:
return
self.dla.canvas.postscript(file=filename)