In [120]:
# GET DISTRIBUTION OF DIHEDRAL ANGLES IN THE LINKAGE OF TWO TRIANGLES

In [121]:
%matplotlib inline

In [122]:
import datetime
dts = str(datetime.datetime.now())
date_time_str = dts[:10] + "-" + dts[11:13] + "-" + dts[14:16]
print date_time_str


2015-02-05-18-27

In [123]:
import numpy as np

import matplotlib.pyplot as plt

import bga_4_0 as bga
import manifold_reflected_brownian_motion as mrbm

bga = reload(bga)
mrbm = reload(mrbm)

In [124]:
save_images =False

In [125]:
manifold_name = 'building_game'
poly_name = 'octahedron'
int_num = 2

unary_boundary_name = 'self_intersection'
binary_boundary_name = 'dihedrals'

stat_name = 'test_1'

In [126]:
manifold_kwargs = {'poly_name': poly_name, 'int_num': int_num}
unary_boundary_kwargs = {'poly_name': poly_name, 'int_num': int_num}
binary_boundary_kwargs = {'poly_name': poly_name, 'int_num': int_num}
stat_kwargs = {}

In [127]:
err_tol = 10**-12
h = 0.05
N = 10**2

hist_min = 0.0
hist_max = 2.0*np.pi
hist_bins = 1000

In [128]:
kwargs_nb = {'manifold_name': manifold_name,  
             'stat_name': stat_name,
             'manifold_kwargs': manifold_kwargs,
             'stat_kwargs': stat_kwargs,
             'record_hist': True, 
             'hist_min': hist_min, 
             'hist_max': hist_max, 
             'hist_bins': hist_bins,
             'err_tol': err_tol}

kwargs_b  = {'manifold_name': manifold_name,  
             'unary_boundary_name': unary_boundary_name,
             'binary_boundary_name': binary_boundary_name,
             'stat_name': stat_name,
             'manifold_kwargs': manifold_kwargs,
             'unary_boundary_kwargs': unary_boundary_kwargs,
             'binary_boundary_kwargs': binary_boundary_kwargs,
             'stat_kwargs': stat_kwargs,
             'record_hist': True, 
             'hist_min': hist_min, 
             'hist_max': hist_max, 
             'hist_bins': hist_bins,
             'err_tol': err_tol}

In [129]:
x0, links, lengths, faces = bga.load_bg_int(poly_name, int_num)

In [130]:
z_nb = mrbm.MRBM(x0, h, **kwargs_nb)
z_b = mrbm.MRBM(x0, h, **kwargs_b)

In [131]:
a = 0.5/np.pi
b = -a*0.1
c = -a*0.1
x_range = np.linspace(0.0, 2.0*np.pi)
ys = a + b*np.cos(x_range) + c*np.cos(2*x_range)

In [132]:
s_nb = z_nb.sample(N=N, record_trace=False, record_stats=False)
print 'done'


____________________
--------------------
done

In [133]:
xx1 = plt.hist(z_nb.hist.midpoints, weights=z_nb.hist.hist[0,:], normed=True, bins=40)
yy1 = plt.plot(x_range, ys, 'r') 
if save_images == True:
    plt.savefig('test_1_n_'+date_time_str+'.png')



In [134]:
s_b = z_b.sample(N=N, record_trace=False, record_stats=False)
print 'done'


____________________
--------------------
done

In [135]:
xx2 = plt.hist(z_b.hist.midpoints, weights=z_b.hist.hist[0,:], normed=True, bins=40)
yy2 = plt.plot(x_range, ys, 'r')
if save_images == True:
    plt.savefig('test_1_b_'+date_time_str+'.png')



In [135]: