def visualise(sim):
X = np.arange(sim.A.size).reshape(sim.A.shape) % sim.A.shape[0]
Y = (np.arange(sim.A.size).reshape(sim.A.shape) % sim.A.shape[1]).T
U = cos(sim.A)
V = sin(sim.A)
fig, ax = plt.subplots(1, 1, figsize=(15, 15))
rects = []
# create rectangles for vortex/antivortex determination
for i in range(sim.V.shape[0]):
for j in range(sim.V.shape[1]):
rect = patches.Rectangle(xy=(i, j), height=1, width=1)
rects.append(rect)
rects = PatchCollection(rects)
# Set colors for the rectangles
col = 'RdBu'
r_cmap = plt.get_cmap(col)
r_cmap_r = plt.get_cmap(col + "_r") #eto kostil' =)
rects.set_cmap(r_cmap)
rects.set_clim(vmin=-1, vmax=1)
rects.set_animated(True)
rects.set_array(sim.V.flatten('F') / 2)
ax.add_collection(rects)
# create legend
legend_boxes = [patches.Patch(facecolor=r_cmap(0.7), label='Antiortex'),
patches.Patch(facecolor=r_cmap_r(0.7), label='Vortex')]
ax.legend(handles=legend_boxes)
# build an initial quiver plot
q = ax.quiver(X, Y, U, V, pivot='tail', cmap=plt.cm.get_cmap('hsv'), units='inches', scale=4)
fig.colorbar(q, label='Angles (2 pi)')
ax.set_xlim(-1, sim.A.shape[0])
ax.set_ylim(-1, sim.A.shape[1])
q.set_UVC(U, V, C=sim.A)
return q, fig, rects
def GetXYAnimation(lattice_shape,
beta,
steps,
iters_per_step,
filename,
J=1,
random_state=None):
import matplotlib.pylab as plt
import matplotlib.animation as animation
import matplotlib.patches as patches
from matplotlib.collections import PatchCollection
xy = XYModelMetropolisSimulation(lattice_shape=lattice_shape,
beta=beta,
J=J,
random_state=random_state)
X = np.arange(xy.L.size).reshape(xy.L.shape) % xy.L.shape[0]
Y = (np.arange(xy.L.size).reshape(xy.L.shape) % xy.L.shape[1]).T
U = np.cos(2 * np.pi * xy.L)
V = np.sin(2 * np.pi * xy.L)
fig, ax = plt.subplots(1, 1)
rects = []
colors = []
for i in range(xy.L.shape[0]):
for j in range(xy.L.shape[1]):
rect = patches.Rectangle(xy=(i - 0.5, j - 0.5),
height=1,
width=1,
facecolor="red")
rects.append(rect)
colors.append(np.abs(xy.H_matrix[i, j]))
rects = PatchCollection(rects)
rects.set_clim([0, 4])
rects.set_animated(True)
rects.set_array(np.array(colors))
ax.add_collection(rects)
Q = ax.quiver(X, Y, U, V, pivot='tail', color='b', units='inches')
ax.set_xlim(-1, xy.L.shape[0])
ax.set_ylim(-1, xy.L.shape[1])
def update_quiver(num, rects, Q, steps, xy):
for _ in range(steps):
xy.make_step()
colors = np.abs(xy.H_matrix.flatten('F'))
rects.set_array(np.array(colors))
U = np.cos(2 * np.pi * xy.L)
V = np.sin(2 * np.pi * xy.L)
Q.set_UVC(U, V)
return rects, Q,
ani = animation.FuncAnimation(fig,
update_quiver,
frames=steps,
fargs=(rects, Q, iters_per_step, xy),
interval=25,
blit=False)
ani.save(filename)