"""
Functions to visualize the partitioning of a domain and a field DOFs.
"""
import os
import numpy as nm
from sfepy.base.base import ordered_iteritems
import sfepy.postprocess.plot_cmesh as pc
import sfepy.postprocess.plot_dofs as pd
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def mark_subdomains(ax, cmesh, cell_tasks,
size=None, icolor=0, alpha=1.0, mask=False):
"""
Mark cells of subdomains corresponding to each task by a different color.
Plots nothing in 3D.
"""
if size is None:
size = cell_tasks.max() + 1
coors = cmesh.coors
dim = cmesh.dim
ax = pd._get_axes(ax, dim)
if dim == 3:
return ax
conn = cmesh.get_conn(dim, 0)
color = nm.zeros(4)
color[-1] = alpha
for ic, vertices in enumerate(conn.indices.reshape((conn.num, -1))):
cv = coors[vertices]
if dim == 2:
if mask:
cc = cv.mean(0)
cv = cc + 0.3 * (cv - cc)
if not mask or cell_tasks[ic] > 0:
color[icolor] = (float(cell_tasks[ic]) + 1) / size
ax.fill(*cv.T, color=color)
return ax
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def label_dofs(ax, coors, dofs, colors):
"""
Label DOFs using the given colors.
"""
from sfepy.postprocess.plot_dofs import _get_axes
dim = coors.shape[1]
ax = _get_axes(ax, dim)
for gdof in dofs:
cd = coors[gdof]
ax.text(*cd.T, s='%d' % gdof,
color=colors[gdof], fontsize=12, weight='bold')
return ax
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def plot_partitioning(axs, field, cell_tasks, gfd, output_dir, size):
"""
Plot the partitioning of the domain and field DOFs.
"""
mesh = field.domain.mesh
ax = pc.plot_wireframe(axs[0], mesh.cmesh)
coors = field.get_coor()
econn = field.econn
ax = pd.plot_global_dofs(ax, coors, econn)
ax.set_title('global DOFs')
ax.figure.savefig(os.path.join(output_dir, 'global_dofs.png'),
bbox_inches='tight')
ax = pc.plot_wireframe(axs[1], mesh.cmesh)
fig = ax.figure
coors = field.get_coor()
econn = field.econn
id_map = gfd.id_map
colors = nm.zeros((field.n_nod, 4))
for ir, dof_map in ordered_iteritems(gfd.dof_maps):
aux = id_map[dof_map[0]]
colors[aux] = [0, 0, float(ir + 1) / size, 0.6]
for aux in dof_map[1]:
colors[id_map[aux]] = [0, 0, float(ir + 1) / size, 0.9]
from sfepy.discrete.fem.utils import prepare_translate
aux = prepare_translate(id_map[econn], econn)
ax = label_dofs(ax, coors[aux], id_map, colors)
mark_subdomains(ax, mesh.cmesh, cell_tasks, size, 0, 0.7)
ax.set_title('subdomains of tasks and PETSc DOFs')
fig.savefig(os.path.join(output_dir, 'petsc_dofs.png'),
bbox_inches='tight')
ax.set_title('')
axis = ax.axis()
for ir, ocells in enumerate(gfd.overlap_cells):
aux = nm.zeros_like(cell_tasks)
aux[ocells] = 10
aux[gfd.cell_parts[ir]] = 1
ax = fig.add_axes(ax.get_position(), frameon=False, label='aux')
mark_subdomains(ax, mesh.cmesh, aux, 11, 1, 0.3, True)
ax.axis(axis)
ax.set_title('overlap cells on task %d' % ir)
fig.savefig(os.path.join(output_dir,
'petsc_overlaps_%02d.png' % ir),
bbox_inches='tight')
fig.delaxes(ax)
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def plot_local_dofs(axs, field, field_i, omega_gi, output_dir, rank):
"""
Plot the local ang global field DOFs local to the subdomain on the task
with the given `rank`.
"""
mesh = field.domain.mesh
ax = pc.plot_wireframe(axs[0], mesh.cmesh)
coors = field_i.get_coor()
econn = field_i.econn
ax = pd.plot_global_dofs(ax, coors, econn)
ax.set_title('local DOFs on task %d' % rank)
ax.figure.savefig(os.path.join(output_dir, 'local_dofs_%02d.png' % rank),
bbox_inches='tight')
ax = pc.plot_wireframe(axs[1], mesh.cmesh)
coors = field.get_coor()
econn = field.get_econn(('cell', omega_gi.tdim), omega_gi, 0)
ax = pd.plot_global_dofs(ax, coors, econn)
ax.set_title('global DOFs on task %d' % rank)
ax.figure.savefig(os.path.join(output_dir, 'local_global_%02d.png' % rank),
bbox_inches='tight')