Source code for save_basis

#!/usr/bin/env python
"""
Save polynomial basis on reference elements or on a mesh for visualization into
a given output directory.
"""
from __future__ import absolute_import
import sys
from six.moves import range
sys.path.append('.')
import os
from argparse import ArgumentParser
import numpy as nm

from sfepy.base.base import output, Struct
from sfepy.base.ioutils import get_print_info, ensure_path
from sfepy.discrete import FieldVariable, Variables
from sfepy.discrete.fem import Mesh, FEDomain, Field
from sfepy.discrete.fem.geometry_element import GeometryElement
from sfepy.discrete.fem.poly_spaces import PolySpace
from sfepy.discrete.fem.linearizer import create_output
from sfepy.discrete.fem.fields_base import create_expression_output

helps = {
    'basis' :
    'name of the FE basis [default: %(default)s]',
    'derivative' :
    'save d-th derivative of FE basis, can be 0 or 1 [default: %(default)s]',
    'max_order' :
    'maximum order of polynomials [default: %(default)s]',
    'geometry' :
    'reference element geometry, one of "2_3", "2_4", "3_4", "3_8"'
    ' [default: %(default)s]',
    'mesh' :
    ('name of the mesh file - alternative to --geometry '
     '[default: %(default)s]'),
    'permutations' :
    'list of geometry element permutations for each element, e.g. 0,1 is a'
    ' single permutation for two elements, 0,1,0,2,1,0 are three permutations'
    ' for two elements. Special value "all" can be used to save all possible'
    ' permutations for given reference element. Works only with --mesh option'
    ' [default: %(default)s]',
    'dofs' :
    'if given, save only the DOFs specified as a comma-separated list'
    ' [default: %(default)s]',
    'lin_options' :
    'linearizer options [default: %(default)s]',
    'plot_dofs' :
    'plot local and global DOF numberings, with --mesh option',
}

[docs]def get_dofs(dofs, n_total): if dofs is None: dofs = list(range(n_total)) else: dofs = [int(ii) for ii in dofs.split(',')] return dofs
[docs]def save_basis_on_mesh(mesh, options, output_dir, lin, permutations=None, suffix=''): if permutations is not None: mesh = mesh.copy() gel = GeometryElement(mesh.descs[0]) perms = gel.get_conn_permutations()[permutations] conn = mesh.cmesh.get_cell_conn() n_el, n_ep = conn.num, gel.n_vertex offsets = nm.arange(n_el) * n_ep conn.indices[:] = conn.indices.take((perms + offsets[:, None]).ravel()) domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') field = Field.from_args('f', nm.float64, shape=1, region=omega, approx_order=options.max_order, poly_space_base=options.basis) var = FieldVariable('u', 'unknown', field) if options.plot_dofs: import sfepy.postprocess.plot_dofs as pd import sfepy.postprocess.plot_cmesh as pc ax = pc.plot_wireframe(None, mesh.cmesh) ax = pd.plot_global_dofs(ax, field.get_coor(), field.econn) ax = pd.plot_local_dofs(ax, field.get_coor(), field.econn) if options.dofs is not None: ax = pd.plot_nodes(ax, field.get_coor(), field.econn, field.poly_space.nodes, get_dofs(options.dofs, var.n_dof)) pd.plt.show() output('dofs: %d' % var.n_dof) vec = nm.empty(var.n_dof, dtype=var.dtype) n_digit, _format = get_print_info(var.n_dof, fill='0') name_template = os.path.join(output_dir, 'dof_%s%s.vtk' % (_format, suffix)) for ip in get_dofs(options.dofs, var.n_dof): output('dof %d...' % ip) vec.fill(0.0) vec[ip] = 1.0 var.set_data(vec) if options.derivative == 0: out = var.create_output(vec, linearization=lin) else: out = create_expression_output('ev_grad.ie.Elements(u)', 'u', 'f', {'f' : field}, None, Variables([var]), mode='qp', verbose=False, min_level=lin.min_level, max_level=lin.max_level, eps=lin.eps) name = name_template % ip ensure_path(name) out['u'].mesh.write(name, out=out) output('...done (%s)' % name)
[docs]def main(): parser = ArgumentParser(description=__doc__) parser.add_argument('--version', action='version', version='%(prog)s') parser.add_argument('-b', '--basis', metavar='name', action='store', dest='basis', default='lagrange', help=helps['basis']) parser.add_argument('-d', '--derivative', metavar='d', type=int, action='store', dest='derivative', default=0, help=helps['derivative']) parser.add_argument('-n', '--max-order', metavar='order', type=int, action='store', dest='max_order', default=2, help=helps['max_order']) parser.add_argument('-g', '--geometry', metavar='name', action='store', dest='geometry', default='2_4', help=helps['geometry']) parser.add_argument('-m', '--mesh', metavar='mesh', action='store', dest='mesh', default=None, help=helps['mesh']) parser.add_argument('--permutations', metavar='permutations', action='store', dest='permutations', default=None, help=helps['permutations']) parser.add_argument('--dofs', metavar='dofs', action='store', dest='dofs', default=None, help=helps['dofs']) parser.add_argument('-l', '--lin-options', metavar='options', action='store', dest='lin_options', default='min_level=2,max_level=5,eps=1e-3', help=helps['lin_options']) parser.add_argument('--plot-dofs', action='store_true', dest='plot_dofs', default=False, help=helps['plot_dofs']) parser.add_argument('output_dir') options = parser.parse_args() output_dir = options.output_dir output('polynomial space:', options.basis) output('max. order:', options.max_order) lin = Struct(kind='adaptive', min_level=2, max_level=5, eps=1e-3) for opt in options.lin_options.split(','): key, val = opt.split('=') setattr(lin, key, eval(val)) if options.mesh is None: dim, n_ep = int(options.geometry[0]), int(options.geometry[2]) output('reference element geometry:') output(' dimension: %d, vertices: %d' % (dim, n_ep)) gel = GeometryElement(options.geometry) gps = PolySpace.any_from_args(None, gel, 1, base=options.basis) ps = PolySpace.any_from_args(None, gel, options.max_order, base=options.basis) n_digit, _format = get_print_info(ps.n_nod, fill='0') name_template = os.path.join(output_dir, 'bf_%s.vtk' % _format) for ip in get_dofs(options.dofs, ps.n_nod): output('shape function %d...' % ip) def eval_dofs(iels, rx): if options.derivative == 0: bf = ps.eval_base(rx).squeeze() rvals = bf[None, :, ip:ip+1] else: bfg = ps.eval_base(rx, diff=True) rvals = bfg[None, ..., ip] return rvals def eval_coors(iels, rx): bf = gps.eval_base(rx).squeeze() coors = nm.dot(bf, gel.coors)[None, ...] return coors (level, coors, conn, vdofs, mat_ids) = create_output(eval_dofs, eval_coors, 1, ps, min_level=lin.min_level, max_level=lin.max_level, eps=lin.eps) out = { 'bf' : Struct(name='output_data', mode='vertex', data=vdofs, var_name='bf', dofs=None) } mesh = Mesh.from_data('bf_mesh', coors, None, [conn], [mat_ids], [options.geometry]) name = name_template % ip ensure_path(name) mesh.write(name, out=out) output('...done (%s)' % name) else: mesh = Mesh.from_file(options.mesh) output('mesh geometry:') output(' dimension: %d, vertices: %d, elements: %d' % (mesh.dim, mesh.n_nod, mesh.n_el)) if options.permutations: if options.permutations == 'all': from sfepy.linalg import cycle gel = GeometryElement(mesh.descs[0]) n_perms = gel.get_conn_permutations().shape[0] all_permutations = [ii for ii in cycle(mesh.n_el * [n_perms])] else: all_permutations = [int(ii) for ii in options.permutations.split(',')] all_permutations = nm.array(all_permutations) np = len(all_permutations) all_permutations.shape = (np // mesh.n_el, mesh.n_el) output('using connectivity permutations:\n', all_permutations) else: all_permutations = [None] for ip, permutations in enumerate(all_permutations): if permutations is None: suffix = '' else: suffix = '_' + '_'.join('%d' % ii for ii in permutations) save_basis_on_mesh(mesh, options, output_dir, lin, permutations, suffix)
if __name__ == '__main__': main()