/usr/lib/python2.7/dist-packages/ufl/algorithms/domain_analysis.py is in python-ufl 1.4.0-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 | """Algorithms for building canonical data structure for integrals over subdomains."""
# Copyright (C) 2009-2014 Anders Logg and Martin Sandve Alnes
#
# This file is part of UFL.
#
# UFL is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# UFL is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with UFL. If not, see <http://www.gnu.org/licenses/>.
from collections import defaultdict
import ufl
from ufl.common import sorted_items
from ufl.log import error
from ufl.assertions import ufl_assert
from ufl.geometry import Domain
from ufl.measure import Measure
from ufl.integral import Integral
from ufl.form import Form
from ufl.sorting import cmp_expr
from ufl.sorting import sorted_expr
class IntegralData(object):
"""Utility class with the members
(domain, integral_type, subdomain_id, integrals, metadata)
where metadata is an empty dictionary that may be used for
associating metadata with each object.
"""
__slots__ = ('domain', 'integral_type', 'subdomain_id', 'integrals', 'metadata',
'enabled_coefficients')
def __init__(self, domain, integral_type, subdomain_id, integrals, metadata):
ufl_assert(all(domain.label() == itg.domain().label() for itg in integrals),
"Domain label mismatch in integral data.")
ufl_assert(all(integral_type == itg.integral_type() for itg in integrals),
"Domain type mismatch in integral data.")
ufl_assert(all(subdomain_id == itg.subdomain_id() for itg in integrals),
"Domain id mismatch in integral data.")
self.domain = domain
self.integral_type = integral_type
self.subdomain_id = subdomain_id
self.integrals = integrals
# This is populated in preprocess using data not available at this stage:
self.enabled_coefficients = None
# TODO: I think we can get rid of this with some refactoring in ffc:
self.metadata = metadata
def __lt__(self, other):
# To preserve behaviour of extract_integral_data:
return ((self.integral_type, self.subdomain_id, self.integrals, self.metadata)
< (other.integral_type, other.subdomain_id, other.integrals, other.metadata))
def __eq__(self, other):
# Currently only used for tests:
return (self.integral_type == other.integral_type and
self.subdomain_id == other.subdomain_id and
self.integrals == other.integrals and
self.metadata == other.metadata)
def __str__(self):
return "IntegralData object over domain (%s, %s), with integrals:\n%s\nand metadata:\n%s" % (
self.integral_type, self.subdomain_id,
'\n\n'.join(map(str,self.integrals)), self.metadata)
# Tuple comparison helper
class ExprTupleKey(object):
__slots__ = ('x',)
def __init__(self, x):
self.x = x
def __lt__(self, other):
c = cmp_expr(self.x[0], other.x[0])
if c < 0:
return True
elif c > 0:
return False
else:
# NB! Comparing form compiler data here! Assuming this is an ok operation.
return self.x[1] < other.x[1]
def expr_tuple_key(expr):
return ExprTupleKey(expr)
def group_integrals_by_domain_and_type(integrals, domains, common_domain):
"""
Input:
integrals: list of Integral objects
domains: list of Domain objects from the parent Form
common_domain: default Domain object for integrals with no domain
Output:
integrals_by_domain_and_type: dict: (domain, integral_type) -> list(Integral)
"""
integral_data = []
domains_by_label = dict((domain.label(), domain) for domain in domains)
integrals_by_domain_and_type = defaultdict(list)
for itg in integrals:
# Canonicalize domain
domain = itg.domain()
if domain is None:
domain = common_domain
domain = domains_by_label.get(domain.label())
integral_type = itg.integral_type()
# Append integral to list of integrals with shared key
integrals_by_domain_and_type[(domain, integral_type)].append(itg)
return integrals_by_domain_and_type
def integral_subdomain_ids(integral):
"Get a tuple of integer subdomains or a valid string subdomain from integral."
did = integral.subdomain_id()
if isinstance(did, int):
return (did,)
elif isinstance(did, tuple):
ufl_assert(all(isinstance(d, int) for d in did),
"Expecting only integer subdomains in tuple.")
return did
elif did in ("everywhere", "otherwise"):
# TODO: Define list of valid strings somewhere more central
return did
else:
error("Invalid domain id %s." % did)
def rearrange_integrals_by_single_subdomains(integrals):
"""Rearrange integrals over multiple subdomains to single subdomain integrals.
Input:
integrals: list(Integral)
Output:
integrals: dict: subdomain_id -> list(Integral) (reconstructed with single subdomain_id)
"""
# Split integrals into lists of everywhere and subdomain integrals
everywhere_integrals = []
subdomain_integrals = []
for itg in integrals:
dids = integral_subdomain_ids(itg)
if dids == "otherwise":
error("'otherwise' integrals should never occur before preprocessing.")
elif dids == "everywhere":
everywhere_integrals.append(itg)
else:
subdomain_integrals.append((dids, itg))
# Fill single_subdomain_integrals with lists of integrals from
# subdomain_integrals, but split and restricted to single subdomain ids
single_subdomain_integrals = defaultdict(list)
for dids, itg in subdomain_integrals:
# Region or single subdomain id
for did in dids:
# Restrict integral to this subdomain!
single_subdomain_integrals[did].append(itg.reconstruct(subdomain_id=did))
# Add everywhere integrals to each single subdomain id integral list
otherwise_integrals = []
for ev_itg in everywhere_integrals:
# Restrict everywhere integral to 'otherwise'
otherwise_integrals.append(
ev_itg.reconstruct(subdomain_id="otherwise"))
# Restrict everywhere integral to each subdomain
# and append to each integral list
for subdomain_id in sorted(single_subdomain_integrals.keys()):
single_subdomain_integrals[subdomain_id].append(
ev_itg.reconstruct(subdomain_id=subdomain_id))
if otherwise_integrals:
single_subdomain_integrals["otherwise"] = otherwise_integrals
return single_subdomain_integrals
def accumulate_integrands_with_same_metadata(integrals):
"""
Taking input on the form:
integrals = [integral0, integral1, ...]
Return result on the form:
integrands_by_id = [(integrand0, metadata0),
(integrand1, metadata1), ...]
where integrand0 < integrand1 by the canonical ufl expression ordering criteria.
"""
# Group integrals by compiler data object id
by_cdid = {}
for itg in integrals:
cd = itg.metadata()
cdid = id(cd) # TODO: Use hash instead of id? Safe to assume this to be a dict of basic python values?
if cdid in by_cdid:
by_cdid[cdid][0].append(itg)
else:
by_cdid[cdid] = ([itg], cd)
# Accumulate integrands separately for each compiler data object id
for cdid in by_cdid:
integrals, cd = by_cdid[cdid]
# Ensure canonical sorting of more than two integrands
integrands = sorted_expr((itg.integrand() for itg in integrals))
integrands_sum = sum(integrands[1:], integrands[0])
by_cdid[cdid] = (integrands_sum, cd)
# Sort integrands canonically by integrand first then compiler data
return sorted(by_cdid.values(), key=expr_tuple_key)
def build_integral_data(integrals, domains, common_domain):
integral_data = []
# Group integrals by domain and type
integrals_by_domain_and_type = \
group_integrals_by_domain_and_type(integrals, domains, common_domain)
for domain in domains:
for integral_type in ufl.measure.integral_types():
# Get integrals with this domain and type
ddt_integrals = integrals_by_domain_and_type.get((domain, integral_type))
if ddt_integrals is None:
continue
# Group integrals by subdomain id, after splitting e.g.
# f*dx((1,2)) + g*dx((2,3)) -> f*dx(1) + (f+g)*dx(2) + g*dx(3)
# (note: before this call, 'everywhere' is a valid subdomain_id,
# and after this call, 'otherwise' is a valid subdomain_id)
single_subdomain_integrals = \
rearrange_integrals_by_single_subdomains(ddt_integrals)
for subdomain_id, ss_integrals in sorted_items(single_subdomain_integrals):
# Accumulate integrands of integrals that share the same compiler data
integrands_and_cds = \
accumulate_integrands_with_same_metadata(ss_integrals)
# Reconstruct integrals with new integrands and the right domain object
integrals = [Integral(integrand, integral_type, domain, subdomain_id, metadata, None)
for integrand, metadata in integrands_and_cds]
# Create new metadata dict for each integral data,
# this is filled in by ffc to associate compiler
# specific information with this integral data
metadata = {}
# Finally wrap it all in IntegralData object!
ida = IntegralData(domain, integral_type, subdomain_id, integrals, {})
# Store integral data objects in list with canonical ordering
integral_data.append(ida)
return integral_data
def reconstruct_form_from_integral_data(integral_data):
integrals = []
for ida in integral_data:
integrals.extend(ida.integrals)
return Form(integrals)
|