def codeDG(self):
code = self._code()
u = self.trialFunction
ubar = Coefficient(u.ufl_function_space())
penalty = self.penalty
if penalty is None:
penalty = 1
if isinstance(penalty, Expr):
if penalty.ufl_shape == ():
penalty = as_vector([penalty])
try:
penalty = expand_indices(
expand_derivatives(expand_compounds(penalty)))
except:
pass
assert penalty.ufl_shape == u.ufl_shape
dmPenalty = as_vector([
replace(
expand_derivatives(diff(replace(penalty, {u: ubar}),
ubar))[i, i], {ubar: u})
for i in range(u.ufl_shape[0])
])
else:
dmPenalty = None
code.append(AccessModifier("public"))
x = SpatialCoordinate(self.space.cell())
predefined = {}
self.predefineCoefficients(predefined, x)
spatial = Variable('const auto', 'y')
predefined.update({
x:
UnformattedExpression(
'auto', 'entity().geometry().global( Dune::Fem::coordinate( x ) )')
})
generateMethod(code,
penalty,
'RRangeType',
'penalty',
args=['const Point &x', 'const DRangeType &u'],
targs=['class Point', 'class DRangeType'],
static=False,
const=True,
predefined=predefined)
generateMethod(code,
dmPenalty,
'RRangeType',
'linPenalty',
args=['const Point &x', 'const DRangeType &u'],
targs=['class Point', 'class DRangeType'],
static=False,
const=True,
predefined=predefined)
return code
def coefficient(self, idx, x):
coefficient = []
for t, n in (('RangeType', 'evaluate'),
('JacobianRangeType', 'jacobian'), ('HessianRangeType',
'hessian')):
result = Variable(
'typename std::tuple_element_t< ' + str(idx) +
', CoefficientFunctionSpaceTupleType >::' + t, 'result')
code = [
Declaration(result),
UnformattedExpression('void',
'std::get< ' + str(idx) +
' >( coefficients_ ).' + n + '( x, ' +
result.name + ' )',
uses=[result]),
return_(result)
]
coefficient += [
lambda_(capture=[this], args=['auto x'], code=code)(x)
]
return coefficient
def code(self, name=None, targs=None):
# self.name = "Integrands"
# self.targs = ['class GridPart']
# self.gridPartType = TypeAlias("GridPartType", "GridPart")
# self.ctor_args = []
# self.ctor_init = []
# self.skeleton (None is no intersecton terms are needed)
# self.init (code to be added to init(Entity) method
# self.vars (further class variables)
# self.methods(code)
if name is not None:
self.name = name
if targs is not None:
self.targs = targs
code = Struct(self.className,
targs=(self.targs + ['class ' + n for n in self.coefficientTypes]),
bases=self.bases)
code.append(self.gridPartType)
code.append(TypeAlias("GridView", "typename GridPartType::GridViewType"))
if self.bindable:
code.append(TypeAlias("FunctionSpaceType", "Dune::Fem::GridFunctionSpace<GridPartType,Dune::Dim<"+str(self.dimRange)+">>"))
code.append(TypeAlias("EntityType", "typename GridPartType::template Codim< 0 >::EntityType"))
code.append(TypeAlias("IntersectionType", "typename GridPartType::IntersectionType"))
code.append(TypeAlias("GlobalCoordinateType", "typename EntityType::Geometry::GlobalCoordinate"))
code.append(TypeAlias("Side","Dune::Fem::IntersectionSide"))
for type, alias in zip(self._constants, self.constantTypes):
code.append(TypeAlias(alias, type))
constants = ["std::shared_ptr< " + c + " >" for c in self.constantTypes]
if constants:
code.append(TypeAlias("ConstantTupleType", "std::tuple< " + ", ".join(constants) + " >"))
code.append(TypeAlias("ConstantsRangeType", "typename std::tuple_element_t< i, ConstantTupleType >::element_type", targs=["std::size_t i"]))
else:
code.append(TypeAlias("ConstantTupleType", "std::tuple<>"))
if self._coefficients:
coefficientSpaces = [('Dune::Fem::GridFunctionSpace< GridPartType, ' + c + ' >') for c in self._coefficients]
code.append(TypeAlias("CoefficientFunctionSpaceTupleType", "std::tuple< " +", ".join(coefficientSpaces) + " >"))
code.append(TypeAlias('CoefficientTupleType', 'std::tuple< ' + ', '.join(self.coefficientTypes) + ' >'))
code.append(TypeAlias("CoefficientFunctionSpaceType", "std::tuple_element_t< i, CoefficientFunctionSpaceTupleType >", targs=["std::size_t i"]))
for s in ["RangeType", "JacobianRangeType"]:
code.append(TypeAlias("Coefficient" + s, "typename CoefficientFunctionSpaceType< i >::" + s, targs=["std::size_t i"]))
code.append(Declaration(Variable("bool", "gridPartValid"),
initializer=UnformattedExpression("bool"," && ".join(["Dune::Fem::checkGridPartValid<GridPartType,"+
"Dune::Fem::ConstLocalFunction<"+c+">>()"
for c in self.coefficientTypes])),
static=True, constexpr=True))
else:
code.append(TypeAlias("CoefficientTupleType", "std::tuple<>"))
code.append(Declaration(Variable("bool", "gridPartValid"),
initializer="true",
static=True, constexpr=True))
code.append(TypeAlias('CoefficientType', 'std::tuple_element_t< i, CoefficientTupleType >', targs=['std::size_t i']))
code.append(TypeAlias('ConstantType', 'typename std::tuple_element_t< i, ConstantTupleType >::element_type', targs=['std::size_t i']))
# if self.skeleton is not None:
# code.append(EnumClass('Side', ['in = 0u', 'out = 1u'], 'std::size_t'))
# inside = '[ static_cast< std::size_t >( Side::in ) ]'
# else:
# inside = ''
if not self.bindable:
if self.skeleton is None:
entity_ = Variable('EntityType', 'entity_')
insideEntity = entity_
else:
entity_ = Variable('std::array< EntityType, 2 >', 'entity_')
insideEntity = entity_[UnformattedExpression('std::size_t', 'static_cast< std::size_t >( Side::in )')]
outsideEntity = entity_[UnformattedExpression('std::size_t', 'static_cast< std::size_t >( Side::out )')]
intersection_ = Variable('IntersectionType', 'intersection_')
else:
code.append(Using(self.bindableBase+'::entity'))
constants_ = Variable("ConstantTupleType", "constants_")
coefficientsTupleType = 'std::tuple< ' + ', '.join('Dune::Fem::ConstLocalFunction< ' + n + ' >' for n in self.coefficientTypes) + ' >'
if self.skeleton is None:
coefficients_ = Variable(coefficientsTupleType, 'coefficients_')
else:
coefficients_ = Variable('std::array< ' + coefficientsTupleType + ', 2 >', 'coefficients_')
# generate code for constructor
arg_param = Variable('const Dune::Fem::ParameterReader &', 'parameter')
if self.bindable:
args = [
Variable('const GridPartType &','gridPart'),
Variable('const std::string &','name'),
Variable('int','order')
]
else:
args = []
args += self.ctor_args + [Variable('const ' + t + ' &', n) for t, n in zip(self.coefficientTypes, self.coefficientNames)]
if self.bindable:
init = [self.bindableBase+'(gridPart,name,order)']
else:
init = []
if self._coefficients:
coeffInit = ['Dune::Fem::ConstLocalFunction< ' + n + ' >( ' + p + ' )' for n, p in zip(self.coefficientTypes, self.coefficientNames)]
if self.skeleton is None:
init += ["coefficients_( " + ", ".join(coeffInit) + " )"]
else:
init += ['coefficients_{{ ' + coefficientsTupleType + '( ' + ', '.join(coeffInit) + ' ), ' + coefficientsTupleType + '( ' + ', '.join(coeffInit) + ' ) }}']
init = self.ctor_init + init
args.append(Declaration(arg_param, initializer=UnformattedExpression('const ParameterReader &', 'Dune::Fem::Parameter::container()')))
constructor = Constructor(args=args, init=init)
for idx, (cppType, value) in enumerate(zip(self.constantTypes, self.constantValues)):
constructor.append(assign(get(idx)(constants_),
make_shared(cppType)(cppType+"(0)")))
for idx, (name, cppType) in enumerate(zip(self._parameterNames, self.constantTypes)):
if name is not None:
constructor.append(assign(dereference(get(idx)(constants_)), UnformattedExpression('auto', arg_param.name + '.getValue< ' + cppType + ' >( "' + name + '" )', uses=[arg_param])))
code.append(constructor)
entity = Variable('const EntityType &', 'entity')
intersection = Variable('const IntersectionType &', 'intersection')
if self.bindable:
initEntity = Method('void', 'bind', args=[entity])
initEntity.append(self.bindableBase+'::bind(entity);')
uninitEntity = Method('void', 'unbind')
uninitEntity.append(self.bindableBase+'::unbind();')
initIntersection = Method('void', 'bind', args=[intersection, Variable('Side', 'side')])
initIntersection.append(self.bindableBase+'::bind(intersection,side);')
code.append(initIntersection)
else:
initEntity = Method('bool', 'init', args=[entity])
initEntity.append(assign(insideEntity, entity))
uninitEntity = Method('void', 'unbind')
if self.skeleton is None:
for i, c in enumerate(self._coefficients):
initEntity.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + ' ).bind( entity )', uses=[entity, coefficients_]))
uninitEntity.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + ').unbind( )', uses=[coefficients_]))
else:
for i, c in enumerate(self._coefficients):
initEntity.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::in ) ] ).bind( entity )', uses=[entity, coefficients_]))
initEntity.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::out ) ] ).bind( entity )', uses=[entity, coefficients_]))
uninitEntity.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::in ) ] ).unbind( )', uses=[coefficients_]))
uninitEntity.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::out ) ] ).unbind( )', uses=[coefficients_]))
initEntity.append(self.init)
if not self.bindable:
initEntity.append(return_(True))
code.append(initEntity)
code.append(uninitEntity)
if not self.bindable:
initIntersection = Method('bool', 'init', args=[intersection])
initIntersection.append(assign(intersection_, intersection))
if self.skeleton is None:
initIntersection.append(return_('(intersection.boundary() && init( intersection.inside() ))'))
else:
initIntersection.append(assign(insideEntity, UnformattedExpression('EntityType', 'intersection.inside()')))
for i, c in enumerate(self._coefficients):
# initIntersection.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::in ) ] ).bind( entity_[ static_cast< std::size_t >( Side::in ) ] )', uses=[coefficients_]))
initIntersection.append(UnformattedExpression('void', 'std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::in ) ] ).bind( intersection_, Side::in )', uses=[coefficients_]))
initIntersection.append('if( intersection.neighbor() )')
initIntersection.append('{')
initIntersection.append(' entity_[ static_cast< std::size_t >( Side::out ) ] = intersection.outside();')
for i, c in enumerate(self._coefficients):
# initIntersection.append(UnformattedExpression('void', ' std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::out ) ] ).bind( entity_[ static_cast< std::size_t >( Side::out ) ] )', uses=[coefficients_]))
initIntersection.append(UnformattedExpression('void', ' std::get< ' + str(i) + ' >( ' + coefficients_.name + '[ static_cast< std::size_t >( Side::out ) ] ).bind( intersection_, Side::out )', uses=[coefficients_]))
initIntersection.append('}')
initIntersection.append(return_(True))
code.append(initIntersection)
################################
self.methods(code)
################################
code.append(Method('const ConstantType< i > &', 'constant', targs=['std::size_t i'], code=return_(dereference(get('i')(constants_))), const=True))
code.append(Method('ConstantType< i > &', 'constant', targs=['std::size_t i'], code=return_(dereference(get('i')(constants_)))))
for i, (t, n) in enumerate(zip(self.constantTypes, self.constantNames)):
code.append(Method('const ' + t + ' &', n, code=return_(dereference(get(i)(constants_))), const=True))
code.append(Method(t + ' &', n, code=return_(dereference(get(i)(constants_)))))
if not self.bindable:
code.append(Method('const EntityType &', 'entity', const=True, code=return_(insideEntity)))
code.append(AccessModifier('private'))
if self._coefficients:
for cppType, name in self._derivatives:
var = Variable('typename CoefficientFunctionSpaceType< i >::' + cppType, 'result')
if self.skeleton is None:
method = Method(var.cppType, name + 'Coefficient', targs=['std::size_t i', 'class Point'], args=['const Point &x'], const=True)
method.append(Declaration(var))
method.append(UnformattedExpression('void', 'std::get< i >( coefficients_ ).' + name + '( x, ' + var.name + ' );'))
method.append(return_(var))
code.append(method)
else:
method = Method(var.cppType, name + 'Coefficient', targs=['std::size_t i', 'Side side', 'class Point'], args=['const Point &x'], const=True)
method.append(Declaration(var))
method.append(UnformattedExpression('void', 'std::get< i >( coefficients_[ static_cast< std::size_t >( side ) ] ).' + name + '( x, ' + var.name + ' )'))
method.append(return_(var))
code.append(method)
method = Method(var.cppType, name + 'Coefficient', targs=['std::size_t i', 'class Point'], args=['const Point &x'], const=True)
method.append(return_(UnformattedExpression(var.cppType, name + 'Coefficient< i, Side::in >( x )')))
code.append(method)
if not self.bindable:
code.append(Declaration(entity_), Declaration(intersection_))
code.append(Declaration(constants_), Declaration(coefficients_))
if self.vars is not None:
code += self.vars
return code
def facetGeometry(self):
return UnformattedExpression('auto', 'intersection_.geometry()')
def facetArea(self):
return UnformattedExpression('auto', 'intersection_.geometry().volume()')
def cellGeometry(self, side=None):
entity = 'entity()' if side is None else 'entity_[ static_cast< std::size_t >( ' + side + ' ) ]'
return UnformattedExpression('auto', entity + '.geometry()')
def facetNormal(self, x):
return UnformattedExpression('GlobalCoordinateType', 'intersection_.unitOuterNormal( ' + x + '.localPosition() )')
def spatialCoordinate(self, x):
return UnformattedExpression('GlobalCoordinateType', 'entity().geometry().global( Dune::Fem::coordinate( ' + x + ' ) )')
def coefficient(self, idx, x, side=None):
targs = [str(idx)]
if side is not None:
targs.append(side)
return (UnformattedExpression('typename CoefficientFunctionSpaceType< ' + str(idx) + ' >::' + t, n + 'Coefficient< ' + ', '.join(targs) + ' >( ' + x + ' )') for t, n in self._derivatives)
def constant(self, idx):
return UnformattedExpression(self._constants[idx], 'constant< ' + str(idx) + ' >()')
def code(self, name=None, targs=None, ellipticBndConditions=True):
if targs is None:
targs = []
if name is None:
name = 'Model'
constants_ = Variable(
'std::tuple< ' + ', '.join('std::shared_ptr< ' + c + ' >'
for c in self._constants) + ' >',
'constants_')
# coefficients_ = Variable('std::tuple< ' + ', '.join(c['name'] if c['name'] is not None else 'Coefficient' + str(i) for i, c in enumerate(self._coefficients)) + ' >', 'coefficients_')
coefficients_ = Variable('std::tuple< ' + ', '.join(\
'Dune::Fem::ConstLocalFunction<' + self.cppTypeIdentifier(c['name'],"coefficient",i) + '> ' for i, c in enumerate(self._coefficients)) + ' >', 'coefficients_')
entity_ = Variable('const EntityType *', 'entity_')
# code = Struct(name, targs=(['class GridPart'] + ['class ' + c['name'] if c['name'] is not None else 'class Coefficient' + str(i) for i, c in enumerate(self._coefficients)] + targs))
code = Struct(
name,
targs=(['class GridPart'] + [
'class ' + self.cppTypeIdentifier(c['name'], "coefficient", i)
for i, c in enumerate(self._coefficients)
] + targs))
code.append(TypeAlias("GridPartType", "GridPart"))
code.append(
TypeAlias("EntityType",
"typename GridPart::template Codim< 0 >::EntityType"))
code.append(
TypeAlias("IntersectionType",
"typename GridPart::IntersectionType"))
code.append(
declareFunctionSpace("typename GridPartType::ctype",
SourceWriter.cpp_fields(self.field),
UnformattedExpression(
"int", "GridPartType::dimensionworld"),
self.dimDomain,
name="DFunctionSpaceType",
prefix="D",
dimDomainName="dimDomain",
dimRangeName="dimD"))
code.append(
declareFunctionSpace("typename GridPartType::ctype",
SourceWriter.cpp_fields(self.field),
UnformattedExpression(
"int", "GridPartType::dimensionworld"),
self.dimRange,
name="RFunctionSpaceType",
prefix="R",
dimDomainName=None,
dimRangeName="dimR"))
code.append(
Declaration(Variable("const int", "dimLocal"),
initializer=UnformattedExpression(
"int", "GridPartType::dimension"),
static=True))
if self.hasConstants:
code.append(
TypeAlias("ConstantType",
"typename std::tuple_element_t< i, " +
constants_.cppType + " >::element_type",
targs=["std::size_t i"]))
code.append(
Declaration(Variable("const std::size_t", "numConstants"),
initializer=len(self._constants),
static=True))
if self.hasCoefficients:
code.append(
TypeAlias('CoefficientType',
'std::tuple_element_t< i, ' + coefficients_.cppType +
' >',
targs=['std::size_t i']))
# coefficientSpaces = ["Dune::Fem::FunctionSpace< DomainFieldType, " + SourceWriter.cpp_fields(c['field']) + ", dimDomain, " + str(c['dimRange']) + " >" for c in self._coefficients]
coefficientSpaces = [
"typename CoefficientType<" + str(i) + ">::FunctionSpaceType"
for i, c in enumerate(self._coefficients)
]
code.append(
TypeAlias("CoefficientFunctionSpaceTupleType", "std::tuple< " +
", ".join(coefficientSpaces) + " >"))
arg_param = Variable("const Dune::Fem::ParameterReader &", "parameter")
args = [
Declaration(arg_param,
initializer=UnformattedExpression(
'const ParameterReader &',
'Dune::Fem::Parameter::container()'))
]
init = None
if self.hasCoefficients:
# args = [Variable("const " + c['name'] if c['name'] is not None else "const Coefficient" + str(i) + " &", "coefficient" + str(i)) for i, c in enumerate(self._coefficients)] + args
args = [
Variable(
"const " +
self.cppTypeIdentifier(c['name'], "coefficient", i) + " &",
"coefficient" + str(i))
for i, c in enumerate(self._coefficients)
] + args
init = ["coefficients_(" + ",".\
join("CoefficientType<"+str(i)+">"\
+"(coefficient" + str(i)+")" for i, c in enumerate(self._coefficients)) + " )"]
constructor = Constructor(args=args, init=init)
constructor.append([
assign(get(str(i))(constants_),
make_shared(c)()) for i, c in enumerate(self._constants)
])
for name, idx in self._parameterNames.items():
constructor.append(
assign(
dereference(get(idx)(constants_)),
UnformattedExpression("auto",
arg_param.name + '.getValue< ' +
self._constants[idx] + ' >( "' +
name + '" )',
uses=[arg_param])))
code.append(constructor)
init = ['entity_ = &entity;']
init += [
'std::get< ' + str(i) + ' >( ' + coefficients_.name +
').bind( entity );' for i, c in enumerate(self._coefficients)
]
init = [UnformattedBlock(init)] + self.init + [return_(True)]
code.append(
Method('bool',
'init',
args=['const EntityType &entity'],
code=init,
const=True))
uninit = ['entity_ = nullptr;']
uninit += [
'std::get< ' + str(i) + ' >( ' + coefficients_.name +
').unbind( );' for i, c in enumerate(self._coefficients)
]
uninit = [UnformattedBlock(uninit)]
code.append(Method('void', 'unbind', code=uninit, const=True))
code.append(
Method('const EntityType &',
'entity',
code=return_(dereference(entity_)),
const=True))
code.append(
Method('std::string',
'name',
const=True,
code=return_(
UnformattedExpression('const char *',
'"' + name + '"'))))
code.append(
TypeAlias(
"BoundaryIdProviderType",
"Dune::Fem::BoundaryIdProvider< typename GridPartType::GridType >"
))
code.append(
Declaration(Variable("const bool", "symmetric"),
initializer=self.symmetric,
static=True))
code.append(
Method('void',
'source',
targs=['class Point'],
args=[self.arg_x, self.arg_u, self.arg_du, self.arg_r],
code=self.source,
const=True))
code.append(
Method('void',
'linSource',
targs=['class Point'],
args=[
self.arg_ubar, self.arg_dubar, self.arg_x, self.arg_u,
self.arg_du, self.arg_r
],
code=self.linSource,
const=True))
code.append(
Method('void',
'flux',
targs=['class Point'],
args=[self.arg_x, self.arg_u, self.arg_du, self.arg_dr],
code=self.flux,
const=True))
code.append(
Method('void',
'linFlux',
targs=['class Point'],
args=[
self.arg_ubar, self.arg_dubar, self.arg_x, self.arg_u,
self.arg_du, self.arg_dr
],
code=self.linFlux,
const=True))
code.append(
Method('void',
'fluxDivergence',
targs=['class Point'],
args=[
self.arg_x, self.arg_u, self.arg_du, self.arg_d2u,
self.arg_r
],
code=self.fluxDivergence,
const=True))
# deprecated methods
code.append(
Method('[[deprecated]] void',
'diffusiveFlux',
targs=['class Point'],
args=[self.arg_x, self.arg_u, self.arg_du, self.arg_dr],
code='flux(x, u, du, result );',
const=True))
code.append(
Method('[[deprecated]] void',
'linDiffusiveFlux',
targs=['class Point'],
args=[
self.arg_ubar, self.arg_dubar, self.arg_x, self.arg_u,
self.arg_du, self.arg_dr
],
code='linFlux( ubar, dubar, x, u, du, result );',
const=True))
# if model is femDG model, then skip alpha and Neumann/Dirichlet boundary methods
if ellipticBndConditions:
code.append(
Method('void',
'alpha',
targs=['class Point'],
args=[self.arg_x, self.arg_u, self.arg_r],
code=self.alpha,
const=True))
code.append(
Method(
'void',
'linAlpha',
targs=['class Point'],
args=[self.arg_ubar, self.arg_x, self.arg_u, self.arg_r],
code=self.linAlpha,
const=True))
code.append(
Method('bool',
'hasNeumanBoundary',
const=True,
code=return_(self.hasNeumanBoundary)))
code.append(
TypeAlias("DirichletComponentType",
"std::array<int," + str(self.dimRange) + ">"))
code.append(
Method('bool',
'hasDirichletBoundary',
const=True,
code=return_(self.hasDirichletBoundary)))
code.append(
Method('bool',
'isDirichletIntersection',
args=[
self.arg_i,
'DirichletComponentType &dirichletComponent'
],
code=self.isDirichletIntersection,
const=True))
code.append(
Method('void',
'dirichlet',
targs=['class Point'],
args=[self.arg_bndId, self.arg_x, self.arg_r],
code=self.dirichlet,
const=True))
### end boundary conditions for elliptic operators ####
if self.hasConstants:
code.append(
Method("const ConstantType< i > &",
"constant",
targs=["std::size_t i"],
code=return_(dereference(get("i")(constants_))),
const=True))
code.append(
Method("ConstantType< i > &",
"constant",
targs=["std::size_t i"],
code=return_(dereference(get("i")(constants_)))))
if self.hasCoefficients:
code.append(
Method("const CoefficientType< i > &",
"coefficient",
targs=["std::size_t i"],
code=return_(get("i")(coefficients_)),
const=True))
code.append(
Method("CoefficientType< i > &",
"coefficient",
targs=["std::size_t i"],
code=return_(get("i")(coefficients_))))
for n, i in self._constantNames.items():
t = self._constants[i]
code.append(
Method('const ' + t + ' &',
n,
code=return_(dereference(get(i)(constants_))),
const=True))
code.append(
Method(t + ' &',
n,
code=return_(dereference(get(i)(constants_)))))
code.append(AccessModifier("private"))
code.append(Declaration(entity_, nullptr, mutable=True))
if self.hasConstants:
code.append(Declaration(constants_, mutable=True))
if self.hasCoefficients:
code.append(Declaration(coefficients_, mutable=True))
return code
def compileUFL(form, patch, *args, **kwargs):
if isinstance(form, Equation):
form = form.lhs - form.rhs
if not isinstance(form, Form):
raise Exception("ufl.Form expected.")
if len(form.arguments()) < 2:
raise Exception("ConservationLaw model requires form with at least two arguments.")
phi_, u_ = form.arguments()
if phi_.ufl_function_space().scalar:
phi = TestFunction(phi_.ufl_function_space().toVectorSpace())
form = replace(form,{phi_:phi[0]})
else:
phi = phi_
if u_.ufl_function_space().scalar:
u = TrialFunction(u_.ufl_function_space().toVectorSpace())
form = replace(form,{u_:u[0]})
else:
u = u_
_, coeff_ = extract_arguments_and_coefficients(form)
coeff_ = set(coeff_)
# added for dirichlet treatment same as conservationlaw model
dirichletBCs = [arg for arg in args if isinstance(arg, DirichletBC)]
# remove the dirichletBCs
arg = [arg for arg in args if not isinstance(arg, DirichletBC)]
for dBC in dirichletBCs:
_, coeff__ = extract_arguments_and_coefficients(dBC.ufl_value)
coeff_ |= set(coeff__)
if patch is not None:
for a in patch:
try:
_, coeff__ = extract_arguments_and_coefficients(a)
coeff_ |= set(coeff__)
except:
pass # a might be a float/int and not a ufl expression
coeff = {c : c.toVectorCoefficient()[0] for c in coeff_ if len(c.ufl_shape) == 0 and not c.is_cellwise_constant()}
form = replace(form,coeff)
for bc in dirichletBCs:
bc.ufl_value = replace(bc.ufl_value, coeff)
if patch is not None:
patch = [a if not isinstance(a, Expr) else replace(a,coeff) for a in patch]
phi = form.arguments()[0]
dimRange = phi.ufl_shape[0]
u = form.arguments()[1]
du = Grad(u)
d2u = Grad(du)
ubar = Coefficient(u.ufl_function_space())
dubar = Grad(ubar)
d2ubar = Grad(dubar)
dimDomain = u.ufl_shape[0]
x = SpatialCoordinate(form.ufl_cell())
try:
field = u.ufl_function_space().field
except AttributeError:
field = "double"
# if exact solution is passed in subtract a(u,.) from the form
if "exact" in kwargs:
b = replace(form, {u: as_vector(kwargs["exact"])} )
form = form - b
dform = apply_derivatives(derivative(action(form, ubar), ubar, u))
source, flux, boundarySource = splitUFLForm(form)
linSource, linFlux, linBoundarySource = splitUFLForm(dform)
fluxDivergence, _, _ = splitUFLForm(inner(source.as_ufl() - div(flux.as_ufl()), phi) * dx(0))
# split linNVSource off linSource
# linSources = splitUFL2(u, du, d2u, linSource)
# linNVSource = linSources[2]
# linSource = linSources[0] + linSources[1]
if patch is not None:
model = ConservationLawModel(dimDomain, dimRange, u, modelSignature(form,*patch,*args))
else:
model = ConservationLawModel(dimDomain, dimRange, u, modelSignature(form,None,*args))
model._replaceCoeff = coeff
model.hasNeumanBoundary = not boundarySource.is_zero()
#expandform = expand_indices(expand_derivatives(expand_compounds(equation.lhs)))
#if expandform == adjoint(expandform):
# model.symmetric = 'true'
model.field = field
dirichletBCs = [arg for arg in args if isinstance(arg, DirichletBC)]
# deprecated
# if "dirichlet" in kwargs:
# dirichletBCs += [DirichletBC(u.ufl_function_space(), as_vector(value), bndId) for bndId, value in kwargs["dirichlet"].items()]
uflCoefficients = set(form.coefficients())
for bc in dirichletBCs:
_, c = extract_arguments_and_coefficients(bc.ufl_value)
uflCoefficients |= set(c)
if patch is not None:
for a in patch:
if isinstance(a, Expr):
_, c = extract_arguments_and_coefficients(a)
uflCoefficients |= set(c)
constants = dict()
coefficients = dict()
for coefficient in uflCoefficients:
try:
name = getattr(coefficient, "name")
except AttributeError:
name = str(coefficient)
if coefficient.is_cellwise_constant():
try:
parameter = getattr(coefficient, "parameter")
except AttributeError:
parameter = None
if len(coefficient.ufl_shape) == 0:
constants[coefficient] = model.addConstant('double', name=name, parameter=parameter)
elif len(coefficient.ufl_shape) == 1:
constants[coefficient] = model.addConstant('Dune::FieldVector< double, ' + str(coefficient.ufl_shape[0]) + ' >', name=name, parameter=parameter)
else:
Exception('Currently, only scalars and vectors are supported as constants')
else:
shape = coefficient.ufl_shape[0]
try:
coefficients[coefficient] = model.addCoefficient(
shape,
coefficient.cppTypeName,
name=name,
field=coefficient.ufl_function_space().field)
except AttributeError:
coefficients[coefficient] = model.addCoefficient(
shape,
coefficient.cppTypeName,
name=name)
model.coefficients = coefficients
model.constants = constants
tempVars = kwargs.get("tempVars", True)
predefined = {u: model.arg_u, du: model.arg_du, d2u: model.arg_d2u}
predefined[x] = UnformattedExpression('auto', 'entity().geometry().global( Dune::Fem::coordinate( ' + model.arg_x.name + ' ) )')
model.predefineCoefficients(predefined,'x')
model.source = generateCode(predefined, source, tempVars=tempVars)
model.flux = generateCode(predefined, flux, tempVars=tempVars)
predefined.update({ubar: model.arg_ubar, dubar: model.arg_dubar, d2ubar: model.arg_d2ubar})
model.linSource = generateCode(predefined, linSource, tempVars=tempVars)
model.linFlux = generateCode(predefined, linFlux, tempVars=tempVars)
# model.linNVSource = generateCode({u: arg, du: darg, d2u: d2arg, ubar: argbar, dubar: dargbar, d2ubar: d2argbar}, linNVSource, model.coefficients, tempVars)
predefined = {u: model.arg_u}
predefined[x] = UnformattedExpression('auto', 'entity().geometry().global( Dune::Fem::coordinate( ' + model.arg_x.name + ' ) )')
model.predefineCoefficients(predefined,'x')
model.alpha = generateCode(predefined, boundarySource, tempVars=tempVars)
predefined.update({ubar: model.arg_ubar})
model.linAlpha = generateCode(predefined, linBoundarySource, tempVars=tempVars)
predefined = {u: model.arg_u, du: model.arg_du, d2u: model.arg_d2u}
predefined[x] = UnformattedExpression('auto', 'entity().geometry().global( Dune::Fem::coordinate( ' + model.arg_x.name + ' ) )')
model.predefineCoefficients(predefined,'x')
model.fluxDivergence = generateCode(predefined, fluxDivergence, tempVars=tempVars)
if dirichletBCs:
model.hasDirichletBoundary = True
predefined = {}
predefined[x] = UnformattedExpression('auto', 'entity().geometry().global( Dune::Fem::coordinate( ' + model.arg_x.name + ' ) )')
model.predefineCoefficients(predefined,'x')
maxId = 0
codeDomains = []
bySubDomain = dict()
neuman = []
for bc in dirichletBCs:
if bc.subDomain in bySubDomain:
raise Exception('Multiply defined Dirichlet boundary for subdomain ' + str(bc.subDomain))
if not isinstance(bc.functionSpace, (FunctionSpace, FiniteElementBase)):
raise Exception('Function space must either be a ufl.FunctionSpace or a ufl.FiniteElement')
if isinstance(bc.functionSpace, FunctionSpace) and (bc.functionSpace != u.ufl_function_space()):
raise Exception('Space of trial function and dirichlet boundary function must be the same - note that boundary conditions on subspaces are not available, yet')
if isinstance(bc.functionSpace, FiniteElementBase) and (bc.functionSpace != u.ufl_element()):
raise Exception('Cannot handle boundary conditions on subspaces, yet')
if isinstance(bc.value, list):
neuman = [i for i, x in enumerate(bc.value) if x == None]
else:
neuman = []
value = ExprTensor(u.ufl_shape)
for key in value.keys():
value[key] = Indexed(bc.ufl_value, MultiIndex(tuple(FixedIndex(k) for k in key)))
if isinstance(bc.subDomain,int):
bySubDomain[bc.subDomain] = value,neuman
maxId = max(maxId, bc.subDomain)
else:
domain = ExprTensor(())
for key in domain.keys():
domain[key] = Indexed(bc.subDomain, MultiIndex(tuple(FixedIndex(k) for k in key)))
codeDomains.append( (value,neuman,domain) )
defaultCode = []
defaultCode.append(Declaration(Variable('int', 'domainId')))
defaultCode.append(Declaration(Variable('auto', 'tmp0'),
initializer=UnformattedExpression('auto','intersection.geometry().center()')))
for i,v in enumerate(codeDomains):
block = Block()
defaultCode.append(
generateDirichletDomainCode(predefined, v[2], tempVars=tempVars))
defaultCode.append('if (domainId)')
block = UnformattedBlock()
block.append('std::fill( dirichletComponent.begin(), dirichletComponent.end(), ' + str(maxId+i+1) + ' );')
if len(v[1])>0:
[block.append('dirichletComponent[' + str(c) + '] = 0;') for c in v[1]]
block.append('return true;')
defaultCode.append(block)
defaultCode.append(return_(False))
bndId = Variable('const int', 'bndId')
getBndId = UnformattedExpression('int', 'BoundaryIdProviderType::boundaryId( ' + model.arg_i.name + ' )')
switch = SwitchStatement(bndId, default=defaultCode)
for i,v in bySubDomain.items():
code = []
if len(v[1])>0:
[code.append('dirichletComponent[' + str(c) + '] = 0;') for c in v[1]]
code.append(return_(True))
switch.append(i, code)
model.isDirichletIntersection = [Declaration(bndId, initializer=getBndId),
UnformattedBlock('std::fill( dirichletComponent.begin(), dirichletComponent.end(), ' + bndId.name + ' );'),
switch
]
switch = SwitchStatement(model.arg_bndId, default=assign(model.arg_r, construct("RRangeType", 0)))
for i, v in bySubDomain.items():
switch.append(i, generateDirichletCode(predefined, v[0], tempVars=tempVars))
for i,v in enumerate(codeDomains):
switch.append(i+maxId+1, generateDirichletCode(predefined, v[0], tempVars=tempVars))
model.dirichlet = [switch]
return model
def _compileUFL(integrands, form, *args, tempVars=True):
if isinstance(form, Equation):
form = form.lhs - form.rhs
if not isinstance(form, Form):
raise ValueError("ufl.Form or ufl.Equation expected.")
# added for dirichlet treatment same as conservationlaw model
dirichletBCs = [arg for arg in args if isinstance(arg, DirichletBC)]
uflExpr = [form] + [bc.ufl_value for bc in dirichletBCs]
if len(form.arguments()) < 2:
raise ValueError(
"Integrands model requires form with at least two arguments.")
x = SpatialCoordinate(form.ufl_cell())
n = FacetNormal(form.ufl_cell())
cellVolume = CellVolume(form.ufl_cell())
maxCellEdgeLength = MaxCellEdgeLength(form.ufl_cell())
minCellEdgeLength = MinCellEdgeLength(form.ufl_cell())
facetArea = FacetArea(form.ufl_cell())
maxFacetEdgeLength = MaxFacetEdgeLength(form.ufl_cell())
minFacetEdgeLength = MinFacetEdgeLength(form.ufl_cell())
phi, u = form.arguments()
ubar = Coefficient(u.ufl_function_space())
derivatives = gatherDerivatives(form, [phi, u])
derivatives_phi = derivatives[0]
derivatives_u = derivatives[1]
derivatives_ubar = map_expr_dags(Replacer({u: ubar}), derivatives_u)
try:
integrands.field = u.ufl_function_space().field
except AttributeError:
pass
integrals = splitForm(form, [phi])
dform = apply_derivatives(derivative(action(form, ubar), ubar, u))
linearizedIntegrals = splitForm(dform, [phi, u])
if not set(
integrals.keys()) <= {'cell', 'exterior_facet', 'interior_facet'}:
raise Exception('unknown integral encountered in ' +
str(set(integrals.keys())) + '.')
if 'cell' in integrals.keys():
arg = Variable(integrands.domainValueTuple, 'u')
predefined = {
derivatives_u[i]: arg[i]
for i in range(len(derivatives_u))
}
predefined[x] = integrands.spatialCoordinate('x')
predefined[cellVolume] = integrands.cellVolume()
predefined[maxCellEdgeLength] = maxEdgeLength(
integrands.cellGeometry())
predefined[minCellEdgeLength] = minEdgeLength(
integrands.cellGeometry())
integrands.predefineCoefficients(predefined, False)
integrands.interior = generateUnaryCode(predefined,
derivatives_phi,
integrals['cell'],
tempVars=tempVars)
predefined = {
derivatives_ubar[i]: arg[i]
for i in range(len(derivatives_u))
}
predefined[x] = integrands.spatialCoordinate('x')
predefined[cellVolume] = integrands.cellVolume()
predefined[maxCellEdgeLength] = maxEdgeLength(
integrands.cellGeometry())
predefined[minCellEdgeLength] = minEdgeLength(
integrands.cellGeometry())
integrands.predefineCoefficients(predefined, False)
integrands.linearizedInterior = generateUnaryLinearizedCode(
predefined,
derivatives_phi,
derivatives_u,
linearizedIntegrals.get('cell'),
tempVars=tempVars)
if 'exterior_facet' in integrals.keys():
arg = Variable(integrands.domainValueTuple, 'u')
predefined = {
derivatives_u[i]: arg[i]
for i in range(len(derivatives_u))
}
predefined[x] = integrands.spatialCoordinate('x')
predefined[n] = integrands.facetNormal('x')
predefined[cellVolume] = integrands.cellVolume()
predefined[maxCellEdgeLength] = maxEdgeLength(
integrands.cellGeometry())
predefined[minCellEdgeLength] = minEdgeLength(
integrands.cellGeometry())
predefined[facetArea] = integrands.facetArea()
predefined[maxFacetEdgeLength] = maxEdgeLength(
integrands.facetGeometry())
predefined[minFacetEdgeLength] = minEdgeLength(
integrands.facetGeometry())
integrands.predefineCoefficients(predefined, False)
integrands.boundary = generateUnaryCode(predefined,
derivatives_phi,
integrals['exterior_facet'],
tempVars=tempVars)
predefined = {
derivatives_ubar[i]: arg[i]
for i in range(len(derivatives_u))
}
predefined[x] = integrands.spatialCoordinate('x')
predefined[n] = integrands.facetNormal('x')
predefined[cellVolume] = integrands.cellVolume()
predefined[maxCellEdgeLength] = maxEdgeLength(
integrands.cellGeometry())
predefined[minCellEdgeLength] = minEdgeLength(
integrands.cellGeometry())
predefined[facetArea] = integrands.facetArea()
predefined[maxFacetEdgeLength] = maxEdgeLength(
integrands.facetGeometry())
predefined[minFacetEdgeLength] = minEdgeLength(
integrands.facetGeometry())
integrands.predefineCoefficients(predefined, False)
integrands.linearizedBoundary = generateUnaryLinearizedCode(
predefined,
derivatives_phi,
derivatives_u,
linearizedIntegrals.get('exterior_facet'),
tempVars=tempVars)
if 'interior_facet' in integrals.keys():
argIn = Variable(integrands.domainValueTuple, 'uIn')
argOut = Variable(integrands.domainValueTuple, 'uOut')
predefined = {
derivatives_u[i](s): arg[i]
for i in range(len(derivatives_u))
for s, arg in (('+', argIn), ('-', argOut))
}
predefined[x] = integrands.spatialCoordinate('xIn')
predefined[n('+')] = integrands.facetNormal('xIn')
predefined[cellVolume('+')] = integrands.cellVolume('Side::in')
predefined[cellVolume('-')] = integrands.cellVolume('Side::out')
predefined[maxCellEdgeLength('+')] = maxEdgeLength(
integrands.cellGeometry('Side::in'))
predefined[maxCellEdgeLength('-')] = maxEdgeLength(
integrands.cellGeometry('Side::out'))
predefined[minCellEdgeLength('+')] = minEdgeLength(
integrands.cellGeometry('Side::in'))
predefined[minCellEdgeLength('-')] = minEdgeLength(
integrands.cellGeometry('Side::out'))
predefined[facetArea] = integrands.facetArea()
predefined[maxFacetEdgeLength] = maxEdgeLength(
integrands.facetGeometry())
predefined[minFacetEdgeLength] = minEdgeLength(
integrands.facetGeometry())
integrands.predefineCoefficients(predefined, True)
integrands.skeleton = generateBinaryCode(predefined,
derivatives_phi,
integrals['interior_facet'],
tempVars=tempVars)
predefined = {
derivatives_ubar[i](s): arg[i]
for i in range(len(derivatives_u))
for s, arg in (('+', argIn), ('-', argOut))
}
predefined[x] = integrands.spatialCoordinate('xIn')
predefined[n('+')] = integrands.facetNormal('xIn')
predefined[cellVolume('+')] = integrands.cellVolume('Side::in')
predefined[cellVolume('-')] = integrands.cellVolume('Side::out')
predefined[maxCellEdgeLength('+')] = maxEdgeLength(
integrands.cellGeometry('Side::in'))
predefined[maxCellEdgeLength('-')] = maxEdgeLength(
integrands.cellGeometry('Side::out'))
predefined[minCellEdgeLength('+')] = minEdgeLength(
integrands.cellGeometry('Side::in'))
predefined[minCellEdgeLength('-')] = minEdgeLength(
integrands.cellGeometry('Side::out'))
predefined[facetArea] = integrands.facetArea()
predefined[maxFacetEdgeLength] = maxEdgeLength(
integrands.facetGeometry())
predefined[minFacetEdgeLength] = minEdgeLength(
integrands.facetGeometry())
integrands.predefineCoefficients(predefined, True)
integrands.linearizedSkeleton = generateBinaryLinearizedCode(
predefined,
derivatives_phi,
derivatives_u,
linearizedIntegrals.get('interior_facet'),
tempVars=tempVars)
if dirichletBCs:
integrands.hasDirichletBoundary = True
predefined = {}
# predefined[x] = UnformattedExpression('auto', 'entity().geometry().global( Dune::Fem::coordinate( ' + integrands.arg_x.name + ' ) )')
predefined[x] = UnformattedExpression(
'auto', 'intersection.geometry().center( )')
integrands.predefineCoefficients(predefined, False)
maxId = 0
codeDomains = []
bySubDomain = dict()
neuman = []
wholeDomain = None
for bc in dirichletBCs:
if bc.subDomain in bySubDomain:
raise Exception(
'Multiply defined Dirichlet boundary for subdomain ' +
str(bc.subDomain))
if not isinstance(bc.functionSpace,
(FunctionSpace, FiniteElementBase)):
raise Exception(
'Function space must either be a ufl.FunctionSpace or a ufl.FiniteElement'
)
if isinstance(bc.functionSpace, FunctionSpace) and (
bc.functionSpace != u.ufl_function_space()):
raise Exception(
'Space of trial function and dirichlet boundary function must be the same - note that boundary conditions on subspaces are not available, yet'
)
if isinstance(bc.functionSpace, FiniteElementBase) and (
bc.functionSpace != u.ufl_element()):
raise Exception(
'Cannot handle boundary conditions on subspaces, yet')
if isinstance(bc.value, list):
neuman = [i for i, x in enumerate(bc.value) if x == None]
else:
neuman = []
value = ExprTensor(u.ufl_shape)
for key in value.keys():
value[key] = Indexed(
bc.ufl_value,
MultiIndex(tuple(FixedIndex(k) for k in key)))
if bc.subDomain is None:
wholeDomain = value, neuman
elif isinstance(bc.subDomain, int):
bySubDomain[bc.subDomain] = value, neuman
maxId = max(maxId, bc.subDomain)
else:
domain = ExprTensor(())
for key in domain.keys():
domain[key] = Indexed(
bc.subDomain,
MultiIndex(tuple(FixedIndex(k) for k in key)))
codeDomains.append((value, neuman, domain))
defaultCode = []
if len(codeDomains) > 0:
defaultCode.append(Declaration(Variable('int', 'domainId')))
# defaultCode.append(Declaration(Variable('auto', 'x'),
# initializer=UnformattedExpression('auto','intersection.geometry().center()')))
for i, v in enumerate(codeDomains):
block = Block()
block.append(
generateDirichletDomainCode(predefined,
v[2],
tempVars=tempVars))
block.append('if (domainId)')
ifBlock = UnformattedBlock()
ifBlock.append(
'std::fill( dirichletComponent.begin(), dirichletComponent.end(), '
+ str(maxId + i + 2) + ' );')
if len(v[1]) > 0:
[
ifBlock.append('dirichletComponent[' + str(c) + '] = 0;')
for c in v[1]
]
ifBlock.append('return true;')
block.append(ifBlock)
defaultCode.append(block)
if wholeDomain is not None:
block = UnformattedBlock()
block.append(
'std::fill( dirichletComponent.begin(), dirichletComponent.end(), '
+ str(maxId + 1) + ' );')
if len(wholeDomain[1]) > 0:
[
block.append('dirichletComponent[' + str(c) + '] = 0;')
for c in wholeDomain[1]
]
block.append('return true;')
defaultCode.append(block)
defaultCode.append(return_(False))
bndId = Variable('const int', 'bndId')
getBndId = UnformattedExpression(
'int', 'BoundaryIdProviderType::boundaryId( ' +
integrands.arg_i.name + ' )')
# getBndId = UnformattedExpression('int', 'boundaryIdGetter_.boundaryId( ' + integrands.arg_i.name + ' )')
switch = SwitchStatement(bndId, default=defaultCode)
for i, v in bySubDomain.items():
code = []
if len(v[1]) > 0:
[
code.append('dirichletComponent[' + str(c) + '] = 0;')
for c in v[1]
]
code.append(return_(True))
switch.append(i, code)
integrands.isDirichletIntersection = [
Declaration(bndId, initializer=getBndId),
UnformattedBlock(
'std::fill( dirichletComponent.begin(), dirichletComponent.end(), '
+ bndId.name + ' );'), switch
]
predefined[x] = UnformattedExpression(
'auto', 'entity().geometry().global( Dune::Fem::coordinate( ' +
integrands.arg_x.name + ' ) )')
if wholeDomain is None:
defaultCode = assign(integrands.arg_r, construct("RRangeType", 0))
else:
defaultCode = generateDirichletCode(predefined,
wholeDomain[0],
tempVars=tempVars)
switch = SwitchStatement(integrands.arg_bndId, default=defaultCode)
for i, v in bySubDomain.items():
switch.append(
i, generateDirichletCode(predefined, v[0], tempVars=tempVars))
for i, v in enumerate(codeDomains):
switch.append(
i + maxId + 2,
generateDirichletCode(predefined, v[0], tempVars=tempVars))
integrands.dirichlet = [switch]
return integrands