CollocatedLowOrderDiscretisation.py

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# This file is part of the ExaHyPE2 project. For conditions of distribution and 
# use, please see the copyright notice at www.peano-framework.org
import peano4
import jinja2
import peano4.output.Jinja2TemplatedHeaderImplementationFilePair
import dastgen2
 
import os
 
from .Solver                                              import Solver
from multigrid.petsc.api.actionsets.EnumerateDoFs             import EnumerateDoFs
from multigrid.petsc.api.actionsets.InitVertexDoFs            import InitVertexDoFs
from multigrid.petsc.api.actionsets.ProjectPETScSolutionBackOntoMesh import ProjectPETScSolutionOnVerticesBackOntoMesh
 
from abc import abstractmethod
 
from peano4.solversteps.ActionSet import ActionSet
 
 
 
 
class AssemblePetscMatrix(ActionSet):
  """!
 
  Trigger assembly of PETSc matrix and project rhs values from mesh onto rhs vector entries
 
  """
  TemplateTouchCellFirstTime = """
  if (fineGridCell{{SOLVER_NAME}}PETScData.getType() == celldata::{{SOLVER_NAME}}PETScData::Type::Interior) {
      //init a vector to collect global indices, and recall their position in the 
      //enumeration so we can apply the stencil correctly
      std::vector<int> vertexIndices(TwoPowerD, -1);
    
      for (int i=0; i<TwoPowerD ; i++) {
        if (fineGridVertices{{SOLVER_NAME}}PETScData(i).getType() == vertexdata::{{SOLVER_NAME}}PETScData::Type::Interior) {
          //get a global index
          std::pair<int,int> localIndex = std::make_pair(_spacetreeId, fineGridVertices{{SOLVER_NAME}}PETScData(i).getUnknownBaseNumber());
          int globalIndex               = repositories::{{SOLVER_INSTANCE}}.getLocalToGlobalMap().getGlobalIndex(localIndex, ::petsc::LocalToGlobalMap::Type::Vertex);
          vertexIndices[i]              = globalIndex;
        }
      }
      
      //lhs
      auto lhsMatrixEntry = repositories::{{SOLVER_INSTANCE}}.getLhsMatrix(marker.x(),marker.h());
      // loop over the dofs
      for (int d=0; d<{{VERTEX_CARDINALITY}}; d++)
      {
        for (int i=0; i<TwoPowerD; i++) {
          for (int j=0; j<TwoPowerD; j++) {
            if (vertexIndices[i] != -1 and vertexIndices[j] != -1) {
              repositories::{{SOLVER_INSTANCE}}.getLinearEquationSystem().increment(
                vertexIndices[i] + d, //d for dof
                vertexIndices[j] + d, 
                lhsMatrixEntry(d*TwoPowerD+i,d*TwoPowerD+j)
              );
            }
          }
        }
      
        // rhs
        auto   rhs = repositories::{{SOLVER_INSTANCE}}.getRhsMatrix(marker.x(),marker.h());
        for (int i=0; i<TwoPowerD; i++) {
        logTraceInWith2Arguments( "touchCellFirstTime::RHS", marker.toString(), rhs );
          if (fineGridVertices{{SOLVER_NAME}}PETScData(i).getType() == vertexdata::{{SOLVER_NAME}}PETScData::Type::Interior) {
            double rhsContribution = 0.0;
            for (int j=0; j<TwoPowerD; j++) {
              double rhsValue = fineGridVertices{{SOLVER_NAME}}(j).getRhs(d);
              
              /*
              we call d*TwoPowerD+i here because the rhs matrix typically has dimensions
              TwoPowerD x TwoPowerD. When we promote to n unknowns, we make the matrix
              larger: n*TwoPowerD x n*TwoPowerD. So, we call d*TwoPowerD+i so that we can
              skip past the parts of the matrix we are no longer interested in.
              */
              rhsContribution += rhs(d*TwoPowerD+i,d*TwoPowerD+j) * rhsValue;
              logTraceInWith3Arguments("AssembleRhs", rhs(d*TwoPowerD+i,d*TwoPowerD+j), rhsContribution, rhsValue);
              logTraceOut("AssembleRhs");
            }
            repositories::{{SOLVER_INSTANCE}}.getLinearEquationSystem().increment(
              vertexIndices[i] + d,
              rhsContribution
            );
          }
        }
 
      }
      logTraceOut( "touchCellFirstTime::RHS" );
  }
  """
 
  TemplateTouchVertexFirstTime="""
  //here we send the value, rhs from the mesh to petsc
 
  if (fineGridVertex{{SOLVER_NAME}}PETScData.getType() == vertexdata::{{SOLVER_NAME}}PETScData::Type::Interior) {
    //first, get global index
    std::pair<int,int> localIndex = std::make_pair(_spacetreeId, fineGridVertex{{SOLVER_NAME}}PETScData.getUnknownBaseNumber());
    int globalIndex               = repositories::{{SOLVER_INSTANCE}}.getLocalToGlobalMap().getGlobalIndex(localIndex, ::petsc::LocalToGlobalMap::Type::Vertex);
    
    assertion3(globalIndex>=0, globalIndex, marker.toString(), fineGridVertex{{SOLVER_NAME}}PETScData.toString() );
 
    for (int i=0; i<{{VERTEX_CARDINALITY}}; i++)
    {
      //get the rhs that was present in the mesh
      double rhs = fineGridVertex{{SOLVER_NAME}}.getRhs(i);
 
      //send these to petsc
      repositories::{{SOLVER_INSTANCE}}.getLinearEquationSystem().insert(globalIndex + i, rhs);
    }
 
  }
  """
  
  def __init__(self,
               solver,
               ):
    """!
    
Initialise vertex-associated degrees of freedom
    
The initialisation requires a solver object, as we have to know what C++
object this solver will produce.
 
solver: petsc.solvers.CollocatedLowOrderDiscretisation or similar solver where
  degrees of freedom are assigned exclusively to the vertices.
 
    """
 
    super( AssemblePetscMatrix, self ).__init__()
    self.d = {}
    self.d["SOLVER_INSTANCE"]        = solver.instance_name()
    self.d["SOLVER_NAME"]            = solver.typename()
    self.d["VERTEX_CARDINALITY"]     = solver.number_of_matrix_entries_per_vertex
 
  def get_body_of_operation(self,operation_name):
    """!
 
Provide C++ code snippet for peano4.solversteps.ActionSet.OPERATION_TOUCH_VERTEX_FIRST_TIME  
Provide C++ code snippet for peano4.solversteps.ActionSet.OPERATION_TOUCH_CELL_FIRST_TIME  
  
Only touchVertexFirstTime is an event where this action set actually
does something: It inserts the template TemplateTouchVertexFirstTime and 
replaces it with entries from the dictionary. The latter is befilled
in init().
 
We actually do something during touchVertexFirstTime and touchCellFirstTime. We insert the 
appropriate template into each.
    
    """
    result = ""
    if operation_name==peano4.solversteps.ActionSet.OPERATION_TOUCH_CELL_FIRST_TIME:
      result = jinja2.Template(self.TemplateTouchCellFirstTime).render(**self.d)
      pass 
    if operation_name==peano4.solversteps.ActionSet.OPERATION_TOUCH_VERTEX_FIRST_TIME:
      result = jinja2.Template(self.TemplateTouchVertexFirstTime).render(**self.d)
      pass 
    return result
 
 
  def get_action_set_name(self):
    """!
    
    Configure name of generated C++ action set
    
    This action set will end up in the directory observers with a name that
    reflects how the observer (initialisation) is mapped onto this action 
    set. The name pattern is ObserverName2ActionSetIdentifier where this
    routine co-determines the ActionSetIdentifier. We make is reflect the
    Python class name.
     
    """
    return __name__.replace(".py", "").replace(".", "_")
 
 
  def user_should_modify_template(self):
    """!
    
    The action set that Peano will generate that corresponds to this class
    should not be modified by users and can safely be overwritten every time
    we run the Python toolkit.
    
    """
    return False
 
 
  def get_includes(self):
    """!
   
Consult petsc.Project for details
    
"""    
    return """
#include "repositories/SolverRepository.h"
#include "tarch/la/Matrix.h"
"""
 
  def get_attributes(self):
    """!
    
    
    """
    return f"""
  int _spacetreeId;    
"""
      
  def get_constructor_body(self):
    """!
    
Define body of constructor
 
@see get_attributes()
    
    """
    return f"""
    _spacetreeId = treeNumber;
"""
 
 
 
class CollocatedLowOrderDiscretisation(Solver):
  """!
    
  This is one of the simplest solvers that you can think of. It places
  one degree of freedom (can be scalar or a vector) on each vertex. As
  we support solely element-wise assembly, this means you can implement
  things like a 9-point (2d) or 27-point (3d) stencil, but not really
  anything more sophisticated.
 
  cell_lhs_matrix: [double] or []
    Pass in [] if you prefer to assemble the matrix per cell yourself.
    
  cell_rhs_matrix: [double] or []
    Pass in [] if you prefer to assemble the matrix per cell yourself.
  
  cell_lhs_matrix_scaling: Positive integer
    The lhs matrix is scaled with @f$ h^x @f$ where the x is defined by this 
    parameter. If you don't specify an lhs matrix, i.e. you prefer to inject
    this matrix manually, you can leave this parameter None, as it is not 
    used.
    
  cell_rhs_matrix_scaling: Positive integer
    The rhs matrix is scaled with @f$ h^x @f$ where the x is defined by this 
    parameter. If you don't specify a rhs matrix, i.e. you prefer to inject
    this matrix manually, you can leave this parameter None, as it is not 
    used.
 
  """
  def __init__(self,
               name,
               unknowns,
               dimensions,
               min_h,
               max_h,
               cell_lhs_matrix,
               cell_rhs_matrix,
               cell_lhs_matrix_scaling,
               cell_rhs_matrix_scaling,
               ):
    """!
   
    Collocated low-order (d-linear) Finite Elements 
       
    """
    super( CollocatedLowOrderDiscretisation, self ).__init__( name,
                                                              min_h,
                                                              max_h
                                                              )
    self._unknowns  = unknowns
    self._vertex_pde_data = peano4.datamodel.DaStGen2( name )
    self._vertex_pde_data.data.add_attribute( peano4.dastgen2.Peano4DoubleArray( "value",  str(unknowns) ) )
    self._vertex_pde_data.data.add_attribute( peano4.dastgen2.Peano4DoubleArray( "rhs",    str(unknowns) ) )
 
    self.cell_lhs_matrix = cell_lhs_matrix
    self.cell_rhs_matrix = cell_rhs_matrix
    self.cell_lhs_matrix_scaling = cell_lhs_matrix_scaling
    self.cell_rhs_matrix_scaling = cell_rhs_matrix_scaling
    pass
 
 
  def add_to_Peano4_datamodel( self, datamodel, verbose ):
    super( CollocatedLowOrderDiscretisation, self ).add_to_Peano4_datamodel(datamodel,verbose)
    datamodel.add_vertex(self._vertex_pde_data)
  
  
  def add_use_statements(self, observer):
    super( CollocatedLowOrderDiscretisation, self ).add_use_statements(observer)
    observer.use_vertex( self._vertex_pde_data )
 
 
  def add_to_plot(self, observer):
    """!
    
    Tell the project's observer how to plot the data
    
    Nothing fancy here. We add plotters from Peano's toolbox to visualise
    solution and right-hand side. 
    
    """
    observer.add_action_set( peano4.toolbox.PlotVertexDataInPeanoBlockFormat(
      filename       = "solution-" + self._name,
      vertex_unknown = self._vertex_pde_data,
      getter         = "getValue().data()",
      description    = "u",
      time_stamp_evaluation        = peano4.toolbox.PlotVertexDataInPeanoBlockFormat.CountTimeSteps, 
      number_of_unknows_per_vertex = self._unknowns,
      guard_predicate              = "true", 
      ))
    observer.add_action_set( peano4.toolbox.PlotVertexDataInPeanoBlockFormat(
      filename       = "rhs-" + self._name,
      vertex_unknown = self._vertex_pde_data,
      getter         = "getRhs().data()",
      description    = "u",
      time_stamp_evaluation        = peano4.toolbox.PlotVertexDataInPeanoBlockFormat.CountTimeSteps, 
      number_of_unknows_per_vertex = self._unknowns,
      guard_predicate              = "true", 
      ))
    pass
 
 
  def add_to_create_grid(self, observer):
    observer.add_action_set(peano4.toolbox.CreateRegularGrid(self.max_hmax_h))
    pass
 
  
  def add_to_enumerate_and_init_solution(self, observer):
    """!
    
    Solution initialisation
    
    Close to trivial: Just add the action set petsc.actionsets.InitVertexDoFs
    to the observer.
    
    """
    observer.add_action_set( EnumerateDoFs(self, True, False) )
    observer.add_action_set( InitVertexDoFs(self) ) 
    pass
  
  
  def add_to_assemble(self, observer):
    observer.add_action_set( AssemblePetscMatrix(self) )
    pass
  
 
  def add_to_init_petsc(self, observer):
    pass
 
 
  def add_to_map_solution_onto_mesh(self, observer):
    observer.add_action_set( ProjectPETScSolutionOnVerticesBackOntoMesh(self) )
    pass
 
 
  def add_implementation_files_to_project(self, namespace, output, subdirectory=""):
    """
    
    The solver creates two classes: An abstract base class and its 
    implementations. The abstract base class will be overwritten if
    there is one in the directory. I pipe all the Python constants 
    into this base class, so they are available in the C++ code. 
    
    The implementation file will not be overwritten, as I assume that
    the users will write their own domain-specific stuff in there. If
    it does not exist yet, I'll create an empty stub which can be 
    befilled with something meaningful.
    
    Besides the creation of these two files, I also add the files to the
    project artifacts and the makefile, so they are captured by the build
    system.
    
    """
    templatefile_prefix  = os.path.dirname( os.path.realpath(__file__) ) + "/"
    templatefile_prefix += self.__class__.__name__
 
    if(subdirectory):
        subdirectory += "/"
 
    dictionary = {
        "SOLVER_INCLUDES": "",
        "MIN_H": self.min_hmin_h,
        "MAX_H": self.max_hmax_h,
        "CELL_LHS_MATRIX": self.cell_lhs_matrix,
        "CELL_RHS_MATRIX": self.cell_rhs_matrix,
        "VERTEX_CARDINALITY": self.number_of_matrix_entries_per_vertexnumber_of_matrix_entries_per_vertexnumber_of_matrix_entries_per_vertex,
        "CELL_LHS_MATRIX_SCALING": self.cell_lhs_matrix_scaling,
        "CELL_RHS_MATRIX_SCALING": self.cell_rhs_matrix_scaling,
        "SOLVER_NAME":                           self.typename(),
        }
 
    generated_abstract_header_file = peano4.output.Jinja2TemplatedHeaderImplementationFilePair(
      templatefile_prefix + ".Abstract.template.h",
      templatefile_prefix + ".Abstract.template.cpp",
      "Abstract" + self.typename(), 
      namespace,
      subdirectory + ".", 
      dictionary,
      True,
      True)
    generated_solver_files = peano4.output.Jinja2TemplatedHeaderImplementationFilePair(
      templatefile_prefix + ".template.h",
      templatefile_prefix + ".template.cpp",
      self.typename(), 
      namespace,
      subdirectory + ".", 
      dictionary,
      False,
      True)
 
    output.add( generated_abstract_header_file )
    output.add( generated_solver_files )
    output.makefile.add_h_file( subdirectory + "Abstract" + self._name + ".h", generated=True )
    output.makefile.add_h_file( subdirectory + self._name + ".h", generated=True )
    output.makefile.add_cpp_file( subdirectory + "Abstract" + self._name + ".cpp", generated=True )
    output.makefile.add_cpp_file( subdirectory + self._name + ".cpp", generated=True )
 
 
 
  @property
  def number_of_matrix_entries_per_vertex(self):
    """!
    
    Nothing is associated with the vertex. There's nothing to be done here.
    
    """
    return self._unknowns
  
  @property
  def number_of_matrix_entries_per_face(self):
    """!
    
    In the DG scheme, we have a projection from the left and we have a 
    projection from the right. These values are proper projections, i.e.
    they do not carry any semantics. Then we have to solve the Riemann
    problem, and need one more unknown to store the outcome of that one.
    
    """
    return 0
  
  @property
  def number_of_matrix_entries_per_cell(self):
    """!
    
    This is the actual unknowns per cell
    
    """
    return 0