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/* $Id$ */ |
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/******************************************************* |
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* |
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* Copyright 2003-2007 by ACceSS MNRF |
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* Copyright 2007 by University of Queensland |
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* |
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* http://esscc.uq.edu.au |
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* Primary Business: Queensland, Australia |
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* Licensed under the Open Software License version 3.0 |
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* http://www.opensource.org/licenses/osl-3.0.php |
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* |
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*******************************************************/ |
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|
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/**************************************************************/ |
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|
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/* assembles the mass matrix in lumped form */ |
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|
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/* The coefficient D has to be defined on the integration points or not present. */ |
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/* lumpedMat has to be initialized before the routine is called. */ |
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/**************************************************************/ |
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|
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#include "Assemble.h" |
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#include "Util.h" |
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#ifdef _OPENMP |
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#include <omp.h> |
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#endif |
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|
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/* Disabled until the tests pass */ |
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/* #define NEW_LUMPING */ /* */ |
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|
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/**************************************************************/ |
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void Finley_Assemble_LumpedSystem(Finley_NodeFile* nodes,Finley_ElementFile* elements, escriptDataC* lumpedMat, escriptDataC* D) |
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{ |
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bool_t reducedIntegrationOrder=FALSE, expandedD; |
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char error_msg[LenErrorMsg_MAX]; |
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Assemble_Parameters p; |
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dim_t dimensions[ESCRIPT_MAX_DATA_RANK], k, e, len_EM_lumpedMat, q, s; |
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type_t funcspace; |
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index_t color,*row_index=NULL; |
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double *S=NULL, *EM_lumpedMat=NULL, *Vol=NULL, *D_p=NULL, *lumpedMat_p=NULL; |
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register double rtmp; |
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size_t len_EM_lumpedMat_size; |
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#ifdef NEW_LUMPING /* HRZ lumping */ |
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register double m_t, diagS; |
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#endif |
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|
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Finley_resetError(); |
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|
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if (nodes==NULL || elements==NULL) return; |
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if (isEmpty(lumpedMat) || isEmpty(D)) return; |
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if (isEmpty(lumpedMat) && !isEmpty(D)) { |
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Finley_setError(TYPE_ERROR,"Assemble_LumpedSystem: coefficients are non-zero but no lumped matrix is given."); |
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return; |
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} |
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funcspace=getFunctionSpaceType(D); |
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/* check if all function spaces are the same */ |
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if (funcspace==FINLEY_ELEMENTS) { |
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reducedIntegrationOrder=FALSE; |
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} else if (funcspace==FINLEY_FACE_ELEMENTS) { |
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reducedIntegrationOrder=FALSE; |
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} else if (funcspace==FINLEY_REDUCED_ELEMENTS) { |
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reducedIntegrationOrder=TRUE; |
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} else if (funcspace==FINLEY_REDUCED_FACE_ELEMENTS) { |
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reducedIntegrationOrder=TRUE; |
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} else { |
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Finley_setError(TYPE_ERROR,"Assemble_LumpedSystem: assemblage failed because of illegal function space."); |
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} |
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if (! Finley_noError()) return; |
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|
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/* set all parameters in p*/ |
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Assemble_getAssembleParameters(nodes,elements,NULL,lumpedMat, reducedIntegrationOrder, &p); |
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if (! Finley_noError()) return; |
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|
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/* check if all function spaces are the same */ |
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|
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if (! numSamplesEqual(D,p.numQuad,elements->numElements) ) { |
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sprintf(error_msg,"Assemble_LumpedSystem: sample points of coefficient D don't match (%d,%d)",p.numQuad,elements->numElements); |
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Finley_setError(TYPE_ERROR,error_msg); |
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} |
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|
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/* check the dimensions: */ |
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|
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if (p.numEqu==1) { |
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if (!isEmpty(D)) { |
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if (!isDataPointShapeEqual(D,0,dimensions)) { |
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Finley_setError(TYPE_ERROR,"Assemble_LumpedSystem: coefficient D, rank 0 expected."); |
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} |
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|
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} |
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} else { |
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if (!isEmpty(D)) { |
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dimensions[0]=p.numEqu; |
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if (!isDataPointShapeEqual(D,1,dimensions)) { |
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sprintf(error_msg,"Assemble_LumpedSystem: coefficient D, expected shape (%d,)",dimensions[0]); |
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Finley_setError(TYPE_ERROR,error_msg); |
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} |
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} |
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} |
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if (Finley_noError()) { |
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lumpedMat_p=getSampleData(lumpedMat,0); |
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len_EM_lumpedMat=p.row_NN*p.numEqu; |
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len_EM_lumpedMat_size=len_EM_lumpedMat*sizeof(double); |
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expandedD=isExpanded(D); |
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S=p.row_jac->ReferenceElement->S; |
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#pragma omp parallel private(color, EM_lumpedMat, row_index, Vol, D_p, s, q, k, rtmp, m_t, diagS) |
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{ |
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EM_lumpedMat=THREAD_MEMALLOC(len_EM_lumpedMat,double); |
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row_index=THREAD_MEMALLOC(p.row_NN,index_t); |
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if ( !Finley_checkPtr(EM_lumpedMat) && !Finley_checkPtr(row_index) ) { |
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if (p.numEqu == 1) { |
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if (expandedD) { |
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for (color=elements->minColor;color<=elements->maxColor;color++) { |
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/* open loop over all elements: */ |
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#pragma omp for private(e) schedule(static) |
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for(e=0;e<elements->numElements;e++){ |
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if (elements->Color[e]==color) { |
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Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
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memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
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D_p=getSampleData(D,e); |
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#ifdef NEW_LUMPING /* HRZ lumping */ |
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/* |
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* Number of PDEs: 1 |
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* D_p varies over element: True |
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*/ |
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m_t=0; /* mass of the element: m_t */ |
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for (q=0;q<p.numQuad;q++) { |
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m_t+=Vol[q]*D_p[q]; |
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} |
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diagS=0; /* diagonal sum: S */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*D_p[q]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
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} |
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EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp; |
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diagS+=EM_lumpedMat[INDEX2(0,s,p.numEqu)]; |
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} |
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/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
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for (s=0;s<p.row_NS;s++) { |
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EM_lumpedMat[INDEX2(0,s,p.numEqu)]*=m_t/diagS; |
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} |
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#else /* row-sum lumping */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*D_p[q]; |
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EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp; |
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} |
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#endif |
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for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
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Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
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} /* end color check */ |
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} /* end element loop */ |
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} /* end color loop */ |
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} else { |
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for (color=elements->minColor;color<=elements->maxColor;color++) { |
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/* open loop over all elements: */ |
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#pragma omp for private(e) schedule(static) |
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for(e=0;e<elements->numElements;e++){ |
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if (elements->Color[e]==color) { |
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Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
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memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
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D_p=getSampleData(D,e); |
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#ifdef NEW_LUMPING /* HRZ lumping */ |
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/* |
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* Number of PDEs: 1 |
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* D_p varies over element: False |
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*/ |
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m_t=0; /* mass of the element: m_t */ |
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for (q=0;q<p.numQuad;q++) { |
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m_t+=Vol[q]*D_p[0]; |
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} |
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diagS=0; /* diagonal sum: S */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*D_p[0]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
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} |
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EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp; |
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diagS+=EM_lumpedMat[INDEX2(0,s,p.numEqu)]; |
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} |
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/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
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for (s=0;s<p.row_NS;s++) { |
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EM_lumpedMat[INDEX2(0,s,p.numEqu)]*=m_t/diagS; |
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} |
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#else /* row-sum lumping */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]; |
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EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp*D_p[0]; |
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} |
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#endif |
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for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
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Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
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} /* end color check */ |
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} /* end element loop */ |
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} /* end color loop */ |
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} |
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} else { |
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if (expandedD) { |
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for (color=elements->minColor;color<=elements->maxColor;color++) { |
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/* open loop over all elements: */ |
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#pragma omp for private(e) schedule(static) |
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for(e=0;e<elements->numElements;e++){ |
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if (elements->Color[e]==color) { |
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Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
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memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
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D_p=getSampleData(D,e); |
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#ifdef NEW_LUMPING /* HRZ lumping */ |
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/* |
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* Number of PDEs: Multiple |
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* D_p varies over element: True |
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*/ |
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for (k=0;k<p.numEqu;k++) { |
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m_t=0; /* mass of the element: m_t */ |
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for (q=0;q<p.numQuad;q++) { |
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m_t+=Vol[q]*D_p[INDEX2(k,q,p.numEqu)]; |
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} |
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diagS=0; /* diagonal sum: S */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*D_p[INDEX2(k,q,p.numEqu)]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
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} |
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EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp; |
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diagS+=EM_lumpedMat[INDEX2(k,s,p.numEqu)]; |
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} |
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/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
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for (s=0;s<p.row_NS;s++) { |
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EM_lumpedMat[INDEX2(k,s,p.numEqu)]*=m_t/diagS; |
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} |
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} |
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#else /* row-sum lumping */ |
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for (s=0;s<p.row_NS;s++) { |
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for (k=0;k<p.numEqu;k++) { |
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rtmp=0.; |
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for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*D_p[INDEX2(k,q,p.numEqu)]; |
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EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp; |
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} |
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} |
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#endif |
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for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
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Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
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} /* end color check */ |
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} /* end element loop */ |
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} /* end color loop */ |
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} else { |
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/* open loop over all elements: */ |
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for (color=elements->minColor;color<=elements->maxColor;color++) { |
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#pragma omp for private(e) schedule(static) |
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for(e=0;e<elements->numElements;e++){ |
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if (elements->Color[e]==color) { |
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Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
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memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
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D_p=getSampleData(D,e); |
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#ifdef NEW_LUMPING /* HRZ lumping */ |
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/* |
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* Number of PDEs: Multiple |
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* D_p varies over element: False |
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*/ |
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for (k=0;k<p.numEqu;k++) { |
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m_t=0; /* mass of the element: m_t */ |
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for (q=0;q<p.numQuad;q++) { |
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m_t+=Vol[q]*D_p[k]; |
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} |
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diagS=0; /* diagonal sum: S */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*D_p[k]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
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} |
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EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp; |
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diagS+=EM_lumpedMat[INDEX2(k,s,p.numEqu)]; |
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} |
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/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
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for (s=0;s<p.row_NS;s++) { |
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EM_lumpedMat[INDEX2(k,s,p.numEqu)]*=m_t/diagS; |
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} |
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} |
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#else /* row-sum lumping */ |
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for (s=0;s<p.row_NS;s++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]; |
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for (k=0;k<p.numEqu;k++) EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp*D_p[k]; |
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} |
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#endif |
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for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
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Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
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} /* end color check */ |
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} /* end element loop */ |
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} /* end color loop */ |
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} |
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} |
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} /* end of pointer check */ |
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THREAD_MEMFREE(EM_lumpedMat); |
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THREAD_MEMFREE(row_index); |
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} /* end parallel region */ |
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} |
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} |
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