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/* $Id$ */ |
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|
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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 system of numEq PDEs into the stiffness matrix S right hand side F */ |
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/* the shape functions for test and solution must be identical */ |
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|
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|
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/* -(A_{i,j} u_,j)_i-(B_{i} u)_i+C_{j} u_,j-D u_m and -(X_,i)_i + Y */ |
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|
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/* in a 3D domain. The shape functions for test and solution must be identical */ |
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/* and row_NS == row_NN */ |
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|
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/* Shape of the coefficients: */ |
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|
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/* A = 3 x 3 */ |
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/* B = 3 */ |
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/* C = 3 */ |
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/* D = scalar */ |
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/* X = 3 */ |
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/* Y = scalar */ |
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|
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|
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/**************************************************************/ |
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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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|
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/**************************************************************/ |
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|
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void Finley_Assemble_PDE_Single2_3D(Assemble_Parameters p, Finley_ElementFile* elements, |
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Paso_SystemMatrix* Mat, escriptDataC* F, |
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escriptDataC* A, escriptDataC* B, escriptDataC* C, escriptDataC* D, escriptDataC* X, escriptDataC* Y) { |
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|
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#define DIM 3 |
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index_t color; |
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dim_t e; |
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double *EM_S, *EM_F, *Vol, *DSDX, *A_p, *B_p, *C_p, *D_p, *X_p, *Y_p; |
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index_t *row_index; |
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register dim_t q, s,r; |
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register double rtmp, rtmp00, rtmp01, rtmp02, rtmp10, rtmp11, rtmp12, rtmp20, rtmp21, rtmp22, rtmp0, rtmp1, rtmp2; |
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bool_t add_EM_F, add_EM_S; |
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|
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bool_t extendedA=isExpanded(A); |
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bool_t extendedB=isExpanded(B); |
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bool_t extendedC=isExpanded(C); |
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bool_t extendedD=isExpanded(D); |
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bool_t extendedX=isExpanded(X); |
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bool_t extendedY=isExpanded(Y); |
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double *F_p=getSampleData(F,0); |
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double *S=p.row_jac->ReferenceElement->S; |
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dim_t len_EM_S=p.row_NN*p.col_NN; |
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dim_t len_EM_F=p.row_NN; |
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#pragma omp parallel private(color,EM_S, EM_F, Vol, DSDX, A_p, B_p, C_p, D_p, X_p, Y_p,row_index,q, s,r,rtmp, rtmp00, rtmp01, rtmp02, rtmp10, rtmp11, rtmp12, rtmp20, rtmp21, rtmp22, rtmp0, rtmp1, rtmp2,add_EM_F, add_EM_S) |
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{ |
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EM_S=THREAD_MEMALLOC(len_EM_S,double); |
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EM_F=THREAD_MEMALLOC(len_EM_F,double); |
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row_index=THREAD_MEMALLOC(p.row_NN,index_t); |
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|
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if (!Finley_checkPtr(EM_S) && !Finley_checkPtr(EM_F) && !Finley_checkPtr(row_index) ) { |
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|
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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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DSDX=&(p.row_jac->DSDX[INDEX4(0,0,0,e,p.row_NN,DIM,p.numQuad)]); |
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for (q=0;q<len_EM_S;++q) EM_S[q]=0; |
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for (q=0;q<len_EM_F;++q) EM_F[q]=0; |
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add_EM_F=FALSE; |
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add_EM_S=FALSE; |
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/**************************************************************/ |
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/* process A: */ |
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/**************************************************************/ |
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A_p=getSampleData(A,e); |
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if (NULL!=A_p) { |
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add_EM_S=TRUE; |
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if (extendedA) { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*( DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*A_p[INDEX3(0,0,q,DIM,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*A_p[INDEX3(0,1,q,DIM,DIM)]*DSDX[INDEX3(r,1,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*A_p[INDEX3(0,2,q,DIM,DIM)]*DSDX[INDEX3(r,2,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,1,q,p.row_NN,DIM)]*A_p[INDEX3(1,0,q,DIM,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,1,q,p.row_NN,DIM)]*A_p[INDEX3(1,1,q,DIM,DIM)]*DSDX[INDEX3(r,1,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,1,q,p.row_NN,DIM)]*A_p[INDEX3(1,2,q,DIM,DIM)]*DSDX[INDEX3(r,2,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,2,q,p.row_NN,DIM)]*A_p[INDEX3(2,0,q,DIM,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,2,q,p.row_NN,DIM)]*A_p[INDEX3(2,1,q,DIM,DIM)]*DSDX[INDEX3(r,1,q,p.row_NN,DIM)] |
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+ DSDX[INDEX3(s,2,q,p.row_NN,DIM)]*A_p[INDEX3(2,2,q,DIM,DIM)]*DSDX[INDEX3(r,2,q,p.row_NN,DIM)]); |
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} |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp; |
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} |
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} |
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} else { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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rtmp00=0; |
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rtmp01=0; |
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rtmp02=0; |
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rtmp10=0; |
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rtmp11=0; |
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rtmp12=0; |
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rtmp20=0; |
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rtmp21=0; |
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rtmp22=0; |
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for (q=0;q<p.numQuad;q++) { |
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|
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rtmp0=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]; |
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rtmp00+=rtmp0*DSDX[INDEX3(r,0,q,p.row_NN,DIM)]; |
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rtmp01+=rtmp0*DSDX[INDEX3(r,1,q,p.row_NN,DIM)]; |
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rtmp02+=rtmp0*DSDX[INDEX3(r,2,q,p.row_NN,DIM)]; |
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|
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rtmp1=Vol[q]*DSDX[INDEX3(s,1,q,p.row_NN,DIM)]; |
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rtmp10+=rtmp1*DSDX[INDEX3(r,0,q,p.row_NN,DIM)]; |
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rtmp11+=rtmp1*DSDX[INDEX3(r,1,q,p.row_NN,DIM)]; |
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rtmp12+=rtmp1*DSDX[INDEX3(r,2,q,p.row_NN,DIM)]; |
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|
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rtmp2=Vol[q]*DSDX[INDEX3(s,2,q,p.row_NN,DIM)]; |
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rtmp20+=rtmp2*DSDX[INDEX3(r,0,q,p.row_NN,DIM)]; |
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rtmp21+=rtmp2*DSDX[INDEX3(r,1,q,p.row_NN,DIM)]; |
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rtmp22+=rtmp2*DSDX[INDEX3(r,2,q,p.row_NN,DIM)]; |
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} |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp00*A_p[INDEX2(0,0,DIM)] |
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+rtmp01*A_p[INDEX2(0,1,DIM)] |
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+rtmp02*A_p[INDEX2(0,2,DIM)] |
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+rtmp10*A_p[INDEX2(1,0,DIM)] |
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+rtmp11*A_p[INDEX2(1,1,DIM)] |
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+rtmp12*A_p[INDEX2(1,2,DIM)] |
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+rtmp20*A_p[INDEX2(2,0,DIM)] |
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+rtmp21*A_p[INDEX2(2,1,DIM)] |
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+rtmp22*A_p[INDEX2(2,2,DIM)]; |
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} |
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} |
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} |
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} |
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/**************************************************************/ |
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/* process B: */ |
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/**************************************************************/ |
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B_p=getSampleData(B,e); |
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if (NULL!=B_p) { |
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add_EM_S=TRUE; |
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if (extendedB) { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*S[INDEX2(r,q,p.row_NS)]* |
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( DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*B_p[INDEX2(0,q,DIM)] |
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+ DSDX[INDEX3(s,1,q,p.row_NN,DIM)]*B_p[INDEX2(1,q,DIM)] |
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+ DSDX[INDEX3(s,2,q,p.row_NN,DIM)]*B_p[INDEX2(2,q,DIM)]); |
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} |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp; |
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} |
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} |
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} else { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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rtmp0=0; |
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rtmp1=0; |
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rtmp2=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp=Vol[q]*S[INDEX2(r,q,p.row_NS)]; |
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rtmp0+=rtmp*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]; |
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rtmp1+=rtmp*DSDX[INDEX3(s,1,q,p.row_NN,DIM)]; |
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rtmp2+=rtmp*DSDX[INDEX3(s,2,q,p.row_NN,DIM)]; |
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} |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp0*B_p[0]+rtmp1*B_p[1]+rtmp2*B_p[2]; |
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} |
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} |
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} |
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} |
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/**************************************************************/ |
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/* process C: */ |
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/**************************************************************/ |
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C_p=getSampleData(C,e); |
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if (NULL!=C_p) { |
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add_EM_S=TRUE; |
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if (extendedC) { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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rtmp=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]* |
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( C_p[INDEX2(0,q,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)] |
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+ C_p[INDEX2(1,q,DIM)]*DSDX[INDEX3(r,1,q,p.row_NN,DIM)] |
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+ C_p[INDEX2(2,q,DIM)]*DSDX[INDEX3(r,2,q,p.row_NN,DIM)]); |
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} |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp; |
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} |
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} |
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} else { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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rtmp0=0; |
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rtmp1=0; |
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rtmp2=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp=Vol[q]*S[INDEX2(s,q,p.row_NS)]; |
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rtmp0+=rtmp*DSDX[INDEX3(r,0,q,p.row_NN,DIM)]; |
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rtmp1+=rtmp*DSDX[INDEX3(r,1,q,p.row_NN,DIM)]; |
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rtmp2+=rtmp*DSDX[INDEX3(r,2,q,p.row_NN,DIM)]; |
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} |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp0*C_p[0]+rtmp1*C_p[1]+rtmp2*C_p[2]; |
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} |
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} |
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} |
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} |
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/************************************************************* */ |
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/* process D */ |
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/**************************************************************/ |
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D_p=getSampleData(D,e); |
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if (NULL!=D_p) { |
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add_EM_S=TRUE; |
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if (extendedD) { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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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]*S[INDEX2(r,q,p.row_NS)]; |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp; |
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} |
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} |
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} else { |
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for (s=0;s<p.row_NS;s++) { |
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for (r=0;r<p.col_NS;r++) { |
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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)]*S[INDEX2(r,q,p.row_NS)]; |
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EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp*D_p[0]; |
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} |
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} |
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} |
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} |
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/**************************************************************/ |
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/* process X: */ |
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/**************************************************************/ |
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X_p=getSampleData(X,e); |
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if (NULL!=X_p) { |
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add_EM_F=TRUE; |
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if (extendedX) { |
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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]*( DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*X_p[INDEX2(0,q,DIM)] |
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+ DSDX[INDEX3(s,1,q,p.row_NN,DIM)]*X_p[INDEX2(1,q,DIM)] |
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+ DSDX[INDEX3(s,2,q,p.row_NN,DIM)]*X_p[INDEX2(2,q,DIM)]); |
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} |
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EM_F[INDEX2(0,s,p.numEqu)]+=rtmp; |
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} |
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} else { |
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for (s=0;s<p.row_NS;s++) { |
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rtmp0=0; |
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rtmp1=0; |
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rtmp2=0; |
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for (q=0;q<p.numQuad;q++) { |
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rtmp0+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]; |
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rtmp1+=Vol[q]*DSDX[INDEX3(s,1,q,p.row_NN,DIM)]; |
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rtmp2+=Vol[q]*DSDX[INDEX3(s,2,q,p.row_NN,DIM)]; |
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} |
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EM_F[INDEX2(0,s,p.numEqu)]+=rtmp0*X_p[0]+rtmp1*X_p[1]+rtmp2*X_p[2]; |
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} |
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} |
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} |
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/**************************************************************/ |
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/* process Y: */ |
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/**************************************************************/ |
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Y_p=getSampleData(Y,e); |
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if (NULL!=Y_p) { |
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add_EM_F=TRUE; |
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if (extendedY) { |
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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)]*Y_p[q]; |
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EM_F[INDEX2(0,s,p.numEqu)]+=rtmp; |
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} |
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} else { |
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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_F[INDEX2(0,s,p.numEqu)]+=rtmp*Y_p[0]; |
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} |
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} |
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} |
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/***********************************************************************************************/ |
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/* add the element matrices onto the matrix and right hand side */ |
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/***********************************************************************************************/ |
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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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if (add_EM_F) Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_F,F_p, p.row_DOF_UpperBound); |
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if (add_EM_S) Finley_Assemble_addToSystemMatrix(Mat,p.row_NN,row_index,p.numEqu,p.col_NN,row_index,p.numComp,EM_S); |
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|
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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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THREAD_MEMFREE(EM_S); |
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THREAD_MEMFREE(EM_F); |
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THREAD_MEMFREE(row_index); |
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|
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} /* end of pointer check */ |
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} /* end parallel region */ |
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} |
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/* |
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* $Log$ |
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*/ |
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