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/******************************************************* |
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* |
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* Copyright (c) 2003-2008 by University of Queensland |
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* Earth Systems Science Computational Center (ESSCC) |
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* http://www.uq.edu.au/esscc |
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* |
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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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/* Paso: Pattern: Paso_Pattern_coupling |
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searches for a maximal independent set MIS in the matrix pattern |
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vertices in the maximal independent set are marked in mis_marker |
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nodes to be considered are marked by -1 on the input in mis_marker |
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*/ |
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/**********************************************************************/ |
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/* Copyrights by ACcESS Australia 2003,2004,2005 */ |
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/* Author: artak@uq.edu.au */ |
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/**************************************************************/ |
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#include "mpi_C.h" |
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#include "Paso.h" |
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#include "PasoUtil.h" |
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#include "Pattern.h" |
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#include "Solver.h" |
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/***************************************************************/ |
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#define IS_AVAILABLE -1 |
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#define IS_IN_MIS_NOW -2 |
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#define IS_IN_MIS -3 |
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#define IS_CONNECTED_TO_MIS -4 |
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void Paso_Pattern_coup(Paso_SparseMatrix* A, index_t* mis_marker) { |
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index_t index_offset=(A->pattern->type & PATTERN_FORMAT_OFFSET1 ? 1:0); |
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dim_t i,j; |
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double threshold=0.05; |
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index_t naib,iptr; |
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bool_t flag; |
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dim_t n=A->pattern->numOutput; |
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if (A->pattern->type & PATTERN_FORMAT_SYM) { |
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Paso_setError(TYPE_ERROR,"Paso_Pattern_mis: symmetric matrix pattern is not supported yet"); |
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return; |
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} |
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/* is there any vertex available ?*/ |
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while (Paso_Util_isAny(n,mis_marker,IS_AVAILABLE)) { |
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#pragma omp parallel for private(naib,i,iptr,flag) schedule(static) |
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for (i=0;i<n;++i) { |
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if (mis_marker[i]==IS_AVAILABLE) { |
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flag=IS_AVAILABLE; |
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for (iptr=A->pattern->ptr[i]-index_offset;iptr<A->pattern->ptr[i+1]-index_offset; ++iptr) { |
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naib=A->pattern->index[iptr]-index_offset; |
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if (naib!=i && A->val[iptr]>=threshold*A->val[i]) { |
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flag=IS_IN_MIS; |
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break; |
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} |
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} |
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mis_marker[i]=flag; |
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} |
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} |
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#pragma omp parallel for private(naib,i,iptr) schedule(static) |
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for (i=0;i<n;i++) { |
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if (mis_marker[i]==IS_AVAILABLE) { |
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for (iptr=A->pattern->ptr[i]-index_offset;iptr<A->pattern->ptr[i+1]-index_offset; ++iptr) { |
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naib=A->pattern->index[iptr]-index_offset; |
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if (naib!=i && mis_marker[naib]==IS_IN_MIS && A->val[iptr]/A->val[i]>=-threshold){ |
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mis_marker[i]=IS_IN_MIS; |
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} |
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else { |
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mis_marker[i]=IS_CONNECTED_TO_MIS; |
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} |
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} |
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} |
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} |
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} |
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/* swap to TRUE/FALSE in mis_marker */ |
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#pragma omp parallel for private(i) schedule(static) |
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for (i=0;i<n;i++) mis_marker[i]=(mis_marker[i]==IS_IN_MIS); |
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} |
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/* |
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* |
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* Return a strength of connection mask using the classical |
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* strength of connection measure by Ruge and Stuben. |
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* |
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* Specifically, an off-diagonal entry A[i.j] is a strong |
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* connection if: |
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* |
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* -A[i,j] >= theta * max( -A[i,k] ) where k != i |
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* |
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* Otherwise, the connection is weak. |
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* |
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*/ |
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void Paso_Pattern_RS(Paso_SparseMatrix* A, index_t* mis_marker, double theta) |
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{ |
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index_t index_offset=(A->pattern->type & PATTERN_FORMAT_OFFSET1 ? 1:0); |
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dim_t i,j; |
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index_t naib,iptr; |
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double threshold,min_offdiagonal; |
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bool_t flag; |
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dim_t n=A->pattern->numOutput; |
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if (A->pattern->type & PATTERN_FORMAT_SYM) { |
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Paso_setError(TYPE_ERROR,"Paso_Pattern_mis: symmetric matrix pattern is not supported yet"); |
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return; |
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} |
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/* is there any vertex available ?*/ |
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while (Paso_Util_isAny(n,mis_marker,IS_AVAILABLE)) { |
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#pragma omp parallel for private(i,iptr,min_offdiagonal,threshold) schedule(static) |
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for (i=0;i<n;++i) { |
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min_offdiagonal = A->val[A->pattern->ptr[i]]; |
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for (iptr=A->pattern->ptr[i]-index_offset;iptr<A->pattern->ptr[i+1]-index_offset; ++iptr) { |
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if(A->pattern->index[iptr] != i){ |
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min_offdiagonal = MIN(min_offdiagonal,A->val[iptr]); |
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} |
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} |
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threshold = theta*min_offdiagonal; |
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#pragma omp parallel for private(iptr) schedule(static) |
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for (iptr=A->pattern->ptr[i]-index_offset;iptr<A->pattern->ptr[i+1]-index_offset; ++iptr) { |
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mis_marker[i]=IS_CONNECTED_TO_MIS; |
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if(A->val[iptr] <= threshold){ |
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if(A->pattern->index[iptr] != i){ |
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mis_marker[i]=IS_IN_MIS; |
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} |
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} |
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} |
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} |
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} |
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/* swap to TRUE/FALSE in mis_marker */ |
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#pragma omp parallel for private(i) schedule(static) |
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for (i=0;i<n;i++) mis_marker[i]=(mis_marker[i]==IS_IN_MIS); |
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} |
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#undef IS_AVAILABLE |
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#undef IS_IN_MIS_NOW |
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#undef IS_IN_MIS |
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#undef IS_CONNECTED_TO_MIS |
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