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/* |
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************************************************************ |
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* Copyright 2006 by ACcESS MNRF * |
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* * |
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* http://www.access.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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|
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/* Some utility routines: */ |
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|
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/**************************************************************/ |
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|
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/* author: gross@access.edu.au */ |
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/* Version: $Id$ */ |
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|
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/**************************************************************/ |
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|
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#include "Finley.h" |
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#include "Util.h" |
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|
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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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/* returns true if any of the values in the short array values is not equalt to Zero */ |
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|
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bool_t Finley_Util_anyNonZeroDouble(dim_t N, double* values) { |
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dim_t q; |
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for (q=0;q<N;++q) if (ABS(values[q])>0) return TRUE; |
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return FALSE; |
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} |
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/**************************************************************/ |
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|
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/* gathers double values out from in by index: */ |
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|
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/* out(1:numData,1:len)=in(1:numData,index(1:len)) */ |
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|
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void Finley_Util_Gather_double(dim_t len,index_t* index,dim_t numData,double* in, double * out){ |
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dim_t s,i; |
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for (s=0;s<len;s++) { |
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for (i=0;i<numData;i++) { |
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out[INDEX2(i,s,numData)]=in[INDEX2(i,index[s],numData)]; |
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} |
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} |
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} |
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|
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/**************************************************************/ |
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|
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|
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/* gathers maybelong values out from in by index: */ |
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|
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/* out(1:numData,1:len)=in(1:numData,index(1:len)) */ |
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|
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void Finley_Util_Gather_int(dim_t len,index_t* index,dim_t numData, index_t* in, index_t * out){ |
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dim_t s,i; |
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for (s=0;s<len;s++) { |
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for (i=0;i<numData;i++) { |
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out[INDEX2(i,s,numData)]=in[INDEX2(i,index[s],numData)]; |
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} |
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} |
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} |
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|
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/**************************************************************/ |
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|
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/* adds a vector in into out using and index. */ |
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|
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/* out(1:numData,index(1:len))+=in(1:numData,1:len) */ |
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|
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void Finley_Util_AddScatter(dim_t len,index_t* index,dim_t numData,double* in,double * out){ |
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dim_t i,s; |
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for (s=0;s<len;s++) { |
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for(i=0;i<numData;i++) { |
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#pragma omp atomic |
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out[INDEX2(i,index[s],numData)]+=in[INDEX2(i,s,numData)]; |
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} |
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} |
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} |
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|
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/* multiplies two matrices */ |
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|
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/* A(1:A1,1:A2)=B(1:A1,1:B2)*C(1:B2,1:A2) */ |
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|
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void Finley_Util_SmallMatMult(dim_t A1,dim_t A2, double* A, dim_t B2, double*B, double* C) { |
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dim_t i,j,s; |
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for (i=0;i<A1*A2;i++) A[i]=0; |
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for (i=0;i<A1;i++) { |
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for (j=0;j<A2;j++) { |
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for (s=0;s<B2;s++) { |
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A[INDEX2(i,j,A1)]+=B[INDEX2(i,s,A1)]*C[INDEX2(s,j,B2)]; |
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} |
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} |
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} |
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} |
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|
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/* multiplies a two sets of matries: */ |
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|
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/* A(1:A1,1:A2,i)=B(1:A1,1:B2,i)*C(1:B2,1:A2,i) i=1,len */ |
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|
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void Finley_Util_SmallMatSetMult(dim_t len,dim_t A1,dim_t A2, double* A, dim_t B2, double*B, double* C) { |
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dim_t q,i,j,s; |
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for (i=0;i<A1*A2*len;i++) A[i]=0; |
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for (q=0;q<len;q++) { |
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for (i=0;i<A1;i++) { |
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for (j=0;j<A2;j++) { |
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for (s=0;s<B2;s++) { |
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A[INDEX3(i,j,q,A1,A2)]+=B[INDEX3(i,s,q,A1,B2)]*C[INDEX3(s,j,q,B2,A2)]; |
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} |
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} |
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} |
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} |
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} |
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/* inverts the set of dim x dim matrices A(:,:,1:len) with dim=1,2,3 */ |
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/* the determinante is returned. */ |
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|
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void Finley_Util_InvertSmallMat(dim_t len,dim_t dim,double* A,double *invA, double* det){ |
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dim_t q; |
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register double D,A11,A12,A13,A21,A22,A23,A31,A32,A33; |
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|
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switch(dim) { |
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case 1: |
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for (q=0;q<len;q++) { |
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D=A[q]; |
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if (ABS(D) > 0 ){ |
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det[q]=D; |
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D=1./D; |
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invA[q]=D; |
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} else { |
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Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: Non-regular matrix"); |
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return; |
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} |
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} |
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break; |
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|
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case 2: |
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for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,2,2)]; |
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A12=A[INDEX3(0,1,q,2,2)]; |
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A21=A[INDEX3(1,0,q,2,2)]; |
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A22=A[INDEX3(1,1,q,2,2)]; |
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|
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D = A11*A22-A12*A21; |
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if (ABS(D) > 0 ){ |
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det[q]=D; |
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D=1./D; |
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invA[INDEX3(0,0,q,2,2)]= A22*D; |
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invA[INDEX3(1,0,q,2,2)]=-A21*D; |
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invA[INDEX3(0,1,q,2,2)]=-A12*D; |
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invA[INDEX3(1,1,q,2,2)]= A11*D; |
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} else { |
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Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: Non-regular matrix"); |
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return; |
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} |
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} |
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break; |
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|
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case 3: |
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for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,3,3)]; |
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A21=A[INDEX3(1,0,q,3,3)]; |
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A31=A[INDEX3(2,0,q,3,3)]; |
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A12=A[INDEX3(0,1,q,3,3)]; |
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A22=A[INDEX3(1,1,q,3,3)]; |
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A32=A[INDEX3(2,1,q,3,3)]; |
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A13=A[INDEX3(0,2,q,3,3)]; |
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A23=A[INDEX3(1,2,q,3,3)]; |
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A33=A[INDEX3(2,2,q,3,3)]; |
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|
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D = A11*(A22*A33-A23*A32)+ A12*(A31*A23-A21*A33)+A13*(A21*A32-A31*A22); |
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if (ABS(D) > 0 ){ |
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det[q] =D; |
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D=1./D; |
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invA[INDEX3(0,0,q,3,3)]=(A22*A33-A23*A32)*D; |
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invA[INDEX3(1,0,q,3,3)]=(A31*A23-A21*A33)*D; |
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invA[INDEX3(2,0,q,3,3)]=(A21*A32-A31*A22)*D; |
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invA[INDEX3(0,1,q,3,3)]=(A13*A32-A12*A33)*D; |
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invA[INDEX3(1,1,q,3,3)]=(A11*A33-A31*A13)*D; |
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invA[INDEX3(2,1,q,3,3)]=(A12*A31-A11*A32)*D; |
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invA[INDEX3(0,2,q,3,3)]=(A12*A23-A13*A22)*D; |
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invA[INDEX3(1,2,q,3,3)]=(A13*A21-A11*A23)*D; |
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invA[INDEX3(2,2,q,3,3)]=(A11*A22-A12*A21)*D; |
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} else { |
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Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: Non-regular matrix"); |
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return; |
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} |
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} |
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break; |
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|
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} |
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return; |
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} |
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|
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/* sets the derterminate of a set of dim x dim matrices A(:,:,1:len) with dim=1,2,3 */ |
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|
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void Finley_Util_DetOfSmallMat(dim_t len,dim_t dim,double* A, double* det){ |
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dim_t q; |
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register double A11,A12,A13,A21,A22,A23,A31,A32,A33; |
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|
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switch(dim) { |
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case 1: |
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for (q=0;q<len;q++) { |
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det[q]=A[q]; |
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} |
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break; |
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|
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case 2: |
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for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,2,2)]; |
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A12=A[INDEX3(0,1,q,2,2)]; |
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A21=A[INDEX3(1,0,q,2,2)]; |
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A22=A[INDEX3(1,1,q,2,2)]; |
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|
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det[q] = A11*A22-A12*A21; |
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} |
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break; |
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|
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case 3: |
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for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,3,3)]; |
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A21=A[INDEX3(1,0,q,3,3)]; |
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A31=A[INDEX3(2,0,q,3,3)]; |
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A12=A[INDEX3(0,1,q,3,3)]; |
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A22=A[INDEX3(1,1,q,3,3)]; |
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A32=A[INDEX3(2,1,q,3,3)]; |
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A13=A[INDEX3(0,2,q,3,3)]; |
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A23=A[INDEX3(1,2,q,3,3)]; |
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A33=A[INDEX3(2,2,q,3,3)]; |
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|
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det[q] = A11*(A22*A33-A23*A32)+ A12*(A31*A23-A21*A33)+A13*(A21*A32-A31*A22); |
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} |
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break; |
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|
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} |
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return; |
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} |
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/* returns the normalized vector Normal[dim,len] orthogonal to A(:,0,q) and A(:,1,q) in the case of dim=3 */ |
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/* or the vector A(:,0,q) in the case of dim=2 */ |
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|
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void Finley_NormalVector(dim_t len, dim_t dim, dim_t dim1, double* A,double* Normal) { |
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dim_t q; |
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register double A11,A12,CO_A13,A21,A22,CO_A23,A31,A32,CO_A33,length,invlength; |
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|
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switch(dim) { |
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case 1: |
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for (q=0;q<len;q++) Normal[q] =1; |
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break; |
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case 2: |
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for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,2,dim1)]; |
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A21=A[INDEX3(1,0,q,2,dim1)]; |
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length = sqrt(A11*A11+A21*A21); |
| 259 |
if (! length>0) { |
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Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: area equals zero."); |
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return; |
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} else { |
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invlength=1./length; |
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Normal[INDEX2(0,q,2)]=A21*invlength; |
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Normal[INDEX2(1,q,2)]=-A11*invlength; |
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} |
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} |
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break; |
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case 3: |
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for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,3,dim1)]; |
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A21=A[INDEX3(1,0,q,3,dim1)]; |
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A31=A[INDEX3(2,0,q,3,dim1)]; |
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A12=A[INDEX3(0,1,q,3,dim1)]; |
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A22=A[INDEX3(1,1,q,3,dim1)]; |
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A32=A[INDEX3(2,1,q,3,dim1)]; |
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CO_A13=A21*A32-A31*A22; |
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CO_A23=A31*A12-A11*A32; |
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CO_A33=A11*A22-A21*A12; |
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length=sqrt(CO_A13*CO_A13+CO_A23*CO_A23+CO_A33*CO_A33); |
| 281 |
if (! length>0) { |
| 282 |
Finley_setError(ZERO_DIVISION_ERROR,"__FILE__: area equals zero."); |
| 283 |
return; |
| 284 |
} else { |
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invlength=1./length; |
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Normal[INDEX2(0,q,3)]=CO_A13*invlength; |
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Normal[INDEX2(1,q,3)]=CO_A23*invlength; |
| 288 |
Normal[INDEX2(2,q,3)]=CO_A33*invlength; |
| 289 |
} |
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|
| 291 |
} |
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break; |
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|
| 294 |
} |
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return; |
| 296 |
} |
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|
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/* return the length of the vector which is orthogonal to the vectors A(:,0,q) and A(:,1,q) in the case of dim=3 */ |
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/* or the vector A(:,0,q) in the case of dim=2 */ |
| 300 |
|
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void Finley_LengthOfNormalVector(dim_t len, dim_t dim, dim_t dim1, double* A,double* length) { |
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dim_t q; |
| 303 |
double A11,A12,CO_A13,A21,A22,CO_A23,A31,A32,CO_A33; |
| 304 |
|
| 305 |
switch(dim) { |
| 306 |
case 1: |
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for (q=0;q<len;q++) length[q] =1; |
| 308 |
break; |
| 309 |
case 2: |
| 310 |
for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,2,dim1)]; |
| 312 |
A21=A[INDEX3(1,0,q,2,dim1)]; |
| 313 |
length[q] = sqrt(A11*A11+A21*A21); |
| 314 |
} |
| 315 |
break; |
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case 3: |
| 317 |
for (q=0;q<len;q++) { |
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A11=A[INDEX3(0,0,q,3,dim1)]; |
| 319 |
A21=A[INDEX3(1,0,q,3,dim1)]; |
| 320 |
A31=A[INDEX3(2,0,q,3,dim1)]; |
| 321 |
A12=A[INDEX3(0,1,q,3,dim1)]; |
| 322 |
A22=A[INDEX3(1,1,q,3,dim1)]; |
| 323 |
A32=A[INDEX3(2,1,q,3,dim1)]; |
| 324 |
CO_A13=A21*A32-A31*A22; |
| 325 |
CO_A23=A31*A12-A11*A32; |
| 326 |
CO_A33=A11*A22-A21*A12; |
| 327 |
length[q]=sqrt(CO_A13*CO_A13+CO_A23*CO_A23+CO_A33*CO_A33); |
| 328 |
} |
| 329 |
break; |
| 330 |
|
| 331 |
} |
| 332 |
return; |
| 333 |
} |
| 334 |
|
| 335 |
/* inverts the map map of length len */ |
| 336 |
/* there is no range checking! */ |
| 337 |
/* at output Map[invMap[i]]=i for i=0:lenInvMap */ |
| 338 |
|
| 339 |
void Finley_Util_InvertMap(dim_t lenInvMap, index_t* invMap,dim_t lenMap, index_t* Map) { |
| 340 |
dim_t i; |
| 341 |
for (i=0;i<lenInvMap;i++) invMap[i]=0; |
| 342 |
for (i=0;i<lenMap;i++) { |
| 343 |
if (Map[i]>=0) invMap[Map[i]]=i; |
| 344 |
} |
| 345 |
} |
| 346 |
|
| 347 |
/* orders a Finley_Util_ValueAndIndex array by value */ |
| 348 |
/* it is assumed that n is large */ |
| 349 |
|
| 350 |
int Finley_Util_ValueAndIndex_compar(const void *arg1 , const void *arg2 ) { |
| 351 |
Finley_Util_ValueAndIndex *e1,*e2; |
| 352 |
e1=(Finley_Util_ValueAndIndex*) arg1; |
| 353 |
e2=(Finley_Util_ValueAndIndex*) arg2; |
| 354 |
if (e1->value < e2->value) return -1; |
| 355 |
if (e1->value > e2->value) return 1; |
| 356 |
return 0; |
| 357 |
} |
| 358 |
|
| 359 |
void Finley_Util_sortValueAndIndex(dim_t n,Finley_Util_ValueAndIndex* array) { |
| 360 |
/* OMP : needs parallelization !*/ |
| 361 |
qsort(array,n,sizeof(Finley_Util_ValueAndIndex),Finley_Util_ValueAndIndex_compar); |
| 362 |
} |
| 363 |
|
| 364 |
|
| 365 |
/**************************************************************/ |
| 366 |
|
| 367 |
/* calculates the minimum value from a dim X N integer array */ |
| 368 |
|
| 369 |
index_t Finley_Util_getMinInt(dim_t dim,dim_t N,index_t* values) { |
| 370 |
dim_t i,j; |
| 371 |
index_t out,out_local; |
| 372 |
out=INDEX_T_MAX; |
| 373 |
if (values!=NULL && dim*N>0 ) { |
| 374 |
out=values[0]; |
| 375 |
#pragma omp parallel private(out_local) |
| 376 |
{ |
| 377 |
out_local=out; |
| 378 |
#pragma omp for private(i,j) schedule(static) |
| 379 |
for (j=0;j<N;j++) { |
| 380 |
for (i=0;i<dim;i++) out_local=MIN(out_local,values[INDEX2(i,j,dim)]); |
| 381 |
} |
| 382 |
#pragma omp critical |
| 383 |
out=MIN(out_local,out); |
| 384 |
} |
| 385 |
} |
| 386 |
return out; |
| 387 |
} |
| 388 |
|
| 389 |
/* calculates the maximum value from a dim X N integer array */ |
| 390 |
|
| 391 |
index_t Finley_Util_getMaxInt(dim_t dim,dim_t N,index_t* values) { |
| 392 |
dim_t i,j; |
| 393 |
index_t out,out_local; |
| 394 |
out=-INDEX_T_MAX; |
| 395 |
if (values!=NULL && dim*N>0 ) { |
| 396 |
out=values[0]; |
| 397 |
#pragma omp parallel private(out_local) |
| 398 |
{ |
| 399 |
out_local=out; |
| 400 |
#pragma omp for private(i,j) schedule(static) |
| 401 |
for (j=0;j<N;j++) { |
| 402 |
for (i=0;i<dim;i++) out_local=MAX(out_local,values[INDEX2(i,j,dim)]); |
| 403 |
} |
| 404 |
#pragma omp critical |
| 405 |
out=MAX(out_local,out); |
| 406 |
} |
| 407 |
} |
| 408 |
return out; |
| 409 |
} |
| 410 |
|
| 411 |
/* set the index of the positive entries in mask. The length of index is returned. */ |
| 412 |
|
| 413 |
dim_t Finley_Util_packMask(dim_t N,index_t* mask,index_t* index) { |
| 414 |
dim_t out,k; |
| 415 |
out=0; |
| 416 |
/*OMP */ |
| 417 |
for (k=0;k<N;k++) { |
| 418 |
if (mask[k]>=0) { |
| 419 |
index[out]=k; |
| 420 |
out++; |
| 421 |
} |
| 422 |
} |
| 423 |
return out; |
| 424 |
} |
| 425 |
|
| 426 |
/* returns true if array contains value */ |
| 427 |
bool_t Finley_Util_isAny(dim_t N,index_t* array,index_t value) { |
| 428 |
bool_t out=FALSE; |
| 429 |
dim_t i; |
| 430 |
#pragma omp parallel for private(i) schedule(static) reduction(||:out) |
| 431 |
for (i=0;i<N;i++) out = out || (array[i]==value); |
| 432 |
return out; |
| 433 |
} |
| 434 |
/* calculates the cummultative sum in array and returns the total sum */ |
| 435 |
index_t Finley_Util_cumsum(dim_t N,index_t* array) { |
| 436 |
index_t out=0,tmp; |
| 437 |
dim_t i; |
| 438 |
#ifdef _OPENMP |
| 439 |
index_t partial_sums[omp_get_max_threads()],sum; |
| 440 |
#pragma omp parallel private(sum,i,tmp) |
| 441 |
{ |
| 442 |
sum=0; |
| 443 |
#pragma omp for schedule(static) |
| 444 |
for (i=0;i<N;++i) sum+=array[i]; |
| 445 |
partial_sums[omp_get_thread_num()]=sum; |
| 446 |
#pragma omp barrier |
| 447 |
#pragma omp master |
| 448 |
{ |
| 449 |
out=0; |
| 450 |
for (i=0;i<omp_get_max_threads();++i) { |
| 451 |
tmp=out; |
| 452 |
out+=partial_sums[i]; |
| 453 |
partial_sums[i]=tmp; |
| 454 |
} |
| 455 |
} |
| 456 |
#pragma omp barrier |
| 457 |
sum=partial_sums[omp_get_thread_num()]; |
| 458 |
#pragma omp for schedule(static) |
| 459 |
for (i=0;i<N;++i) { |
| 460 |
tmp=sum; |
| 461 |
sum+=array[i]; |
| 462 |
array[i]=tmp; |
| 463 |
} |
| 464 |
} |
| 465 |
#else |
| 466 |
for (i=0;i<N;++i) { |
| 467 |
tmp=out; |
| 468 |
out+=array[i]; |
| 469 |
array[i]=tmp; |
| 470 |
} |
| 471 |
#endif |
| 472 |
return out; |
| 473 |
} |
| 474 |
|
| 475 |
void Finley_copyDouble(dim_t n,double* source, double* target) { |
| 476 |
dim_t i; |
| 477 |
for (i=0;i<n;i++) target[i]=source[i]; |
| 478 |
} |
| 479 |
|
| 480 |
/* |
| 481 |
* Revision 1.8 2005/08/12 01:45:43 jgs |
| 482 |
* erge of development branch dev-02 back to main trunk on 2005-08-12 |
| 483 |
* |
| 484 |
* Revision 1.7.2.2 2005/09/07 06:26:22 gross |
| 485 |
* the solver from finley are put into the standalone package paso now |
| 486 |
* |
| 487 |
* Revision 1.7.2.1 2005/08/04 22:41:11 gross |
| 488 |
* some extra routines for finley that might speed-up RHS assembling in some cases (not actived right now) |
| 489 |
* |
| 490 |
* Revision 1.7 2005/07/08 04:07:59 jgs |
| 491 |
* Merge of development branch back to main trunk on 2005-07-08 |
| 492 |
* |
| 493 |
* Revision 1.1.1.1.2.4 2005/06/29 02:34:57 gross |
| 494 |
* some changes towards 64 integers in finley |
| 495 |
* |
| 496 |
* Revision 1.1.1.1.2.3 2005/03/02 23:35:06 gross |
| 497 |
* reimplementation of the ILU in Finley. block size>1 still needs some testing |
| 498 |
* |
| 499 |
* Revision 1.1.1.1.2.2 2005/02/18 02:27:31 gross |
| 500 |
* two function that will be used for a reimplementation of the ILU preconditioner |
| 501 |
* |
| 502 |
* Revision 1.1.1.1.2.1 2004/11/12 06:58:19 gross |
| 503 |
* a lot of changes to get the linearPDE class running: most important change is that there is no matrix format exposed to the user anymore. the format is chosen by the Domain according to the solver and symmetry |
| 504 |
* |
| 505 |
* Revision 1.1.1.1 2004/10/26 06:53:57 jgs |
| 506 |
* initial import of project esys2 |
| 507 |
* |
| 508 |
* Revision 1.3 2004/08/26 12:03:52 gross |
| 509 |
* Some other bug in Finley_Assemble_gradient fixed. |
| 510 |
* |
| 511 |
* Revision 1.2 2004/07/02 04:21:13 gross |
| 512 |
* Finley C code has been included |
| 513 |
* |
| 514 |
* Revision 1.1.1.1 2004/06/24 04:00:40 johng |
| 515 |
* Initial version of eys using boost-python. |
| 516 |
* |
| 517 |
* |
| 518 |
*/ |
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