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diis.h
42
diis.h
@ -35,17 +35,17 @@ public:
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DIIS(const int n, const bool core=1);
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void setup(const int n, const bool core=1);
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~DIIS();
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typename LA_traits<U>::normtype extrapolate(T &vec, const U &errvec); //vec is input/output; returns square residual norm
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typename LA_traits<U>::normtype extrapolate(T &vec, const U &errvec, bool verbose=false); //vec is input/output; returns square residual norm
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};
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template<typename T, typename U>
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DIIS<T,U>::DIIS(const int n, const bool core) : dim(n), incore(core), bmat(n,n)
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DIIS<T,U>::DIIS(const int n, const bool core) : dim(n), incore(core), bmat(n+1,n+1)
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{
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st=incore?NULL: new AuxStorage<Te>;
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errst=incore?NULL: new AuxStorage<Ue>;
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stor= incore? new T[dim] : NULL;
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errstor= incore? new U[dim] : NULL;
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bmat= (Ue)0; for(int i=1; i<n; ++i) bmat(0,i) = (Ue)-1;
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bmat= (Ue)0; for(int i=1; i<=n; ++i) bmat(0,i) = (Ue)-1;
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aktdim=cyclicshift=0;
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}
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@ -54,12 +54,12 @@ void DIIS<T,U>::setup(const int n, const bool core)
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{
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dim=n;
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incore=core;
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bmat.resize(n);
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bmat.resize(n+1);
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st=incore?NULL: new AuxStorage<Te>;
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errst=incore?NULL: new AuxStorage<Ue>;
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stor= incore? new T[dim] : NULL;
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errstor= incore? new U[dim] : NULL;
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bmat= (Ue)0; for(int i=1; i<n; ++i) bmat(0,i) = (Ue)-1;
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bmat= (Ue)0; for(int i=1; i<=n; ++i) bmat(0,i) = (Ue)-1;
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aktdim=cyclicshift=0;
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}
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@ -76,14 +76,14 @@ if(errstor) delete[] errstor;
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template<typename T, typename U>
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typename LA_traits<U>::normtype DIIS<T,U>::extrapolate(T &vec, const U &errvec)
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typename LA_traits<U>::normtype DIIS<T,U>::extrapolate(T &vec, const U &errvec, bool verbose)
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{
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if(!dim) laerror("attempt to extrapolate from uninitialized DIIS");
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//if dim exceeded, shift
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if(aktdim==dim)
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{
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cyclicshift=(cyclicshift+1)%dim;
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for(int i=1; i<dim-1; ++i)
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for(int i=1; i<dim; ++i)
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for(int j=1; j<=i; ++j)
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bmat(i,j)=bmat(i+1,j+1);
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}
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@ -93,8 +93,8 @@ else
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//store vector
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if(incore)
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{
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stor[(aktdim-1+cyclicshift)%dim]=vec;
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errstor[(aktdim-1+cyclicshift)%dim]=errvec;
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stor[(aktdim-1+cyclicshift)%dim]|=vec;
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errstor[(aktdim-1+cyclicshift)%dim]|=errvec;
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}
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else
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{
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@ -107,23 +107,23 @@ if(aktdim==1) return (typename LA_traits<T>::normtype)1000000000;
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//calculate overlaps of the new error with old ones
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typename LA_traits<T>::normtype norm=errvec.norm();
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bmat(aktdim-1,aktdim-1)= norm*norm + DIISEPS;
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bmat(aktdim,aktdim)= norm*norm + DIISEPS;
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if(incore)
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for(int i=1; i<aktdim-1; ++i)
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bmat(i,aktdim-1)=errvec.dot(errstor[(i+cyclicshift)%dim]);
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for(int i=1; i<aktdim; ++i)
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bmat(i,aktdim)=errvec.dot(errstor[(i+cyclicshift-1)%dim]);
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else
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{
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U tmp = errvec; tmp.copyonwrite(); //copy dimensions
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for(int i=1; i<aktdim-1; ++i)
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for(int i=1; i<aktdim; ++i)
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{
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errst->get(tmp,(i+cyclicshift)%dim);
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bmat(i,aktdim-1)= errvec.dot(tmp);
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errst->get(tmp,(i-1+cyclicshift)%dim);
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bmat(i,aktdim)= errvec.dot(tmp);
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}
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}
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//prepare rhs-solution vector
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NRVec<Ue> rhs(dim);
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NRVec<Ue> rhs(dim+1);
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rhs= (Ue)0; rhs[0]= (Ue)-1;
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//solve for coefficients
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@ -131,19 +131,21 @@ rhs= (Ue)0; rhs[0]= (Ue)-1;
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//@@@ explicit solution - cf. remarks in Pulay memorial book
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{
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NRSMat<Te> amat=bmat;
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linear_solve(amat,rhs,NULL,aktdim);
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linear_solve(amat,rhs,NULL,aktdim+1);
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}
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if(verbose) cout <<"DIIS coefficients: "<<rhs<<endl;
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//build the new linear combination
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vec.clear();
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if(incore)
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for(int i=1; i<aktdim; ++i) vec.axpy(rhs[i],stor[(i+cyclicshift)%dim]);
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for(int i=1; i<=aktdim; ++i)
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vec.axpy(rhs[i],stor[(i-1+cyclicshift)%dim]);
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else
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{
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T tmp=vec; //copy dimensions
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for(int i=1; i<aktdim; ++i)
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for(int i=1; i<=aktdim; ++i)
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{
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st->get(tmp,(i+cyclicshift)%dim);
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st->get(tmp,(i-1+cyclicshift)%dim);
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vec.axpy(rhs[i],tmp);
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}
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}
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