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@ -28,6 +28,7 @@
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template <typename T>
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void SparseSMat<T>::gemm(const T beta, const SparseSMat &a, const char transa, const SparseSMat &b, const char transb, const T alpha)
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{
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std::cerr << "enter gemm\n";
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(*this) *= beta;
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if(alpha==(T)0) return;
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if(a.nn!=b.nn || a.nn!=nn) laerror("incompatible sizes in SparseSMat::gemm");
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@ -63,7 +64,11 @@ for(SPMatindex k=0; k<nn; ++k) //summation loop
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add(ai[i],bi[j],prod(i,j),false);
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}
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simplify(); //erase elements below threshold
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std::cerr << "before simplify in gemm\n";
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std::cerr << " nterms = "<<
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simplify()
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<<std::endl; //erase elements below threshold
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std::cerr << "regular exit gemm\n";
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}
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@ -97,6 +102,7 @@ for(SPMatindex i=0; i<nn; ++i) if(x.v[i])
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typename std::map<SPMatindex,T>::iterator p;
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for(p=x.v[i]->begin(); p!=x.v[i]->end(); ++p) (*v[i])[p->first] = p->second * alpha;
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}
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simplify();
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}
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@ -115,11 +121,83 @@ for(SPMatindex i=0; i<nn; ++i) if(v[i])
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}
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template <class T>
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SparseSMat<T> & SparseSMat<T>::operator=(const T &a)
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{
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clear();
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for(SPMatindex i=0; i<nn; ++i)
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{
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if(!v[i]) v[i] = new std::map<SPMatindex,T>;
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(*v[i])[i] = a;
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}
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return *this;
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}
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template <class T>
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SparseSMat<T> & SparseSMat<T>::operator+=(const T &a)
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{
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copyonwrite();
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for(SPMatindex i=0; i<nn; ++i)
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{
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if(v[i])
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{
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typename std::map<SPMatindex,T>::iterator p;
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p= v[i]->find(i);
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if(p!=v[i]->end()) p->second+=a; else (*v[i])[i] = a;
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}
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else {v[i] = new std::map<SPMatindex,T>; (*v[i])[i] = a;}
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}
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return *this;
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}
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template <class T>
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SparseSMat<T> & SparseSMat<T>::operator-=(const T &a)
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{
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copyonwrite();
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for(SPMatindex i=0; i<nn; ++i)
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{
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if(v[i])
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{
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typename std::map<SPMatindex,T>::iterator p;
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p= v[i]->find(i);
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if(p!=v[i]->end()) p->second-=a; else (*v[i])[i] = -a;
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}
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else {v[i] = new std::map<SPMatindex,T>; (*v[i])[i] = -a;}
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}
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return *this;
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}
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template <class T>
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typename LA_traits<T>::normtype SparseSMat<T>::norm(const T scalar) const
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{
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typename LA_traits<T>::normtype sum=0;
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for(SPMatindex i=0; i<nn; ++i)
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if(v[i])
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{
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typename std::map<SPMatindex,T>::iterator p;
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p= v[i]->find(i);
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if(p!=v[i]->end()) sum += LA_traits<T>::sqrabs(p->second - scalar);
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else sum += LA_traits<T>::sqrabs(scalar);
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}
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else sum += LA_traits<T>::sqrabs(scalar); //missing diagonal element
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return sqrt(sum);
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}
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#define INSTANTIZE(T) \
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template void SparseSMat<T>::gemm(const T beta, const SparseSMat &a, const char transa, const SparseSMat &b, const char transb, const T alpha); \
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template SparseSMat<T> & SparseSMat<T>::operator*=(const T &a); \
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template void SparseSMat<T>::gemv(const T beta, NRVec<T> &r, const char trans, const T alpha, const NRVec<T> &x) const; \
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template void SparseSMat<T>::axpy(const T alpha, const SparseSMat &x, const bool transp); \
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template SparseSMat<T> & SparseSMat<T>::operator=(const T &a); \
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template SparseSMat<T> & SparseSMat<T>::operator+=(const T &a); \
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template SparseSMat<T> & SparseSMat<T>::operator-=(const T &a); \
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template LA_traits<T>::normtype SparseSMat<T>::norm(const T scalar) const; \
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INSTANTIZE(double)
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26
sparsesmat.h
26
sparsesmat.h
@ -59,12 +59,11 @@ public:
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void copyonwrite();
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void resize(const SPMatindex n);
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void clear() {resize(nn);}
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void simplify();
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unsigned long long simplify();
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~SparseSMat();
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inline int getcount() const {return count?*count:0;}
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SparseSMat & operator*=(const T &a); //multiply by a scalar
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inline const SparseSMat operator*(const T &rhs) const {return SparseSMat(*this) *= rhs;}
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/*@@@to be done
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inline const SparseSMat operator+(const T &rhs) const {return SparseSMat(*this) += rhs;}
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inline const SparseSMat operator-(const T &rhs) const {return SparseSMat(*this) -= rhs;}
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inline const SparseSMat operator+(const SparseSMat &rhs) const {return SparseSMat(*this) += rhs;}
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@ -72,16 +71,15 @@ public:
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SparseSMat & operator=(const T &a); //assign a to diagonal
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SparseSMat & operator+=(const T &a); //assign a to diagonal
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SparseSMat & operator-=(const T &a); //assign a to diagonal
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SparseSMat & operator+=(const SparseSMat &rhs);
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SparseSMat & operator-=(const SparseSMat &rhs);
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void gemv(const T beta, NRVec<T> &r, const char trans, const T alpha, const NRVec<T> &x) const;
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void axpy(const T alpha, const SparseSMat &x, const bool transp=0); // this+= a*x
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const typename LA_traits<T>::normtype norm(const T scalar=(T)0) const;
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*/
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inline SparseSMat & operator+=(const SparseSMat &rhs) {axpy((T)1,rhs); return *this;};
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inline SparseSMat & operator-=(const SparseSMat &rhs) {axpy((T)-1,rhs); return *this;};
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void gemv(const T beta, NRVec<T> &r, const char trans, const T alpha, const NRVec<T> &x) const;
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typename LA_traits<T>::normtype norm(const T scalar=(T)0) const;
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inline const SparseSMat operator*(const SparseSMat &rhs) const {SparseSMat<T> r(nn); r.gemm(0,*this,'n',rhs,'n',1); return r;}; //!!!NOT A GENERAL ROUTINE, JUST FOR THE CASES WHEN THE RESULT STAYS SYMMETRIC
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void gemm(const T beta, const SparseSMat &a, const char transa, const SparseSMat &b, const char transb, const T alpha); //this := alpha*op( A )*op( B ) + beta*this !!!NOT A GENERAL ROUTINE, JUST FOR THE CASES WHEN THE RESULT STAYS SYMMETRIC
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inline void add(const SPMatindex n, const SPMatindex m, const T elem, const bool both=true);
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unsigned int length() const;
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inline unsigned long long length() {return simplify();};
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void transposeme() const {};
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int nrows() const {return nn;}
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int ncols() const {return nn;}
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@ -234,7 +232,7 @@ if(*count > 1) //it was shared
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else //it was not shared
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{
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//delete all trees
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for(SPMatindex i=0; i<nn; ++i) if(v[i]) {delete[] v[i]; v[i]=NULL;}
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for(SPMatindex i=0; i<nn; ++i) if(v[i]) {delete v[i]; v[i]=NULL;}
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if(n!=nn)
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{
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nn=n;
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@ -254,7 +252,7 @@ SparseSMat<T> & SparseSMat<T>::operator=(const SparseSMat &rhs)
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{
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if(v)
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{
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for(SPMatindex i=0; i<nn; ++i) if(v[i]) delete[] v[i];
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for(SPMatindex i=0; i<nn; ++i) if(v[i]) delete v[i];
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delete[] (v);
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}
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delete count;
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@ -310,8 +308,9 @@ if(n!=m && both) //add also transposed
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template <typename T>
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void SparseSMat<T>::simplify()
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unsigned long long SparseSMat<T>::simplify()
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{
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unsigned long long count=0;
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for(SPMatindex i=0; i<nn; ++i) if(v[i])
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{
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//check for zero elements and erase them from the list
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@ -319,11 +318,12 @@ for(SPMatindex i=0; i<nn; ++i) if(v[i])
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std::list<SPMatindex> l;
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typename std::map<SPMatindex,T>::iterator p;
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for(p=v[i]->begin(); p!=v[i]->end(); ++p)
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if(std::abs(p->second) < SPARSEEPSILON) l.push_front(p->first);
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if(std::abs(p->second) < SPARSEEPSILON) l.push_front(p->first); else ++count;
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typename std::list<SPMatindex>::iterator q;
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for(q=l.begin(); q!=l.end(); ++q) v[i]->erase(*q);
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if(v[i]->size() == 0) delete v[i];
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if(v[i]->size() == 0) {delete v[i]; v[i]=NULL;}
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}
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return count;
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}
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template <typename T>
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