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sparsesmat.cc
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101
sparsesmat.cc
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/*
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LA: linear algebra C++ interface library
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Copyright (C) 2008 Jiri Pittner <jiri.pittner@jh-inst.cas.cz> or <jiri@pittnerovi.com>
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <string>
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#include <cmath>
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#include <stdlib.h>
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#include <sys/types.h>
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#include <sys/stat.h>
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#include <fcntl.h>
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#include <errno.h>
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#include "sparsesmat.h"
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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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(*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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copyonwrite();
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for(SPMatindex k=0; k<nn; ++k) //summation loop
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if(a.v[k] && b.v[k]) //nonempty in both
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{
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NRVec<T> av(a.v[k]->size());
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NRVec<T> bv(b.v[k]->size());
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NRVec<SPMatindex> ai(a.v[k]->size());
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NRVec<SPMatindex> bi(b.v[k]->size());
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//gather the data
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typename std::map<SPMatindex,T>::iterator p;
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int i,j;
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for(p=a.v[k]->begin(), i=0; p!=a.v[k]->end(); ++p,++i)
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{
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ai[i] = p->first;
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av[i] = p->second;
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}
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for(p=b.v[k]->begin(), i=0; p!=b.v[k]->end(); ++p,++i)
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{
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bi[i] = p->first;
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bv[i] = p->second;
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}
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//make multiply via blas
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NRMat<T> prod=av.otimes(bv,false,alpha);
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//scatter the results
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for(i=0; i<prod.nrows(); ++i) for(j=0; j<prod.ncols(); ++j)
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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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}
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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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if(!count) laerror("operator*= on undefined lhs");
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if(a==(T)1) return *this;
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if(a==(T)0) {clear(); return *this;}
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copyonwrite();
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for(SPMatindex i=0; i<nn; ++i) if(v[i])
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{
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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) p->second *= a;
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}
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return *this;
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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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INSTANTIZE(double)
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INSTANTIZE(complex<double>)
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//// forced instantization of functions in the header in the corresponding object file
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template class SparseSMat<double>;
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template class SparseSMat<complex<double> >;
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35
sparsesmat.h
35
sparsesmat.h
@ -62,24 +62,25 @@ public:
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void simplify();
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void simplify();
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~SparseSMat();
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~SparseSMat();
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inline int getcount() const {return count?*count:0;}
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inline int getcount() const {return count?*count:0;}
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//
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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 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 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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inline const SparseSMat operator+(const SparseSMat &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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inline const SparseSMat operator-(const SparseSMat &rhs) const {return SparseSMat(*this) -= rhs;}
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inline const SparseSMat operator*(const SparseSMat &rhs) const; //!!!NOT A GENERAL ROUTINE, JUST FOR THE CASES WHEN THE RESULT STAYS SYMMETRIC
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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 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 T &a); //multiply by a scalar
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SparseSMat & operator+=(const SparseSMat &rhs);
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SparseSMat & operator+=(const SparseSMat &rhs);
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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 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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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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const typename LA_traits<T>::normtype norm(const T scalar=(T)0) const;
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void add(const SPMatindex n, const SPMatindex m, const T elem, const bool both=true);
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*/
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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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unsigned int length() const;
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void transposeme() const {};
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void transposeme() const {};
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int nrows() const {return nn;}
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int nrows() const {return nn;}
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if(n>=nn || m>=nn) laerror("illegal index in SparseSMat::add()");
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if(n>=nn || m>=nn) laerror("illegal index in SparseSMat::add()");
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#endif
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#endif
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if(!v[n]) v[n] = new std::map<SPMatindex,T>;
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if(!v[n]) v[n] = new std::map<SPMatindex,T>;
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if(!v[m]) v[m] = new std::map<SPMatindex,T>;
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typename std::map<SPMatindex,T>::iterator p;
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typename std::map<SPMatindex,T>::iterator p;
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if(p!=v[n]->end()) p->second+=elem; else (*v[n])[m] = elem;
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if(p!=v[n]->end()) p->second+=elem; else (*v[n])[m] = elem;
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if(n!=m && both) //add also transposed
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if(n!=m && both) //add also transposed
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{
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{
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if(!v[m]) v[m] = new std::map<SPMatindex,T>;
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p= v[m]->find(n);
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p= v[m]->find(n);
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if(p!=v[m]->end()) p->second+=elem; else (*v[m])[n] = elem;
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if(p!=v[m]->end()) p->second+=elem; else (*v[m])[n] = elem;
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}
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}
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//build a list since we are not sure whether erase from within the traversal loop is safe
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//build a list since we are not sure whether erase from within the traversal loop is safe
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std::list<SPMatindex> l;
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std::list<SPMatindex> l;
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typename std::map<SPMatindex,T>::iterator p;
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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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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);
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typename std::list<SPMatindex>::iterator q;
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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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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];
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}
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}
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}
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}
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template <typename T>
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template <typename T>
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std::ostream & operator<<(std::ostream &s, const SparseSMat<T> &x)
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std::ostream & operator<<(std::ostream &s, const SparseSMat<T> &x)
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{
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{
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SPMatindex n;
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SPMatindex n;
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n = x.nrows();
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n = x.nrows();
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s << n << " "<< n<< std::endl;
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s << n << " "<< n<< std::endl;
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typename SparseSMat<T>::iterator p(x);
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typename SparseSMat<T>::iterator p(x);
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for(; p.notend(); ++p) s << (int)p->row << ' ' << (int)p->col << ' ' << (typename LA_traits_io<T>::IOtype) p->elem << '\n';
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for(; p.notend(); ++p) s << (int)p->row << ' ' << (int)p->col << ' ' << (typename LA_traits_io<T>::IOtype) p->elem << '\n';
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s << "-1 -1\n";
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s << "-1 -1\n";
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return s;
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return s;
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}
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}
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template <class T>
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template <class T>
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