326 lines
13 KiB
C++
326 lines
13 KiB
C++
/*
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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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#ifndef _SPARSEMAT_H_
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#define _SPARSEMAT_H_
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#include "la_traits.h"
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namespace LA {
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//threshold for neglecting elements, if not defined, no tests are done except exact zero test in simplify - might be even faster
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//seems to perform better with a threshold, in spite of abs() tests
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const double SPARSEEPSILON=1e-15;
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typedef unsigned int SPMatindex;
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typedef int SPMatindexdiff; //more clear would be to use traits
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//element of a linked list
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template<typename T>
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struct matel
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{
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T elem;
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SPMatindex row;
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SPMatindex col;
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matel *next;
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};
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template <typename T>
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class SparseMat {
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protected:
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SPMatindex nn;
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SPMatindex mm;
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bool symmetric;
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unsigned int nonzero;
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int *count;
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matel<T> *list;
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private:
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matel<T> **rowsorted; //NULL terminated
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matel<T> **colsorted; //NULL terminated
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void unsort();
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void deletelist();
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void copylist(const matel<T> *l);
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public:
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//iterator
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class iterator {
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private:
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matel<T> *p;
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public:
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iterator() {};
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~iterator() {};
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iterator(matel<T> *list): p(list) {};
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bool operator==(const iterator rhs) const {return p==rhs.p;}
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bool operator!=(const iterator rhs) const {return p!=rhs.p;}
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iterator operator++() {return p=p->next;}
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iterator operator++(int) {matel<T> *q=p; p=p->next; return q;}
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matel<T> & operator*() const {return *p;}
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matel<T> * operator->() const {return p;}
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};
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iterator begin() const {return list;}
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iterator end() const {return NULL;}
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//constructors etc.
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inline SparseMat() :nn(0),mm(0),symmetric(0),nonzero(0),count(NULL),list(NULL),rowsorted(NULL),colsorted(NULL) {};
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inline SparseMat(const SPMatindex n, const SPMatindex m) :nn(n),mm(m),symmetric(0),nonzero(0),count(new int(1)),list(NULL),rowsorted(NULL),colsorted(NULL) {};
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SparseMat(const SparseMat &rhs); //copy constructor
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inline int getcount() const {return count?*count:0;}
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explicit SparseMat(const NRMat<T> &rhs); //construct from a dense one
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explicit SparseMat(const NRSMat<T> &rhs); //construct from a dense symmetric one
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SparseMat & operator=(const SparseMat &rhs);
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SparseMat & operator=(const T &a); //assign a to diagonal
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void identity() {*this = (T)1;};
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SparseMat & operator+=(const T &a); //assign a to diagonal
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SparseMat & operator-=(const T &a); //assign a to diagonal
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SparseMat & operator*=(const T &a); //multiply by a scalar
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SparseMat & operator+=(const SparseMat &rhs);
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SparseMat & addtriangle(const SparseMat &rhs, const bool lower, const char sign);
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SparseMat & join(SparseMat &rhs); //more efficient +=, rhs will be emptied
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SparseMat & operator-=(const SparseMat &rhs);
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inline const SparseMat operator+(const T &rhs) const {return SparseMat(*this) += rhs;}
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inline const SparseMat operator-(const T &rhs) const {return SparseMat(*this) -= rhs;}
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inline const SparseMat operator*(const T &rhs) const {return SparseMat(*this) *= rhs;}
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inline const SparseMat operator+(const SparseMat &rhs) const {return SparseMat(*this) += rhs;} //must not be symmetric+general
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inline const SparseMat operator-(const SparseMat &rhs) const {return SparseMat(*this) -= rhs;} //must not be symmetric+general
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inline const NRVec<T> operator*(const NRVec<T> &rhs) const; // SparseMat * Vec
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inline const NRMat<T> operator*(const NRMat<T> &rhs) const; // SparseMat * Mat
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const T* diagonalof(NRVec<T> &, const bool divide=0, bool cache=false) const; //get diagonal
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void gemv(const T beta, NRVec<T> &r, const char trans, const T alpha, const NRVec<T> &x, bool treat_as_symmetric=false) const {r.gemv(beta,*this,trans,alpha,x,treat_as_symmetric);};
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const SparseMat operator*(const SparseMat &rhs) const;
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SparseMat & oplusequal(const SparseMat &rhs); //direct sum
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SparseMat & oplusequal(const NRMat<T> &rhs);
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SparseMat & oplusequal(const NRSMat<T> &rhs);
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const SparseMat oplus(const SparseMat &rhs) const {return SparseMat(*this).oplusequal(rhs);}; //direct sum
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const SparseMat oplus(const NRMat<T> &rhs) const {return SparseMat(*this).oplusequal(rhs);};
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const SparseMat oplus(const NRSMat<T> &rhs) const {return SparseMat(*this).oplusequal(rhs);};
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const SparseMat otimes(const SparseMat &rhs) const; //direct product
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const SparseMat otimes(const NRMat<T> &rhs) const;
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const SparseMat otimes(const NRSMat<T> &rhs) const;
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void gemm(const T beta, const SparseMat &a, const char transa, const SparseMat &b, const char transb, const T alpha);//this := alpha*op( A )*op( B ) + beta*this, if this is symemtric, only half will be added onto it
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const T dot(const SparseMat &rhs) const; //supervector dot product
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const T dot(const NRMat<T> &rhs) const; //supervector dot product
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inline ~SparseMat();
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void axpy(const T alpha, const SparseMat &x, const bool transp=0); // this+= a*x(transposed)
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inline matel<T> *getlist() const {return list;}
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void setlist(matel<T> *l) {list=l;}
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inline SPMatindex nrows() const {return nn;}
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inline SPMatindex ncols() const {return mm;}
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void get(int fd, bool dimensions=1, bool transposed=false);
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void put(int fd, bool dimensions=1, bool transposed=false) const;
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void resize(const SPMatindex n, const SPMatindex m); //destructive
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void dealloc(void) {resize(0,0);}
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void incsize(const SPMatindex n, const SPMatindex m); //increase size without destroying the data
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void transposeme();
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const SparseMat transpose() const;
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void permuteindices(const NRVec<SPMatindex> &p); //for backward compatibility, indices from 0
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void permuterows(const NRVec<SPMatindex> &p); //for backward compatibility, indices from 0
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void permutecolumns(const NRVec<SPMatindex> &p); //for backward compatibility, indices from 0
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void permuteme_rows(const NRPerm<int> &p, const bool inverse=false); //indexed from 1
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void permuteme_cols(const NRPerm<int> &p, const bool inverse=false); //indexed from 1
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void permuteme_both(const NRPerm<int> &p, const NRPerm<int> &q, const bool inverse=false); //indexed from 1
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const SparseMat permuted_rows(const NRPerm<int> &p, const bool inverse=false) const {SparseMat a(*this); a.permuteme_rows(p,inverse); return a;};
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const SparseMat permuted_cols(const NRPerm<int> &p, const bool inverse=false) const {SparseMat a(*this); a.permuteme_cols(p,inverse); return a;};
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const SparseMat permuted_both(const NRPerm<int> &p, const NRPerm<int> &q, const bool inverse=false) const {SparseMat a(*this); a.permuteme_both(p,q,inverse); return a;};
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inline void setsymmetric() {if(nn!=mm) laerror("non-square cannot be symmetric"); symmetric=1;}
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inline void defineunsymmetric() {symmetric=0;} //just define and do nothing with it
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void setunsymmetric();//unwind the matrix assuming it was indeed symmetric
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inline bool issymmetric() const {return symmetric;}
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unsigned int length() const;
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void copyonwrite(bool detachonly=false);
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void clear() {copyonwrite(LA_traits<T>::is_plaindata()); if(count) {delete count; count=NULL;}}
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void simplify(const double sparseepsilon=SPARSEEPSILON);
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const T trace() const;
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const typename LA_traits<T>::normtype norm(const T scalar=(T)0) const; //is const only mathematically, not in internal implementation - we have to simplify first
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unsigned int sort(int type) const;
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inline void add(const SPMatindex n, const SPMatindex m, const T elem) {matel<T> *ltmp= new matel<T>; ltmp->next=list; list=ltmp; list->row=n; list->col=m; list->elem=elem;}
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void addsafe(const SPMatindex n, const SPMatindex m, const T elem);
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void swap(SparseMat &rhs) //more efficient swap than via tmp and constructors and operator=
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{
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SPMatindex tmpnn=nn; nn=rhs.nn; rhs.nn=tmpnn;
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SPMatindex tmpmm=mm; mm=rhs.mm; rhs.mm=tmpmm;
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int *tmpcount=count; count=rhs.count; rhs.count=tmpcount;
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bool tmpsymmetric=symmetric; symmetric=rhs.symmetric; rhs.symmetric=tmpsymmetric;
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int tmpnonzero=nonzero; nonzero=rhs.nonzero; rhs.nonzero=tmpnonzero;
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matel<T> *tmplist=list; list=rhs.list; rhs.list=tmplist;
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matel<T> **tmprowsorted=rowsorted; rowsorted=rhs.rowsorted; rhs.rowsorted=tmprowsorted;
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matel<T> **tmpcolsorted=colsorted; colsorted=rhs.colsorted; rhs.colsorted=tmpcolsorted;
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}
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};
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}//namespace
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//due to mutual includes this has to be after full class declaration
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#include "vec.h"
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#include "smat.h"
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#include "mat.h"
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namespace LA {
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template <typename T>
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inline const NRVec<T> SparseMat<T>::operator*(const NRVec<T> &rhs) const
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{NRVec<T> result(nn); result.gemv((T)0,*this,'n',(T)1,rhs); return result;};
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template <typename T>
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inline const NRMat<T> SparseMat<T>::operator*(const NRMat<T> &rhs) const
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{NRMat<T> result(nn,rhs.ncols()); result.gemm((T)0,*this,'n',rhs,'n',(T)1); return result;};
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template <class T>
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std::ostream& operator<<(std::ostream &s, const SparseMat<T> &x)
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{
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SPMatindex n,m;
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n=x.nrows();
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m=x.ncols();
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s << (int)n << ' ' << (int)m << '\n';
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matel<T> *list=x.getlist();
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while(list)
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{
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s << (int)list->row << ' ' << (int)list->col << ' ' << (typename LA_traits_io<T>::IOtype)list->elem << '\n';
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list=list->next;
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}
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s << "-1 -1\n";
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return s;
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}
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template <class T>
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std::istream& operator>>(std::istream &s, SparseMat<T> &x)
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{
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int i,j;
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int n,m;
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matel<T> *l=NULL;
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s >> n >> m;
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x.resize(n,m);
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s >> i >> j;
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while(i>=0 && j>=0)
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{
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matel<T> *ll = l;
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l= new matel<T>;
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l->next= ll;
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l->row=i;
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l->col=j;
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typename LA_traits_io<T>::IOtype tmp;
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s >> tmp;
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l->elem=tmp;
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s >> i >> j;
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}
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x.setlist(l);
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return s;
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}
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//destructor
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template <typename T>
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SparseMat<T>::~SparseMat()
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{
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unsort();
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if(!count) return;
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if(--(*count)<=0)
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{
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deletelist();
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delete count;
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}
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}
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//copy constructor (sort arrays are not going to be copied)
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template <typename T>
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SparseMat<T>::SparseMat(const SparseMat<T> &rhs)
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{
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#ifdef debug
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if(! &rhs) laerror("SparseMat copy constructor with NULL argument");
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#endif
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nn=rhs.nn;
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mm=rhs.mm;
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symmetric=rhs.symmetric;
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if(rhs.list&&!rhs.count) laerror("some inconsistency in SparseMat contructors or assignments");
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list=rhs.list;
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if(list) {count=rhs.count; (*count)++;} else count=new int(1); //make the matrix defined, but empty and not shared
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colsorted=rowsorted=NULL;
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nonzero=0;
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}
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template <typename T>
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const SparseMat<T> SparseMat<T>::transpose() const
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{
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if(list&&!count) laerror("some inconsistency in SparseMat transpose");
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SparseMat<T> result;
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result.nn=mm;
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result.mm=nn;
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result.symmetric=symmetric;
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if(result.symmetric)
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{
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result.list=list;
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if(list) {result.count=count; (*result.count)++;} else result.count=new int(1); //make the matrix defined, but empty and not shared
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}
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else //really transpose it
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{
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result.count=new int(1);
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result.list=NULL;
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matel<T> *l =list;
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while(l)
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{
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result.add(l->col,l->row,l->elem);
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l=l->next;
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}
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}
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result.colsorted=result.rowsorted=NULL;
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result.nonzero=0;
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return result;
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}
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template<typename T>
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inline const SparseMat<T> commutator ( const SparseMat<T> &x, const SparseMat<T> &y, const bool trx=0, const bool tryy=0)
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{
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SparseMat<T> r;
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r.gemm((T)0,x,trx?'t':'n',y,tryy?'t':'n',(T)1);
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r.gemm((T)1,y,tryy?'t':'n',x,trx?'t':'n',(T)-1); //saves a temporary and simplifies the whole sum
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return r;
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}
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template<typename T>
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inline const SparseMat<T> anticommutator ( const SparseMat<T> &x, const SparseMat<T> &y, const bool trx=0, const bool tryy=0)
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{
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SparseMat<T> r;
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r.gemm((T)0,x,trx?'t':'n',y,tryy?'t':'n',(T)1);
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r.gemm((T)1,y,tryy?'t':'n',x,trx?'t':'n',(T)1); //saves a temporary and simplifies the whole sum
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return r;
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}
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//add sparse to dense
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template<typename T>
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NRMat<T> & NRMat<T>::operator+=(const SparseMat<T> &rhs)
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{
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if((unsigned int)nn!=rhs.nrows()||(unsigned int)mm!=rhs.ncols()) laerror("incompatible matrices in +=");
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matel<T> *l=rhs.getlist();
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bool sym=rhs.issymmetric();
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while(l)
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{
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#ifdef MATPTR
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v[l->row][l->col] +=l->elem;
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if(sym && l->row!=l->col) v[l->col][l->row] +=l->elem;
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#else
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v[l->row*mm+l->col] +=l->elem;
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if(sym && l->row!=l->col) v[l->col*mm+l->row] +=l->elem;
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#endif
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l=l->next;
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}
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return *this;
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}
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}//namespace
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#endif
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