326 lines
13 KiB
C++
326 lines
13 KiB
C++
/*
|
|
LA: linear algebra C++ interface library
|
|
Copyright (C) 2008 Jiri Pittner <jiri.pittner@jh-inst.cas.cz> or <jiri@pittnerovi.com>
|
|
|
|
This program is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
#ifndef _SPARSEMAT_H_
|
|
#define _SPARSEMAT_H_
|
|
#include "la_traits.h"
|
|
|
|
namespace LA {
|
|
|
|
//threshold for neglecting elements, if not defined, no tests are done except exact zero test in simplify - might be even faster
|
|
//seems to perform better with a threshold, in spite of abs() tests
|
|
const double SPARSEEPSILON=1e-15;
|
|
|
|
typedef unsigned int SPMatindex;
|
|
typedef int SPMatindexdiff; //more clear would be to use traits
|
|
|
|
//element of a linked list
|
|
template<typename T>
|
|
struct matel
|
|
{
|
|
T elem;
|
|
SPMatindex row;
|
|
SPMatindex col;
|
|
matel *next;
|
|
};
|
|
|
|
|
|
template <typename T>
|
|
class SparseMat {
|
|
protected:
|
|
SPMatindex nn;
|
|
SPMatindex mm;
|
|
bool symmetric;
|
|
unsigned int nonzero;
|
|
int *count;
|
|
matel<T> *list;
|
|
private:
|
|
matel<T> **rowsorted; //NULL terminated
|
|
matel<T> **colsorted; //NULL terminated
|
|
void unsort();
|
|
void deletelist();
|
|
void copylist(const matel<T> *l);
|
|
public:
|
|
//iterator
|
|
class iterator {
|
|
private:
|
|
matel<T> *p;
|
|
public:
|
|
iterator() {};
|
|
~iterator() {};
|
|
iterator(matel<T> *list): p(list) {};
|
|
bool operator==(const iterator rhs) const {return p==rhs.p;}
|
|
bool operator!=(const iterator rhs) const {return p!=rhs.p;}
|
|
iterator operator++() {return p=p->next;}
|
|
iterator operator++(int) {matel<T> *q=p; p=p->next; return q;}
|
|
matel<T> & operator*() const {return *p;}
|
|
matel<T> * operator->() const {return p;}
|
|
};
|
|
iterator begin() const {return list;}
|
|
iterator end() const {return NULL;}
|
|
|
|
//constructors etc.
|
|
inline SparseMat() :nn(0),mm(0),symmetric(0),nonzero(0),count(NULL),list(NULL),rowsorted(NULL),colsorted(NULL) {};
|
|
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) {};
|
|
SparseMat(const SparseMat &rhs); //copy constructor
|
|
inline int getcount() const {return count?*count:0;}
|
|
explicit SparseMat(const NRMat<T> &rhs); //construct from a dense one
|
|
explicit SparseMat(const NRSMat<T> &rhs); //construct from a dense symmetric one
|
|
SparseMat & operator=(const SparseMat &rhs);
|
|
SparseMat & operator=(const T &a); //assign a to diagonal
|
|
void identity() {*this = (T)1;};
|
|
SparseMat & operator+=(const T &a); //assign a to diagonal
|
|
SparseMat & operator-=(const T &a); //assign a to diagonal
|
|
SparseMat & operator*=(const T &a); //multiply by a scalar
|
|
SparseMat & operator+=(const SparseMat &rhs);
|
|
SparseMat & addtriangle(const SparseMat &rhs, const bool lower, const char sign);
|
|
SparseMat & join(SparseMat &rhs); //more efficient +=, rhs will be emptied
|
|
SparseMat & operator-=(const SparseMat &rhs);
|
|
inline const SparseMat operator+(const T &rhs) const {return SparseMat(*this) += rhs;}
|
|
inline const SparseMat operator-(const T &rhs) const {return SparseMat(*this) -= rhs;}
|
|
inline const SparseMat operator*(const T &rhs) const {return SparseMat(*this) *= rhs;}
|
|
inline const SparseMat operator+(const SparseMat &rhs) const {return SparseMat(*this) += rhs;} //must not be symmetric+general
|
|
inline const SparseMat operator-(const SparseMat &rhs) const {return SparseMat(*this) -= rhs;} //must not be symmetric+general
|
|
inline const NRVec<T> operator*(const NRVec<T> &rhs) const; // SparseMat * Vec
|
|
inline const NRMat<T> operator*(const NRMat<T> &rhs) const; // SparseMat * Mat
|
|
const T* diagonalof(NRVec<T> &, const bool divide=0, bool cache=false) const; //get diagonal
|
|
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);};
|
|
const SparseMat operator*(const SparseMat &rhs) const;
|
|
SparseMat & oplusequal(const SparseMat &rhs); //direct sum
|
|
SparseMat & oplusequal(const NRMat<T> &rhs);
|
|
SparseMat & oplusequal(const NRSMat<T> &rhs);
|
|
const SparseMat oplus(const SparseMat &rhs) const {return SparseMat(*this).oplusequal(rhs);}; //direct sum
|
|
const SparseMat oplus(const NRMat<T> &rhs) const {return SparseMat(*this).oplusequal(rhs);};
|
|
const SparseMat oplus(const NRSMat<T> &rhs) const {return SparseMat(*this).oplusequal(rhs);};
|
|
const SparseMat otimes(const SparseMat &rhs) const; //direct product
|
|
const SparseMat otimes(const NRMat<T> &rhs) const;
|
|
const SparseMat otimes(const NRSMat<T> &rhs) const;
|
|
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
|
|
const T dot(const SparseMat &rhs) const; //supervector dot product
|
|
const T dot(const NRMat<T> &rhs) const; //supervector dot product
|
|
inline ~SparseMat();
|
|
void axpy(const T alpha, const SparseMat &x, const bool transp=0); // this+= a*x(transposed)
|
|
inline matel<T> *getlist() const {return list;}
|
|
void setlist(matel<T> *l) {list=l;}
|
|
inline SPMatindex nrows() const {return nn;}
|
|
inline SPMatindex ncols() const {return mm;}
|
|
void get(int fd, bool dimensions=1, bool transposed=false);
|
|
void put(int fd, bool dimensions=1, bool transposed=false) const;
|
|
void resize(const SPMatindex n, const SPMatindex m); //destructive
|
|
void dealloc(void) {resize(0,0);}
|
|
void incsize(const SPMatindex n, const SPMatindex m); //increase size without destroying the data
|
|
void transposeme();
|
|
const SparseMat transpose() const;
|
|
void permuteindices(const NRVec<SPMatindex> &p); //for backward compatibility, indices from 0
|
|
void permuterows(const NRVec<SPMatindex> &p); //for backward compatibility, indices from 0
|
|
void permutecolumns(const NRVec<SPMatindex> &p); //for backward compatibility, indices from 0
|
|
void permuteme_rows(const NRPerm<int> &p, const bool inverse=false); //indexed from 1
|
|
void permuteme_cols(const NRPerm<int> &p, const bool inverse=false); //indexed from 1
|
|
void permuteme_both(const NRPerm<int> &p, const NRPerm<int> &q, const bool inverse=false); //indexed from 1
|
|
const SparseMat permuted_rows(const NRPerm<int> &p, const bool inverse=false) const {SparseMat a(*this); a.permuteme_rows(p,inverse); return a;};
|
|
const SparseMat permuted_cols(const NRPerm<int> &p, const bool inverse=false) const {SparseMat a(*this); a.permuteme_cols(p,inverse); return a;};
|
|
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;};
|
|
inline void setsymmetric() {if(nn!=mm) laerror("non-square cannot be symmetric"); symmetric=1;}
|
|
inline void defineunsymmetric() {symmetric=0;} //just define and do nothing with it
|
|
void setunsymmetric();//unwind the matrix assuming it was indeed symmetric
|
|
inline bool issymmetric() const {return symmetric;}
|
|
unsigned int length() const;
|
|
void copyonwrite(bool detachonly=false, bool deep=true);
|
|
void clear() {copyonwrite(LA_traits<T>::is_plaindata()); if(count) {delete count; count=NULL;}}
|
|
void simplify(const double sparseepsilon=SPARSEEPSILON);
|
|
const T trace() const;
|
|
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
|
|
unsigned int sort(int type) const;
|
|
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;}
|
|
void addsafe(const SPMatindex n, const SPMatindex m, const T elem);
|
|
void swap(SparseMat &rhs) //more efficient swap than via tmp and constructors and operator=
|
|
{
|
|
SPMatindex tmpnn=nn; nn=rhs.nn; rhs.nn=tmpnn;
|
|
SPMatindex tmpmm=mm; mm=rhs.mm; rhs.mm=tmpmm;
|
|
int *tmpcount=count; count=rhs.count; rhs.count=tmpcount;
|
|
bool tmpsymmetric=symmetric; symmetric=rhs.symmetric; rhs.symmetric=tmpsymmetric;
|
|
int tmpnonzero=nonzero; nonzero=rhs.nonzero; rhs.nonzero=tmpnonzero;
|
|
matel<T> *tmplist=list; list=rhs.list; rhs.list=tmplist;
|
|
matel<T> **tmprowsorted=rowsorted; rowsorted=rhs.rowsorted; rhs.rowsorted=tmprowsorted;
|
|
matel<T> **tmpcolsorted=colsorted; colsorted=rhs.colsorted; rhs.colsorted=tmpcolsorted;
|
|
}
|
|
};
|
|
|
|
}//namespace
|
|
|
|
//due to mutual includes this has to be after full class declaration
|
|
#include "vec.h"
|
|
#include "smat.h"
|
|
#include "mat.h"
|
|
|
|
namespace LA {
|
|
|
|
template <typename T>
|
|
inline const NRVec<T> SparseMat<T>::operator*(const NRVec<T> &rhs) const
|
|
{NRVec<T> result(nn); result.gemv((T)0,*this,'n',(T)1,rhs); return result;};
|
|
|
|
template <typename T>
|
|
inline const NRMat<T> SparseMat<T>::operator*(const NRMat<T> &rhs) const
|
|
{NRMat<T> result(nn,rhs.ncols()); result.gemm((T)0,*this,'n',rhs,'n',(T)1); return result;};
|
|
|
|
template <class T>
|
|
std::ostream& operator<<(std::ostream &s, const SparseMat<T> &x)
|
|
{
|
|
SPMatindex n,m;
|
|
n=x.nrows();
|
|
m=x.ncols();
|
|
s << (int)n << ' ' << (int)m << '\n';
|
|
matel<T> *list=x.getlist();
|
|
while(list)
|
|
{
|
|
s << (int)list->row << ' ' << (int)list->col << ' ' << (typename LA_traits_io<T>::IOtype)list->elem << '\n';
|
|
list=list->next;
|
|
}
|
|
s << "-1 -1\n";
|
|
return s;
|
|
}
|
|
|
|
template <class T>
|
|
std::istream& operator>>(std::istream &s, SparseMat<T> &x)
|
|
{
|
|
int i,j;
|
|
int n,m;
|
|
matel<T> *l=NULL;
|
|
s >> n >> m;
|
|
x.resize(n,m);
|
|
s >> i >> j;
|
|
while(i>=0 && j>=0)
|
|
{
|
|
matel<T> *ll = l;
|
|
l= new matel<T>;
|
|
l->next= ll;
|
|
l->row=i;
|
|
l->col=j;
|
|
typename LA_traits_io<T>::IOtype tmp;
|
|
s >> tmp;
|
|
l->elem=tmp;
|
|
s >> i >> j;
|
|
}
|
|
x.setlist(l);
|
|
return s;
|
|
}
|
|
|
|
|
|
//destructor
|
|
template <typename T>
|
|
SparseMat<T>::~SparseMat()
|
|
{
|
|
unsort();
|
|
if(!count) return;
|
|
if(--(*count)<=0)
|
|
{
|
|
deletelist();
|
|
delete count;
|
|
}
|
|
}
|
|
|
|
//copy constructor (sort arrays are not going to be copied)
|
|
template <typename T>
|
|
SparseMat<T>::SparseMat(const SparseMat<T> &rhs)
|
|
{
|
|
#ifdef debug
|
|
if(! &rhs) laerror("SparseMat copy constructor with NULL argument");
|
|
#endif
|
|
nn=rhs.nn;
|
|
mm=rhs.mm;
|
|
symmetric=rhs.symmetric;
|
|
if(rhs.list&&!rhs.count) laerror("some inconsistency in SparseMat contructors or assignments");
|
|
list=rhs.list;
|
|
if(list) {count=rhs.count; (*count)++;} else count=new int(1); //make the matrix defined, but empty and not shared
|
|
colsorted=rowsorted=NULL;
|
|
nonzero=0;
|
|
}
|
|
|
|
template <typename T>
|
|
const SparseMat<T> SparseMat<T>::transpose() const
|
|
{
|
|
if(list&&!count) laerror("some inconsistency in SparseMat transpose");
|
|
SparseMat<T> result;
|
|
result.nn=mm;
|
|
result.mm=nn;
|
|
result.symmetric=symmetric;
|
|
if(result.symmetric)
|
|
{
|
|
result.list=list;
|
|
if(list) {result.count=count; (*result.count)++;} else result.count=new int(1); //make the matrix defined, but empty and not shared
|
|
}
|
|
else //really transpose it
|
|
{
|
|
result.count=new int(1);
|
|
result.list=NULL;
|
|
matel<T> *l =list;
|
|
while(l)
|
|
{
|
|
result.add(l->col,l->row,l->elem);
|
|
l=l->next;
|
|
}
|
|
}
|
|
result.colsorted=result.rowsorted=NULL;
|
|
result.nonzero=0;
|
|
return result;
|
|
}
|
|
|
|
|
|
|
|
template<typename T>
|
|
inline const SparseMat<T> commutator ( const SparseMat<T> &x, const SparseMat<T> &y, const bool trx=0, const bool tryy=0)
|
|
{
|
|
SparseMat<T> r;
|
|
r.gemm((T)0,x,trx?'t':'n',y,tryy?'t':'n',(T)1);
|
|
r.gemm((T)1,y,tryy?'t':'n',x,trx?'t':'n',(T)-1); //saves a temporary and simplifies the whole sum
|
|
return r;
|
|
}
|
|
|
|
template<typename T>
|
|
inline const SparseMat<T> anticommutator ( const SparseMat<T> &x, const SparseMat<T> &y, const bool trx=0, const bool tryy=0)
|
|
{
|
|
SparseMat<T> r;
|
|
r.gemm((T)0,x,trx?'t':'n',y,tryy?'t':'n',(T)1);
|
|
r.gemm((T)1,y,tryy?'t':'n',x,trx?'t':'n',(T)1); //saves a temporary and simplifies the whole sum
|
|
return r;
|
|
}
|
|
|
|
|
|
//add sparse to dense
|
|
template<typename T>
|
|
NRMat<T> & NRMat<T>::operator+=(const SparseMat<T> &rhs)
|
|
{
|
|
if((unsigned int)nn!=rhs.nrows()||(unsigned int)mm!=rhs.ncols()) laerror("incompatible matrices in +=");
|
|
matel<T> *l=rhs.getlist();
|
|
bool sym=rhs.issymmetric();
|
|
while(l)
|
|
{
|
|
#ifdef MATPTR
|
|
v[l->row][l->col] +=l->elem;
|
|
if(sym && l->row!=l->col) v[l->col][l->row] +=l->elem;
|
|
#else
|
|
v[l->row*mm+l->col] +=l->elem;
|
|
if(sym && l->row!=l->col) v[l->col*mm+l->row] +=l->elem;
|
|
#endif
|
|
l=l->next;
|
|
}
|
|
return *this;
|
|
}
|
|
|
|
}//namespace
|
|
#endif
|