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jiri 2005-02-14 00:10:07 +00:00
parent ac8afe89ad
commit 6150e1b9c6
14 changed files with 513 additions and 62 deletions
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3
auxstorage.h
View File

@ -14,6 +14,8 @@
//CAUTION:
//it will not work if T is itself a class with dynamically allocated components
//it cannot be implemented for SparseMat, which lacks fixed record length
//for more complex I/O use put() and get() methods of the individual classes
template<typename T>
@ -38,6 +40,7 @@ public:
template<typename T>
AuxStorage<T>::AuxStorage(void)
{
//mkstemp probable does not support O_LARGEFILE?!
strcpy(filename,"AUX_XXXXXX");
mktemp(filename);
unlink(filename);

132
la_traits.h
View File

@ -1,40 +1,128 @@
////////////////////////////////////////////////////////////////////////////
//traits classes
//LA traits classes
#ifndef _LA_TRAITS_INCL
#define _LA_TRAITS_INCL
//default one, good for numbers
template<class C> struct NRMat_traits {
typedef C elementtype;
typedef C producttype;
static C norm (const C &x) {return abs(x);}
static void axpy (C &s, const C &x, const C &c) {s+=x*c;}
//forward declarations
template<typename C> class NRVec;
template<typename C> class NRMat;
template<typename C> class NRSMat;
template<typename C> class SparseMat;
//let's do some simple template metaprogramming and preprocessing
//to keep the thing general and compact
typedef class scalar_false {};
typedef class scalar_true {};
//default is non-scalar
template<typename C>
class isscalar {
typedef scalar_false scalar_type;
};
//specializations
template<> struct NRMat_traits<NRMat<double> > {
typedef double elementtype;
typedef NRMat<double> producttype;
static double norm (const NRMat<double> &x) {return x.norm();}
static void axpy (NRMat<double>&s, const NRMat<double> &x, const double c) {s.axpy(c,x);}
#define SCALAR(X) \
class isscalar<X> {typedef scalar_true scalar_type;};
//declare what is scalar
SCALAR(char)
SCALAR(short)
SCALAR(int)
SCALAR(long)
SCALAR(long long)
SCALAR(unsigned char)
SCALAR(unsigned short)
SCALAR(unsigned int)
SCALAR(unsigned long)
SCALAR(unsigned long long)
SCALAR(float)
SCALAR(double)
SCALAR(complex<float>)
SCALAR(complex<double>)
SCALAR(void *)
#undef SCALAR
//now declare the traits for scalars and for composed classes
template<typename C, typename Scalar> struct LA_traits_aux {};
//complex scalars
template<typename C>
struct LA_traits_aux<complex<C>, scalar_true> {
typedef complex<C> elementtype;
typedef complex<C> producttype;
typedef C normtype;
static normtype norm (const complex<C> &x) {return abs(x);}
static void axpy (complex<C> &s, const complex<C> &x, const complex<C> &c) {s+=x*c;}
static void get(int fd, complex<C> &x, bool dimensions=0) {if(sizeof(complex<C>)!=read(fd,&x,sizeof(complex<C>))) laerror("read error");}
static void put(int fd, const complex<C> &x, bool dimensions=0) {if(sizeof(complex<C>)!=write(fd,&x,sizeof(complex<C>))) laerror("write error");}
static void multiget(unsigned int n,int fd, complex<C> *x, bool dimensions=0){if((ssize_t)(n*sizeof(complex<C>))!=read(fd,x,n*sizeof(complex<C>))) laerror("read error");}
static void multiput(unsigned int n, int fd, const complex<C> *x, bool dimensions=0) {if((ssize_t)(n*sizeof(complex<C>))!=write(fd,x,n*sizeof(complex<C>))) laerror("write error");}
};
template<> struct NRMat_traits<NRSMat<double> > {
typedef double elementtype;
typedef NRMat<double> producttype;
static const double norm (const NRSMat<double> &x) {return x.norm(0.);}
static void axpy (NRSMat<double>&s, const NRSMat<double> &x, const double c) {s.axpy(c,x);}
//non-complex scalars
template<typename C>
struct LA_traits_aux<C, scalar_true> {
typedef C elementtype;
typedef C producttype;
typedef C normtype;
static normtype norm (const C &x) {return abs(x);}
static void axpy (C &s, const C &x, const C &c) {s+=x*c;}
static void put(int fd, const C &x, bool dimensions=0) {if(sizeof(C)!=write(fd,&x,sizeof(C))) laerror("write error");}
static void get(int fd, C &x, bool dimensions=0) {if(sizeof(C)!=read(fd,&x,sizeof(C))) laerror("read error");}
static void multiput(unsigned int n,int fd, const C *x, bool dimensions=0){if((ssize_t)(n*sizeof(C))!=write(fd,x,n*sizeof(C))) laerror("write error");}
static void multiget(unsigned int n, int fd, C *x, bool dimensions=0) {if((ssize_t)(n*sizeof(C))!=read(fd,x,n*sizeof(C))) laerror("read error");}
};
template<> struct NRMat_traits<NRMat<complex<double> > > {
typedef complex<double> elementtype;
typedef NRMat<complex<double> > producttype;
static double norm (const NRMat<complex<double> > &x) {return x.norm();}
static void axpy (NRMat<complex<double> >&s, const NRMat<complex<double> > &x, const complex<double> c) {s.axpy(c,x);}
//prepare for non-scalar classes
template<typename C>
struct LA_traits; //forward declaration needed for template recursion
#define generate_traits(X) \
template<typename C> \
struct LA_traits_aux<X<C>, scalar_false> { \
typedef C elementtype; \
typedef X<C> producttype; \
typedef typename LA_traits<C>::normtype normtype; \
static normtype norm (const X<C> &x) {return x.norm();} \
static void axpy (X<C>&s, const X<C> &x, const C c) {s.axpy(c,x);} \
static void put(int fd, const C &x, bool dimensions=1) {x.put(fd,dimensions);} \
static void get(int fd, C &x, bool dimensions=1) {x.get(fd,dimensions);} \
static void multiput(unsigned int n,int fd, const C *x, bool dimensions=1) {for(unsigned int i=0; i<n; ++i) x[i].put(fd,dimensions);} \
static void multiget(unsigned int n,int fd, C *x, bool dimensions=1) {for(unsigned int i=0; i<n; ++i) x[i].get(fd,dimensions);} \
};
//non-scalar types defined in this library
generate_traits(NRMat)
generate_traits(NRVec)
generate_traits(SparseMat)
#undef generate_traits
//non-scalar exceptions (smat product type)
template<typename C>
struct LA_traits_aux<NRSMat<C>, scalar_false> {
typedef C elementtype;
typedef NRMat<C> producttype;
typedef typename LA_traits<C>::normtype normtype;
static normtype norm (const NRSMat<C> &x) {return x.norm();}
static void axpy (NRSMat<C>&s, const NRSMat<C> &x, const C c) {s.axpy(c,x);}
static void put(int fd, const C &x, bool dimensions=1) {x.put(fd,dimensions);}
static void get(int fd, C &x, bool dimensions=1) {x.get(fd,dimensions);}
static void multiput(unsigned int n,int fd, const C *x, bool dimensions=1) {for(unsigned int i=0; i<n; ++i) x[i].put(fd,dimensions);} \
static void multiget(unsigned int n,int fd, C *x, bool dimensions=1) {for(unsigned int i=0; i<n; ++i) x[i].get(fd,dimensions);} \
};
//the final traits class
template<typename C>
struct LA_traits : LA_traits_aux<C, typename isscalar<C>::scalar_type> {};
#endif

26
laerror.cc
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@ -1,16 +1,30 @@
// LA errorr handler
// LA and general error handler
#include <iostream>
#include "laerror.h"
#include <stdio.h>
#include <errno.h>
void laerror(const char *s1)
{
std::cerr << "LA:ERROR - ";
if(!s1)
std::cerr << "udefined.\n";
else {
if(s1) std::cerr << s1;
std::cerr << "\n";
std::cout << "LA:ERROR - ";
if(s1)
{
std::cerr << s1 << "\n";
std::cout << s1 << "\n";
}
if(errno) perror("system error");
throw LAerror(s1);
exit(1);
}
//stub for f77 blas called from strassen routine
extern "C" void xerbla_(const char name[6], int *n)
{
char msg[128];
strcpy(msg,"LAPACK or BLAS error in routine ");
strncat(msg,name,6);
sprintf(msg+strlen(msg),": illegal value of parameter #%d",*n);
laerror(msg);
}

52
mat.cc
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@ -1,4 +1,12 @@
#include "mat.h"
#include <stdlib.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <fcntl.h>
extern "C" {
extern ssize_t read(int, void *, size_t);
extern ssize_t write(int, const void *, size_t);
}
// TODO :
//
@ -14,6 +22,48 @@ template NRMat<char>;
* Templates first, specializations for BLAS next
*/
//raw I/O
template <typename T>
void NRMat<T>::put(int fd, bool dim) const
{
errno=0;
if(dim)
{
if(sizeof(int) != write(fd,&nn,sizeof(int))) laerror("cannot write");
if(sizeof(int) != write(fd,&mm,sizeof(int))) laerror("cannot write");
}
LA_traits<T>::multiput(nn*mm,fd,
#ifdef MATPTR
v[0]
#else
v
#endif
,dim);
}
template <typename T>
void NRMat<T>::get(int fd, bool dim)
{
int nn0,mm0;
errno=0;
if(dim)
{
if(sizeof(int) != read(fd,&nn0,sizeof(int))) laerror("cannot read");
if(sizeof(int) != read(fd,&mm0,sizeof(int))) laerror("cannot read");
resize(nn0,mm0);
}
else
copyonwrite();
LA_traits<T>::multiget(nn*mm,fd,
#ifdef MATPTR
v[0]
#else
v
#endif
,dim);
}
// Assign diagonal
@ -817,7 +867,7 @@ istream& operator>>(istream &s, NRMat<T> &x)
return s;
}
//direct sum and product (oplus, otimes) to be done

29
mat.h
View File

@ -3,6 +3,7 @@
#include "vec.h"
#include "smat.h"
#include "la_traits.h"
template <typename T>
class NRMat {
@ -29,6 +30,12 @@ public:
NRMat(const NRVec<T> &rhs, const int n, const int m);
#endif
~NRMat();
#ifdef MATPTR
const bool operator!=(const NRMat &rhs) const {if(nn!=rhs.nn || mm!=rhs.mm) return 1; return(memcmp(v[0],rhs.v[0],nn*mm*sizeof(T)));}
#else
const bool operator!=(const NRMat &rhs) const {if(nn!=rhs.nn || mm!=rhs.mm) return 1; return(memcmp(v,rhs.v,nn*mm*sizeof(T)));}
#endif
const bool operator==(const NRMat &rhs) const {return !(*this != rhs);};
inline int getcount() const {return count?*count:0;}
NRMat & operator=(const NRMat &rhs); //assignment
NRMat & operator=(const T &a); //assign a to diagonal
@ -50,6 +57,8 @@ public:
inline const NRMat operator-(const NRSMat<T> &rhs) const;
const T dot(const NRMat &rhs) const; // scalar product of Mat.Mat
const NRMat operator*(const NRMat &rhs) const; // Mat * Mat
const NRMat oplus(const NRMat &rhs) const; //direct sum
const NRMat otimes(const NRMat &rhs) const; //direct product
void diagmultl(const NRVec<T> &rhs); //multiply by a diagonal matrix from L
void diagmultr(const NRVec<T> &rhs); //multiply by a diagonal matrix from R
const NRMat operator*(const NRSMat<T> &rhs) const; // Mat * Smat
@ -65,6 +74,8 @@ public:
inline const T& operator()(const int i, const int j) const;
inline int nrows() const;
inline int ncols() const;
void get(int fd, bool dimensions=1);
void put(int fd, bool dimensions=1) const;
void copyonwrite();
void resize(const int n, const int m);
inline operator T*(); //get a pointer to the data
@ -446,9 +457,24 @@ template <typename T>
void NRMat<T>::resize(const int n, const int m)
{
#ifdef DEBUG
if (n<=0 || m<=0) laerror("illegal dimensions in Mat::resize()");
if (n<0 || m<0 || n>0 && m==0 || n==0 && m>0) laerror("illegal dimensions in Mat::resize()");
#endif
if (count)
{
if(n==0 && m==0)
{
if(--(*count) <= 0) {
#ifdef MATPTR
if(v) delete[] (v[0]);
#endif
if(v) delete[] v;
delete count;
}
count=0;
nn=mm=0;
v=0;
return;
}
if (*count > 1) {
(*count)--;
count = 0;
@ -456,6 +482,7 @@ void NRMat<T>::resize(const int n, const int m)
nn = 0;
mm = 0;
}
}
if (!count) {
count = new int;
*count = 1;

15
matexp.h
View File

@ -6,7 +6,6 @@
// is defined containing definition of an element type, norm and axpy operation
#include "la_traits.h"
#include "sparsemat_traits.h"
template<class T,class R>
const T polynom2(const T &x, const NRVec<R> &c)
@ -68,7 +67,7 @@ for(i=0; i<=n/m;i++)
if(k>n) break;
if(j==0) {if(i==0) s=x; /*just to get the dimensions of the matrix*/ s=c[k]; /*create diagonal matrix*/}
else
NRMat_traits<T>::axpy(s,xpows[j-1],c[k]); //general s+=xpows[j-1]*c[k]; but more efficient for matrices
LA_traits<T>::axpy(s,xpows[j-1],c[k]); //general s+=xpows[j-1]*c[k]; but more efficient for matrices
}
if(i==0) {r=s; f=xpows[m-1];}
@ -125,7 +124,7 @@ template<class T>
const T ipow( const T &x, int i)
{
if(i<0) laerror("negative exponent in ipow");
if(i==0) {T r=x; r=(T)1; return r;}//trick for matrix dimension
if(i==0) {T r=x; r=(typename LA_traits<T>::elementtype)1; return r;}//trick for matrix dimension
if(i==1) return x;
T y,z;
z=x;
@ -153,7 +152,7 @@ return int(ceil(log(n)/log2-log(.75)));
template<class T>
NRVec<typename NRMat_traits<T>::elementtype> exp_aux(const T &x, int &power)
NRVec<typename LA_traits<T>::elementtype> exp_aux(const T &x, int &power)
{
//should better be computed by mathematica to have accurate last digits, chebyshev instead, see exp in glibc
static double exptaylor[]={
@ -179,7 +178,7 @@ static double exptaylor[]={
8.2206352466243294955e-18,
4.1103176233121648441e-19,
0.};
double mnorm= NRMat_traits<T>::norm(x);
double mnorm= LA_traits<T>::norm(x);
power=nextpow2(mnorm);
double scale=exp(-log(2.)*power);
@ -198,7 +197,7 @@ while(t*exptaylor[n]>precision);//taylor 0 will terminate in any case
int i; //adjust the coefficients in order to avoid scaling the argument
NRVec<typename NRMat_traits<T>::elementtype> taylor2(n+1);
NRVec<typename LA_traits<T>::elementtype> taylor2(n+1);
for(i=0,t=1.;i<=n;i++)
{
taylor2[i]=exptaylor[i]*t;
@ -215,7 +214,7 @@ const T exp(const T &x)
int power;
//prepare the polynom of and effectively scale T
NRVec<typename NRMat_traits<T>::elementtype> taylor2=exp_aux(x,power);
NRVec<typename LA_traits<T>::elementtype> taylor2=exp_aux(x,power);
T r=polynom(x,taylor2); //for accuracy summing from the smallest terms up would be better, but this is more efficient for matrices
@ -233,7 +232,7 @@ const V exptimes(const M &mat, V vec) //uses just matrix vector multiplication
if(mat.nrows()!=mat.ncols()||(unsigned int) mat.nrows() != (unsigned int)vec.size()) laerror("inappropriate sizes in exptimes");
int power;
//prepare the polynom of and effectively scale the matrix
NRVec<typename NRMat_traits<M>::elementtype> taylor2=exp_aux(mat,power);
NRVec<typename LA_traits<M>::elementtype> taylor2=exp_aux(mat,power);
V result(mat.nrows());
for(int i=1; i<=(1<<power); ++i) //unfortunatelly, here we have to repeat it many times, unlike if the matrix is stored explicitly

4
nonclass.h
View File

@ -107,9 +107,9 @@ const NRMat<T> inverse(NRMat<T> a, T *det=0)
//general determinant
template<class MAT>
const typename NRMat_traits<MAT>::elementtype determinant(MAT a)//again passed by value
const typename LA_traits<MAT>::elementtype determinant(MAT a)//again passed by value
{
typename NRMat_traits<MAT>::elementtype det;
typename LA_traits<MAT>::elementtype det;
if(a.nrows()!=a.ncols()) laerror("determinant of non-square matrix");
linear_solve(a,NULL,&det);
return det;

37
smat.cc
View File

@ -1,4 +1,12 @@
#include "smat.h"
#include <stdlib.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <fcntl.h>
extern "C" {
extern ssize_t read(int, void *, size_t);
extern ssize_t write(int, const void *, size_t);
}
// TODO
// specialize unary minus
@ -17,6 +25,35 @@ template NRSMat<char>;
*
*/
//raw I/O
template <typename T>
void NRSMat<T>::put(int fd, bool dim) const
{
errno=0;
if(dim)
{
if(sizeof(int) != write(fd,&nn,sizeof(int))) laerror("cannot write");
if(sizeof(int) != write(fd,&nn,sizeof(int))) laerror("cannot write");
}
LA_traits<T>::multiput(NN2,fd,v,dim);
}
template <typename T>
void NRSMat<T>::get(int fd, bool dim)
{
int nn0[2]; //align at least 8-byte
errno=0;
if(dim)
{
if(2*sizeof(int) != read(fd,&nn0,2*sizeof(int))) laerror("cannot read");
resize(nn0[0]);
}
else
copyonwrite();
LA_traits<T>::multiget(NN2,fd,v,dim);
}
// conversion ctor, symmetrize general Mat into SMat
template <typename T>
NRSMat<T>::NRSMat(const NRMat<T> &rhs)

21
smat.h
View File

@ -3,6 +3,7 @@
#include "vec.h"
#include "mat.h"
#include "la_traits.h"
#define NN2 (nn*(nn+1)/2)
template <class T>
@ -25,6 +26,8 @@ public:
NRSMat & operator|=(const NRSMat &rhs); //assignment to a new copy
NRSMat & operator=(const NRSMat &rhs); //assignment
NRSMat & operator=(const T &a); //assign a to diagonal
const bool operator!=(const NRSMat &rhs) const {if(nn!=rhs.nn) return 1; return(memcmp(v,rhs.v,NN2*sizeof(T)));}
const bool operator==(const NRSMat &rhs) const {return !(*this != rhs);};
inline NRSMat & operator*=(const T &a);
inline NRSMat & operator+=(const T &a);
inline NRSMat & operator-=(const T &a);
@ -54,6 +57,8 @@ public:
void axpy(const T alpha, const NRSMat &x); // this+= a*x
inline const T amax() const;
const T trace() const;
void get(int fd, bool dimensions=1);
void put(int fd, bool dimensions=1) const;
void copyonwrite();
void resize(const int n);
inline operator T*(); //get a pointer to the data
@ -396,15 +401,29 @@ template <typename T>
void NRSMat<T>::resize(const int n)
{
#ifdef DEBUG
if (n <= 0) laerror("illegal matrix dimension in resize of Smat");
if (n < 0) laerror("illegal matrix dimension in resize of Smat");
#endif
if (count)
{
if(n==0)
{
if(--(*count) <= 0) {
if(v) delete[] (v);
delete count;
}
count=0;
nn=0;
v=0;
return;
}
if(*count > 1) { //detach from previous
(*count)--;
count = 0;
v = 0;
nn = 0;
}
}
if (!count) { //new uninitialized vector or just detached
count = new int;
*count = 1;

154
sparsemat.cc
View File

@ -2,7 +2,10 @@
#include <cmath>
#include <complex>
#include <iostream>
#include <stdlib.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <fcntl.h>
#include "sparsemat.h"
//////////////////////////////////////////////////////////////////////////////
@ -56,6 +59,72 @@ istream& operator>>(istream &s, SparseMat<T> &x)
return s;
}
extern "C" {
extern ssize_t read(int, void *, size_t);
extern ssize_t write(int, const void *, size_t);
}
export template <class T>
void SparseMat<T>::get(int fd, bool dimen)
{
errno=0;
SPMatindex dim[2];
if(dimen)
{
if(2*sizeof(SPMatindex) != read(fd,&dim,2*sizeof(SPMatindex))) laerror("cannot read");
resize(dim[0],dim[1]);
int symnon[2];
if(2*sizeof(int) != read(fd,&symnon,2*sizeof(int))) laerror("cannot read");
symmetric=symnon[0];
nonzero=symnon[1];
}
else
copyonwrite();
matel<T> *l=NULL;
do
{
if(2*sizeof(SPMatindex) != read(fd,&dim,2*sizeof(SPMatindex))) laerror("cannot read");
if(dim[0]+1==0 && dim[1]+1==0) break;
matel<T> *ll = l;
l= new matel<T>;
l->next= ll;
l->row=dim[0];
l->col=dim[1];
LA_traits<T>::get(fd,l->elem,dimen); //general way to work when elem is some complex class again
} while(1);
list=l;
}
export template <class T>
void SparseMat<T>::put(int fd,bool dimen) const
{
errno=0;
if(dimen)
{
if(sizeof(SPMatindex) != write(fd,&nn,sizeof(SPMatindex))) laerror("cannot write");
if(sizeof(SPMatindex) != write(fd,&mm,sizeof(SPMatindex))) laerror("cannot write");
int symnon[2];
symnon[0]=symmetric;
symnon[1]=nonzero;
if(2*sizeof(int) != write(fd,symnon,2*sizeof(int))) laerror("cannot write");
}
matel<T> *l=list;
while(l)
{
if(sizeof(SPMatindex) != write(fd,&l->row,sizeof(SPMatindex))) laerror("cannot write");
if(sizeof(SPMatindex) != write(fd,&l->col,sizeof(SPMatindex))) laerror("cannot write");
LA_traits<T>::put(fd,l->elem,dimen);//general way to work when elem is some non-scalar class again
l=l->next;
}
SPMatindex sentinel[2];
sentinel[0]=sentinel[1]=(SPMatindex) -1;
if(2*sizeof(SPMatindex) != write(fd,&sentinel,2*sizeof(SPMatindex))) laerror("cannot write");
}
//helpers to be used from different functions
export template <class T>
void SparseMat<T>::unsort()
@ -314,21 +383,35 @@ unsort(); //since there were NULLs introduced, rowsorted is not dense
export template <class T>
void SparseMat<T>::resize(const SPMatindex n, const SPMatindex m)
{
if(n<=0 || m<=0) laerror("illegal matrix dimension");
unsort();
if(count)
{
if(*count > 1) {(*count)--; count=NULL; list=NULL;} //detach from previous
else if(*count==1) deletelist();
if(count) delete count;
}
nn=n;
mm=m;
count=new int(1); //empty but defined matrix
if(nn||mm) count=new int(1); //empty but defined matrix
list=NULL;
symmetric=0;
nonzero=0;
colsorted=rowsorted=NULL;
}
export template <class T>
void SparseMat<T>::incsize(const SPMatindex n, const SPMatindex m)
{
if(symmetric && n!=m) laerror("unsymmetric size increment of a symmetric sparsemat");
if(!count && nn==0 && mm==0) count=new int(1);
copyonwrite();//this errors if !count
unsort();
nn+=n;
mm+=m;
}
export template <class T>
void SparseMat<T>::addsafe(const SPMatindex n, const SPMatindex m, const T elem)
{
@ -1072,17 +1155,80 @@ for(i=0; i<na;i++)
simplify();
}
//direct sum and product -- only partly implemented at the moment
export template<typename T>
SparseMat<T> & SparseMat<T>::oplusequal(const NRMat<T> &rhs)
{
if(issymmetric()) laerror("oplusequal symmetric-unsymmetric");
SPMatindex n0=nn;
SPMatindex m0=mm;
incsize(rhs.nrows(), rhs.ncols());
T tmp;
for(SPMatindex i=0; i<(SPMatindex)rhs.nrows(); ++i)
for(SPMatindex j=0; j<(SPMatindex)rhs.ncols(); ++j)
#ifdef SPARSEEPSILON
if(abs(tmp=rhs(i,j))>SPARSEEPSILON) add(n0+i,m0+j,tmp);
#else
if((tmp=rhs(i,j))!=(T)0) add(n0+i,m0+j,tmp);
#endif
return *this;
}
export template<typename T>
SparseMat<T> & SparseMat<T>::oplusequal(const NRSMat<T> &rhs)
{
if(!issymmetric()) laerror("oplusequal symmetric-unsymmetric");
SPMatindex n0=nn;
SPMatindex m0=mm;
T tmp;
incsize(rhs.nrows(), rhs.ncols());
for(SPMatindex i=0; i<(SPMatindex)rhs.nrows(); ++i)
for(SPMatindex j=0; j<(SPMatindex)rhs.ncols(); ++j)
#ifdef SPARSEEPSILON
if(abs(tmp=rhs(i,j))>SPARSEEPSILON) add(n0+i,m0+j,tmp);
#else
if((tmp=rhs(i,j))!=(T)0) add(n0+i,m0+j,tmp);
#endif
return *this;
}
export template <class T>
SparseMat<T> & SparseMat<T>::oplusequal(const SparseMat<T> &rhs)
{
if(symmetric != rhs.symmetric) laerror("incompatible symmetry of sparsemats in oplusequal");
if(!count) {count=new int; *count=1; list=NULL;}
SPMatindex n0=nn;
SPMatindex m0=mm;
incsize(rhs.nrows(), rhs.ncols());
register matel<T> *l=rhs.list;
while(l)
{
#ifdef SPARSEEPSILON
if(abs(l->elem)>SPARSEEPSILON)
#endif
add(n0+l->row,m0+l->col,l->elem);
l=l->next;
}
return *this;
}
#ifdef _GLIBCPP_NO_TEMPLATE_EXPORT
#define INSTANTIZE(T) \
template SparseMat<T> & SparseMat<T>::oplusequal(const SparseMat<T> &rhs);\
template SparseMat<T> & SparseMat<T>::oplusequal(const NRMat<T> &rhs);\
template SparseMat<T> & SparseMat<T>::oplusequal(const NRSMat<T> &rhs);\
template ostream& operator<<(ostream &s, const SparseMat<T> &x); \
template istream& operator>>(istream &s, SparseMat<T> &x); \
template void SparseMat<T>::get(int fd, bool dimen); \
template void SparseMat<T>::put(int fd, bool dimen) const; \
template void SparseMat<T>::copyonwrite(); \
template void SparseMat<T>::resize(const SPMatindex n, const SPMatindex m); \
template void SparseMat<T>::unsort(); \
template void SparseMat<T>::resize(const SPMatindex n, const SPMatindex m); \
template void SparseMat<T>::incsize(const SPMatindex n, const SPMatindex m); \
template unsigned int SparseMat<T>::sort(int type) const; \
template unsigned int SparseMat<T>::length() const; \
template void SparseMat<T>::deletelist(); \

14
sparsemat.h
View File

@ -90,6 +90,15 @@ public:
inline const NRVec<T> operator*(const NRVec<T> &rhs) const {return multiplyvector(rhs);} //sparse matrix * dense vector
void diagonalof(NRVec<T> &, const bool divide=0) const; //get diagonal
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
@ -99,7 +108,10 @@ public:
void setlist(matel<T> *l) {list=l;}
inline SPMatindex nrows() const {return nn;}
inline SPMatindex ncols() const {return mm;}
void resize(const SPMatindex n, const SPMatindex m);
void get(int fd, bool dimensions=1);
void put(int fd, bool dimensions=1) const;
void resize(const SPMatindex n, const SPMatindex m); //destructive
void incsize(const SPMatindex n, const SPMatindex m); //increase size without destroying the data
void transposeme();
const SparseMat transpose() const;
inline void setsymmetric() {if(nn!=mm) laerror("non-square cannot be symmetric"); symmetric=1;}

7
strassen.cc
View File

@ -22,10 +22,3 @@ copyonwrite();
fmm(transb,transa,mm,nn,k,alpha,b,b.mm, a, a.mm, beta,*this, mm,NULL,0);
}
//stub for f77 blas called from strassen routine
extern "C" void xerbla_(const char *msg)
{
laerror(msg);
}

51
vec.cc
View File

@ -1,5 +1,14 @@
#include <iostream>
#include "vec.h"
#include <stdlib.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <fcntl.h>
extern "C" {
extern ssize_t read(int, void *, size_t);
extern ssize_t write(int, const void *, size_t);
}
//////////////////////////////////////////////////////////////////////////////
//// forced instantization in the corespoding object file
@ -10,7 +19,11 @@ template istream & operator>>(istream &s, NRVec< T > &x); \
INSTANTIZE(double)
INSTANTIZE(complex<double>)
INSTANTIZE(int)
INSTANTIZE(unsigned int)
INSTANTIZE(short)
INSTANTIZE(unsigned short)
INSTANTIZE(char)
INSTANTIZE(unsigned char)
template NRVec<double>;
template NRVec<complex<double> >;
template NRVec<int>;
@ -36,7 +49,7 @@ NRVec<T>::NRVec(const NRMat<T> &rhs)
// ostream << NRVec
// formatted I/O
template <typename T>
ostream & operator<<(ostream &s, const NRVec<T> &x)
{
@ -48,7 +61,6 @@ ostream & operator<<(ostream &s, const NRVec<T> &x)
return s;
}
// istream >> NRVec
template <typename T>
istream & operator>>(istream &s, NRVec<T> &x)
{
@ -60,6 +72,39 @@ istream & operator>>(istream &s, NRVec<T> &x)
return s;
}
//raw I/O
template <typename T>
void NRVec<T>::put(int fd, bool dim) const
{
errno=0;
int pad=1; //align at least 8-byte
if(dim)
{
if(sizeof(int) != write(fd,&nn,sizeof(int))) laerror("cannot write");
if(sizeof(int) != write(fd,&pad,sizeof(int))) laerror("cannot write");
}
LA_traits<T>::multiput(nn,fd,v,dim);
}
template <typename T>
void NRVec<T>::get(int fd, bool dim)
{
int nn0[2]; //align at least 8-byte
errno=0;
if(dim)
{
if(2*sizeof(int) != read(fd,&nn0,2*sizeof(int))) laerror("cannot read");
resize(nn0[0]);
}
else
copyonwrite();
LA_traits<T>::multiget(nn,fd,v,dim);
}
// formatted print for NRVec
template<typename T>
void NRVec<T>::fprintf(FILE *file, const char *format, const int modulo) const
@ -68,7 +113,7 @@ void NRVec<T>::fprintf(FILE *file, const char *format, const int modulo) const
}
// formatted scan for NRVec
template <class T>
template <typename T>
void NRVec<T>::fscanf(FILE *f, const char *format)
{
int n;

22
vec.h
View File

@ -2,7 +2,6 @@
#define _LA_VEC_H_
#include "laerror.h"
extern "C" {
#include "cblas.h"
}
@ -13,6 +12,8 @@ extern "C" {
using namespace std;
#include "la_traits.h"
template <typename T> class NRVec;
template <typename T> class NRSMat;
template <typename T> class NRMat;
@ -69,6 +70,8 @@ public:
NRVec & operator=(const NRVec &rhs);
NRVec & operator=(const T &a); //assign a to every element
NRVec & operator|=(const NRVec &rhs);
const bool operator!=(const NRVec &rhs) const {if(nn!=rhs.nn) return 1; return(memcmp(v,rhs.v,nn*sizeof(T)));}
const bool operator==(const NRVec &rhs) const {return !(*this != rhs);};
const NRVec operator-() const;
inline NRVec & operator+=(const NRVec &rhs);
inline NRVec & operator-=(const NRVec &rhs);
@ -99,6 +102,8 @@ public:
const T alpha, const NRVec &x);
void copyonwrite();
void resize(const int n);
void get(int fd, bool dimensions=1);
void put(int fd, bool dimensions=1) const;
NRVec & normalize();
inline const double norm() const;
inline const T amax() const;
@ -495,15 +500,28 @@ template <typename T>
void NRVec<T>::resize(const int n)
{
#ifdef DEBUG
if(n<=0) laerror("illegal vector dimension");
if(n<0) laerror("illegal vector dimension");
#endif
if(count)
{
if(n==0)
{
if(--(*count) <= 0) {
if(v) delete[] (v);
delete count;
}
count=0;
nn=0;
v=0;
return;
}
if(*count > 1) {
(*count)--;
count = 0;
v = 0;
nn = 0;
}
}
if(!count) {
count = new int;
*count = 1;