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jiri 2009-11-05 15:58:45 +00:00
parent e5351499fa
commit a086451dbb
1 changed files with 65 additions and 1 deletions
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66
matexp.h
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@ -204,7 +204,7 @@ static const double exptaylor[]={
template<class T, class C>
NRVec<C> exp_aux(const T &x, int &power,int maxpower= -1, int maxtaylor= -1, typename LA_traits<T>::elementtype prescale=1.)
NRVec<C> exp_aux(const T &x, int &power,int maxpower= -1, int maxtaylor= -1, C prescale=1.)
{
double mnorm= x.norm() * abs(prescale);
@ -370,6 +370,70 @@ return result;
template<class M, class V>
void sincostimes_simple(const M &mat, V &si, V &co, const V &rhs, const NRVec<typename LA_traits<V>::normtype> &taylors, const NRVec<typename LA_traits<V>::normtype> &taylorc, bool transpose, const typename LA_traits<V>::elementtype scale)
{
si=rhs * taylors[0];
co=rhs * taylorc[0];
V tmp=rhs;
for(int j=1; j<taylors.size(); ++j)
{
V tmp2(tmp.size());
//multiply by a square of the matrix
mat.gemv(0.,tmp2,transpose?'t':'n',scale,tmp);
mat.gemv(0.,tmp,transpose?'t':'n',scale,tmp2);
si.axpy(taylors[j],tmp);
co.axpy(taylorc[j],tmp);
}
mat.gemv(0.,tmp,transpose?'t':'n',scale,si);
si=tmp;
}
template<class M, class V>
void sincostimes_aux(const M &mat, V &si, V &co, const V &rhs, const NRVec<typename LA_traits<V>::normtype> &taylors, const NRVec<typename LA_traits<V>::normtype> &taylorc, bool transpose, const typename LA_traits<V>::elementtype scale, int power)
{
if(power==0) sincostimes_simple(mat,si,co,rhs,taylors,taylorc,transpose,scale);
else
{
V si2,co2; //no large memory allocated yet - size 0
sincostimes_aux(mat,si2,co2,rhs,taylors,taylorc,transpose,scale,power-1);
sincostimes_aux(mat,si,co,co2,taylors,taylorc,transpose,scale,power-1);
V ss,cs;
sincostimes_aux(mat,ss,cs,si2,taylors,taylorc,transpose,scale,power-1);
co -= ss;
si += cs;
}
}
template<class M, class V>
void sincostimes(const M &mat, V &si, V &co, const V &rhs, bool transpose=false, const typename LA_traits<V>::elementtype scale=1., int maxpower= -1, int maxtaylor= -1, bool mat_is_0=false) //uses just matrix vector multiplication
{
if(mat_is_0) //prevent returning a shallow copy of rhs
{
co = rhs;
LA_traits<V>::copyonwrite(co);
LA_traits<V>::clearme(si);
return;
}
if(mat.nrows()!=mat.ncols()||(unsigned int) mat.nrows() != (unsigned int)rhs.size()) laerror("inappropriate sizes in sincostimes");
//prepare the polynom of and effectively scale the matrix
int power;
NRVec<typename LA_traits<V>::normtype> taylors,taylorc;
sincos_aux<M,typename LA_traits<V>::normtype>(taylors,taylorc,mat,power,maxpower,maxtaylor,scale);
if(taylors.size()!=taylorc.size()) laerror("internal error - same size of sin and cos expansions assumed");
//the actual computation and resursive "squaring"
cout <<"TEST power "<<power<<endl;
sincostimes_aux(mat,si,co,rhs,taylors,taylorc,transpose,scale,power);
return;
}
//@@@ power series matrix logarithm?