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#ifndef POWER_SERIES_HEADER
#define POWER_SERIES_HEADER
#include "kernel/mod2.h"
#include "Poly.h"
template <class traits> class PowerSeriesInputIterator:
public std::
iterator<
std::input_iterator_tag,
typename traits::expansion_type,
int,
shared_ptr<const typename traits::expansion_type>,
const typename traits::expansion_type
>
{
private:
typedef typename traits::denominator_type denominator_type;
typedef typename traits::numerator_type numerator_type;
typedef typename traits::expansion_type expansion_type;
denominator_type denominator;
numerator_type numerator;
denominator_type toPot;
int state;
expansion_type data;
denominator_type lastPot;
public:
PowerSeriesInputIterator(numerator_type num_arg,
denominator_type den_arg):
data(den_arg.getRing()),
lastPot(den_arg.getRing()),
numerator(num_arg),
denominator(den_arg)
{
ring r=denominator.getRing();
//not the lead coef Number c=denominator.leadCoef();
Number c(1,r);
typename traits::denominator_type::iterator it=denominator.begin();
typename traits::denominator_type::iterator end=denominator.end();
while(it!=end)
{
if ((*it).isConstant())
{
//change this type
c=denominator_type(*it).leadCoef();
break;
}
++it;
}
c=Number(1,r)/c;
numerator*=c;
denominator*=c;
toPot=denominator+denominator_type(-1,r);
toPot*=Number(-1,r);
//change this type
lastPot=denominator_type(1,r);
data=numerator;
state=0;
}
PowerSeriesInputIterator()
{
state=-1;
}
void shorten()
{
typename expansion_type::iterator it=data.begin();
typename expansion_type::iterator end=data.end();
ring r=data.getRing();
expansion_type remove(r);
while(it!=end)
{
if(it->lmTotalDegree()<state)
{
remove+=expansion_type(*it);
}
it++;
}
remove*=Number(-1,r);
data+=remove;
}
expansion_type getValue()
{
typename expansion_type::iterator it=data.begin();
typename expansion_type::iterator end=data.end();
ring r=data.getRing();
expansion_type res(r);
while(it!=end)
{
if(it->lmTotalDegree()==state)
{
res+=expansion_type(*it);
}
it++;
}
return res;
}
PowerSeriesInputIterator& operator++()
{
state++;
shorten();
lastPot*=toPot;
data+=lastPot*numerator;
return *this;
}
//bad if this are iterators for different PowerSeries
bool operator==(const PowerSeriesInputIterator& t2)
{
return state==t2.state;
}
bool operator!=(const PowerSeriesInputIterator& t2)
{
return state!=t2.state;
}
PowerSeriesInputIterator operator++(int)
{
PowerSeriesInputIterator it(*this);
++(*this);
return it;
}
const expansion_type operator*()
{
return expansion_type(getValue());
}
shared_ptr<const expansion_type> operator->()
{
return shared_ptr<const expansion_type>(new expansion_type(getValue()));
}
};
template<class traits> class PowerSeriesBase
{
public:
typedef typename traits::denominator_type denominator_type;
typedef typename traits::numerator_type numerator_type;
protected:
denominator_type denominator;
numerator_type numerator;
public:
PowerSeriesBase(){}
PowerSeriesBase(const numerator_type &a, const denominator_type & b):numerator(a),denominator(b)
{
assume(a.getRing()==b.getRing());
//asume b!=NULL
}
typedef PowerSeriesInputIterator<traits> iterator;
iterator begin()
{
return iterator(numerator,denominator);
}
iterator end()
{
return iterator();
}
};
class PowerSeriesPolyTraits;
class PowerSeriesVectorTraits;
typedef PowerSeriesBase<PowerSeriesPolyTraits> PowerSeries;
typedef PowerSeriesBase<PowerSeriesVectorTraits> VectorPowerSeries;
class PowerSeriesPolyTraits
{
public:
typedef Poly numerator_type;
typedef Poly denominator_type;
typedef PowerSeries create_type;
typedef Poly expansion_type;
};
class PowerSeriesVectorTraits
{
public:
typedef Vector numerator_type;
typedef Poly denominator_type;
typedef VectorPowerSeries create_type;
typedef Vector expansion_type;
};
#endif
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