young operator implemented as permutation algebra type
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@ -1632,8 +1632,6 @@ return _character<T>;
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////generation of the young operator
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template <typename T>
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void (*_young_operator_callback)(const NRPerm<T>&p, const T parity, const PERM_RANK_TYPE nterms);
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template <typename T>
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static NRPerm<T> _aperm;
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@ -1655,6 +1653,9 @@ static PERM_RANK_TYPE _nyoungterms, _expectterms;
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template <typename T>
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static T _antparity;
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template <typename T, typename R>
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PermutationAlgebra<T,R> *_young_r;
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template <typename T>
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@ -1663,8 +1664,9 @@ static void symetr(T ilin, T iel)
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if(ilin > (*_tyou_cols<T>)[1])
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{
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(*_young_r<T,T>)[_nyoungterms].weight = _antparity<T>;
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(*_young_r<T,T>)[_nyoungterms].perm = _aperm<T>*_sperm<T>;
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++_nyoungterms;
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(*_young_operator_callback<T>)(_aperm<T>*_sperm<T>,_antparity<T>,_expectterms);
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}
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else if(iel > (*_tyou_rows<T>)[ilin]) symetr(ilin+1,(T)1);
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else
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@ -1715,14 +1717,12 @@ else
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template <typename T>
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PERM_RANK_TYPE YoungTableaux<T>::young_operator(void (*callback)(const NRPerm<T>&p, const T parity, const PERM_RANK_TYPE nterms)) const
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PermutationAlgebra<T,T> YoungTableaux<T>::young_operator() const
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{
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#ifdef DEBUG
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if(!this->is_standard()) laerror("young_operator called for non-standard tableaux");
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#endif
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_young_operator_callback<T> = callback;
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_nyoungterms =0;
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_tyou<T> = this;
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Partition<T> rows=Partition<T>(*this);
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@ -1739,11 +1739,14 @@ _expectterms=1;
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for(int i=1;i<=cols[1];i++) _expectterms *= factorial(rows[i]);
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for(int i=1;i<=rows[1];i++) _expectterms *= factorial(cols[i]);
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PermutationAlgebra<T,T> r(_expectterms);
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_young_r<T,T> = &r;
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antisym<T>(1,1);
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if(_nyoungterms!=_expectterms) laerror("youngconstruct: inconsistent number of terms");
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return _nyoungterms;
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return r;
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}
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@ -1943,14 +1946,17 @@ template std::ostream & operator<<(std::ostream &s, const Sn_characters<T> &x);
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#define INSTANTIZE2(T,R) \
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template class WeightPermutation<T,R>; \
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template class PermutationAlgebra<T,R>; \
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template std::istream & operator>>(std::istream &s, WeightPermutation<T,R> &x); \
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template std::ostream & operator<<(std::ostream &s, const WeightPermutation<T,R> &x); \
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INSTANTIZE(int)
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INSTANTIZE(unsigned int)
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INSTANTIZE2(int,int)
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INSTANTIZE2(int,double)
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}//namespace
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@ -29,6 +29,8 @@ typedef unsigned long long PERM_RANK_TYPE;
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//permutations are always numbered from 1; offset is employed when applied to vectors and matrices
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//TODO@@@ permutace - substitute jako multiplikace ale x[p[i]] = y[i] kde ale x a y nejsou prave permutace
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namespace LA {
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@ -91,16 +93,33 @@ public:
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};
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template <typename T, typename R>
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std::istream & operator>>(std::istream &s, WeightPermutation<T,R> &x)
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{
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s>>x.weight>>x.perm;
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return s;
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}
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template <typename T, typename R>
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std::ostream & operator<<(std::ostream &s, const WeightPermutation<T,R> &x)
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{
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s<<x.weight<<' '<<x.perm<<' ';
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return s;
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}
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template <typename T, typename R>
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class PermutationAlgebra : public NRVec<WeightPermutation<T,R> >
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{
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public:
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PermutationAlgebra() {};
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PermutationAlgebra(const YoungTableaux<T> &y);// Young antisymmetrizer TODO@@@
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PermutationAlgebra(int n) : NRVec<WeightPermutation<T,R> >(n) {};
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};
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//TODO@@@ iostream for WeightPermutation and PermutationAlgebra
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//TODO@@@ basic operators for the algebra, possibly also simplification after operation
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//TODO@@@ permutationalgebra for Kucharski style antisymmetrizers
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@ -241,7 +260,7 @@ public:
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NRVec_from1<T> yamanouchi() const; //yamanouchi symbol
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T character_contribution(int ncyc=0) const; //contribution of filled tableaux to Sn character
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PERM_RANK_TYPE generate_all_standard(void (*callback)(const YoungTableaux<T>&));
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PERM_RANK_TYPE young_operator(void (*callback)(const NRPerm<T>&p, const T parity, const PERM_RANK_TYPE nterms)) const; //generate young operator for a standard tableaux
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PermutationAlgebra<T,T> young_operator() const; //generate young operator for a standard tableaux
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};
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13
t.cc
13
t.cc
@ -91,16 +91,11 @@ cout<<p;
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static int unitary_n;
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static PERM_RANK_TYPE space_dim;
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void yyprintme(const NRPerm<int>&p, const int parity, const PERM_RANK_TYPE nterms)
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{
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cout<< parity<<"/"<<nterms<<" "<<p;
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}
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void yprintme(const YoungTableaux<int>&y)
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{
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cout <<y;
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if(!y.is_standard()) laerror("internal error in young");
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y.young_operator(yyprintme);
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cout << y.young_operator();
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}
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void pprintme(const Partition<int> &p)
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@ -2216,7 +2211,7 @@ int tot=p.generate_all_multi(printme0);
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cout <<"generated "<<tot<<endl;
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}
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if(1)
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if(0)
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{
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int n; cin >>n;
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NRPerm<int> p(n);
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@ -2227,9 +2222,9 @@ cout <<"generated "<<tot<<endl;
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}
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if(0)
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if(1)
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{
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int n,unitary_n;;
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int n;;
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cin >>n >>unitary_n;
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Partition<int> p(n);
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space_dim=0;
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