From 222c1cfb8cf65436ce293fe98209aed5c85f5cbc Mon Sep 17 00:00:00 2001
From: Jiri Pittner <jiri@pittnerovi.com>
Date: Sun, 23 May 2021 10:28:50 +0200
Subject: [PATCH] continue on partitions

---
 permutation.cc | 26 ++++++++++++++++++++++++++
 permutation.h  |  9 ++++++---
 t.cc           |  7 ++++---
 3 files changed, 36 insertions(+), 6 deletions(-)

diff --git a/permutation.cc b/permutation.cc
index b8fe706..1fa1c95 100644
--- a/permutation.cc
+++ b/permutation.cc
@@ -826,6 +826,28 @@ partgen<T>(n,1);
 return partitioncount;
 }
 
+
+template <typename T>
+std::ostream & operator<<(std::ostream &s, const CompressedPartition<T> &x)
+{
+int n=x.size();
+T sum=0;
+for(int i=n; i>0;--i)
+	if(x[i])
+		{
+		s<<i;
+		if(x[i]>1) s<<'^'<<x[i];
+		sum+= i*x[i];
+		if(sum<n) s<<',';
+		}
+return s;
+}
+
+
+
+
+//////////////////////////////////////////////////////////////////////////////////////
+
 template <typename T>
 YoungTableaux<T>::YoungTableaux(const Partition<T> &frame)
 : NRVec_from1<NRVec_from1<T> >()
@@ -839,6 +861,8 @@ for(int i=1; i<=nlines; ++i) (*this)[i].resize(frame[i]);
 }
 
 
+
+
 /***************************************************************************//**
  * forced instantization in the corresponding object file
  ******************************************************************************/
@@ -846,10 +870,12 @@ template class NRPerm<int>;
 template class CyclePerm<int>;
 template class CompressedPartition<int>;
 template class Partition<int>;
+template class YoungTableaux<int>;
 
 #define INSTANTIZE(T) \
 template std::istream & operator>>(std::istream &s, CyclePerm<T> &x); \
 template std::ostream & operator<<(std::ostream &s, const CyclePerm<T> &x); \
+template std::ostream & operator<<(std::ostream &s, const CompressedPartition<T> &x); \
 
 
 
diff --git a/permutation.h b/permutation.h
index 5aa38f5..ea6b2b3 100644
--- a/permutation.h
+++ b/permutation.h
@@ -108,10 +108,13 @@ public:
 	explicit CompressedPartition(const Partition<T> &rhs) : NRVec_from1<T>(rhs.size()) {this->clear(); for(int i=1; i<=rhs.size(); ++i) if(!rhs[i]) break; else (*this)[rhs[i]]++; }
 	PERM_RANK_TYPE Sn_class_size() const; 
 
-//@@@output formatted as in the group character table
 
 };
 
+template <typename T>
+std::ostream & operator<<(std::ostream &s, const CompressedPartition<T> &x);
+
+
 template <typename T>
 class Partition : public NRVec_from1<T> {
 public:
@@ -120,7 +123,7 @@ public:
         T nparts() const {T s=0; for(int i=1; i<=this->size(); ++i) if((*this)[i]) ++s; return s;}
         bool is_valid() const {if(this->size() != this->sum()) return false; for(int i=2; i<=this->size(); ++i) if((*this)[i]>(*this)[i-1]) return false; return true; }
 	explicit Partition(const CompressedPartition<T>  &rhs) : NRVec_from1<T>(rhs.size()) {this->clear(); int ithru=0; for(int i=rhs.size(); i>=1; --i) for(int j=0; j<rhs[i]; ++j) (*this)[++ithru]=i; }
-	Partition adjoint() const;
+	Partition adjoint() const; //also called conjugate partition
 	PERM_RANK_TYPE Sn_irrep_dim() const;
 	PERM_RANK_TYPE generate_all(void (*callback)(const Partition<T>&), int nparts=0); //nparts <0 means at most to -nparts
 
@@ -136,7 +139,7 @@ public:
         explicit YoungTableaux(const Partition<T> &frame);
 
 	bool is_valid() const; //@@@shape forms a partition
-        bool filled_correctly() const; //is it filled correctly
+        bool filled_correctly() const; //is it filled correctly@@@
 };
 
 
diff --git a/t.cc b/t.cc
index 56a2396..82f8493 100644
--- a/t.cc
+++ b/t.cc
@@ -70,12 +70,13 @@ for(int i=0; i<4; ++i)
 
 void pprintme(const Partition<int> &p)
 {
-cout<<p;
+CompressedPartition pc(p);
+cout<<'['<<pc<<"] ";
 Partition<int> q=p.adjoint();
 cout<<"IR dim "<<p.Sn_irrep_dim()<<endl;
-cout <<q;
 CompressedPartition qc(q);
-cout<<"Class size "<<qc.Sn_class_size()<<endl;
+cout <<"("<<qc<<')';
+cout<<" Class size "<<qc.Sn_class_size()<<endl;
 }