From b63d56e3158c396085be3db964594b18f11222b6 Mon Sep 17 00:00:00 2001
From: Christian Zimmermann <christian.zimmermann@ur.de>
Date: Wed, 24 May 2017 19:01:02 +0200
Subject: [PATCH] ...continuing

---
 src/base_def.h               |   3 +
 src/index_base.cc            | 114 +++++++++++++++--------------------
 src/index_base.h             |  27 +++------
 src/multi_array_operation.cc |  17 +++---
 src/multi_array_operation.h  |  17 ++----
 src/multi_range.cc           |  82 +++++++++----------------
 src/multi_range.h            |  23 +++----
 src/range_base.cc            |   7 ++-
 src/range_base.h             |  22 +++++--
 9 files changed, 133 insertions(+), 179 deletions(-)

diff --git a/src/base_def.h b/src/base_def.h
index f502097..98ab87c 100644
--- a/src/base_def.h
+++ b/src/base_def.h
@@ -51,6 +51,9 @@ namespace MultiArrayTools
     // range_base.h
     class MultiRangeType;
 
+    // range_base.h
+    class IndefinitRangeBase;
+    
     // range_base.h
     template <class Index>
     class RangeBase;
diff --git a/src/index_base.cc b/src/index_base.cc
index 1d6307f..d530340 100644
--- a/src/index_base.cc
+++ b/src/index_base.cc
@@ -7,37 +7,68 @@ namespace MultiArrayTools
      *  IndefinitIndexBase  *
      ************************/
     
-    IndefinitIndexBase::~IndefinitIndexBase()
-    {
-	mMajor = nullptr;
-    }
-    
     size_t IndefinitIndexBase::pos() const
     {
 	//assert(not virt());
 	return static_cast<size_t>( mPos );
     }
-    
-    void IndefinitIndexBase::setPos(size_t pos)
+
+    bool IndefinitIndexBase::operator==(const IndefinitIndexBase& i) const
+    {
+	return rangeType() == in.rangeType() and pos() == in.pos();
+    }
+    
+    bool IndefinitIndexBase::operator!=(const IndefinitIndexBase& i) const
+    {
+	return rangeType() != in.rangeType() or pos() != in.pos();
+    }
+    
+    IndefinitIndexBase& IndefinitIndexBase::setPos(size_t pos, IndefinitIndexBase* ctrlPtr)
     {
-	//CHECK;
-	//assert(not virt());
 	mPos = pos;
+	for(auto mm: mMajor){
+	    if(mm.first == ctrlPtr){
+		continue;
+	    }
+	    mm.first->setPos(mm.first->pos() % mm.second + mm.second * pos, this);
+	}
+	return *this;
     }
 
-    void IndefinitIndexBase::setPosRel(int relPos)
+    IndefinitIndexBase& IndefinitIndexBase::setPosRel(int relPos, IndefinitIndexBase* ctrlPtr)
     {
 	mPos += relPos;
+	for(auto mm: mMajor){
+	    if(mm.first == ctrlPtr){
+		continue;
+	    }
+	    mm.first->setPosRel(mm.second * relPos, this);
+	}
+	return *this;
     }
-    // MAJOR INDEX UPDATE !!!!!
-    void IndefinitIndexBase::toFirst()
+
+    IndefinitIndexBase& IndefinitIndexBase::toFirst(IndefinitIndexBase* ctrlPtr)
     {
 	mPos = 0;
+	for(auto mm: mMajor){
+	    if(mm.first == ctrlPtr){
+		continue;
+	    }
+	    mm.first->setPos(mm.first->pos() % mm.second, this);
+	}
+	return *this;
     }
     
-    void IndefinitIndexBase::toLast()
+    IndefinitIndexBase& IndefinitIndexBase::toLast(IndefinitIndexBase* ctrlPtr)
     {
 	mPos = max() - 1;
+	for(auto mm: mMajor){
+	    if(mm.first == ctrlPtr){
+		continue;
+	    }
+	    mm.first->setPos(mm.first->pos() % mm.second + mm.second * mPos, this);
+	}
+	return *this;
     }
     
     int IndefinitIndexBase::outOfRange() const
@@ -58,49 +89,15 @@ namespace MultiArrayTools
 	return mPos == max();
     }
     
-    bool IndefinitIndexBase::toNull() const
+    bool IndefinitIndexBase::master() const
     {
-	//assert(not virt());
-	return true;
+	return mMajor.size() == 0;
     }
 
-    void IndefinitIndexBase::evalMajor()
+    IndefinitIndexBase& IndefinitIndexBase::subOrd(IndefinitIndexBase* major)
     {
-	//assert(not virt());
-	if(not master()){
-	    //int start = mMajor->pos();
-	    mMajor->eval();
-	    //VCHECK(static_cast<int>( mMajor->pos() ) - start);
-	}
-    }
-    
-    void IndefinitIndexBase::evalMajor(int num)
-    {
-	//assert(not virt());
-	//CHECK;
-	if(not master()){
-	    //int start = mMajor->pos();
-	    mMajor->setPosRel( num * mMajorStep);
-	    //VCHECK(static_cast<int>( mMajor->pos() ) - start);
-	}
-    }
-    
-    bool IndefinitIndexBase::master()
-    {
-	//assert(not virt());
-	return mMajor == nullptr;
-    }
-
-    void IndefinitIndexBase::subOrd(IndefinitIndexBase* major)
-    {
-	//assert(not virt());
-	mMajor = major;
-	mMajorStep = mMajor->giveSubStepSize(this);
-    }
-
-    size_t IndefinitIndexBase::majorStep() const
-    {
-	return mMajorStep;
+	mMajor[major] = major->giveSubStepSize(this);
+	return *this;
     }
     
     /**************
@@ -117,13 +114,6 @@ namespace MultiArrayTools
 	return mRange->size();
     }
 
-    template <class Index>
-    bool IndexBase<Index>::toNull() const
-    {
-	//assert(not virt());
-	return mRange == nullptr;
-    }
-
     template <class Index>
     void IndexBase<Index>::assignRange(RangeBase<Index> const* range)
     {
@@ -132,10 +122,4 @@ namespace MultiArrayTools
 	    mRange = range;
 	}
     }
-    
-    template <class Index>
-    void IndexBase<Index>::eval()
-    {
-	setPos( evaluate(*dynamic_cast<Index const*>( this )) );
-    }
 }
diff --git a/src/index_base.h b/src/index_base.h
index 4732999..bd9676f 100644
--- a/src/index_base.h
+++ b/src/index_base.h
@@ -18,7 +18,7 @@ namespace MultiArrayTools
     {
     public:
 	DEFAULT_MEMBERS(IndefinitIndexBase);
-	virtual ~IndefinitIndexBase();
+	virtual ~IndefinitIndexBase() = default; 
 	
 	virtual IndefinitIndexBase& operator=(size_t pos) = 0;
 	virtual IndefinitIndexBase& operator++() = 0;
@@ -26,32 +26,26 @@ namespace MultiArrayTools
 	virtual IndefinitIndexBase& operator+=(int n) = 0;
 	virtual IndefinitIndexBase& operator-=(int n) = 0;
 
-	// Make this somehow better... !!!
-	//virtual bool operator==(const IndefinitIndexBase& i) = 0;
-	//virtual bool operator!=(const IndefinitIndexBase& i) = 0;
+	bool operator==(const IndefinitIndexBase& i) const;
+	bool operator!=(const IndefinitIndexBase& i) const;
 	
 	virtual size_t dim() const = 0;
 	virtual size_t pos() const;
 	
 	virtual MultiRangeType rangeType() const = 0;
 
-	virtual void setPos(size_t pos);
-	virtual void setPosRel(int relPos);
+	virtual IndefinitIndexBase& setPos(size_t pos, IndefinitIndexBase* ctrlPtr = nullptr);
+	virtual IndefinitIndexBase& setPosRel(int relPos, IndefinitIndexBase* ctrlPtr = nullptr);
 
-	virtual IndefinitIndexBase& toFirst();
-	virtual IndefinitIndexBase& toLast();
+	virtual IndefinitIndexBase& toFirst(IndefinitIndexBase* ctrlPtr = nullptr);
+	virtual IndefinitIndexBase& toLast(IndefinitIndexBase* ctrlPtr = nullptr);
 	
 	virtual size_t max() const = 0;
 	virtual int outOfRange() const;
 	virtual bool atEdge() const;
-	virtual bool toNull() const;
+	virtual bool master() const;
 
-	virtual void eval() = 0;
-	virtual void evalMajor();
-	virtual void evalMajor(int num);
-	virtual bool master();
-
-	virtual void subOrd(IndefinitIndexBase* major);
+	virtual IndefinitIndexBase& subOrd(IndefinitIndexBase* major);
 	virtual size_t giveSubStepSize(IndefinitIndexBase* subIndex) = 0;
 	
     protected:
@@ -72,11 +66,8 @@ namespace MultiArrayTools
 	
 	//virtual size_t pos() const override; // = mPos; implement !!!
 	virtual size_t max() const override;
-	virtual bool toNull() const override;
 
 	virtual void assignRange(RangeBase<Index> const* range);
-
-	virtual void eval() override;
 	virtual void copyPos(const Index& in) = 0;
 	
     protected:
diff --git a/src/multi_array_operation.cc b/src/multi_array_operation.cc
index 513295f..bb58cfa 100644
--- a/src/multi_array_operation.cc
+++ b/src/multi_array_operation.cc
@@ -291,7 +291,7 @@ namespace MultiArrayTools
     {
 	return mNm;
     }
-
+    
     template <typename T, class Range>
     MultiArrayOperationRoot<T,Range>& MultiArrayOperationRoot<T,Range>::operator[](const IndexType& ind)
     {
@@ -469,14 +469,15 @@ namespace MultiArrayTools
 	mIndex = dynamic_cast<typename TotalInRange::IndexType const&>( in.index() );
 	
 	mNm = in.name();
-	mIndex.name(mNm); // to be sure...
 		
 	typename TotalInRange::IndexType endIndex = mIndex;
-	endIndex.setPos( mIndex.max() );
+	++endIndex.toLast();
 	
 	std::cout << "map assignment: " << endIndex.pos() << " elements" << std::endl;
 
-	// !!!!!
+	IndexList il = in.getIndices();
+	setInternalIndex(il);
+	in.setInternalIndex(il);
 	
 	MultiArray<T,TotalRange> cnt(mRoot->range());
 	MultiArrayOperationRoot<T,TotalRange> cnto(cnt, mRoot.name());
@@ -485,7 +486,6 @@ namespace MultiArrayTools
 	    get() += in.get();
 	    cnto.get() += 1.;
 	}
-	mRoot.freeIndex();
 	// CHECK whether T / size_t mixture works!!
 	mRoot /= cnt(mRoot.name(), true);
 	return *this;
@@ -497,16 +497,17 @@ namespace MultiArrayTools
     operator=(const ConstMultiArrayOperationRoot<T,TotalInRange>& in)
     {
 	mIndex = dynamic_cast<typename TotalInRange::IndexType const&>( in.index() );
-	
 	mNm = in.name();
-	mIndex.name(mNm); // to be sure...
 		
 	typename TotalInRange::IndexType endIndex = mIndex;
 	++endIndex.toLast();
 	
 	std::cout << "map assignment: " << endIndex.pos() << " elements" << std::endl;
 
-	//!!!!!!!
+	IndexList il = in.getIndices();
+	setInternalIndex(il);
+	in.setInternalIndex(il);
+	
 	MultiArray<T,TotalRange> cnt(mRoot->range());
 	MultiArrayOperationRoot<T,TotalRange> cnto(cnt, mRoot.name());
 	for(mIndex.toFirst(), mMF.eval(); mIndex != endIndex; ++mIndex, mMF.eval()){
diff --git a/src/multi_array_operation.h b/src/multi_array_operation.h
index e5ddbda..0d7d7a3 100644
--- a/src/multi_array_operation.h
+++ b/src/multi_array_operation.h
@@ -13,7 +13,7 @@
 namespace MultiArrayTools
 {
 
-    typedef std::vector<std::shared_ptr<IndefinitIndexBase> > IndexList;
+    typedef std::map<Name,std::shared_ptr<IndefinitIndexBase> > IndexList;
     
     template <typename T>
     class MultiArrayOperationBase
@@ -29,12 +29,8 @@ namespace MultiArrayTools
 	const IndefinitIndexBase& index() const = 0;
 	
 	virtual const T& get() const = 0;
-
-	virtual IndexList getIndices() const = 0;
-	virtual void setInternalIndex(const IndexList& il) = 0;
     };
-    
-    
+   
     template <typename T>
     class MutableMultiArrayOperationBase : public MultiArrayOperationBase<T>
     {
@@ -143,7 +139,6 @@ namespace MultiArrayTools
 	virtual const T& get() const override;
 
 	const Name& name() const;
-
 	const MultiArrayBase<T,Range>& getCont() const { return mArrayRef; }
 	
 	template <typename U, class RangeX>
@@ -216,7 +211,6 @@ namespace MultiArrayTools
 	virtual const T& get() const override;
 
 	const Name& name() const;
-
 	const MultiArrayBase<T,Range>& getCont() const { return mArrayRef; }
 	
 	template <typename U, class RangeX>
@@ -250,6 +244,7 @@ namespace MultiArrayTools
 	
 	virtual const T& get() const override;
 	virtual T& get() override;
+	
 	// !!!!
     protected:
 	IndexMapFunction<InRange,OutRange> mMF;
@@ -297,9 +292,8 @@ namespace MultiArrayTools
 	auto operator/(const MAOp2& sec) -> decltype(operator()(std::divides<T>(), sec));
 	
 	virtual size_t argNum() const override;
-
 	virtual const T& get() const override;
-
+	
     protected:
 
  	mutable T mVal;
@@ -355,9 +349,8 @@ namespace MultiArrayTools
 	auto operator/(const MAOp2& sec) -> decltype(operator()(std::divides<T>(), sec));
 	
 	virtual size_t argNum() const override;
-
 	virtual const T& get() const override;
-
+	
     protected:
 
  	mutable T mVal;
diff --git a/src/multi_range.cc b/src/multi_range.cc
index 72e63c5..6d996dc 100644
--- a/src/multi_range.cc
+++ b/src/multi_range.cc
@@ -77,17 +77,18 @@ namespace MultiArrayTools
 	template <size_t DIGIT>
 	struct SubIteration
 	{
+	    // use 'plus' as few as possible !!
 	    template <class MultiIndex>
 	    static inline void plus(MultiIndex& index, int num)
 	    {
 		auto& si = index.template getIndex<DIGIT>();
-		si.setPosRel(num);
+		si.setPosRel(num, &index);
 		size_t oor = si.outOfRange();
-		if(oor > 0){
+		while(oor > 0){
 		    SubIteration<DIGIT-1>::pp(index);
 		    SubIteration<DIGIT>::plus(index, -si.max());
 		}
-		else if(oor < 0){
+		while(oor < 0){
 		    SubIteration<DIGIT-1>::mm(index);
 		    SubIteration<DIGIT>::plus(index, si.max());
 		}
@@ -97,13 +98,12 @@ namespace MultiArrayTools
 	    static inline void pp(MultiIndex& index)
 	    {
 		auto& si = index.template getIndex<DIGIT>();
-		//IndefinitIndexBase& si = index.get(DIGIT);
-		if(si.pos() == si.max()-1){
-		    si.setPos(0);
+		if(si.pos() == si.atEdge()){
+		    si.setPos(0, &index);
 		    SubIteration<DIGIT-1>::pp(index);
 		}
 		else {
-		    si.setPosRel(1);
+		    si.setPosRel(1, &index);
 		}
 	    }
 
@@ -111,13 +111,12 @@ namespace MultiArrayTools
 	    static inline void mm(MultiIndex& index)
 	    {
 		auto& si = index.template getIndex<DIGIT>();
-		//IndefinitIndexBase& si = index.get(DIGIT);
-		if(si.pos() == si.max()-1){
-		    si.setPos(si.max()-1);
+		if(si.pos() == si.atEdge()){
+		    si.setPos(si.atEdge(), &index);
 		    SubIteration<DIGIT-1>::mm(index);
 		}
 		else {
-		    si.setPosRel(1);
+		    si.setPosRel(1, &index);
 		}
 	    }
 	};
@@ -129,45 +128,21 @@ namespace MultiArrayTools
 	    static inline void plus(MultiIndex& index, int num)
 	    {
 		auto& si = index.template getIndex<0>();
-		//IndefinitIndexBase& si = index.get(0);
-		si.setPosRel(num);
+		si.setPosRel(num, &index);
 	    }
 
 	    template <class MultiIndex>
 	    static inline void pp(MultiIndex& index)
 	    {
 		auto& si = index.template getIndex<0>();
-		//IndefinitIndexBase& si = index.get(0);
-		si.setPosRel(1);
+		si.setPosRel(1, &index);
 	    }
 
 	    template <class MultiIndex>
 	    static inline void mm(MultiIndex& index)
 	    {
 		auto& si = index.template getIndex<0>();
-		//IndefinitIndexBase& si = index.get(0);
-		si.setPosRel(-1);
-	    }
-	};
-
-	template <size_t N>
-	struct TupleNamer
-	{
-	    template <class IndexPack, class Name>
-	    static void nameTuple(IndexPack& iPack, Name& name)
-	    {
-		std::get<N>(iPack).name(name.get(N));
-		TupleNamer<N-1>::nameTuple(iPack, name);
-	    }
-	};
-	
-	template <>
-	struct TupleNamer<0>
-	{
-	    template <class IndexPack, class Name>
-	    static void nameTuple(IndexPack& iPack, Name& name)
-	    {
-		std::get<0>(iPack).name(name.get(0));
+		si.setPosRel(-1, &index);
 	    }
 	};
 
@@ -415,6 +390,10 @@ namespace MultiArrayTools
 	IIB::mPos = evaluate(*this);
     }
 
+    template <class... Indices>
+    MultiIndex<Indices...>::MultiIndex(std::vector<std::shared_ptr<IndefinitIndexBase> >& indexList) :
+	// !!!!
+    
     template <class... Indices>
     MultiIndex<Indices...>& MultiIndex<Indices...>::operator++()
     {
@@ -464,7 +443,7 @@ namespace MultiArrayTools
     }
     
     template <class... Indices>
-    IndefinitIndexBase& MultiIndex<Indices...>::operator=(size_t pos)
+    MultiIndex<Indices...>& MultiIndex<Indices...>::operator=(size_t pos)
     {
 	IIB::setPos( pos );
 	IndexPackSetter<sizeof...(Indices)-1>::setIndexPack(mIPack, pos);
@@ -484,20 +463,6 @@ namespace MultiArrayTools
 	return res;
     }
 
-    template <class... Indices>
-    void MultiIndex<Indices...>::name(const Name& nm)
-    {
-	IIB::mName = nm.own();
-	if(nm.size() >= sizeof...(Indices)){
-	    TupleNamer<sizeof...(Indices)-1>::nameTuple(mIPack, nm);
-	}
-	else {
-	    Name nm2 = nm;
-	    nm2.autoName(sizeof...(Indices));
-	    TupleNamer<sizeof...(Indices)-1>::nameTuple(mIPack, nm2);
-	}
-    }
-
     template <class... Indices>
     MultiIndex<Indices...>& MultiIndex<Indices...>::operator()(Indices&&... inds)
     {
@@ -602,7 +567,7 @@ namespace MultiArrayTools
 	    return 0;
 	}
     }
-
+    
     template <size_t N>
     struct TuplePrinter
     {
@@ -685,6 +650,15 @@ namespace MultiArrayTools
 	IndexSetter<sizeof...(Ranges)-1>::setEnd(is,mSpace);
 	return ++MultiIndex<typename Ranges::IndexType...>(this, is);
     }
+
+    template <class... Ranges>
+    std::shared_ptr<IndefinitIndexBase> MultiRange<Ranges...>::indexInstance() const
+    {
+	std::tuple<std::shared_ptr<typename Ranges::IndexType>...> is;
+	IndexSetter<sizeof...(Ranges)-1>::setBegin(is,mSpace);
+	std::shared_ptr<IndefinitIndexBase> sptr(new MultiIndex<typename Ranges::IndexType...>(this, is));
+	return sptr;
+    }
 }
 
 template <typename... Ts>
diff --git a/src/multi_range.h b/src/multi_range.h
index f263ff3..3770262 100644
--- a/src/multi_range.h
+++ b/src/multi_range.h
@@ -46,8 +46,8 @@ namespace MultiArrayTools
 	
 	MultiIndex(RangeBase<MultiIndex<std::shared_ptr<Indices>...> > const* range,
 		   const IndexPack& ipack);
-	
- 	//virtual ~MultiIndex();
+
+	MultiIndex(std::vector<std::shared_ptr<IndefinitIndexBase> >& indexList);
 	
 	virtual MultiIndex& operator++() override;
 	virtual MultiIndex& operator--() override;
@@ -57,15 +57,15 @@ namespace MultiArrayTools
 	bool operator==(const MultiIndex& in);
 	bool operator!=(const MultiIndex& in);
 	
-	virtual IIB& operator=(size_t pos) override;
+	virtual MultiIndex& operator=(size_t pos) override;
 	virtual MultiRangeType rangeType() const override;
 	
 	template <size_t N>
-	auto getIndex() ->;
+	auto getIndex() -> decltype(*std::get<N>(mIPack))&;
 	//typename std::tuple_element<N, std::tuple<std::shared_ptr<Indices>...> >::type& getIndex();
 
 	template <size_t N>
-	auto getIndex() const ->;
+	auto getIndex() const -> decltype(*std::get<N>(mIPack))&;
 	//typename std::tuple_element<N, std::tuple<std::shared_ptr<Indices>...> >::type const& getIndex() const;
 	
 	IndefinitIndexBase& get(size_t n);
@@ -77,18 +77,9 @@ namespace MultiArrayTools
 	MultiIndex& operator()(Indices&&... inds);
 	MultiIndex& operator()(const Indices&... inds);
 	
-	virtual void name(const Name& nm) override;
-	
 	// dimension of MultiRange; includes ALL degrees of freedom
 	virtual size_t dim() const override;
-
-	virtual void copyPos(const MultiIndex<std::shared_ptr<Indices>...>& in) override;
-
 	virtual size_t giveSubStepSize(IndefinitIndexBase* subIndex) override;
-	
-	//virtual void eval() override;
-	//virtual bool virt() const override { return false; }
-	//virtual void assignRange(RangeBase<MultiIndex<Indices...> > const* range) override;
     };
 
     /*****************************
@@ -111,7 +102,7 @@ namespace MultiArrayTools
 	MultiRange(const SpaceType& space);
 	
 	static const size_t dim = sizeof...(Ranges);
-
+	
 	template <size_t N> // !!! return ref to range, not the corresp. shared ptr
 	auto getRange() -> ;
 	//typename std::tuple_element<N, std::tuple<std::shared_ptr<Ranges>...> >::type& getRange();
@@ -127,6 +118,8 @@ namespace MultiArrayTools
 	
 	virtual MultiIndex<typename Ranges::IndexType...> begin() const override;
 	virtual MultiIndex<typename Ranges::IndexType...> end() const override;
+
+	virtual std::shared_ptr<IndefinitIndexBase> indexInstance() const override;
 	
     protected:
 	SpaceType mSpace;
diff --git a/src/range_base.cc b/src/range_base.cc
index 0d2f236..b88d57a 100644
--- a/src/range_base.cc
+++ b/src/range_base.cc
@@ -112,6 +112,11 @@ namespace MultiArrayTools
     {
 	return true;
     }
-
+    
+    template <class Index>
+    RangeBase<Index>* SubRangeBase<Index>::base()
+    {
+	return mBase;
+    }
 
 }
diff --git a/src/range_base.h b/src/range_base.h
index 6c63d13..6774a99 100644
--- a/src/range_base.h
+++ b/src/range_base.h
@@ -55,20 +55,30 @@ namespace MultiArrayTools
 	std::vector<MultiRangeType>* mMultiType;
     };
 
+    class IndefinitRangeBase
+    {
+    public:
+	virtual ~IndefinitRangeBase() = default;
+
+	virtual size_t size() const = 0;
+	virtual bool isSubRange() const = 0;
+	virtual MultiRangeType type() const = 0;
+	virtual std::shared_ptr<IndefinitIndexBase> indexInstance() const = 0;
+	
+    protected:
+	DEFAULT_MEMBERS(RangeBase);
+    };
+    
     template <class Index>
-    class RangeBase
+    class RangeBase : public IndefinitRangeBase
     {
     public:
 	typedef Index IndexType;
 
-	virtual ~RangeBase() = default;
-	
-	virtual size_t size() const = 0;
 	virtual Index begin() const = 0;
 	virtual Index end() const = 0;
 	virtual RangeBase<Index>* base();
-	virtual bool isSubRange() const;
-	virtual MultiRangeType type() const = 0;
+	virtual bool isSubRange() const override;
 	
     protected:
 	DEFAULT_MEMBERS(RangeBase);