X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;ds=sidebyside;f=ginac%2Findexed.h;h=222107081ca3cbeb5449ddf2a11d49f1196aee90;hb=276f1bc79bd0f41a12fb45ece6c7857e13c6668e;hp=b15ed8b30ec892975e322178fb6f32da7f0b222a;hpb=094911eb78cacb6f2877a70c9ac74766df58ccea;p=ginac.git diff --git a/ginac/indexed.h b/ginac/indexed.h index b15ed8b3..22210708 100644 --- a/ginac/indexed.h +++ b/ginac/indexed.h @@ -31,6 +31,7 @@ namespace GiNaC { class scalar_products; +class symmetry; /** This class holds an indexed expression. It consists of a 'base' expression * (the expression being indexed) which can be accessed as op(0), and n (n >= 0) @@ -39,18 +40,8 @@ class indexed : public exprseq { GINAC_DECLARE_REGISTERED_CLASS(indexed, exprseq) - friend ex simplify_indexed(const ex & e, exvector & free_indices, const scalar_products & sp); - friend ex simplify_indexed_product(const ex & e, exvector & free_indices, const scalar_products & sp); - - // types -public: - /** Type of symmetry of the object with respect to commutation of its indices. */ - typedef enum { - unknown, /**< symmetry properties unknown */ - symmetric, /**< totally symmetric */ - antisymmetric, /**< totally antisymmetric */ - mixed /**< mixed symmetry (unimplemented) */ - } symmetry_type; + friend ex simplify_indexed(const ex & e, exvector & free_indices, exvector & dummy_indices, const scalar_products & sp); + friend ex simplify_indexed_product(const ex & e, exvector & free_indices, exvector & dummy_indices, const scalar_products & sp); // other constructors public: @@ -102,7 +93,7 @@ public: * @param i1 First index * @param i2 Second index * @return newly constructed indexed object */ - indexed(const ex & b, symmetry_type symm, const ex & i1, const ex & i2); + indexed(const ex & b, const symmetry & symm, const ex & i1, const ex & i2); /** Construct indexed object with three indices and a specified symmetry. * The indices must be of class idx. @@ -113,7 +104,7 @@ public: * @param i2 Second index * @param i3 Third index * @return newly constructed indexed object */ - indexed(const ex & b, symmetry_type symm, const ex & i1, const ex & i2, const ex & i3); + indexed(const ex & b, const symmetry & symm, const ex & i1, const ex & i2, const ex & i3); /** Construct indexed object with four indices and a specified symmetry. The * indices must be of class idx. @@ -125,7 +116,7 @@ public: * @param i3 Third index * @param i4 Fourth index * @return newly constructed indexed object */ - indexed(const ex & b, symmetry_type symm, const ex & i1, const ex & i2, const ex & i3, const ex & i4); + indexed(const ex & b, const symmetry & symm, const ex & i1, const ex & i2, const ex & i3, const ex & i4); /** Construct indexed object with a specified vector of indices. The indices * must be of class idx. @@ -142,20 +133,21 @@ public: * @param symm Symmetry of indices * @param iv Vector of indices * @return newly constructed indexed object */ - indexed(const ex & b, symmetry_type symm, const exvector & iv); + indexed(const ex & b, const symmetry & symm, const exvector & iv); // internal constructors - indexed(symmetry_type symm, const exprseq & es); - indexed(symmetry_type symm, const exvector & v, bool discardable = false); - indexed(symmetry_type symm, exvector * vp); // vp will be deleted + indexed(const symmetry & symm, const exprseq & es); + indexed(const symmetry & symm, const exvector & v, bool discardable = false); + indexed(const symmetry & symm, exvector * vp); // vp will be deleted // functions overriding virtual functions from base classes public: - void printraw(std::ostream & os) const; - void printtree(std::ostream & os, unsigned indent) const; - void print(std::ostream & os, unsigned upper_precedence=0) const; + void print(const print_context & c, unsigned level = 0) const; bool info(unsigned inf) const; ex eval(int level = 0) const; + int degree(const ex & s) const; + int ldegree(const ex & s) const; + ex coeff(const ex & s, int n = 1) const; exvector get_free_indices(void) const; protected: @@ -173,15 +165,30 @@ public: * @see class info_flags */ bool all_index_values_are(unsigned inf) const; + /** Return a vector containing the object's indices. */ + exvector get_indices(void) const; + + /** Return a vector containing the dummy indices of the object, if any. */ + exvector get_dummy_indices(void) const; + + /** Return a vector containing the dummy indices in the contraction with + * another indexed object. */ + exvector get_dummy_indices(const indexed & other) const; + + /** Check whether the object has an index that forms a dummy index pair + * with a given index. */ + bool has_dummy_index_for(const ex & i) const; + + /** Return symmetry properties. */ + ex get_symmetry(void) const {return symtree;} + protected: - void printrawindices(std::ostream & os) const; - void printtreeindices(std::ostream & os, unsigned indent) const; - void printindices(std::ostream & os) const; - bool all_indices_of_type_idx(void) const; + void printindices(const print_context & c, unsigned level) const; + void validate(void) const; // member variables protected: - symmetry_type symmetry; /**< Index symmetry */ + ex symtree; /**< Index symmetry (tree of symmetry objects) */ }; @@ -206,6 +213,11 @@ public: /** Register scalar product pair and its value. */ void add(const ex & v1, const ex & v2, const ex & sp); + /** Register list of vectors. This adds all possible pairs of products + * a.i * b.i with the value a*b (note that this is not a scalar vector + * product but an ordinary product of scalars). */ + void add_vectors(const lst & l); + /** Clear all registered scalar products. */ void clear(void); @@ -226,26 +238,6 @@ inline const indexed &ex_to_indexed(const ex &e) return static_cast(*e.bp); } - -/** Simplify/canonicalize expression containing indexed objects. This - * performs contraction of dummy indices where possible and checks whether - * the free indices in sums are consistent. - * - * @param e The expression to be simplified - * @return simplified expression */ -ex simplify_indexed(const ex & e); - -/** Simplify/canonicalize expression containing indexed objects. This - * performs contraction of dummy indices where possible, checks whether - * the free indices in sums are consistent, and automatically replaces - * scalar products by known values if desired. - * - * @param e The expression to be simplified - * @param sp Scalar products to be replaced automatically - * @return simplified expression */ -ex simplify_indexed(const ex & e, const scalar_products & sp); - - } // namespace GiNaC #endif // ndef __GINAC_INDEXED_H__