X-Git-Url: https://ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Findexed.h;h=b5a0dcedff199d0773644bc07e53e7ad9a3f1a6d;hb=17ee7a6d0c88cd9b33db41fbca2973177b9a8a2f;hp=e98375d38165d56610fe1e72a111e8412f705711;hpb=a40b470aeccc76b9a6055dc5191805e0bb6f7df2;p=ginac.git diff --git a/ginac/indexed.h b/ginac/indexed.h index e98375d3..b5a0dced 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. @@ -142,18 +133,16 @@ 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; @@ -162,6 +151,7 @@ public: exvector get_free_indices(void) const; protected: + ex derivative(const symbol & s) const; ex thisexprseq(const exvector & v) const; ex thisexprseq(exvector * vp) const; unsigned return_type(void) const { return return_types::commutative; } @@ -186,15 +176,20 @@ public: * 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; - void assert_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) */ }; @@ -219,6 +214,11 @@ 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); @@ -234,30 +234,19 @@ private: // utility functions + +/** Return the indexed object handled by an ex. Deprecated: use ex_to(). + * This is unsafe: you need to check the type first. */ 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); - +/** Specialization of is_exactly_a(obj) for indexed objects. */ +template<> inline bool is_exactly_a(const basic & obj) +{ + return obj.tinfo()==TINFO_indexed; +} } // namespace GiNaC