X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Findexed.h;h=b15ed8b30ec892975e322178fb6f32da7f0b222a;hp=c43d4aded9c61f2169ecdfa27c8790bfa820007f;hb=6d383491ac7fdc612ebc15778a2db01dbc5660d6;hpb=e58227e1112f989f3b5417e497a61d53fc2971fa diff --git a/ginac/indexed.h b/ginac/indexed.h index c43d4ade..b15ed8b3 100644 --- a/ginac/indexed.h +++ b/ginac/indexed.h @@ -1,6 +1,6 @@ /** @file indexed.h * - * Interface to GiNaC's index carrying objects. */ + * Interface to GiNaC's indexed expressions. */ /* * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany @@ -23,83 +23,229 @@ #ifndef __GINAC_INDEXED_H__ #define __GINAC_INDEXED_H__ -#include +#include + #include "exprseq.h" -#ifndef NO_NAMESPACE_GINAC namespace GiNaC { -#endif // ndef NO_NAMESPACE_GINAC -/** Base class for objects with indices. */ +class scalar_products; + +/** 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) + * indices (all of class idx), accessible as op(1)..op(n). */ class indexed : public exprseq { GINAC_DECLARE_REGISTERED_CLASS(indexed, exprseq) -// member functions + 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); - // default constructor, destructor, copy constructor assignment operator and helpers + // types public: - indexed(); - ~indexed(); - indexed(const indexed & other); - const indexed & operator=(const indexed & other); -protected: - void copy(const indexed & other); - void destroy(bool call_parent); + /** 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; // other constructors public: - indexed(const ex & i1); - indexed(const ex & i1, const ex & i2); - indexed(const ex & i1, const ex & i2, const ex & i3); - indexed(const ex & i1, const ex & i2, const ex & i3, const ex & i4); - indexed(const exvector & iv); - indexed(exvector * iv); + /** Construct indexed object with no index. + * + * @param b Base expression + * @return newly constructed indexed object */ + indexed(const ex & b); + + /** Construct indexed object with one index. The index must be of class idx. + * + * @param b Base expression + * @param i1 The index + * @return newly constructed indexed object */ + indexed(const ex & b, const ex & i1); + + /** Construct indexed object with two indices. The indices must be of class idx. + * + * @param b Base expression + * @param i1 First index + * @param i2 Second index + * @return newly constructed indexed object */ + indexed(const ex & b, const ex & i1, const ex & i2); + + /** Construct indexed object with three indices. The indices must be of class idx. + * + * @param b Base expression + * @param i1 First index + * @param i2 Second index + * @param i3 Third index + * @return newly constructed indexed object */ + indexed(const ex & b, const ex & i1, const ex & i2, const ex & i3); + + /** Construct indexed object with four indices. The indices must be of class idx. + * + * @param b Base expression + * @param i1 First index + * @param i2 Second index + * @param i3 Third index + * @param i4 Fourth index + * @return newly constructed indexed object */ + indexed(const ex & b, const ex & i1, const ex & i2, const ex & i3, const ex & i4); + + /** Construct indexed object with two indices and a specified symmetry. The + * indices must be of class idx. + * + * @param b Base expression + * @param symm Symmetry of indices + * @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); + + /** Construct indexed object with three indices and a specified symmetry. + * The indices must be of class idx. + * + * @param b Base expression + * @param symm Symmetry of indices + * @param i1 First index + * @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); + + /** Construct indexed object with four indices and a specified symmetry. The + * indices must be of class idx. + * + * @param b Base expression + * @param symm Symmetry of indices + * @param i1 First index + * @param i2 Second index + * @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); + + /** Construct indexed object with a specified vector of indices. The indices + * must be of class idx. + * + * @param b Base expression + * @param iv Vector of indices + * @return newly constructed indexed object */ + indexed(const ex & b, const exvector & iv); + + /** Construct indexed object with a specified vector of indices and + * symmetry. The indices must be of class idx. + * + * @param b Base expression + * @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); + + // 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 // functions overriding virtual functions from base classes public: - basic * duplicate() const; 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 printcsrc(std::ostream & os, unsigned type, unsigned upper_precedence) const; bool info(unsigned inf) const; - - /** Return the vector of indices on this object. */ - exvector get_indices(void) const {return seq;} + ex eval(int level = 0) const; + exvector get_free_indices(void) const; protected: - ex derivative(const symbol & s) const; - int compare_same_type(const basic & other) const; - bool is_equal_same_type(const basic & other) const; - unsigned return_type(void) const; - unsigned return_type_tinfo(void) const; ex thisexprseq(const exvector & v) const; ex thisexprseq(exvector * vp) const; + unsigned return_type(void) const { return return_types::commutative; } + ex expand(unsigned options = 0) const; // new virtual functions which can be overridden by derived classes // none // non-virtual functions in this class +public: + /** Check whether all index values have a certain property. + * @see class info_flags */ + bool all_index_values_are(unsigned inf) const; + protected: void printrawindices(std::ostream & os) const; void printtreeindices(std::ostream & os, unsigned indent) const; void printindices(std::ostream & os) const; - bool all_of_type_idx(void) const; + bool all_indices_of_type_idx(void) const; -// member variables - // none + // member variables +protected: + symmetry_type symmetry; /**< Index symmetry */ }; + +typedef std::pair spmapkey; + +struct spmapkey_is_less { + bool operator() (const spmapkey &p, const spmapkey &q) const + { + int cmp = p.first.compare(q.first); + return ((cmp<0) || (!(cmp>0) && p.second.compare(q.second)<0)); + } +}; + +typedef std::map spmap; + +/** Helper class for storing information about known scalar products which + * are to be automatically replaced by simplify_indexed(). + * + * @see simplify_indexed */ +class scalar_products { +public: + /** Register scalar product pair and its value. */ + void add(const ex & v1, const ex & v2, const ex & sp); + + /** Clear all registered scalar products. */ + void clear(void); + + bool is_defined(const ex & v1, const ex & v2) const; + ex evaluate(const ex & v1, const ex & v2) const; + void debugprint(void) const; + +private: + static spmapkey make_key(const ex & v1, const ex & v2); + + spmap spm; /*< Map from defined scalar product pairs to their values */ +}; + + // utility functions inline const indexed &ex_to_indexed(const ex &e) { return static_cast(*e.bp); } -#ifndef NO_NAMESPACE_GINAC + +/** 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 NO_NAMESPACE_GINAC #endif // ndef __GINAC_INDEXED_H__