X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Findexed.h;h=aac4625c8d6f37a4ca06b461222ec3ff3c2ca993;hp=26bf9a5eec1c2563410ea9195b38b9ef1bb8beff;hb=a68aee97d9ebdac8a6ac81f1e41961e6bc792468;hpb=c8f1702a09070f7d0d64118a0a3405521affb2cb diff --git a/ginac/indexed.h b/ginac/indexed.h index 26bf9a5e..aac4625c 100644 --- a/ginac/indexed.h +++ b/ginac/indexed.h @@ -3,7 +3,7 @@ * Interface to GiNaC's indexed expressions. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by @@ -26,11 +26,13 @@ #include #include "exprseq.h" +#include "wildcard.h" 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) @@ -41,16 +43,7 @@ class indexed : public exprseq 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); - - // 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 bool reposition_dummy_indices(ex & e, exvector & variant_dummy_indices, exvector & moved_indices); // other constructors public: @@ -102,7 +95,7 @@ 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 +106,7 @@ 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 +118,7 @@ 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. @@ -142,27 +135,25 @@ 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, std::auto_ptr vp); // functions overriding virtual functions from base classes public: - void print(const print_context & c, unsigned level = 0) const; + unsigned precedence() const {return 55;} 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; + exvector get_free_indices() const; protected: - ex thisexprseq(const exvector & v) const; - ex thisexprseq(exvector * vp) const; - unsigned return_type(void) const { return return_types::commutative; } + ex derivative(const symbol & s) const; + ex thiscontainer(const exvector & v) const; + ex thiscontainer(std::auto_ptr vp) const; + unsigned return_type() const { return return_types::commutative; } ex expand(unsigned options = 0) const; // new virtual functions which can be overridden by derived classes @@ -175,36 +166,52 @@ public: bool all_index_values_are(unsigned inf) const; /** Return a vector containing the object's indices. */ - exvector get_indices(void) const; + exvector get_indices() const; /** Return a vector containing the dummy indices of the object, if any. */ - exvector get_dummy_indices(void) const; + exvector get_dummy_indices() const; /** Return a vector containing the dummy indices in the contraction with - * another indexed object. */ + * another indexed object. This is symmetric: a.get_dummy_indices(b) + * == b.get_dummy_indices(a) */ 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() const {return symtree;} + protected: void printindices(const print_context & c, unsigned level) const; - void assert_all_indices_of_type_idx(void) const; + void print_indexed(const print_context & c, const char *openbrace, const char *closebrace, unsigned level) const; + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; + void do_print_tree(const print_tree & c, unsigned level) const; + void validate() const; // member variables protected: - symmetry_type symmetry; /**< Index symmetry */ + ex symtree; /**< Index symmetry (tree of symmetry objects) */ }; -typedef std::pair spmapkey; +class spmapkey { +public: + spmapkey() : dim(wild()) {} + spmapkey(const ex & v1, const ex & v2, const ex & dim = wild()); -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)); - } + bool operator==(const spmapkey &other) const; + bool operator<(const spmapkey &other) const; + + void debugprint() const; + +protected: + ex v1, v2, dim; }; -typedef std::map spmap; +typedef std::map spmap; /** Helper class for storing information about known scalar products which * are to be automatically replaced by simplify_indexed(). @@ -215,51 +222,34 @@ public: /** Register scalar product pair and its value. */ void add(const ex & v1, const ex & v2, const ex & sp); + /** Register scalar product pair and its value for a specific space dimension. */ + void add(const ex & v1, const ex & v2, const ex & dim, 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); + void add_vectors(const lst & l, const ex & dim = wild()); /** Clear all registered scalar products. */ - void clear(void); + void clear(); - 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); + bool is_defined(const ex & v1, const ex & v2, const ex & dim) const; + ex evaluate(const ex & v1, const ex & v2, const ex & dim) const; + void debugprint() const; +protected: spmap spm; /*< Map from defined scalar product pairs to their values */ }; // utility functions -inline const indexed &ex_to_indexed(const ex &e) + +/** Specialization of is_exactly_a(obj) for indexed objects. */ +template<> inline bool is_exactly_a(const basic & obj) { - return static_cast(*e.bp); + return obj.tinfo()==TINFO_indexed; } - -/** 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__