X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fclifford.h;h=d77707964f1d1d9f9dfb0d637f37fd48bbf705e9;hp=69c9e23a6685a3b19f42fbfa17b9bed4113a4431;hb=79ce7b7b4bd2bb7e4c803f33a24f86434deb6b71;hpb=6c9a7dfd6b92368b21a2fe5aaf3638bc849099ba diff --git a/ginac/clifford.h b/ginac/clifford.h index 69c9e23a..d7770796 100644 --- a/ginac/clifford.h +++ b/ginac/clifford.h @@ -3,7 +3,7 @@ * Interface to GiNaC's clifford algebra (Dirac gamma) objects. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2003 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 @@ -45,19 +45,24 @@ public: // internal constructors clifford(unsigned char rl, const exvector & v, bool discardable = false); - clifford(unsigned char rl, exvector * vp); // vp will be deleted + clifford(unsigned char rl, std::auto_ptr vp); // functions overriding virtual functions from base classes protected: - ex simplify_ncmul(const exvector & v) const; - ex thisexprseq(const exvector & v) const; - ex thisexprseq(exvector * vp) const; - unsigned return_type(void) const { return return_types::noncommutative; } - unsigned return_type_tinfo(void) const { return TINFO_clifford + representation_label; } + ex eval_ncmul(const exvector & v) const; + bool match_same_type(const basic & other) const; + ex thiscontainer(const exvector & v) const; + ex thiscontainer(std::auto_ptr vp) const; + unsigned return_type() const { return return_types::noncommutative; } + unsigned return_type_tinfo() const { return TINFO_clifford + representation_label; } // non-virtual functions in this class public: - unsigned char get_representation_label(void) const {return representation_label;} + unsigned char get_representation_label() const {return representation_label;} + +protected: + void do_print_dflt(const print_dflt & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; // member variables private: @@ -70,9 +75,10 @@ class diracone : public tensor { GINAC_DECLARE_REGISTERED_CLASS(diracone, tensor) - // functions overriding virtual functions from bases classes -public: - void print(const print_context & c, unsigned level = 0) const; + // non-virtual functions in this class +protected: + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; }; @@ -81,10 +87,14 @@ class diracgamma : public tensor { GINAC_DECLARE_REGISTERED_CLASS(diracgamma, tensor) - // functions overriding virtual functions from bases classes + // functions overriding virtual functions from base classes public: - void print(const print_context & c, unsigned level = 0) const; bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; + + // non-virtual functions in this class +protected: + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; }; @@ -94,19 +104,47 @@ class diracgamma5 : public tensor { GINAC_DECLARE_REGISTERED_CLASS(diracgamma5, tensor) - // functions overriding virtual functions from bases classes -public: - void print(const print_context & c, unsigned level = 0) const; + // non-virtual functions in this class +protected: + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; +}; + + +/** This class represents the Dirac gammaL object which behaves like + * 1/2 (1-gamma5). */ +class diracgammaL : public tensor +{ + GINAC_DECLARE_REGISTERED_CLASS(diracgammaL, tensor) + + // non-virtual functions in this class +protected: + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; +}; + + +/** This class represents the Dirac gammaL object which behaves like + * 1/2 (1+gamma5). */ +class diracgammaR : public tensor +{ + GINAC_DECLARE_REGISTERED_CLASS(diracgammaR, tensor) + + // non-virtual functions in this class +protected: + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; }; // global functions -inline const clifford &ex_to_clifford(const ex &e) + +/** Specialization of is_exactly_a(obj) for clifford objects. */ +template<> inline bool is_exactly_a(const basic & obj) { - return static_cast(*e.bp); + return obj.tinfo()==TINFO_clifford; } - /** Create a Clifford unity object. * * @param rl Representation label @@ -126,14 +164,21 @@ ex dirac_gamma(const ex & mu, unsigned char rl = 0); * @return newly constructed object */ ex dirac_gamma5(unsigned char rl = 0); -/** This returns (dirac_ONE(rl) + dirac_gamma5(rl)). */ -ex dirac_gamma6(unsigned char rl = 0); +/** Create a Dirac gammaL object. + * + * @param rl Representation label + * @return newly constructed object */ +ex dirac_gammaL(unsigned char rl = 0); -/** This returns (dirac_ONE(rl) - dirac_gamma5(rl)). */ -ex dirac_gamma7(unsigned char rl = 0); +/** Create a Dirac gammaR object. + * + * @param rl Representation label + * @return newly constructed object */ +ex dirac_gammaR(unsigned char rl = 0); /** Create a term of the form e_mu * gamma~mu with a unique index mu. * + * @param e Original expression * @param dim Dimension of index * @param rl Representation label */ ex dirac_slash(const ex & e, const ex & dim, unsigned char rl = 0); @@ -144,9 +189,15 @@ ex dirac_slash(const ex & e, const ex & dim, unsigned char rl = 0); * In particular, the functional is not always cyclic in D != 4 dimensions * when gamma5 is involved. * - * @param rl Representation label */ -ex dirac_trace(const ex & e, unsigned char rl = 0); + * @param e Expression to take the trace of + * @param rl Representation label + * @param trONE Expression to be returned as the trace of the unit matrix */ +ex dirac_trace(const ex & e, unsigned char rl = 0, const ex & trONE = 4); +/** Bring all products of clifford objects in an expression into a canonical + * order. This is not necessarily the most simple form but it will allow + * to check two expressions for equality. */ +ex canonicalize_clifford(const ex & e); } // namespace GiNaC