X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fclifford.h;h=0402f9305655a96087e38c01ab1aa07c4d6dbce4;hp=18ef03c2209fd073778c90b9e9d1644a392e7820;hb=8305ec388e5c205b7392566d32582f9d08adb88d;hpb=79ad926d8a937c44278b8466966c9a2e9f2ee2f0 diff --git a/ginac/clifford.h b/ginac/clifford.h index 18ef03c2..0402f930 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) 1999-2005 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2016 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 @@ -20,8 +20,8 @@ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ -#ifndef __GINAC_CLIFFORD_H__ -#define __GINAC_CLIFFORD_H__ +#ifndef GINAC_CLIFFORD_H +#define GINAC_CLIFFORD_H #include "indexed.h" #include "tensor.h" @@ -32,7 +32,6 @@ namespace GiNaC { - /** This class holds an object representing an element of the Clifford * algebra (the Dirac gamma matrices). These objects only carry Lorentz * indices. Spinor indices are hidden. A representation label (an unsigned @@ -41,57 +40,52 @@ namespace GiNaC { class clifford : public indexed { GINAC_DECLARE_REGISTERED_CLASS(clifford, indexed) - // other constructors public: - clifford(const ex & b, unsigned char rl = 0, bool anticommut = false); - clifford(const ex & b, const ex & mu, const ex & metr, unsigned char rl = 0, bool anticommut = false, int comm_sign = -1); + clifford(const ex & b, unsigned char rl = 0); + clifford(const ex & b, const ex & mu, const ex & metr, unsigned char rl = 0, int comm_sign = -1); // internal constructors - clifford(unsigned char rl, const ex & metr, bool anticommut, int comm_sign, const exvector & v, bool discardable = false); - clifford(unsigned char rl, const ex & metr, bool anticommut, int comm_sign, std::auto_ptr vp); + clifford(unsigned char rl, const ex & metr, int comm_sign, const exvector & v); + clifford(unsigned char rl, const ex & metr, int comm_sign, exvector && v); // functions overriding virtual functions from base classes public: - unsigned precedence() const { return 65; } + unsigned precedence() const override { return 65; } + void archive(archive_node& n) const override; + void read_archive(const archive_node& n, lst& sym_lst) override; protected: - 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; } - + ex eval_ncmul(const exvector & v) const override; + bool match_same_type(const basic & other) const override; + ex thiscontainer(const exvector & v) const override; + ex thiscontainer(exvector && v) const override; + unsigned return_type() const override { return return_types::noncommutative; } + return_type_t return_type_tinfo() const override; // non-virtual functions in this class public: unsigned char get_representation_label() const { return representation_label; } ex get_metric() const { return metric; } virtual ex get_metric(const ex & i, const ex & j, bool symmetrised = false) const; bool same_metric(const ex & other) const; - bool is_anticommuting() const { return anticommuting; } //**< See the member variable anticommuting */ int get_commutator_sign() const { return commutator_sign; } //**< See the member variable commutator_sign */ - inline size_t nops() const {return inherited::nops() + 1; } - ex op(size_t i) const; - ex & let_op(size_t i); - ex subs(const exmap & m, unsigned options = 0) const { clifford c = ex_to(inherited::subs(m, options)); c.metric_subs(m, options); return c;} - ex subs(const lst & ls, const lst & lr, unsigned options = 0) const { clifford c = ex_to(ex(*this).subs(ls, lr, options)); c.metric_subs(ls, lr, options); return c;} - ex subs(const ex & e, unsigned options = 0) const{ clifford c = ex_to(ex(*this).subs(e, options)); c.metric_subs(e, options); return c;}; + inline size_t nops() const override {return inherited::nops() + 1; } + ex op(size_t i) const override; + ex & let_op(size_t i) override; + ex subs(const exmap & m, unsigned options = 0) const override; protected: void do_print_dflt(const print_dflt & c, unsigned level) const; void do_print_latex(const print_latex & c, unsigned level) const; - void metric_subs(const exmap & m, unsigned options = 0) { metric = metric.subs(m, options); } - void metric_subs(const lst & ls, const lst & lr, unsigned options = 0) { metric = metric.subs(ls, lr, options); } - void metric_subs(const ex & e, unsigned options = 0) { metric = metric.subs(e, options); } + void do_print_tree(const print_tree & c, unsigned level) const; // member variables protected: unsigned char representation_label; /**< Representation label to distinguish independent spin lines */ ex metric; /**< Metric of the space, all constructors make it an indexed object */ - bool anticommuting; /**< Simplifications for anticommuting units is much simpler and we need this info readily available */ int commutator_sign; /**< It is the sign in the definition e~i e~j +/- e~j e~i = B(i, j) + B(j, i)*/ }; +GINAC_DECLARE_UNARCHIVER(clifford); /** This class represents the Clifford algebra unity element. */ class diracone : public tensor @@ -103,6 +97,7 @@ protected: void do_print(const print_context & c, unsigned level) const; void do_print_latex(const print_latex & c, unsigned level) const; }; +GINAC_DECLARE_UNARCHIVER(diracone); /** This class represents the Clifford algebra generators (units). */ @@ -110,19 +105,16 @@ class cliffordunit : public tensor { GINAC_DECLARE_REGISTERED_CLASS(cliffordunit, tensor) - // other constructors -protected: - cliffordunit(unsigned ti) : inherited(ti) {} - // functions overriding virtual functions from base classes public: - bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; + bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const override; // 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; }; +GINAC_DECLARE_UNARCHIVER(cliffordunit); /** This class represents the Dirac gamma Lorentz vector. */ @@ -132,13 +124,14 @@ class diracgamma : public cliffordunit // functions overriding virtual functions from base classes public: - bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; + bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const override; // 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; }; +GINAC_DECLARE_UNARCHIVER(diracgamma); /** This class represents the Dirac gamma5 object which anticommutates with @@ -148,13 +141,14 @@ class diracgamma5 : public tensor GINAC_DECLARE_REGISTERED_CLASS(diracgamma5, tensor) // functions overriding virtual functions from base classes - ex conjugate() const; + ex conjugate() const override; // 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; }; +GINAC_DECLARE_UNARCHIVER(diracgamma5); /** This class represents the Dirac gammaL object which behaves like @@ -164,13 +158,14 @@ class diracgammaL : public tensor GINAC_DECLARE_REGISTERED_CLASS(diracgammaL, tensor) // functions overriding virtual functions from base classes - ex conjugate() const; + ex conjugate() const override; // 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; }; +GINAC_DECLARE_UNARCHIVER(diracgammaL); /** This class represents the Dirac gammaL object which behaves like @@ -180,21 +175,25 @@ class diracgammaR : public tensor GINAC_DECLARE_REGISTERED_CLASS(diracgammaR, tensor) // functions overriding virtual functions from base classes - ex conjugate() const; + ex conjugate() const override; // 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; }; +GINAC_DECLARE_UNARCHIVER(diracgammaR); // global functions -/** Specialization of is_exactly_a(obj) for clifford objects. */ -template<> inline bool is_exactly_a(const basic & obj) +/** Check whether a given return_type_t object (as returned by return_type_tinfo() + * is that of a clifford object (with an arbitrary representation label). + * + * @param ti tinfo key */ +inline bool is_clifford_tinfo(const return_type_t& ti) { - return obj.tinfo()==TINFO_clifford; + return *(ti.tinfo) == typeid(clifford); } /** Create a Clifford unity object. @@ -209,7 +208,7 @@ ex dirac_ONE(unsigned char rl = 0); * @param metr Metric (should be indexed, tensmetric or a derived class, or a matrix) * @param rl Representation label * @return newly constructed Clifford unit object */ -ex clifford_unit(const ex & mu, const ex & metr, unsigned char rl = 0, bool anticommuting = false); +ex clifford_unit(const ex & mu, const ex & metr, unsigned char rl = 0); /** Create a Dirac gamma object. * @@ -283,12 +282,16 @@ ex canonicalize_clifford(const ex & e); * clifford units. */ ex clifford_prime(const ex & e); +/** An auxillary function performing clifford_star() and clifford_bar().*/ +ex clifford_star_bar(const ex & e, bool do_bar, unsigned options); + /** Main anti-automorphism of the Clifford algebra: makes reversion * and changes signs of all clifford units. */ -inline ex clifford_bar(const ex & e) { return clifford_prime(e.conjugate()); } +inline ex clifford_bar(const ex & e) { return clifford_star_bar(e, true, 0); } -/** Reversion of the Clifford algebra, coincides with the conjugate(). */ -inline ex clifford_star(const ex & e) { return e.conjugate(); } +/** Reversion of the Clifford algebra, reverse the order of all clifford units + * in ncmul. */ +inline ex clifford_star(const ex & e) { return clifford_star_bar(e, false, 0); } /** Replaces dirac_ONE's (with a representation_label no less than rl) in e with 1. * For the default value rl = 0 remove all of them. Aborts if e contains any @@ -304,7 +307,7 @@ ex remove_dirac_ONE(const ex & e, unsigned char rl = 0, unsigned options = 0); * * @param e Expression to be processed * @ignore_ONE defines if clifford_ONE should be ignored in the search*/ -char clifford_max_label(const ex & e, bool ignore_ONE = false); +int clifford_max_label(const ex & e, bool ignore_ONE = false); /** Calculation of the norm in the Clifford algebra. */ ex clifford_norm(const ex & e); @@ -320,7 +323,7 @@ ex clifford_inverse(const ex & e); * @param rl Representation label * @param e Clifford unit object * @return Clifford vector with given components */ -ex lst_to_clifford(const ex & v, const ex & mu, const ex & metr, unsigned char rl = 0, bool anticommuting = false); +ex lst_to_clifford(const ex & v, const ex & mu, const ex & metr, unsigned char rl = 0); ex lst_to_clifford(const ex & v, const ex & e); /** An inverse function to lst_to_clifford(). For given Clifford vector extracts @@ -348,9 +351,8 @@ lst clifford_to_lst(const ex & e, const ex & c, bool algebraic=true); * @param v Vector to be transformed * @param G Metric of the surrounding space, may be a Clifford unit then the next parameter is ignored * @param rl Representation label - * @param anticommuting indicates if Clifford units anticommutes * @return List of components of the transformed vector*/ -ex clifford_moebius_map(const ex & a, const ex & b, const ex & c, const ex & d, const ex & v, const ex & G, unsigned char rl = 0, bool anticommuting = false); +ex clifford_moebius_map(const ex & a, const ex & b, const ex & c, const ex & d, const ex & v, const ex & G, unsigned char rl = 0); /** The second form of Moebius transformations defined by a 2x2 Clifford matrix M * This function takes the transformation matrix M as a single entity. @@ -359,10 +361,9 @@ ex clifford_moebius_map(const ex & a, const ex & b, const ex & c, const ex & d, * @param v Vector to be transformed * @param G Metric of the surrounding space, may be a Clifford unit then the next parameter is ignored * @param rl Representation label - * @param anticommuting indicates if Clifford units anticommutes * @return List of components of the transformed vector*/ -ex clifford_moebius_map(const ex & M, const ex & v, const ex & G, unsigned char rl = 0, bool anticommuting = false); +ex clifford_moebius_map(const ex & M, const ex & v, const ex & G, unsigned char rl = 0); } // namespace GiNaC -#endif // ndef __GINAC_CLIFFORD_H__ +#endif // ndef GINAC_CLIFFORD_H