* Interface to GiNaC's clifford algebra (Dirac gamma) objects. */
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2014 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
* 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"
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
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<exvector> vp);
+ clifford(unsigned char rl, const ex & metr, int comm_sign, const exvector & v, bool discardable = false);
+ clifford(unsigned char rl, const ex & metr, int comm_sign, std::auto_ptr<exvector> vp);
// functions overriding virtual functions from base classes
public:
unsigned precedence() const { return 65; }
+ void archive(archive_node& n) const;
+ void read_archive(const archive_node& n, lst& sym_lst);
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<exvector> vp) const;
unsigned return_type() const { return return_types::noncommutative; }
- unsigned return_type_tinfo() const { return TINFO_clifford + representation_label; }
-
+ return_type_t return_type_tinfo() const;
// 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<clifford>(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<clifford>(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<clifford>(ex(*this).subs(e, options)); c.metric_subs(e, options); return c;};
+ ex subs(const exmap & m, unsigned options = 0) const;
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); }
// 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
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). */
{
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;
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. */
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
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
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
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<clifford>(obj) for clifford objects. */
-template<> inline bool is_exactly_a<clifford>(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.
* @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.
*
*
* @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);
* @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
* @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.
* @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
git://www.ginac.de / ginac.git / blobdiff