* Interface to GiNaC's clifford algebra (Dirac gamma) objects. */
/*
- * GiNaC Copyright (C) 1999-2008 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2019 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
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, int comm_sign, const exvector & v, bool discardable = false);
- clifford(unsigned char rl, const ex & metr, int comm_sign, std::auto_ptr<exvector> 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<exvector> vp) const;
- unsigned return_type() const { return return_types::noncommutative; }
- return_type_t return_type_tinfo() const;
+ 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; }
bool same_metric(const ex & other) const;
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;
+ 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 do_print_tree(const print_tree & c, unsigned level) const;
// member variables
protected:
ex metric; /**< Metric of the space, all constructors make it an indexed object */
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). */
// 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. */
// 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
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
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
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
* 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
*
* @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);
} // namespace GiNaC
-#endif // ndef __GINAC_CLIFFORD_H__
+#endif // ndef GINAC_CLIFFORD_H
git://www.ginac.de / ginac.git / blobdiff