/** @file clifford.h
*
- * Interface to GiNaC's clifford objects. */
+ * Interface to GiNaC's clifford algebra (Dirac gamma) objects. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 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
#ifndef __GINAC_CLIFFORD_H__
#define __GINAC_CLIFFORD_H__
-#include <string>
#include "indexed.h"
-#include "ex.h"
+#include "tensor.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
-/** Base class for clifford object */
+
+/** 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. */
class clifford : public indexed
{
-// member functions
+ GINAC_DECLARE_REGISTERED_CLASS(clifford, indexed)
- // default constructor, destructor, copy constructor assignment operator and helpers
+ // other constructors
public:
- clifford();
- ~clifford();
- clifford(const clifford & other);
- const clifford & operator=(const clifford & other);
-protected:
- void copy(const clifford & other);
- void destroy(bool call_parent);
+ clifford(const ex & b);
+ clifford(const ex & b, const ex & mu);
- // other constructors
-public:
- explicit clifford(const string & initname);
+ // internal constructors
+ clifford(const exvector & v, bool discardable = false);
+ clifford(exvector * vp); // vp will be deleted
- // functions overriding virtual functions from base classes
-public:
- basic * duplicate() const;
- void printraw(ostream & os) const;
- void printtree(ostream & os, unsigned indent) const;
- void print(ostream & os, unsigned upper_precedence=0) const;
- void printcsrc(ostream & os, unsigned type, unsigned upper_precedence=0) const;
- bool info(unsigned inf) const;
+ // functions overriding virtual functions from base classes
protected:
- int compare_same_type(const basic & other) const;
- ex simplify_ncmul(const exvector & v) const;
- unsigned calchash(void) const;
-
- // new virtual functions which can be overridden by derived classes
- // none
-
- // non-virtual functions in this class
-public:
- void setname(const string & n);
-private:
- string & autoname_prefix(void);
+ 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; }
+};
-// member variables
-protected:
- string name;
- unsigned serial; // unique serial number for comparision
-private:
- static unsigned next_serial;
+/** This class represents the Clifford algebra unity element. */
+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;
};
-// global constants
-extern const clifford some_clifford;
-extern const type_info & typeid_clifford;
+/** This class represents the Dirac gamma Lorentz vector. */
+class diracgamma : public tensor
+{
+ GINAC_DECLARE_REGISTERED_CLASS(diracgamma, tensor)
-// utility functions
+ // functions overriding virtual functions from bases classes
+public:
+ void print(const print_context & c, unsigned level = 0) const;
+ bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
+};
+
+
+// global functions
inline const clifford &ex_to_clifford(const ex &e)
{
return static_cast<const clifford &>(*e.bp);
}
-#ifndef NO_NAMESPACE_GINAC
+
+/** Create a Clifford unity object.
+ *
+ * @return newly constructed object */
+ex dirac_one(void);
+
+/** Create a Dirac gamma object.
+ *
+ * @param mu Index (must be of class varidx or a derived class)
+ * @return newly constructed gamma object */
+ex dirac_gamma(const ex & mu);
+
+
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
#endif // ndef __GINAC_CLIFFORD_H__