- prepared for 1.0.13 release

[ginac.git] / ginac / clifford.h

diff --git a/ginac/clifford.h b/ginac/clifford.h
index af3cb7883568dea7fda15ade6d1abf191fd4ca99..ce5d2acfd50a6b3430d5717c9aa125389d19f3fc 100644 (file)
--- 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
@@ -48,8 +48,12 @@ public:
        clifford(unsigned char rl, exvector * vp); // vp will be deleted
 
        // functions overriding virtual functions from base classes
+public:
+       void print(const print_context & c, unsigned level = 0) const;
+
 protected:
        ex simplify_ncmul(const exvector & v) const;
+       bool match_same_type(const basic & other) const;
        ex thisexprseq(const exvector & v) const;
        ex thisexprseq(exvector * vp) const;
        unsigned return_type(void) const { return return_types::noncommutative; }
@@ -70,7 +74,7 @@ class diracone : public tensor
 {
        GINAC_DECLARE_REGISTERED_CLASS(diracone, 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;
 };
@@ -81,7 +85,7 @@ 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;
@@ -94,19 +98,44 @@ class diracgamma5 : public tensor
 {
        GINAC_DECLARE_REGISTERED_CLASS(diracgamma5, 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;
+};
+
+
+/** This class represents the Dirac gammaL object which behaves like
+ *  1/2 (1-gamma5). */
+class diracgammaL : public tensor
+{
+       GINAC_DECLARE_REGISTERED_CLASS(diracgammaL, tensor)
+
+       // functions overriding virtual functions from base classes
+public:
+       void print(const print_context & c, unsigned level = 0) 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)
+
+       // functions overriding virtual functions from base classes
 public:
        void print(const print_context & c, unsigned level = 0) const;
 };
 
 
 // global functions
-inline const clifford &ex_to_clifford(const ex &e)
+
+/** Specialization of is_exactly_a<clifford>(obj) for clifford objects. */
+template<> inline bool is_exactly_a<clifford>(const basic & obj)
 {
-       return static_cast<const clifford &>(*e.bp);
+       return obj.tinfo()==TINFO_clifford;
 }
 
-
 /** Create a Clifford unity object.
  *
  *  @param rl Representation label
@@ -126,6 +155,22 @@ ex dirac_gamma(const ex & mu, unsigned char rl = 0);
  *  @return newly constructed object */
 ex dirac_gamma5(unsigned char rl = 0);
 
+/** Create a Dirac gammaL object.
+ *
+ *  @param rl Representation label
+ *  @return newly constructed object */
+ex dirac_gammaL(unsigned char rl = 0);
+
+/** Create a Dirac gammaR object.
+ *
+ *  @param rl Representation label
+ *  @return newly constructed object */
+ex dirac_gammaR(unsigned char rl = 0);
+
+// These functions are deprecated. Use dirac_gammaL/R() instead.
+ex dirac_gamma6(unsigned char rl = 0);
+ex dirac_gamma7(unsigned char rl = 0);
+
 /** Create a term of the form e_mu * gamma~mu with a unique index mu.
  *
  *  @param dim Dimension of index
@@ -138,9 +183,15 @@ 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