Added complex conjugation methods and GiNaC function "conjugate".

[ginac.git] / ginac / clifford.h

diff --git a/ginac/clifford.h b/ginac/clifford.h
index f1783396995620d63c1a38f24315675f97476742..7d6cc80e0240bc4415ac282af7cd70e3336d56be 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) 1999-2004 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
@@ -45,19 +45,24 @@ public:
 
        // internal constructors
        clifford(unsigned char rl, const exvector & v, bool discardable = false);
-       clifford(unsigned char rl, exvector * vp); // vp will be deleted
+       clifford(unsigned char rl, std::auto_ptr<exvector> vp);
 
        // functions overriding virtual functions from base classes
 protected:
-       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 + representation_label; }
+       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; }
 
        // non-virtual functions in this class
 public:
-       unsigned char get_representation_label(void) const {return representation_label;}
+       unsigned char get_representation_label() const {return representation_label;}
+
+protected:
+       void do_print_dflt(const print_dflt & c, unsigned level) const;
+       void do_print_latex(const print_latex & c, unsigned level) const;
 
        // member variables
 private:
@@ -70,9 +75,10 @@ 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;
+       // 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;
 };
 
 
@@ -81,31 +87,73 @@ 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;
+
+       // 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;
 };
 
 
-/** This class represents the Dirac gamma5 object. */
+/** This class represents the Dirac gamma5 object which anticommutes with
+ *  all other gammas. */
 class diracgamma5 : public tensor
 {
        GINAC_DECLARE_REGISTERED_CLASS(diracgamma5, tensor)
 
-       // functions overriding virtual functions from bases classes
-public:
-       void print(const print_context & c, unsigned level = 0) const;
+       // functions overriding virtual functions from base classes
+       ex conjugate() const;
+
+       // 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;
+};
+
+
+/** 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
+       ex conjugate() const;
+
+       // 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;
+};
+
+
+/** 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
+       ex conjugate() const;
+
+       // 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;
 };
 
 
 // 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
@@ -125,15 +173,40 @@ 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);
+
+/** Create a term of the form e_mu * gamma~mu with a unique index mu.
+ *
+ *  @param e Original expression
+ *  @param dim Dimension of index
+ *  @param rl Representation label */
+ex dirac_slash(const ex & e, const ex & dim, unsigned char rl = 0);
+
 /** Calculate the trace of an expression containing gamma objects with
  *  a specified representation label. The computed trace is a linear
  *  functional that is equal to the usual trace only in D = 4 dimensions.
- *  In particular, the functional is non-cyclic in D != 4 dimensions when
- *  gamma5 is involved.
+ *  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