* Oops, forgot to cvs add the two new files in last commit.

[ginac.git] / ginac / tensor.h

diff --git a/ginac/tensor.h b/ginac/tensor.h
index 7396aca177ee38b36905b94038eed109bae18b67..446ede8653e467adb35f147ef6d53a329aae18bb 100644 (file)
--- a/ginac/tensor.h
+++ b/ginac/tensor.h
@@ -3,7 +3,7 @@
  *  Interface to GiNaC's special tensors. */
 
 /*
- *  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
@@ -37,11 +37,18 @@ class tensor : public basic
 
        // other constructors
 protected:
-       tensor(unsigned ti);
+       tensor(unsigned ti) : inherited(ti) {}
 
-       // functions overriding virtual functions from bases classes
+       // functions overriding virtual functions from base classes
 protected:
-       unsigned return_type(void) const { return return_types::noncommutative_composite; }
+       unsigned return_type() const { return return_types::noncommutative_composite; }
+
+       // non-virtual functions in this class
+public:
+       /** Replace dummy index in contracted-with object by the contracting
+        *  object's second index (used internally for delta and metric tensor
+        *  contractions. */
+       bool replace_contr_index(exvector::iterator self, exvector::iterator other) const;
 };
 
 
@@ -51,11 +58,15 @@ class tensdelta : public tensor
 {
        GINAC_DECLARE_REGISTERED_CLASS(tensdelta, 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;
        ex eval_indexed(const basic & i) 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;
 };
 
 
@@ -66,11 +77,14 @@ class tensmetric : public tensor
 {
        GINAC_DECLARE_REGISTERED_CLASS(tensmetric, 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;
        ex eval_indexed(const basic & i) 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;
 };
 
 
@@ -86,17 +100,41 @@ public:
        /** Construct Lorentz metric tensor with given signature. */
        minkmetric(bool pos_sig);
 
-       // 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;
        ex eval_indexed(const basic & i) 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;
+
        // member variables
 private:
        bool pos_sig; /**< If true, the metric is diag(-1,1,1...). Otherwise it is diag(1,-1,-1,...). */
 };
 
 
+/** This class represents an antisymmetric spinor metric tensor which
+ *  can be used to raise/lower indices of 2-component Weyl spinors. If
+ *  indexed, it must have exactly two indices of the same type which
+ *  must be of class spinidx or a subclass and have dimension 2. */
+class spinmetric : public tensmetric
+{
+       GINAC_DECLARE_REGISTERED_CLASS(spinmetric, tensmetric)
+
+       // functions overriding virtual functions from base classes
+public:
+       ex eval_indexed(const basic & i) 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 totally antisymmetric epsilon tensor. If
  *  indexed, all indices must be of the same type and their number must
  *  be equal to the dimension of the index space. */
@@ -108,23 +146,24 @@ class tensepsilon : public tensor
 public:
        tensepsilon(bool minkowski, bool pos_sig);
 
-       // 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;
        ex eval_indexed(const basic & i) 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;
 
        // member variables
 private:
        bool minkowski; /**< If true, tensor is in Minkowski-type space. Otherwise it is in a Euclidean space. */
-       bool pos_sig;  /**< If true, the metric is assumed to be diag(-1,1,1...). Otherwise it is diag(1,-1,-1,...). This is only relevant if minkowski = true. */
+       bool pos_sig;   /**< If true, the metric is assumed to be diag(-1,1,1...). Otherwise it is diag(1,-1,-1,...). This is only relevant if minkowski = true. */
 };
 
 
 // utility functions
-inline const tensor &ex_to_tensor(const ex &e)
-{
-       return static_cast<const tensor &>(*e.bp);
-}
 
 /** Create a delta tensor with specified indices. The indices must be of class
  *  idx or a subclass. The delta tensor is always symmetric and its trace is
@@ -155,6 +194,16 @@ ex metric_tensor(const ex & i1, const ex & i2);
  *  @return newly constructed Lorentz metric tensor */
 ex lorentz_g(const ex & i1, const ex & i2, bool pos_sig = false);
 
+/** Create a spinor metric tensor with specified indices. The indices must be
+ *  of class spinidx or a subclass and have a dimension of 2. The spinor
+ *  metric is an antisymmetric tensor with a matrix representation of
+ *  [[ [[ 0, 1 ]], [[ -1, 0 ]] ]].
+ *
+ *  @param i1 First index
+ *  @param i2 Second index
+ *  @return newly constructed spinor metric tensor */
+ex spinor_metric(const ex & i1, const ex & i2);
+
 /** Create an epsilon tensor in a Euclidean space with two indices. The
  *  indices must be of class idx or a subclass, and have a dimension of 2.
  *