X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fidx.h;h=8f952b8453590521d61b27ee28f3c2897a05e4da;hp=a54ad7c339c59347dfcda870cd5bad47ecceef18;hb=a4294a62590d45ad81e66ce59101982dc83dba51;hpb=aef64ef1f63f7b4cb9236c5c189873e48c6c999b

diff --git a/ginac/idx.h b/ginac/idx.h
index a54ad7c3..8f952b84 100644
--- a/ginac/idx.h
+++ b/ginac/idx.h
@@ -47,14 +47,12 @@ public:
 
 	// functions overriding virtual functions from bases classes
 public:
-	void printraw(std::ostream & os) const;
-	void printtree(std::ostream & os, unsigned indent) const;
-	void print(std::ostream & os, unsigned upper_precedence=0) const;
+	void print(const print_context & c, unsigned level = 0) const;
 	bool info(unsigned inf) const;
 	unsigned nops() const;
 	ex & let_op(int i);
-protected:
-	ex subs(const lst & ls, const lst & lr) const;
+	bool match(const ex & pattern, lst & repl_lst) const;
+	ex subs(const lst & ls, const lst & lr, bool no_pattern = false) const;
 
 	// new virtual functions in this class
 public:
@@ -106,7 +104,8 @@ public:
 
 	// functions overriding virtual functions from bases classes
 public:
-	void print(std::ostream & os, unsigned upper_precedence=0) const;
+	void print(const print_context & c, unsigned level = 0) const;
+	bool match(const ex & pattern, lst & repl_lst) const;
 	bool is_dummy_pair_same_type(const basic & other) const;
 
 	// non-virtual functions in this class
@@ -126,6 +125,54 @@ protected:
 };
 
 
+/** This class holds a spinor index that can be dotted or undotted and that
+ *  also has a variance. This is used in the Weyl-van-der-Waerden formalism
+ *  where the dot indicates complex conjugation. There is an associated
+ *  (asymmetric) metric tensor that can be used to raise/lower spinor
+ *  indices. */
+class spinidx : public varidx
+{
+	GINAC_DECLARE_REGISTERED_CLASS(spinidx, varidx)
+
+	// other constructors
+public:
+	/** Construct index with given value, dimension, variance and dot.
+	 *
+	 *  @param v Value of index (numeric or symbolic)
+	 *  @param dim Dimension of index space (numeric or symbolic)
+	 *  @param covariant Make covariant index (default is contravariant)
+	 *  @param dotted Make covariant dotted (default is undotted)
+	 *  @return newly constructed index */
+	spinidx(const ex & v, const ex & dim = 2, bool covariant = false, bool dotted = false);
+
+	// functions overriding virtual functions from bases classes
+public:
+	void print(const print_context & c, unsigned level = 0) const;
+	bool match(const ex & pattern, lst & repl_lst) const;
+	bool is_dummy_pair_same_type(const basic & other) const;
+
+	// non-virtual functions in this class
+public:
+	/** Check whether the index is dotted. */
+	bool is_dotted(void) const {return dotted;}
+
+	/** Check whether the index is not dotted. */
+	bool is_undotted(void) const {return !dotted;}
+
+	/** Make a new index with the same value and variance but the opposite
+	 *  dottedness. */
+	ex toggle_dot(void) const;
+
+	/** Make a new index with the same value but opposite variance and
+	 *  dottedness. */
+	ex toggle_variance_dot(void) const;
+
+	// member variables
+protected:
+	bool dotted;
+};
+
+
 // utility functions
 inline const idx &ex_to_idx(const ex & e)
 {
@@ -137,6 +184,11 @@ inline const varidx &ex_to_varidx(const ex & e)
 	return static_cast<const varidx &>(*e.bp);
 }
 
+inline const spinidx &ex_to_spinidx(const ex & e)
+{
+	return static_cast<const spinidx &>(*e.bp);
+}
+
 /** Check whether two indices form a dummy pair. */
 bool is_dummy_pair(const idx & i1, const idx & i2);
 
@@ -191,10 +243,6 @@ inline unsigned count_free_indices(const exvector & v)
 	return free_indices.size();
 }
 
-/** Given two index vectors, find those indices that appear in the first
- *  vector but not in the second one (asymmetric set difference). */
-exvector index_set_difference(const exvector & set1, const exvector & set2);
-
 } // namespace GiNaC
 
 #endif // ndef __GINAC_IDX_H__