* Interface to GiNaC's indexed expressions. */
/*
- * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2008 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
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#ifndef __GINAC_INDEXED_H__
// internal constructors
indexed(const symmetry & symm, const exprseq & es);
indexed(const symmetry & symm, const exvector & v, bool discardable = false);
- indexed(const symmetry & symm, exvector * vp); // vp will be deleted
+ indexed(const symmetry & symm, std::auto_ptr<exvector> vp);
// functions overriding virtual functions from base classes
public:
unsigned precedence() const {return 55;}
bool info(unsigned inf) const;
ex eval(int level = 0) const;
+ ex real_part() const;
+ ex imag_part() const;
exvector get_free_indices() const;
protected:
ex derivative(const symbol & s) const;
ex thiscontainer(const exvector & v) const;
- ex thiscontainer(exvector * vp) const;
- unsigned return_type() const { return return_types::commutative; }
+ ex thiscontainer(std::auto_ptr<exvector> vp) const;
+ unsigned return_type() const;
+ tinfo_t return_type_tinfo() const { return op(0).return_type_tinfo(); }
ex expand(unsigned options = 0) const;
// new virtual functions which can be overridden by derived classes
exvector get_dummy_indices() const;
/** Return a vector containing the dummy indices in the contraction with
- * another indexed object. */
+ * another indexed object. This is symmetric: a.get_dummy_indices(b)
+ * == b.get_dummy_indices(a) */
exvector get_dummy_indices(const indexed & other) const;
/** Check whether the object has an index that forms a dummy index pair
// utility functions
-/** Specialization of is_exactly_a<indexed>(obj) for indexed objects. */
-template<> inline bool is_exactly_a<indexed>(const basic & obj)
-{
- return obj.tinfo()==TINFO_indexed;
-}
+/** Returns all dummy indices from the expression */
+exvector get_all_dummy_indices(const ex & e);
+
+/** More reliable version of the form. The former assumes that e is an
+ * expanded epxression. */
+exvector get_all_dummy_indices_safely(const ex & e);
+
+/** Returns b with all dummy indices, which are listed in va, renamed
+ * if modify_va is set to TRUE all dummy indices of b will be appended to va */
+ex rename_dummy_indices_uniquely(exvector & va, const ex & b, bool modify_va = false);
+
+/** Returns b with all dummy indices, which are common with a, renamed */
+ex rename_dummy_indices_uniquely(const ex & a, const ex & b);
+
+/** Same as above, where va and vb contain the indices of a and b and are sorted */
+ex rename_dummy_indices_uniquely(const exvector & va, const exvector & vb, const ex & b);
+
+/** Similar to above, where va and vb are the same and the return value is a list of two lists
+ * for substitution in b */
+lst rename_dummy_indices_uniquely(const exvector & va, const exvector & vb);
+
+/** This function returns the given expression with expanded sums
+ * for all dummy index summations, where the dimensionality of
+ * the dummy index is a nonnegative integer.
+ * Optionally all indices with a variance will be substituted by
+ * indices with the corresponding numeric values without variance.
+ *
+ * @param e the given expression
+ * @param subs_idx indicates if variance of dummy indixes should be neglected
+ */
+ex expand_dummy_sum(const ex & e, bool subs_idx = false);
} // namespace GiNaC