* Implementation of GiNaC's indexed expressions. */
/*
- * GiNaC Copyright (C) 1999-2003 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
#include "symmetry.h"
#include "operators.h"
#include "lst.h"
-#include "print.h"
#include "archive.h"
#include "utils.h"
namespace GiNaC {
-GINAC_IMPLEMENT_REGISTERED_CLASS(indexed, exprseq)
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(indexed, exprseq,
+ print_func<print_context>(&indexed::do_print).
+ print_func<print_latex>(&indexed::do_print_latex).
+ print_func<print_tree>(&indexed::do_print_tree))
//////////
// default constructor
//////////
-indexed::indexed() : symtree(sy_none())
+indexed::indexed() : symtree(not_symmetric())
{
tinfo_key = TINFO_indexed;
}
// other constructors
//////////
-indexed::indexed(const ex & b) : inherited(b), symtree(sy_none())
+indexed::indexed(const ex & b) : inherited(b), symtree(not_symmetric())
{
tinfo_key = TINFO_indexed;
validate();
}
-indexed::indexed(const ex & b, const ex & i1) : inherited(b, i1), symtree(sy_none())
+indexed::indexed(const ex & b, const ex & i1) : inherited(b, i1), symtree(not_symmetric())
{
tinfo_key = TINFO_indexed;
validate();
}
-indexed::indexed(const ex & b, const ex & i1, const ex & i2) : inherited(b, i1, i2), symtree(sy_none())
+indexed::indexed(const ex & b, const ex & i1, const ex & i2) : inherited(b, i1, i2), symtree(not_symmetric())
{
tinfo_key = TINFO_indexed;
validate();
}
-indexed::indexed(const ex & b, const ex & i1, const ex & i2, const ex & i3) : inherited(b, i1, i2, i3), symtree(sy_none())
+indexed::indexed(const ex & b, const ex & i1, const ex & i2, const ex & i3) : inherited(b, i1, i2, i3), symtree(not_symmetric())
{
tinfo_key = TINFO_indexed;
validate();
}
-indexed::indexed(const ex & b, const ex & i1, const ex & i2, const ex & i3, const ex & i4) : inherited(b, i1, i2, i3, i4), symtree(sy_none())
+indexed::indexed(const ex & b, const ex & i1, const ex & i2, const ex & i3, const ex & i4) : inherited(b, i1, i2, i3, i4), symtree(not_symmetric())
{
tinfo_key = TINFO_indexed;
validate();
validate();
}
-indexed::indexed(const ex & b, const exvector & v) : inherited(b), symtree(sy_none())
+indexed::indexed(const ex & b, const exvector & v) : inherited(b), symtree(not_symmetric())
{
seq.insert(seq.end(), v.begin(), v.end());
tinfo_key = TINFO_indexed;
tinfo_key = TINFO_indexed;
}
-indexed::indexed(const symmetry & symm, exvector * vp) : inherited(vp), symtree(symm)
+indexed::indexed(const symmetry & symm, std::auto_ptr<exvector> vp) : inherited(vp), symtree(symm)
{
tinfo_key = TINFO_indexed;
}
symtree = sy_anti();
break;
default:
- symtree = sy_none();
+ symtree = not_symmetric();
break;
}
const_cast<symmetry &>(ex_to<symmetry>(symtree)).validate(seq.size() - 1);
// functions overriding virtual functions from base classes
//////////
-void indexed::print(const print_context & c, unsigned level) const
+void indexed::printindices(const print_context & c, unsigned level) const
{
- GINAC_ASSERT(seq.size() > 0);
-
- if (is_a<print_tree>(c)) {
+ if (seq.size() > 1) {
- c.s << std::string(level, ' ') << class_name()
- << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
- << ", " << seq.size()-1 << " indices"
- << ", symmetry=" << symtree << std::endl;
- unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
- seq[0].print(c, level + delta_indent);
- printindices(c, level + delta_indent);
+ exvector::const_iterator it=seq.begin() + 1, itend = seq.end();
- } else {
+ if (is_a<print_latex>(c)) {
- bool is_tex = is_a<print_latex>(c);
- const ex & base = seq[0];
+ // TeX output: group by variance
+ bool first = true;
+ bool covariant = true;
- if (precedence() <= level)
- c.s << (is_tex ? "{(" : "(");
- if (is_tex)
- c.s << "{";
- base.print(c, precedence());
- if (is_tex)
+ while (it != itend) {
+ bool cur_covariant = (is_a<varidx>(*it) ? ex_to<varidx>(*it).is_covariant() : true);
+ if (first || cur_covariant != covariant) { // Variance changed
+ // The empty {} prevents indices from ending up on top of each other
+ if (!first)
+ c.s << "}{}";
+ covariant = cur_covariant;
+ if (covariant)
+ c.s << "_{";
+ else
+ c.s << "^{";
+ }
+ it->print(c, level);
+ c.s << " ";
+ first = false;
+ it++;
+ }
c.s << "}";
- printindices(c, level);
- if (precedence() <= level)
- c.s << (is_tex ? ")}" : ")");
+
+ } else {
+
+ // Ordinary output
+ while (it != itend) {
+ it->print(c, level);
+ it++;
+ }
+ }
}
}
+void indexed::print_indexed(const print_context & c, const char *openbrace, const char *closebrace, unsigned level) const
+{
+ if (precedence() <= level)
+ c.s << openbrace << '(';
+ c.s << openbrace;
+ seq[0].print(c, precedence());
+ c.s << closebrace;
+ printindices(c, level);
+ if (precedence() <= level)
+ c.s << ')' << closebrace;
+}
+
+void indexed::do_print(const print_context & c, unsigned level) const
+{
+ print_indexed(c, "", "", level);
+}
+
+void indexed::do_print_latex(const print_latex & c, unsigned level) const
+{
+ print_indexed(c, "{", "}", level);
+}
+
+void indexed::do_print_tree(const print_tree & c, unsigned level) const
+{
+ c.s << std::string(level, ' ') << class_name() << " @" << this
+ << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+ << ", " << seq.size()-1 << " indices"
+ << ", symmetry=" << symtree << std::endl;
+ seq[0].print(c, level + c.delta_indent);
+ printindices(c, level + c.delta_indent);
+}
+
bool indexed::info(unsigned inf) const
{
if (inf == info_flags::indexed) return true;
return indexed(ex_to<symmetry>(symtree), v);
}
-ex indexed::thiscontainer(exvector * vp) const
+ex indexed::thiscontainer(std::auto_ptr<exvector> vp) const
{
return indexed(ex_to<symmetry>(symtree), vp);
}
{
GINAC_ASSERT(seq.size() > 0);
- if ((options & expand_options::expand_indexed) && is_exactly_a<add>(seq[0])) {
-
- // expand_indexed expands (a+b).i -> a.i + b.i
- const ex & base = seq[0];
- ex sum = _ex0;
- for (size_t i=0; i<base.nops(); i++) {
+ if (options & expand_options::expand_indexed) {
+ ex newbase = seq[0].expand(options);
+ if (is_exactly_a<add>(newbase)) {
+ ex sum = _ex0;
+ for (size_t i=0; i<newbase.nops(); i++) {
+ exvector s = seq;
+ s[0] = newbase.op(i);
+ sum += thiscontainer(s).expand(options);
+ }
+ return sum;
+ }
+ if (!are_ex_trivially_equal(newbase, seq[0])) {
exvector s = seq;
- s[0] = base.op(i);
- sum += thiscontainer(s).expand();
+ s[0] = newbase;
+ return ex_to<indexed>(thiscontainer(s)).inherited::expand(options);
}
- return sum;
-
- } else
- return inherited::expand(options);
+ }
+ return inherited::expand(options);
}
//////////
// non-virtual functions in this class
//////////
-void indexed::printindices(const print_context & c, unsigned level) const
-{
- if (seq.size() > 1) {
-
- exvector::const_iterator it=seq.begin() + 1, itend = seq.end();
-
- if (is_a<print_latex>(c)) {
-
- // TeX output: group by variance
- bool first = true;
- bool covariant = true;
-
- while (it != itend) {
- bool cur_covariant = (is_a<varidx>(*it) ? ex_to<varidx>(*it).is_covariant() : true);
- if (first || cur_covariant != covariant) { // Variance changed
- // The empty {} prevents indices from ending up on top of each other
- if (!first)
- c.s << "}{}";
- covariant = cur_covariant;
- if (covariant)
- c.s << "_{";
- else
- c.s << "^{";
- }
- it->print(c, level);
- c.s << " ";
- first = false;
- it++;
- }
- c.s << "}";
-
- } else {
-
- // Ordinary output
- while (it != itend) {
- it->print(c, level);
- it++;
- }
- }
- }
-}
-
/** Check whether all indices are of class idx and validate the symmetry
* tree. This function is used internally to make sure that all constructed
* indexed objects really carry indices and not some other classes. */
return free_indices;
}
+struct is_summation_idx : public std::unary_function<ex, bool> {
+ bool operator()(const ex & e)
+ {
+ return is_dummy_pair(e, e);
+ }
+};
+
exvector power::get_free_indices() const
{
- // Return free indices of basis
- return basis.get_free_indices();
+ // Get free indices of basis
+ exvector basis_indices = basis.get_free_indices();
+
+ if (exponent.info(info_flags::even)) {
+ // If the exponent is an even number, then any "free" index that
+ // forms a dummy pair with itself is actually a summation index
+ exvector really_free;
+ std::remove_copy_if(basis_indices.begin(), basis_indices.end(),
+ std::back_inserter(really_free), is_summation_idx());
+ return really_free;
+ } else
+ return basis_indices;
}
/** Rename dummy indices in an expression.
* the free indices in sums are consistent.
*
* @return simplified expression */
-ex ex::simplify_indexed() const
+ex ex::simplify_indexed(unsigned options) const
{
exvector free_indices, dummy_indices;
scalar_products sp;
*
* @param sp Scalar products to be replaced automatically
* @return simplified expression */
-ex ex::simplify_indexed(const scalar_products & sp) const
+ex ex::simplify_indexed(const scalar_products & sp, unsigned options) const
{
exvector free_indices, dummy_indices;
return GiNaC::simplify_indexed(*this, free_indices, dummy_indices, sp);
git://www.ginac.de / ginac.git / blobdiff