* Implementation of GiNaC's special tensors. */
/*
- * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2006 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
*/
#include <iostream>
#include "lst.h"
#include "numeric.h"
#include "matrix.h"
-#include "print.h"
#include "archive.h"
#include "utils.h"
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS(tensor, basic)
-GINAC_IMPLEMENT_REGISTERED_CLASS(tensdelta, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(tensmetric, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(minkmetric, tensmetric)
-GINAC_IMPLEMENT_REGISTERED_CLASS(spinmetric, tensmetric)
-GINAC_IMPLEMENT_REGISTERED_CLASS(tensepsilon, tensor)
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(tensdelta, tensor,
+ print_func<print_dflt>(&tensdelta::do_print).
+ print_func<print_latex>(&tensdelta::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(tensmetric, tensor,
+ print_func<print_dflt>(&tensmetric::do_print).
+ print_func<print_latex>(&tensmetric::do_print))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(minkmetric, tensmetric,
+ print_func<print_dflt>(&minkmetric::do_print).
+ print_func<print_latex>(&minkmetric::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(spinmetric, tensmetric,
+ print_func<print_dflt>(&spinmetric::do_print).
+ print_func<print_latex>(&spinmetric::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(tensepsilon, tensor,
+ print_func<print_dflt>(&tensepsilon::do_print).
+ print_func<print_latex>(&tensepsilon::do_print_latex))
//////////
// constructors
//////////
-tensor::tensor() : inherited(TINFO_tensor)
+tensor::tensor() : inherited(&tensor::tinfo_static)
{
setflag(status_flags::evaluated | status_flags::expanded);
}
minkmetric::minkmetric() : pos_sig(false)
{
- tinfo_key = TINFO_minkmetric;
+ tinfo_key = &minkmetric::tinfo_static;
}
spinmetric::spinmetric()
{
- tinfo_key = TINFO_spinmetric;
+ tinfo_key = &spinmetric::tinfo_static;
}
minkmetric::minkmetric(bool ps) : pos_sig(ps)
{
- tinfo_key = TINFO_minkmetric;
+ tinfo_key = &minkmetric::tinfo_static;
}
tensepsilon::tensepsilon() : minkowski(false), pos_sig(false)
{
- tinfo_key = TINFO_tensepsilon;
+ tinfo_key = &tensepsilon::tinfo_static;
}
tensepsilon::tensepsilon(bool mink, bool ps) : minkowski(mink), pos_sig(ps)
{
- tinfo_key = TINFO_tensepsilon;
+ tinfo_key = &tensepsilon::tinfo_static;
}
//////////
DEFAULT_COMPARE(tensmetric)
DEFAULT_COMPARE(spinmetric)
+bool tensdelta::info(unsigned inf) const
+{
+ if(inf == info_flags::real)
+ return true;
+
+ return false;
+}
+
+bool tensmetric::info(unsigned inf) const
+{
+ if(inf == info_flags::real)
+ return true;
+
+ return false;
+}
+
int minkmetric::compare_same_type(const basic & other) const
{
GINAC_ASSERT(is_a<minkmetric>(other));
return inherited::compare_same_type(other);
}
+bool minkmetric::info(unsigned inf) const
+{
+ if(inf == info_flags::real)
+ return true;
+
+ return false;
+}
+
int tensepsilon::compare_same_type(const basic & other) const
{
GINAC_ASSERT(is_a<tensepsilon>(other));
return inherited::compare_same_type(other);
}
+bool tensepsilon::info(unsigned inf) const
+{
+ if(inf == info_flags::real)
+ return true;
+
+ return false;
+}
+
+bool spinmetric::info(unsigned inf) const
+{
+ if(inf == info_flags::real)
+ return true;
+
+ return false;
+}
+
DEFAULT_PRINT_LATEX(tensdelta, "delta", "\\delta")
DEFAULT_PRINT(tensmetric, "g")
DEFAULT_PRINT_LATEX(minkmetric, "eta", "\\eta")
// dimension
if (!i1.get_dim().is_equal(i2.get_dim())) {
ex min_dim = i1.minimal_dim(i2);
- return i.subs(lst(i1 == i1.replace_dim(min_dim), i2 == i2.replace_dim(min_dim)));
+ exmap m;
+ m[i1] = i1.replace_dim(min_dim);
+ m[i2] = i2.replace_dim(min_dim);
+ return i.subs(m, subs_options::no_pattern);
}
// Trace of delta tensor is the (effective) dimension of the space
// dimension
if (!i1.get_dim().is_equal(i2.get_dim())) {
ex min_dim = i1.minimal_dim(i2);
- return i.subs(lst(i1 == i1.replace_dim(min_dim), i2 == i2.replace_dim(min_dim)));
+ exmap m;
+ m[i1] = i1.replace_dim(min_dim);
+ m[i2] = i2.replace_dim(min_dim);
+ return i.subs(m, subs_options::no_pattern);
}
// A metric tensor with one covariant and one contravariant index gets
again:
if (self_idx->is_symbolic()) {
for (size_t i=1; i<other->nops(); i++) {
+ if (! is_a<idx>(other->op(i)))
+ continue;
const idx &other_idx = ex_to<idx>(other->op(i));
if (is_dummy_pair(*self_idx, other_idx)) {
ex delta_tensor(const ex & i1, const ex & i2)
{
+ static ex delta = (new tensdelta)->setflag(status_flags::dynallocated);
+
if (!is_a<idx>(i1) || !is_a<idx>(i2))
throw(std::invalid_argument("indices of delta tensor must be of type idx"));
- return indexed(tensdelta(), sy_symm(), i1, i2);
+ return indexed(delta, symmetric2(), i1, i2);
}
ex metric_tensor(const ex & i1, const ex & i2)
{
+ static ex metric = (new tensmetric)->setflag(status_flags::dynallocated);
+
if (!is_a<varidx>(i1) || !is_a<varidx>(i2))
throw(std::invalid_argument("indices of metric tensor must be of type varidx"));
- return indexed(tensmetric(), sy_symm(), i1, i2);
+ return indexed(metric, symmetric2(), i1, i2);
}
ex lorentz_g(const ex & i1, const ex & i2, bool pos_sig)
{
+ static ex metric_neg = (new minkmetric(false))->setflag(status_flags::dynallocated);
+ static ex metric_pos = (new minkmetric(true))->setflag(status_flags::dynallocated);
+
if (!is_a<varidx>(i1) || !is_a<varidx>(i2))
throw(std::invalid_argument("indices of metric tensor must be of type varidx"));
- return indexed(minkmetric(pos_sig), sy_symm(), i1, i2);
+ return indexed(pos_sig ? metric_pos : metric_neg, symmetric2(), i1, i2);
}
ex spinor_metric(const ex & i1, const ex & i2)
{
+ static ex metric = (new spinmetric)->setflag(status_flags::dynallocated);
+
if (!is_a<spinidx>(i1) || !is_a<spinidx>(i2))
throw(std::invalid_argument("indices of spinor metric must be of type spinidx"));
if (!ex_to<idx>(i1).get_dim().is_equal(2) || !ex_to<idx>(i2).get_dim().is_equal(2))
throw(std::runtime_error("index dimension for spinor metric must be 2"));
- return indexed(spinmetric(), sy_anti(), i1, i2);
+ return indexed(metric, antisymmetric2(), i1, i2);
}
ex epsilon_tensor(const ex & i1, const ex & i2)
{
+ static ex epsilon = (new tensepsilon)->setflag(status_flags::dynallocated);
+
if (!is_a<idx>(i1) || !is_a<idx>(i2))
throw(std::invalid_argument("indices of epsilon tensor must be of type idx"));
if (!ex_to<idx>(i1).get_dim().is_equal(_ex2))
throw(std::runtime_error("index dimension of epsilon tensor must match number of indices"));
- return indexed(tensepsilon(), sy_anti(), i1, i2);
+ if(is_a<wildcard>(i1.op(0))||is_a<wildcard>(i2.op(0)))
+ return indexed(epsilon, antisymmetric2(), i1, i2).hold();
+
+ return indexed(epsilon, antisymmetric2(), i1, i2);
}
ex epsilon_tensor(const ex & i1, const ex & i2, const ex & i3)
{
+ static ex epsilon = (new tensepsilon)->setflag(status_flags::dynallocated);
+
if (!is_a<idx>(i1) || !is_a<idx>(i2) || !is_a<idx>(i3))
throw(std::invalid_argument("indices of epsilon tensor must be of type idx"));
if (!ex_to<idx>(i1).get_dim().is_equal(_ex3))
throw(std::runtime_error("index dimension of epsilon tensor must match number of indices"));
- return indexed(tensepsilon(), sy_anti(), i1, i2, i3);
+ if(is_a<wildcard>(i1.op(0))||is_a<wildcard>(i2.op(0))||is_a<wildcard>(i3.op(0)))
+ return indexed(epsilon, antisymmetric3(), i1, i2, i3).hold();
+
+ return indexed(epsilon, antisymmetric3(), i1, i2, i3);
}
ex lorentz_eps(const ex & i1, const ex & i2, const ex & i3, const ex & i4, bool pos_sig)
{
+ static ex epsilon_neg = (new tensepsilon(true, false))->setflag(status_flags::dynallocated);
+ static ex epsilon_pos = (new tensepsilon(true, true))->setflag(status_flags::dynallocated);
+
if (!is_a<varidx>(i1) || !is_a<varidx>(i2) || !is_a<varidx>(i3) || !is_a<varidx>(i4))
throw(std::invalid_argument("indices of Lorentz epsilon tensor must be of type varidx"));
if (!ex_to<idx>(i1).get_dim().is_equal(_ex4))
throw(std::runtime_error("index dimension of epsilon tensor must match number of indices"));
- return indexed(tensepsilon(true, pos_sig), sy_anti(), i1, i2, i3, i4);
+ if(is_a<wildcard>(i1.op(0))||is_a<wildcard>(i2.op(0))||is_a<wildcard>(i3.op(0))||is_a<wildcard>(i4.op(0)))
+ return indexed(pos_sig ? epsilon_pos : epsilon_neg, antisymmetric4(), i1, i2, i3, i4).hold();
+
+ return indexed(pos_sig ? epsilon_pos : epsilon_neg, antisymmetric4(), i1, i2, i3, i4);
}
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff