* Implementation of GiNaC's color (SU(3) Lie algebra) objects. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2007 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 "idx.h"
#include "ncmul.h"
#include "symmetry.h"
+#include "operators.h"
#include "numeric.h"
#include "mul.h"
#include "power.h" // for sqrt()
#include "symbol.h"
-#include "print.h"
#include "archive.h"
#include "utils.h"
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS(color, indexed)
-GINAC_IMPLEMENT_REGISTERED_CLASS(su3one, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(su3t, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(su3f, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(su3d, tensor)
+
+const tinfo_static_t color::return_type_tinfo_static[256] = {{}};
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3one, tensor,
+ print_func<print_dflt>(&su3one::do_print).
+ print_func<print_latex>(&su3one::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3t, tensor,
+ print_func<print_dflt>(&su3t::do_print).
+ print_func<print_latex>(&su3t::do_print))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3f, tensor,
+ print_func<print_dflt>(&su3f::do_print).
+ print_func<print_latex>(&su3f::do_print))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3d, tensor,
+ print_func<print_dflt>(&su3d::do_print).
+ print_func<print_latex>(&su3d::do_print))
//////////
-// default ctor, dtor, copy ctor, assignment operator and helpers
+// default constructors
//////////
color::color() : representation_label(0)
{
- tinfo_key = TINFO_color;
-}
-
-void color::copy(const color & other)
-{
- inherited::copy(other);
- representation_label = other.representation_label;
+ tinfo_key = &color::tinfo_static;
}
-DEFAULT_DESTROY(color)
-DEFAULT_CTORS(su3one)
-DEFAULT_CTORS(su3t)
-DEFAULT_CTORS(su3f)
-DEFAULT_CTORS(su3d)
+DEFAULT_CTOR(su3one)
+DEFAULT_CTOR(su3t)
+DEFAULT_CTOR(su3f)
+DEFAULT_CTOR(su3d)
//////////
// other constructors
* @see color_ONE */
color::color(const ex & b, unsigned char rl) : inherited(b), representation_label(rl)
{
- tinfo_key = TINFO_color;
+ tinfo_key = &color::tinfo_static;
}
/** Construct object with one color index. This constructor is for internal
* @see color_T */
color::color(const ex & b, const ex & i1, unsigned char rl) : inherited(b, i1), representation_label(rl)
{
- tinfo_key = TINFO_color;
+ tinfo_key = &color::tinfo_static;
}
-color::color(unsigned char rl, const exvector & v, bool discardable) : inherited(sy_none(), v, discardable), representation_label(rl)
+color::color(unsigned char rl, const exvector & v, bool discardable) : inherited(not_symmetric(), v, discardable), representation_label(rl)
{
- tinfo_key = TINFO_color;
+ tinfo_key = &color::tinfo_static;
}
-color::color(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), representation_label(rl)
+color::color(unsigned char rl, std::auto_ptr<exvector> vp) : inherited(not_symmetric(), vp), representation_label(rl)
{
- tinfo_key = TINFO_color;
+ tinfo_key = &color::tinfo_static;
}
//////////
// archiving
//////////
-color::color(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+color::color(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
{
unsigned rl;
n.find_unsigned("label", rl);
/** Perform automatic simplification on noncommutative product of color
* objects. This removes superfluous ONEs. */
-ex color::simplify_ncmul(const exvector & v) const
+ex color::eval_ncmul(const exvector & v) const
{
exvector s;
s.reserve(v.size());
// Remove superfluous ONEs
exvector::const_iterator it = v.begin(), itend = v.end();
while (it != itend) {
- if (!is_ex_of_type(it->op(0), su3one))
+ if (!is_a<su3one>(it->op(0)))
s.push_back(*it);
it++;
}
if (s.empty())
return color(su3one(), representation_label);
else
- return simplified_ncmul(s);
+ return hold_ncmul(s);
}
-ex color::thisexprseq(const exvector & v) const
+ex color::thiscontainer(const exvector & v) const
{
return color(representation_label, v);
}
-ex color::thisexprseq(exvector * vp) const
+ex color::thiscontainer(std::auto_ptr<exvector> vp) const
{
return color(representation_label, vp);
}
GINAC_ASSERT(is_a<su3t>(self->op(0)));
unsigned char rl = ex_to<color>(*self).get_representation_label();
- if (is_ex_exactly_of_type(other->op(0), su3t)) {
+ if (is_exactly_a<su3t>(other->op(0))) {
+
+ // Contraction only makes sense if the represenation labels are equal
+ GINAC_ASSERT(is_a<color>(*other));
+ if (ex_to<color>(*other).get_representation_label() != rl)
+ return false;
// T.a T.a = 4/3 ONE
if (other - self == 1) {
// T.a T.b T.a = -1/6 T.b
} else if (other - self == 2
- && is_ex_of_type(self[1], color)) {
+ && is_a<color>(self[1])) {
*self = numeric(-1, 6);
*other = _ex1;
return true;
} else {
exvector::iterator it = self + 1;
while (it != other) {
- if (!is_ex_of_type(*it, color)) {
+ if (!is_a<color>(*it)) {
return false;
}
it++;
GINAC_ASSERT(self->nops() == 4);
GINAC_ASSERT(is_a<su3d>(self->op(0)));
- if (is_ex_exactly_of_type(other->op(0), su3d)) {
+ if (is_exactly_a<su3d>(other->op(0))) {
// Find the dummy indices of the contraction
exvector self_indices = ex_to<indexed>(*self).get_indices();
return true;
}
- } else if (is_ex_exactly_of_type(other->op(0), su3t)) {
+ } else if (is_exactly_a<su3t>(other->op(0))) {
// d.abc T.b T.c = 5/6 T.a
if (other+1 != v.end()
- && is_ex_exactly_of_type(other[1].op(0), su3t)
+ && is_exactly_a<su3t>(other[1].op(0))
&& ex_to<indexed>(*self).has_dummy_index_for(other[1].op(1))) {
exvector self_indices = ex_to<indexed>(*self).get_indices();
GINAC_ASSERT(self->nops() == 4);
GINAC_ASSERT(is_a<su3f>(self->op(0)));
- if (is_ex_exactly_of_type(other->op(0), su3f)) { // f*d is handled by su3d class
+ if (is_exactly_a<su3f>(other->op(0))) { // f*d is handled by su3d class
// Find the dummy indices of the contraction
exvector dummy_indices;
return true;
}
- } else if (is_ex_exactly_of_type(other->op(0), su3t)) {
+ } else if (is_exactly_a<su3t>(other->op(0))) {
// f.abc T.b T.c = 3/2 I T.a
if (other+1 != v.end()
- && is_ex_exactly_of_type(other[1].op(0), su3t)
+ && is_exactly_a<su3t>(other[1].op(0))
&& ex_to<indexed>(*self).has_dummy_index_for(other[1].op(1))) {
exvector self_indices = ex_to<indexed>(*self).get_indices();
ex color_ONE(unsigned char rl)
{
- return color(su3one(), rl);
+ static ex ONE = (new su3one)->setflag(status_flags::dynallocated);
+ return color(ONE, rl);
}
ex color_T(const ex & a, unsigned char rl)
{
- if (!is_ex_of_type(a, idx))
+ static ex t = (new su3t)->setflag(status_flags::dynallocated);
+
+ if (!is_a<idx>(a))
throw(std::invalid_argument("indices of color_T must be of type idx"));
if (!ex_to<idx>(a).get_dim().is_equal(8))
throw(std::invalid_argument("index dimension for color_T must be 8"));
- return color(su3t(), a, rl);
+ return color(t, a, rl);
}
ex color_f(const ex & a, const ex & b, const ex & c)
{
- if (!is_ex_of_type(a, idx) || !is_ex_of_type(b, idx) || !is_ex_of_type(c, idx))
+ static ex f = (new su3f)->setflag(status_flags::dynallocated);
+
+ if (!is_a<idx>(a) || !is_a<idx>(b) || !is_a<idx>(c))
throw(std::invalid_argument("indices of color_f must be of type idx"));
if (!ex_to<idx>(a).get_dim().is_equal(8) || !ex_to<idx>(b).get_dim().is_equal(8) || !ex_to<idx>(c).get_dim().is_equal(8))
throw(std::invalid_argument("index dimension for color_f must be 8"));
- return indexed(su3f(), sy_anti(), a, b, c);
+ return indexed(f, antisymmetric3(), a, b, c);
}
ex color_d(const ex & a, const ex & b, const ex & c)
{
- if (!is_ex_of_type(a, idx) || !is_ex_of_type(b, idx) || !is_ex_of_type(c, idx))
+ static ex d = (new su3d)->setflag(status_flags::dynallocated);
+
+ if (!is_a<idx>(a) || !is_a<idx>(b) || !is_a<idx>(c))
throw(std::invalid_argument("indices of color_d must be of type idx"));
if (!ex_to<idx>(a).get_dim().is_equal(8) || !ex_to<idx>(b).get_dim().is_equal(8) || !ex_to<idx>(c).get_dim().is_equal(8))
throw(std::invalid_argument("index dimension for color_d must be 8"));
- return indexed(su3d(), sy_symm(), a, b, c);
+ return indexed(d, symmetric3(), a, b, c);
}
ex color_h(const ex & a, const ex & b, const ex & c)
}
/** Check whether a given tinfo key (as returned by return_type_tinfo()
- * is that of a color object with the specified representation label. */
-static bool is_color_tinfo(unsigned ti, unsigned char rl)
+ * is that of a color object (with an arbitrary representation label). */
+static bool is_color_tinfo(tinfo_t ti)
{
- return ti == (TINFO_color + rl);
+ p_int start_loc=(p_int)&color::return_type_tinfo_static;
+ return (p_int)ti>=start_loc && (p_int)ti<start_loc+256;
}
-ex color_trace(const ex & e, unsigned char rl)
+/** Extract representation label from tinfo key (as returned by
+ * return_type_tinfo()). */
+static unsigned char get_representation_label(tinfo_t ti)
+{
+ return (unsigned char)((p_int)ti-(p_int)&color::return_type_tinfo_static);
+}
+
+ex color_trace(const ex & e, const std::set<unsigned char> & rls)
{
- if (is_ex_of_type(e, color)) {
+ if (is_a<color>(e)) {
+
+ unsigned char rl = ex_to<color>(e).get_representation_label();
- if (ex_to<color>(e).get_representation_label() == rl
- && is_ex_of_type(e.op(0), su3one))
+ // Are we taking the trace over this object's representation label?
+ if (rls.find(rl) == rls.end())
+ return e;
+
+ // Yes, all generators are traceless, except for color_ONE
+ if (is_a<su3one>(e.op(0)))
return _ex3;
else
return _ex0;
- } else if (is_ex_exactly_of_type(e, mul)) {
+ } else if (is_exactly_a<mul>(e)) {
// Trace of product: pull out non-color factors
ex prod = _ex1;
- for (unsigned i=0; i<e.nops(); i++) {
+ for (size_t i=0; i<e.nops(); i++) {
const ex &o = e.op(i);
- if (is_color_tinfo(o.return_type_tinfo(), rl))
- prod *= color_trace(o, rl);
+ if (is_color_tinfo(o.return_type_tinfo()))
+ prod *= color_trace(o, rls);
else
prod *= o;
}
return prod;
- } else if (is_ex_exactly_of_type(e, ncmul)) {
+ } else if (is_exactly_a<ncmul>(e)) {
- if (!is_color_tinfo(e.return_type_tinfo(), rl))
- return _ex0;
+ unsigned char rl = get_representation_label(e.return_type_tinfo());
- // Expand product, if necessary
+ // Are we taking the trace over this string's representation label?
+ if (rls.find(rl) == rls.end())
+ return e;
+
+ // Yes, expand product if necessary
ex e_expanded = e.expand();
- if (!is_ex_of_type(e_expanded, ncmul))
- return color_trace(e_expanded, rl);
+ if (!is_a<ncmul>(e_expanded))
+ return color_trace(e_expanded, rls);
- unsigned num = e.nops();
+ size_t num = e.nops();
if (num == 2) {
exvector v1;
v1.reserve(num - 2);
- for (unsigned i=0; i<num-2; i++)
+ for (size_t i=0; i<num-2; i++)
v1.push_back(e.op(i));
exvector v2 = v1;
} else if (e.nops() > 0) {
// Trace maps to all other container classes (this includes sums)
- pointer_to_map_function_1arg<unsigned char> fcn(color_trace, rl);
+ pointer_to_map_function_1arg<const std::set<unsigned char> &> fcn(color_trace, rls);
return e.map(fcn);
} else
return _ex0;
}
+ex color_trace(const ex & e, const lst & rll)
+{
+ // Convert list to set
+ std::set<unsigned char> rls;
+ for (lst::const_iterator i = rll.begin(); i != rll.end(); ++i) {
+ if (i->info(info_flags::nonnegint))
+ rls.insert(ex_to<numeric>(*i).to_int());
+ }
+
+ return color_trace(e, rls);
+}
+
+ex color_trace(const ex & e, unsigned char rl)
+{
+ // Convert label to set
+ std::set<unsigned char> rls;
+ rls.insert(rl);
+
+ return color_trace(e, rls);
+}
+
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff