* Implementation of GiNaC's color (SU(3) Lie algebra) objects. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2003 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
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
-#include <algorithm>
+#include <iostream>
#include <stdexcept>
#include "color.h"
#include "ncmul.h"
#include "symmetry.h"
#include "numeric.h"
+#include "mul.h"
#include "power.h" // for sqrt()
#include "symbol.h"
#include "print.h"
#include "archive.h"
-#include "debugmsg.h"
#include "utils.h"
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS(su3d, tensor)
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default ctor, dtor, copy ctor, assignment operator and helpers
//////////
color::color() : representation_label(0)
{
- debugmsg("color default constructor", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_color;
}
* @see color_ONE */
color::color(const ex & b, unsigned char rl) : inherited(b), representation_label(rl)
{
- debugmsg("color constructor from ex,unsigned char", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_color;
}
* @see color_T */
color::color(const ex & b, const ex & i1, unsigned char rl) : inherited(b, i1), representation_label(rl)
{
- debugmsg("color constructor from ex,ex,unsigned char", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_color;
}
color::color(unsigned char rl, const exvector & v, bool discardable) : inherited(sy_none(), v, discardable), representation_label(rl)
{
- debugmsg("color constructor from unsigned char,exvector", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_color;
}
color::color(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), representation_label(rl)
{
- debugmsg("color constructor from unsigned char,exvector *", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_color;
}
color::color(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
- debugmsg("color constructor from archive_node", LOGLEVEL_CONSTRUCT);
unsigned rl;
n.find_unsigned("label", rl);
representation_label = rl;
DEFAULT_ARCHIVING(su3d)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
int color::compare_same_type(const basic & other) const
{
- GINAC_ASSERT(other.tinfo() == TINFO_color);
+ GINAC_ASSERT(is_a<color>(other));
const color &o = static_cast<const color &>(other);
if (representation_label != o.representation_label) {
return inherited::compare_same_type(other);
}
+bool color::match_same_type(const basic & other) const
+{
+ GINAC_ASSERT(is_a<color>(other));
+ const color &o = static_cast<const color &>(other);
+
+ return representation_label == o.representation_label;
+}
+
DEFAULT_COMPARE(su3one)
DEFAULT_COMPARE(su3t)
DEFAULT_COMPARE(su3f)
/** Automatic symbolic evaluation of indexed symmetric structure constant. */
ex su3d::eval_indexed(const basic & i) const
{
- GINAC_ASSERT(is_of_type(i, indexed));
+ GINAC_ASSERT(is_a<indexed>(i));
GINAC_ASSERT(i.nops() == 4);
- GINAC_ASSERT(is_ex_of_type(i.op(0), su3d));
+ GINAC_ASSERT(is_a<su3d>(i.op(0)));
// Convolutions are zero
if (!(static_cast<const indexed &>(i).get_dummy_indices().empty()))
- return _ex0();
+ return _ex0;
// Numeric evaluation
if (static_cast<const indexed &>(i).all_index_values_are(info_flags::nonnegint)) {
// Check for non-zero elements
if (CMPINDICES(1,4,6) || CMPINDICES(1,5,7) || CMPINDICES(2,5,6)
|| CMPINDICES(3,4,4) || CMPINDICES(3,5,5))
- return _ex1_2();
+ return _ex1_2;
else if (CMPINDICES(2,4,7) || CMPINDICES(3,6,6) || CMPINDICES(3,7,7))
- return _ex_1_2();
+ return _ex_1_2;
else if (CMPINDICES(1,1,8) || CMPINDICES(2,2,8) || CMPINDICES(3,3,8))
- return sqrt(_ex3())/3;
+ return sqrt(_ex3)*_ex1_3;
else if (CMPINDICES(8,8,8))
- return -sqrt(_ex3())/3;
+ return sqrt(_ex3)*_ex_1_3;
else if (CMPINDICES(4,4,8) || CMPINDICES(5,5,8)
|| CMPINDICES(6,6,8) || CMPINDICES(7,7,8))
- return -sqrt(_ex3())/6;
+ return sqrt(_ex3)/_ex_6;
else
- return _ex0();
+ return _ex0;
}
// No further simplifications
/** Automatic symbolic evaluation of indexed antisymmetric structure constant. */
ex su3f::eval_indexed(const basic & i) const
{
- GINAC_ASSERT(is_of_type(i, indexed));
+ GINAC_ASSERT(is_a<indexed>(i));
GINAC_ASSERT(i.nops() == 4);
- GINAC_ASSERT(is_ex_of_type(i.op(0), su3f));
+ GINAC_ASSERT(is_a<su3f>(i.op(0)));
// Numeric evaluation
if (static_cast<const indexed &>(i).all_index_values_are(info_flags::nonnegint)) {
return sign;
else if (CMPINDICES(1,4,7) || CMPINDICES(2,4,6)
|| CMPINDICES(2,5,7) || CMPINDICES(3,4,5))
- return _ex1_2() * sign;
+ return _ex1_2 * sign;
else if (CMPINDICES(1,5,6) || CMPINDICES(3,6,7))
- return _ex_1_2() * sign;
+ return _ex_1_2 * sign;
else if (CMPINDICES(4,5,8) || CMPINDICES(6,7,8))
- return sqrt(_ex3())/2 * sign;
+ return sqrt(_ex3)/2 * sign;
else
- return _ex0();
+ return _ex0;
}
// No further simplifications
/** Contraction of generator with something else. */
bool su3t::contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const
{
- GINAC_ASSERT(is_ex_of_type(*self, indexed));
- GINAC_ASSERT(is_ex_of_type(*other, indexed));
+ GINAC_ASSERT(is_a<indexed>(*self));
+ GINAC_ASSERT(is_a<indexed>(*other));
GINAC_ASSERT(self->nops() == 2);
- GINAC_ASSERT(is_ex_of_type(self->op(0), su3t));
+ 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)) {
+ // 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) {
*self = numeric(4, 3);
} else if (other - self == 2
&& is_ex_of_type(self[1], color)) {
*self = numeric(-1, 6);
- *other = _ex1();
+ *other = _ex1;
return true;
// T.a S T.a = 1/2 Tr(S) - 1/6 S
}
it = self + 1;
- ex S = _ex1();
+ ex S = _ex1;
while (it != other) {
S *= *it;
- *it++ = _ex1();
+ *it++ = _ex1;
}
*self = color_trace(S, rl) * color_ONE(rl) / 2 - S / 6;
- *other = _ex1();
+ *other = _ex1;
return true;
}
}
/** Contraction of an indexed symmetric structure constant with something else. */
bool su3d::contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const
{
- GINAC_ASSERT(is_ex_of_type(*self, indexed));
- GINAC_ASSERT(is_ex_of_type(*other, indexed));
+ GINAC_ASSERT(is_a<indexed>(*self));
+ GINAC_ASSERT(is_a<indexed>(*other));
GINAC_ASSERT(self->nops() == 4);
- GINAC_ASSERT(is_ex_of_type(self->op(0), su3d));
+ GINAC_ASSERT(is_a<su3d>(self->op(0)));
if (is_ex_exactly_of_type(other->op(0), su3d)) {
// d.abc d.abc = 40/3
if (dummy_indices.size() == 3) {
*self = numeric(40, 3);
- *other = _ex1();
+ *other = _ex1;
return true;
// d.akl d.bkl = 5/3 delta.ab
ita = set_difference(other_indices.begin(), other_indices.end(), dummy_indices.begin(), dummy_indices.end(), ita, ex_is_less());
GINAC_ASSERT(a.size() == 2);
*self = numeric(5, 3) * delta_tensor(a[0], a[1]);
- *other = _ex1();
+ *other = _ex1;
return true;
}
ex a = permute_free_index_to_front(self_indices, dummy_indices, sig);
*self = numeric(5, 6);
other[0] = color_T(a, ex_to<color>(other[0]).get_representation_label());
- other[1] = _ex1();
+ other[1] = _ex1;
return true;
}
}
/** Contraction of an indexed antisymmetric structure constant with something else. */
bool su3f::contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const
{
- GINAC_ASSERT(is_ex_of_type(*self, indexed));
- GINAC_ASSERT(is_ex_of_type(*other, indexed));
+ GINAC_ASSERT(is_a<indexed>(*self));
+ GINAC_ASSERT(is_a<indexed>(*other));
GINAC_ASSERT(self->nops() == 4);
- GINAC_ASSERT(is_ex_of_type(self->op(0), su3f));
+ 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
// f.abc f.abc = 24
if (dummy_indices.size() == 3) {
*self = 24;
- *other = _ex1();
+ *other = _ex1;
return true;
// f.akl f.bkl = 3 delta.ab
ex a = permute_free_index_to_front(ex_to<indexed>(*self).get_indices(), dummy_indices, sign1);
ex b = permute_free_index_to_front(ex_to<indexed>(*other).get_indices(), dummy_indices, sign2);
*self = sign1 * sign2 * 3 * delta_tensor(a, b);
- *other = _ex1();
+ *other = _ex1;
return true;
}
ex a = permute_free_index_to_front(self_indices, dummy_indices, sig);
*self = numeric(3, 2) * sig * I;
other[0] = color_T(a, ex_to<color>(other[0]).get_representation_label());
- other[1] = _ex1();
+ other[1] = _ex1;
return true;
}
}
if (ex_to<color>(e).get_representation_label() == rl
&& is_ex_of_type(e.op(0), su3one))
- return _ex3();
+ return _ex3;
else
- return _ex0();
+ return _ex0;
} else if (is_ex_exactly_of_type(e, mul)) {
// Trace of product: pull out non-color factors
- ex prod = _ex1();
+ ex prod = _ex1;
for (unsigned i=0; i<e.nops(); i++) {
const ex &o = e.op(i);
if (is_color_tinfo(o.return_type_tinfo(), rl))
} else if (is_ex_exactly_of_type(e, ncmul)) {
if (!is_color_tinfo(e.return_type_tinfo(), rl))
- return _ex0();
+ return _ex0;
// Expand product, if necessary
ex e_expanded = e.expand();
exvector v1;
v1.reserve(num - 2);
- for (int i=0; i<num-2; i++)
+ for (unsigned i=0; i<num-2; i++)
v1.push_back(e.op(i));
exvector v2 = v1;
return e.map(fcn);
} else
- return _ex0();
+ return _ex0;
}
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff