* Implementation of GiNaC's clifford algebra (Dirac gamma) objects. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2002 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 <iostream>
+#include <stdexcept>
+
#include "clifford.h"
#include "ex.h"
#include "idx.h"
#include "mul.h"
#include "print.h"
#include "archive.h"
-#include "debugmsg.h"
#include "utils.h"
-#include <stdexcept>
-
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS(clifford, indexed)
GINAC_IMPLEMENT_REGISTERED_CLASS(diracgamma5, tensor)
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default ctor, dtor, copy ctor, assignment operator and helpers
//////////
clifford::clifford() : representation_label(0)
{
- debugmsg("clifford default constructor", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
* @see dirac_ONE */
clifford::clifford(const ex & b, unsigned char rl) : inherited(b), representation_label(rl)
{
- debugmsg("clifford constructor from ex", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
* @see dirac_gamma */
clifford::clifford(const ex & b, const ex & mu, unsigned char rl) : inherited(b, mu), representation_label(rl)
{
- debugmsg("clifford constructor from ex,ex", LOGLEVEL_CONSTRUCT);
GINAC_ASSERT(is_a<varidx>(mu));
tinfo_key = TINFO_clifford;
}
clifford::clifford(unsigned char rl, const exvector & v, bool discardable) : inherited(sy_none(), v, discardable), representation_label(rl)
{
- debugmsg("clifford constructor from unsigned char,exvector", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
clifford::clifford(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), representation_label(rl)
{
- debugmsg("clifford constructor from unsigned char,exvector *", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
clifford::clifford(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
- debugmsg("clifford constructor from archive_node", LOGLEVEL_CONSTRUCT);
unsigned rl;
n.find_unsigned("label", rl);
representation_label = rl;
int clifford::compare_same_type(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other, clifford));
+ GINAC_ASSERT(is_a<clifford>(other));
const clifford &o = static_cast<const clifford &>(other);
if (representation_label != o.representation_label) {
bool clifford::match_same_type(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other, clifford));
+ GINAC_ASSERT(is_a<clifford>(other));
const clifford &o = static_cast<const clifford &>(other);
return representation_label == o.representation_label;
}
-void clifford::print(const print_context & c, unsigned level = 0) const
+void clifford::print(const print_context & c, unsigned level) const
{
if (!is_a<diracgamma5>(seq[0]) && !is_a<diracgamma>(seq[0]) && !is_a<diracone>(seq[0])) {
if (is_a<diracgamma>(c.op(0))) { // proper dirac gamma object
i = c.op(1);
- b = _ex1();
+ b = _ex1;
+ } else if (is_a<diracgamma5>(c.op(0))) { // gamma5
+ i = _ex0;
+ b = _ex1;
} else { // slash object, generate new dummy index
varidx ix((new symbol)->setflag(status_flags::dynallocated), ex_to<idx>(c.op(1)).get_dim());
b = indexed(c.op(0), ix.toggle_variance());
if (is_a<clifford>(*other)) {
+ // Contraction only makes sense if the represenation labels are equal
+ if (ex_to<clifford>(*other).get_representation_label() != rl)
+ return false;
+
ex dim = ex_to<idx>(self->op(1)).get_dim();
// gamma~mu gamma.mu = dim ONE
} else if (other - self == 2
&& is_a<clifford>(self[1])) {
*self = 2 - dim;
- *other = _ex1();
+ *other = _ex1;
return true;
// gamma~mu gamma~alpha gamma~beta gamma.mu = 4 g~alpha~beta + (dim-4) gamam~alpha gamma~beta
base_and_index(self[1], b1, i1);
base_and_index(self[2], b2, i2);
*self = 4 * lorentz_g(i1, i2) * b1 * b2 * dirac_ONE(rl) + (dim - 4) * self[1] * self[2];
- self[1] = _ex1();
- self[2] = _ex1();
- *other = _ex1();
+ self[1] = _ex1;
+ self[2] = _ex1;
+ *other = _ex1;
return true;
// gamma~mu gamma~alpha gamma~beta gamma~delta gamma.mu = -2 gamma~delta gamma~beta gamma~alpha - (dim-4) gamam~alpha gamma~beta gamma~delta
&& is_a<clifford>(self[2])
&& is_a<clifford>(self[3])) {
*self = -2 * self[3] * self[2] * self[1] - (dim - 4) * self[1] * self[2] * self[3];
- self[1] = _ex1();
- self[2] = _ex1();
- self[3] = _ex1();
- *other = _ex1();
+ self[1] = _ex1;
+ self[2] = _ex1;
+ self[3] = _ex1;
+ *other = _ex1;
return true;
// gamma~mu S gamma~alpha gamma.mu = 2 gamma~alpha S - gamma~mu S gamma.mu gamma~alpha
}
it = self + 1;
- ex S = _ex1();
+ ex S = _ex1;
while (it != next_to_last) {
S *= *it;
- *it++ = _ex1();
+ *it++ = _ex1;
}
*self = 2 * (*next_to_last) * S - (*self) * S * (*other) * (*next_to_last);
- *next_to_last = _ex1();
- *other = _ex1();
+ *next_to_last = _ex1;
+ *other = _ex1;
return true;
}
}
}
}
- // Remove squares of gamma5
- while (s.size() >= 2 && is_a<clifford>(s[0]) && is_a<clifford>(s[1]) && is_a<diracgamma5>(s[0].op(0)) && is_a<diracgamma5>(s[1].op(0))) {
- s.erase(s.begin(), s.begin() + 2);
- something_changed = true;
- }
-
// Remove equal adjacent gammas
if (s.size() >= 2) {
exvector::iterator it, itend = s.end() - 1;
ex & b = it[1];
if (!is_a<clifford>(a) || !is_a<clifford>(b))
continue;
- if (is_a<diracgamma>(a.op(0)) && is_a<diracgamma>(b.op(0))) {
+ bool a_is_diracgamma = is_a<diracgamma>(a.op(0));
+ bool b_is_diracgamma = is_a<diracgamma>(b.op(0));
+ if (a_is_diracgamma && b_is_diracgamma) {
const ex & ia = a.op(1);
const ex & ib = b.op(1);
if (ia.is_equal(ib)) { // gamma~alpha gamma~alpha -> g~alpha~alpha
b = dirac_ONE(representation_label);
something_changed = true;
}
- } else if (!is_a<diracgamma>(a.op(0)) && !is_a<diracgamma>(b.op(0))) {
+ } else if (is_a<diracgamma5>(a.op(0)) && is_a<diracgamma5>(b.op(0))) {
+ // Remove squares of gamma5
+ a = dirac_ONE(representation_label);
+ b = dirac_ONE(representation_label);
+ something_changed = true;
+ } else if (!a_is_diracgamma && !b_is_diracgamma) {
const ex & ba = a.op(0);
const ex & bb = b.op(0);
if (ba.is_equal(bb)) { // a\ a\ -> a^2
&& is_a<diracone>(e.op(0)))
return trONE;
else
- return _ex0();
+ return _ex0;
} else if (is_ex_exactly_of_type(e, mul)) {
// Trace of product: pull out non-clifford factors
- ex prod = _ex1();
+ ex prod = _ex1;
for (unsigned i=0; i<e.nops(); i++) {
const ex &o = e.op(i);
if (is_clifford_tinfo(o.return_type_tinfo(), rl))
} else if (is_ex_exactly_of_type(e, ncmul)) {
if (!is_clifford_tinfo(e.return_type_tinfo(), rl))
- return _ex0();
+ return _ex0;
// Expand product, if necessary
ex e_expanded = e.expand();
// Trace of gamma5 * odd number of gammas and trace of
// gamma5 * gamma.mu * gamma.nu are zero
if ((num & 1) == 0 || num == 3)
- return _ex0();
+ return _ex0;
// Tr gamma5 gamma.mu gamma.nu gamma.rho gamma.sigma = 4I * epsilon(mu, nu, rho, sigma)
if (num == 5) {
// Trace of odd number of gammas is zero
if ((num & 1) == 1)
- return _ex0();
+ return _ex0;
// Tr gamma.mu gamma.nu = 4 g.mu.nu
if (num == 2) {
return e.map(fcn);
} else
- return _ex0();
+ return _ex0;
}
ex canonicalize_clifford(const ex & e)
base_and_index(it[0], b1, i1);
base_and_index(it[1], b2, i2);
it[0] = (lorentz_g(i1, i2) * b1 * b2).simplify_indexed();
- it[1] = _ex2();
+ it[1] = _ex2;
ex sum = ncmul(v);
it[0] = save1;
it[1] = save0;
git://www.ginac.de / ginac.git / blobdiff