return i.hold();
}
-/** Contraction of an indexed delta tensor with something else. */
-bool tensdelta::contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const
+bool tensor::replace_contr_index(exvector::iterator self, exvector::iterator other) const
{
- GINAC_ASSERT(is_a<indexed>(*self));
- GINAC_ASSERT(is_a<indexed>(*other));
- GINAC_ASSERT(self->nops() == 3);
- GINAC_ASSERT(is_a<tensdelta>(self->op(0)));
-
- // Try to contract first index
+ // Try to contract the first index
const idx *self_idx = &ex_to<idx>(self->op(1));
const idx *free_idx = &ex_to<idx>(self->op(2));
bool first_index_tried = false;
const idx &other_idx = ex_to<idx>(other->op(i));
if (is_dummy_pair(*self_idx, other_idx)) {
- // Contraction found, remove delta tensor and substitute
- // index in second object
+ // Contraction found, remove this tensor and substitute the
+ // index in the second object
*self = _ex1;
*other = other->subs(other_idx == *free_idx);
return true;
if (!first_index_tried) {
- // No contraction with first index found, try second index
+ // No contraction with the first index found, try the second index
self_idx = &ex_to<idx>(self->op(2));
free_idx = &ex_to<idx>(self->op(1));
first_index_tried = true;
return false;
}
+/** Contraction of an indexed delta tensor with something else. */
+bool tensdelta::contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const
+{
+ GINAC_ASSERT(is_a<indexed>(*self));
+ GINAC_ASSERT(is_a<indexed>(*other));
+ GINAC_ASSERT(self->nops() == 3);
+ GINAC_ASSERT(is_a<tensdelta>(self->op(0)));
+
+ // Replace the dummy index with this tensor's other index and remove
+ // the tensor (this is valid for contractions with all other tensors)
+ return replace_contr_index(self, other);
+}
+
/** Contraction of an indexed 4-dimensional delta tensor with something else. */
bool tens4delta::contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const
{
if (!(is_a<tens4delta>(other->op(0)) || is_a<mink4metric>(other->op(0)) || is_a<tensepsilon>(other->op(0))))
return false;
- // Try to contract first index
- const idx *self_idx = &ex_to<idx>(self->op(1));
- const idx *free_idx = &ex_to<idx>(self->op(2));
- bool first_index_tried = false;
-
-again:
- if (self_idx->is_symbolic()) {
- for (unsigned i=1; i<other->nops(); i++) {
- const idx &other_idx = ex_to<idx>(other->op(i));
- if (is_dummy_pair(*self_idx, other_idx)) {
-
- // Contraction found, remove delta tensor and substitute
- // index in second object
- *self = _ex1;
- *other = other->subs(other_idx == *free_idx);
- return true;
- }
- }
- }
-
- if (!first_index_tried) {
-
- // No contraction with first index found, try second index
- self_idx = &ex_to<idx>(self->op(2));
- free_idx = &ex_to<idx>(self->op(1));
- first_index_tried = true;
- goto again;
- }
-
- return false;
+ // Replace the dummy index with this tensor's other index and remove
+ // the tensor
+ return replace_contr_index(self, other);
}
/** Contraction of an indexed metric tensor with something else. */
if (is_a<tensdelta>(other->op(0)))
return false;
- // Try to contract first index
- const idx *self_idx = &ex_to<idx>(self->op(1));
- const idx *free_idx = &ex_to<idx>(self->op(2));
- bool first_index_tried = false;
-
-again:
- if (self_idx->is_symbolic()) {
- for (unsigned i=1; i<other->nops(); i++) {
- const idx &other_idx = ex_to<idx>(other->op(i));
- if (is_dummy_pair(*self_idx, other_idx)) {
-
- // Contraction found, remove metric tensor and substitute
- // index in second object
- *self = _ex1;
- *other = other->subs(other_idx == *free_idx);
- return true;
- }
- }
- }
-
- if (!first_index_tried) {
-
- // No contraction with first index found, try second index
- self_idx = &ex_to<idx>(self->op(2));
- free_idx = &ex_to<idx>(self->op(1));
- first_index_tried = true;
- goto again;
- }
-
- return false;
+ // Replace the dummy index with this tensor's other index and remove
+ // the tensor
+ return replace_contr_index(self, other);
}
/** Contraction of an indexed 4-dimensional Lorentz metric tensor with something else. */
if (!(is_a<mink4metric>(other->op(0)) || is_a<tensepsilon>(other->op(0))))
return false;
- // Try to contract first index
- const idx *self_idx = &ex_to<idx>(self->op(1));
- const idx *free_idx = &ex_to<idx>(self->op(2));
- bool first_index_tried = false;
-
-again:
- if (self_idx->is_symbolic()) {
- for (unsigned i=1; i<other->nops(); i++) {
- const idx &other_idx = ex_to<idx>(other->op(i));
- if (is_dummy_pair(*self_idx, other_idx)) {
-
- // Contraction found, remove metric tensor and substitute
- // index in second object
- *self = _ex1;
- *other = other->subs(other_idx == *free_idx);
- return true;
- }
- }
- }
-
- if (!first_index_tried) {
-
- // No contraction with first index found, try second index
- self_idx = &ex_to<idx>(self->op(2));
- free_idx = &ex_to<idx>(self->op(1));
- first_index_tried = true;
- goto again;
- }
-
- return false;
+ // Replace the dummy index with this tensor's other index and remove
+ // the tensor
+ return replace_contr_index(self, other);
}