const varidx & i1 = ex_to<varidx>(i.op(1));
const varidx & i2 = ex_to<varidx>(i.op(2));
+ // The dimension of the indices must be equal, otherwise we use the minimal
+ // 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)));
+ }
+
// A metric tensor with one covariant and one contravariant index gets
// replaced by a delta tensor
if (i1.is_covariant() != i2.is_covariant())
try {
// minimal_dim() throws an exception when index dimensions are not comparable
ex min_dim = self_idx->minimal_dim(other_idx);
- *self = _ex1;
*other = other->subs(other_idx == free_idx->replace_dim(min_dim));
+ *self = _ex1; // *other is assigned first because assigning *self invalidates free_idx
return true;
} catch (std::exception &e) {
return false;
if (is_dummy_pair(*self_idx, other_idx)) {
// Contraction found, remove metric tensor and substitute
- // index in second object
- *self = (static_cast<const spinidx *>(self_idx)->is_covariant() ? sign : -sign);
+ // index in second object (assign *self last because this
+ // invalidates free_idx)
*other = other->subs(other_idx == *free_idx);
+ *self = (static_cast<const spinidx *>(self_idx)->is_covariant() ? sign : -sign);
return true;
}
}
if (is_ex_exactly_of_type(other->op(0), tensepsilon) && num+1 == other->nops()) {
// Contraction of two epsilon tensors is a determinant
- ex dim = ex_to<idx>(self->op(1)).get_dim();
+ bool variance = is_a<varidx>(self->op(1));
matrix M(num, num);
for (int i=0; i<num; i++) {
for (int j=0; j<num; j++) {
if (minkowski)
M(i, j) = lorentz_g(self->op(i+1), other->op(j+1), pos_sig);
- else
+ else if (variance)
M(i, j) = metric_tensor(self->op(i+1), other->op(j+1));
+ else
+ M(i, j) = delta_tensor(self->op(i+1), other->op(j+1));
}
}
int sign = minkowski ? -1 : 1;
{
if (!is_ex_of_type(i1, varidx) || !is_ex_of_type(i2, varidx))
throw(std::invalid_argument("indices of metric tensor must be of type varidx"));
- ex dim = ex_to<idx>(i1).get_dim();
- if (!dim.is_equal(ex_to<idx>(i2).get_dim()))
- throw(std::invalid_argument("all indices of metric tensor must have the same dimension"));
return indexed(tensmetric(), sy_symm(), i1, i2);
}
{
if (!is_ex_of_type(i1, varidx) || !is_ex_of_type(i2, varidx))
throw(std::invalid_argument("indices of metric tensor must be of type varidx"));
- ex dim = ex_to<idx>(i1).get_dim();
- if (!dim.is_equal(ex_to<idx>(i2).get_dim()))
- throw(std::invalid_argument("all indices of metric tensor must have the same dimension"));
return indexed(minkmetric(pos_sig), sy_symm(), i1, i2);
}