if (static_cast<const indexed &>(i).all_index_values_are(info_flags::integer)) {
int n1 = ex_to<numeric>(i1.get_value()).to_int(), n2 = ex_to<numeric>(i2.get_value()).to_int();
if (n1 == n2)
- return _ex1();
+ return _ex1;
else
- return _ex0();
+ return _ex0;
}
// No further simplifications
if (static_cast<const indexed &>(i).all_index_values_are(info_flags::nonnegint)) {
int n1 = ex_to<numeric>(i1.get_value()).to_int(), n2 = ex_to<numeric>(i2.get_value()).to_int();
if (n1 != n2)
- return _ex0();
+ return _ex0;
else if (n1 == 0)
- return pos_sig ? _ex_1() : _ex1();
+ return pos_sig ? _ex_1 : _ex1;
else
- return pos_sig ? _ex1() : _ex_1();
+ return pos_sig ? _ex1 : _ex_1;
}
// Perform the usual evaluations of a metric tensor
// 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)) {
int n1 = ex_to<numeric>(i1.get_value()).to_int(), n2 = ex_to<numeric>(i2.get_value()).to_int();
if (n1 == n2)
- return _ex0();
+ return _ex0;
else if (n1 < n2)
- return _ex1();
+ return _ex1;
else
- return _ex_1();
+ return _ex_1;
}
// No further simplifications
// 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)) {
// Contraction found, remove delta tensor and substitute
// index in second object
- *self = _ex1();
+ *self = _ex1;
*other = other->subs(other_idx == *free_idx);
return true;
}
// Contraction found, remove metric tensor and substitute
// index in second object
- *self = _ex1();
+ *self = _ex1;
*other = other->subs(other_idx == *free_idx);
return true;
}
if (is_dummy_pair(self_i1, other_i1)) {
if (is_dummy_pair(self_i2, other_i2))
- *self = _ex2();
+ *self = _ex2;
else
*self = delta_tensor(self_i2, other_i2);
- *other = _ex1();
+ *other = _ex1;
return true;
} else if (is_dummy_pair(self_i1, other_i2)) {
if (is_dummy_pair(self_i2, other_i1))
- *self = _ex_2();
+ *self = _ex_2;
else
*self = -delta_tensor(self_i2, other_i1);
- *other = _ex1();
+ *other = _ex1;
return true;
} else if (is_dummy_pair(self_i2, other_i1)) {
*self = -delta_tensor(self_i1, other_i2);
- *other = _ex1();
+ *other = _ex1;
return true;
} else if (is_dummy_pair(self_i2, other_i2)) {
*self = delta_tensor(self_i1, other_i1);
- *other = _ex1();
+ *other = _ex1;
return true;
}
}
}
int sign = minkowski ? -1 : 1;
*self = sign * M.determinant().simplify_indexed();
- *other = _ex1();
+ *other = _ex1;
return true;
} else if (other->return_type() == return_types::commutative) {
} else {
// Yes, the contraction is zero
- *self = _ex0();
- *other = _ex0();
+ *self = _ex0;
+ *other = _ex0;
return true;
}
}
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 epsilon tensor must have the same dimension"));
- if (!ex_to<idx>(i1).get_dim().is_equal(_ex2()))
+ if (!ex_to<idx>(i1).get_dim().is_equal(_ex2))
throw(std::runtime_error("index dimension of epsilon tensor must match number of indices"));
return indexed(tensepsilon(), sy_anti(), i1, i2);
ex dim = ex_to<idx>(i1).get_dim();
if (!dim.is_equal(ex_to<idx>(i2).get_dim()) || !dim.is_equal(ex_to<idx>(i3).get_dim()))
throw(std::invalid_argument("all indices of epsilon tensor must have the same dimension"));
- if (!ex_to<idx>(i1).get_dim().is_equal(_ex3()))
+ if (!ex_to<idx>(i1).get_dim().is_equal(_ex3))
throw(std::runtime_error("index dimension of epsilon tensor must match number of indices"));
return indexed(tensepsilon(), sy_anti(), i1, i2, i3);
ex dim = ex_to<idx>(i1).get_dim();
if (!dim.is_equal(ex_to<idx>(i2).get_dim()) || !dim.is_equal(ex_to<idx>(i3).get_dim()) || !dim.is_equal(ex_to<idx>(i4).get_dim()))
throw(std::invalid_argument("all indices of epsilon tensor must have the same dimension"));
- if (!ex_to<idx>(i1).get_dim().is_equal(_ex4()))
+ if (!ex_to<idx>(i1).get_dim().is_equal(_ex4))
throw(std::runtime_error("index dimension of epsilon tensor must match number of indices"));
return indexed(tensepsilon(true, pos_sig), sy_anti(), i1, i2, i3, i4);