#include "idx.h"
#include "symbol.h"
#include "lst.h"
+#include "relational.h"
#include "print.h"
#include "archive.h"
#include "utils.h"
c.s << "{";
else
c.s << ".";
- bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
+ bool need_parens = !(is_exactly_a<numeric>(value) || is_a<symbol>(value));
if (need_parens)
c.s << "(";
value.print(c);
else
c.s << "~";
}
- bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
+ bool need_parens = !(is_exactly_a<numeric>(value) || is_a<symbol>(value));
if (need_parens)
c.s << "(";
value.print(c);
else
c.s << "*";
}
- bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
+ bool need_parens = !(is_exactly_a<numeric>(value) || is_a<symbol>(value));
if (need_parens)
c.s << "(";
value.print(c);
if (is_equal(ex_to<basic>(ls.op(i)))) {
// Substitution index->index
- if (is_ex_of_type(lr.op(i), idx))
+ if (is_a<idx>(lr.op(i)))
return lr.op(i);
// Otherwise substitute value
{
const idx &o = static_cast<const idx &>(other);
- // Only pure symbols form dummy pairs, "2n+1" doesn't
- if (!is_ex_of_type(value, symbol))
+ // Only pure symbols form dummy pairs, numeric indices and expressions
+ // like "2n+1" don't
+ if (!is_a<symbol>(value))
return false;
// Value must be equal, of course
if (!value.is_equal(o.value))
return false;
- // Also the dimension
- return dim.is_equal(o.dim);
+ // Dimensions need not be equal but must be comparable (so we can
+ // determine the minimum dimension of contractions)
+ if (dim.is_equal(o.dim))
+ return true;
+
+ return (dim < o.dim || dim > o.dim || (is_exactly_a<numeric>(dim) && is_a<symbol>(o.dim)) || (is_a<symbol>(dim) && is_exactly_a<numeric>(o.dim)));
}
bool varidx::is_dummy_pair_same_type(const basic & other) const
// non-virtual functions
//////////
+ex idx::replace_dim(const ex & new_dim) const
+{
+ idx *i_copy = static_cast<idx *>(duplicate());
+ i_copy->dim = new_dim;
+ i_copy->clearflag(status_flags::hash_calculated);
+ return i_copy->setflag(status_flags::dynallocated);
+}
+
+ex idx::minimal_dim(const idx & other) const
+{
+ if (dim.is_equal(other.dim) || dim < other.dim || (is_exactly_a<numeric>(dim) && is_a<symbol>(other.dim)))
+ return dim;
+ else if (dim > other.dim || (is_a<symbol>(dim) && is_exactly_a<numeric>(other.dim)))
+ return other.dim;
+ else
+ throw (std::runtime_error("idx::minimal_dim: index dimensions cannot be ordered"));
+}
+
ex varidx::toggle_variance(void) const
{
varidx *i_copy = static_cast<varidx *>(duplicate());
bool is_dummy_pair(const ex & e1, const ex & e2)
{
// The expressions must be indices
- if (!is_ex_of_type(e1, idx) || !is_ex_of_type(e2, idx))
+ if (!is_a<idx>(e1) || !is_a<idx>(e2))
return false;
return is_dummy_pair(ex_to<idx>(e1), ex_to<idx>(e2));