__isl_give isl_morph *isl_morph_remove_ran_dims(__isl_take isl_morph *morph,
	enum isl_dim_type type, unsigned first, unsigned n)
{
	unsigned ran_offset;

	if (n == 0)
		return morph;

	morph = isl_morph_cow(morph);
	if (!morph)
		return NULL;

	ran_offset = 1 + isl_space_offset(morph->ran->dim, type);

	morph->ran = isl_basic_set_remove_dims(morph->ran, type, first, n);

	morph->map = isl_mat_drop_rows(morph->map, ran_offset + first, n);

	morph->inv = isl_mat_drop_cols(morph->inv, ran_offset + first, n);

	if (morph->dom && morph->ran && morph->map && morph->inv)
		return morph;

	isl_morph_free(morph);
	return NULL;
}
/**
 * Reduce the modulo guard expressed by "constraints" using equalities
 * found in outer nesting levels (stored in "equal").
 * The modulo guard may be an equality or a pair of inequalities.
 * In case of a pair of inequalities, *bound contains the bound on the
 * corresponding modulo expression.  If any reduction is performed
 * then this bound is recomputed.
 *
 * "level" may not correspond to an existentially quantified variable.
 *
 * We first check if there are any equalities we can use.  If not,
 * there is again nothing to reduce.
 * For the actual reduction, we use isl_basic_set_gist, but this
 * function will only perform the reduction we want here if the
 * the variable that imposes the modulo constraint has been projected
 * out (i.e., turned into an existentially quantified variable).
 * After the call to isl_basic_set_gist, we need to move the
 * existential variable back into the position where the calling
 * function expects it (assuming there are any constraints left).
 * We do this by adding an equality between the given dimension and
 * the existentially quantified variable.
 *
 * If there are no existentially quantified variables left, then
 * we don't need to add this equality.
 * If, on the other hand, the resulting basic set involves more
 * than one existentially quantified variable, then the caller
 * will not be able to handle the result, so we just return the
 * original input instead.
 */
CloogConstraintSet *cloog_constraint_set_reduce(CloogConstraintSet *constraints,
	int level, CloogEqualities *equal, int nb_par, cloog_int_t *bound)
{
	int j;
	isl_space *idim;
	struct isl_basic_set *eq;
	struct isl_basic_map *id;
	struct cloog_isl_dim dim;
	struct isl_constraint *c;
	unsigned constraints_dim;
	unsigned n_div;
	isl_basic_set *bset, *orig;

	bset = cloog_constraints_set_to_isl(constraints);
	orig = isl_basic_set_copy(bset);
	dim = set_cloog_dim_to_isl_dim(constraints, level - 1);
	assert(dim.type == isl_dim_set);

	eq = NULL;
	for (j = 0; j < level - 1; ++j) {
		isl_basic_set *bset_j;
		if (equal->types[j] != EQTYPE_EXAFFINE)
			continue;
		bset_j = equality_to_basic_set(equal, j);
		if (!eq)
			eq = bset_j;
		else
			eq = isl_basic_set_intersect(eq, bset_j);
	}
	if (!eq) {
		isl_basic_set_free(orig);
		return cloog_constraint_set_from_isl_basic_set(bset);
	}

	idim = isl_space_map_from_set(isl_basic_set_get_space(bset));
	id = isl_basic_map_identity(idim);
	id = isl_basic_map_remove_dims(id, isl_dim_out, dim.pos, 1);
	bset = isl_basic_set_apply(bset, isl_basic_map_copy(id));
	bset = isl_basic_set_apply(bset, isl_basic_map_reverse(id));

	constraints_dim = isl_basic_set_dim(bset, isl_dim_set);
	eq = isl_basic_set_remove_dims(eq, isl_dim_set, constraints_dim,
			isl_basic_set_dim(eq, isl_dim_set) - constraints_dim);
	bset = isl_basic_set_gist(bset, eq);
	n_div = isl_basic_set_dim(bset, isl_dim_div);
	if (n_div > 1) {
		isl_basic_set_free(bset);
		return cloog_constraint_set_from_isl_basic_set(orig);
	}
	if (n_div < 1) {
		isl_basic_set_free(orig);
		return cloog_constraint_set_from_isl_basic_set(bset);
	}

	c = isl_equality_alloc(isl_basic_set_get_local_space(bset));
	c = isl_constraint_set_coefficient_si(c, isl_dim_div, 0, 1);
	c = isl_constraint_set_coefficient_si(c, isl_dim_set, dim.pos, -1);
	bset = isl_basic_set_add_constraint(bset, c);

	isl_int_set_si(*bound, 0);
	constraints = cloog_constraint_set_from_isl_basic_set(bset);
	cloog_constraint_set_foreach_constraint(constraints,
						add_constant_term, bound);

	isl_basic_set_free(orig);
	return cloog_constraint_set_from_isl_basic_set(bset);
}