| add_congruence(const Congruence &cg) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | add_congruences(const Congruence_System &cgs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | add_constraint(const Constraint &c) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | add_constraints(const Constraint_System &cs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | add_recycled_congruences(Congruence_System &cgs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | add_recycled_constraints(Constraint_System &cs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | add_space_dimensions_and_embed(dimension_type m) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | add_space_dimensions_and_project(dimension_type m) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | affine_dimension() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | affine_image(Variable var, const Linear_Expression &expr, Coefficient_traits::const_reference denominator=Coefficient_one()) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | affine_preimage(Variable var, const Linear_Expression &expr, Coefficient_traits::const_reference denominator=Coefficient_one()) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | ascii_dump() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | ascii_dump(std::ostream &s) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | ascii_load(std::istream &s) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | bounded_affine_image(Variable var, const Linear_Expression &lb_expr, const Linear_Expression &ub_expr, Coefficient_traits::const_reference denominator=Coefficient_one()) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | bounded_affine_preimage(Variable var, const Linear_Expression &lb_expr, const Linear_Expression &ub_expr, Coefficient_traits::const_reference denominator=Coefficient_one()) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | bounds_from_above(const Linear_Expression &expr) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | bounds_from_below(const Linear_Expression &expr) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | clear_reduced_flag() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineprotected | 
  | concatenate_assign(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | congruences() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | constrains(Variable var) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | constraints() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | contains(const Partially_Reduced_Product &y) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | d1 | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | protected | 
  | d2 | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | protected | 
  | difference_assign(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | domain1() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | Domain1 typedef | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | protected | 
  | Domain2 typedef | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | protected | 
  | domain2() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | drop_some_non_integer_points(Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | drop_some_non_integer_points(const Variables_Set &vars, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | expand_space_dimension(Variable var, dimension_type m) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | external_memory_in_bytes() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | fold_space_dimensions(const Variables_Set &vars, Variable dest) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | generalized_affine_image(Variable var, Relation_Symbol relsym, const Linear_Expression &expr, Coefficient_traits::const_reference denominator=Coefficient_one()) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | generalized_affine_image(const Linear_Expression &lhs, Relation_Symbol relsym, const Linear_Expression &rhs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | generalized_affine_preimage(Variable var, Relation_Symbol relsym, const Linear_Expression &expr, Coefficient_traits::const_reference denominator=Coefficient_one()) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | generalized_affine_preimage(const Linear_Expression &lhs, Relation_Symbol relsym, const Linear_Expression &rhs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | hash_code() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | intersection_assign(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | is_bounded() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | is_discrete() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | is_disjoint_from(const Partially_Reduced_Product &y) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | is_empty() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | is_reduced() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineprotected | 
  | is_topologically_closed() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | is_universe() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | m_swap(Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | map_space_dimensions(const Partial_Function &pfunc) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | max_space_dimension() | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlinestatic | 
  | maximize(const Linear_Expression &expr, Coefficient &sup_n, Coefficient &sup_d, bool &maximum) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | maximize(const Linear_Expression &expr, Coefficient &sup_n, Coefficient &sup_d, bool &maximum, Generator &g) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | minimize(const Linear_Expression &expr, Coefficient &inf_n, Coefficient &inf_d, bool &minimum) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | minimize(const Linear_Expression &expr, Coefficient &inf_n, Coefficient &inf_d, bool &minimum, Generator &g) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | minimized_congruences() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | minimized_constraints() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | OK() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | operator!=(const Partially_Reduced_Product< D1, D2, R > &x, const Partially_Reduced_Product< D1, D2, R > &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | operator!=(const Partially_Reduced_Product< D1, D2, R > &x, const Partially_Reduced_Product< D1, D2, R > &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | operator<<(std::ostream &s, const Partially_Reduced_Product< D1, D2, R > &dp) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | operator<<(std::ostream &s, const Partially_Reduced_Product< D1, D2, R > &dp) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | operator=(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | operator==(const Partially_Reduced_Product< D1, D2, R > &x, const Partially_Reduced_Product< D1, D2, R > &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | operator==(const Partially_Reduced_Product< D1, D2, R > &x, const Partially_Reduced_Product< D1, D2, R > &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | Partially_Reduced_Product(dimension_type num_dimensions=0, Degenerate_Element kind=UNIVERSE) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(const Congruence_System &cgs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(Congruence_System &cgs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(const Constraint_System &cs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(Constraint_System &cs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(const C_Polyhedron &ph, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(const NNC_Polyhedron &ph, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(const Grid &gr, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | Partially_Reduced_Product(const Box< Interval > &box, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | Partially_Reduced_Product(const BD_Shape< U > &bd, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | Partially_Reduced_Product(const Octagonal_Shape< U > &os, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | Partially_Reduced_Product(const Partially_Reduced_Product &y, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | Partially_Reduced_Product(const Partially_Reduced_Product< E1, E2, S > &y, Complexity_Class complexity=ANY_COMPLEXITY) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineexplicit | 
  | print() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | reduce() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | reduced | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | protected | 
  | refine_with_congruence(const Congruence &cg) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | refine_with_congruences(const Congruence_System &cgs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | refine_with_constraint(const Constraint &c) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | refine_with_constraints(const Constraint_System &cs) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | relation_with(const Constraint &c) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | relation_with(const Congruence &cg) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | relation_with(const Generator &g) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > |  | 
  | remove_higher_space_dimensions(dimension_type new_dimension) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | remove_space_dimensions(const Variables_Set &vars) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | set_reduced_flag() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inlineprotected | 
  | space_dimension() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | strictly_contains(const Partially_Reduced_Product &y) const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | swap(Partially_Reduced_Product< D1, D2, R > &x, Partially_Reduced_Product< D1, D2, R > &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | swap(Partially_Reduced_Product< D1, D2, R > &x, Partially_Reduced_Product< D1, D2, R > &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | related | 
  | time_elapse_assign(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | topological_closure_assign() | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | total_memory_in_bytes() const | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | unconstrain(Variable var) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | unconstrain(const Variables_Set &vars) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | upper_bound_assign(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | upper_bound_assign_if_exact(const Partially_Reduced_Product &y) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | widening_assign(const Partially_Reduced_Product &y, unsigned *tp=NULL) | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline | 
  | ~Partially_Reduced_Product() | Parma_Polyhedra_Library::Partially_Reduced_Product< D1, D2, R > | inline |