/* Test Octagonal_Shape::relation_with(c).
   Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it>
   Copyright (C) 2010-2016 BUGSENG srl (http://bugseng.com)

This file is part of the Parma Polyhedra Library (PPL).

The PPL is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

The PPL is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software Foundation,
Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.

For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */

#include "ppl_test.hh"

namespace {

bool
test01() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2, EMPTY);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(A >= 0);

  using namespace IO_Operators;
  nout << "oct.relation_with(A >= 0) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::saturates()
    && Poly_Con_Relation::is_included()
    && Poly_Con_Relation::is_disjoint();

 return rel == known_result;
}

bool
test02() {
  Variable x(0);
  Variable y(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(y <= -1);

  print_constraints(oct, "*** oct ***");

  Constraint c(y >= 0);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test03() {
  Variable x(0);
  Variable y(1);
  Variable z(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(y <= 1);

  print_constraints(oct, "*** oct ***");

  Constraint c(y >= 0);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::strictly_intersects();

  return rel == known_result;
}

bool
test04() {
  Variable x(0);
  Variable y(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(x - y == 0);

  print_constraints(oct, "*** oct ***");

  Constraint c(x + y == 0);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::strictly_intersects();

  return rel == known_result;
}

bool
test05() {
  Variable x(0);
  Variable y(1);
  Variable z(2);
  Variable w(3);

  TOctagonal_Shape oct(4);
  oct.add_constraint(x - y == 0);
  oct.add_constraint(w <= 1);
  oct.add_constraint(x + z >= 3);
  oct.add_constraint(z - w <= 2);

  print_constraints(oct, "*** oct ***");

  Constraint c(x + w >= 0);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_included();

  return rel == known_result;
}

bool
test06() {
  Variable x(0);
  Variable y(1);

  Constraint_System cs;
  cs.insert(x + y >= 1);
  cs.insert(y >= 5);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  // An equality constraint non-intersecting the octagon.
  Constraint c(y == -1);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test07() {
  Variable A(0);
  Variable B(1);

  Constraint_System cs;
  cs.insert(A == 0);
  cs.insert(B <= -1);
  cs.insert(A - B <= 2);

  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(Constraint::zero_dim_false());

  using namespace IO_Operators;
  nout << "oct.relation_with(Constraint::zero_dim_false()) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test08() {
  Variable x(0);
  Variable y(1);
  Variable z(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(x == 1);
  oct.add_constraint(y <= 0);
  oct.add_constraint(z >= 2);

  print_constraints(oct, "*** oct ***");

  Constraint c(x > 1);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::saturates()
    && Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test09() {
  Variable A(0);
  Variable B(1);
  Variable C(2);
  Variable D(3);
  Variable E(4);
  Variable F(5);
  Variable G(6);
  Variable H(7);
  Variable I(8);
  Variable J(9);
  Variable K(10);
  Variable L(11);
  Variable M(12);
  Variable N(13);
  Variable O(14);
  Variable P(15);
  Variable Q(16);
  Variable R(17);
  Variable S(18);
  Variable T(19);
  Variable U(20);
  Variable V(21);
  Variable W(22);
  Variable X(23);
  Variable Y(24);
  Variable Z(25);
  Variable A1(26);
  Variable B1(27);
  Variable C1(28);
  Variable D1(29);
  Variable E1(30);
  Variable F1(31);
  Variable G1(32);
  Variable H1(33);

  TOctagonal_Shape oct(34);
  oct.add_constraint(C >= 4);
  oct.add_constraint(D >= 1);
  oct.add_constraint(G == 0);
  oct.add_constraint(L >= 5);
  oct.add_constraint(O >= 1);
  oct.add_constraint(A1 >= -1);
  oct.add_constraint(A1 <= 511);
  oct.add_constraint(C1 >= 0);
  oct.add_constraint(H1 >= 1);
  oct.add_constraint(C + D >= 5);
  oct.add_constraint(E - F == 0);
  oct.add_constraint(C - G >= 4);
  oct.add_constraint(C + G >= 4);
  oct.add_constraint(D - G >= 1);
  oct.add_constraint(D + G >= 1);
  oct.add_constraint(J - K == 0);
  oct.add_constraint(L - C >= 1);
  oct.add_constraint(C + L >= 9);
  oct.add_constraint(D + L >= 6);
  oct.add_constraint(L - G >= 5);
  oct.add_constraint(G + L >= 5);
  oct.add_constraint(M - N == 0);
  oct.add_constraint(C + O >= 5);
  oct.add_constraint(D + O >= 2);
  oct.add_constraint(O - G >= 1);
  oct.add_constraint(G + O >= 1);
  oct.add_constraint(L + O >= 6);
  oct.add_constraint(R - S == 0);
  oct.add_constraint(U - V == 0);
  oct.add_constraint(W - X == 0);
  oct.add_constraint(Y - Z == 0);
  oct.add_constraint(A1 - C <= 507);
  oct.add_constraint(C + A1 >= 3);
  oct.add_constraint(A1 - D <= 510);
  oct.add_constraint(D + A1 >= 0);
  oct.add_constraint(G - A1 <= 1);
  oct.add_constraint(A1 - G <= 511);
  oct.add_constraint(G + A1 >= -1);
  oct.add_constraint(G + A1 <= 511);
  oct.add_constraint(A1 - L <= 506);
  oct.add_constraint(L + A1 >= 4);
  oct.add_constraint(A1 - O <= 510);
  oct.add_constraint(O + A1 >= 0);
  oct.add_constraint(C + C1 >= 4);
  oct.add_constraint(D + C1 >= 1);
  oct.add_constraint(G -C1 <= 0);
  oct.add_constraint(G + C1 >= 0);
  oct.add_constraint(L + C1 >= 5);
  oct.add_constraint(C1 - O <= 0);
  oct.add_constraint(O + C1 >= 1);
  oct.add_constraint(A1 - C1 <= 511);
  oct.add_constraint(A1 + C1 >= -1);
  oct.add_constraint(D1 - E1 == 0);
  oct.add_constraint(C + H1 >= 5);
  oct.add_constraint(D + H1 >= 2);
  oct.add_constraint(H1 - G >= 1);
  oct.add_constraint(G + H1 >= 1);
  oct.add_constraint(L + H1 >= 6);
  oct.add_constraint(O + H1 >= 2);
  oct.add_constraint(A1 - H1 <= 510);
  oct.add_constraint(A1 + H1 >= 0);
  oct.add_constraint(C1 + H1 >= 1);
  print_constraints(oct, "*** oct ***");

  Constraint c(C1 >= 511);

  print_constraint(c, "*** c ***");

  Poly_Con_Relation rel = oct.relation_with(c);

  using namespace IO_Operators;
  nout << "oct.relation_with(c) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::strictly_intersects();

  return rel == known_result;
}

bool
test10() {
  Variable A(0);
  Variable B(1);

  Constraint_System cs;
  cs.insert(A == 0);
  cs.insert(B <= -1);
  cs.insert(A - B <= 2);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(B - A == 1);

  using namespace IO_Operators;
  nout << "oct.relation_with(B - A == 1) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test11() {
  // The zero-dim universe octagon.
  TOctagonal_Shape oct(0);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(Linear_Expression(0) >= 0);

  using namespace IO_Operators;
  nout << "oct.relation_with(0 >= 0) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_included()
    && Poly_Con_Relation::saturates();

  return rel == known_result;
}

bool
test12() {
  // The zero-dim universe octagon.
  TOctagonal_Shape oct(0);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(Linear_Expression(0) >= 1);

  using namespace IO_Operators;
  nout << "oct.relation_with(0 >= 1) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test13() {
  // The zero-dim universe octagon.
  TOctagonal_Shape oct(0);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(Linear_Expression(1) >= 0);

  using namespace IO_Operators;
  nout << "oct.relation_with(1 >= 0) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_included();

  return rel == known_result;
}

bool
test14() {
  Variable A(0);

  // An empty octagon.
  TOctagonal_Shape oct(1, EMPTY);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(A >= 0);

  using namespace IO_Operators;
  nout << "oct.relation_with(A >= 0) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::saturates()
    && Poly_Con_Relation::is_included()
    && Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

bool
test15() {
  Variable A(0);
  Variable B(1);
  Constraint_System cs(A + B == 3);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(A + B >= 3);

  using namespace IO_Operators;
  nout << "oct.relation_with(A + B >= 3) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::saturates()
    && Poly_Con_Relation::is_included();

  return rel == known_result;
}

bool
test16() {
  Variable A(0);
  Variable B(1);
  Constraint_System cs(A + B <= 3);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(A + B >= 3);

  using namespace IO_Operators;
  nout << "oct.relation_with(A + B >= 3) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::strictly_intersects();

  return rel == known_result;
}

bool
test17() {
  Variable A(0);
  Variable B(1);

  Constraint_System cs;
  cs.insert(A >= 1);
  cs.insert(B >= 0);
  cs.insert(A + B <= 3);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(A + B <= 10);

  using namespace IO_Operators;
  nout << "oct.relation_with(A + B <= 10) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_included();

  return rel == known_result;
}

bool
test18() {
  Variable A(0);
  Variable B(1);

  Constraint_System cs;
  cs.insert(A >= 1);
  cs.insert(B >= 0);
  cs.insert(A + B <= 3);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(A + B >= 1);

  using namespace IO_Operators;
  nout << "oct.relation_with(A + B >= 1) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_included();

  return rel == known_result;
}

bool
test19() {
  Variable A(0);
  Variable B(1);

  Constraint_System cs;
  cs.insert(A >= 1);
  cs.insert(B >= 0);
  cs.insert(A + B <= 3);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(B - A >= 1);

  using namespace IO_Operators;
  nout << "oct.relation_with(B - A >= 1) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::strictly_intersects();

  return rel == known_result;
}

bool
test20() {
  Variable A(0);
  Variable B(1);

  Constraint_System cs;
  cs.insert(A == 0);
  cs.insert(B <= -1);
  cs.insert(A - B <= 2);
  TOctagonal_Shape oct(cs);

  print_constraints(oct, "*** oct ***");

  Poly_Con_Relation rel = oct.relation_with(B - A > 1);

  using namespace IO_Operators;
  nout << "oct.relation_with(B - A > 1) == " << rel << endl;

  Poly_Con_Relation known_result = Poly_Con_Relation::is_disjoint();

  return rel == known_result;
}

} // namespace

BEGIN_MAIN
  DO_TEST(test01);
  DO_TEST(test02);
  DO_TEST(test03);
  DO_TEST(test04);
  DO_TEST(test05);
  DO_TEST(test06);
  DO_TEST(test07);
  DO_TEST(test08);
  DO_TEST_F8(test09);
  DO_TEST(test10);
  DO_TEST(test11);
  DO_TEST(test12);
  DO_TEST(test13);
  DO_TEST(test14);
  DO_TEST(test15);
  DO_TEST(test16);
  DO_TEST(test17);
  DO_TEST(test18);
  DO_TEST(test19);
  DO_TEST(test20);
END_MAIN
