/* Test Octagonal_Shape::generalized_affine_preimage().
   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"
#include <limits>

namespace {

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(2*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, GREATER_OR_EQUAL, Linear_Expression(-1));

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(2*A == 1);

  bool ok = (Octagonal_Shape<mpq_class>(oct) == known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "GREATER_OR_EQUAL, -1) ***");

  return ok;
}

bool
test02() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(2*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, Linear_Expression(-1));

  Octagonal_Shape<mpq_class> known_result(2, EMPTY);

  bool ok = (Octagonal_Shape<mpq_class>(oct) == known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -1) ***");

  return ok;
}

bool
test03() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(4*A == 1);
  oct.add_constraint(B >= 5);

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

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(4*A == 1);
  known_result.add_constraint(-B >= 4);

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -B+1);

  bool ok = check_result(oct, known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -B+1) ***");

  return ok;
}

bool
test04() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(4*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, B+1);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(4*A == 1);
  known_result.add_constraint(B >= 4);

  bool ok = check_result(oct, known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, B+1) ***");

  return ok;
}

bool
test05() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(7*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, 2*B+1);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(7*A == 1);
  known_result.add_constraint(B >= 2);

  bool ok = check_result(oct, known_result, "9.54e-8", "9.54e-8", "9.54e-8");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, 2*B+1) ***");

  return ok;
}

bool
test06() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(5*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -2*B+1);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(5*A == 1);
  known_result.add_constraint(-B >= 2);

  bool ok = check_result(oct, known_result, "9.54e-8", "9.54e-8", "9.54e-8");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -2*B+1) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, 3*A-2*B+1);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(-2*B >= 3);

  bool ok = check_result(oct, known_result, "1.98e-6", "9.26e-7", "5.25e-7");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, 3*A-2*B+1) ***");

  return ok;
}

bool
test08() {
  Variable A(0);
  Variable B(1);

  TOctagonal_Shape oct(2);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(B >= 5);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -3*A-2*B+1);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(-2*B >= 5);

  bool ok = check_result(oct, known_result, "1.98e-6", "9.26e-7", "5.25e-7");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -3*A-2*B+1) ***");

  return ok;
}

bool
test09() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B >= 7);
  oct.add_constraint(3*C <= 7);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -3*A-2*B+7*C+1, 2);

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(3*B <= 14);
  known_result.add_constraint(3*B - 3*A <= 13);
  known_result.add_constraint(3*B - 3*C <= 7);
  known_result.add_constraint(3*C <= 7);

  bool ok = check_result(oct, known_result, "7.39e-5", "4.07e-5", "2.55e-5");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -3*A-2*B+7*C+1, 2) ***");

  return ok;
}

bool
test10() {
  // If the Coefficient type is not wide enough, do nothing.
  if (std::numeric_limits<Coefficient>::is_bounded
      && (std::numeric_limits<Coefficient>::min() > -203
          || std::numeric_limits<Coefficient>::max() < 629))
    return true;

  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B >= 7);
  oct.add_constraint(3*C <= 7);
  oct.add_constraint(5*C >= 7);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(20*B <= -203);
  known_result.add_constraint(60*A - 60*B >= 629);
  known_result.add_constraint(60*A + 60*B <= -589);
  known_result.add_constraint(20*C - 20*B >= 231);
  known_result.add_constraint(4*C + 4*B <= -35);
  known_result.add_constraint(3*C <= 7);
  known_result.add_constraint(5*C >= 7);

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -3*A-2*B-7*C+1, 3);

  bool ok = check_result(oct, known_result, "7.39e-5", "4.07e-5", "2.55e-5");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -3*A-2*B-7*C+1, 3) ***");

  return ok;
}

bool
test11() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B >= 7);
  oct.add_constraint(3*C <= 7);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -3*A-2*B+7*C+1, -2);

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(3*C <= 7);

  bool ok = check_result(oct, known_result, "1.98e-6", "9.26e-7", "5.25e-7");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -3*A-2*B+7*C+1, -2) ***");

  return ok;
}

bool
test12() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B >= 7);
  oct.add_constraint(3*C <= 7);
  oct.add_constraint(5*C >= 7);

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

  oct.generalized_affine_preimage(B, LESS_OR_EQUAL, -3*A-2*B-7*C+1, -3);

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(12*B >= -35);
  known_result.add_constraint(4*A - 4*B <= 13);
  known_result.add_constraint(4*C - 4*B <= 21);
  known_result.add_constraint(3*C <= 7);
  known_result.add_constraint(5*C >= 7);

  bool ok = check_result(oct, known_result, "1.16e-5", "5.04e-6", "3.50e-6");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "LESS_OR_EQUAL, -3*A-2*B-7*C+1, -3) ***");

  return ok;
}

bool
test13() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B <= 7);
  oct.add_constraint(3*C <= 7);

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

  oct.generalized_affine_preimage(B, GREATER_OR_EQUAL, -3*A-2*B+7*C+1, -2);

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(3*B <= 35);
  known_result.add_constraint(3*B - 3*A <= 34);
  known_result.add_constraint(3*B - 3*C <= 28);
  known_result.add_constraint(3*C <= 7);

  bool ok = check_result(oct, known_result, "7.39e-5", "4.07e-5", "2.55e-5");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "GREATER_OR_EQUAL, -3*A-2*B+7*C+1, -2) ***");

  return ok;
}

bool
test14() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B <= 7);
  oct.add_constraint(3*C <= 7);
  oct.add_constraint(5*C >= 7);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(20*B <= 27);
  known_result.add_constraint(60*B - 60*A <= 61);
  known_result.add_constraint(60*A + 60*B <= 101);
  known_result.add_constraint(20*C - 20*B >= 1);
  known_result.add_constraint(4*C + 4*B <= 11);
  known_result.add_constraint(3*C <= 7);
  known_result.add_constraint(5*C >= 7);

  oct.generalized_affine_preimage(B, GREATER_OR_EQUAL, 3*A-2*B-7*C+1, -3);

  bool ok = check_result(oct, known_result, "7.39e-6", "4.07e-6", "2.55e-6");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "GREATER_OR_EQUAL, 3*A-2*B-7*C+1, -3) ***");

  return ok;
}

bool
test15() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(3*A == 1);
  oct.add_constraint(2*B >= 7);
  oct.add_constraint(3*C <= 7);
  oct.add_constraint(5*C >= 7);

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

  oct.generalized_affine_preimage(B, GREATER_OR_EQUAL, 3*A-2*B-7*C+1, -3);

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(3*A == 1);
  known_result.add_constraint(3*C <= 7);
  known_result.add_constraint(5*C >= 7);

  bool ok = check_result(oct, known_result, "1.98e-6", "9.26e-7", "5.25e-7");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "GREATER_OR_EQUAL, 3*A-2*B-7*C+1, -3) ***");

  return ok;
}

bool
test16() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(2*A == 1);
  oct.add_constraint(B >= 5);
  oct.add_constraint(3*C <= 7);
  oct.add_constraint(5*C >= 7);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(2*A == 1);
  known_result.add_constraint(3*C <= 7);
  known_result.add_constraint(5*C >= 7);

  oct.generalized_affine_preimage(B, EQUAL, 3*A+2);

  bool ok = check_result(oct, known_result, "1.98e-6", "9.26e-7", "5.25e-7");

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "EQUAL, -1) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(2*A == 1);
  oct.add_constraint(B <= 5);

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

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(2*A == 1);

  oct.generalized_affine_preimage(B, GREATER_OR_EQUAL, Linear_Expression(-1));

  bool ok = (Octagonal_Shape<mpq_class>(oct) == known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "GREATER_OR_EQUAL, -1) ***");

  return ok;
}

bool
test18() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(2*A == 1);
  oct.add_constraint(B <= 5);
  oct.add_constraint(3*C <= 8);
  oct.add_constraint(2*C >= 7);

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

  Octagonal_Shape<mpq_class> known_result(3, EMPTY);

  oct.generalized_affine_preimage(B, EQUAL, 3*A+2);

  bool ok = (Octagonal_Shape<mpq_class>(oct) == known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(B, "
                    "EQUAL, 3*A+2) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(B - A <= 2);
  oct.add_constraint(B <= 5);

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

  oct.generalized_affine_preimage(A, LESS_OR_EQUAL, B, 5);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(B <= 3);

  bool ok = (Octagonal_Shape<mpq_class>(oct) == known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(A, "
                    "LESS_OR_EQUAL, B, 5) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(B - A <= 2);
  oct.add_constraint(B <= 5);

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

  oct.generalized_affine_preimage(A, LESS_OR_EQUAL, B + 3, 2);

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(B <= 5);

  bool ok = check_result(oct, known_result);

  print_constraints(oct,
                    "*** oct.generalized_affine_preimage(A, "
                    "LESS_OR_EQUAL, B + 3, 2) ***");

  return ok;
}

} // 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(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
