/* Test Octagonal_Shape::generalized_affine_image().
   Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it>
   Copyright (C) 2010-2011 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://www.cs.unipr.it/ppl/ . */

#include "ppl_test.hh"

namespace {

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(A >= 0);
  oct.add_constraint(A <= 4);
  oct.add_constraint(B <= 5);
  oct.add_constraint(A <= B);

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

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(A >= 0);
  known_result.add_constraint(A <= 4);
  known_result.add_constraint(B - A >= 2);

  oct.generalized_affine_image(B, GREATER_OR_EQUAL, A+2);

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

  print_constraints(oct, "*** oct.generalized_affine_image(B, "
                    "GREATER_OR_EQUAL, A+2) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(B >= 0);
  oct.add_constraint(A - B >= 0);

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

  Octagonal_Shape<mpq_class> known_result(oct);

  oct.generalized_affine_image(A, EQUAL, A + 2);

  known_result.affine_image(A, A + 2);

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

  print_constraints(oct, "*** oct.generalized_affine_image"
                    "(A, EQUAL, A + 2) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2, EMPTY);

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

  Octagonal_Shape<mpq_class> known_result(2, EMPTY);

  oct.generalized_affine_image(A, LESS_OR_EQUAL, B + 1);

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

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

  return ok;
}

bool
test04() {
  Variable x(0);
  Variable y(1);
  Variable z(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(x >= 2);
  oct.add_constraint(x - y <= 3);
  oct.add_constraint(y <= 2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(x >= 1);
  known_result.add_constraint(y <= 2);
  known_result.add_constraint(- y <= 1);

  oct.generalized_affine_image(x, GREATER_OR_EQUAL, 2*x - 2, 2);

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

  print_constraints(oct, "*** oct.generalized_affine_image(x,"
                         "GREATER_OR_EQUAL, 2*x - 2, 2) ***");

  return ok;
}

bool
test05() {
  Variable x(0);
  Variable y(1);

  TOctagonal_Shape oct(3);
  oct.add_constraint(x >= 2);
  oct.add_constraint(x - y <= 3);
  oct.add_constraint(y <= 2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(x >= 2);
  known_result.add_constraint(x <= 5);
  known_result.add_constraint(x - y <= 1);

  oct.generalized_affine_image(y, GREATER_OR_EQUAL, 2*x - 2, 2);

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

  print_constraints(oct, "*** oct.generalized_affine_image(y, "
                         "GREATER_OR_EQUAL, 2*x - 2, 2) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(x >= 4);
  oct.add_constraint(x <= -6);
  oct.add_constraint(y == 0);

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

  Octagonal_Shape<mpq_class> known_result(2 , EMPTY);

  oct.generalized_affine_image(y, LESS_OR_EQUAL, Linear_Expression(2));

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

  print_constraints(oct, "*** oct.generalized_affine_image(y, "
                         "LESS_OR_EQUAL, 2) ***");

  return ok;
}

bool
test07() {
  Variable x(0);
  //  Variable y(1);

  TOctagonal_Shape oct(2, EMPTY);

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

  Octagonal_Shape<mpq_class> known_result(oct);

  oct.generalized_affine_image(x, EQUAL, Linear_Expression(6));

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

  print_constraints(oct, "*** oct.generalized_affine_image(x, EQUAL, 6) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(A >= 0);
  oct.add_constraint(B >= 0);

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

  Octagonal_Shape<mpq_class> known_result(2);
  known_result.add_constraint(B >= 0);
  known_result.add_constraint(A <= 3);

  oct.generalized_affine_image(A, LESS_OR_EQUAL, Linear_Expression(3));

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

  print_constraints(oct, "*** oct.generalized_affine_image(A, "
                         "LESS_OR_EQUAL, 3) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(A == 0);
  oct.add_constraint(B >= 1);

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

  Octagonal_Shape<mpq_class> known_result(oct);
  known_result.affine_image(B, Linear_Expression(5));

  oct.generalized_affine_image(B, EQUAL, Linear_Expression(5));

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

  print_constraints(oct, "*** oct.generalized_affine_image(B, EQUAL, 5) ***");

  return ok;
}

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

  TOctagonal_Shape oct(2);
  oct.add_constraint(A + B == 0);
  oct.add_constraint(B <= 1);

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

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

  oct.generalized_affine_image(A, GREATER_OR_EQUAL, Linear_Expression(2));

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

  print_constraints(oct, "*** oct.generalized_affine_image(A, "
                         "GREATER_OR_EQUAL, 2) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A - B == 0);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C + A <= 2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(A - B == 0);
  known_result.add_constraint(B <= 1);
  known_result.add_constraint(C + A <= 3);
  known_result.add_constraint(C + B <= 3);

  oct.generalized_affine_image(C, LESS_OR_EQUAL, C + 1);

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

  print_constraints(oct, "*** oct.generalized_affine_image(C, "
                         "LESS_OR_EQUAL, C + 1) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A - B == 0);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C + A <= 2);

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

  Octagonal_Shape<mpq_class> known_result(oct);
  known_result.affine_image(C, C + 1);

  oct.generalized_affine_image(C, EQUAL, C + 1);

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

  print_constraints(oct, "*** oct.generalized_affine_image(C, "
                    "EQUAL, C+1) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A - B == 0);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C + A <= 2);

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

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

  oct.generalized_affine_image(B, GREATER_OR_EQUAL, B - 2);

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

  print_constraints(oct, "*** oct.generalized_affine_image(B, "
                         "GREATER_OR_EQUAL, B - 2) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A - B == 0);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C + A <= 2);

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

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

  oct.generalized_affine_image(B, LESS_OR_EQUAL, C + 3);

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

  print_constraints(oct, "*** oct.generalized_affine_image(B, "
                         "LESS_OR_EQUAL, C + 3) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A - B == 0);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C + A <=2);

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

  Octagonal_Shape<mpq_class> known_result(oct);
  known_result.affine_image(B, C + 3);

  oct.generalized_affine_image(B, EQUAL, C + 3);

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

  print_constraints(oct,
                    "*** oct.generalized_affine_image(B, EQUAL, C+3) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A <= 21);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C <= 2);
  oct.add_constraint(A >= 2);
  oct.add_constraint(B >= -1);
  oct.add_constraint(C >= -2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(A <= 21);
  known_result.add_constraint(A >= 2);
  known_result.add_constraint(C <= 2);
  known_result.add_constraint(C >= -2);
  known_result.add_constraint(B <= 4);

  oct.generalized_affine_image(B, LESS_OR_EQUAL, B + 3);

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

  print_constraints(oct,
                    "*** oct.generalized_affine_image(B, "
                    "LESS_OR_EQUAL, B + 3) ***");

  return ok;
}

bool
test17() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(A <= 21);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C <= 2);
  oct.add_constraint(A >= 2);
  oct.add_constraint(B >= -1);
  oct.add_constraint(C >= -2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(A <= 21);
  known_result.add_constraint(A >= 2);
  known_result.add_constraint(C <= 2);
  known_result.add_constraint(C >= -2);
  known_result.add_constraint(B + C <= -3);

  oct.generalized_affine_image(B, LESS_OR_EQUAL, C + 3, -1);

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

  print_constraints(oct,
                    "*** oct.generalized_affine_image(B, "
                    "LESS_OR_EQUAL, C + 3, -1) ***");

  return ok;
}

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

  TOctagonal_Shape oct(3);
  oct.add_constraint(A <= 21);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C <= 2);
  oct.add_constraint(A >= 2);
  oct.add_constraint(B >= -1);
  oct.add_constraint(C >= -2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(A <= 21);
  known_result.add_constraint(A >= 2);
  known_result.add_constraint(C <= 2);
  known_result.add_constraint(C >= -2);
  known_result.add_constraint(A + B <= -3);

  oct.generalized_affine_image(B, LESS_OR_EQUAL, A + 3, -1);

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

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

  return ok;
}

bool
test19() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(A <= 21);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C <= 2);
  oct.add_constraint(A >= 2);
  oct.add_constraint(B >= -1);
  oct.add_constraint(C >= -2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(A <= 21);
  known_result.add_constraint(A >= 2);
  known_result.add_constraint(C <= 2);
  known_result.add_constraint(C >= -2);
  known_result.add_constraint(B - A >= 3);

  oct.generalized_affine_image(B, GREATER_OR_EQUAL, A + 3);

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

  print_constraints(oct,
                    "*** oct.generalized_affine_image(B, "
                    "GREATER_OR_EQUAL, A + 3) ***");

  return ok;
}

bool
test20() {
  Variable A(0);
  Variable B(1);
  Variable C(2);

  TOctagonal_Shape oct(3);
  oct.add_constraint(A <= 21);
  oct.add_constraint(B <= 1);
  oct.add_constraint(C <= 2);
  oct.add_constraint(A >= 2);
  oct.add_constraint(B >= -1);
  oct.add_constraint(C >= -2);

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

  Octagonal_Shape<mpq_class> known_result(3);
  known_result.add_constraint(A <= 21);
  known_result.add_constraint(A >= 2);
  known_result.add_constraint(C <= 2);
  known_result.add_constraint(C >= -2);
  known_result.add_constraint(A + B >= -3);

  oct.generalized_affine_image(B, GREATER_OR_EQUAL, A + 3, -1);

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

  print_constraints(oct,
                    "*** oct.generalized_affine_image(B, "
                    "GREATER_OR_EQUAL, A + 3, -1) ***");

  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
