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/******************************************************************************
* Top contributors (to current version):
* Andrew Reynolds, Aina Niemetz
*
* This file is part of the cvc5 project.
*
* Copyright (c) 2009-2025 by the authors listed in the file AUTHORS
* in the top-level source directory and their institutional affiliations.
* All rights reserved. See the file COPYING in the top-level source
* directory for licensing information.
* ****************************************************************************
*
* Unit tests for arithmetic polynomial normalization.
*/
#include <iostream>
#include <memory>
#include <vector>
#include "expr/node.h"
#include "expr/node_manager.h"
#include "test_smt.h"
#include "theory/arith/arith_poly_norm.h"
#include "util/rational.h"
namespace cvc5::internal {
using namespace theory;
using namespace theory::arith;
namespace test {
class TestTheoryWhiteArithPolyNorm : public TestSmt
{
protected:
void SetUp() override { TestSmt::SetUp(); }
};
TEST_F(TestTheoryWhiteArithPolyNorm, check_poly_norm_int)
{
TypeNode intType = d_nodeManager->integerType();
Node zero = d_nodeManager->mkConstReal(Rational(0));
Node one = d_nodeManager->mkConstReal(Rational(1));
Node two = d_nodeManager->mkConstReal(Rational(2));
Node x = d_nodeManager->mkVar("x", intType);
Node y = d_nodeManager->mkVar("y", intType);
Node z = d_nodeManager->mkVar("z", intType);
Node w = d_nodeManager->mkVar("w", intType);
Node t1, t2;
t1 = zero;
t2 = one;
ASSERT_FALSE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(Kind::ADD, x, y);
t2 = d_nodeManager->mkNode(
Kind::ADD, y, d_nodeManager->mkNode(Kind::MULT, one, x));
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t2 = d_nodeManager->mkNode(Kind::ADD, x, x, y);
ASSERT_FALSE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(
Kind::ADD, x, d_nodeManager->mkNode(Kind::MULT, y, zero));
t2 = x;
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(
Kind::MULT, y, d_nodeManager->mkNode(Kind::ADD, one, one));
t2 = d_nodeManager->mkNode(Kind::ADD, y, y);
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(Kind::MULT,
d_nodeManager->mkNode(Kind::ADD, one, zero),
d_nodeManager->mkNode(Kind::ADD, x, y));
t2 = d_nodeManager->mkNode(Kind::ADD, x, y);
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(Kind::ADD, {x, y, z, w, y});
t2 = d_nodeManager->mkNode(Kind::ADD, {w, y, y, z, x});
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(Kind::SUB, t1, t2);
t2 = zero;
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(Kind::NEG, d_nodeManager->mkNode(Kind::ADD, x, y));
t2 = d_nodeManager->mkNode(
Kind::SUB, zero, d_nodeManager->mkNode(Kind::ADD, y, x));
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 =
d_nodeManager->mkNode(Kind::MULT, d_nodeManager->mkNode(Kind::NEG, x), y);
t2 =
d_nodeManager->mkNode(Kind::MULT, d_nodeManager->mkNode(Kind::NEG, y), x);
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(
Kind::MULT, x, d_nodeManager->mkNode(Kind::ADD, y, z));
t2 = d_nodeManager->mkNode(Kind::ADD,
d_nodeManager->mkNode(Kind::MULT, x, y),
d_nodeManager->mkNode(Kind::MULT, z, x));
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
}
TEST_F(TestTheoryWhiteArithPolyNorm, check_poly_norm_real)
{
TypeNode realType = d_nodeManager->realType();
Node zero = d_nodeManager->mkConstReal(Rational(0));
Node one = d_nodeManager->mkConstReal(Rational(1));
Node half = d_nodeManager->mkConstReal(Rational(1) / Rational(2));
Node two = d_nodeManager->mkConstReal(Rational(2));
Node x = d_nodeManager->mkVar("x", realType);
Node y = d_nodeManager->mkVar("y", realType);
Node t1, t2;
t1 = d_nodeManager->mkNode(Kind::ADD, x, y, y);
t2 = d_nodeManager->mkNode(Kind::ADD, y, x, y);
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = one;
t2 = d_nodeManager->mkNode(Kind::MULT, two, half);
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
t1 = d_nodeManager->mkNode(Kind::ADD, y, x);
t2 = d_nodeManager->mkNode(
Kind::MULT,
d_nodeManager->mkNode(Kind::ADD,
d_nodeManager->mkNode(Kind::MULT, half, x),
d_nodeManager->mkNode(Kind::MULT, half, y)),
two);
ASSERT_TRUE(PolyNorm::isArithPolyNorm(t1, t2));
}
} // namespace test
} // namespace cvc5::internal
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