Files
cvc5/examples/api/cpp/linear_arith.cpp
Aina Niemetz 7a4a17b193 c api: Introduce C/C++ specific handling of public enums. (#9915)
This introduces a general way to use public enums both in the C++ and
the (upcoming) C API. For the C++ case, we now use enum classes rather
than enums for public enums. This also includes definitions for
C API to_string conversions for public enums. C API definitions in
cvc5_types.h are only included from the C API, guarded via a macro
(thus, for now, not included yet when the header is included).
2023-08-22 18:17:16 +00:00

83 lines
2.4 KiB
C++

/******************************************************************************
* Top contributors (to current version):
* Aina Niemetz, Tim King, Mathias Preiner
*
* This file is part of the cvc5 project.
*
* Copyright (c) 2009-2022 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.
* ****************************************************************************
*
* A simple demonstration of the linear arithmetic solving capabilities and
* the push pop of cvc5. This also gives an example option.
*/
#include <iostream>
#include <cvc5/cvc5.h>
using namespace std;
using namespace cvc5;
int main()
{
Solver slv;
slv.setLogic("QF_LIRA"); // Set the logic
// Prove that if given x (Integer) and y (Real) then
// the maximum value of y - x is 2/3
// Sorts
Sort real = slv.getRealSort();
Sort integer = slv.getIntegerSort();
// Variables
Term x = slv.mkConst(integer, "x");
Term y = slv.mkConst(real, "y");
// Constants
Term three = slv.mkInteger(3);
Term neg2 = slv.mkInteger(-2);
Term two_thirds = slv.mkReal(2, 3);
// Terms
Term three_y = slv.mkTerm(Kind::MULT, {three, y});
Term diff = slv.mkTerm(Kind::SUB, {y, x});
// Formulas
Term x_geq_3y = slv.mkTerm(Kind::GEQ, {x, three_y});
Term x_leq_y = slv.mkTerm(Kind::LEQ, {x, y});
Term neg2_lt_x = slv.mkTerm(Kind::LT, {neg2, x});
Term assertions = slv.mkTerm(Kind::AND, {x_geq_3y, x_leq_y, neg2_lt_x});
cout << "Given the assertions " << assertions << endl;
slv.assertFormula(assertions);
slv.push();
Term diff_leq_two_thirds = slv.mkTerm(Kind::LEQ, {diff, two_thirds});
cout << "Prove that " << diff_leq_two_thirds << " with cvc5." << endl;
cout << "cvc5 should report UNSAT." << endl;
cout << "Result from cvc5 is: "
<< slv.checkSatAssuming(diff_leq_two_thirds.notTerm()) << endl;
slv.pop();
cout << endl;
slv.push();
Term diff_is_two_thirds = slv.mkTerm(Kind::EQUAL, {diff, two_thirds});
slv.assertFormula(diff_is_two_thirds);
cout << "Show that the assertions are consistent with " << endl;
cout << diff_is_two_thirds << " with cvc5." << endl;
cout << "cvc5 should report SAT." << endl;
cout << "Result from cvc5 is: " << slv.checkSat() << endl;
slv.pop();
cout << "Thus the maximum value of (y - x) is 2/3."<< endl;
return 0;
}