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Diffstat (limited to 'examples/api/bitvectors-new.cpp')
-rw-r--r-- | examples/api/bitvectors-new.cpp | 127 |
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diff --git a/examples/api/bitvectors-new.cpp b/examples/api/bitvectors-new.cpp deleted file mode 100644 index ebb8ee7ee..000000000 --- a/examples/api/bitvectors-new.cpp +++ /dev/null @@ -1,127 +0,0 @@ -/********************* */ -/*! \file bitvectors-new.cpp - ** \verbatim - ** Top contributors (to current version): - ** Aina Niemetz, Makai Mann - ** This file is part of the CVC4 project. - ** Copyright (c) 2009-2019 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.\endverbatim - ** - ** \brief A simple demonstration of the solving capabilities of the CVC4 - ** bit-vector solver. - ** - **/ - -#include <iostream> - -#include <cvc4/api/cvc4cpp.h> - -using namespace std; -using namespace CVC4::api; - -int main() -{ - Solver slv; - slv.setLogic("QF_BV"); // Set the logic - - // The following example has been adapted from the book A Hacker's Delight by - // Henry S. Warren. - // - // Given a variable x that can only have two values, a or b. We want to - // assign to x a value other than the current one. The straightforward code - // to do that is: - // - //(0) if (x == a ) x = b; - // else x = a; - // - // Two more efficient yet equivalent methods are: - // - //(1) x = a ⊕ b ⊕ x; - // - //(2) x = a + b - x; - // - // We will use CVC4 to prove that the three pieces of code above are all - // equivalent by encoding the problem in the bit-vector theory. - - // Creating a bit-vector type of width 32 - Sort bitvector32 = slv.mkBitVectorSort(32); - - // Variables - Term x = slv.mkConst(bitvector32, "x"); - Term a = slv.mkConst(bitvector32, "a"); - Term b = slv.mkConst(bitvector32, "b"); - - // First encode the assumption that x must be equal to a or b - Term x_eq_a = slv.mkTerm(EQUAL, x, a); - Term x_eq_b = slv.mkTerm(EQUAL, x, b); - Term assumption = slv.mkTerm(OR, x_eq_a, x_eq_b); - - // Assert the assumption - slv.assertFormula(assumption); - - // Introduce a new variable for the new value of x after assignment. - Term new_x = slv.mkConst(bitvector32, "new_x"); // x after executing code (0) - Term new_x_ = - slv.mkConst(bitvector32, "new_x_"); // x after executing code (1) or (2) - - // Encoding code (0) - // new_x = x == a ? b : a; - Term ite = slv.mkTerm(ITE, x_eq_a, b, a); - Term assignment0 = slv.mkTerm(EQUAL, new_x, ite); - - // Assert the encoding of code (0) - cout << "Asserting " << assignment0 << " to CVC4 " << endl; - slv.assertFormula(assignment0); - cout << "Pushing a new context." << endl; - slv.push(); - - // Encoding code (1) - // new_x_ = a xor b xor x - Term a_xor_b_xor_x = slv.mkTerm(BITVECTOR_XOR, a, b, x); - Term assignment1 = slv.mkTerm(EQUAL, new_x_, a_xor_b_xor_x); - - // Assert encoding to CVC4 in current context; - cout << "Asserting " << assignment1 << " to CVC4 " << endl; - slv.assertFormula(assignment1); - Term new_x_eq_new_x_ = slv.mkTerm(EQUAL, new_x, new_x_); - - cout << " Check entailment assuming: " << new_x_eq_new_x_ << endl; - cout << " Expect ENTAILED. " << endl; - cout << " CVC4: " << slv.checkEntailed(new_x_eq_new_x_) << endl; - cout << " Popping context. " << endl; - slv.pop(); - - // Encoding code (2) - // new_x_ = a + b - x - Term a_plus_b = slv.mkTerm(BITVECTOR_PLUS, a, b); - Term a_plus_b_minus_x = slv.mkTerm(BITVECTOR_SUB, a_plus_b, x); - Term assignment2 = slv.mkTerm(EQUAL, new_x_, a_plus_b_minus_x); - - // Assert encoding to CVC4 in current context; - cout << "Asserting " << assignment2 << " to CVC4 " << endl; - slv.assertFormula(assignment2); - - cout << " Check entailment assuming: " << new_x_eq_new_x_ << endl; - cout << " Expect ENTAILED. " << endl; - cout << " CVC4: " << slv.checkEntailed(new_x_eq_new_x_) << endl; - - Term x_neq_x = slv.mkTerm(EQUAL, x, x).notTerm(); - std::vector<Term> v{new_x_eq_new_x_, x_neq_x}; - cout << " Check entailment assuming: " << v << endl; - cout << " Expect NOT_ENTAILED. " << endl; - cout << " CVC4: " << slv.checkEntailed(v) << endl; - - // Assert that a is odd - Op extract_op = slv.mkOp(BITVECTOR_EXTRACT, 0, 0); - Term lsb_of_a = slv.mkTerm(extract_op, a); - cout << "Sort of " << lsb_of_a << " is " << lsb_of_a.getSort() << endl; - Term a_odd = slv.mkTerm(EQUAL, lsb_of_a, slv.mkBitVector(1u, 1u)); - cout << "Assert " << a_odd << endl; - cout << "Check satisfiability." << endl; - slv.assertFormula(a_odd); - cout << " Expect sat. " << endl; - cout << " CVC4: " << slv.checkSat() << endl; - return 0; -} |