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99 lines
3.3 KiB
C++
99 lines
3.3 KiB
C++
/******************************************************************************
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* Top contributors (to current version):
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* Aina Niemetz, Liana Hadarean, Mathias Preiner
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*
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* This file is part of the cvc5 project.
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*
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* Copyright (c) 2009-2024 by the authors listed in the file AUTHORS
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* in the top-level source directory and their institutional affiliations.
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* All rights reserved. See the file COPYING in the top-level source
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* directory for licensing information.
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* ****************************************************************************
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*
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* A simple demonstration of the solving capabilities of the cvc5
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* bit-vector and array solvers.
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*
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*/
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#include <cvc5/cvc5.h>
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#include <iostream>
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using namespace std;
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using namespace cvc5;
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int main()
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{
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TermManager tm;
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Solver slv(tm);
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slv.setOption("produce-models", "true"); // Produce Models
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slv.setLogic("QF_ABV"); // Set the logic
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// Consider the following code (where size is some previously defined constant):
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//
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//
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// Assert (current_array[0] > 0);
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// for (unsigned i = 1; i < k; ++i) {
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// current_array[i] = 2 * current_array[i - 1];
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// Assert (current_array[i-1] < current_array[i]);
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// }
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//
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// We want to check whether the assertion in the body of the for loop holds
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// throughout the loop.
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// Setting up the problem parameters
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uint32_t k = 4; // number of unrollings (should be a power of 2)
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uint32_t index_size = 2; // size of the index, must be log2(k)
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// Sorts
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Sort elementSort = tm.mkBitVectorSort(32);
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Sort indexSort = tm.mkBitVectorSort(index_size);
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Sort arraySort = tm.mkArraySort(indexSort, elementSort);
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// Variables
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Term current_array = tm.mkConst(arraySort, "current_array");
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// Making a bit-vector constant
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Term zero = tm.mkBitVector(index_size, 0u);
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// Asserting that current_array[0] > 0
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Term current_array0 = tm.mkTerm(Kind::SELECT, {current_array, zero});
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Term current_array0_gt_0 = tm.mkTerm(
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Kind::BITVECTOR_SGT, {current_array0, tm.mkBitVector(32, 0u)});
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slv.assertFormula(current_array0_gt_0);
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// Building the assertions in the loop unrolling
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Term index = tm.mkBitVector(index_size, 0u);
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Term old_current = tm.mkTerm(Kind::SELECT, {current_array, index});
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Term two = tm.mkBitVector(32, 2u);
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std::vector<Term> assertions;
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for (uint32_t i = 1; i < k; ++i)
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{
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index = tm.mkBitVector(index_size, i);
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Term new_current = tm.mkTerm(Kind::BITVECTOR_MULT, {two, old_current});
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// current[i] = 2 * current[i-1]
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current_array =
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tm.mkTerm(Kind::STORE, {current_array, index, new_current});
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// current[i-1] < current [i]
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Term current_slt_new_current =
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tm.mkTerm(Kind::BITVECTOR_SLT, {old_current, new_current});
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assertions.push_back(current_slt_new_current);
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old_current = tm.mkTerm(Kind::SELECT, {current_array, index});
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}
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Term query = tm.mkTerm(Kind::NOT, {tm.mkTerm(Kind::AND, assertions)});
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cout << "Asserting " << query << " to cvc5" << endl;
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slv.assertFormula(query);
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cout << "Expect sat." << endl;
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cout << "cvc5: " << slv.checkSat() << endl;
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// Getting the model
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cout << "The satisfying model is:" << endl;
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cout << " current_array = " << slv.getValue(current_array) << endl;
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cout << " current_array[0] = " << slv.getValue(current_array0) << endl;
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return 0;
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}
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