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+#!/usr/bin/env python
+
+#####################
+#! \file bitvectors_and_arrays.py
+ ## \verbatim
+ ## Top contributors (to current version):
+ ## Makai Mann
+ ## This file is part of the CVC4 project.
+ ## Copyright (c) 2009-2018 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 and array solvers through the Python API. This is a direct
+ ## translation of bitvectors_and_arrays-new.cpp.
+import pycvc4
+from pycvc4 import kinds
+
+import math
+
+if __name__ == "__main__":
+ slv = pycvc4.Solver()
+ slv.setOption("produce-models", "true")
+ slv.setOption("output-language", "smtlib")
+ slv.setLogic("QF_AUFBV")
+
+ # Consider the following code (where size is some previously defined constant):
+ #
+ #
+ # Assert (current_array[0] > 0);
+ # for (unsigned i = 1; i < k; ++i) {
+ # current_array[i] = 2 * current_array[i - 1];
+ # Assert (current_array[i-1] < current_array[i]);
+ # }
+ #
+ # We want to check whether the assertion in the body of the for loop holds
+ # throughout the loop.
+
+ # Setting up the problem parameters
+ k = 4
+ index_size = int(math.ceil(math.log(k, 2)))
+
+ # Sorts
+ elementSort = slv.mkBitVectorSort(32)
+ indexSort = slv.mkBitVectorSort(index_size)
+ arraySort = slv.mkArraySort(indexSort, elementSort)
+
+ # Variables
+ current_array = slv.mkConst(arraySort, "current_array")
+
+ # Making a bit-vector constant
+ zero = slv.mkBitVector(index_size, 0)
+
+ # Test making a constant array
+ constarr0 = slv.mkConstArray(arraySort, slv.mkBitVector(32, 0))
+
+ # Asserting that current_array[0] > 0
+ current_array0 = slv.mkTerm(kinds.Select, current_array, zero)
+ current_array0_gt_0 = slv.mkTerm(kinds.BVSgt,
+ current_array0,
+ slv.mkBitVector(32, 0))
+ slv.assertFormula(current_array0_gt_0)
+
+ # Building the assertions in the loop unrolling
+ index = slv.mkBitVector(index_size, 0)
+ old_current = slv.mkTerm(kinds.Select, current_array, index)
+ two = slv.mkBitVector(32, 2)
+
+ assertions = []
+ for i in range(1, k):
+ index = slv.mkBitVector(index_size, i)
+ new_current = slv.mkTerm(kinds.BVMult, two, old_current)
+ # current[i] = 2*current[i-1]
+ current_array = slv.mkTerm(kinds.Store, current_array, index, new_current)
+ # current[i-1] < current[i]
+ current_slt_new_current = slv.mkTerm(kinds.BVSlt, old_current, new_current)
+ assertions.append(current_slt_new_current)
+ old_current = slv.mkTerm(kinds.Select, current_array, index)
+
+ query = slv.mkTerm(kinds.Not, slv.mkTerm(kinds.And, assertions))
+
+ print("Asserting {} to CVC4".format(query))
+ slv.assertFormula(query)
+ print("Expect sat.")
+ print("CVC4:", slv.checkSatAssuming(slv.mkTrue()))
+
+ # Getting the model
+ print("The satisfying model is: ")
+ print(" current_array =", slv.getValue(current_array))
+ print(" current_array[0]", slv.getValue(current_array0))
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