added a new example for the combination of bit-vectors and arrays (includes model...
authorLiana Hadarean <lianahady@gmail.com>
Sat, 1 Dec 2012 00:37:22 +0000 (00:37 +0000)
committerLiana Hadarean <lianahady@gmail.com>
Sat, 1 Dec 2012 00:37:22 +0000 (00:37 +0000)
examples/api/Makefile.am
examples/api/bitvectors.cpp
examples/api/bitvectors_and_arrays.cpp [new file with mode: 0644]

index 33775fd2a7fbf871c70d93d8c835db2c7eaf04bf..6dba17b05215eb1514da30228e8fc5bb382c5547 100644 (file)
@@ -9,7 +9,8 @@ noinst_PROGRAMS = \
        linear_arith \
        helloworld \
        combination \
-       bitvectors
+       bitvectors \
+       bitvectors_and_arrays
 
 
 noinst_DATA =
@@ -19,6 +20,10 @@ linear_arith_SOURCES = \
 linear_arith_LDADD = \
        @builddir@/../../src/libcvc4.la
 
+bitvectors_and_arrays_SOURCES = \
+       bitvectors_and_arrays.cpp
+bitvectors_and_arrays_LDADD = \
+       @builddir@/../../src/libcvc4.la
 
 combination_SOURCES = \
        combination.cpp
index 364fdb69e2ada14d888c480d3e4817f19331ccea..4701bf8e377b60908b5e1bd6382ddbcd7bfe5f88 100644 (file)
@@ -26,7 +26,8 @@ int main() {
   ExprManager em;
   SmtEngine smt(&em);
   smt.setOption("incremental", true); // Enable incremental solving
-
+  smt.setLogic("QF_BV");              // Set the logic
+  
   // The following example has been adapted from the book A Hacker's Delight by
   // Henry S. Warren.
   //
diff --git a/examples/api/bitvectors_and_arrays.cpp b/examples/api/bitvectors_and_arrays.cpp
new file mode 100644 (file)
index 0000000..cda5e92
--- /dev/null
@@ -0,0 +1,97 @@
+/*********************                                                        */
+/*! \file bitvector.cpp
+ ** \verbatim
+ ** Original author: lianah
+ ** Major contributors: none
+ ** Minor contributors (to current version): none
+ ** This file is part of the CVC4 prototype.
+ ** Copyright (c) 2009, 2010, 2011  The Analysis of Computer Systems Group (ACSys)
+ ** Courant Institute of Mathematical Sciences
+ ** New York University
+ ** 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. 
+ **
+ **/
+
+#include <iostream>
+#include <cmath>
+// #include <cvc4/cvc4.h> // use this after CVC4 is properly installed
+#include "smt/smt_engine.h"
+
+using namespace std;
+using namespace CVC4;
+
+int main() {
+  ExprManager em;
+  SmtEngine smt(&em);
+  smt.setOption("produce-models", true);      // Produce Models
+  smt.setOption("output-language", "smtlib"); // output-language
+  smt.setLogic("QF_AUFBV");                   // Set the logic
+
+  // 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
+  unsigned k = 4;                // number of unrollings (should be a power of 2)
+  unsigned index_size = log2(k); // size of the index 
+    
+
+  // Types
+  Type elementType = em.mkBitVectorType(32);
+  Type indexType = em.mkBitVectorType(index_size); 
+  Type arrayType = em.mkArrayType(indexType, elementType);
+
+  // Variables
+  Expr current_array = em.mkVar("current_array", arrayType);
+
+  // Making a bit-vector constant
+  Expr zero = em.mkConst(BitVector(index_size, 0u));
+
+  // Asserting that current_array[0] > 0
+  Expr current_array0 = em.mkExpr(kind::SELECT, current_array, zero); 
+  Expr current_array0_gt_0 = em.mkExpr(kind::BITVECTOR_SGT, current_array0, em.mkConst(BitVector(32, 0u)));
+  smt.assertFormula(current_array0_gt_0);
+
+  // Building the assertions in the loop unrolling 
+  Expr index = em.mkConst(BitVector(index_size, 0u)); 
+  Expr old_current = em.mkExpr(kind::SELECT, current_array, index);
+  Expr two = em.mkConst(BitVector(32, 2u)); 
+  
+  std::vector<Expr> assertions; 
+  for (unsigned i = 1; i < k; ++i) {
+    index = em.mkConst(BitVector(index_size, Integer(i)));
+    Expr new_current = em.mkExpr(kind::BITVECTOR_MULT, two, old_current);
+    // current[i] = 2 * current[i-1] 
+    current_array = em.mkExpr(kind::STORE, current_array, index, new_current);
+    // current[i-1] < current [i]
+    Expr current_slt_new_current = em.mkExpr(kind::BITVECTOR_SLT, old_current, new_current); 
+    assertions.push_back(current_slt_new_current);
+  
+    old_current = em.mkExpr(kind::SELECT, current_array, index);
+  }
+
+  Expr query = em.mkExpr(kind::NOT, em.mkExpr(kind::AND, assertions));
+  
+  cout << "Asserting " << query << " to CVC4 " << endl; 
+  smt.assertFormula(query);
+  cout << "Expect sat. " << endl;
+  cout << "CVC4: " << smt.checkSat(em.mkConst(true)) << endl;
+
+  // Getting the model 
+  cout << "The satisfying model is: " << endl;
+  cout << "  current_array = " << smt.getValue(current_array) << endl; 
+  cout << "  current_array[0] = " << smt.getValue(current_array0) << endl;   
+  return 0;
+}