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authorPat Hawks <pat@pathawks.com>2017-08-24 17:31:09 -0500
committerPat Hawks <pat@pathawks.com>2017-08-24 17:32:56 -0500
commit96b4329d58e7d13982e9fdcf458ab98ad0b6c07a (patch)
tree5db222f7375dad008138069abf21b82c81fc07c6 /test/java/BitVectors.java
parent27f0116e05c7448c14ba2527d1269806d32dd923 (diff)
Test Java API on CI
Diffstat (limited to 'test/java/BitVectors.java')
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1 files changed, 100 insertions, 0 deletions
diff --git a/test/java/BitVectors.java b/test/java/BitVectors.java
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+import static org.junit.Assert.assertEquals;
+import org.junit.Before;
+import org.junit.Test;
+
+import edu.nyu.acsys.CVC4.*;
+
+public class BitVectors {
+ static {
+ System.loadLibrary("cvc4jni");
+ }
+ ExprManager em;
+ SmtEngine smt;
+
+ @Before
+ public void initialize() {
+ em = new ExprManager();
+ smt = new SmtEngine(em);
+ }
+
+ @Test
+ public void evaluatesExpression() {
+ Result.Validity expect, actual;
+ smt.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
+ Type bitvector32 = em.mkBitVectorType(32);
+
+ // Variables
+ Expr x = em.mkVar("x", bitvector32);
+ Expr a = em.mkVar("a", bitvector32);
+ Expr b = em.mkVar("b", bitvector32);
+
+ // First encode the assumption that x must be equal to a or b
+ Expr x_eq_a = em.mkExpr(Kind.EQUAL, x, a);
+ Expr x_eq_b = em.mkExpr(Kind.EQUAL, x, b);
+ Expr assumption = em.mkExpr(Kind.OR, x_eq_a, x_eq_b);
+
+ // Assert the assumption
+ smt.assertFormula(assumption);
+
+ // Introduce a new variable for the new value of x after assignment.
+ Expr new_x = em.mkVar("new_x", bitvector32); // x after executing code (0)
+ Expr new_x_ = em.mkVar("new_x_", bitvector32); // x after executing code (1) or (2)
+
+ // Encoding code (0)
+ // new_x = x == a ? b : a;
+ Expr ite = em.mkExpr(Kind.ITE, x_eq_a, b, a);
+ Expr assignment0 = em.mkExpr(Kind.EQUAL, new_x, ite);
+
+ // Assert the encoding of code (0)
+ smt.assertFormula(assignment0);
+ smt.push();
+
+ // Encoding code (1)
+ // new_x_ = a xor b xor x
+ Expr a_xor_b_xor_x = em.mkExpr(Kind.BITVECTOR_XOR, a, b, x);
+ Expr assignment1 = em.mkExpr(Kind.EQUAL, new_x_, a_xor_b_xor_x);
+
+ // Assert encoding to CVC4 in current context;
+ smt.assertFormula(assignment1);
+ Expr new_x_eq_new_x_ = em.mkExpr(Kind.EQUAL, new_x, new_x_);
+
+ expect = Result.Validity.VALID;
+ actual = smt.query(new_x_eq_new_x_).isValid();
+ assertEquals(expect, actual);
+ smt.pop();
+
+ // Encoding code (2)
+ // new_x_ = a + b - x
+ Expr a_plus_b = em.mkExpr(Kind.BITVECTOR_PLUS, a, b);
+ Expr a_plus_b_minus_x = em.mkExpr(Kind.BITVECTOR_SUB, a_plus_b, x);
+ Expr assignment2 = em.mkExpr(Kind.EQUAL, new_x_, a_plus_b_minus_x);
+
+ // Assert encoding to CVC4 in current context;
+ smt.assertFormula(assignment2);
+
+ expect = Result.Validity.VALID;
+ actual = smt.query(new_x_eq_new_x_).isValid();
+ assertEquals(expect, actual);
+ }
+}
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