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FPA API: bugfixes and examples for .NET and Java

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Signed-off-by: Christoph M. Wintersteiger <cwinter@microsoft.com>
This commit is contained in:
Christoph M. Wintersteiger 2015-01-03 17:26:58 +00:00
parent fa26e2423e
commit 0faf329054
5 changed files with 165 additions and 48 deletions
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84
examples/java/JavaExample.java
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@ -1095,7 +1095,7 @@ class JavaExample
// / Shows how to use Solver(logic)
// / <param name="ctx"></param>
// / @param ctx
void logicExample(Context ctx) throws Z3Exception, TestFailedException
{
System.out.println("LogicTest");
@ -2157,6 +2157,86 @@ class JavaExample
// System.out.println(ctx.mkEq(s1, t1));
}
public void floatingPointExample1(Context ctx) throws Z3Exception, TestFailedException
{
System.out.println("FloatingPointExample1");
Log.append("FloatingPointExample1");
FPSort s = ctx.mkFPSort(11, 53);
System.out.println("Sort: " + s);
FPNum x = (FPNum)ctx.mkNumeral("-1e1", s); /* -1 * 10^1 = -10 */
FPNum y = (FPNum)ctx.mkNumeral("-10", s); /* -10 */
FPNum z = (FPNum)ctx.mkNumeral("-1.25p3", s); /* -1.25 * 2^3 = -1.25 * 8 = -10 */
System.out.println("x=" + x.toString() +
"; y=" + y.toString() +
"; z=" + z.toString());
BoolExpr a = ctx.mkAnd(ctx.mkFPEq(x, y), ctx.mkFPEq(y, z));
check(ctx, ctx.mkNot(a), Status.UNSATISFIABLE);
/* nothing is equal to NaN according to floating-point
* equality, so NaN == k should be unsatisfiable. */
FPExpr k = (FPExpr)ctx.mkConst("x", s);
FPExpr nan = ctx.mkFPNaN(s);
/* solver that runs the default tactic for QF_FP. */
Solver slvr = ctx.mkSolver("QF_FP");
slvr.add(ctx.mkFPEq(nan, k));
if (slvr.check() != Status.UNSATISFIABLE)
throw new TestFailedException();
System.out.println("OK, unsat:" + System.getProperty("line.separator") + slvr);
/* NaN is equal to NaN according to normal equality. */
slvr = ctx.mkSolver("QF_FP");
slvr.add(ctx.mkEq(nan, nan));
if (slvr.check() != Status.SATISFIABLE)
throw new TestFailedException();
System.out.println("OK, sat:" + System.getProperty("line.separator") + slvr);
/* Let's prove -1e1 * -1.25e3 == +100 */
x = (FPNum)ctx.mkNumeral("-1e1", s);
y = (FPNum)ctx.mkNumeral("-1.25p3", s);
FPExpr x_plus_y = (FPExpr)ctx.mkConst("x_plus_y", s);
FPNum r = (FPNum)ctx.mkNumeral("100", s);
slvr = ctx.mkSolver("QF_FP");
slvr.add(ctx.mkEq(x_plus_y, ctx.mkFPMul(ctx.mkFPRoundNearestTiesToAway(), x, y)));
slvr.add(ctx.mkNot(ctx.mkFPEq(x_plus_y, r)));
if (slvr.check() != Status.UNSATISFIABLE)
throw new TestFailedException();
System.out.println("OK, unsat:" + System.getProperty("line.separator") + slvr);
}
public void floatingPointExample2(Context ctx) throws Z3Exception, TestFailedException
{
System.out.println("FloatingPointExample2");
Log.append("FloatingPointExample2");
FPSort double_sort = ctx.mkFPSort(11, 53);
FPRMSort rm_sort = ctx.mkFPRoundingModeSort();
FPRMExpr rm = (FPRMExpr)ctx.mkConst(ctx.mkSymbol("rm"), rm_sort);
BitVecExpr x = (BitVecExpr)ctx.mkConst(ctx.mkSymbol("x"), ctx.mkBitVecSort(64));
RealExpr real_val = ctx.mkReal(42);
FPExpr fp_val = ctx.mkFP(42, double_sort);
BoolExpr c1 = ctx.mkEq(x, ctx.mkFPToIEEEBV(fp_val));
BoolExpr c2 = ctx.mkEq(x, ctx.mkBV(42, 64));
BoolExpr c3 = ctx.mkEq(fp_val, ctx.mkFPToFP(rm, real_val, double_sort));
BoolExpr c4 = ctx.mkAnd(c1, c2);
System.out.println("c3 = " + c3);
/* Generic solver */
Solver s = ctx.mkSolver();
s.add(c3);
if (s.check() != Status.SATISFIABLE)
throw new TestFailedException();
System.out.println("OK, model: " + s.getModel().toString());
}
public static void main(String[] args)
{
JavaExample p = new JavaExample();
@ -2200,6 +2280,8 @@ class JavaExample
p.findSmallModelExample(ctx);
p.simplifierExample(ctx);
p.finiteDomainExample(ctx);
p.floatingPointExample1(ctx);
p.floatingPointExample2(ctx);
}
{ // These examples need proof generation turned on.