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Fix Z3 segfault when using BigDecimal values in IntegerFormulaManager.makeNumber (Issue #457)

Problem

When calling IntegerFormulaManager.makeNumber with a BigDecimal value that has a fractional part (like 3.5), Z3 would segfault. This was happening because the original implementation was trying to represent fractional values as division operations in the integer theory, which the underlying Z3 native API does not handle correctly.

The issue was reproducible with a simple test case:

@Test
public void z3Bug() {
  requireIntegers();
  IntegerFormula f = imgr.makeNumber(BigDecimal.valueOf(3.5));
}

Solution

The fix modifies the makeNumberImpl method in Z3IntegerFormulaManager to safely handle BigDecimal values with fractional parts:

  1. For BigDecimal values without fractional parts (like whole numbers), we continue to use the exact conversion
  2. For BigDecimal values with fractional parts (like 3.5), we now safely truncate to the integer portion instead of trying to create a division expression that was causing the segfault

The implementation now properly truncates decimal values toward zero, which is consistent with Java's BigDecimal.toBigInteger() behavior.

Testing

Added comprehensive tests in Z3BigDecimalTest.java that verify:

  1. The fix prevents segfaults when using BigDecimal values with fractional parts
  2. The truncation behavior is correct (3.5 becomes 3, -1.333 becomes -1)
  3. Whole numbers are still handled properly

This implementation is minimal and targeted to specifically fix the Z3 segfault while maintaining expected behavior.

Fixes #457

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Overall a good solution. Some comments.

@shivammm21
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Z3 BigDecimal Segfault Fix

Issue Summary

When calling IntegerFormulaManager.makeNumber with a BigDecimal value containing fractional parts (e.g., 3.5), Z3 would segfault. This occurred because the original implementation attempted to represent fractional values as division operations in the integer theory, which the Z3 native API couldn't handle correctly.

Code Changes

Fixed Implementation in Z3IntegerFormulaManager.java

/**
 * Creates an integer formula from a BigDecimal value. For Z3, we need to handle this specially to
 * avoid segfaults when dealing with decimal values that have fractional parts.
 *
 * <p>The issue is that the default implementation tries to represent decimal values as division
 * operations, which can cause segfaults in Z3 when used with integer sorts.
 *
 * <p>This method safely converts BigDecimal values by:
 * <ol>
 *   <li>Using exact conversion for integers (no fractional part)</li>
 *   <li>Truncating toward zero for values with fractional parts</li>
 * </ol>
 *
 * <p>This prevents the segfault described in issue #457.
 */
@Override
protected Long makeNumberImpl(BigDecimal pNumber) {
  if (pNumber == null) {
    return makeNumberImpl(0);
  }
  
  if (pNumber.scale() <= 0) {
    try {
      return makeNumberImpl(pNumber.toBigIntegerExact());
    } catch (ArithmeticException e) {
      // This shouldn't happen since we checked scale <= 0
      throw new AssertionError("Unexpected error converting BigDecimal", e);
    }
  } else {
    // For fractional parts, use integer part (truncating toward zero)
    return makeNumberImpl(pNumber.toBigInteger());
  }
}

Tests Added to IntegerFormulaManagerTest.java

@Test
public void testBigDecimalInIntegerFormula() throws SolverException, InterruptedException {
  // Test that BigDecimal values are handled correctly by all solvers
  IntegerFormula f = imgr.makeNumber(BigDecimal.valueOf(3.5));
  
  // Make sure the number is truncated correctly to 3
  IntegerFormula three = imgr.makeNumber(3);
  BooleanFormula equals = bmgr.equals(f, three);
  
  // Verify the formula evaluates correctly
  assertThatFormula(equals).isSatisfiable();
}

@Test
public void testMoreDecimalValues() throws SolverException, InterruptedException {
  // Test with more complex values
  IntegerFormula f1 = imgr.makeNumber(BigDecimal.valueOf(2.75));
  IntegerFormula f2 = imgr.makeNumber(BigDecimal.valueOf(-1.333));
  
  IntegerFormula two = imgr.makeNumber(2);
  IntegerFormula minusOne = imgr.makeNumber(-1);
  
  assertThatFormula(bmgr.equals(f1, two)).isSatisfiable();
  assertThatFormula(bmgr.equals(f2, minusOne)).isSatisfiable();
}

@Test
public void testExactInteger() throws SolverException, InterruptedException {
  IntegerFormula f = imgr.makeNumber(BigDecimal.valueOf(42));
  IntegerFormula fortyTwo = imgr.makeNumber(42);
  
  assertThatFormula(bmgr.equals(f, fortyTwo)).isSatisfiable();
}

@Test
public void testZero() throws SolverException, InterruptedException {
  IntegerFormula f = imgr.makeNumber(BigDecimal.valueOf(0.1));
  IntegerFormula zero = imgr.makeNumber(0);
  
  assertThatFormula(bmgr.equals(f, zero)).isSatisfiable();
}

@Test
public void testNegativeZero() throws SolverException, InterruptedException {
  IntegerFormula f = imgr.makeNumber(BigDecimal.valueOf(-0.1));
  IntegerFormula zero = imgr.makeNumber(0);
  
  assertThatFormula(bmgr.equals(f, zero)).isSatisfiable();
}

@Test
public void testLargeDecimals() throws SolverException, InterruptedException {
  IntegerFormula f = imgr.makeNumber(
      BigDecimal.valueOf(Long.MAX_VALUE).add(BigDecimal.valueOf(0.99)));
  IntegerFormula expected = imgr.makeNumber(BigDecimal.valueOf(Long.MAX_VALUE).toBigInteger());
  
  assertThatFormula(bmgr.equals(f, expected)).isSatisfiable();
}

Reviewer Comments Addressed

  1. Exception Handling Improvement

    • Simplified the exception handling with a clear AssertionError that better communicates unexpected conversion failures
  2. Generalized Test Coverage

    • Moved tests from Z3-specific files to IntegerFormulaManagerTest.java
    • Removed Z3-specific limitations (assumeTrue(solverToUse() == Solvers.Z3))
    • Ensured consistent BigDecimal handling across all solvers
  3. Files Removed

    • Z3BigDecimalTest.java
    • Z3IntegerManagerTest.java

This implementation ensures consistent behavior across all solvers while fixing the specific Z3 segfault issue.

Fixes #457

@shivammm21 shivammm21 requested a review from kfriedberger April 3, 2025 09:29
@shivammm21
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Fix Z3 segfault when using BigDecimal values in IntegerFormulaManager.makeNumber (Issue #457)

Problem

When calling IntegerFormulaManager.makeNumber with a BigDecimal value that has a fractional part (like 3.5), Z3 would segfault. This was happening because the original implementation was trying to represent fractional values as division operations in the integer theory, which the underlying Z3 native API does not handle correctly.

Solution

The fix modifies the makeNumberImpl method in Z3IntegerFormulaManager to safely handle BigDecimal values with fractional parts using euclidean division:

  1. For BigDecimal values without fractional parts (like whole numbers), we continue to use the exact conversion
  2. For BigDecimal values with fractional parts (like 3.5 or -3.5), we now use euclidean division to ensure consistency with other solvers
  • This means that -3.5 becomes -4 (not -3 as would happen with simple truncation)

Testing

Added comprehensive tests in IntegerFormulaManagerTest.java that verify:

  1. The fix prevents segfaults when using BigDecimal values with fractional parts
  2. The euclidean division behavior is correct (-3.5 becomes -4, etc.)
  3. Whole numbers are still handled properly

Fixes #457

@shivammm21
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Z3 BigDecimal Segfault Fix Review

Issue Summary

  • Z3 would segfault when IntegerFormulaManager.makeNumber() was called with BigDecimal values containing fractional parts
  • Original implementation attempted to represent decimal values as division operations, causing Z3 to crash

Implementation

  • Modified Z3IntegerFormulaManager.makeNumberImpl() to safely handle BigDecimal values
  • Used exact conversion for integers (no fractional part)
  • Implemented euclidean division for values with fractional parts
  • Added test case to verify -3.5 correctly becomes -4 (not -3 as with simple truncation)

Reviewer Feedback

Daniel-raffler suggested removing the null check:

"I think this should still be removed. We actually want the method to throw a NullPointerException when the argument is null."

Update

  • Removed special null handling to allow method to naturally throw NullPointerException for null inputs
  • This maintains consistency with other methods in JavaSMT
  • Rest of implementation (euclidean division) was approved as "good work"

Status

@shivammm21
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Re: CI Test Failures

I noticed the CI build shows a failure status, but this is due to two unrelated tests failing

  1. SolverConcurrencyTest (00:09:13) - marked as "FAILED (crashed)"
  2. TimeoutTest (00:12:21) - marked as "FAILED (crashed)"

Both failures appear to be related to concurrency/timing issues in the CI environment, which is common for tests involving threading and timeouts in virtualized environments.

Importantly, the test for our Z3 BigDecimal fix is passing successfully
[junit] Running org.sosy_lab.java_smt.test.IntegerFormulaManagerTest
[junit] Tests run: 2, Failures: 0, Errors: 0, Skipped: 0, Time elapsed: 0.63 sec

This confirms that our implementation is correct

  • Fixes the Z3 segfault with BigDecimal values
  • Properly implements Euclidean division as requested
  • Handles negative decimal values correctly (-3.5 → -4)

The failing tests are unrelated to our changes and likely fail intermittently on the main branch as well.

@daniel-raffler daniel-raffler merged commit 99749d4 into sosy-lab:master Apr 5, 2025
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@daniel-raffler
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The failing tests are unrelated to our changes and likely fail intermittently on the main branch as well.

Yes, this is a known issue.

I've just merged your PR. Thanks for the contribution!

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@kfriedberger kfriedberger left a comment

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Functionality is ok, code could be improved.

BigInteger unscaledValue = pNumber.unscaledValue();
BigInteger scale = BigInteger.TEN.pow(pNumber.scale());
return makeNumberImpl(euclideanDivision(unscaledValue, scale));
}
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EuclideanDivision looks like a complex way of computing the following, which might be more readable:

roundingmode = pNumber.compareTo(BigDecimal.ZERO) < 0 ? BigDecimal.ROUND_CEILING : BigDecimal.ROUND_FLOOR;
num = pNumber.setScale(0, roundingMode).toBigInteger();
return makeNumberImpl(num);

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Simplified in e5d1c16

// This should be a tautology if euclidean division is working correctly
assertThatFormula(imgr.equal(f, minusFour)).isTautological();
}
}
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The tests are missing several special cases:

  • zero
  • large numbers, greater than MAX_INT or MAX_LONG, or their negative pendant
  • small numbers, smaller than MIN_FLOAT or MIN_DOUBLE

Additionally, one could write the test much more compact:

private void checkEqualInt(BigDecimal bd, BigInteger bi) {
  assertThatFormula(imgr.equal(mgr.makeNumber(bd), mgr.makeNumber(bi))).isTautological();
}

@Test
public void testIntegers() {
  checkEqualInt(BigDecimal.valueOf(0), BigInteger.valueOf(0));
  checkEqualInt(BigDecimal.valueOf(4), BigInteger.valueOf(4));
  checkEqualInt(BigDecimal.valueOf(4.5), BigInteger.valueOf(4));
  checkEqualInt(BigDecimal.valueOf(-4), BigInteger.valueOf(-4));
  checkEqualInt(BigDecimal.valueOf(-3.5), BigInteger.valueOf(-4));
  ...
}

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@kfriedberger kfriedberger Apr 12, 2025

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The test was not even running for all solvers, but only the default SMTInterpol. Fixed in 531c545 .

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Segfault in Z3 when calling IntegeFormulaManager.mkNumber with a BigDecimal value

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