protected void integrateTransforms(float timeStep) {
    Vector3f tmp = Stack.alloc(Vector3f.class);
    Transform tmpTrans = Stack.alloc(Transform.class);

    Transform predictedTrans = Stack.alloc(Transform.class);
    for (int i = 0; i < collisionObjects.size(); i++) {
      CollisionObject colObj = collisionObjects.getQuick(i);
      RigidBody body = RigidBody.upcast(colObj);
      if (body != null) {
        body.setHitFraction(1f);

        if (body.isActive() && (!body.isStaticOrKinematicObject())) {
          body.predictIntegratedTransform(timeStep, predictedTrans);

          tmp.sub(predictedTrans.origin, body.getWorldTransform(tmpTrans).origin);
          float squareMotion = tmp.lengthSquared();

          if (body.getCcdSquareMotionThreshold() != 0f
              && body.getCcdSquareMotionThreshold() < squareMotion) {
            if (body.getCollisionShape().isConvex()) {
              ClosestNotMeConvexResultCallback sweepResults =
                  new ClosestNotMeConvexResultCallback(
                      body,
                      body.getWorldTransform(tmpTrans).origin,
                      predictedTrans.origin,
                      getBroadphase().getOverlappingPairCache(),
                      getDispatcher());
              // ConvexShape convexShape = (ConvexShape)body.getCollisionShape();
              SphereShape tmpSphere =
                  new SphereShape(
                      body
                          .getCcdSweptSphereRadius()); // btConvexShape* convexShape =
                                                       // static_cast<btConvexShape*>(body->getCollisionShape());

              sweepResults.collisionFilterGroup = body.getBroadphaseProxy().collisionFilterGroup;
              sweepResults.collisionFilterMask = body.getBroadphaseProxy().collisionFilterMask;

              convexSweepTest(
                  tmpSphere, body.getWorldTransform(tmpTrans), predictedTrans, sweepResults);
              // JAVA NOTE: added closestHitFraction test to prevent objects being stuck
              if (sweepResults.hasHit() && (sweepResults.closestHitFraction > 0.0001f)) {
                body.setHitFraction(sweepResults.closestHitFraction);
                body.predictIntegratedTransform(timeStep * body.getHitFraction(), predictedTrans);
                body.setHitFraction(0f);
                // System.out.printf("clamped integration to hit fraction = %f\n",
                // sweepResults.closestHitFraction);
              }
            }
          }

          body.proceedToTransform(predictedTrans);
        }
      }
    }
  }