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Note, however, that we are using the modulus operator on the spline index values because, if they exceed the array length, they loop back to the beginning This operation allows us to implement our closed loop (requiring the first three points to be repeated) without actually having to repeat them in the array: they are simply reused from the beginning when the end of the array is reached With the ability to calculate the plane position in hand, we can now set the plane s position and smoothly move it along the path This is a good start, but there is a very obvious visual problem when it is put in motion: the plane is always facing the same direction It should, of course, always be facing in the direction that it is moving (paper planes as a rule don t fly sideways very well).

Correlated subqueries do not necessarily have to occur in the SELECT clause of the outer query, as in Listing 7-43. They may also appear in the WHERE clause of the outer query. If the WHERE clause of the subquery contains a reference to a table in the outer query, it is correlated. Here s one more example of using a correlated scalar subquery to accomplish what is not possible to do with a simple outer join without a subquery. Imagine the following request: Retrieve all products having a unit price that is less than the smallest sold price for the same product in any customer s order. Subqueries are required in order to fulfill this request. One possible solution is presented in Listing 7-47. Listing 7-47. Example of a Correlated Scalar Subquery SELECT p.name FROM Product p WHERE p.unit_price < ( SELECT MIN(price) FROM CustomerOrderItem WHERE product_id = p.product_id );

The processing of an MTL file is handled by a Materials object. readMaterials() parses the MTL file line by line, adding Material objects to a materials ArrayList: // global public ArrayList<Material> materials; // stores the Material objects built from the MTL file data

Fortunately it is very easy to make the plane look in the direction that it is flying The first thing we need to do is calculate another position for the plane just a little farther along the path We do this by calling GetPlanePosition a second time, this time adding 01 to the spline weight This addition is the reason that GetPlanePosition checks whether the weight has exceeded 10 because this second call might cause this overflow to occur The second call allows us to see where the plane is now and where it will be in a second The direction of the plane must be from the first of these points to the second because it is its path of movement We therefore need a way to rotate the plane so that it is facing from the first position toward the second.

We ve already seen a couple examples of subqueries that return a single column of data for one or more rows in a table. Often, these types of queries can be more efficiently rewritten as a joined set, but columnar subqueries support a syntax that you may find more appealing than complex outer joins. For example, Listing 7-48 shows an example of a columnar subquery used in a WHERE condition. Listing 7-49 shows the same query converted to an inner join. Both queries show customers who have placed completed orders. Listing 7-48. Example of a Columnar Subquery mysql> SELECT c.first_name, c.last_name -> FROM Customer c -> WHERE c.customer_id IN ( -> SELECT customer_id -> FROM CustomerOrder co -> WHERE co.status = 'CM' -> ); +------------+-----------+ | first_name | last_name | +------------+-----------+ | John | Doe | +------------+-----------+ 1 row in set (0.00 sec)

This rotation can be achieved using another of the very handy static Matrix functions: CreateWorld The CreateWorld function creates a world matrix (which is ultimately what we are trying to do in each object s Update method) so that it is positioned at a particular location and facing in a particular direction This is just what we need: the position is the first spline point we have calculated, and the direction is from there toward the second spline point The direction itself is calculated simply by subtracting the current position from the next position The resulting vector is ready to be passed to CreateWorld Only one minor problem remains: the plane is now continuously flying sideways because it has been defined sideways within the SketchUp model To correct this, we simply rotate it by 90 degrees after the matrix has been calculated.