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First, notice that the parallel version of the initialization loop ran about three times slower than the sequential version This is because (in this case) assignment takes so little time that the overhead added by parallelism exceeds the gains Now, notice that the parallel

Part II:

transform loop ran faster than its sequential equivalent In this case, the gains of parallelization more than offset the overhead added by parallelization

loops make the best use of parallelization You will also want to confirm that you are actually getting performance gains before using a parallel loop in released application code There are a couple of other things to mention about the preceding program First, notice that the parallel initialization loop uses a lambda expression to initialize data It is shown here:

u + C;

ParallelFor(0, dataLength, (i) => data[i] = i );

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Here, the body of the loop is specified by a lambda expression (Again, recall that a lambda expression creates an anonymous method) Thus, there is no requirement that For( ) be used with a named method The second point of interest is the use of the Stopwatch class to handle the loop timing This class is in SystemDiagnostics To use Stopwatch, create an instance and then call Start( ) to begin timing and Stop( ) to end timing Use Reset( ) to reset the stopwatch There are various ways to obtain the duration The approach used by the program is the Elapsed property, which returns a TimeSpan object Using the TimeSpan object, the seconds (including fractional seconds) are displayed by use of the TotalSeconds property As this program shows, Stopwatch is very useful when developing parallel code As mentioned, the For( ) method returns an instance of ParallelLoopResult This is a structure that defines the following two properties: public bool IsCompleted { get; } public Nullable<long> LowestBreakIteration { get; } IsCompleted will be true if the loop completed all requested iterations In other words, it is true if the loop ran normally It will be false if the loop was terminated early LowestBreakIteration contains the lowest value of the loop control variable if the loop was terminated early via a call to ParallelLoopStateBreak( ) To have access to a ParallelLoopState object, you must use a form of For( ) whose delegate takes a second parameter that receives the current loop state Here is the simplest one: public static ParallelLoopResult For(int fromInclusive, int toExclusive, Action<int, ParallelLoopState> body) In this version, the Action delegate that describes the body of the loop is defined like this: public delegate void Action<in T1, in T2>(T arg1, T2 arg2) For use with the For( ), T1 must be int and T2 must be ParallelLoopState Each time this delegate is called, the current loop state is passed to arg2 To stop a loop early, call Break( ) on the ParallelLoopState instance inside body Break( ) is defined as shown here: public void Break( ).

du 1 du = Tan u + C 2 1+u The important lesson here is that, while the integrands involve only polynomials and roots, the antiderivatives involve inverse trigonometric functions

24:

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