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Although the preceding code used a named method as the delegate that represented the body of the loop, sometimes it is more convenient to use an anonymous method For example, here the body of the ForEach( ) loop is implemented as a lambda expression:

the reciprocal, we see that secant takes all values greater than or equal to 1 and all values less than or equal to 1 The inverse function is Sec

// Use a parallel ForEach() loop to display the data ParallelLoopResult loopResult = ParallelForEach(data, (v, pls) => { ConsoleWriteLine("Value: " + v); if(v < 0) plsBreak(); });

PLINQ is the parallel version of LINQ, and it is closely related to the TPL A primary use of PLINQ is to achieve data parallelism within a query As you will see, this is very easy to do Like the TPL, PLINQ is a large topic with many facets This chapter introduces the basic concepts

At the foundation of PLINQ is the ParallelEnumerable class, which is defined in SystemLinq This is a static class that defines many extension methods that support parallel operations It is, essentially, the parallel version of the standard LINQ class Enumerable Many of the methods extend ParallelQuery Others return ParallelQuery ParallelQuery encapsulates a sequence that supports parallel operations Both generic and non-generic versions are supported We won t be working with ParallelQuery directly, but we will be making use of several ParallelEnumerable methods The most important of these is AsParallel( ), described in the following section

: ( , 1] [1, ) [0, /2) ( /2, ]

Parallelizing a Query with AsParallel( )

Perhaps the single most convenient feature of PLINQ is how easy it is to create a parallel query To do this, you simply call AsParallel( ) on the data source AsParallel( ) is defined by ParallelEnumerable, and it returns the data source encapsulated within a ParallelQuery instance This enables it to support parallel query extension methods Once this is done, the query will partition the data source and operate on each partition in parallel if possible, and if the query is likely to benefit from parallelization (If parallelization is not possible or reasonable, the query is simply executed sequentially) Therefore, with the addition of a single call to AsParallel( ), a sequential LINQ query is transformed into a parallel PLINQ query, and for simple queries, this is the only step necessary

24:

Duane said, As soon as I read through the list, I knew I had a problem Not just with parallel construction Some of my writing was unclear

M u l t i t h r e a d i n g , P a r t Tw o : E x p l o r i n g t h e Ta s k P a r a l l e l L i b r a r y a n d P L I N Q

(Figure 624) It can be shown that d 1 1 Sec x = , |x| > 1 dx |x| x 2 1 The function Csc x is defined to be the restriction of Csc x to the set [ /2, 0) (0, /2] The graph is exhibited in Figure 625 Then Csc x is oneto-one For these values of the x variable, the sine function takes on all values in the interval [ 1, 1] except for 0 Therefore Csc takes on all values greater 1 than or equal to 1 and all values less than or equal to 1; Csc therefore has domain ( , 1] [1, ) and takes values in [ 1, 0) (0, 1] (Figure 626) It is possible to show that 1 d 1 , |x| > 1 Csc x = dx |x| x 2 1

There are both generic and non-generic versions of AsParallel( ) The non-generic version and the simplest generic version are shown here: public static ParallelQuery AsParallel(this IEnumerable source) public static ParallelQuery<TSource> AsParallel<TSource>(this IEnumerable<TSource> source) Here, TSource stands for the type of the elements in the sequence source Here is an example that demonstrates a simple PLINQ query: