The monad-par package provides a family of Par monads, for speeding up pure computations using parallel processors. (for a similar programming model for use with IO, see Control.Monad.Par.IO.)

The result of a given Par computation is always the same - i.e. it is deterministic, but the computation may be performed more quickly if there are processors available to share the work.

For example, the following program fragment computes the values of (f x) and (g x) in parallel, and returns a pair of their results:

 runPar $ do
     fx <- spawnP (f x)  -- start evaluating (f x)
     gx <- spawnP (g x)  -- start evaluating (g x)
     a  <- get fx        -- wait for fx
     b  <- get gx        -- wait for gx
     return (a,b)        -- return results

Par can be used for specifying pure parallel computations in which the order of the computation is not known beforehand. The programmer specifies how information flows from one part of the computation to another, but not the order in which computations will be evaluated at runtime. Information flow is described using "variables" called IVars, which support put and get operations. For example, suppose you have a problem that can be expressed as a network with four nodes, where b and c require the value of a, and d requires the value of b and c:

                      a
                     / \               
                    b   c             
                     \ /  
                      d

Then you could express this in the Par monad like this:

  runPar $ do
      [a,b,c,d] <- sequence [new,new,new,new]
      fork $ do x <- get a; put b (x+1)
      fork $ do x <- get a; put c (x+2)
      fork $ do x <- get b; y <- get c; put d (x+y)
      fork $ do put a (3 :: Int)
      get d

The result of the above computation is always 9. The get operation waits until its input is available; multiple puts to the same IVar are not allowed, and result in a runtime error. Values stored in IVars are usually fully evaluated (although there are ways provided to pass lazy values if necessary).

In the above example, b and c will be evaluated in parallel. In practice the work involved at each node is too small here to see the benefits of parallelism though: typically each node should involve much more work. The granularity is completely under your control - too small and the overhead of the Par monad will outweigh any parallelism benefits, whereas if the nodes are too large then there might not be enough parallelism to use all the available processors.

Unlike Control.Parallel, in Control.Monad.Par parallelism is not combined with laziness, so sharing and granularity are completely under the control of the programmer. New units of parallel work are only created by fork and a few other combinators.

The default implementation is based on a work-stealing scheduler that divides the work as evenly as possible between the available processors at runtime. Other schedulers are available that are based on different policies and have different performance characteristics. To use one of these other schedulers, just import its module instead of Control.Monad.Par:

• Control.Monad.Par.Scheds.Trace
• Control.Monad.Par.Scheds.Sparks

For more information on the programming model, please see these sources:

• The wiki/tutorial (http://www.haskell.org/haskellwiki/Par_Monad:_A_Parallelism_Tutorial)
• The original paper (http://www.cs.indiana.edu/~rrnewton/papers/haskell2011_monad-par.pdf)
• Tutorial slides (http://community.haskell.org/~simonmar/slides/CUFP.pdf)
• Other slides: (http://www.cs.ox.ac.uk/ralf.hinze/WG2.8/28/slides/simon.pdf, http://www.cs.indiana.edu/~rrnewton/talks/2011_HaskellSymposium_ParMonad.pdf)

Forks a computation to happen in parallel. The forked computation may exchange values with other computations using IVars.

Like fork, but returns an IVar that can be used to query the result of the forked computataion. Therefore spawn provides futures or promises.

 spawn p = do
   r <- new
   fork (p >>= put r)
   return r

Like spawn, but the result is only head-strict, not fully-strict.

Spawn a pure (rather than monadic) computation. Fully-strict.

 spawnP = spawn . return

This module also reexports the Combinator library for backwards compatibility with version 0.1.

(0.3) Reexport NFData for fully-strict operators.