# ap -package

In many situations, the liftM operations can be replaced by uses of ap, which promotes function application. > return f `ap` x1 `ap` ... `ap` xn is equivalent to > liftMn f x1 x2 ... xn
Finds the articulation points for a connected undirected graph, by using the low numbers criteria: a) The root node is an articulation point iff it has two or more children. b) An non-root node v is an articulation point iff there exists at least one child w of v such that lowNumber(w) >= dfsNumber(v).
The computation appendFile file str function appends the string str, to the file file. Note that writeFile and appendFile write a literal string to a file. To write a value of any printable type, as with print, use the show function to convert the value to a string first. > main = appendFile "squares" (show [(x,x*x) | x <- [0,0.1..2]])
approxRational, applied to two real fractional numbers x and epsilon, returns the simplest rational number within epsilon of x. A rational number y is said to be simpler than another y' if * abs (numerator y) <= abs (numerator y'), and * denominator y <= denominator y'. Any real interval contains a unique simplest rational; in particular, note that 0/1 is the simplest rational of all.
O(n) Append two ByteStrings
O(n\c)/ Append two ByteStrings
O_APPEND
O(n) Appends one Text to the other by copying both of them into a new Text. Subject to fusion.
O(n\c)/ Appends one Text to another. Subject to fusion.
Append a ByteString to a file.
Write a string the end of a file.
A functor with application. Instances should satisfy the following laws: * identity pure id <*> v = v * composition pure (.) <*> u <*> v <*> w = u <*> (v <*> w) * homomorphism pure f <*> pure x = pure (f x) * interchange u <*> pure y = pure (\$ y) <*> u * ignore left value u *> v = pure (const id) <*> u <*> v * ignore right value u <* v = pure const <*> u <*> v The Functor instance should satisfy > fmap f x = pure f <*> x If f is also a Monad, define pure = return and (<*>) = ap. Minimal complete definition: pure and <*>.
This module describes a structure intermediate between a functor and a monad: it provides pure expressions and sequencing, but no binding. (Technically, a strong lax monoidal functor.) For more details, see Applicative Programming with Effects, by Conor McBride and Ross Paterson, online at http://www.soi.city.ac.uk/~ross/papers/Applicative.html. This interface was introduced for parsers by Niklas Röjemo, because it admits more sharing than the monadic interface. The names here are mostly based on recent parsing work by Doaitse Swierstra. This class is also useful with instances of the Data.Traversable.Traversable class.
> { f x }
O_APPEND
> T a b
This module corresponds to section 3.8.15 (Texture Application) of the OpenGL 2.1 specs.
Map a function over a list and concatenate the results.
map f xs is the list obtained by applying f to each element of xs, i.e., > map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn] > map f [x1, x2, ...] == [f x1, f x2, ...]
mapM f is equivalent to sequence . map f.
mapM_ f is equivalent to sequence_ . map f.
Some arrows allow application of arrow inputs to other inputs.
Map a function over all the elements of a container and concatenate the resulting lists.