:: a -> a package:ghc-internal

Identity function.
id x = x
This function might seem useless at first glance, but it can be very useful in a higher order context.

Examples

>>> length $ filter id [True, True, False, True]
3
>>> Just (Just 3) >>= id
Just 3
>>> foldr id 0 [(^3), (*5), (+2)]
1000
The call inline f arranges that f is inlined, regardless of its size. More precisely, the call inline f rewrites to the right-hand side of f's definition. This allows the programmer to control inlining from a particular call site rather than the definition site of the function (c.f. INLINE pragmas). This inlining occurs regardless of the argument to the call or the size of f's definition; it is unconditional. The main caveat is that f's definition must be visible to the compiler; it is therefore recommended to mark the function with an INLINABLE pragma at its definition so that GHC guarantees to record its unfolding regardless of size. If no inlining takes place, the inline function expands to the identity function in Phase zero, so its use imposes no overhead.
The call noinline f arranges that f will not be inlined. It is removed during CorePrep so that its use imposes no overhead (besides the fact that it blocks inlining.)
The lazy function restrains strictness analysis a little. The call lazy e means the same as e, but lazy has a magical property so far as strictness analysis is concerned: it is lazy in its first argument, even though its semantics is strict. After strictness analysis has run, calls to lazy are inlined to be the identity function. This behaviour is occasionally useful when controlling evaluation order. Notably, lazy is used in the library definition of par:
par :: a -> b -> b
par x y = case (par# x) of _ -> lazy y
If lazy were not lazy, par would look strict in y which would defeat the whole purpose of par.
Highly, terribly dangerous coercion from one representation type to another. Misuse of this function can invite the garbage collector to trounce upon your data and then laugh in your face. You don't want this function. Really. This becomes more obvious when looking at its actual type: forall (r1 :: RuntimeRep) (r2 :: RuntimeRep) (a :: TYPE r1) (b :: TYPE r2). a -> b Which often get's rendered as a -> b in haddock for technical reasons.
unsafeCoerce coerces a value from one type to another, bypassing the type-checker. There are several legitimate ways to use unsafeCoerce:
  1. To coerce a lifted type such as Int to Any, put it in a list of Any, and then later coerce it back to Int before using it.
  2. To produce e.g. (a+b) :~: (b+a) from unsafeCoerce Refl. Here the two sides really are the same type -- so nothing unsafe is happening -- but GHC is not clever enough to see it.
  3. In Data.Typeable we have
eqTypeRep :: forall k1 k2 (a :: k1) (b :: k2).
TypeRep a -> TypeRep b -> Maybe (a :~~: b)
eqTypeRep a b
| sameTypeRep a b = Just (unsafeCoerce HRefl)
| otherwise       = Nothing

Here again, the unsafeCoerce HRefl is safe, because the two types really are the same -- but the proof of that relies on the complex, trusted implementation of Typeable.
  1. (superseded) The "reflection trick", which takes advantage of the fact that in class C a where { op :: ty }, we can safely coerce between C a and ty (which have different kinds!) because it's really just a newtype. Note: there is no guarantee, at all that this behavior will be supported into perpetuity. It is now preferred to use withDict in GHC.Magic.Dict, which is type-safe. See Note [withDict] in GHC.Tc.Instance.Class for details.
  2. (superseded) Casting between two types which have exactly the same structure: between a newtype of T and T, or between types which differ only in "phantom" type parameters. It is now preferred to use coerce from Data.Coerce, which is type-safe.
Other uses of unsafeCoerce are undefined. In particular, you should not use unsafeCoerce to cast a T to an algebraic data type D, unless T is also an algebraic data type. For example, do not cast Int->Int to Bool, even if you later cast that Bool back to Int->Int before applying it. The reasons have to do with GHC's internal representation details (for the cognoscenti, data values can be entered but function closures cannot). If you want a safe type to cast things to, use Any, which is not an algebraic data type.
Highly, terribly dangerous coercion from one representation type to another. Misuse of this function can invite the garbage collector to trounce upon your data and then laugh in your face. You don't want this function. Really. This becomes more obvious when looking at its actual type: forall (r1 :: RuntimeRep) (r2 :: RuntimeRep) (a :: TYPE r1) (b :: TYPE r2). a -> b Which often get's rendered as a -> b in haddock for technical reasons.