lens-4.6.0.1: Lenses, Folds and Traversals

Copyright(C) 2012-14 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityexperimental
PortabilityLiberalTypeSynonyms
Safe HaskellSafe-Inferred
LanguageHaskell98

Data.Bits.Lens

Description

 

Synopsis

Documentation

(.|.~) :: Bits a => ASetter s t a a -> a -> s -> t infixr 4 Source

Bitwise .|. the target(s) of a Lens or Setter.

>>> _2 .|.~ 6 $ ("hello",3)
("hello",7)
(.|.~) :: Bits a             => Setter s t a a    -> a -> s -> t
(.|.~) :: Bits a             => Iso s t a a       -> a -> s -> t
(.|.~) :: Bits a             => Lens s t a a      -> a -> s -> t
(.|.~) :: (Monoid a, Bits a) => Traversal s t a a -> a -> s -> t

(.&.~) :: Bits a => ASetter s t a a -> a -> s -> t infixr 4 Source

Bitwise .&. the target(s) of a Lens or Setter.

>>> _2 .&.~ 7 $ ("hello",254)
("hello",6)
(.&.~) :: Bits a             => Setter s t a a    -> a -> s -> t
(.&.~) :: Bits a             => Iso s t a a       -> a -> s -> t
(.&.~) :: Bits a             => Lens s t a a      -> a -> s -> t
(.&.~) :: (Monoid a, Bits a) => Traversal s t a a -> a -> s -> t

(<.|.~) :: Bits a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 Source

Bitwise .|. the target(s) of a Lens (or Traversal), returning the result (or a monoidal summary of all of the results).

>>> _2 <.|.~ 6 $ ("hello",3)
(7,("hello",7))
(<.|.~) :: Bits a             => Iso s t a a       -> a -> s -> (a, t)
(<.|.~) :: Bits a             => Lens s t a a      -> a -> s -> (a, t)
(<.|.~) :: (Bits a, Monoid a) => Traversal s t a a -> a -> s -> (a, t)

(<.&.~) :: Bits a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 Source

Bitwise .&. the target(s) of a Lens or Traversal, returning the result (or a monoidal summary of all of the results).

>>> _2 <.&.~ 7 $ ("hello",254)
(6,("hello",6))
(<.&.~) :: Bits a             => Iso       s t a a -> a -> s -> (a, t)
(<.&.~) :: Bits a             => Lens      s t a a -> a -> s -> (a, t)
(<.&.~) :: (Bits a, Monoid a) => Traversal s t a a -> a -> s -> (a, t)

(<<.|.~) :: Bits a => Optical' (->) q ((,) a) s a -> a -> q s (a, s) infixr 4 Source

(<<.&.~) :: Bits a => Optical' (->) q ((,) a) s a -> a -> q s (a, s) infixr 4 Source

(.|.=) :: (MonadState s m, Bits a) => ASetter' s a -> a -> m () infix 4 Source

Modify the target(s) of a Lens', Setter or Traversal by computing its bitwise .|. with another value.

>>> execState (do _1 .|.= 15; _2 .|.= 3) (7,7)
(15,7)
(.|.=) :: (MonadState s m, Bits a) => Setter' s a    -> a -> m ()
(.|.=) :: (MonadState s m, Bits a) => Iso' s a       -> a -> m ()
(.|.=) :: (MonadState s m, Bits a) => Lens' s a      -> a -> m ()
(.|.=) :: (MonadState s m, Bits a) => Traversal' s a -> a -> m ()

(.&.=) :: (MonadState s m, Bits a) => ASetter' s a -> a -> m () infix 4 Source

Modify the target(s) of a Lens', Setter' or Traversal' by computing its bitwise .&. with another value.

>>> execState (do _1 .&.= 15; _2 .&.= 3) (7,7)
(7,3)
(.&.=) :: (MonadState s m, Bits a) => Setter' s a    -> a -> m ()
(.&.=) :: (MonadState s m, Bits a) => Iso' s a       -> a -> m ()
(.&.=) :: (MonadState s m, Bits a) => Lens' s a      -> a -> m ()
(.&.=) :: (MonadState s m, Bits a) => Traversal' s a -> a -> m ()

(<.|.=) :: (MonadState s m, Bits a) => LensLike' ((,) a) s a -> a -> m a infix 4 Source

Modify the target(s) of a Lens', (or Traversal) by computing its bitwise .|. with another value, returning the result (or a monoidal summary of all of the results traversed).

>>> runState (_1 <.|.= 7) (28,0)
(31,(31,0))
(<.|.=) :: (MonadState s m, Bits a)           => Lens' s a      -> a -> m a
(<.|.=) :: (MonadState s m, Bits a, Monoid a) => Traversal' s a -> a -> m a

(<.&.=) :: (MonadState s m, Bits a) => LensLike' ((,) a) s a -> a -> m a infix 4 Source

Modify the target(s) of a Lens' (or Traversal') by computing its bitwise .&. with another value, returning the result (or a monoidal summary of all of the results traversed).

>>> runState (_1 <.&.= 15) (31,0)
(15,(15,0))
(<.&.=) :: (MonadState s m, Bits a)           => Lens' s a      -> a -> m a
(<.&.=) :: (MonadState s m, Bits a, Monoid a) => Traversal' s a -> a -> m a

(<<.|.=) :: (MonadState s m, Bits a) => LensLike' ((,) a) s a -> a -> m a infix 4 Source

(<<.&.=) :: (MonadState s m, Bits a) => LensLike' ((,) a) s a -> a -> m a infix 4 Source

bitAt :: Bits b => Int -> IndexedLens' Int b Bool Source

This Lens can be used to access the value of the nth bit in a number.

bitAt n is only a legal Lens into b if 0 <= n < bitSize (undefined :: b).

>>> 16^.bitAt 4
True
>>> 15^.bitAt 4
False
>>> 15 & bitAt 4 .~ True
31
>>> 16 & bitAt 4 .~ False
0

bits :: (Num b, Bits b) => IndexedTraversal' Int b Bool Source

Traverse over all bits in a numeric type.

The bit position is available as the index.

>>> toListOf bits (5 :: Word8)
[True,False,True,False,False,False,False,False]

If you supply this an Integer, the result will be an infinite Traversal, which can be productively consumed, but not reassembled.

byteAt :: (Integral b, Bits b) => Int -> IndexedLens' Int b Word8 Source

Get the nth byte, counting from the low end.

byteAt n is a legal Lens into b iff 0 <= n < div (bitSize (undefined :: b)) 8

>>> (0xff00 :: Word16)^.byteAt 0
0
>>> (0xff00 :: Word16)^.byteAt 1
255
>>> byteAt 1 .~ 0 $ 0xff00 :: Word16
0
>>> byteAt 0 .~ 0xff $ 0 :: Word16
255

bytewise :: (Integral b, Bits b) => IndexedTraversal' Int b Word8 Source

Traverse over all the bytes in an integral type, from the low end.

The byte position is available as the index.

>>> toListOf bytewise (1312301580 :: Word32)
[12,34,56,78]

If you supply this an Integer, the result will be an infinite Traversal, which can be productively consumed, but not reassembled.

Why is this function called bytes to match bits? Alas, there is already a function by that name in Data.ByteString.Lens.