foundation-0.0.15: Alternative prelude with batteries and no dependencies

Safe HaskellNone
LanguageHaskell2010

Foundation.Bits

Synopsis

Documentation

(.<<.) :: Bits a => a -> Int -> a #

Unsafe Shift Left Operator

(.>>.) :: Bits a => a -> Int -> a #

Unsafe Shift Right Operator

class Eq a => Bits a where #

The Bits class defines bitwise operations over integral types.

  • Bits are numbered from 0 with bit 0 being the least significant bit.

Methods

(.&.) :: a -> a -> a infixl 7 #

Bitwise "and"

(.|.) :: a -> a -> a infixl 5 #

Bitwise "or"

xor :: a -> a -> a infixl 6 #

Bitwise "xor"

complement :: a -> a #

Reverse all the bits in the argument

shift :: a -> Int -> a infixl 8 #

shift x i shifts x left by i bits if i is positive, or right by -i bits otherwise. Right shifts perform sign extension on signed number types; i.e. they fill the top bits with 1 if the x is negative and with 0 otherwise.

An instance can define either this unified shift or shiftL and shiftR, depending on which is more convenient for the type in question.

rotate :: a -> Int -> a infixl 8 #

rotate x i rotates x left by i bits if i is positive, or right by -i bits otherwise.

For unbounded types like Integer, rotate is equivalent to shift.

An instance can define either this unified rotate or rotateL and rotateR, depending on which is more convenient for the type in question.

zeroBits :: a #

zeroBits is the value with all bits unset.

The following laws ought to hold (for all valid bit indices n):

This method uses clearBit (bit 0) 0 as its default implementation (which ought to be equivalent to zeroBits for types which possess a 0th bit).

Since: 4.7.0.0

bit :: Int -> a #

bit i is a value with the ith bit set and all other bits clear.

Can be implemented using bitDefault if a is also an instance of Num.

See also zeroBits.

setBit :: a -> Int -> a #

x `setBit` i is the same as x .|. bit i

clearBit :: a -> Int -> a #

x `clearBit` i is the same as x .&. complement (bit i)

complementBit :: a -> Int -> a #

x `complementBit` i is the same as x `xor` bit i

testBit :: a -> Int -> Bool #

Return True if the nth bit of the argument is 1

Can be implemented using testBitDefault if a is also an instance of Num.

bitSizeMaybe :: a -> Maybe Int #

Return the number of bits in the type of the argument. The actual value of the argument is ignored. Returns Nothing for types that do not have a fixed bitsize, like Integer.

Since: 4.7.0.0

bitSize :: a -> Int #

Return the number of bits in the type of the argument. The actual value of the argument is ignored. The function bitSize is undefined for types that do not have a fixed bitsize, like Integer.

isSigned :: a -> Bool #

Return True if the argument is a signed type. The actual value of the argument is ignored

shiftL :: a -> Int -> a infixl 8 #

Shift the argument left by the specified number of bits (which must be non-negative).

An instance can define either this and shiftR or the unified shift, depending on which is more convenient for the type in question.

unsafeShiftL :: a -> Int -> a #

Shift the argument left by the specified number of bits. The result is undefined for negative shift amounts and shift amounts greater or equal to the bitSize.

Defaults to shiftL unless defined explicitly by an instance.

Since: 4.5.0.0

shiftR :: a -> Int -> a infixl 8 #

Shift the first argument right by the specified number of bits. The result is undefined for negative shift amounts and shift amounts greater or equal to the bitSize.

Right shifts perform sign extension on signed number types; i.e. they fill the top bits with 1 if the x is negative and with 0 otherwise.

An instance can define either this and shiftL or the unified shift, depending on which is more convenient for the type in question.

unsafeShiftR :: a -> Int -> a #

Shift the first argument right by the specified number of bits, which must be non-negative an smaller than the number of bits in the type.

Right shifts perform sign extension on signed number types; i.e. they fill the top bits with 1 if the x is negative and with 0 otherwise.

Defaults to shiftR unless defined explicitly by an instance.

Since: 4.5.0.0

rotateL :: a -> Int -> a infixl 8 #

Rotate the argument left by the specified number of bits (which must be non-negative).

An instance can define either this and rotateR or the unified rotate, depending on which is more convenient for the type in question.

rotateR :: a -> Int -> a infixl 8 #

Rotate the argument right by the specified number of bits (which must be non-negative).

An instance can define either this and rotateL or the unified rotate, depending on which is more convenient for the type in question.

popCount :: a -> Int #

Return the number of set bits in the argument. This number is known as the population count or the Hamming weight.

Can be implemented using popCountDefault if a is also an instance of Num.

Since: 4.5.0.0

Instances

Bits Bool 
Bits Int 

Methods

(.&.) :: Int -> Int -> Int #

(.|.) :: Int -> Int -> Int #

xor :: Int -> Int -> Int #

complement :: Int -> Int #

shift :: Int -> Int -> Int #

rotate :: Int -> Int -> Int #

zeroBits :: Int #

bit :: Int -> Int #

setBit :: Int -> Int -> Int #

clearBit :: Int -> Int -> Int #

complementBit :: Int -> Int -> Int #

testBit :: Int -> Int -> Bool #

bitSizeMaybe :: Int -> Maybe Int #

bitSize :: Int -> Int #

isSigned :: Int -> Bool #

shiftL :: Int -> Int -> Int #

unsafeShiftL :: Int -> Int -> Int #

shiftR :: Int -> Int -> Int #

unsafeShiftR :: Int -> Int -> Int #

rotateL :: Int -> Int -> Int #

rotateR :: Int -> Int -> Int #

popCount :: Int -> Int #

Bits Int8 
Bits Int16 
Bits Int32 
Bits Int64 
Bits Integer 
Bits Word 
Bits Word8 
Bits Word16 
Bits Word32 
Bits Word64 
Bits Natural 
Bits CDev 
Bits CIno 
Bits CMode 
Bits COff 
Bits CPid 
Bits CSsize 
Bits CGid 
Bits CNlink 
Bits CUid 
Bits CTcflag 
Bits CRLim 
Bits Fd 

Methods

(.&.) :: Fd -> Fd -> Fd #

(.|.) :: Fd -> Fd -> Fd #

xor :: Fd -> Fd -> Fd #

complement :: Fd -> Fd #

shift :: Fd -> Int -> Fd #

rotate :: Fd -> Int -> Fd #

zeroBits :: Fd #

bit :: Int -> Fd #

setBit :: Fd -> Int -> Fd #

clearBit :: Fd -> Int -> Fd #

complementBit :: Fd -> Int -> Fd #

testBit :: Fd -> Int -> Bool #

bitSizeMaybe :: Fd -> Maybe Int #

bitSize :: Fd -> Int #

isSigned :: Fd -> Bool #

shiftL :: Fd -> Int -> Fd #

unsafeShiftL :: Fd -> Int -> Fd #

shiftR :: Fd -> Int -> Fd #

unsafeShiftR :: Fd -> Int -> Fd #

rotateL :: Fd -> Int -> Fd #

rotateR :: Fd -> Int -> Fd #

popCount :: Fd -> Int #

Bits WordPtr 
Bits IntPtr 
Bits CChar 
Bits CSChar 
Bits CUChar 
Bits CShort 
Bits CUShort 
Bits CInt 
Bits CUInt 
Bits CLong 
Bits CULong 
Bits CLLong 
Bits CULLong 
Bits CPtrdiff 
Bits CSize 
Bits CWchar 
Bits CSigAtomic 
Bits CIntPtr 
Bits CUIntPtr 
Bits CIntMax 
Bits CUIntMax 
Bits Word256 
Bits Word128 
Bits a => Bits (Identity a) 
Bits a => Bits (LE a) 

Methods

(.&.) :: LE a -> LE a -> LE a #

(.|.) :: LE a -> LE a -> LE a #

xor :: LE a -> LE a -> LE a #

complement :: LE a -> LE a #

shift :: LE a -> Int -> LE a #

rotate :: LE a -> Int -> LE a #

zeroBits :: LE a #

bit :: Int -> LE a #

setBit :: LE a -> Int -> LE a #

clearBit :: LE a -> Int -> LE a #

complementBit :: LE a -> Int -> LE a #

testBit :: LE a -> Int -> Bool #

bitSizeMaybe :: LE a -> Maybe Int #

bitSize :: LE a -> Int #

isSigned :: LE a -> Bool #

shiftL :: LE a -> Int -> LE a #

unsafeShiftL :: LE a -> Int -> LE a #

shiftR :: LE a -> Int -> LE a #

unsafeShiftR :: LE a -> Int -> LE a #

rotateL :: LE a -> Int -> LE a #

rotateR :: LE a -> Int -> LE a #

popCount :: LE a -> Int #

Bits a => Bits (BE a) 

Methods

(.&.) :: BE a -> BE a -> BE a #

(.|.) :: BE a -> BE a -> BE a #

xor :: BE a -> BE a -> BE a #

complement :: BE a -> BE a #

shift :: BE a -> Int -> BE a #

rotate :: BE a -> Int -> BE a #

zeroBits :: BE a #

bit :: Int -> BE a #

setBit :: BE a -> Int -> BE a #

clearBit :: BE a -> Int -> BE a #

complementBit :: BE a -> Int -> BE a #

testBit :: BE a -> Int -> Bool #

bitSizeMaybe :: BE a -> Maybe Int #

bitSize :: BE a -> Int #

isSigned :: BE a -> Bool #

shiftL :: BE a -> Int -> BE a #

unsafeShiftL :: BE a -> Int -> BE a #

shiftR :: BE a -> Int -> BE a #

unsafeShiftR :: BE a -> Int -> BE a #

rotateL :: BE a -> Int -> BE a #

rotateR :: BE a -> Int -> BE a #

popCount :: BE a -> Int #

Bits a => Bits (Const k a b) 

Methods

(.&.) :: Const k a b -> Const k a b -> Const k a b #

(.|.) :: Const k a b -> Const k a b -> Const k a b #

xor :: Const k a b -> Const k a b -> Const k a b #

complement :: Const k a b -> Const k a b #

shift :: Const k a b -> Int -> Const k a b #

rotate :: Const k a b -> Int -> Const k a b #

zeroBits :: Const k a b #

bit :: Int -> Const k a b #

setBit :: Const k a b -> Int -> Const k a b #

clearBit :: Const k a b -> Int -> Const k a b #

complementBit :: Const k a b -> Int -> Const k a b #

testBit :: Const k a b -> Int -> Bool #

bitSizeMaybe :: Const k a b -> Maybe Int #

bitSize :: Const k a b -> Int #

isSigned :: Const k a b -> Bool #

shiftL :: Const k a b -> Int -> Const k a b #

unsafeShiftL :: Const k a b -> Int -> Const k a b #

shiftR :: Const k a b -> Int -> Const k a b #

unsafeShiftR :: Const k a b -> Int -> Const k a b #

rotateL :: Const k a b -> Int -> Const k a b #

rotateR :: Const k a b -> Int -> Const k a b #

popCount :: Const k a b -> Int #

alignRoundUp #

Arguments

:: Int

Number to Align

-> Int

Alignment (power of 2)

-> Int 

Round up (if needed) to a multiple of alignment closst to m

alignment needs to be a power of two

alignRoundUp 16 8 = 16 alignRoundUp 15 8 = 16

alignRoundDown #

Arguments

:: Int

Number to Align

-> Int

Alignment (power of 2)

-> Int 

Round down (if needed) to a multiple of alignment closest to m

alignment needs to be a power of two

alignRoundDown 15 8 = 8
alignRoundDown 8 8  = 8