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[ new ] Implement bit-rotation operators (#2903)
* [ new ] Implement bit-rotation operators Whereas `shiftR` and `shiftL` throw bits off the edge, the `rotR` and `rotL` operations wrap the bits around to the start of the bit-stream. * [ test ] visualise bit patterns instead * [ fix ] print bit patterns the right way around --------- Co-authored-by: Guillaume Allais <guillaume.allais@ens-lyon.org>
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@ -110,6 +110,8 @@
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`setInt32` (now takes an `Int32` instead of an `Int`),
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`getInt32` (now returns an `Int32` instead of an `Int`)
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* Adds left- and right-rotation for `FiniteBits`.
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* Adds `Vect.permute` for applying permutations to `Vect`s.
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* Adds `Vect.kSplits` and `Vect.nSplits` for splitting a `Vect` whose length is
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a known multiple of two `Nat`s (k * n) into k vectors of length n (and
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@ -1,6 +1,7 @@
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module Data.Bits
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import public Data.Fin
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import Data.Vect
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%default total
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@ -208,6 +209,24 @@ interface Bits a => FiniteBits a where
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||| known as the population count or the Hamming weight.
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popCount : a -> Nat
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||| Rotate the argument right by the specified number of bits.
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rotR : a -> Fin bitSize -> a
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rotR x i =
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(x `shiftR` (bitsToIndex i)) .|. (x `shiftL` (bitsToIndex $ finS (complement i)))
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||| Rotate the argument left by the specified number of bits.
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rotL : a -> Fin bitSize -> a
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rotL x i =
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(x `shiftL` (bitsToIndex i)) .|. (x `shiftR` (bitsToIndex $ finS (complement i)))
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public export
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asBitVector : FiniteBits a => a -> Vect (bitSize {a}) Bool
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asBitVector v = testBit v . bitsToIndex <$> allFins _
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public export
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asString : FiniteBits a => a -> String
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asString = pack . toList . map (\ b => ifThenElse b '1' '0') . reverse . asBitVector
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public export %inline
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FiniteBits Bits8 where
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bitSize = 8
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@ -282,6 +301,19 @@ FiniteBits Int where
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x5 = if x < 0 then x4 + 1 else x4
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in cast x5
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-- Rotating signed integers is tricky because right-shifting a signed integer
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-- inserts the signed bit rather than a 0-bit. We can work around this by
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-- casting to (unsigned) Bits64, rotating, and casting back.
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rotR x i =
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let ux : Bits64
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ux = cast x
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in cast $ ux `rotR` i
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rotL x i =
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let ux : Bits64
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ux = cast x
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in cast $ ux `rotL` i
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public export %inline
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FiniteBits Int8 where
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bitSize = 8
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@ -300,6 +332,19 @@ FiniteBits Int8 where
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x4 = if x < 0 then x3 + 1 else x3
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in cast x4
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-- Rotating signed integers is tricky because right-shifting a signed integer
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-- inserts the signed bit rather than a 0-bit. We can work around this by
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-- casting to (unsigned) Bits, rotating, and casting back.
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rotR x i =
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let ux : Bits8
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ux = cast x
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in cast $ ux `rotR` i
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rotL x i =
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let ux : Bits8
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ux = cast x
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in cast $ ux `rotL` i
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public export %inline
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FiniteBits Int16 where
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bitSize = 16
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@ -319,6 +364,19 @@ FiniteBits Int16 where
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x5 = if x < 0 then x4 + 1 else x4
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in cast x5
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-- Rotating signed integers is tricky because right-shifting a signed integer
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-- inserts the signed bit rather than a 0-bit. We can work around this by
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-- casting to (unsigned) Bits, rotating, and casting back.
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rotR x i =
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let ux : Bits16
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ux = cast x
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in cast $ ux `rotR` i
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rotL x i =
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let ux : Bits16
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ux = cast x
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in cast $ ux `rotL` i
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public export %inline
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FiniteBits Int32 where
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bitSize = 32
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@ -338,6 +396,19 @@ FiniteBits Int32 where
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x5 = if x < 0 then x4 + 1 else x4
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in cast x5
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-- Rotating signed integers is tricky because right-shifting a signed integer
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-- inserts the signed bit rather than a 0-bit. We can work around this by
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-- casting to (unsigned) Bits, rotating, and casting back.
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rotR x i =
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let ux : Bits32
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ux = cast x
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in cast $ ux `rotR` i
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rotL x i =
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let ux : Bits32
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ux = cast x
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in cast $ ux `rotL` i
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public export %inline
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FiniteBits Int64 where
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bitSize = 64
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@ -358,3 +429,16 @@ FiniteBits Int64 where
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x4 = (x3 * 0x0101010101010101) `shiftR` 56
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x5 = if x < 0 then x4 + 1 else x4
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in cast x5
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-- Rotating signed integers is tricky because right-shifting a signed integer
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-- inserts the signed bit rather than a 0-bit. We can work around this by
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-- casting to (unsigned) Bits, rotating, and casting back.
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rotR x i =
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let ux : Bits64
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ux = cast x
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in cast $ ux `rotR` i
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rotL x i =
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let ux : Bits64
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ux = cast x
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in cast $ ux `rotL` i
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@ -153,11 +153,22 @@ complement : {n : Nat} -> Fin n -> Fin n
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complement {n = S _} FZ = last
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complement {n = S _} (FS x) = weaken $ complement x
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||| All of the Fin elements
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public export
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allFins : (n : Nat) -> List1 (Fin (S n))
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allFins Z = FZ ::: []
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allFins (S n) = FZ ::: map FS (forget (allFins n))
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namespace List
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||| All of the Fin elements
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public export
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allFins : (n : Nat) -> List (Fin n)
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allFins Z = []
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allFins (S n) = FZ :: map FS (allFins n)
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namespace List1
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||| All of the Fin elements
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public export
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allFins : (n : Nat) -> List1 (Fin (S n))
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allFins Z = FZ ::: []
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allFins (S n) = FZ ::: map FS (forget (allFins n))
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export
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Ord (Fin n) where
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100
tests/base/data_bits002/BitRotate.idr
Normal file
100
tests/base/data_bits002/BitRotate.idr
Normal file
@ -0,0 +1,100 @@
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import Data.Bits
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import Data.List
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import Data.Stream
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import Data.String
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import Decidable.Equality
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import Data.Fin
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--------------------------------------------------------------------------------
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-- Utilities
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--------------------------------------------------------------------------------
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shl1 : Int -> Int
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shl1 = prim__shl_Int 1
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b8max : Bits8
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b8max = 0xff
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b16max : Bits16
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b16max = 0xffff
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b32max : Bits32
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b32max = 0xffffffff
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b64max : Bits64
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b64max = 18446744073709551615
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-- the only way to create -2^63
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intmin : Int
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intmin = shl1 63
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intmax : Int
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intmax = 0x7fffffffffffffff
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powsOf2 : Num a => Nat -> List a
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powsOf2 n = take n (iterate (*2) 1)
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experiment : FiniteBits a => String -> (a -> a) -> List a -> String
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experiment name f vals
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= unlines
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$ replicate 72 '-'
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:: "-- \{name}"
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:: map (\ l => "\{asString l} \{asString (f l)}") vals
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--------------------------------------------------------------------------------
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-- rotR
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--------------------------------------------------------------------------------
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rotRBits8 : String
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rotRBits8 = experiment "RotR Bits8" (`rotR` 1) (0 :: powsOf2 8 ++ [b8max])
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rotRBits16 : String
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rotRBits16 = experiment "RotR Bits16" (`rotR` 1) (0 :: powsOf2 16 ++ [b16max])
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rotRBits32 : String
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rotRBits32 = experiment "RotR Bits32" (`rotR` 1) (0 :: powsOf2 32 ++ [b32max])
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rotRInt : String
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rotRInt = experiment "RotR Int" (`rotR` 1) (0 :: powsOf2 63 ++ [intmax])
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rotRNegativeInt : String
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rotRNegativeInt = experiment "RotR negative Int" (`rotR` 1) (0 :: map negate (powsOf2 63) ++ [intmin])
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--------------------------------------------------------------------------------
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-- rotL
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--------------------------------------------------------------------------------
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rotLBits8 : String
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rotLBits8 = experiment "RotL Bits8" (`rotL` 1) (0 :: powsOf2 8 ++ [b8max])
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rotLBits16 : String
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rotLBits16 = experiment "RotL Bits16" (`rotL` 1) (0 :: powsOf2 16 ++ [b16max])
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rotLBits32 : String
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rotLBits32 = experiment "RotL Bits32" (`rotL` 1) (0 :: powsOf2 32 ++ [b32max])
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rotLInt : String
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rotLInt = experiment "RotL Int" (`rotL` 1) (0 :: powsOf2 63 ++ [intmax])
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rotLNegativeInt : String
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rotLNegativeInt = experiment "RotL negative Int" (`rotL` 1) (0 :: map negate (powsOf2 62) ++ [intmin])
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--------------------------------------------------------------------------------
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-- Running Tests
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--------------------------------------------------------------------------------
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main : IO ()
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main = do putStrLn rotRBits8
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putStrLn rotRBits16
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putStrLn rotRBits32
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putStrLn rotRInt
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putStrLn rotRNegativeInt
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putStrLn ""
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putStrLn rotLBits8
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putStrLn rotLBits16
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putStrLn rotLBits32
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putStrLn rotLInt
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putStrLn rotLNegativeInt
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416
tests/base/data_bits002/expected
Normal file
416
tests/base/data_bits002/expected
Normal file
@ -0,0 +1,416 @@
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1/1: Building BitRotate (BitRotate.idr)
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Main> ------------------------------------------------------------------------
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-- RotR Bits8
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00000000 00000000
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00000001 10000000
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00000010 00000001
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00000100 00000010
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00001000 00000100
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00010000 00001000
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00100000 00010000
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01000000 00100000
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10000000 01000000
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11111111 11111111
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------------------------------------------------------------------------
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-- RotR Bits16
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0000000000000000 0000000000000000
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0000000000000001 1000000000000000
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0000000000000010 0000000000000001
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0000000000000100 0000000000000010
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0000000000001000 0000000000000100
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0000000000010000 0000000000001000
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0000000000100000 0000000000010000
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0000000001000000 0000000000100000
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0000000010000000 0000000001000000
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0000000100000000 0000000010000000
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0000001000000000 0000000100000000
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0000010000000000 0000001000000000
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0000100000000000 0000010000000000
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0001000000000000 0000100000000000
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0010000000000000 0001000000000000
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0100000000000000 0010000000000000
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1000000000000000 0100000000000000
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1111111111111111 1111111111111111
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------------------------------------------------------------------------
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-- RotR Bits32
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00000000000000000000000000000000 00000000000000000000000000000000
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00000000000000000000000000000001 10000000000000000000000000000000
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00000000000000000000000000000010 00000000000000000000000000000001
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00000000000000000000000000000100 00000000000000000000000000000010
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00000000000000000000000000001000 00000000000000000000000000000100
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00000000000000000000000000010000 00000000000000000000000000001000
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00000000000000000000000000100000 00000000000000000000000000010000
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00000000000000000000000001000000 00000000000000000000000000100000
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00000000000000000000000010000000 00000000000000000000000001000000
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00000000000000000000000100000000 00000000000000000000000010000000
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00000000000000000000001000000000 00000000000000000000000100000000
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00000000000000000000010000000000 00000000000000000000001000000000
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00000000000000000000100000000000 00000000000000000000010000000000
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00000000000000000001000000000000 00000000000000000000100000000000
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00000000000000000010000000000000 00000000000000000001000000000000
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00000000000000000100000000000000 00000000000000000010000000000000
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00000000000000001000000000000000 00000000000000000100000000000000
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00000000000000010000000000000000 00000000000000001000000000000000
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00000000000000100000000000000000 00000000000000010000000000000000
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00000000000001000000000000000000 00000000000000100000000000000000
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00000000000010000000000000000000 00000000000001000000000000000000
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00000000000100000000000000000000 00000000000010000000000000000000
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00000000001000000000000000000000 00000000000100000000000000000000
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00000000010000000000000000000000 00000000001000000000000000000000
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00000000100000000000000000000000 00000000010000000000000000000000
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00000001000000000000000000000000 00000000100000000000000000000000
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00000010000000000000000000000000 00000001000000000000000000000000
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00000100000000000000000000000000 00000010000000000000000000000000
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00001000000000000000000000000000 00000100000000000000000000000000
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00010000000000000000000000000000 00001000000000000000000000000000
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00100000000000000000000000000000 00010000000000000000000000000000
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01000000000000000000000000000000 00100000000000000000000000000000
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10000000000000000000000000000000 01000000000000000000000000000000
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11111111111111111111111111111111 11111111111111111111111111111111
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------------------------------------------------------------------------
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-- RotR Int
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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000
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0000000000000000000000000000000000000000000000000000000000000001 1000000000000000000000000000000000000000000000000000000000000000
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0000000000000000000000000000000000000000000000000000000000000010 0000000000000000000000000000000000000000000000000000000000000001
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0000000000000000000000000000000000000000000000000000000000000100 0000000000000000000000000000000000000000000000000000000000000010
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0000000000000000000000000000000000000000000000000000000000001000 0000000000000000000000000000000000000000000000000000000000000100
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0000000000000000000000000000000000000000000000000000000000010000 0000000000000000000000000000000000000000000000000000000000001000
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0000000000000000000000000000000000000000000000000000000000100000 0000000000000000000000000000000000000000000000000000000000010000
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0000000000000000000000000000000000000000000000000000000001000000 0000000000000000000000000000000000000000000000000000000000100000
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0000000000000000000000000000000000000000000000000000000010000000 0000000000000000000000000000000000000000000000000000000001000000
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0000000000000000000000000000000000000000000000000000000100000000 0000000000000000000000000000000000000000000000000000000010000000
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0000000000000000000000000000000000000000000000000000001000000000 0000000000000000000000000000000000000000000000000000000100000000
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0000000000000000000000000000000000000000000000000000010000000000 0000000000000000000000000000000000000000000000000000001000000000
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0000000000000000000000000000000000000000000000000000100000000000 0000000000000000000000000000000000000000000000000000010000000000
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0000000000000000000000000000000000000000000000000001000000000000 0000000000000000000000000000000000000000000000000000100000000000
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0000000000000000000000000000000000000000000000000010000000000000 0000000000000000000000000000000000000000000000000001000000000000
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0000000000000000000000000000000000000000000000000100000000000000 0000000000000000000000000000000000000000000000000010000000000000
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0000000000000000000000000000000000000000000000001000000000000000 0000000000000000000000000000000000000000000000000100000000000000
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0000000000000000000000000000000000000000000000010000000000000000 0000000000000000000000000000000000000000000000001000000000000000
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0000000000000000000000000000000000000000000000100000000000000000 0000000000000000000000000000000000000000000000010000000000000000
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||||
0000000000000000000000000000000000000000000001000000000000000000 0000000000000000000000000000000000000000000000100000000000000000
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||||
0000000000000000000000000000000000000000000010000000000000000000 0000000000000000000000000000000000000000000001000000000000000000
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0000000000000000000000000000000000000000000100000000000000000000 0000000000000000000000000000000000000000000010000000000000000000
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0000000000000000000000000000000000000000001000000000000000000000 0000000000000000000000000000000000000000000100000000000000000000
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||||
0000000000000000000000000000000000000000010000000000000000000000 0000000000000000000000000000000000000000001000000000000000000000
|
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0000000000000000000000000000000000000000100000000000000000000000 0000000000000000000000000000000000000000010000000000000000000000
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0000000000000000000000000000000000000001000000000000000000000000 0000000000000000000000000000000000000000100000000000000000000000
|
||||
0000000000000000000000000000000000000010000000000000000000000000 0000000000000000000000000000000000000001000000000000000000000000
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0000000000000000000000000000000000000100000000000000000000000000 0000000000000000000000000000000000000010000000000000000000000000
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||||
0000000000000000000000000000000000001000000000000000000000000000 0000000000000000000000000000000000000100000000000000000000000000
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0000000000000000000000000000000000010000000000000000000000000000 0000000000000000000000000000000000001000000000000000000000000000
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0000000000000000000000000000000000100000000000000000000000000000 0000000000000000000000000000000000010000000000000000000000000000
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0000000000000000000000000000000001000000000000000000000000000000 0000000000000000000000000000000000100000000000000000000000000000
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||||
0000000000000000000000000000000010000000000000000000000000000000 0000000000000000000000000000000001000000000000000000000000000000
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0000000000000000000000000000000100000000000000000000000000000000 0000000000000000000000000000000010000000000000000000000000000000
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||||
0000000000000000000000000000001000000000000000000000000000000000 0000000000000000000000000000000100000000000000000000000000000000
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||||
0000000000000000000000000000010000000000000000000000000000000000 0000000000000000000000000000001000000000000000000000000000000000
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||||
0000000000000000000000000000100000000000000000000000000000000000 0000000000000000000000000000010000000000000000000000000000000000
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||||
0000000000000000000000000001000000000000000000000000000000000000 0000000000000000000000000000100000000000000000000000000000000000
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||||
0000000000000000000000000010000000000000000000000000000000000000 0000000000000000000000000001000000000000000000000000000000000000
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||||
0000000000000000000000000100000000000000000000000000000000000000 0000000000000000000000000010000000000000000000000000000000000000
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||||
0000000000000000000000001000000000000000000000000000000000000000 0000000000000000000000000100000000000000000000000000000000000000
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0000000000000000000000010000000000000000000000000000000000000000 0000000000000000000000001000000000000000000000000000000000000000
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||||
0000000000000000000000100000000000000000000000000000000000000000 0000000000000000000000010000000000000000000000000000000000000000
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0000000000000000000001000000000000000000000000000000000000000000 0000000000000000000000100000000000000000000000000000000000000000
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||||
0000000000000000000010000000000000000000000000000000000000000000 0000000000000000000001000000000000000000000000000000000000000000
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0000000000000000000100000000000000000000000000000000000000000000 0000000000000000000010000000000000000000000000000000000000000000
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0000000000000000001000000000000000000000000000000000000000000000 0000000000000000000100000000000000000000000000000000000000000000
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0000000000000000010000000000000000000000000000000000000000000000 0000000000000000001000000000000000000000000000000000000000000000
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||||
0000000000000000100000000000000000000000000000000000000000000000 0000000000000000010000000000000000000000000000000000000000000000
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0000000000000001000000000000000000000000000000000000000000000000 0000000000000000100000000000000000000000000000000000000000000000
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0000000000000010000000000000000000000000000000000000000000000000 0000000000000001000000000000000000000000000000000000000000000000
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0000000000000100000000000000000000000000000000000000000000000000 0000000000000010000000000000000000000000000000000000000000000000
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0000000000001000000000000000000000000000000000000000000000000000 0000000000000100000000000000000000000000000000000000000000000000
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0000000000010000000000000000000000000000000000000000000000000000 0000000000001000000000000000000000000000000000000000000000000000
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0000000000100000000000000000000000000000000000000000000000000000 0000000000010000000000000000000000000000000000000000000000000000
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0000000001000000000000000000000000000000000000000000000000000000 0000000000100000000000000000000000000000000000000000000000000000
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0000000010000000000000000000000000000000000000000000000000000000 0000000001000000000000000000000000000000000000000000000000000000
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0000000100000000000000000000000000000000000000000000000000000000 0000000010000000000000000000000000000000000000000000000000000000
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0000001000000000000000000000000000000000000000000000000000000000 0000000100000000000000000000000000000000000000000000000000000000
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0000010000000000000000000000000000000000000000000000000000000000 0000001000000000000000000000000000000000000000000000000000000000
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0000100000000000000000000000000000000000000000000000000000000000 0000010000000000000000000000000000000000000000000000000000000000
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0001000000000000000000000000000000000000000000000000000000000000 0000100000000000000000000000000000000000000000000000000000000000
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0010000000000000000000000000000000000000000000000000000000000000 0001000000000000000000000000000000000000000000000000000000000000
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0100000000000000000000000000000000000000000000000000000000000000 0010000000000000000000000000000000000000000000000000000000000000
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0111111111111111111111111111111111111111111111111111111111111111 1011111111111111111111111111111111111111111111111111111111111111
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------------------------------------------------------------------------
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-- RotR negative Int
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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000
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1111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111111111111111111111111111111111
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1111111111111111111111111111111111111111111111111111111111111110 0111111111111111111111111111111111111111111111111111111111111111
|
||||
1111111111111111111111111111111111111111111111111111111111111100 0111111111111111111111111111111111111111111111111111111111111110
|
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1111111111111111111111111111111111111111111111111111111111111000 0111111111111111111111111111111111111111111111111111111111111100
|
||||
1111111111111111111111111111111111111111111111111111111111110000 0111111111111111111111111111111111111111111111111111111111111000
|
||||
1111111111111111111111111111111111111111111111111111111111100000 0111111111111111111111111111111111111111111111111111111111110000
|
||||
1111111111111111111111111111111111111111111111111111111111000000 0111111111111111111111111111111111111111111111111111111111100000
|
||||
1111111111111111111111111111111111111111111111111111111110000000 0111111111111111111111111111111111111111111111111111111111000000
|
||||
1111111111111111111111111111111111111111111111111111111100000000 0111111111111111111111111111111111111111111111111111111110000000
|
||||
1111111111111111111111111111111111111111111111111111111000000000 0111111111111111111111111111111111111111111111111111111100000000
|
||||
1111111111111111111111111111111111111111111111111111110000000000 0111111111111111111111111111111111111111111111111111111000000000
|
||||
1111111111111111111111111111111111111111111111111111100000000000 0111111111111111111111111111111111111111111111111111110000000000
|
||||
1111111111111111111111111111111111111111111111111111000000000000 0111111111111111111111111111111111111111111111111111100000000000
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||||
1111111111111111111111111111111111111111111111111110000000000000 0111111111111111111111111111111111111111111111111111000000000000
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||||
1111111111111111111111111111111111111111111111111100000000000000 0111111111111111111111111111111111111111111111111110000000000000
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||||
1111111111111111111111111111111111111111111111111000000000000000 0111111111111111111111111111111111111111111111111100000000000000
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||||
1111111111111111111111111111111111111111111111110000000000000000 0111111111111111111111111111111111111111111111111000000000000000
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||||
1111111111111111111111111111111111111111111111100000000000000000 0111111111111111111111111111111111111111111111110000000000000000
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1111111111111111111111111111111111111111111111000000000000000000 0111111111111111111111111111111111111111111111100000000000000000
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1111111111111111111111111111111111111111111110000000000000000000 0111111111111111111111111111111111111111111111000000000000000000
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1111111111111111111111111111111111111111111100000000000000000000 0111111111111111111111111111111111111111111110000000000000000000
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1111111111111111111111111111111111111111111000000000000000000000 0111111111111111111111111111111111111111111100000000000000000000
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1111111111111111111111111111111111111111110000000000000000000000 0111111111111111111111111111111111111111111000000000000000000000
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1111111111111111111111111111111111111111100000000000000000000000 0111111111111111111111111111111111111111110000000000000000000000
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1111111111111111111111111111111111111111000000000000000000000000 0111111111111111111111111111111111111111100000000000000000000000
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1111111111111111111111111111111111111110000000000000000000000000 0111111111111111111111111111111111111111000000000000000000000000
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1111111111111111111111111111111111111100000000000000000000000000 0111111111111111111111111111111111111110000000000000000000000000
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1111111111111111111111111111111111111000000000000000000000000000 0111111111111111111111111111111111111100000000000000000000000000
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1111111111111111111111111111111111110000000000000000000000000000 0111111111111111111111111111111111111000000000000000000000000000
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1111111111111111111111111111111111100000000000000000000000000000 0111111111111111111111111111111111110000000000000000000000000000
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1111111111111111111111111111111111000000000000000000000000000000 0111111111111111111111111111111111100000000000000000000000000000
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1111111111111111111111111111111110000000000000000000000000000000 0111111111111111111111111111111111000000000000000000000000000000
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1111111111111111111111111111111100000000000000000000000000000000 0111111111111111111111111111111110000000000000000000000000000000
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1111111111111111111111111111111000000000000000000000000000000000 0111111111111111111111111111111100000000000000000000000000000000
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1111111111111111111111111111110000000000000000000000000000000000 0111111111111111111111111111111000000000000000000000000000000000
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1111111111111111111111111111100000000000000000000000000000000000 0111111111111111111111111111110000000000000000000000000000000000
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1111111111111111111111111111000000000000000000000000000000000000 0111111111111111111111111111100000000000000000000000000000000000
|
||||
1111111111111111111111111110000000000000000000000000000000000000 0111111111111111111111111111000000000000000000000000000000000000
|
||||
1111111111111111111111111100000000000000000000000000000000000000 0111111111111111111111111110000000000000000000000000000000000000
|
||||
1111111111111111111111111000000000000000000000000000000000000000 0111111111111111111111111100000000000000000000000000000000000000
|
||||
1111111111111111111111110000000000000000000000000000000000000000 0111111111111111111111111000000000000000000000000000000000000000
|
||||
1111111111111111111111100000000000000000000000000000000000000000 0111111111111111111111110000000000000000000000000000000000000000
|
||||
1111111111111111111111000000000000000000000000000000000000000000 0111111111111111111111100000000000000000000000000000000000000000
|
||||
1111111111111111111110000000000000000000000000000000000000000000 0111111111111111111111000000000000000000000000000000000000000000
|
||||
1111111111111111111100000000000000000000000000000000000000000000 0111111111111111111110000000000000000000000000000000000000000000
|
||||
1111111111111111111000000000000000000000000000000000000000000000 0111111111111111111100000000000000000000000000000000000000000000
|
||||
1111111111111111110000000000000000000000000000000000000000000000 0111111111111111111000000000000000000000000000000000000000000000
|
||||
1111111111111111100000000000000000000000000000000000000000000000 0111111111111111110000000000000000000000000000000000000000000000
|
||||
1111111111111111000000000000000000000000000000000000000000000000 0111111111111111100000000000000000000000000000000000000000000000
|
||||
1111111111111110000000000000000000000000000000000000000000000000 0111111111111111000000000000000000000000000000000000000000000000
|
||||
1111111111111100000000000000000000000000000000000000000000000000 0111111111111110000000000000000000000000000000000000000000000000
|
||||
1111111111111000000000000000000000000000000000000000000000000000 0111111111111100000000000000000000000000000000000000000000000000
|
||||
1111111111110000000000000000000000000000000000000000000000000000 0111111111111000000000000000000000000000000000000000000000000000
|
||||
1111111111100000000000000000000000000000000000000000000000000000 0111111111110000000000000000000000000000000000000000000000000000
|
||||
1111111111000000000000000000000000000000000000000000000000000000 0111111111100000000000000000000000000000000000000000000000000000
|
||||
1111111110000000000000000000000000000000000000000000000000000000 0111111111000000000000000000000000000000000000000000000000000000
|
||||
1111111100000000000000000000000000000000000000000000000000000000 0111111110000000000000000000000000000000000000000000000000000000
|
||||
1111111000000000000000000000000000000000000000000000000000000000 0111111100000000000000000000000000000000000000000000000000000000
|
||||
1111110000000000000000000000000000000000000000000000000000000000 0111111000000000000000000000000000000000000000000000000000000000
|
||||
1111100000000000000000000000000000000000000000000000000000000000 0111110000000000000000000000000000000000000000000000000000000000
|
||||
1111000000000000000000000000000000000000000000000000000000000000 0111100000000000000000000000000000000000000000000000000000000000
|
||||
1110000000000000000000000000000000000000000000000000000000000000 0111000000000000000000000000000000000000000000000000000000000000
|
||||
1100000000000000000000000000000000000000000000000000000000000000 0110000000000000000000000000000000000000000000000000000000000000
|
||||
1000000000000000000000000000000000000000000000000000000000000000 0100000000000000000000000000000000000000000000000000000000000000
|
||||
|
||||
|
||||
------------------------------------------------------------------------
|
||||
-- RotL Bits8
|
||||
00000000 00000000
|
||||
00000001 00000010
|
||||
00000010 00000100
|
||||
00000100 00001000
|
||||
00001000 00010000
|
||||
00010000 00100000
|
||||
00100000 01000000
|
||||
01000000 10000000
|
||||
10000000 00000001
|
||||
11111111 11111111
|
||||
|
||||
------------------------------------------------------------------------
|
||||
-- RotL Bits16
|
||||
0000000000000000 0000000000000000
|
||||
0000000000000001 0000000000000010
|
||||
0000000000000010 0000000000000100
|
||||
0000000000000100 0000000000001000
|
||||
0000000000001000 0000000000010000
|
||||
0000000000010000 0000000000100000
|
||||
0000000000100000 0000000001000000
|
||||
0000000001000000 0000000010000000
|
||||
0000000010000000 0000000100000000
|
||||
0000000100000000 0000001000000000
|
||||
0000001000000000 0000010000000000
|
||||
0000010000000000 0000100000000000
|
||||
0000100000000000 0001000000000000
|
||||
0001000000000000 0010000000000000
|
||||
0010000000000000 0100000000000000
|
||||
0100000000000000 1000000000000000
|
||||
1000000000000000 0000000000000001
|
||||
1111111111111111 1111111111111111
|
||||
|
||||
------------------------------------------------------------------------
|
||||
-- RotL Bits32
|
||||
00000000000000000000000000000000 00000000000000000000000000000000
|
||||
00000000000000000000000000000001 00000000000000000000000000000010
|
||||
00000000000000000000000000000010 00000000000000000000000000000100
|
||||
00000000000000000000000000000100 00000000000000000000000000001000
|
||||
00000000000000000000000000001000 00000000000000000000000000010000
|
||||
00000000000000000000000000010000 00000000000000000000000000100000
|
||||
00000000000000000000000000100000 00000000000000000000000001000000
|
||||
00000000000000000000000001000000 00000000000000000000000010000000
|
||||
00000000000000000000000010000000 00000000000000000000000100000000
|
||||
00000000000000000000000100000000 00000000000000000000001000000000
|
||||
00000000000000000000001000000000 00000000000000000000010000000000
|
||||
00000000000000000000010000000000 00000000000000000000100000000000
|
||||
00000000000000000000100000000000 00000000000000000001000000000000
|
||||
00000000000000000001000000000000 00000000000000000010000000000000
|
||||
00000000000000000010000000000000 00000000000000000100000000000000
|
||||
00000000000000000100000000000000 00000000000000001000000000000000
|
||||
00000000000000001000000000000000 00000000000000010000000000000000
|
||||
00000000000000010000000000000000 00000000000000100000000000000000
|
||||
00000000000000100000000000000000 00000000000001000000000000000000
|
||||
00000000000001000000000000000000 00000000000010000000000000000000
|
||||
00000000000010000000000000000000 00000000000100000000000000000000
|
||||
00000000000100000000000000000000 00000000001000000000000000000000
|
||||
00000000001000000000000000000000 00000000010000000000000000000000
|
||||
00000000010000000000000000000000 00000000100000000000000000000000
|
||||
00000000100000000000000000000000 00000001000000000000000000000000
|
||||
00000001000000000000000000000000 00000010000000000000000000000000
|
||||
00000010000000000000000000000000 00000100000000000000000000000000
|
||||
00000100000000000000000000000000 00001000000000000000000000000000
|
||||
00001000000000000000000000000000 00010000000000000000000000000000
|
||||
00010000000000000000000000000000 00100000000000000000000000000000
|
||||
00100000000000000000000000000000 01000000000000000000000000000000
|
||||
01000000000000000000000000000000 10000000000000000000000000000000
|
||||
10000000000000000000000000000000 00000000000000000000000000000001
|
||||
11111111111111111111111111111111 11111111111111111111111111111111
|
||||
|
||||
------------------------------------------------------------------------
|
||||
-- RotL Int
|
||||
0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000
|
||||
0000000000000000000000000000000000000000000000000000000000000001 0000000000000000000000000000000000000000000000000000000000000010
|
||||
0000000000000000000000000000000000000000000000000000000000000010 0000000000000000000000000000000000000000000000000000000000000100
|
||||
0000000000000000000000000000000000000000000000000000000000000100 0000000000000000000000000000000000000000000000000000000000001000
|
||||
0000000000000000000000000000000000000000000000000000000000001000 0000000000000000000000000000000000000000000000000000000000010000
|
||||
0000000000000000000000000000000000000000000000000000000000010000 0000000000000000000000000000000000000000000000000000000000100000
|
||||
0000000000000000000000000000000000000000000000000000000000100000 0000000000000000000000000000000000000000000000000000000001000000
|
||||
0000000000000000000000000000000000000000000000000000000001000000 0000000000000000000000000000000000000000000000000000000010000000
|
||||
0000000000000000000000000000000000000000000000000000000010000000 0000000000000000000000000000000000000000000000000000000100000000
|
||||
0000000000000000000000000000000000000000000000000000000100000000 0000000000000000000000000000000000000000000000000000001000000000
|
||||
0000000000000000000000000000000000000000000000000000001000000000 0000000000000000000000000000000000000000000000000000010000000000
|
||||
0000000000000000000000000000000000000000000000000000010000000000 0000000000000000000000000000000000000000000000000000100000000000
|
||||
0000000000000000000000000000000000000000000000000000100000000000 0000000000000000000000000000000000000000000000000001000000000000
|
||||
0000000000000000000000000000000000000000000000000001000000000000 0000000000000000000000000000000000000000000000000010000000000000
|
||||
0000000000000000000000000000000000000000000000000010000000000000 0000000000000000000000000000000000000000000000000100000000000000
|
||||
0000000000000000000000000000000000000000000000000100000000000000 0000000000000000000000000000000000000000000000001000000000000000
|
||||
0000000000000000000000000000000000000000000000001000000000000000 0000000000000000000000000000000000000000000000010000000000000000
|
||||
0000000000000000000000000000000000000000000000010000000000000000 0000000000000000000000000000000000000000000000100000000000000000
|
||||
0000000000000000000000000000000000000000000000100000000000000000 0000000000000000000000000000000000000000000001000000000000000000
|
||||
0000000000000000000000000000000000000000000001000000000000000000 0000000000000000000000000000000000000000000010000000000000000000
|
||||
0000000000000000000000000000000000000000000010000000000000000000 0000000000000000000000000000000000000000000100000000000000000000
|
||||
0000000000000000000000000000000000000000000100000000000000000000 0000000000000000000000000000000000000000001000000000000000000000
|
||||
0000000000000000000000000000000000000000001000000000000000000000 0000000000000000000000000000000000000000010000000000000000000000
|
||||
0000000000000000000000000000000000000000010000000000000000000000 0000000000000000000000000000000000000000100000000000000000000000
|
||||
0000000000000000000000000000000000000000100000000000000000000000 0000000000000000000000000000000000000001000000000000000000000000
|
||||
0000000000000000000000000000000000000001000000000000000000000000 0000000000000000000000000000000000000010000000000000000000000000
|
||||
0000000000000000000000000000000000000010000000000000000000000000 0000000000000000000000000000000000000100000000000000000000000000
|
||||
0000000000000000000000000000000000000100000000000000000000000000 0000000000000000000000000000000000001000000000000000000000000000
|
||||
0000000000000000000000000000000000001000000000000000000000000000 0000000000000000000000000000000000010000000000000000000000000000
|
||||
0000000000000000000000000000000000010000000000000000000000000000 0000000000000000000000000000000000100000000000000000000000000000
|
||||
0000000000000000000000000000000000100000000000000000000000000000 0000000000000000000000000000000001000000000000000000000000000000
|
||||
0000000000000000000000000000000001000000000000000000000000000000 0000000000000000000000000000000010000000000000000000000000000000
|
||||
0000000000000000000000000000000010000000000000000000000000000000 0000000000000000000000000000000100000000000000000000000000000000
|
||||
0000000000000000000000000000000100000000000000000000000000000000 0000000000000000000000000000001000000000000000000000000000000000
|
||||
0000000000000000000000000000001000000000000000000000000000000000 0000000000000000000000000000010000000000000000000000000000000000
|
||||
0000000000000000000000000000010000000000000000000000000000000000 0000000000000000000000000000100000000000000000000000000000000000
|
||||
0000000000000000000000000000100000000000000000000000000000000000 0000000000000000000000000001000000000000000000000000000000000000
|
||||
0000000000000000000000000001000000000000000000000000000000000000 0000000000000000000000000010000000000000000000000000000000000000
|
||||
0000000000000000000000000010000000000000000000000000000000000000 0000000000000000000000000100000000000000000000000000000000000000
|
||||
0000000000000000000000000100000000000000000000000000000000000000 0000000000000000000000001000000000000000000000000000000000000000
|
||||
0000000000000000000000001000000000000000000000000000000000000000 0000000000000000000000010000000000000000000000000000000000000000
|
||||
0000000000000000000000010000000000000000000000000000000000000000 0000000000000000000000100000000000000000000000000000000000000000
|
||||
0000000000000000000000100000000000000000000000000000000000000000 0000000000000000000001000000000000000000000000000000000000000000
|
||||
0000000000000000000001000000000000000000000000000000000000000000 0000000000000000000010000000000000000000000000000000000000000000
|
||||
0000000000000000000010000000000000000000000000000000000000000000 0000000000000000000100000000000000000000000000000000000000000000
|
||||
0000000000000000000100000000000000000000000000000000000000000000 0000000000000000001000000000000000000000000000000000000000000000
|
||||
0000000000000000001000000000000000000000000000000000000000000000 0000000000000000010000000000000000000000000000000000000000000000
|
||||
0000000000000000010000000000000000000000000000000000000000000000 0000000000000000100000000000000000000000000000000000000000000000
|
||||
0000000000000000100000000000000000000000000000000000000000000000 0000000000000001000000000000000000000000000000000000000000000000
|
||||
0000000000000001000000000000000000000000000000000000000000000000 0000000000000010000000000000000000000000000000000000000000000000
|
||||
0000000000000010000000000000000000000000000000000000000000000000 0000000000000100000000000000000000000000000000000000000000000000
|
||||
0000000000000100000000000000000000000000000000000000000000000000 0000000000001000000000000000000000000000000000000000000000000000
|
||||
0000000000001000000000000000000000000000000000000000000000000000 0000000000010000000000000000000000000000000000000000000000000000
|
||||
0000000000010000000000000000000000000000000000000000000000000000 0000000000100000000000000000000000000000000000000000000000000000
|
||||
0000000000100000000000000000000000000000000000000000000000000000 0000000001000000000000000000000000000000000000000000000000000000
|
||||
0000000001000000000000000000000000000000000000000000000000000000 0000000010000000000000000000000000000000000000000000000000000000
|
||||
0000000010000000000000000000000000000000000000000000000000000000 0000000100000000000000000000000000000000000000000000000000000000
|
||||
0000000100000000000000000000000000000000000000000000000000000000 0000001000000000000000000000000000000000000000000000000000000000
|
||||
0000001000000000000000000000000000000000000000000000000000000000 0000010000000000000000000000000000000000000000000000000000000000
|
||||
0000010000000000000000000000000000000000000000000000000000000000 0000100000000000000000000000000000000000000000000000000000000000
|
||||
0000100000000000000000000000000000000000000000000000000000000000 0001000000000000000000000000000000000000000000000000000000000000
|
||||
0001000000000000000000000000000000000000000000000000000000000000 0010000000000000000000000000000000000000000000000000000000000000
|
||||
0010000000000000000000000000000000000000000000000000000000000000 0100000000000000000000000000000000000000000000000000000000000000
|
||||
0100000000000000000000000000000000000000000000000000000000000000 1000000000000000000000000000000000000000000000000000000000000000
|
||||
0111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111111111111111111111111111111110
|
||||
|
||||
------------------------------------------------------------------------
|
||||
-- RotL negative Int
|
||||
0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000
|
||||
1111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111111111111111111111111111111111
|
||||
1111111111111111111111111111111111111111111111111111111111111110 1111111111111111111111111111111111111111111111111111111111111101
|
||||
1111111111111111111111111111111111111111111111111111111111111100 1111111111111111111111111111111111111111111111111111111111111001
|
||||
1111111111111111111111111111111111111111111111111111111111111000 1111111111111111111111111111111111111111111111111111111111110001
|
||||
1111111111111111111111111111111111111111111111111111111111110000 1111111111111111111111111111111111111111111111111111111111100001
|
||||
1111111111111111111111111111111111111111111111111111111111100000 1111111111111111111111111111111111111111111111111111111111000001
|
||||
1111111111111111111111111111111111111111111111111111111111000000 1111111111111111111111111111111111111111111111111111111110000001
|
||||
1111111111111111111111111111111111111111111111111111111110000000 1111111111111111111111111111111111111111111111111111111100000001
|
||||
1111111111111111111111111111111111111111111111111111111100000000 1111111111111111111111111111111111111111111111111111111000000001
|
||||
1111111111111111111111111111111111111111111111111111111000000000 1111111111111111111111111111111111111111111111111111110000000001
|
||||
1111111111111111111111111111111111111111111111111111110000000000 1111111111111111111111111111111111111111111111111111100000000001
|
||||
1111111111111111111111111111111111111111111111111111100000000000 1111111111111111111111111111111111111111111111111111000000000001
|
||||
1111111111111111111111111111111111111111111111111111000000000000 1111111111111111111111111111111111111111111111111110000000000001
|
||||
1111111111111111111111111111111111111111111111111110000000000000 1111111111111111111111111111111111111111111111111100000000000001
|
||||
1111111111111111111111111111111111111111111111111100000000000000 1111111111111111111111111111111111111111111111111000000000000001
|
||||
1111111111111111111111111111111111111111111111111000000000000000 1111111111111111111111111111111111111111111111110000000000000001
|
||||
1111111111111111111111111111111111111111111111110000000000000000 1111111111111111111111111111111111111111111111100000000000000001
|
||||
1111111111111111111111111111111111111111111111100000000000000000 1111111111111111111111111111111111111111111111000000000000000001
|
||||
1111111111111111111111111111111111111111111111000000000000000000 1111111111111111111111111111111111111111111110000000000000000001
|
||||
1111111111111111111111111111111111111111111110000000000000000000 1111111111111111111111111111111111111111111100000000000000000001
|
||||
1111111111111111111111111111111111111111111100000000000000000000 1111111111111111111111111111111111111111111000000000000000000001
|
||||
1111111111111111111111111111111111111111111000000000000000000000 1111111111111111111111111111111111111111110000000000000000000001
|
||||
1111111111111111111111111111111111111111110000000000000000000000 1111111111111111111111111111111111111111100000000000000000000001
|
||||
1111111111111111111111111111111111111111100000000000000000000000 1111111111111111111111111111111111111111000000000000000000000001
|
||||
1111111111111111111111111111111111111111000000000000000000000000 1111111111111111111111111111111111111110000000000000000000000001
|
||||
1111111111111111111111111111111111111110000000000000000000000000 1111111111111111111111111111111111111100000000000000000000000001
|
||||
1111111111111111111111111111111111111100000000000000000000000000 1111111111111111111111111111111111111000000000000000000000000001
|
||||
1111111111111111111111111111111111111000000000000000000000000000 1111111111111111111111111111111111110000000000000000000000000001
|
||||
1111111111111111111111111111111111110000000000000000000000000000 1111111111111111111111111111111111100000000000000000000000000001
|
||||
1111111111111111111111111111111111100000000000000000000000000000 1111111111111111111111111111111111000000000000000000000000000001
|
||||
1111111111111111111111111111111111000000000000000000000000000000 1111111111111111111111111111111110000000000000000000000000000001
|
||||
1111111111111111111111111111111110000000000000000000000000000000 1111111111111111111111111111111100000000000000000000000000000001
|
||||
1111111111111111111111111111111100000000000000000000000000000000 1111111111111111111111111111111000000000000000000000000000000001
|
||||
1111111111111111111111111111111000000000000000000000000000000000 1111111111111111111111111111110000000000000000000000000000000001
|
||||
1111111111111111111111111111110000000000000000000000000000000000 1111111111111111111111111111100000000000000000000000000000000001
|
||||
1111111111111111111111111111100000000000000000000000000000000000 1111111111111111111111111111000000000000000000000000000000000001
|
||||
1111111111111111111111111111000000000000000000000000000000000000 1111111111111111111111111110000000000000000000000000000000000001
|
||||
1111111111111111111111111110000000000000000000000000000000000000 1111111111111111111111111100000000000000000000000000000000000001
|
||||
1111111111111111111111111100000000000000000000000000000000000000 1111111111111111111111111000000000000000000000000000000000000001
|
||||
1111111111111111111111111000000000000000000000000000000000000000 1111111111111111111111110000000000000000000000000000000000000001
|
||||
1111111111111111111111110000000000000000000000000000000000000000 1111111111111111111111100000000000000000000000000000000000000001
|
||||
1111111111111111111111100000000000000000000000000000000000000000 1111111111111111111111000000000000000000000000000000000000000001
|
||||
1111111111111111111111000000000000000000000000000000000000000000 1111111111111111111110000000000000000000000000000000000000000001
|
||||
1111111111111111111110000000000000000000000000000000000000000000 1111111111111111111100000000000000000000000000000000000000000001
|
||||
1111111111111111111100000000000000000000000000000000000000000000 1111111111111111111000000000000000000000000000000000000000000001
|
||||
1111111111111111111000000000000000000000000000000000000000000000 1111111111111111110000000000000000000000000000000000000000000001
|
||||
1111111111111111110000000000000000000000000000000000000000000000 1111111111111111100000000000000000000000000000000000000000000001
|
||||
1111111111111111100000000000000000000000000000000000000000000000 1111111111111111000000000000000000000000000000000000000000000001
|
||||
1111111111111111000000000000000000000000000000000000000000000000 1111111111111110000000000000000000000000000000000000000000000001
|
||||
1111111111111110000000000000000000000000000000000000000000000000 1111111111111100000000000000000000000000000000000000000000000001
|
||||
1111111111111100000000000000000000000000000000000000000000000000 1111111111111000000000000000000000000000000000000000000000000001
|
||||
1111111111111000000000000000000000000000000000000000000000000000 1111111111110000000000000000000000000000000000000000000000000001
|
||||
1111111111110000000000000000000000000000000000000000000000000000 1111111111100000000000000000000000000000000000000000000000000001
|
||||
1111111111100000000000000000000000000000000000000000000000000000 1111111111000000000000000000000000000000000000000000000000000001
|
||||
1111111111000000000000000000000000000000000000000000000000000000 1111111110000000000000000000000000000000000000000000000000000001
|
||||
1111111110000000000000000000000000000000000000000000000000000000 1111111100000000000000000000000000000000000000000000000000000001
|
||||
1111111100000000000000000000000000000000000000000000000000000000 1111111000000000000000000000000000000000000000000000000000000001
|
||||
1111111000000000000000000000000000000000000000000000000000000000 1111110000000000000000000000000000000000000000000000000000000001
|
||||
1111110000000000000000000000000000000000000000000000000000000000 1111100000000000000000000000000000000000000000000000000000000001
|
||||
1111100000000000000000000000000000000000000000000000000000000000 1111000000000000000000000000000000000000000000000000000000000001
|
||||
1111000000000000000000000000000000000000000000000000000000000000 1110000000000000000000000000000000000000000000000000000000000001
|
||||
1110000000000000000000000000000000000000000000000000000000000000 1100000000000000000000000000000000000000000000000000000000000001
|
||||
1000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000001
|
||||
|
||||
Main> Bye for now!
|
2
tests/base/data_bits002/input
Normal file
2
tests/base/data_bits002/input
Normal file
@ -0,0 +1,2 @@
|
||||
:exec main
|
||||
:q
|
4
tests/base/data_bits002/run
Executable file
4
tests/base/data_bits002/run
Executable file
@ -0,0 +1,4 @@
|
||||
rm -rf build
|
||||
|
||||
$1 --no-banner --no-color --console-width 0 BitRotate.idr < input
|
||||
|
Loading…
Reference in New Issue
Block a user