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(.module:
[lux (#- and or not false true)
[abstract
[equivalence (#+ Equivalence)]
[hash (#+ Hash)]
[monoid (#+ Monoid)]]
[data
[number
["n" nat]]]])
(def: #export bits-per-byte
8)
(def: #export bytes-per-i64
8)
(def: #export width
Nat
(n.* ..bits-per-byte
..bytes-per-i64))
(template [<parameter-type> <name> <op> <doc>]
[(def: #export (<name> parameter subject)
{#.doc <doc>}
(All [s] (-> <parameter-type> (I64 s) (I64 s)))
(<op> parameter subject))]
[(I64 Any) and "lux i64 and" "Bitwise and."]
[(I64 Any) or "lux i64 or" "Bitwise or."]
[(I64 Any) xor "lux i64 xor" "Bitwise xor."]
[Nat left-shift "lux i64 left-shift" "Bitwise left-shift."]
[Nat logic-right-shift "lux i64 logical-right-shift" "Unsigned bitwise logic-right-shift."]
[Nat arithmetic-right-shift "lux i64 arithmetic-right-shift" "Signed bitwise arithmetic-right-shift."]
)
(def: #export not
{#.doc "Bitwise negation."}
(All [s] (-> (I64 s) (I64 s)))
(xor (:coerce I64 -1)))
(type: #export Mask
I64)
(def: #export false
Mask
(.i64 0))
(def: #export true
Mask
(..not ..false))
(def: #export (mask amount-of-bits)
(-> Nat Mask)
(case amount-of-bits
0 ..false
bits (case (n.% ..width bits)
0 ..true
bits (|> 1 .i64 (..left-shift (n.% ..width bits)) .dec))))
(def: #export (bit position)
(-> Nat Mask)
(|> 1 .i64 (..left-shift (n.% ..width position))))
(def: #export sign
Mask
(..bit 63))
(def: (add-shift shift value)
(-> Nat Nat Nat)
(|> value (logic-right-shift shift) (n.+ value)))
(def: #export (count subject)
{#.doc "Count the number of 1s in a bit-map."}
(-> (I64 Any) Nat)
(let [count' (n.- (|> subject (logic-right-shift 1) (..and 6148914691236517205) i64)
(i64 subject))]
(|> count'
(logic-right-shift 2) (..and 3689348814741910323) (n.+ (..and 3689348814741910323 count'))
(add-shift 4) (..and 1085102592571150095)
(add-shift 8)
(add-shift 16)
(add-shift 32)
(..and 127))))
(def: #export (clear idx input)
{#.doc "Clear bit at given index."}
(All [s] (-> Nat (I64 s) (I64 s)))
(|> idx ..bit ..not (..and input)))
(template [<name> <op> <doc>]
[(def: #export (<name> idx input)
{#.doc <doc>}
(All [s] (-> Nat (I64 s) (I64 s)))
(|> idx ..bit (<op> input)))]
[set ..or "Set bit at given index."]
[flip ..xor "Flip bit at given index."]
)
(def: #export (set? idx input)
(-> Nat (I64 Any) Bit)
(|> input (:coerce I64) (..and (..bit idx)) (n.= 0) .not))
(template [<name> <main> <comp>]
[(def: #export (<name> distance input)
(All [s] (-> Nat (I64 s) (I64 s)))
(let [backwards-distance (n.- (n.% width distance) width)]
(|> input
(<comp> backwards-distance)
(..or (<main> distance input)))))]
[rotate-left left-shift logic-right-shift]
[rotate-right logic-right-shift left-shift]
)
(def: #export (region size offset)
(-> Nat Nat I64)
(|> 1 (:coerce I64) (left-shift size) dec (left-shift offset)))
(structure: #export equivalence
(All [a] (Equivalence (I64 a)))
(def: (= parameter subject)
("lux i64 =" parameter subject)))
(structure: #export hash
(All [a] (Hash (I64 a)))
(def: &equivalence ..equivalence)
(def: hash .nat))
(template [<monoid> <identity> <compose>]
[(structure: #export <monoid>
(All [a] (Monoid (I64 a)))
(def: identity <identity>)
(def: compose <compose>)
)]
[disjunction ..false ..or]
[conjunction ..true ..and]
)
(type: #export (Sub size)
{#narrow (-> I64 (I64 size))
#wide (-> (I64 size) I64)
#equivalence (Equivalence (I64 size))})
(def: #export (sub width)
(Ex [size] (-> Nat (Maybe (Sub size))))
(if (.and (n.> 0 width)
(n.< ..width width))
(let [top (dec width)
shift (n.- width ..width)
sign (..bit top)
number (..mask (dec width))]
(#.Some {#narrow (function (narrow value)
(..or (|> value (..and ..sign) (..logic-right-shift shift))
(|> value (..and number))))
#wide (function (wide value)
(|> (..or (|> value (..and sign) (..left-shift shift))
(|> value (..clear top)))
.i64))
#equivalence ..equivalence}))
#.None))
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