Initial data commit

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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
199087 changed files with 3378941 additions and 0 deletions

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use AppleScript version "2.4"
use framework "Foundation"
use scripting additions
-- BIT OPERATIONS FOR APPLESCRIPT (VIA JAVASCRIPT FOR AUTOMATION)
-- bitAND :: Int -> Int -> Int
on bitAND(x, y)
jsOp2("&", x, y)
end bitAND
-- bitOR :: Int -> Int -> Int
on bitOR(x, y)
jsOp2("|", x, y)
end bitOR
-- bitXOr :: Int -> Int -> Int
on bitXOR(x, y)
jsOp2("^", x, y)
end bitXOR
-- bitNOT :: Int -> Int
on bitNOT(x)
jsOp1("~", x)
end bitNOT
-- (<<) :: Int -> Int -> Int
on |<<|(x, y)
if 31 < y then
0
else
jsOp2("<<", x, y)
end if
end |<<|
-- Logical right shift
-- (>>>) :: Int -> Int -> Int
on |>>>|(x, y)
jsOp2(">>>", x, y)
end |>>>|
-- Arithmetic right shift
-- (>>) :: Int -> Int -> Int
on |>>|(x, y)
jsOp2(">>", x, y)
end |>>|
-- TEST ----------------------------------------------------------
on run
-- Using an ObjC interface to Javascript for Automation
set strClip to bitWise(255, 170)
set the clipboard to strClip
strClip
end run
-- bitWise :: Int -> Int -> String
on bitWise(a, b)
set labels to {"a AND b", "a OR b", "a XOR b", "NOT a", ¬
"a << b", "a >>> b", "a >> b"}
set xs to {bitAND(a, b), bitOR(a, b), bitXOR(a, b), bitNOT(a), ¬
|<<|(a, b), |>>>|(a, b), |>>|(a, b)}
script asBin
property arrow : " -> "
on |λ|(x, y)
justifyRight(8, space, x) & arrow & ¬
justifyRight(14, space, y as text) & arrow & showBinary(y)
end |λ|
end script
unlines({"32 bit signed integers (in two's complement binary encoding)", "", ¬
unlines(zipWith(asBin, ¬
{"a = " & a as text, "b = " & b as text}, {a, b})), "", ¬
unlines(zipWith(asBin, labels, xs))})
end bitWise
-- CONVERSIONS AND DISPLAY
-- bitsFromInt :: Int -> Either String [Bool]
on bitsFromIntLR(x)
script go
on |λ|(n, d, bools)
set xs to {0 d} & bools
if n > 0 then
|λ|(n div 2, n mod 2, xs)
else
xs
end if
end |λ|
end script
set a to abs(x)
if (2.147483647E+9) < a then
|Left|("Integer overflow maximum is (2 ^ 31) - 1")
else
set bs to go's |λ|(a div 2, a mod 2, {})
if 0 > x then
|Right|(replicate(32 - (length of bs), true) & ¬
binSucc(map(my |not|, bs)))
else
set bs to go's |λ|(a div 2, a mod 2, {})
|Right|(replicate(32 - (length of bs), false) & bs)
end if
end if
end bitsFromIntLR
-- Successor function (+1) for unsigned binary integer
-- binSucc :: [Bool] -> [Bool]
on binSucc(bs)
script succ
on |λ|(a, x)
if a then
if x then
Tuple(a, false)
else
Tuple(x, true)
end if
else
Tuple(a, x)
end if
end |λ|
end script
set tpl to mapAccumR(succ, true, bs)
if |1| of tpl then
{true} & |2| of tpl
else
|2| of tpl
end if
end binSucc
-- showBinary :: Int -> String
on showBinary(x)
script showBin
on |λ|(xs)
script bChar
on |λ|(b)
if b then
"1"
else
"0"
end if
end |λ|
end script
map(bChar, xs)
end |λ|
end script
bindLR(my bitsFromIntLR(x), showBin)
end showBinary
-- JXA ------------------------------------------------------------------
--jsOp2 :: String -> a -> b -> c
on jsOp2(strOp, a, b)
bindLR(evalJSLR(unwords({a as text, strOp, b as text})), my |id|) as integer
end jsOp2
--jsOp2 :: String -> a -> b
on jsOp1(strOp, a)
bindLR(evalJSLR(unwords({strOp, a as text})), my |id|) as integer
end jsOp1
-- evalJSLR :: String -> Either String a
on evalJSLR(strJS)
try -- NB if gJSC is global it must be released
-- (e.g. set to null) at end of script
gJSC's evaluateScript
on error
set gJSC to current application's JSContext's new()
log ("new JSC")
end try
set v to unwrap((gJSC's evaluateScript:(strJS))'s toObject())
if v is missing value then
|Left|("JS evaluation error")
else
|Right|(v)
end if
end evalJSLR
-- GENERIC FUNCTIONS --------------------------------------------------
-- Left :: a -> Either a b
on |Left|(x)
{type:"Either", |Left|:x, |Right|:missing value}
end |Left|
-- Right :: b -> Either a b
on |Right|(x)
{type:"Either", |Left|:missing value, |Right|:x}
end |Right|
-- Tuple (,) :: a -> b -> (a, b)
on Tuple(a, b)
{type:"Tuple", |1|:a, |2|:b, length:2}
end Tuple
-- Absolute value.
-- abs :: Num -> Num
on abs(x)
if 0 > x then
-x
else
x
end if
end abs
-- bindLR (>>=) :: Either a -> (a -> Either b) -> Either b
on bindLR(m, mf)
if missing value is not |Right| of m then
mReturn(mf)'s |λ|(|Right| of m)
else
m
end if
end bindLR
-- foldr :: (a -> b -> b) -> b -> [a] -> b
on foldr(f, startValue, xs)
tell mReturn(f)
set v to startValue
set lng to length of xs
repeat with i from lng to 1 by -1
set v to |λ|(item i of xs, v, i, xs)
end repeat
return v
end tell
end foldr
-- id :: a -> a
on |id|(x)
x
end |id|
-- justifyRight :: Int -> Char -> String -> String
on justifyRight(n, cFiller, strText)
if n > length of strText then
text -n thru -1 of ((replicate(n, cFiller) as text) & strText)
else
strText
end if
end justifyRight
-- map :: (a -> b) -> [a] -> [b]
on map(f, xs)
tell mReturn(f)
set lng to length of xs
set lst to {}
repeat with i from 1 to lng
set end of lst to |λ|(item i of xs, i, xs)
end repeat
return lst
end tell
end map
-- 'The mapAccumR function behaves like a combination of map and foldr;
-- it applies a function to each element of a list, passing an accumulating
-- parameter from |Right| to |Left|, and returning a final value of this
-- accumulator together with the new list.' (see Hoogle)
-- mapAccumR :: (acc -> x -> (acc, y)) -> acc -> [x] -> (acc, [y])
on mapAccumR(f, acc, xs)
script
on |λ|(x, a, i)
tell mReturn(f) to set pair to |λ|(|1| of a, x, i)
Tuple(|1| of pair, (|2| of pair) & |2| of a)
end |λ|
end script
foldr(result, Tuple(acc, []), xs)
end mapAccumR
-- min :: Ord a => a -> a -> a
on min(x, y)
if y < x then
y
else
x
end if
end min
-- Lift 2nd class handler function into 1st class script wrapper
-- mReturn :: First-class m => (a -> b) -> m (a -> b)
on mReturn(f)
if class of f is script then
f
else
script
property |λ| : f
end script
end if
end mReturn
-- not :: Bool -> Bool
on |not|(p)
not p
end |not|
-- Egyptian multiplication - progressively doubling a list, appending
-- stages of doubling to an accumulator where needed for binary
-- assembly of a target length
-- replicate :: Int -> a -> [a]
on replicate(n, a)
set out to {}
if n < 1 then return out
set dbl to {a}
repeat while (n > 1)
if (n mod 2) > 0 then set out to out & dbl
set n to (n div 2)
set dbl to (dbl & dbl)
end repeat
return out & dbl
end replicate
-- unlines :: [String] -> String
on unlines(xs)
set {dlm, my text item delimiters} to ¬
{my text item delimiters, linefeed}
set str to xs as text
set my text item delimiters to dlm
str
end unlines
-- unwords :: [String] -> String
on unwords(xs)
set {dlm, my text item delimiters} to {my text item delimiters, space}
set s to xs as text
set my text item delimiters to dlm
return s
end unwords
-- unwrap :: NSObject -> a
on unwrap(objCValue)
if objCValue is missing value then
missing value
else
set ca to current application
item 1 of ((ca's NSArray's arrayWithObject:objCValue) as list)
end if
end unwrap
-- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
on zipWith(f, xs, ys)
set lng to min(length of xs, length of ys)
if 1 > lng then return {}
set lst to {}
tell mReturn(f)
repeat with i from 1 to lng
set end of lst to |λ|(item i of xs, item i of ys)
end repeat
return lst
end tell
end zipWith

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use AppleScript version "2.4"
use framework "Foundation"
use scripting additions
-- BITWISE OPERATIONS FOR APPLESCRIPT ---------------------------------------
-- bitAND :: Int -> Int -> Int
on bitAND(x, y)
bitOp2(my |and|, x, y)
end bitAND
-- bitOR :: Int -> Int -> Int
on bitOR(x, y)
bitOp2(my |or|, x, y)
end bitOR
-- bitXOr :: Int -> Int -> Int
on bitXOR(x, y)
bitOp2(my xor, x, y)
end bitXOR
-- bitNOT :: Int -> Int
on bitNOT(x)
script notBits
on |λ|(xs)
bindLR(intFromBitsLR(map(my |not|, xs)), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(x), notBits)
end bitNOT
-- (<<) :: Int -> Int -> Int
on |<<|(a, b)
script logicLshift
on |λ|(bs)
bindLR(intFromBitsLR(take(32, drop(b, bs) & replicate(b, false))), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(a), logicLshift)
end |<<|
-- Logical right shift
-- (>>>) :: Int -> Int -> Int
on |>>>|(a, b)
script logicRShift
on |λ|(bs)
bindLR(intFromBitsLR(take(32, replicate(b, false) & drop(b, bs))), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(a), logicRShift)
end |>>>|
-- Arithmetic right shift
-- (>>) :: Int -> Int -> Int
on |>>|(a, b)
script arithRShift
on |λ|(bs)
if 0 < length of bs then
set sign to item 1 of bs
else
set sign to false
end if
bindLR(intFromBitsLR(take(32, replicate(b, sign) & drop(b, bs))), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(a), arithRShift)
end |>>|
-- bitRotL :: Int -> Int -> Int
on bitRotL(a, b)
script lRot
on |λ|(bs)
bindLR(intFromBitsLR(rotate(-b, bs)), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(a), lRot)
end bitRotL
-- bitRotR :: Int -> Int -> Int
on bitRotR(a, b)
script rRot
on |λ|(bs)
bindLR(intFromBitsLR(rotate(b, bs)), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(a), rRot)
end bitRotR
-- TEST ---------------------------------------------------------------
-- bitWise :: Int -> Int -> String
on bitWise(a, b)
set labels to {"a AND b", "a OR b", "a XOR b", "NOT a", ¬
"a << b", "a >>> b", "a >> b", "ROTL a b", "ROTR a b"}
set xs to {bitAND(a, b), bitOR(a, b), bitXOR(a, b), bitNOT(a), ¬
|<<|(a, b), |>>>|(a, b), |>>|(a, b), bitRotL(a, b), bitRotR(a, b)}
script asBin
property arrow : " -> "
on |λ|(x, y)
justifyRight(8, space, x) & arrow & ¬
justifyRight(14, space, y as text) & arrow & showBinary(y)
end |λ|
end script
unlines({"32 bit signed integers (in two's complement binary encoding)", "", ¬
unlines(zipWith(asBin, ¬
{"a = " & a as text, "b = " & b as text}, {a, b})), "", ¬
unlines(zipWith(asBin, labels, xs))})
end bitWise
on run
-- Assuming 32 bit signed integers (in two's complement binary encoding)
set strClip to bitWise(255, 170)
set the clipboard to strClip
strClip
end run
-- BINARY INTEGER CONVERSIONS AND DISPLAY ------------------------------------------------------------------
-- bitsFromInt :: Int -> Either String [Bool]
on bitsFromIntLR(x)
script go
on |λ|(n, d, bools)
set xs to {0 d} & bools
if n > 0 then
|λ|(n div 2, n mod 2, xs)
else
xs
end if
end |λ|
end script
set a to abs(x)
if (2.147483647E+9) < a then
|Left|("Integer overflow maximum is (2 ^ 31) - 1")
else
set bs to go's |λ|(a div 2, a mod 2, {})
if 0 > x then
|Right|(replicate(32 - (length of bs), true) & ¬
binSucc(map(my |not|, bs)))
else
set bs to go's |λ|(a div 2, a mod 2, {})
|Right|(replicate(32 - (length of bs), false) & bs)
end if
end if
end bitsFromIntLR
-- intFromBitsLR :: [Bool] -> Either String Int
on intFromBitsLR(xs)
script bitSum
on |λ|(x, a, i)
if x then
a + (2 ^ (31 - i))
else
a
end if
end |λ|
end script
set lngBits to length of xs
if 32 < lngBits then
|Left|("Applescript limited to signed 32 bit integers")
else if 1 > lngBits then
|Right|(0 as integer)
else
set bits to (rest of xs)
if item 1 of xs then
|Right|(0 - foldr(bitSum, 1, map(my |not|, bits)) as integer)
else
|Right|(foldr(bitSum, 0, bits) as integer)
end if
end if
end intFromBitsLR
-- showBinary :: Int -> String
on showBinary(x)
script showBin
on |λ|(xs)
script bChar
on |λ|(b)
if b then
"1"
else
"0"
end if
end |λ|
end script
map(bChar, xs)
end |λ|
end script
bindLR(my bitsFromIntLR(x), showBin)
end showBinary
-- bitOp2 :: ((Bool -> Bool -> Bool) -> Int -> Int -> Int
on bitOp2(f, x, y)
script yBits
on |λ|(bitX)
script zipOp
on |λ|(bitY)
bitZipWithLR(f, bitX, bitY)
end |λ|
end script
bindLR(bindLR(bindLR(bitsFromIntLR(y), ¬
zipOp), my intFromBitsLR), my |id|)
end |λ|
end script
bindLR(bitsFromIntLR(x), yBits)
end bitOp2
-- bitZipWithLR :: ((a, b) -> c ) -> [Bool] -> [Bool] -> Either String [(Bool, Bool)]
on bitZipWithLR(f, xs, ys)
set intX to length of xs
set intY to length of ys
set intMax to max(intX, intY)
if 33 > intMax then
if intX > intY then
set {bxs, bys} to {xs, ys & replicate(intX - intY, false)}
else
set {bxs, bys} to {xs & replicate(intY - intX, false), ys}
end if
tell mReturn(f)
set lst to {}
repeat with i from 1 to intMax
set end of lst to |λ|(item i of bxs, item i of bys)
end repeat
return |Right|(lst)
end tell
else
|Left|("Above maximum of 32 bits")
end if
end bitZipWithLR
-- Successor function (+1) for unsigned binary integer
-- binSucc :: [Bool] -> [Bool]
on binSucc(bs)
script succ
on |λ|(a, x)
if a then
if x then
Tuple(a, false)
else
Tuple(x, true)
end if
else
Tuple(a, x)
end if
end |λ|
end script
set tpl to mapAccumR(succ, true, bs)
if |1| of tpl then
{true} & |2| of tpl
else
|2| of tpl
end if
end binSucc
-- BOOLEANS ----------------------------------------------------
-- |or| :: Bool -> Bool -> Bool
on |or|(x, y)
x or y
end |or|
-- |and| :: Bool -> Bool -> Bool
on |and|(x, y)
x and y
end |and|
-- xor :: Bool -> Bool -> Bool
on xor(x, y)
(x or y) and not (x and y)
end xor
-- not :: Bool -> Bool
on |not|(p)
not p
end |not|
-- GENERAL ----------------------------------------------------
-- Right :: b -> Either a b
on |Right|(x)
{type:"Either", |Left|:missing value, |Right|:x}
end |Right|
-- Left :: a -> Either a b
on |Left|(x)
{type:"Either", |Left|:x, |Right|:missing value}
end |Left|
-- Tuple (,) :: a -> b -> (a, b)
on Tuple(a, b)
{type:"Tuple", |1|:a, |2|:b, length:2}
end Tuple
-- Absolute value.
-- abs :: Num -> Num
on abs(x)
if 0 > x then
-x
else
x
end if
end abs
-- bindLR (>>=) :: Either a -> (a -> Either b) -> Either b
on bindLR(m, mf)
if missing value is not |Right| of m then
mReturn(mf)'s |λ|(|Right| of m)
else
m
end if
end bindLR
-- drop :: Int -> [a] -> [a]
-- drop :: Int -> String -> String
on drop(n, xs)
if class of xs is not string then
if n < length of xs then
items (1 + n) thru -1 of xs
else
{}
end if
else
if n < length of xs then
text (1 + n) thru -1 of xs
else
""
end if
end if
end drop
-- foldr :: (a -> b -> b) -> b -> [a] -> b
on foldr(f, startValue, xs)
tell mReturn(f)
set v to startValue
set lng to length of xs
repeat with i from lng to 1 by -1
set v to |λ|(item i of xs, v, i, xs)
end repeat
return v
end tell
end foldr
-- id :: a -> a
on |id|(x)
x
end |id|
-- justifyRight :: Int -> Char -> String -> String
on justifyRight(n, cFiller, strText)
if n > length of strText then
text -n thru -1 of ((replicate(n, cFiller) as text) & strText)
else
strText
end if
end justifyRight
-- map :: (a -> b) -> [a] -> [b]
on map(f, xs)
tell mReturn(f)
set lng to length of xs
set lst to {}
repeat with i from 1 to lng
set end of lst to |λ|(item i of xs, i, xs)
end repeat
return lst
end tell
end map
-- 'The mapAccumR function behaves like a combination of map and foldr;
-- it applies a function to each element of a list, passing an accumulating
-- parameter from |Right| to |Left|, and returning a final value of this
-- accumulator together with the new list.' (see Hoogle)
-- mapAccumR :: (acc -> x -> (acc, y)) -> acc -> [x] -> (acc, [y])
on mapAccumR(f, acc, xs)
script
on |λ|(x, a, i)
tell mReturn(f) to set pair to |λ|(|1| of a, x, i)
Tuple(|1| of pair, (|2| of pair) & |2| of a)
end |λ|
end script
foldr(result, Tuple(acc, []), xs)
end mapAccumR
-- max :: Ord a => a -> a -> a
on max(x, y)
if x > y then
x
else
y
end if
end max
-- min :: Ord a => a -> a -> a
on min(x, y)
if y < x then
y
else
x
end if
end min
-- Lift 2nd class handler function into 1st class script wrapper
-- mReturn :: First-class m => (a -> b) -> m (a -> b)
on mReturn(f)
if class of f is script then
f
else
script
property |λ| : f
end script
end if
end mReturn
-- Egyptian multiplication - progressively doubling a list, appending
-- stages of doubling to an accumulator where needed for binary
-- assembly of a target length
-- replicate :: Int -> a -> [a]
on replicate(n, a)
set out to {}
if n < 1 then return out
set dbl to {a}
repeat while (n > 1)
if (n mod 2) > 0 then set out to out & dbl
set n to (n div 2)
set dbl to (dbl & dbl)
end repeat
return out & dbl
end replicate
-- rotate :: Int -> [a] -> [a]
on rotate(n, xs)
set lng to length of xs
if 0 > n then
set d to (-n) mod lng
else
set d to lng - (n mod lng)
end if
drop(d, xs) & take(d, xs)
end rotate
-- take :: Int -> [a] -> [a]
-- take :: Int -> String -> String
on take(n, xs)
if class of xs is string then
if 0 < n then
text 1 thru min(n, length of xs) of xs
else
""
end if
else
if 0 < n then
items 1 thru min(n, length of xs) of xs
else
{}
end if
end if
end take
-- unlines :: [String] -> String
on unlines(xs)
set {dlm, my text item delimiters} to ¬
{my text item delimiters, linefeed}
set str to xs as text
set my text item delimiters to dlm
str
end unlines
-- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
on zipWith(f, xs, ys)
set lng to min(length of xs, length of ys)
if 1 > lng then return {}
set lst to {}
tell mReturn(f)
repeat with i from 1 to lng
set end of lst to |λ|(item i of xs, item i of ys)
end repeat
return lst
end tell
end zipWith

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on bitwiseAND(n1, n2, registerSize)
set out to 0
-- Multiplying equivalent bit values by each other gives 1 where they're both 1 and 0 otherwise.
repeat with i from 0 to registerSize - 1
tell (2 ^ i) to set out to out + (n1 div it) * (n2 div it) mod 2 * it
end repeat
return out div 1
end bitwiseAND
on bitwiseOR(n1, n2, registerSize)
set out to 0
-- Adding bit values plus a further 1 gives a carry of 1 if either or both values are 1, but not if they're both 0.
repeat with i from 0 to registerSize - 1
tell (2 ^ i) to set out to out + (n1 div it mod 2 + n2 div it mod 2 + 1) div 2 * it
end repeat
return out div 1
end bitwiseOR
on bitwiseXOR(n1, n2, registerSize)
set out to 0
-- Adding bit values gives 1 if they're different and 0 (with or without a carry) if they're both the same.
repeat with i from 0 to registerSize - 1
tell (2 ^ i) to set out to out + (n1 div it + n2 div it) mod 2 * it
end repeat
return out div 1
end bitwiseXOR
on bitwiseNOT(n, registerSize)
-- Subtract n from an all-1s value (ie. from 1 less than 2 ^ registerSize).
tell (2 ^ registerSize) to return (it - 1 - n mod it) div 1
end bitwiseNOT
on leftShift(n, shift, registerSize)
-- Multiply by 2 ^ shift and lose any bits beyond the left of the register.
return n * (2 ^ shift) mod (2 ^ registerSize) div 1
end leftShift
on rightShift(n, shift, registerSize)
-- Divide by 2 ^ shift and lose any bits beyond the right of the register.
return n mod (2 ^ registerSize) div (2 ^ shift)
end rightShift
on arithmeticRightShift(n, shift, registerSize)
set n to n mod (2 ^ registerSize)
-- If the number's positive and notionally sets the sign bit, reinterpret it as a negative.
tell (2 ^ (registerSize - 1)) to if (n it) then set n to n mod it - it
-- Right shift by the appropriate amount
set out to n div (2 ^ shift)
-- If the result for a negative is 0, change it to -1.
if ((n < 0) and (out is 0)) then set out to -1
return out
end arithmeticRightShift
on leftRotate(n, shift, registerSize)
-- Cut the register at the appropriate point, left shift the right side and right shift the left by the appropriate amounts.
set shift to shift mod (registerSize)
return leftShift(n, shift, registerSize) + rightShift(n, registerSize - shift, registerSize)
end leftRotate
on rightRotate(n, shift, registerSize)
-- As left rotate, but applying the shift amounts to the opposite sides.
set shift to shift mod registerSize
return rightShift(n, shift, registerSize) + leftShift(n, registerSize - shift, registerSize)
end rightRotate
bitwiseAND(92, 7, 16) --> 4
bitwiseOR(92, 7, 16) --> 95
bitwiseXOR(92, 7, 16) --> 91
bitwiseNOT(92, 16) --> 64453
bitwiseNOT(92, 8) --> 163
bitwiseNOT(92, 32) --> 4.294967203E+9
leftShift(92, 7, 16) --> 11776
leftShift(92, 7, 8) --> 0
rightShift(92, 7, 16) --> 0
arithmeticRightShift(92, 7, 16) --> 0
arithmeticRightShift(-92, 7, 16) --> -1
leftRotate(92, 7, 8) --> 46
rightRotate(92, 7, 8) --> 184
rightRotate(92, 7, 16) --> 47104