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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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--------------------- IDENTITY MATRIX ----------------------
-- identityMatrix :: Int -> [(0|1)]
on identityMatrix(n)
set xs to enumFromTo(1, n)
script row
on |λ|(x)
script col
on |λ|(i)
if i = x then
1
else
0
end if
end |λ|
end script
map(col, xs)
end |λ|
end script
map(row, xs)
end identityMatrix
--------------------------- TEST ---------------------------
on run
unlines(map(showList, ¬
identityMatrix(5)))
end run
-------------------- GENERIC FUNCTIONS ---------------------
-- enumFromTo :: Int -> Int -> [Int]
on enumFromTo(m, n)
if m n then
set lst to {}
repeat with i from m to n
set end of lst to i
end repeat
lst
else
{}
end if
end enumFromTo
-- intercalate :: String -> [String] -> String
on intercalate(delim, xs)
set {dlm, my text item delimiters} to ¬
{my text item delimiters, delim}
set s to xs as text
set my text item delimiters to dlm
s
end intercalate
-- 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
-- Lift 2nd class handler function into 1st class script wrapper
-- mReturn :: Handler -> Script
on mReturn(f)
if class of f is script then
f
else
script
property |λ| : f
end script
end if
end mReturn
-- showList :: [a] -> String
on showList(xs)
"[" & intercalate(", ", map(my str, xs)) & "]"
end showList
-- str :: a -> String
on str(x)
x as string
end str
-- unlines :: [String] -> String
on unlines(xs)
-- A single string formed by the intercalation
-- of a list of strings with the newline character.
set {dlm, my text item delimiters} to ¬
{my text item delimiters, linefeed}
set s to xs as text
set my text item delimiters to dlm
s
end unlines

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on indentityMatrix(n)
set digits to {}
set m to n - 1
repeat (n + m) times
set end of digits to 0
end repeat
set item n of digits to 1
set matrix to {}
repeat with i from n to 1 by -1
set end of matrix to items i thru (i + m) of digits
end repeat
return matrix
end indentityMatrix
return indentityMatrix(5)

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{{1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}}