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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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structure Matrix = struct
local
open Array2
fun mapscalar f (x, scalar) =
tabulate RowMajor (nRows x, nCols x, fn (i,j) => f(sub(x,i,j),scalar))
fun map2 f (x, y) =
tabulate RowMajor (nRows x, nCols x, fn (i,j) => f(sub(x,i,j),sub(y,i,j)))
in
infix splus sminus stimes
val op splus = mapscalar Int.+
val op sminus = mapscalar Int.-
val op stimes = mapscalar Int.*
val op + = map2 Int.+
val op - = map2 Int.-
val op * = map2 Int.*
val fromList = fromList
fun toList a =
List.tabulate(nRows a, fn i => List.tabulate(nCols a, fn j => sub(a,i,j)))
end
end;
(* example *)
let open Matrix
infix splus sminus stimes
val m1 = fromList [[1,2],[3,4]]
val m2 = fromList [[4,3],[2,1]]
val s = 2
in
List.map toList [m1+m2, m1-m2, m1*m2,
m1 splus s, m1 sminus s, m1 stimes s]
end;

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val it =
[[[5,5],[5,5]],[[~3,~1],[1,3]],[[4,6],[6,4]],[[3,4],[5,6]],[[~1,0],[1,2]],
[[2,4],[6,8]]] : int list list list