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ArrayProgScript.sml
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ArrayProgScript.sml
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(*
A module about Arrays for the CakeML standard basis library.
*)
open preamble ml_translatorLib ml_progLib basisFunctionsLib
Word8ArrayProgTheory
val _ = new_theory"ArrayProg"
val _ = translation_extends"Word8ArrayProg"
val () = ml_prog_update (open_module "Array");
val _ = ml_prog_update (add_dec
``Dtabbrev unknown_loc ["'a"] "array" (Atapp [Atvar "'a"] (Short "array"))`` I);
val () = append_decs
``[mk_binop "array" Aalloc;
mk_unop "arrayEmpty" AallocEmpty;
mk_binop "sub" Asub;
mk_unop "length" Alength;
Dlet unknown_loc (Pvar "update")
(Fun "x" (Fun "y" (Fun "z"
(App Aupdate [Var (Short "x"); Var (Short "y"); Var (Short "z")])))) ]``;
val array_fromList = process_topdecs
`fun fromList l =
let fun f arr l i =
case l of
[] => arr
| (h::t) => (update arr i h; f arr t (i + 1))
in
case l of
[] => arrayEmpty ()
| h::t => f (array (List.length l) h) t 1
end`;
val _ = append_prog array_fromList;
val array_tabulate = process_topdecs
`fun tabulate n f =
let fun u arr x =
if x = n then arr
else (update arr x (f x); u arr (x + 1))
in
if n = 0 then
arrayEmpty ()
else
u (array n (f 0)) 1
end`;
val _ = append_prog array_tabulate;
(*val array_vector = process_topdecs
`fun vector arr = Vector.tabulate (length arr) (fn i => sub arr i)`*)
val _ = ml_prog_update open_local_block;
val array_copy_aux = process_topdecs
`fun copy_aux src dst di max n =
if n = max
then ()
else (update dst di (sub src n); copy_aux src dst (di + 1) max (n + 1))`
val _ = append_prog array_copy_aux;
val _ = ml_prog_update open_local_in_block;
val array_copy = process_topdecs
`fun copy src dst di =
copy_aux src dst di (length src) 0`
val _ = append_prog array_copy;
val _ = ml_prog_update open_local_block;
val array_copyVec_aux = process_topdecs
`fun copyVec_aux src dst di max n =
if n = max
then ()
else (update dst (di + n) (Vector.sub src n); copyVec_aux src dst di max (n + 1))`
val _ = append_prog array_copyVec_aux;
val _ = ml_prog_update open_local_in_block;
val array_copyVec = process_topdecs
`fun copyVec src dst di =
copyVec_aux src dst di (Vector.length src) 0`
val _ = append_prog array_copyVec;
val _ = ml_prog_update open_local_block;
val array_app_aux = process_topdecs
`fun app_aux f arr max n =
if n = max
then ()
else (f (sub arr n); app_aux f arr max (n + 1))`
val _ = append_prog array_app_aux;
val _ = ml_prog_update open_local_in_block;
val array_app = process_topdecs
`fun app f arr =
app_aux f arr (length arr) 0`
val _ = append_prog array_app;
val _ = ml_prog_update open_local_block;
val array_appi_aux = process_topdecs
`fun appi_aux f arr max n =
if n = max
then ()
else (f n (sub arr n): unit;
appi_aux f arr max (n + 1))`
val _ = append_prog array_appi_aux;
val _ = ml_prog_update open_local_in_block;
val array_appi = process_topdecs
`fun appi f arr =
appi_aux f arr (length arr) 0`
val _ = append_prog array_appi;
val _ = ml_prog_update open_local_block;
val array_modify_aux = process_topdecs
`fun modify_aux f arr max n =
if n = max
then ()
else (update arr n (f (sub arr n)); modify_aux f arr max (n + 1))`
val _ = append_prog array_modify_aux;
val _ = ml_prog_update open_local_in_block;
val array_modify = process_topdecs
`fun modify f arr =
modify_aux f arr (length arr) 0`
val _ = append_prog array_modify;
val _ = ml_prog_update open_local_block;
val array_modifyi_aux = process_topdecs
`fun modifyi_aux f arr max n =
if n = max
then ()
else (update arr n (f n (sub arr n)); modifyi_aux f arr max (n + 1))`
val _ = append_prog array_modifyi_aux;
val _ = ml_prog_update open_local_in_block;
val array_modifyi = process_topdecs
`fun modifyi f arr =
modifyi_aux f arr (length arr) 0`
val _ = append_prog array_modifyi;
val _ = ml_prog_update open_local_block;
val array_foldli_aux = process_topdecs
`fun foldli_aux f init arr max n =
if n = max
then init
else foldli_aux f (f n (sub arr n) init ) arr max (n + 1)`
val _ = append_prog array_foldli_aux;
val _ = ml_prog_update open_local_in_block;
val array_foldli = process_topdecs
`fun foldli f init arr =
foldli_aux f init arr (length arr) 0`
val _ = append_prog array_foldli;
val _ = ml_prog_update open_local_block;
val array_foldl_aux = process_topdecs
`fun foldl_aux f init arr max n =
if n = max
then init
else foldl_aux f (f (sub arr n) init ) arr max (n + 1)`
val _ = append_prog array_foldl_aux;
val _ = ml_prog_update open_local_in_block;
val array_foldl = process_topdecs
`fun foldl f init arr =
foldl_aux f init arr (length arr) 0`
val _ = append_prog array_foldl;
val _ = ml_prog_update open_local_block;
val array_foldri_aux = process_topdecs
`fun foldri_aux f init arr n =
if n = 0
then init
else foldri_aux f (f (n - 1) (sub arr (n - 1)) init) arr (n - 1)`
val _ = append_prog array_foldri_aux;
val _ = ml_prog_update open_local_in_block;
val array_foldri = process_topdecs
`fun foldri f init arr =
foldri_aux f init arr (length arr)`
val _ = append_prog array_foldri;
val _ = ml_prog_update open_local_block;
val array_foldr_aux = process_topdecs
`fun foldr_aux f init arr n =
if n = 0
then init
else foldr_aux f (f (sub arr (n - 1)) init) arr (n - 1)`
val _ = append_prog array_foldr_aux;
val _ = ml_prog_update open_local_in_block;
val array_foldr = process_topdecs
`fun foldr f init arr =
foldr_aux f init arr (length arr)`
val _ = append_prog array_foldr;
val _ = ml_prog_update open_local_block;
val array_find_aux = process_topdecs
`fun find_aux f arr max n =
if n = max
then None
else (if f (sub arr n)
then Some(sub arr n)
else find_aux f arr max (n + 1))`
val _ = append_prog array_find_aux;
val _ = ml_prog_update open_local_in_block;
val array_find = process_topdecs
`fun find f arr =
find_aux f arr (length arr) 0`
val _ = append_prog array_find;
val _ = ml_prog_update open_local_block;
(* Parser bug, see Issue #25 *)
val array_findi_aux =
``[(Dletrec unknown_loc
[("findi_aux","f",
Fun "arr"
(Fun "max"
(Fun "n"
(Let (SOME "a")
(App Opapp
[App Opapp [Var (Short "="); Var (Short "n")];
Var (Short "max")])
(If (Var (Short "a")) (Con (SOME (Short "None")) [])
(Let (SOME "b")
(App Opapp
[App Opapp
[Var (Short "sub"); Var (Short "arr")];
Var (Short "n")])
(Let (SOME "c")
(App Opapp
[App Opapp
[Var (Short "f"); Var (Short "n")];
Var (Short "b")])
(If (Var (Short "c"))
(Let (SOME "d")
(App Opapp
[App Opapp
[Var (Short "sub");
Var (Short "arr")];
Var (Short "n")])
(Con (SOME (Short "Some"))
[Con NONE [Var (Short "n");
Var (Short "d")]]))
(Let (SOME "e")
(App Opapp
[App Opapp
[Var (Short "+");
Var (Short "n")];
Lit (IntLit 1)])
(App Opapp
[App Opapp
[App Opapp
[App Opapp
[Var (Short "findi_aux");
Var (Short "f")];
Var (Short "arr")];
Var (Short "max")];
Var (Short "e")]))))))))))])]``
val _ = append_prog array_findi_aux;
val _ = ml_prog_update open_local_in_block;
val array_findi = process_topdecs
`fun findi f arr =
findi_aux f arr (length arr) 0`
val _ = append_prog array_findi;
val _ = ml_prog_update open_local_block;
val array_exists_aux = process_topdecs
`fun exists_aux f arr max n =
if n = max
then False
else (if f (sub arr n)
then True
else exists_aux f arr max (n + 1))`
val _ = append_prog array_exists_aux;
val _ = ml_prog_update open_local_in_block;
val array_exists = process_topdecs
`fun exists f arr =
exists_aux f arr (length arr) 0`
val _ = append_prog array_exists;
val _ = ml_prog_update open_local_block;
val array_all_aux = process_topdecs
`fun all_aux f arr max n =
if n = max
then True
else (if f (sub arr n)
then all_aux f arr max (n + 1)
else False)`
val _ = append_prog array_all_aux;
val _ = ml_prog_update open_local_in_block;
val array_all = process_topdecs
`fun all f arr =
all_aux f arr (length arr) 0`
val _ = append_prog array_all;
val _ = ml_prog_update open_local_block;
val array_collate_aux = process_topdecs
`fun collate_aux f a1 a2 max ord n =
if n = max
then ord
else (if f (sub a1 n) (sub a2 n) = Equal
then collate_aux f a1 a2 max ord (n + 1)
else f (sub a1 n) (sub a2 n))`
val _ = append_prog array_collate_aux;
val _ = ml_prog_update open_local_in_block;
val array_collate = process_topdecs
`fun collate f a1 a2 =
if (length a1) < (length a2)
then collate_aux f a1 a2 (length a1) Less 0
else if (length a2) < (length a1)
then collate_aux f a1 a2 (length a2) Greater 0
else collate_aux f a1 a2 (length a2) Equal 0`
val _ = append_prog array_collate;
val _ = (append_prog o process_topdecs) `
val lookup = fn arr => fn default => fn n =>
sub arr n handle _ => default`
val _ = (append_prog o process_topdecs) `
val updateResize = fn arr => fn default => fn n => fn v =>
(update arr n v; arr) handle _ =>
let
val arr' = array (2*n+1) default
in
(copy arr arr' 0;
update arr' n v;
arr')
end`
val _ = ml_prog_update close_local_blocks;
val _ = ml_prog_update (close_module NONE);
val _ = export_theory ()