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82
src/Expr.ml
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82
src/Expr.ml
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open GT
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@type expr =
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| Const of int
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| Var of string
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| Add of expr * expr
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| Mul of expr * expr with show, html, gmap
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let rec eval state expr =
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match expr with
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| Const n -> n
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| Var x -> state x
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| Add (e1, e2) -> eval state e1 + eval state e2
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| Mul (e1, e2) -> eval state e1 * eval state e2
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;;
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@type stmt =
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| Skip
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| Assign of string * expr
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| Read of string
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| Write of expr
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| Seq of stmt * stmt with show, html, gmap
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let run input stmt =
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let rec run' (state, output, input) stmt =
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let eval' e = eval (fun x -> List.assoc x state) e in
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match stmt with
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| Skip -> (state, output, input)
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| Assign (x, e) -> ((x, eval' e)::state, output, input)
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| Write e -> (state, output @ [eval' e], input)
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| Seq (s1, s2) -> run' (run' (state, output, input) s1) s2
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| Read x ->
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(match input with
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| [] -> failwith "empty input"
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| y :: input' -> ((x, y)::state, output, input')
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)
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in
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let (_, output, _) = run' ([], [], input) stmt in
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output
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;;
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@type instr =
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| S_READ
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| S_WRITE
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| S_PUSH of int
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| S_LD of string
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| S_ST of string
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| S_ADD
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| S_MUL with show, html, gmap
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let srun input code =
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let rec srun' (state, stack, input, output) code =
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match code with
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| [] -> output
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| instr :: code' ->
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srun' (match instr with
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| S_READ -> (match input with y::input' -> (state, y::stack, input', output ) | [] -> failwith "empty input" )
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| S_WRITE -> (match stack with y::stack' -> (state, stack' , input , output @ [y]) | [] -> failwith "stack underflow")
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| S_PUSH n -> (state, n::stack, input, output)
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| S_LD x -> (state, (List.assoc x state)::stack, input, output)
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| S_ST x -> (match stack with y::stack' -> ((x, y)::state, stack, input, output) | [] -> failwith "stack underflow")
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| S_ADD -> (match stack with x::y::stack' -> (state, (y+x)::stack', input, output) | [] -> failwith "stack underflow")
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| S_MUL -> (match stack with x::y::stack' -> (state, (y*x)::stack', input, output) | [] -> failwith "stack underflow")
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)
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code'
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in
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srun' ([], [], input, []) code
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let rec compile_expr expr =
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match expr with
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| Var x -> [S_LD x]
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| Const n -> [S_PUSH n]
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| Add (e1, e2) -> compile_expr e1 @ compile_expr e2 @ [S_ADD]
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| Mul (e1, e2) -> compile_expr e1 @ compile_expr e2 @ [S_MUL]
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let rec compile_stmt stmt =
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match stmt with
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| Skip -> []
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| Assign (x, e) -> compile_expr e @ [S_ST x]
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| Read x -> [S_READ; S_ST x]
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| Write e -> compile_expr e @ [S_WRITE]
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| Seq (s1, s2) -> compile_stmt s1 @ compile_stmt s2
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