Done with hw1
Signed-off-by: jmug <u.g.a.mariano@gmail.com>
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2 changed files with 89 additions and 7 deletions
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@ -846,7 +846,12 @@ let e3 : exp = Mult (Var "y", Mult (e2, Neg e2)) (* "y * ((x+1) * -(x+1))" *)
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Hint: you probably want to use the 'union' function you wrote for Problem 3-5.
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*)
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let rec vars_of (e : exp) : string list =
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failwith "vars_of unimplemented"
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match e with
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| Var v -> [v]
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| Const _ -> []
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| Add (a1, a2) -> union (vars_of a1) (vars_of a2)
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| Mult (m1, m2) -> union (vars_of m1) (vars_of m2)
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| Neg n1 -> vars_of n1
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(*
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How should we _interpret_ (i.e. give meaning to) an expression?
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@ -908,7 +913,11 @@ let ctxt2 : ctxt = [ ("x", 2L); ("y", 7L) ] (* maps "x" to 2L, "y" to 7L *)
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such value, it should raise the Not_found exception.
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*)
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let rec lookup (x : string) (c : ctxt) : int64 =
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failwith "unimplemented"
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match c with
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| [] -> raise Not_found
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| (n, v) :: t ->
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if x = n then v
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else lookup x t
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(*
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Problem 4-3
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@ -934,7 +943,20 @@ let rec lookup (x : string) (c : ctxt) : int64 =
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*)
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let rec interpret (c : ctxt) (e : exp) : int64 =
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failwith "unimplemented"
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match e with
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| Var v -> lookup v c
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| Const c -> c
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| Add (e1, e2) ->
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let a1 = interpret c e1 in
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let a2 = interpret c e2 in
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Int64.add a1 a2
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| Mult (e1, e2) ->
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let m1 = interpret c e1 in
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let m2 = interpret c e2 in
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Int64.mul m1 m2
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| Neg e1 ->
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let n1 = interpret c e1 in
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Int64.neg n1
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(*
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Problem 4-4
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@ -979,7 +1001,33 @@ let rec interpret (c : ctxt) (e : exp) : int64 =
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*)
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let rec optimize (e : exp) : exp =
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failwith "optimize unimplemented"
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match e with
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| Var _ -> e
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| Const _ -> e
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| Neg n1 ->
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let n1 = optimize n1 in
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(match n1 with
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| Neg n2 -> n2
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| Const c1 -> if c1 = 0L then Const 0L else Const (Int64.neg c1)
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| _ -> Neg n1)
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| Mult (e1, e2) ->
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let e1 = optimize e1 in
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let e2 = optimize e2 in
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(match (e1, e2) with
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| (Const c1, Const c2) -> Const (Int64.mul c1 c2)
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| (Const 0L, _) -> Const 0L
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| (_, Const 0L) -> Const 0L
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| (Const 1L, _) -> e2
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| (_, Const 1L) -> e1
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| _ -> Mult (e1, e2))
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| Add (e1, e2) ->
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let e1 = optimize e1 in
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let e2 = optimize e2 in
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match (e1, e2) with
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| (Const c1, Const c2) -> Const (Int64.add c1 c2)
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| (Const 0L, _) -> e2
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| (_, Const 0L) -> e1
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| _ -> Add (e1, e2)
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(******************************************************************************)
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(* *)
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@ -1020,8 +1068,7 @@ type insn =
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| IPushV of string (* push (lookup string ctxt) onto the stack *)
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| IMul (* multiply the top two values on the stack *)
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| IAdd (* add the top two values on the stack *)
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| INeg
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(* negate the top value on the stack *)
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| INeg (* negate the top value on the stack *)
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(* A stack program is just a list of instructions. *)
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type program = insn list
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@ -1117,7 +1164,20 @@ let ans1 = run [] p1
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- You should test the correctness of your compiler on several examples.
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*)
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let rec compile (e : exp) : program =
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failwith "compile unimplemented"
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match e with
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| Const c -> [ IPushC c ]
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| Var v -> [ IPushV v ]
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| Add (e1, e2) ->
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let p1 = compile e1 in
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let p2 = compile e2 in
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append p1 (append p2 [ IAdd ])
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| Mult (e1, e2) ->
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let p1 = compile e1 in
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let p2 = compile e2 in
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append p1 (append p2 [ IMul ])
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| Neg e1 ->
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let p1 = compile e1 in
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append p1 [ INeg ]
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(************)
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(* Epilogue *)
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@ -6,6 +6,11 @@ open Hellocaml
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(* You should also add additional test cases here to help you *)
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(* debug your program. *)
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let e1 = Mult(Add(Const 1L, Const 2L), Add(Const 3L, Const 4L))
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let e2 = Add(Mult(Const 1L, Const 2L), Mult(Const 3L, Const 4L))
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let ctx3 = [("x", 10L); ("y", 20L)]
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let e3 = Add(Mult(Const 1L, Var "x"), Mult(Var "y", Const 4L))
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let student_tests : suite = [
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Test ("Student-Provided Tests For Problem 1-3", [
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("case1", assert_eqf (fun () -> prob3_ans) 42);
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@ -13,4 +18,21 @@ let student_tests : suite = [
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("case3", assert_eqf (fun () -> prob3_case3) 64);
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]);
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Test ("Student-Provided Tests for Problem 4-1", [
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("vars_of1", assert_eqf (fun () -> vars_of (Mult(Mult( Var "z", Var "w" ), Mult (Var "y", Mult (Var "x", Const 1L))))) ["w"; "x"; "y"; "z"]);
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]);
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Test ("Student-Provided Tests for Problem 4-4", [
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("optimize1", assert_eqf (fun () -> optimize (Neg(Neg(Const 0L)))) (Const 0L));
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("optimize2", assert_eqf (fun () -> optimize (Neg(Neg(Neg(Const 0L))))) (Const 0L));
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("optimize3", assert_eqf (fun () -> optimize (Neg(Neg(Neg(Const 1L))))) (Const (-1L)));
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("optimize4", assert_eqf (fun () -> optimize (Mult(Add(Const 5L, Const 5L), Neg(Neg(Const 1L))))) (Const (10L)));
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]);
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Test ("Student-Provided Tests for Problem 5", [
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("compile1", assert_eqf (fun () -> interpret [] e1) (answer (execute [] [] (compile e1))));
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("compile2", assert_eqf (fun () -> interpret [] e2) (answer (execute [] [] (compile e2))));
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("compile3", assert_eqf (fun () -> interpret ctx3 e3) (answer (execute ctx3 [] (compile e3))));
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]);
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]
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