Removed multiple input functions, added tuples, fixed parser

This commit is contained in:
elvis
2024-11-15 17:23:04 +01:00
parent 0ff17560ee
commit 7ad217dfb0
15 changed files with 808 additions and 307 deletions

View File

@ -5,55 +5,66 @@ open MiniFun.Types
(* Identity program *)
let program =
Function
(["a"],
FunctionType ([IntegerType], IntegerType),
("a",
FunctionType (IntegerType, IntegerType),
(Variable "a")
)
;;
Printf.printf "Identity program: %d\n" (Result.get_ok (reduce program 1))
match reduce program 1 with
Ok o -> Printf.printf "Identity program: %d\n" o
| Error _ -> Printf.printf "Identity program: error\n"
(* -------------------------------------------------------------------------- *)
(* Constant program *)
let program =
Function
(["a"],
FunctionType ([IntegerType], IntegerType),
("a",
FunctionType (IntegerType, IntegerType),
(Integer 1)
)
;;
Printf.printf "Constant program: %d\n" (Result.get_ok (reduce program 10))
match reduce program 10 with
Ok o -> Printf.printf "Constant program: %d\n" o
| Error _ -> Printf.printf "Constant program: error\n"
(* -------------------------------------------------------------------------- *)
(* Partial application of function program *)
let program =
LetIn
("f",
(Function (["x"; "y"],
FunctionType ([IntegerType; IntegerType], IntegerType),
Plus (Variable "x", Variable "y"))),
(Application (Variable "f", [Integer 3]))
(Function ("x",
FunctionType (IntegerType, FunctionType (IntegerType, IntegerType)),
(Function ("y", FunctionType (IntegerType, IntegerType),
Plus (Variable "x", Variable "y"))
)
)),
(Application (Variable "f", Integer 3))
)
;;
Printf.printf "Partial application of function program: %d\n" (Result.get_ok (reduce program 2))
match reduce program 2 with
Ok o -> Printf.printf "Partial application of function program: %d\n" o
| Error _ -> Printf.printf "Partial application of function program: error\n"
(* -------------------------------------------------------------------------- *)
(* Partial application of function program *)
let program =
LetFun
("f",
["x"],
FunctionType ([IntegerType], IntegerType),
(Function (["y"],
FunctionType ([IntegerType], IntegerType),
"x",
FunctionType (IntegerType, IntegerType),
(Function ("y",
FunctionType (IntegerType, IntegerType),
Plus (Variable "x", Variable "y"))),
(Application (Variable "f", [Integer 3]))
(Application (Variable "f", Integer 3))
)
;;
Printf.printf "Partial application of function program: %d\n" (Result.get_ok (reduce program 3))
match reduce program 3 with
Ok o -> Printf.printf "Partial application of function program: %d\n" o
| Error _ -> Printf.printf "Partial application of function program: error\n"
(* -------------------------------------------------------------------------- *)
(* Passing functions to functions program *)
@ -61,18 +72,18 @@ let program =
LetIn
("f",
(Function (
["z"],
FunctionType ([FunctionType ([IntegerType], IntegerType)], IntegerType),
"z",
FunctionType (FunctionType (IntegerType, IntegerType), IntegerType),
(Function (
["y"],
FunctionType ([FunctionType ([IntegerType], IntegerType)], IntegerType),
"y",
FunctionType (FunctionType (IntegerType, IntegerType), IntegerType),
Function (
["x"],
FunctionType ([IntegerType], IntegerType),
"x",
FunctionType (IntegerType, IntegerType),
(IfThenElse (
CmpLess (Variable "x", Integer 0),
(Application (Variable "y", [Variable "x"])),
(Application (Variable "z", [Variable "x"]))
(Application (Variable "y", Variable "x")),
(Application (Variable "z", Variable "x"))
)))
))
)),
@ -80,82 +91,100 @@ let program =
(
(Application
(Variable "f",
[Function (["x"], FunctionType ([IntegerType], IntegerType), Plus (Variable "x", Integer 1))]
Function ("x", FunctionType (IntegerType, IntegerType), Plus (Variable "x", Integer 1))
)
),
[Function (["x"], FunctionType ([IntegerType], IntegerType), Minus (Variable "x", Integer 1))]
Function ("x", FunctionType (IntegerType, IntegerType), Minus (Variable "x", Integer 1))
)
)
)
;;
Printf.printf "Passing functions to functions program 1: %d\n" (Result.get_ok (reduce program (3)));
Printf.printf "Passing functions to functions program 2: %d\n" (Result.get_ok (reduce program (-3)))
match reduce program (3) with
Ok o -> Printf.printf "Passing functions to functions program 1: %d\n" o
| Error _ -> Printf.printf "Passing functions to functions program 1: error\n";;
match reduce program (-3) with
Ok o -> Printf.printf "Passing functions to functions program 2: %d\n" o
| Error _ -> Printf.printf "Passing functions to functions program 2: error\n"
(* -------------------------------------------------------------------------- *)
(* Recursive function program *)
let program =
LetFun
("f",
["x"],
FunctionType ([IntegerType], IntegerType),
(IfThenElse (CmpLess (Variable "x", Integer 2),Integer 1, Plus (Variable "x", Application (Variable "f", [Minus (Variable "x", Integer 1)])))),
"x",
FunctionType (IntegerType, IntegerType),
(IfThenElse (CmpLess (Variable "x", Integer 2),Integer 1, Plus (Variable "x", Application (Variable "f", Minus (Variable "x", Integer 1))))),
(Variable "f")
)
;;
Printf.printf "Recursive function program: %d\n" (Result.get_ok (reduce program 10))
match reduce program 10 with
Ok o -> Printf.printf "Recursive function program: %d\n" o
| Error _ -> Printf.printf "Recursive function program: error\n"
(* -------------------------------------------------------------------------- *)
(* Scope program *)
let program =
LetIn
("f",
(LetIn ("a", Integer 1, (Function (["y"], FunctionType ([IntegerType], IntegerType), Plus (Variable "y", Variable "a"))))),
(LetIn ("a", Integer 1, (Function ("y", FunctionType (IntegerType, IntegerType), Plus (Variable "y", Variable "a"))))),
(LetIn ("a", Integer 2, Variable "f"))
)
;;
Printf.printf "Scope program: %d\n" (Result.get_ok (reduce program 4))
match reduce program 4 with
Ok o -> Printf.printf "Scope program: %d\n" o
| Error _ -> Printf.printf "Scope program: error\n"
(* -------------------------------------------------------------------------- *)
(* Factorial program *)
let program =
LetFun (
"f",
["x"],
FunctionType ([IntegerType], IntegerType),
(IfThenElse (CmpLessEq (Variable "x", Integer 0), Integer 1, Times (Variable "x", Application (Variable "f", [Minus (Variable "x", Integer 1)])))),
"x",
FunctionType (IntegerType, IntegerType),
(IfThenElse (CmpLessEq (Variable "x", Integer 0), Integer 1, Times (Variable "x", Application (Variable "f", Minus (Variable "x", Integer 1))))),
(Variable "f")
)
;;
Printf.printf "Factorial program: %d\n" (Result.get_ok (reduce program 10))
;;
match reduce program 10 with
Ok o -> Printf.printf "Factorial program: %d\n" o
| Error _ -> Printf.printf "Factorial program: error\n"
(* -------------------------------------------------------------------------- *)
(* Hailstone sequence's lenght program *)
let program =
LetFun (
"collatz",
["n"; "count"],
FunctionType ([IntegerType; IntegerType], IntegerType),
"input",
FunctionType (TupleType (IntegerType, IntegerType), IntegerType),
(
IfThenElse (BNot (Cmp (Variable "n", Integer 1)),
(IfThenElse (Cmp (Modulo (Variable "n", Integer 2), Integer 0),
Application (Variable "collatz", [Division (Variable "n", Integer 2); Plus (Integer 1, Variable "count")]),
Application (Variable "collatz", [(Plus (Integer 1, Times (Integer 3, Variable "n"))); Plus (Integer 1, Variable "count")]))),
(Variable "count"))
IfThenElse (BNot (Cmp (First (Variable "input"), Integer 1)),
(IfThenElse (Cmp (Modulo (First (Variable "input"), Integer 2), Integer 0),
Application (Variable "collatz",
Tuple (
Division (First (Variable "input"), Integer 2),
Plus (Integer 1, Second (Variable "input")))),
Application (Variable "collatz",
Tuple (
Plus (Integer 1, Times (Integer 3, First (Variable "input"))),
Plus (Integer 1, Second (Variable "input")))))),
(Second (Variable "input")))
),
(Function (["x"],
FunctionType ([IntegerType], IntegerType),
Application (Variable "collatz", [Variable "x"; Integer 1])))
(Function ("x",
FunctionType (IntegerType, IntegerType),
Application (Variable "collatz", Tuple (Variable "x", Integer 1))))
)
;;
Printf.printf "Hailstone sequence's lenght program: %d\n" (Result.get_ok (reduce program 77031))
;;
match reduce program 77031 with
Ok o -> Printf.printf "Hailstone sequence's lenght program: %d\n" o
| Error _ -> Printf.printf "Hailstone sequence's lenght program: error\n"
(* -------------------------------------------------------------------------- *)
(* Sum multiples of 3 and 5 program *)
@ -163,55 +192,81 @@ Printf.printf "Hailstone sequence's lenght program: %d\n" (Result.get_ok (reduce
let program =
LetFun (
"sum",
["n"],
FunctionType ([IntegerType], IntegerType),
"n",
FunctionType (IntegerType, IntegerType),
(IfThenElse ((BOr (Cmp (Modulo (Variable "n", Integer 3), Integer 0), Cmp (Modulo (Variable "n", Integer 5), Integer 0))),
Plus (Variable "n", Application (Variable "sum", [Minus (Variable "n", Integer 1)])),
Plus (Variable "n", Application (Variable "sum", Minus (Variable "n", Integer 1))),
(IfThenElse ((CmpLessEq (Variable "n", Integer 1)),
(Integer 0),
(Application (Variable "sum", [Minus (Variable "n", Integer 1)])))
(Application (Variable "sum", Minus (Variable "n", Integer 1))))
))
),
(Variable "sum")
)
;;
Printf.printf "Sum multiples of 3 and 5 program: %d\n" (Result.get_ok (reduce program 12345))
;;
match reduce program 12345 with
Ok o -> Printf.printf "Sum multiples of 3 and 5 program: %d\n" o
| Error _ -> Printf.printf "Sum multiples of 3 and 5 program: error\n"
(* -------------------------------------------------------------------------- *)
(* Rand program *)
let program =
Function (
["x"],
FunctionType ([IntegerType], IntegerType),
"x",
FunctionType (IntegerType, IntegerType),
Rand (Variable "x")
)
;;
Printf.printf "Rand program: %b\n" ((Result.get_ok (reduce program 10) < 10))
;;
match reduce program 10 with
Ok o -> if o < 10 then Printf.printf "Rand program: %b\n" true
else Printf.printf "Rand program: %b\n" false
| Error _ -> Printf.printf "Rand program: error\n"
(* -------------------------------------------------------------------------- *)
(* Fibonacci program *)
let program =
LetFun (
"fib",
["i"; "a"; "b"],
FunctionType ([IntegerType; IntegerType; IntegerType], IntegerType),
(IfThenElse (Cmp (Variable "i", Integer 0),
Variable "a",
Application (Variable "fib", [Minus (Variable "i", Integer 1);
Variable "b";
Plus (Variable "a", Variable "b")])
)),
Function (["x"],
FunctionType ([IntegerType], IntegerType),
(Application (Variable "fib", [Variable "x"; Integer 0; Integer 1])))
"i",
FunctionType (IntegerType, FunctionType (IntegerType, FunctionType (IntegerType, IntegerType))),
Function (
"a",
FunctionType (IntegerType, FunctionType (IntegerType, IntegerType)),
Function (
"b",
FunctionType (IntegerType, IntegerType),
(IfThenElse (Cmp (Variable "i", Integer 0),
Variable "a",
Application (
Application (
Application (
Variable "fib",
Minus (Variable "i", Integer 1)),
Variable "b"),
Plus (Variable "a", Variable "b")
)
))
)
),
Function ("x",
FunctionType (IntegerType, IntegerType),
Application (
Application (
Application (
Variable "fib",
Variable "x"
),
Integer 0
),
Integer 1
)
)
)
;;
Printf.printf "Fibonacci program: %d\n" (Result.get_ok (reduce program 48))
;;
match reduce program 48 with
Ok o -> Printf.printf "Fibonacci program: %d\n" o
| Error _ -> Printf.printf "Fibonacci program: error\n"