X-Git-Url: https://svn.cri.ensmp.fr/git/Faustine.git/blobdiff_plain/e1705e136ab823be2e76e63728db1a5359d5d443..dbded051d69cc5ba556884eb285feba032e09d29:/interpretor/basic.ml?ds=inline diff --git a/interpretor/basic.ml b/interpretor/basic.ml index cda0c6b..55f0fb5 100644 --- a/interpretor/basic.ml +++ b/interpretor/basic.ml @@ -6,6 +6,7 @@ *) open Types;; +open Aux;; exception Convert_Error of string;; exception Basic_operation of string;; @@ -28,17 +29,17 @@ let fun_ternary oper f g h = fun x -> oper (f x) (g x) (h x);; let memorize : int -> (index -> basic) -> (index -> basic) = fun size -> fun vec -> - let memory_array = Array.create size Error in - let index_array = Array.create size false in + let memory = Array.create size Error in + let filled = Array.create size false in let vec_mem : index -> basic = fun i -> if i >= 0 && i < size then ( - if index_array.(i) then - memory_array.(i) + if filled.(i) then + memory.(i) else let result = vec i in - let () = memory_array.(i) <- result in - let () = index_array.(i) <- true in + let () = memory.(i) <- result in + let () = filled.(i) <- true in result) else raise (Invalid_argument "vector overflow.") in vec_mem;; @@ -79,20 +80,51 @@ let basic_to_float_array : basic -> float array = fun v -> match v with |Vec vec -> - let result : basic array = + let basics : basic array = Array.init vec#size vec#nth in - Array.map basic_to_float result + Array.map basic_to_float basics |_ -> [| (basic_to_float v)|];; -let basic_to_string : basic -> string = +let rec basic_to_string : basic -> string = fun (v : basic) -> match v with - |N i1 -> "N " ^ (string_of_int i1) - |R f1 -> "R " ^ (string_of_float f1) - |Vec vec -> "Vec" - |Zero -> "Zero" - |Error -> "Error";; + |N i1 -> string_of_int i1 + |R f1 -> string_of_float f1 + |Vec vec -> + let basics : basic array = + Array.init vec#size vec#nth in + let strings = Array.to_list + (Array.map basic_to_string basics) in + String.concat "," strings + |Zero -> "0" + |Error -> "0";; + +let basic_of_float : float -> basic = fun f -> R f;; + +let rec basic_of_float_array : float array -> basic = + fun (data : float array) -> + let n = Array.length data in + if n = 0 then + raise (Convert_Error "basic_of_float_array : empty.") + else if n = 1 then basic_of_float data.(0) + else + let vec = Array.get (Array.map basic_of_float data) in + Vec (new vector n vec);; + +let basic_to_bool : basic -> bool = + fun b -> + match b with + | N i -> + if i = 1 then true + else if i = 0 then false + else raise (Convert_Error "basic_to_bool : only for 0 or 1.") + | Zero -> false + | _ -> raise (Convert_Error "basic_to_bool : only for 0 or 1.");; + +let basic_of_bool : bool -> basic = + fun tof -> if tof then N 1 else N 0;; + (* VALUE OPERATIONS *) @@ -126,24 +158,20 @@ let rec basic_add : basic -> basic -> basic = match (b1, b2) with | (Zero, _) -> b2 | (_, Zero) -> b1 - | (Vec vec1, Vec vec2) -> if vec1#size = vec2#size then Vec (new vector vec1#size (fun_binary basic_add vec1#nth vec2#nth)) else raise (Basic_operation "vector size not matched.") | (Vec vec1, _) -> raise (Basic_operation "vec1 +~ sca2") - | (N i1, N i2) -> basic_normalize (N (i1 + i2)) | (N i1, R f2) -> basic_normalize (R ((float_of_int i1) +. f2)) | (N i1, Vec vec2) -> raise (Basic_operation "i1 +~ vec2") | (N i1, Error) -> Error - | (R f1, N i2) -> basic_normalize (R (f1 +. (float_of_int i2))) | (R f1, R f2) -> basic_normalize (R (f1 +. f2)) | (R f1, Vec vec2) -> raise (Basic_operation "f1 +~ vec2") | (R f1, Error) -> Error - | (Error, Vec vec2) -> raise (Basic_operation "Error +~ vec2") | (Error, _) -> Error;; @@ -183,19 +211,16 @@ let rec basic_mul : basic -> basic -> basic = Vec (new vector vec1#size (fun_unary (basic_mul Zero) vec1#nth)) | (Vec vec1, _) -> raise (Basic_operation "vec1 *~ sca2") - | (N i1, N i2) -> basic_normalize (N (i1 * i2)) | (N i1, R f2) -> basic_normalize (R ((float_of_int i1) *. f2)) | (N i1, Vec vec2) -> raise (Basic_operation "i1 *~ vec2") | (N i1, Zero) -> N 0 | (N i1, Error) -> Error - | (R f1, N i2) -> basic_normalize (R (f1 *. (float_of_int i2))) | (R f1, R f2) -> basic_normalize (R (f1 *. f2)) | (R f1, Vec vec2) -> raise (Basic_operation "f1 *~ vec2") | (R f1, Zero) -> R 0. | (R f1, Error) -> Error - | (Zero, N i2) -> N 0 | (Zero, R f2) -> R 0. | (Zero, Vec vec2) -> @@ -203,8 +228,7 @@ let rec basic_mul : basic -> basic -> basic = (fun i -> basic_mul Zero (vec2#nth i))) | (Zero, Zero) -> Zero | (Zero, Error) -> Error - - | (Error, Vec vec2) -> raise (Basic_operation "Error +~ vec2") + | (Error, Vec vec2) -> raise (Basic_operation "Error *~ vec2") | (Error, _) -> Error;; @@ -242,27 +266,150 @@ let rec basic_zero : basic -> basic = |Error -> R 0.;; -let rec basic_floor : basic -> basic = - fun v -> - match v with - |N i -> R (float_of_int i) - |R f -> R (floor f) +let rec basic_power : basic -> basic -> basic = + fun b1 -> + fun b2 -> + match (b1, b2) with + | (Vec vec1, Vec vec2) -> + if vec1#size = vec2#size then + Vec (new vector vec1#size + (fun_binary basic_power vec1#nth vec2#nth)) + else raise (Basic_operation "vector size not matched.") + | (Vec vec1, Zero) -> + let vec_zeros = Vec (new vector vec1#size (fun i -> Zero)) in + basic_power b1 vec_zeros + | (Vec vec1, _) -> raise (Basic_operation "vec1 ** sca2") + | (N i1, _) -> basic_power (R (float_of_int i1)) b2 + | (R f1, N i2) -> basic_power b1 (R (float_of_int i2)) + | (R f1, R f2) -> basic_normalize (R (f1 ** f2)) + | (R f1, Vec vec2) -> raise (Basic_operation "f1 ** vec2") + | (R f1, Zero) -> basic_power b1 (R 0.) + | (R f1, Error) -> Error + | (Zero, N i2) -> basic_power b1 (R (float_of_int i2)) + | (Zero, R f2) -> basic_power (R 0.) b2 + | (Zero, Vec vec2) -> + let vec_zeros = Vec (new vector vec2#size (fun i -> Zero)) in + basic_power vec_zeros b2 + | (Zero, Zero) -> basic_power (R 0.) (R 0.) + | (Zero, Error) -> Error + | (Error, Vec vec2) -> raise (Basic_operation "Error ** vec2") + | (Error, _) -> Error;; + +let rec basic_shift : (int -> int -> int) -> basic -> basic -> basic = + fun oper -> fun b1 -> fun b2 -> + match (b1, b2) with + | (Vec vec1, Vec vec2) -> + if vec1#size = vec2#size then + Vec (new vector vec1#size + (fun_binary (basic_shift oper) vec1#nth vec2#nth)) + else raise (Basic_operation "vector size not matched.") + | (Vec vec1, Zero) -> + let vec_zeros = Vec (new vector vec1#size (fun i -> Zero)) in + basic_shift oper b1 vec_zeros + | (Vec vec1, _) -> raise (Basic_operation "vec1 shift sca2") + | (N i1, N i2) -> basic_normalize (N (oper i1 i2)) + | (N i1, Vec vec2) -> raise (Basic_operation "sca1 shift vec2") + | (N i1, Zero) -> basic_shift oper b1 (N 0) + | (N i1, R f2) -> + raise (Basic_operation "Logical shift doesn't accept float.") + | (N i1, Error) -> Error + | (R f1, _) -> + raise (Basic_operation "Logical shift doesn't accept float.") + | (Zero, N i2) -> basic_shift oper (N 0) b2 + | (Zero, R f2) -> + raise (Basic_operation "Logical shift doesn't accept float.") + | (Zero, Vec vec2) -> + let vec_zeros = Vec (new vector vec2#size (fun i -> Zero)) in + basic_shift oper vec_zeros b2 + | (Zero, Zero) -> basic_shift oper (N 0) (N 0) + | (Zero, Error) -> Error + | (Error, Vec vec2) -> raise (Basic_operation "sca1 shift vec2") + | (Error, _) -> Error;; + +let basic_shl = basic_shift (lsl);; +let basic_shr = basic_shift (lsr);; + +let rec basic_logic : + (bool -> bool -> bool) -> basic -> basic -> basic = + fun oper -> fun b1 -> fun b2 -> + match (b1, b2) with + | (Vec vec1, Vec vec2) -> + if vec1#size = vec2#size then + Vec (new vector vec1#size + (fun_binary (basic_logic oper) vec1#nth vec2#nth)) + else raise (Basic_operation "vector size not matched.") + | (Vec vec1, Zero) -> + let vec_zeros = Vec (new vector vec1#size (fun i -> Zero)) in + basic_logic oper b1 vec_zeros + | (Vec vec1, _) -> raise (Basic_operation "vec1 logic sca2") + | (N i1, N i2) -> basic_of_bool (oper (basic_to_bool b1) + (basic_to_bool b2)) + | (N i1, R f2) -> + raise (Basic_operation "Float shouldn't be in logical oper.") + | (N i1, Vec vec2) -> raise (Basic_operation "f1 logic vec2") + | (N i1, Zero) -> basic_logic oper b1 (N 0) + | (N i1, Error) -> Error + | (R f1, _) -> + raise (Basic_operation "Float shouldn't be in logical oper.") + | (Zero, N i2) -> basic_logic oper (N 0) b2 + | (Zero, R f2) -> + raise (Basic_operation "Float shouldn't be in logical oper.") + | (Zero, Vec vec2) -> + let vec_zeros = Vec (new vector vec2#size (fun i -> Zero)) in + basic_logic oper vec_zeros b2 + | (Zero, Zero) -> basic_logic oper (N 0) (N 0) + | (Zero, Error) -> Error + | (Error, Vec vec2) -> raise (Basic_operation "Error logic vec2") + | (Error, _) -> Error;; + +let basic_and = basic_logic (&&);; +let basic_or = basic_logic (||);; +let basic_xor = basic_logic xor;; + +let rec basic_adjust : (float -> float) -> basic -> basic = + fun oper -> fun b -> + match b with + |N i -> R (oper (float_of_int i)) + |R f -> R (oper f) |Vec vec -> Vec (new vector vec#size - (fun_unary basic_floor vec#nth)) - |Zero -> R 0. + (fun_unary (basic_adjust oper) vec#nth)) + |Zero -> R (oper 0.) |Error -> Error;; +let basic_floor = basic_adjust floor;; +let basic_ceil = basic_adjust ceil;; +let basic_rint = basic_adjust rint;; let rec basic_int : basic -> basic = - fun v -> - match v with - |N i -> v + fun b -> + match b with + |N i -> b |R f -> N (int_of_float f) |Vec vec -> Vec (new vector vec#size (fun_unary basic_int vec#nth)) |Zero -> N 0 |Error -> Error;; +let rec basic_float : basic -> basic = + fun b -> + match b with + | N i -> R (float_of_int i) + | R f -> b + | Vec vec -> Vec (new vector vec#size + (fun_unary basic_float vec#nth)) + | Zero -> R 0. + | Error -> Error;; + +let rec basic_abs : basic -> basic = + fun b -> + match b with + | N i -> N (abs i) + | R f -> R (abs_float f) + | Vec vec -> Vec (new vector vec#size + (fun_unary basic_abs vec#nth)) + | Zero -> Zero + | Error -> Error;; + let rec basic_unary : (float -> float) -> basic -> basic = fun oper -> @@ -275,11 +422,15 @@ let rec basic_unary : (float -> float) -> basic -> basic = |Zero -> R (oper 0.) |Error -> Error;; - let basic_sin : basic -> basic = basic_unary sin;; +let basic_asin : basic -> basic = basic_unary asin;; let basic_cos : basic -> basic = basic_unary cos;; +let basic_acos : basic -> basic = basic_unary acos;; +let basic_tan : basic -> basic = basic_unary tan;; let basic_atan : basic -> basic = basic_unary atan;; - +let basic_exp : basic -> basic = basic_unary exp;; +let basic_ln : basic -> basic = basic_unary log;; +let basic_lg : basic -> basic = basic_unary log10;; let rec basic_atan2 : basic -> basic -> basic = fun v1 -> @@ -332,52 +483,122 @@ let rec basic_mod : basic -> basic -> basic = fun b2 -> match (b1, b2) with | (N i1, N i2) -> N (i1 mod i2) - | (N i1, R f2) -> basic_mod b1 (N (int_of_float f2)) + | (_, R f2) -> + raise (Basic_operation "b1 mod b2: b2 cannot be float.") + | (R f1, _) -> + raise (Basic_operation "b1 mod b2: b1 cannot be float.") | (N i1, Vec vec2) -> - raise (Basic_operation "Scalaire_Vector: int mod vec.") + raise (Basic_operation "Scalar_Vector: sca mod vec.") | (_, Zero) -> raise (Basic_operation "b1 mod b2: b2 cannot be zero.") | (N i1, Error) -> Error - - | (R f1, _) -> basic_mod (N (int_of_float f1)) b2 - | (Vec vec1, Vec vec2) -> if vec1#size = vec2#size then - Vec (new vector vec1#size (fun_binary basic_mod vec1#nth vec2#nth)) + Vec (new vector vec1#size + (fun_binary basic_mod vec1#nth vec2#nth)) else raise (Basic_operation "vector size not matched.") | (Vec vec1, _) -> - raise (Basic_operation "Vector_Scalaire: vec mod int.") - + raise (Basic_operation "Vector_Scalar: vec mod sca.") | (Zero, Vec vec2) -> basic_mod (Vec (new vector vec2#size (fun i -> Zero))) b2 | (Zero, _) -> basic_mod (N 0) b2 + | (Error, Vec vec2) -> + raise (Basic_operation "Scalar_Vector: sca mod vec.") + | (Error, _) -> Error;; +let rec basic_mod_float : + (float -> float -> float) -> basic -> basic -> basic = + fun oper -> fun b1 -> fun b2 -> + match (b1, b2) with + | (R f1, R f2) -> R (oper f1 f2) + | (_, N i2) -> + raise (Basic_operation "b1 mod_float b2: b2 cannot be int.") + | (N i1, _) -> + raise (Basic_operation "b1 mod_float b2: b1 cannot be int.") + | (R f1, Vec vec2) -> + raise (Basic_operation "Scalar_Vector: sca mod_float vec.") + | (_, Zero) -> + raise (Basic_operation "b1 mod_float b2: b2 cannot be zero.") + | (R f1, Error) -> Error + | (Vec vec1, Vec vec2) -> + if vec1#size = vec2#size then + Vec (new vector vec1#size + (fun_binary (basic_mod_float oper) vec1#nth vec2#nth)) + else raise (Basic_operation "vector size not matched.") + | (Vec vec1, _) -> + raise (Basic_operation "Vector_Scalaire: vec mod_float sca.") + | (Zero, Vec vec2) -> + basic_mod_float oper (Vec (new vector vec2#size (fun i -> Zero))) b2 + | (Zero, _) -> basic_mod_float oper (R 0.) b2 | (Error, Vec vec2) -> - raise (Basic_operation "Scalaire_Vector: int mod vec.") + raise (Basic_operation "Scalaire_Vector: int mod_float vec.") | (Error, _) -> Error;; +let basic_fmod = basic_mod_float mod_float;; +let basic_remainder = basic_mod_float remainder_float;; -let rec basic_larger_than_zero : basic -> basic = - fun v -> - match v with - |N i -> if i > 0 then N 1 else N 0 - |R f -> if f > 0. then N 1 else N 0 - |Vec vec -> - Vec (new vector vec#size - (fun_unary basic_larger_than_zero vec#nth )) - |Zero -> N 0 - |Error -> Error;; +let rec basic_compare_zero : + ('a -> 'a -> bool) -> ('b -> 'b -> bool) -> basic -> basic = + fun oper1 -> fun oper2 -> fun v -> + match v with + |N i -> if oper1 i 0 then N 1 else N 0 + |R f -> if oper2 f 0. then N 1 else N 0 + |Vec vec -> + Vec (new vector vec#size + (fun_unary (basic_compare_zero oper1 oper2) vec#nth )) + |Zero -> basic_compare_zero oper1 oper2 (N 0) + |Error -> Error;; +let basic_gt_zero = basic_compare_zero (>) (>);; +let basic_lt_zero = basic_compare_zero (<) (<);; +let basic_geq_zero = basic_compare_zero (>=) (>=);; +let basic_leq_zero = basic_compare_zero (<=) (<=);; +let basic_eq_zero = basic_compare_zero (=) (=);; +let basic_neq_zero = basic_compare_zero (<>) (<>);; -let basic_larger : basic -> basic -> basic = - fun b1 -> - fun b2 -> - basic_larger_than_zero (b1 -~ b2);; +let basic_compare : (basic -> basic) -> basic -> basic -> basic = + fun oper -> fun b1 -> fun b2 -> oper (b1 -~ b2);; +let basic_gt = basic_compare basic_gt_zero;; +let basic_lt = basic_compare basic_lt_zero;; +let basic_geq = basic_compare basic_geq_zero;; +let basic_leq = basic_compare basic_leq_zero;; +let basic_eq = basic_compare basic_eq_zero;; +let basic_neq = basic_compare basic_neq_zero;; -let basic_smaller : basic -> basic -> basic = +let basic_max : basic -> basic -> basic = fun b1 -> fun b2 -> - basic_larger_than_zero (b2 -~ b1);; - - + let compare = basic_gt_zero (b1 -~ b2) in + match compare with + | N i -> + if i = 1 then b1 + else if i = 0 then b2 + else raise (Basic_operation "compare result not bool.") + | Vec vec -> + let basics = Array.init vec#size vec#nth in + let sum = basic_to_int (Array.fold_left basic_add Zero basics) in + if sum = vec#size then b1 + else if sum = 0 then b2 + else Error + | Error -> Error + | _ -> raise (Basic_operation "compare result not bool.");; + + +let basic_min : basic -> basic -> basic = + fun b1 -> + fun b2 -> + let compare = basic_gt_zero (b1 -~ b2) in + match compare with + | N i -> + if i = 1 then b2 + else if i = 0 then b1 + else raise (Basic_operation "compare result not bool.") + | Vec vec -> + let basics = Array.init vec#size vec#nth in + let sum = basic_to_int (Array.fold_left basic_add Zero basics) in + if sum = vec#size then b2 + else if sum = 0 then b1 + else Error + | Error -> Error + | _ -> raise (Basic_operation "compare result not bool.");;