From: WANG <wang@wang-OptiPlex-780.(none)>
Date: Mon, 29 Jul 2013 16:00:24 +0000 (+0200)
Subject: OOP initial commit.
X-Git-Url: https://svn.cri.ensmp.fr/git/Faustine.git/commitdiff_plain/440ca0ba93966e89b68dc54207c461afc0d56264

OOP initial commit.
---

diff --git a/interpretor/Makefile b/interpretor/Makefile
index 56a213b..d9be60a 100644
--- a/interpretor/Makefile
+++ b/interpretor/Makefile
@@ -2,11 +2,11 @@
 #
 # The Caml sources (including camlyacc and camllex source files)
 
-SOURCES = types.ml parser.mly lexer.mll value.ml signal.ml faustexp.ml interpreter.ml preprocess.ml main.ml preprocess_stubs.cpp
+SOURCES = types.ml parser.mly lexer.mll basic.ml value.ml signal.ml beam.ml faustexp.ml interpreter.ml preprocess.ml main.ml preprocess_stubs.cpp
 
 # The executable file to generate
 
-EXEC = faustine
+EXEC = mrfausti
 
 # Path to ocaml include header files
 export OCAML_INCLUDE_PATH
@@ -15,7 +15,7 @@ export OCAML_INCLUDE_PATH
 #SNDFILE_PATH = /home/wang/Desktop/libsndfile-ocaml
 export SNDFILE_PATH
 
-# Path to Faust.mr3
+# Path to Faust.mr2
 FAUST_PATH = faust-0.9.47mr3
 
 # Path to preprocessor library
diff --git a/interpretor/faustexp.ml b/interpretor/faustexp.ml
index 5904569..6b324a0 100644
--- a/interpretor/faustexp.ml
+++ b/interpretor/faustexp.ml
@@ -8,15 +8,77 @@
 open Types;;
 open Value;;
 
-(* EXCEPTIONS *)
 
-(** Exception raised in beam matching of faust expressions.*)
-exception Beam_Matching_Error of string;;
-
-(** Exception raised in case that the branch under call hasn't yet been programed.*)
 exception NotYetDone;;
 
 
+
+class virtual expression : expression_type = 
+  fun (exp_init : faust_exp) ->
+  object
+      val exp = exp_init
+      val dim = new dimension
+      val delay = 0
+      method get_exp = exp
+      method get_dim = dim
+      method get_delay = delay
+      method to_string = "NotYetDone"
+      method virtual evaluate : beam_type -> beam_type
+end;;
+
+
+class exp_const = 
+  object
+      inherit expression
+      method evaluate = fun b1 ->
+	
+      end;;
+
+
+class exp_ident = 
+  object
+      inherit expression
+
+      end;;
+
+
+class exp_par = 
+  object
+     inherit expression
+
+      end;;
+
+
+class exp_split = 
+  object
+     inherit expression
+
+      end;;
+
+
+class exp_merge = 
+  object
+     inherit expression
+
+      end;;
+
+class exp_seq = 
+  object
+     inherit expression
+
+      end;;
+
+class exp_rec = 
+  object
+     inherit expression
+
+      end;;
+
+
+
+
+
+
 (* PROCESS DELAY ESTIMATION *)
 
 (** val delay : faust_exp -> int, returns the number of delays estimated staticly.
@@ -39,10 +101,6 @@ let rec delay exp_faust = match exp_faust with
 			|Floor		        ->	0
 			|Int			->	0
 			|Sin			->	0
-			|Cos			->	0
-			|Atan			->	0
-			|Atantwo                ->      0
-			|Sqrt			->	0
 			|Rdtable		->	100000 (* danger! *)
 			|Mod			->	0
 			|Larger			->	0
@@ -163,10 +221,6 @@ returns the dimension tree of constructor(e1, e2).*)
 			|Floor	    	        ->      End (1, 1)
 			|Int			->	End (1, 1)
 			|Sin			->	End (1, 1)
-			|Cos			->	End (1, 1)
-			|Atan			->	End (1, 1)
-			|Atantwo                ->      End (2, 1)
-			|Sqrt			->	End (1, 1)
 			|Rdtable		->	End (3, 1)
 			|Mod  		        ->	End (2, 1)
 			|Vectorize		->	End (2, 1)
diff --git a/interpretor/lexer.mll b/interpretor/lexer.mll
index a3a4746..c6a7cb5 100644
--- a/interpretor/lexer.mll
+++ b/interpretor/lexer.mll
@@ -1,18 +1,48 @@
-{open Parser}
+{
+open Parser
+open Types
+}
 
 rule token = parse
-  [' ' '\t' '\n' ]                					{ token lexbuf }
-| ['a'-'z' 'A'-'Z']+ as x  		        			{ IDENT x }
-| ['+' '*' '-' '/' '!' '_' '#' 
-   '@' '<' '>' '%'] as x                       { IDENT (String.make 1 x) }
-| "[]"                                      { IDENT "[]" }
-| ['0'-'9']+ as a							              { CONST a }
-| '.'                                       { POINT }
-| '('               	       				        { LPAR }
-| ')'         		    	      		          { RPAR }
-| ','										                    { PAR }
-| ':'							                    			{ SEQ }
-| "<:"									                  	{ SPLIT }
-| ":>"									                  	{ MERGE }
-| "~"							                     			{ REC }
-| eof									                    	{ EOF }
+  [' ' '\t' '\n' ]                	{ token lexbuf }
+
+| "+"                                   { IDENT Add}
+| "-"                                   { IDENT Sup}
+| "*"                                   { IDENT Mul}
+| "/"                                   { IDENT Div}
+| "_"                                   { IDENT Pass}
+| "!"                                   { IDENT Stop}
+| "mem"                                 { IDENT Mem}
+| "@"                                   { IDENT Delay}
+| "floor"                               { IDENT Floor}
+| "int"                                 { IDENT Int}
+| "sin"                                 { IDENT Sin}
+| "cos"                                 { IDENT Cos}
+| "atan"                                { IDENT Atan}
+| "atantwo"                             { IDENT Atantwo}
+| "sqrt"                                { IDENT Sqrt}
+| "rdtable"                             { IDENT Rdtable}
+| "%"                                   { IDENT Mod}
+| "vectorize"                           { IDENT Vectorize}
+| "#"                                   { IDENT Vconcat}
+| "[]"                                  { IDENT Vpick }
+| "serialize"                           { IDENT Serialize}
+| ">"                                   { IDENT Larger}
+| "<"                                   { IDENT Smaller}
+| "prefix"                              { IDENT Prefix}
+| "selecttwo"                           { IDENT Selecttwo}
+| "selectthree"                         { IDENT Selectthree}  
+
+
+| ['0'-'9']+ as a		        { CONST a }
+| '.'                                   { POINT }
+
+
+| '('               	       	        { LPAR }
+| ')'         		                { RPAR }
+| ','					{ PAR }
+| ':'					{ SEQ }
+| "<:"				        { SPLIT }
+| ":>"					{ MERGE }
+| "~"					{ REC }
+| eof					{ EOF }
diff --git a/interpretor/signal.ml b/interpretor/signal.ml
index 3440adc..b493b6c 100644
--- a/interpretor/signal.ml
+++ b/interpretor/signal.ml
@@ -1,339 +1,208 @@
 (**
  	Module: Signal	
-	Description: type signal = rate * (int -> value), operations of signals.
+	Description: signal definition and operations.
 	@author WANG Haisheng	
 	Created: 03/06/2013	Modified: 03/06/2013
 *)
 
 open Types;;
+open Basic;;
 open Value;;
 
-(* EXCEPTIONS *)
-
-(** Exception raised in operations of signals.*)
 exception Signal_operation of string;;
 
-
-
-(* MACRO *)
-
-(** Macro constants of the file.*)
-type signal_macro = Delay_Memory_Length_int;;
-
-
-(** val signal_macro_to_int : signal_macro -> int.*)
-let signal_macro_to_int m = match m with
-                                 |Delay_Memory_Length_int -> 10000;;
-
-
-(* SIGNAL OPERATIONS *)
-
-(** val frequency : signal -> int, returns the frequency of a signal.*)
-let frequency s = fst s;;
-
-
-(** val signal_fun : signal -> (int -> value), returns the functional part of a signal.*)
-let signal_fun s = snd s;;
-
-
-(** val check_frequency : int -> int -> int, returns the correction of frequency.*)
-let check_frequency = fun f1 -> fun f2 ->
-	if f1 = f2 || f2 = 0 then f1
-	else if f1 = 0 then f2
-	else raise (Signal_operation "frequency not matched.");;
-
-(** val signal_check_frequency : signal -> signal -> int, 
-checks the frequencies of two input signals, and returns common frequency or raise an exception.*)
-let signal_check_frequency = fun s1 -> fun s2 ->
-        let f1 = frequency s1 in
-	let f2 = frequency s2 in
-	check_frequency f1 f2;;
-
-
-(** val signal_check_frequency3 : signal -> signal -> signal -> int,
-checks the frequencies of three input signal, and returns common frequency or raise an exception.*)
-let signal_check_frequency3 = fun s1 -> fun s2 -> fun s3 ->
-        let f1 = signal_check_frequency s1 s2 in
-	let f2 = signal_check_frequency s1 s3 in
-	check_frequency f1 f2;;
-
-
-(** val signal_check_frequency4 : signal -> signal -> signal -> signal -> int,
-checks the frequencies of three input signal, and returns common frequency or raise an exception.*)
-let signal_check_frequency4 = fun s1 -> fun s2 -> fun s3 -> fun s4 ->
-        let f1 = signal_check_frequency s1 s2 in
-	let f2 = signal_check_frequency s3 s4 in
-	check_frequency f1 f2;;
-
-
-(** val signal_add_one_memory : signal -> signal, 
-returns the signal with memory of one latest sample.*)
-let signal_add_one_memory = fun s ->
-        let new_signal = factory_add_memory (signal_fun s) 1 in
-	    (frequency s, new_signal);;
-
-
-(** val beam_add_one_memory : signal list -> signal list,
-adds memory of one latest sample for each element in signal list.*)
-let beam_add_one_memory = fun beam -> 
-        List.map signal_add_one_memory beam;;
-
-
-(** val signal_add : signal -> signal -> signal, output(t) = input1(t) + input2(t), 
-    frequency consistent.*)
-let signal_add s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> ((signal_fun s1) t) +~ ((signal_fun s2) t) in
-	(f, new_signal);;
-
-
-(** val signal_neg : signal -> signal, output(t) = -input(t), frequency consistent.*)
-let signal_neg s = 
-	let new_signal = fun t -> v_neg ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-(** val signal_sub : signal -> signal -> signal, output(t) = input1(t) - input2(t),
-    frequency consistent.*)
-let signal_sub s1 s2 = signal_add s1 (signal_neg s2);;
-
-
-(** val signal_mul : signal -> signal -> signal, output(t) = input1(t) * input2(t), 
-    frequency consistent.*)
-let signal_mul s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> ((signal_fun s1) t) *~ ((signal_fun s2) t) in
-	(f, new_signal);;
-
-
-(** val signal_div : signal -> signal -> signal, output(t) = input1(t) / input2(t), 
-    frequency consistent.*)
-let signal_div s1 s2 = 	
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> ((signal_fun s1) t) /~ ((signal_fun s2) t) in
-	(f, new_signal);;
-
-
-(** val signal_delay : signal -> signal -> signal, output(t) = input1(t - input2(t)), 
-    Attention: delay dynamic, frequency of output signal equals to that of first input signal.*)
-let signal_delay s1 s2 = 
-        let s1_mem = factory_add_memory (signal_fun s1) 
-	    (signal_macro_to_int Delay_Memory_Length_int) in
-	let new_signal = fun t -> 
-	let delay = (signal_fun s2) t in
-		match delay with
-		|N i ->	if i < 0 then raise (Signal_operation "Delay time < 0.") 
-				else if (t - i) >= 0 then s1_mem (t - i) 
-				else v_zero (s1_mem 0)
-		|R f -> let i = int_of_float f in
-				if i < 0 then raise (Signal_operation "Delay time < 0.") 
-				else if (t - i) >= 0 then s1_mem (t - i) 
-				else v_zero (s1_mem 0)
-		|Vec (size, vec) -> raise (Signal_operation "Delay time can not be a vector.")
-		|Zero -> s1_mem t
-		|W -> raise (Signal_operation "Delay time error.")
-	in
-	(frequency s1, new_signal);;
-
-
-(** val signal_mem : signal -> signal, equivalent to signal_delay with constant delay 1.*)
-let signal_mem s = signal_delay s (1, (fun t -> N 1));;
-
-
-(** val signal_vectorize : signal -> signal -> signal, output(t)(i) = input1(input2(0) * t + i), 
-Attention: vector size n static, frequency of output signal is (1/n * frequency of input1)*)
-let signal_vectorize s1 s2 = 
-	let size = (signal_fun s2) 0 in
-	match size with
-	|N size_int ->
-		(
-			let new_signal = fun t -> 
-			  make_vector size_int (fun i -> (signal_fun s1) (size_int * t + i)) in
-			let new_frequency = (frequency s1) / size_int in
-			(new_frequency, new_signal)
-		)
-	|_ -> raise (Signal_operation "Vectorize: vector size should be int.");;
-
-
-(** val signal_serialize : signal -> signal, output(t) = input(floor(t/n))(t%n), 
-    with n = size of input(0). 
-    Attention: input size unknown in the cas of "rec".*)
-let signal_serialize s = 
-	let temp0 = (signal_fun s) 0 in
-	match temp0 with
-	|Vec (size0, vec0) ->
-	    let new_signal = fun t ->
-	      	(
-	      		let temp = (signal_fun s) (t/size0) in
-		      	match temp with
-		      	|Vec (size, vec) ->
-			      	if size = size0 then 
-			      	  vec (t mod size)
-			      	else 
-			      	  raise (Signal_operation "Serialize: vector length not consistent.")
-		      	|_ -> raise (Signal_operation "Serialize: signal type not consistent.")
-	      	)
-	    in
-	    let new_frequency = (frequency s) * size0 in
-	    (new_frequency, new_signal)
-	|_ -> raise (Signal_operation "Serialize: input signal should be vector.");;
-
-
-(** val signal_append : signal -> signal -> signal, symbol "#", 
-    appends vectors of the two input signals at each time, frequency consistent.*)
-let signal_append s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> 
-		let temp1 = (signal_fun s1) t in
-		let temp2 = (signal_fun s2) t in
-		match (temp1, temp2) with
-		|(Vec (size1, vec1), Vec (size2, vec2)) ->
-			let new_vec = fun i -> if i < size1 then vec1 i else vec2 (i - size1) in
-			make_vector (size1 + size2) new_vec
-		|_ -> raise (Signal_operation "Append: input signals should be vectors.")
-	in
-	(f, new_signal);;
-
-
-(** val signal_nth : signal -> signal -> signal, symbol "[]", output(t) = input1(t)(input2(t)), 
-    frequency consistent. Attention: selection index dynamic.*)
-let signal_nth s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> 
-		let temp1 = (signal_fun s1) t in
-		let temp2 = (signal_fun s2) t in
-		match temp1 with
-		|Vec (size1, vec1) ->
-		(
-			match temp2 with
-			|N i -> vec1 i
-			|R f -> 
-			    raise (Signal_operation "Get: second input signal should be int.")
-			|Vec (size2, vec2) -> 
-			    raise (Signal_operation "Get: second input signal should be int.")
-			|Zero -> vec1 0
-			|W -> 
-			    raise (Signal_operation "Get: second input signal should be int.")
-		)
-		|_ -> raise (Signal_operation "Get: first input signal should be vector.")
-	in
-	(f, new_signal);;
-
-
-(** val signal_floor : signal -> signal, output(t) = v_floor(input(t)), frequency consistent.*)
-let signal_floor s = 
-	let new_signal = fun t -> v_floor ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-(** val signal_int : signal -> signal, output(t) = v_int(input(t)), frequency consistent.*)
-let signal_int s = 
-	let new_signal = fun t -> v_int ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-(** val signal_sin : signal -> signal, output(t) = v_sin(input(t)), frequency consistent.*)
-let signal_sin s = 
-	let new_signal = fun t -> v_sin ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-(** val signal_cos : signal -> signal, output(t) = v_cos(input(t)), frequency consistent.*)
-let signal_cos s = 
-	let new_signal = fun t -> v_cos ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-(** val signal_atan : signal -> signal, output(t) = v_atan(input(t)), frequency consistent.*)
-let signal_atan s = 
-	let new_signal = fun t -> v_atan ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-let signal_atantwo s1 s2 = 
-	let new_signal = fun t -> v_atantwo ((signal_fun s1) t) ((signal_fun s2) t) in
-	(frequency s1, new_signal);;
-
-
-(** val signal_sqrt : signal -> signal, output(t) = v_sqrt(input(t)), frequency consistent.*)
-let signal_sqrt s = 
-	let new_signal = fun t -> v_sqrt ((signal_fun s) t) in
-	(frequency s, new_signal);;
-
-
-(** val signal_rdtable : signal -> signal -> signal, 
-    output(t) = input1(input2(t)), frequency equals to that of input2. 
-    Attention: no memory implemented, very expensive when input1 comes from rec or delays.*)
-let signal_rdtable s0 s1 s2 = 
-        let memory_length_int = take_off_N ((signal_fun s0) 0) in
-        let s1_mem = factory_add_memory (signal_fun s1) memory_length_int in
-	let new_signal = fun t ->
-		let index = (signal_fun s2) t in
-		match index with
-		|N i -> s1_mem i
-		|R f -> raise (Signal_operation "Rdtable index cannot be float.")
-		|Vec (size, vec) -> raise (Signal_operation "Rdtable index cannot be vector.")
-		|Zero -> s1_mem 0
-		|W -> raise (Signal_operation "Rdtable index cannot be Error.")
-	in
-	(frequency s2, new_signal);;
-
-
-(** val signal_mod : signal -> signal -> signal, 
-    output(t) = input1(t) % input2(t), frequency consistent.*)
-let signal_mod s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> v_mod ((signal_fun s1) t) ((signal_fun s2) t) in
-	(f, new_signal);;
-
-
-(** val signal_sup : signal -> signal -> signal, 
-    output(t) = input1(t) > input2(t), frequency consistent.*)
-let signal_sup s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> v_sup ((signal_fun s1) t) ((signal_fun s2) t) in
-	(f, new_signal);;
-
-
-(** val signal_inf : signal -> signal -> signal, 
-    output(t) = input1(t) < input2(t), frequency consistent.*)
-let signal_inf s1 s2 = 
-        let f = signal_check_frequency s1 s2 in
-	let new_signal = fun t -> v_inf ((signal_fun s1) t) ((signal_fun s2) t) in
-	(f, new_signal);;
-
-
-(** val signal_select2 : signal -> signal -> signal -> signal,
-[signal_select2 si s0 s1] selects s0 or s1 by index si, frequency consistent.*)
-let signal_select2 si s0 s1 = 
-        let f = signal_check_frequency3 si s0 s1 in
-	let new_signal = fun t -> 
-	        if (signal_fun si) t = N 0 then (signal_fun s0) t
-		else if (signal_fun si) t = N 1 then (signal_fun s1) t
-		else raise (Signal_operation "select2 index should be 0 or 1.")
-	in
-	(f, new_signal);;
-
-
-(** val signal_select3 : signal -> signal -> signal -> signal -> signal,
-[signal_select3 si s0 s1 s2] selects s0 or s1 or s2 by index si, frequency consistent.*)
-let signal_select3 si s0 s1 s2 = 
-        let f = signal_check_frequency4 si s0 s1 s2 in
-	let new_signal = fun t -> 
-	        if (signal_fun si) t = N 0 then (signal_fun s0) t
-		else if (signal_fun si) t = N 1 then (signal_fun s1) t
-		else if (signal_fun si) t = N 2 then (signal_fun s2) t
-		else raise (Signal_operation "select3 index should be 0 or 1 or 2.")
-	in
-	(f, new_signal);;
-
-
-(** val signal_prefix : signal -> signal -> signal,
-[signal_prefix s0 s1] returns s0(0) if t = 0, s1(t-1) if t > 0, frequency same to s1.*)
-let signal_prefix = fun s0 -> fun s1 -> 
-        let new_signal = fun t ->
-	        if t = 0 then (signal_fun s0) 0
-		else if t > 0 then (signal_fun s1) t
-                else raise (Signal_operation "prefix time cannot be < 0.")
-        in
-	(frequency s1, new_signal);;
+let delay_memory_length = 10000;;
+
+class signal : int -> (time -> value_type) -> signal_type = 
+  fun (freq_init : int) ->
+    fun (func_init : time -> value_type) ->
+      object (self)
+	val mutable signal_func = func_init
+	val mutable memory_length = 0
+	method frequency = freq_init
+	method at = signal_func
+
+	method private check_freq : signal_type list -> int = 
+	  fun (sl : signal_type list) ->
+	    let check : int -> signal_type -> int = 
+	      fun (f : int) ->
+		fun (s : signal_type) ->
+		  if f = s#frequency || s#frequency = 0 then f
+		  else if f = 0 then s#frequency
+		  else raise (Signal_operation "frequency not matched.") in
+	    List.fold_left check self#frequency sl
+
+	method private add_memory : int -> unit = 
+	  fun (length : int) ->
+	    assert (length >= 0);
+	    if memory_length >= length then ()
+	    else
+	      let memory = Hashtbl.create length in
+	      let func : time -> value = 
+		fun (t : time) ->
+		  try Hashtbl.find memory t
+		  with Not_found ->
+		    let result = func_init t in
+		    let () = Hashtbl.replace memory t result in
+		    let () = 
+		      if (t - length) >= 0 then
+			Hashtbl.remove memory (t - length)
+		      else () in
+		    result in
+	      memory_length <- length;
+	      signal_func <- func
+
+	method private delay_by : int -> time -> value = 
+	  fun i -> fun t ->
+	    if (t - i) >= 0 then
+	      self#at (t - i)
+	    else if t >= 0 && (t - i) < 0 then
+	      (self#at 0)#zero
+	    else raise (Signal_operation "Delay time < 0.")
+
+	method private prim1 : 
+	    (time -> value_type) -> signal_type = 
+	      fun (func : time -> value_type) ->
+		let freq = self#frequency in
+		new signal freq func 
+
+	method private prim2 : 
+	    (time -> value_type -> value_type) -> signal_type -> signal_type = 
+	  fun (func_binary : time -> value_type -> value_type) ->
+	    fun (s : signal_type) ->
+	      let freq = self#check_freq [s] in
+	      let func = fun t -> (func_binary t) (s#at t) in
+	      new signal freq func
+
+	method neg = self#prim1 (fun t -> (self#at t)#neg)
+	method floor = self#prim1 (fun t -> (self#at t)#floor)
+	method sin = self#prim1 (fun t -> (self#at t)#sin)
+	method cos = self#prim1 (fun t -> (self#at t)#cos)
+	method atan = self#prim1 (fun t -> (self#at t)#atan)
+	method sqrt = self#prim1 (fun t -> (self#at t)#sqrt)
+	method int = self#prim1 (fun t -> (self#at t)#int)
+
+	method add = self#prim2 (fun t -> (self#at t)#add)
+	method sub = self#prim2 (fun t -> (self#at t)#sub)
+	method mul = self#prim2 (fun t -> (self#at t)#mul)
+	method div = self#prim2 (fun t -> (self#at t)#div)
+	method atan2 = self#prim2 (fun t -> (self#at t)#atan2)
+	method _mod = self#prim2 (fun t -> (self#at t)#_mod)
+	method larger = self#prim2 (fun t -> (self#at t)#larger)
+	method smaller = self#prim2 (fun t -> (self#at t)#smaller)
+
+	method delay : signal_type -> signal_type =
+	  fun (s : signal_type) ->
+	    let freq = self#check_freq [s] in
+	    let () = self#add_memory delay_memory_length in
+	    let func : time -> value_type = 
+	      fun (t : time) ->
+		let i = (s#at t)#to_int in
+		self#delay_by t i  in
+	    new signal freq func
+
+	method mem : signal_type = 
+	  let freq = self#frequency in
+	  let () = self#add_memory 1 in
+	  let func = fun (t : time) -> self#delay_by t 1 in
+	  new signal freq func
+
+	method rdtable : signal_type -> signal_type -> signal_type = 
+	  fun (s_size : signal_type) ->
+	    fun (s_index : signal_type) ->
+	      let freq = self#check_freq [s_index] in
+	      let () = self#add_memory ((s_size#at 0)#to_int) in
+	      let func : time -> value_type = fun t -> 
+		self#at ((s_index#at t)#to_int) in
+	      new signal freq func
+
+	method select2 : signal_type -> signal_type -> signal_type =
+	  fun s_first -> 
+	    fun s_second ->
+	      let freq = self#check_freq [s_first; s_second] in
+	      let func : time -> value_type = 
+		fun t -> let i = (self#at t)#to_int in
+		if i = 0 then s_first#at t
+		else if i = 1 then s_second#at t
+		else raise (Signal_operation "select2 index 0|1.") in
+	      new signal freq func
+
+	method select3 : 
+	    signal_type -> signal_type -> signal_type -> signal_type =
+	      fun s_first -> fun s_second -> fun s_third ->
+		let freq = self#check_freq [s_first; s_second; s_third] in
+		let func : time -> value_type = 
+		  fun t -> let i = (self#at t)#to_int in
+		  if i = 0 then s_first#at t
+		  else if i = 1 then s_second#at t
+		  else if i = 2 then s_third#at t
+		  else raise (Signal_operation "select2 index 0|1.") in
+		new signal freq func	
+		    
+	method prefix : signal_type -> signal_type =
+	    fun (s_init : signal_type) ->
+	      let func : time -> value_type = 
+		fun t ->
+		  if t = 0 then s_init#at 0
+		  else if t > 0 then self#at t
+		  else raise (Signal_operation "prefix time < 0.") in
+	      new signal self#frequency func
+
+
+	method vectorize : signal_type -> signal_type =
+	  fun s_size ->
+	    let size = (s_size#at 0)#to_int in
+	    if size <= 0 then      
+	      raise (Signal_operation "Vectorize: size <= 0.")
+	    else 
+	      let freq = self#frequency / size in
+	      let func : time -> value_type = 
+		fun t ->
+		  let vec = fun i -> (self#at (size * t + i))#get in
+		  new value (Vec (new vector size vec)) in
+	      new signal freq func
+
+
+	method serialize : signal_type = 
+	  let size = 
+	    match (self#at 0)#get with
+	    | Vec vec -> vec#size
+	    | _ -> raise (Signal_operation "Serialize: scalar input.") in
+	  let freq = self#frequency * size in
+	  let func : time -> value_type = 
+	    fun t -> 
+	      match (self#at (t/size))#get with
+	      | Vec vec -> new value (vec#nth (t mod size))
+	      | _ -> raise (Signal_operation 
+			      "Serialize: signal type not consistent.") in
+	  new signal freq func
+
+	method vconcat : signal_type -> signal_type = 
+	  fun s ->
+	    let freq = self#check_freq [s] in
+	    let func : time -> value_type = 
+	      fun t ->
+		match ((self#at t)#get, (s#at t)#get) with
+		| (Vec vec1, Vec vec2) ->
+		    let size1 = vec1#size in
+		    let size2 = vec2#size in
+		    let size = size1 + size2 in
+		    let vec = fun i -> 
+		      if i < size1 then vec1#nth i
+		      else vec2#nth (i - size1) in
+		    new value (Vec (new vector size vec))
+		| _ -> raise (Signal_operation "Vconcat: scalar.") in
+	    new signal freq func
+
+	method vpick : signal_type -> signal_type = 
+	  fun s_index ->
+	    let freq = self#check_freq [s_index] in
+	    let func : time -> value_type = 
+	      fun t -> 
+		let i = (s_index#at t)#to_int in
+		match (self#at t)#get with
+		| Vec vec -> new value (vec#nth i)
+		| _ -> raise (Signal_operation "Vpick: scalar.") in
+	    new signal freq func
+
+      end;;
diff --git a/interpretor/types.ml b/interpretor/types.ml
index 5c2c29d..ba61990 100644
--- a/interpretor/types.ml
+++ b/interpretor/types.ml
@@ -1,10 +1,49 @@
-type value = N of int
+
+type index = int;;
+
+type time = int;;
+
+type basic = N of int
            | R of float
-           | Vec of int * (int -> value)
+           | Vec of vector
 	   | Zero
-           | W
+           | Error
+and vector = < size : int; nth : (index -> basic) >;;
+
+class type vector_type = 
+	object
+	  method size : int
+	  method nth : index -> basic
+	end;;
+
+class type value_type = 
+  object
+    method get : basic
+    method to_int : int
+    method to_float : float
+    method to_float_array : float array
+    method to_string : string
+    method normalize : unit
+    method add : value_type -> value_type
+    method neg : value_type
+    method sub : value_type -> value_type
+    method mul : value_type -> value_type
+    method recip : value_type
+    method div : value_type -> value_type
+    method zero : value_type
+    method floor : value_type
+    method int : value_type
+    method sin : value_type
+    method cos : value_type
+    method atan : value_type
+    method sqrt : value_type
+    method atan2 : value_type -> value_type
+    method _mod : value_type -> value_type
+    method larger : value_type -> value_type
+    method smaller : value_type -> value_type
+  end;;
+
 
-(** type symbol, defines valid identifiers in faust expressions.*)
 type symbol = Add
   	    | Sup
 	    | Mul
@@ -23,8 +62,8 @@ type symbol = Add
 	    | Rdtable
 	    | Mod
 	    | Vectorize
-	    | Concat
-	    | Nth
+	    | Vconcat
+	    | Vpick
 	    | Serialize
 	    | Larger
 	    | Smaller
@@ -32,45 +71,9 @@ type symbol = Add
 	    | Selecttwo
 	    | Selectthree
 
-exception Symbol_not_defined;;
-
-let symbol_of_string = fun s ->
-                        match s with
-    			|"+"			->	Add
-			|"-"			->	Sup		
-			|"*"			->	Mul
-			|"/"			->	Div
-			|"_"			->	Pass
-			|"!"			->	Stop
-			|"mem"			->	Mem
-			|"@"			->	Delay
-			|"floor"		->	Floor
-			|"int"			->	Int
-			|"sin"			->	Sin
-			|"cos"                  ->      Cos
-			|"atan"                 ->      Atan
-			|"atantwo"              ->      Atantwo
-			|"sqrt"                 ->      Sqrt
-			|"rdtable"		->	Rdtable
-			|"%"			->	Mod
-			|"vectorize"		->	Vectorize
-			|"#"			->	Concat
-			|"[]"			->	Nth
-			|"serialize"		->	Serialize
-			|">"			->	Larger
-			|"<"			->	Smaller
-			|"prefix"		->	Prefix
-			|"selecttwo"		->	Selecttwo
-			|"selectthree"		->	Selectthree
-			| _                     ->      raise Symbol_not_defined
-
-
-
-type signal = int * (int -> value)
-
 
 type faust_exp =
-         Const of value
+         Const of basic
        | Ident of symbol
        | Par   of faust_exp * faust_exp
        | Seq   of faust_exp * faust_exp
@@ -79,5 +82,61 @@ type faust_exp =
        | Merge of faust_exp * faust_exp
 
 
-type dimension = End of (int * int)
-               | Tree of (int * int) * (dimension * dimension)
+class type signal_type = 
+    object
+      method frequency : int
+      method at : time -> value_type
+      method add : signal_type -> signal_type
+      method neg : signal_type
+      method sub : signal_type -> signal_type
+      method mul : signal_type -> signal_type
+      method div : signal_type -> signal_type
+      method delay : signal_type -> signal_type
+      method mem : signal_type
+      method vectorize : signal_type -> signal_type
+      method serialize : signal_type
+      method vconcat : signal_type -> signal_type
+      method vpick : signal_type -> signal_type
+      method floor : signal_type
+      method int : signal_type
+      method sin : signal_type
+      method cos : signal_type
+      method atan : signal_type
+      method atan2 : signal_type -> signal_type
+      method sqrt : signal_type
+      method _mod : signal_type -> signal_type
+      method larger : signal_type -> signal_type
+      method smaller : signal_type -> signal_type
+      method rdtable : signal_type -> signal_type -> signal_type
+      method select2 : signal_type -> signal_type -> signal_type
+      method select3 : signal_type -> signal_type -> signal_type -> signal_type
+      method prefix : signal_type -> signal_type
+    end;;
+
+
+class type beam_type =
+    object
+      method length : int
+      method sub : start: int -> length: int -> beam_type
+      method append : beam_type -> beam_type
+      method matching : size: int -> beam_type
+      method time : time -> basic list
+      method output : length: int -> (int list) * (float array list)
+    end;;
+
+
+class type dimension_type = 
+  object
+    method input : int
+    method output : int
+  end;;
+
+
+class type expression_type = 
+    object
+      method get_exp : faust_exp
+      method get_dim : dimension_type
+      method get_delay : int
+      method to_string : string
+      method evaluate : beam_type -> beam_type
+    end;;
diff --git a/interpretor/value.ml b/interpretor/value.ml
index 1701b4e..a13739e 100644
--- a/interpretor/value.ml
+++ b/interpretor/value.ml
@@ -2,479 +2,54 @@
  	Module: Value	
 	Description: basic data type in the vectorial faust interpreter.
 	@author WANG Haisheng	
-	Created: 31/05/2013	Modified: 03/06/2013
+	Created: 31/05/2013	Modified: 17/07/2013
 *)
 
 open Types;;
-
-(* EXCEPTIONS *)
-
-(** Exception raised in convertions between float/int and type 'Value'.*)
-exception Convert_Error of string;;
-
-(** Exception raised in type 'Value' operations.*)
-exception Value_operation of string;;
-
-
-(* MACRO *)
-
-(** Macro constants of the file.*)
-type value_macro = Faust_Max_int	
-		| Faust_Min_int		
-		| Faust_Bits_int;;	
-
-(** val value_macro_to_value : value_macro -> int.*)
-let value_macro_to_int m = match m with
-				|Faust_Max_int -> 2147483647
-				|Faust_Min_int -> -2147483648
-				|Faust_Bits_int -> 32;;
-
-
-(* VALUE CONVERT FUNCTIONS *)
-
-(** val return_N : int -> value, convert from int to value N.*)
-let return_N i = N i;;
-
-(** val return_R : float -> value, convert from float to value R.*)
-let return_R f = R f;;
-
-(** val return_Vec : int * (int -> value) -> value, convert (size, vec) to value Vec.*)
-let return_Vec (size, vec) = Vec (size, vec);;
-
-(** val fail, return value W.*)
-let fail = W;;
-
-(** val take_off_N : value -> int, convert from value N to int. 
-Attention: Zero and W are converted to 0.*)
-let rec take_off_N v = 
-	match v with
-	|N i -> i
-	|R f -> 
-	    raise (Convert_Error "float take_off_N int")
-	|Vec (size, vec) -> 
-	    raise (Convert_Error "take_off_N can not convert vector.")
-	|Zero -> 0
-	|W -> 0;; (* Danger! *)
-
-(** val take_off_R : value -> float, convert from value R to float. 
-Attention: Zero and W are converted to 0.0, int converted to float.*)
-let take_off_R v = 
-	match v with
-	|N i -> float_of_int i
-	|R f -> f
-	|Vec (size, vec) -> 
-	    raise (Convert_Error "take_off_R can not convert vector.")
-	|Zero -> 0.
-	|W -> 0.;;
-
-(** val convert_back_r : value -> float array, 
-return a float array of size 1 if v is N|R|Zero|W, a float array of size n if v is Vec.*)
-let convert_back_R v = 
-	match v with
-	|N i -> [| float_of_int i |]
-	|R f -> [| f |]
-	(** realise the function int -> value into float list.*)
-	|Vec (size, vec) ->
-		let result_value_array = Array.init size vec in
-		let result_float_array = Array.map take_off_R result_value_array in
-		result_float_array		
-	|Zero -> [| 0. |]
-	|W -> [| 0. |];;
-
-
-
-(* AUXILIARY FUNCTIONS*)
-
-(** val string_of_value : value -> string, converts value to following 
-strings "N i" | "R f" | "Vec" | "Zero" | "W".*)
-let rec string_of_value v = match v with
-	|N i1 -> "N " ^ (string_of_int i1)
-	|R f1 -> "R " ^ (string_of_float f1)
-	|Vec (size, vec) -> "Vec"
-	|Zero -> "Zero"	
-	|W -> "W";;
-
-(** val print_value_list: value list -> unit, prints to console the value list.*)
-let print_value_list value_list = 
-	let s = ref "[" in
-	let n = List.length value_list in
-		for i = 0 to n - 1 do
-			let current = List.nth value_list i in
-			s := if i + 1 < n then !s ^ string_of_value current ^ "; " 
-                             else !s ^ string_of_value current ^ "]"
-		done;
-	print_endline !s;;
-
-
-(** val factory_add_memory : (int -> 'b) -> int -> (int -> 'b),
-[factory_add_memory f n] adds a memory of size n to fun f.*)
-let factory_add_memory = fun f -> fun n ->
-  if n > 0 then
-    (
-        let memory = Hashtbl.create n in
-	let new_fun = fun i ->
-	        try Hashtbl.find memory i
-		with Not_found ->
-	      	        let result = f i in
-		        let () = Hashtbl.replace memory i result in
-			let () = Hashtbl.remove memory (i - n) in
-			result
-	in
-	new_fun
-     )
-  else raise (Value_operation "memory length cannot be < 0." );;
-
-
-(** val v_memory : value -> value, returns value Vec with memory.*)
-let v_memory v = match v with
-  | Vec (size, vec) ->
-      let memory_array = Array.create size W in
-      let index_array = Array.create size false in
-      let new_vec = fun i -> 
-	if i >= 0 && i < size then 
-	  (
-	    if index_array.(i) then 
-	      memory_array.(i)
-	    else 
-	      let result = vec i in
-	      let () = memory_array.(i) <- result in
-	      let () = index_array.(i) <- true in
-	      result		
-	  )
-	else raise (Invalid_argument "vector overflow.")
-      in
-      return_Vec (size, new_vec)
-  | _ -> v;;
-
-
-(** val v_list_memory : value list -> value list, returns value list with memory. *)
-let v_list_memory vl = List.map v_memory vl;;
-
-
-(** val make_vector : int -> (int -> value) -> value,
-[make_vector size vec], return a value Vec of (size, vec).*)
-let make_vector = fun size -> fun vec ->
-        let new_vec = fun i ->
-	        if  i >= 0 && i < size then vec i
-		else raise (Value_operation "vector overflow")
-	in
-	v_memory (return_Vec (size, new_vec));;    
-
-
-(* VALUE OPERATIONS *)
-
-(** val normalize: value -> value, normalize value to bounded [-2147483648,2147483647].*)
-let rec normalize v = 
-	let n = 2. ** float_of_int (value_macro_to_int Faust_Bits_int) in
-	match v with
-	|N i ->	
-	    if i > value_macro_to_int Faust_Max_int then 
-	      return_N (i - int_of_float (n *. floor (((float_of_int i) +. n/.2.)/.n)))
-	    else if i < value_macro_to_int Faust_Min_int then 
-	      return_N (i + int_of_float (n *. floor ((n/.2. -. (float_of_int i) -. 1.)/.n)))
-	    else return_N i
-	|R f -> 
-	    if f > float_of_int (value_macro_to_int Faust_Max_int) then 
-	      return_R (f -. (n *. floor ((f +. n/.2.)/.n)))
-	    else if f < float_of_int (value_macro_to_int Faust_Min_int) then 	
-	      return_R (f +. (n *. floor ((n/.2. -. f -. 1.)/.n)))
-	    else return_R f
-	|Vec (size, vec) -> make_vector size (fun i -> normalize (vec i))
-	|Zero -> Zero
-	|W -> W;;
-
-
-(** val v_add : value -> value -> value, value addition, recursive for value.Vec.*)
-let rec v_add v1 v2 = match v1 with
-	|Vec (size1, vec1) -> 
-	    (
-			match v2 with
-			|Vec (size2, vec2) -> 
-				if size1 = size2 then 
-				  make_vector size1 (fun i -> v_add (vec1 i) (vec2 i))
-				else raise (Value_operation "vector size not matched.")
-			|Zero -> v1
-			|_ -> raise (Value_operation "Vector_Scalar vec1 +~ sca2")
-	     )
-	|N i1 ->
-	    (
-			match v2 with
-			|N i2 -> normalize (return_N (i1 + i2))
-			|R f2 -> normalize (return_R ((float_of_int i1) +. f2))
-			|Vec (size2, vec2) -> raise (Value_operation "Vector_Scalar i1 +~ vec2")
-			|Zero -> v1
-			|W -> fail
-	    )
-	|R f1 ->
-	    (
-			match v2 with
-			|N i2 -> normalize (return_R (f1 +. (float_of_int i2)))
-			|R f2 -> normalize (return_R (f1 +. f2))
-			|Vec (size2, vec2) -> raise (Value_operation "Vector_Scalar f1 +~ vec2")
-			|Zero -> v1
-			|W -> fail
-	    )
-	|Zero -> v2
-	|W ->
-	    (
-			match v2 with
-			|N i2 -> fail
-			|R f2 -> fail
-			|Vec (size2, vec2) -> raise (Value_operation "Vector_Scalar W +~ vec2")
-			|Zero -> v1
-			|W -> fail
-	    );;
-
-
-(** val (+~) : value -> value -> value, operator of v_add.*)
-let (+~) v1 v2 = v_add v1 v2;;
-
-
-(** val v_neg : value -> value, v_neg v = -v.*)
-let rec v_neg v = match v with
-	|N i -> return_N (-i)
-	|R f -> return_R (-.f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_neg (vec i))
-	|Zero -> Zero
-	|W -> fail;;
-
-
-(** val v_sub : value -> value -> value, returns (v1 - v2).*)
-let v_sub v1 v2 = v_add v1 (v_neg v2);; 
-
-
-(** val (-~) : value -> value -> value, operator of v_sub.*)
-let (-~) v1 v2 = v_sub v1 v2;; 
-
-
-(** val v_mul : value -> value -> value, returns (v1 * v2), recursive for value.Vec.*)
-let rec v_mul v1 v2 = match v1 with
-	|Vec (size1, vec1) -> 
-		(
-			match v2 with
-			|Vec (size2, vec2) -> 
-				if size1 = size2 then 
-				  make_vector size1 (fun i -> v_mul (vec1 i) (vec2 i))
-				else raise (Value_operation "vector size not matched.")
-			|Zero -> make_vector size1 (fun i -> v_mul (vec1 i) Zero)
-			|_ -> raise (Value_operation "Vector_Scalar vec1 *~ sca2")
-        	)
-	|N i1 ->
-		(
-			match v2 with
-			|N i2 -> normalize (return_N (i1 * i2))
-			|R f2 -> normalize (return_R ((float_of_int i1) *. f2))
-			|Vec (size2, vec2) -> 
-			    raise (Value_operation "Vector_Scalar i1 *~ vec2")
-			|Zero -> return_N 0
-			|W -> if i1 = 0 then N 0 else fail
-	        )
-	|R f1 ->
-		(
-			match v2 with
-			|N i2 -> normalize (return_R (f1 *. (float_of_int i2)))
-			|R f2 -> normalize (return_R (f1 *. f2))
-			|Vec (size2, vec2) -> 
-			    raise (Value_operation "Vector_Scalar f1 *~ vec2")
-			|Zero -> return_R 0.
-			|W -> if f1 = 0. then R 0. else fail
-		)
-	|Zero -> 
-		(
-			match v2 with
-			|N i2 -> return_N 0
-			|R f2 -> return_R 0.
-			|Vec (size2, vec2) -> make_vector size2 (fun i -> v_mul Zero (vec2 i))
-			|Zero -> Zero
-			|W -> Zero (* Danger! *)
-		)
-	|W ->
-		(
-			match v2 with
-			|N i2 -> if i2 = 0 then N 0 else fail
-			|R f2 -> if f2 = 0. then R 0. else fail
-			|Vec (size2, vec2) -> 
-			    raise (Value_operation "Vector_Scalar W +~ vec2")
-			|Zero -> Zero
-			|W -> fail
-		);;
-
-
-(** val ( *~ ) : value -> value -> value, operator of v_mul.*)
-let ( *~ ) v1 v2 = v_mul v1 v2;;
-
-
-(** val v_recip : value -> value, v_recip v = 1./.v.*)
-let rec v_recip v = match v with
-	|N i -> v_recip (R (float_of_int i))
-	|R f -> if f = 0. then fail else return_R (1./.f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_recip (vec i))
-	|Zero -> fail
-	|W -> return_R 0. ;; (* Danger! *)
-
-
-(** val v_div : value -> value -> value, value division, returns (v1/.v2).*)
-let v_div v1 v2 = 
-  match (v1, v2) with
-  | (N i1, N i2) -> N (i1/i2)
-  | _ -> v_mul v1 (v_recip v2);;
-
-
-(** val (/~) : value -> value -> value, operator of v_div.*)
-let (/~) v1 v2 = v_div v1 v2;;  
-
-
-(** val v_zero : value -> value, Attention: N i -> N 0 | R f -> R 0. | Zero -> Zero | W -> R 0., 
-and recursive for value.Vec.*)
-let rec v_zero v = match v with
-	|N i -> N 0
-	|R f -> R 0.
-	|Vec (size, vec) -> make_vector size (fun i -> v_zero (vec i))
-	|Zero -> Zero (* Danger! *)
-	|W -> R 0.;; (* Danger! *)
-
-
-(** val v_floor : value -> value, returns floor of float, converts int to float, Zero to 0.,
- error to error, recursive for value.Vec.*)
-let rec v_floor v = match v with
-	|N i -> return_R (float_of_int i)
-	|R f -> return_R (floor f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_floor (vec i))
-	|Zero -> return_R 0.
-	|W -> W;;
-
-
-(** val v_int : value -> value, converts value to value.N, error to error, recursive for value.Vec.*)
-let rec v_int v = match v with
-	|N i -> v
-	|R f -> return_N (int_of_float f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_int (vec i))
-	|Zero -> return_N 0
-	|W -> W;;
-
-
-(** val v_sin : value -> value, returns sin(v), recursive for value.Vec.*)
-let rec v_sin v = match v with
-	|N i -> return_R (sin (float_of_int i))
-	|R f -> return_R (sin f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_sin (vec i))
-	|Zero -> return_R (sin 0.)
-	|W -> W;;
-
-(** val v_cos : value -> value, returns cos(v), recursive for value.Vec.*)
-let rec v_cos v = match v with
-	|N i -> return_R (cos (float_of_int i))
-	|R f -> return_R (cos f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_cos (vec i))
-	|Zero -> return_R (cos 0.)
-	|W -> W;;
-
-(** val v_atan : value -> value, returns atan(v), recursive for value.Vec.*)
-let rec v_atan v = match v with
-	|N i -> return_R (atan (float_of_int i))
-	|R f -> return_R (atan f)
-	|Vec (size, vec) -> make_vector size (fun i -> v_atan (vec i))
-	|Zero -> return_R (atan 0.)
-	|W -> W;;
-
-
-(** val v_atantwo : value -> value, returns atantwo(v), recursive for value.Vec.*)
-let rec v_atantwo v1 v2 = match (v1, v2) with
-        | (N i1, N i2) -> v_atantwo (R (float_of_int i1)) (R (float_of_int i2))
-	| (N i1, R f2) -> v_atantwo (R (float_of_int i1)) v2
-	| (N i1, Zero) -> v_atantwo (R (float_of_int i1)) (R 0.)
-	| (N i1, Vec (size2, vec2)) -> raise (Value_operation "atan2 sca vec.")
-	| (N i1, W) -> W
-
-	| (R f1, N i2) -> v_atantwo v1 (R (float_of_int i2))
-	| (R f1, R f2) -> R (atan2 f1 f2)
-	| (R f1, Zero) -> v_atantwo v1 (R 0.)
-	| (R f1, Vec (size2, vec2)) -> raise (Value_operation "atan2 sca vec.")
-	| (R f1, W) -> W
-
-	| (Vec (size1, vec1), Vec (size2, vec2)) -> make_vector size1 (fun i -> v_atantwo (vec1 i) (vec2 i))
-	| (Vec (size1, vec1), Zero) -> make_vector size1 (fun i -> v_atantwo (vec1 i) Zero)
-	| (Vec (size1, vec1), _) -> raise (Value_operation "atan2 vec sca.")
- 
-	| (Zero, N i2) -> v_atantwo (R 0.) (R (float_of_int i2))
-	| (Zero, R f2) -> v_atantwo (R 0.) v2
-	| (Zero, Vec (size2, vec2)) -> make_vector size2 (fun i -> v_atantwo Zero (vec2 i))
-	| (Zero, Zero) -> v_atantwo (R 0.) (R 0.)
-	| (Zero, W) -> W
-
-	| (W, Vec (size2, vec2)) -> raise (Value_operation "atan2 sca vec.")
-	| (W, _) -> W;;
-
-
-(** val v_sqrt : value -> value, returns sqrt(v), recursive for value.Vec.*)
-let rec v_sqrt v = match v with
-	|N i -> 
-	    if i >= 0 then return_R (sqrt (float_of_int i))
-	    else raise (Value_operation "sqrt parameter < 0.")
-	|R f -> 
-	    if f >= 0. then return_R (sqrt f)
-	    else raise (Value_operation "sqrt parameter < 0.")
-	|Vec (size, vec) -> make_vector size (fun i -> v_sqrt (vec i))
-	|Zero -> return_R (sqrt 0.)
-	|W -> W;;
-
-
-(** val v_mod : value -> value -> value, returns (v1 % v2), recursive for value.Vec.*)
-let rec v_mod v1 v2 = match v1 with
-	|N i1 ->
-		(
-			match v2 with
-			|N i2 -> return_N (i1 mod i2)
-			|R f2 -> return_N (i1 mod (int_of_float f2))
-			|Vec (size, vec) -> raise (Value_operation "Scalaire_Vector: int mod vec.")
-			|Zero -> raise (Value_operation "v1 mod v2: v2 cannot be zero.")
-			|W -> W
-		)
-	|R f1 -> let i = return_N (int_of_float f1) in v_mod i v2
-	|Vec (size1, vec1) ->
-		(
-			match v2 with
-			|Vec (size2, vec2) -> 
-				if size1 = size2 then 
-				  make_vector size1 (fun i -> v_mod (vec1 i) (vec2 i))
-				else raise (Value_operation "vector size not matched.")
-			|Zero -> raise (Value_operation "v1 mod v2: v2 cannot be zero.")
-			|_ -> raise (Value_operation "Vector_Scalaire: vec mod int.")
-		)
-	|Zero -> 
-		(
-			match v2 with
-			|Vec (size2, vec2) -> 
-			        let v = make_vector size2 (fun i -> Zero) in
-				v_mod v v2
-			|_ -> v_mod (N 0) v2
-		)
-	|W -> 
-		(
-			match v2 with
-			|Vec (size2, vec2) -> raise (Value_operation "Scalaire_Vector: int mod vec.")
-			|Zero -> raise (Value_operation "v1 mod v2: v2 cannot be zero.")
-			|_ -> W
-		);;
-
-
-(** val v_larger_than_zero : value -> value, primitive comparison between value and zero, 
-returns value.N 1 if true, value.N 0 if false.*)
-let rec v_larger_than_zero v = match v with
-	|N i -> if i > 0 then return_N 1 else return_N 0
-	|R f -> if f > 0. then return_N 1 else return_N 0
-	|Vec (size, vec) -> make_vector size (fun i -> v_larger_than_zero (vec i))
-	|Zero -> return_N 0
-	|W -> W;;
-
-
-(** val v_sup : value -> value -> value, comparison of two values, returns value.N 1 if (v1 > v2), 
-value.N 0 else.*)
-let v_sup v1 v2 = v_larger_than_zero (v1 -~ v2);;
-
-
-(** val v_inf : value -> value -> value, comparison of two values, returns value.N 1 if (v1 < v2), 
-value.N 0 else.*)
-let v_inf v1 v2 = v_larger_than_zero (v2 -~ v1);;
-
+open Basic;;
+
+let convert : (basic -> 'a) -> basic -> 'a = 
+  fun oper -> fun b -> oper b;;
+
+class value : basic -> value_type = 
+  fun (b_init : basic) ->
+    object (self)
+      val mutable b = b_init
+      method get = b
+      method normalize = b <- basic_normalize self#get
+
+      method to_float = convert basic_to_float self#get
+      method to_int = convert basic_to_int self#get      
+      method to_float_array = convert basic_to_float_array self#get
+      method to_string = convert basic_to_string self#get
+
+      method private prim1 : (basic -> basic) -> value = 
+	fun oper -> 
+	  new value (oper self#get)
+
+      method neg = self#prim1 basic_neg
+      method recip = self#prim1 basic_recip
+      method zero = self#prim1 basic_zero
+      method floor = self#prim1 basic_floor
+      method int = self#prim1 basic_int
+      method sin = self#prim1 basic_sin
+      method cos = self#prim1 basic_cos
+      method atan = self#prim1 basic_atan
+      method sqrt = self#prim1 basic_sqrt
+
+      method private prim2 : (basic -> basic -> basic) -> value -> value = 
+	fun oper ->
+	  fun v ->
+	    new value (oper self#get v#get)
+
+      method add = self#prim2 basic_add
+      method sub = self#prim2 basic_sub
+      method mul = self#prim2 basic_mul
+      method div = self#prim2 basic_div
+      method atan2 = self#prim2 basic_atan2
+      method _mod = self#prim2 basic_mod
+      method larger = self#prim2 basic_larger
+      method smaller = self#prim2 basic_smaller
+
+    end;;