Add abstrat type matrix and data.
[Faustine.git] / interpretor / signal.ml
1 (**
2 Module: Signal
3 Description: signal definition and operations.
4 @author WANG Haisheng
5 Created: 03/06/2013 Modified: 03/06/2013
6 *)
7
8 open Types;;
9 open Basic;;
10 open Value;;
11
12 exception Signal_operation of string;;
13
14 let delay_memory_length = 10000;;
15
16 class rate : int -> int -> rate_type =
17 fun (num_init : int) ->
18 fun (denom_init : int) ->
19 let rec pgcd : int -> int -> int =
20 fun i1 -> fun i2 ->
21 let r = i1 mod i2 in
22 if r = 0 then i2 else pgcd i2 r in
23 let num_positive =
24 if num_init >= 0 then num_init
25 else (-num_init) in
26 let denom_positive =
27 if denom_init > 0 then denom_init
28 else if denom_init < 0 then -denom_init
29 else raise (Signal_operation "sample rate denominater = 0.") in
30 let factor = pgcd num_positive denom_positive in
31 let num_corrected = num_init / factor in
32 let denom_corrected = denom_init / factor in
33 object (self)
34 val _num = num_corrected
35 val _denom = denom_corrected
36 method num = _num
37 method denom = _denom
38 method to_int =
39 self#num / self#denom
40 method to_float =
41 (float_of_int self#num) /. (float_of_int self#denom)
42 method to_string =
43 (string_of_int self#num) ^ "/" ^ (string_of_int self#denom)
44 method equal : rate_type -> bool =
45 fun (r : rate_type) -> (self#num = r#num) && (self#denom = r#denom)
46 method mul : int -> rate_type =
47 fun (i : int) -> new rate (self#num * i) self#denom
48 method div : int -> rate_type =
49 fun (i : int) -> new rate self#num (self#denom * i)
50 end
51
52
53 class signal : rate_type -> (time -> value_type) -> signal_type =
54 fun (freq_init : rate_type) ->
55 fun (func_init : time -> value_type) ->
56 object (self)
57 val mutable signal_func = func_init
58 val mutable memory_length = 0
59 method frequency = freq_init
60 method at = signal_func
61
62 method private check_freq : signal_type list -> rate_type =
63 fun (sl : signal_type list) ->
64 let check : rate_type -> signal_type -> rate_type =
65 fun (f : rate_type) ->
66 fun (s : signal_type) ->
67 if f#equal s#frequency || s#frequency#num = 0 then f
68 else if f#num = 0 then s#frequency
69 else raise (Signal_operation "frequency not matched.") in
70 List.fold_left check self#frequency sl
71
72 method add_memory : int -> unit =
73 fun (length : int) ->
74 assert (length >= 0);
75 if memory_length >= length then ()
76 else
77 let memory = Hashtbl.create length in
78 let func : time -> value =
79 fun (t : time) ->
80 try Hashtbl.find memory t
81 with Not_found ->
82 let result = func_init t in
83 let () = Hashtbl.replace memory t result in
84 let () =
85 if (t - length) >= 0 then
86 Hashtbl.remove memory (t - length)
87 else () in
88 result in
89 memory_length <- length;
90 signal_func <- func
91
92 method private delay_by : int -> time -> value =
93 fun i -> fun t ->
94 if (t - i) >= 0 then
95 self#at (t - i)
96 else if t >= 0 && (t - i) < 0 then
97 (self#at 0)#zero
98 else raise (Signal_operation "Delay time < 0.")
99
100 method private prim1 :
101 (time -> value_type) -> signal_type =
102 fun (func : time -> value_type) ->
103 let freq = self#frequency in
104 new signal freq func
105
106 method private prim2 :
107 (time -> value_type -> value_type) -> signal_type -> signal_type =
108 fun (func_binary : time -> value_type -> value_type) ->
109 fun (s : signal_type) ->
110 let freq = self#check_freq [s] in
111 let func = fun t -> (func_binary t) (s#at t) in
112 new signal freq func
113
114 method neg = self#prim1 (fun t -> (self#at t)#neg)
115 method floor = self#prim1 (fun t -> (self#at t)#floor)
116 method sin = self#prim1 (fun t -> (self#at t)#sin)
117 method cos = self#prim1 (fun t -> (self#at t)#cos)
118 method atan = self#prim1 (fun t -> (self#at t)#atan)
119 method sqrt = self#prim1 (fun t -> (self#at t)#sqrt)
120 method int = self#prim1 (fun t -> (self#at t)#int)
121
122 method add = self#prim2 (fun t -> (self#at t)#add)
123 method sub = self#prim2 (fun t -> (self#at t)#sub)
124 method mul = self#prim2 (fun t -> (self#at t)#mul)
125 method div = self#prim2 (fun t -> (self#at t)#div)
126 method atan2 = self#prim2 (fun t -> (self#at t)#atan2)
127 method _mod = self#prim2 (fun t -> (self#at t)#_mod)
128 method larger = self#prim2 (fun t -> (self#at t)#larger)
129 method smaller = self#prim2 (fun t -> (self#at t)#smaller)
130 method max = self#prim2 (fun t -> (self#at t)#max)
131 method min = self#prim2 (fun t -> (self#at t)#min)
132
133 method delay : signal_type -> signal_type =
134 fun (s : signal_type) ->
135 let freq = self#check_freq [s] in
136 let () = self#add_memory delay_memory_length in
137 let func : time -> value_type =
138 fun (t : time) ->
139 let i = (s#at t)#to_int in
140 self#delay_by i t in
141 new signal freq func
142
143 method mem : signal_type =
144 let freq = self#frequency in
145 let () = self#add_memory 1 in
146 let func = fun (t : time) -> self#delay_by 1 t in
147 new signal freq func
148
149 method rdtable : signal_type -> signal_type -> signal_type =
150 fun (s_size : signal_type) ->
151 fun (s_index : signal_type) ->
152 let freq = self#check_freq [s_index] in
153 let () = self#add_memory ((s_size#at 0)#to_int) in
154 let func : time -> value_type = fun t ->
155 self#at ((s_index#at t)#to_int) in
156 new signal freq func
157
158 method select2 : signal_type -> signal_type -> signal_type =
159 fun s_first ->
160 fun s_second ->
161 let freq = self#check_freq [s_first; s_second] in
162 let func : time -> value_type =
163 fun t -> let i = (self#at t)#to_int in
164 if i = 0 then s_first#at t
165 else if i = 1 then s_second#at t
166 else raise (Signal_operation "select2 index 0|1.") in
167 new signal freq func
168
169 method select3 :
170 signal_type -> signal_type -> signal_type -> signal_type =
171 fun s_first -> fun s_second -> fun s_third ->
172 let freq = self#check_freq [s_first; s_second; s_third] in
173 let func : time -> value_type =
174 fun t -> let i = (self#at t)#to_int in
175 if i = 0 then s_first#at t
176 else if i = 1 then s_second#at t
177 else if i = 2 then s_third#at t
178 else raise (Signal_operation "select2 index 0|1.") in
179 new signal freq func
180
181 method prefix : signal_type -> signal_type =
182 fun (s_init : signal_type) ->
183 let () = self#add_memory 1 in
184 let func : time -> value_type =
185 fun t ->
186 if t = 0 then s_init#at 0
187 else if t > 0 then self#at (t - 1)
188 else raise (Signal_operation "prefix time < 0.") in
189 new signal self#frequency func
190
191
192 method vectorize : signal_type -> signal_type =
193 fun s_size ->
194 let size = (s_size#at 0)#to_int in
195 if size <= 0 then
196 raise (Signal_operation "Vectorize: size <= 0.")
197 else
198 let freq = self#frequency#div size in
199 let func : time -> value_type =
200 fun t ->
201 let vec = fun i -> (self#at (size * t + i))#get in
202 new value (Vec (new vector size vec)) in
203 new signal freq func
204
205
206 method serialize : signal_type =
207 let size =
208 match (self#at 0)#get with
209 | Vec vec -> vec#size
210 | _ -> raise (Signal_operation "Serialize: scalar input.") in
211 let freq = self#frequency#mul size in
212 let func : time -> value_type =
213 fun t ->
214 match (self#at (t/size))#get with
215 | Vec vec -> new value (vec#nth (t mod size))
216 | _ -> raise (Signal_operation
217 "Serialize: signal type not consistent.") in
218 new signal freq func
219
220 method vconcat : signal_type -> signal_type =
221 fun s ->
222 let freq = self#check_freq [s] in
223 let func : time -> value_type =
224 fun t ->
225 match ((self#at t)#get, (s#at t)#get) with
226 | (Vec vec1, Vec vec2) ->
227 let size1 = vec1#size in
228 let size2 = vec2#size in
229 let size = size1 + size2 in
230 let vec = fun i ->
231 if i < size1 then vec1#nth i
232 else vec2#nth (i - size1) in
233 new value (Vec (new vector size vec))
234 | _ -> raise (Signal_operation "Vconcat: scalar.") in
235 new signal freq func
236
237 method vpick : signal_type -> signal_type =
238 fun s_index ->
239 let freq = self#check_freq [s_index] in
240 let func : time -> value_type =
241 fun t ->
242 let i = (s_index#at t)#to_int in
243 match (self#at t)#get with
244 | Vec vec -> new value (vec#nth i)
245 | _ -> raise (Signal_operation "Vpick: scalar.") in
246 new signal freq func
247
248 end;;