let delay_memory_length = 10000;;
-class signal : int -> (time -> value_type) -> signal_type =
- fun (freq_init : int) ->
+class rate : int -> int -> rate_type =
+ fun (num_init : int) ->
+ fun (denom_init : int) ->
+ let rec pgcd : int -> int -> int =
+ fun i1 -> fun i2 ->
+ let r = i1 mod i2 in
+ if r = 0 then i2 else pgcd i2 r in
+ let num_positive =
+ if num_init >= 0 then num_init
+ else (-num_init) in
+ let denom_positive =
+ if denom_init > 0 then denom_init
+ else if denom_init < 0 then -denom_init
+ else raise (Signal_operation "sample rate denominater = 0.") in
+ let factor = pgcd num_positive denom_positive in
+ let num_corrected = num_init / factor in
+ let denom_corrected = denom_init / factor in
+ object (self)
+ val _num = num_corrected
+ val _denom = denom_corrected
+ method num = _num
+ method denom = _denom
+ method to_int =
+ self#num / self#denom
+ method to_float =
+ (float_of_int self#num) /. (float_of_int self#denom)
+ method to_string =
+ (string_of_int self#num) ^ "/" ^ (string_of_int self#denom)
+ method equal : rate_type -> bool =
+ fun (r : rate_type) -> (self#num = r#num) && (self#denom = r#denom)
+ method mul : int -> rate_type =
+ fun (i : int) -> new rate (self#num * i) self#denom
+ method div : int -> rate_type =
+ fun (i : int) -> new rate self#num (self#denom * i)
+ end
+
+
+class signal : rate_type -> (time -> value_type) -> signal_type =
+ fun (freq_init : rate_type) ->
fun (func_init : time -> value_type) ->
object (self)
val mutable signal_func = func_init
method frequency = freq_init
method at = signal_func
- method private check_freq : signal_type list -> int =
+ method private check_freq : signal_type list -> rate_type =
fun (sl : signal_type list) ->
- let check : int -> signal_type -> int =
- fun (f : int) ->
+ let check : rate_type -> signal_type -> rate_type =
+ fun (f : rate_type) ->
fun (s : signal_type) ->
- if f = s#frequency || s#frequency = 0 then f
- else if f = 0 then s#frequency
+ if f#equal s#frequency || s#frequency#num = 0 then f
+ else if f#num = 0 then s#frequency
else raise (Signal_operation "frequency not matched.") in
List.fold_left check self#frequency sl
method neg = self#prim1 (fun t -> (self#at t)#neg)
method floor = self#prim1 (fun t -> (self#at t)#floor)
+ method ceil = self#prim1 (fun t -> (self#at t)#ceil)
+ method rint = self#prim1 (fun t -> (self#at t)#rint)
method sin = self#prim1 (fun t -> (self#at t)#sin)
+ method asin = self#prim1 (fun t -> (self#at t)#asin)
method cos = self#prim1 (fun t -> (self#at t)#cos)
+ method acos = self#prim1 (fun t -> (self#at t)#acos)
+ method tan = self#prim1 (fun t -> (self#at t)#tan)
method atan = self#prim1 (fun t -> (self#at t)#atan)
+ method exp = self#prim1 (fun t -> (self#at t)#exp)
method sqrt = self#prim1 (fun t -> (self#at t)#sqrt)
+ method ln = self#prim1 (fun t -> (self#at t)#ln)
+ method lg = self#prim1 (fun t -> (self#at t)#lg)
method int = self#prim1 (fun t -> (self#at t)#int)
+ method float = self#prim1 (fun t -> (self#at t)#float)
+ method abs = self#prim1 (fun t -> (self#at t)#abs)
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 power = self#prim2 (fun t -> (self#at t)#power)
+ method _and = self#prim2 (fun t -> (self#at t)#_and)
+ method _or = self#prim2 (fun t -> (self#at t)#_or)
+ method _xor = self#prim2 (fun t -> (self#at t)#_xor)
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 fmod = self#prim2 (fun t -> (self#at t)#fmod)
+ method remainder = self#prim2 (fun t -> (self#at t)#remainder)
+ method gt = self#prim2 (fun t -> (self#at t)#gt)
+ method lt = self#prim2 (fun t -> (self#at t)#lt)
+ method geq = self#prim2 (fun t -> (self#at t)#geq)
+ method leq = self#prim2 (fun t -> (self#at t)#leq)
+ method eq = self#prim2 (fun t -> (self#at t)#eq)
+ method neq = self#prim2 (fun t -> (self#at t)#neq)
+ method max = self#prim2 (fun t -> (self#at t)#max)
+ method min = self#prim2 (fun t -> (self#at t)#min)
method delay : signal_type -> signal_type =
fun (s : signal_type) ->
let func : time -> value_type =
fun (t : time) ->
let i = (s#at t)#to_int in
- self#delay_by t i in
+ self#delay_by i t 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
+ let func = fun (t : time) -> self#delay_by 1 t in
new signal freq func
method rdtable : signal_type -> signal_type -> signal_type =
self#at ((s_index#at t)#to_int) in
new signal freq func
+ method rwtable : signal_type -> signal_type ->
+ signal_type -> signal_type -> signal_type =
+ fun init -> fun wstream -> fun windex -> fun rindex ->
+ let freq = self#check_freq [init; wstream; windex; rindex] in
+ let () = init#add_memory ((self#at 0)#to_int) in
+ let () = wstream#add_memory ((self#at 0)#to_int) in
+ let func : time -> value_type = fun (ti : time) ->
+ let rec table : time -> index -> value_type =
+ fun t -> fun i ->
+ if t > 0 then
+ (if i = (windex#at t)#to_int then (wstream#at t)
+ else table (t - 1) i)
+ else if t = 0 then
+ (if i = (windex#at 0)#to_int then (wstream#at 0)
+ else init#at i)
+ else raise (Signal_operation "signal time should be > 0") in
+ table ti ((rindex#at ti)#to_int) in
+ new signal freq func
+
method select2 : signal_type -> signal_type -> signal_type =
fun s_first ->
fun s_second ->
method prefix : signal_type -> signal_type =
fun (s_init : signal_type) ->
+ let () = self#add_memory 1 in
let func : time -> value_type =
fun t ->
if t = 0 then s_init#at 0
- else if t > 0 then self#at t
+ else if t > 0 then self#at (t - 1)
else raise (Signal_operation "prefix time < 0.") in
new signal self#frequency func
if size <= 0 then
raise (Signal_operation "Vectorize: size <= 0.")
else
- let freq = self#frequency / size in
+ let freq = self#frequency#div size in
let func : time -> value_type =
fun t ->
let vec = fun i -> (self#at (size * t + i))#get in
match (self#at 0)#get with
| Vec vec -> vec#size
| _ -> raise (Signal_operation "Serialize: scalar input.") in
- let freq = self#frequency * size in
+ let freq = self#frequency#mul size in
let func : time -> value_type =
fun t ->
match (self#at (t/size))#get with