File: Vector.sml

package info (click to toggle)
polyml 5.2.1-1
  • links: PTS, VCS
  • area: main
  • in suites: squeeze
  • size: 19,692 kB
  • ctags: 17,567
  • sloc: cpp: 37,221; sh: 9,591; asm: 4,120; ansic: 428; makefile: 203; ml: 191; awk: 91; sed: 10
file content (502 lines) | stat: -rw-r--r-- 15,073 bytes parent folder | download | duplicates (2)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
(*
    Title:      Standard Basis Library: Vector Structure
    Author:     David Matthews
    Copyright   David Matthews 1999, 2005

	This library is free software; you can redistribute it and/or
	modify it under the terms of the GNU Lesser General Public
	License as published by the Free Software Foundation; either
	version 2.1 of the License, or (at your option) any later version.
	
	This library is distributed in the hope that it will be useful,
	but WITHOUT ANY WARRANTY; without even the implied warranty of
	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
	Lesser General Public License for more details.
	
	You should have received a copy of the GNU Lesser General Public
	License along with this library; if not, write to the Free Software
	Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
*)

(* G&R 2004 status: updated.  Added VectorSlice and VECTOR_SLICE. *)

signature VECTOR =
  sig

    eqtype  'a vector
    val maxLen : int
    val fromList : 'a list -> 'a vector
    val tabulate : (int * (int -> 'a)) -> 'a vector
    val length : 'a vector -> int
    val sub : ('a vector * int) -> 'a
	val update: 'a vector * int * 'a -> 'a vector
	
    val concat : 'a vector list -> 'a vector
    val mapi : ((int * 'a) -> 'b) -> 'a vector -> 'b vector
    val map : ('a -> 'b) -> 'a vector -> 'b vector

    val appi : ((int * 'a) -> unit) -> 'a vector -> unit
    val app : ('a -> unit) -> 'a vector -> unit

    val foldli : ((int * 'a * 'b) -> 'b) -> 'b -> 'a vector -> 'b
    val foldri : ((int * 'a * 'b) -> 'b) -> 'b -> 'a vector -> 'b
    val foldl : (('a * 'b) -> 'b) -> 'b -> 'a vector -> 'b
    val foldr : (('a * 'b) -> 'b) -> 'b -> 'a vector -> 'b
	
	val findi: (int * 'a -> bool) -> 'a vector -> (int * 'a) option
	val find: ('a -> bool) -> 'a vector -> 'a option
	val exists: ('a -> bool) -> 'a vector -> bool
	val all: ('a -> bool) -> 'a vector -> bool
	val collate: ('a * 'a -> order) -> 'a vector * 'a vector -> order
  end;
  
local
	open RuntimeCalls
	(* Inherit the definition of vector in the initial environment.
	   We have to declare vector in the initial environment in order
	   for equality to work correctly. *)

	(* It would be simpler to be able to define these as functions
	   to or from 'a vector but that gives error messages about free
	   type variables. *)
	val System_lock: word -> unit   = RunCall.run_call1 POLY_SYS_lockseg;
	val System_loadw: word*word->word = RunCall.run_call2 POLY_SYS_load_word;
	val System_setw: word * word * word -> unit   = RunCall.run_call3 POLY_SYS_assign_word;
	val System_length: word -> word = RunCall.run_call1 POLY_SYS_get_length;
    val System_zero: word   = RunCall.run_call1 POLY_SYS_io_operation POLY_SYS_nullvector; (* A zero word. *)
	val System_move_words:
		word*int*word*int*int->unit = RunCall.run_call5 POLY_SYS_move_words

	val vecAsWord: 'a vector -> word = RunCall.unsafeCast
	and wordAsVec: word -> 'a vector = RunCall.unsafeCast
	val intAsWord: int -> word = RunCall.unsafeCast
	and wordAsInt: word -> int = RunCall.unsafeCast

	local
		val System_alloc: int*int*int->word  = RunCall.run_call3 POLY_SYS_alloc_store
	in
		(* All the arrays are initially created containing zeros and then initialised. *)
		fun alloc len = System_alloc(len, 0, 0)
	end
	
	fun unsafeSub(v: 'a vector, i: int): 'a = RunCall.unsafeCast(System_loadw (vecAsWord v, intAsWord i))
	and unsafeUpdate(v: 'a vector, i: int, new: 'a): unit =
		System_setw (vecAsWord v, intAsWord i, RunCall.unsafeCast new);
in

structure Vector: VECTOR =
struct
	(* N.B.  This implementation of vectors is implicitly used in
	   Array.extract.  Don't change this implementation without also
	   changing that. It's also used in the interface to the RTS in OS.Poll and Socket.select. *)
    type 'a vector = 'a vector

	(* The maximum vector size is limited by the size of the length field. On a
	   32 bit machine we have 24 bits of length field and 8 bits of flags so
	   the maximum value is 2^24 - 1. *)
	local
		val doCall: int*unit -> int
				 = RunCall.run_call2 RuntimeCalls.POLY_SYS_process_env
	in
		val maxLen = doCall(100, ())
	end;

    infix 9 sub (* For what it's worth *)
  
    (* Lock the arrays after they have been created.  All this does is
       switch off the "mutable" bit.  This does not prevent updating of
       itself, the signature does that by removing "update", but improves
       g.c. performance and causes equality to check for value equality
       not pointer equality. *)
	val listLength = length; (* Pick this up from the prelude. *)
 
    fun length v = wordAsInt(System_length(vecAsWord v));

	fun op sub (vec:'a vector, i: int): 'a =
	let
		val v = vecAsWord vec
	in
		if i < 0 orelse i >= wordAsInt(System_length v)
		then raise General.Subscript
		else RunCall.unsafeCast(System_loadw (v, intAsWord i))
	end
 
 	(* Create a vector from a list.  We have to treat an empty list specially
	   because we don't allow zero sized heap objects. *)
    fun fromList [] : 'a vector = wordAsVec System_zero (* Must not try to lock it. *)
      | fromList (l : 'a list) : 'a vector =
		let
		val length = listLength l;
			
		(* Make a vector initialised to zero. *)
		val vec = alloc length;
		
		(* Copy the list elements into the vector. *)
		fun init (v, i, a :: l) =
			(
			System_setw(v, intAsWord i, RunCall.unsafeCast a);
			init(v, i + 1, l)
			)
		|  init (_, _, []) = ();
		
	in
		init(vec, 0, l);
	    System_lock vec;
	    wordAsVec vec
	end
		
    fun tabulate (0, f) : 'a vector = wordAsVec System_zero (* Must not try to lock it. *)
     |  tabulate (length: int , f : int->'a): 'a vector =
	let
		val vec =
			if length > 0 then alloc length else raise General.Size;
		(* Initialise it to the function values. *)
		fun init i = 
			if length <= i then ()
			else (System_setw(vec, intAsWord i, RunCall.unsafeCast(f i)); init(i+1))
	in
		init 0;
		System_lock vec;
		wordAsVec vec
	end
	

	fun concat [] = wordAsVec System_zero
	 |  concat [v] = v (* Handle special cases to reduce copying. *)
	 |  concat l =
	let
		(* Calculate the total length *)
		fun total [] i = i
		  | total (h::t) i = total t (i+length h)
	
		val total_len = total l 0
	in
		if total_len = 0 then wordAsVec System_zero
		else
		let
			(* Allocate a new vector. *)
			val new_vec = alloc total_len
				
			fun copy_list [] _ = ()
			  | copy_list (h::t) j =
		  		let
					val v = vecAsWord h
					val src_len = length h
				in
					System_move_words(v, 0, new_vec, j, src_len);
			  		copy_list t (j+src_len)
				end
		in
			copy_list l 0;
			System_lock new_vec;
			wordAsVec new_vec
		end
	end
	
	
	fun map (f: 'a->'b) (vec: 'a vector): 'b vector =
	let
		val len = length vec
	in
		if len = 0 then wordAsVec System_zero
		else
		let
			(* Allocate a new vector. *)
			val new_vec = alloc len
			val newResult = wordAsVec new_vec
				
			fun domap i =
				if i >= len then ()
				else (unsafeUpdate(newResult, i, f(unsafeSub(vec, i))); domap(i+1))
		in
			domap 0;
			System_lock new_vec;
			newResult
		end
	end

	fun mapi (f: int*'a->'b) (vec:'a vector): 'b vector =
	let
		val len = length vec
	in
		if len = 0 then wordAsVec System_zero
		else
		let
			(* Allocate a new vector. *)
			val new_vec = alloc len
			val newResult = wordAsVec new_vec
				
			fun domap i =
				if i >= len then ()
				else (unsafeUpdate(newResult, i, f(i, unsafeSub(vec, i))); domap(i+1))
		in
			domap 0;
			System_lock new_vec;
			newResult
		end
	end
	
	(* Create a new vector with the ith element replaced by c *)
	fun update(v: 'a vector, i , c) =
		if i < 0 orelse i >= length v
		then raise Subscript
		else mapi (fn (j, s) => if j = i then c else s) v

	(* Create the other functions. *)
	structure VectorOps =
		PolyVectorOperations(
			struct
				type 'a vector = 'a vector
				fun length v = System_length(vecAsWord v)
				local val u = unsafeSub in fun unsafeSub (v: 'a vector, i: word) = u(v, wordAsInt i) end
				fun unsafeSet _ = raise Fail "Should not be called"
			end);

	open VectorOps;

	local
		(* Install the pretty printer for vectors *)
		(* We may have to do this outside the structure if we
		   have opaque signature matching. *)
		fun pretty(put: string->unit, beg: int*bool->unit,
				   brk: int*int->unit, nd: unit->unit)
				  (depth: int)
				  (printElem: 'a * int -> unit)
				  (x: 'a vector) =
			let
				val last = length x - 1
				fun put_elem (index, w, d) =
					if d = 0 then (put "..."; d-1)
					else if d < 0 then d-1
					else
					(
					printElem(w, d-1);
					if index <> last then (put ","; brk(1, 0)) else ();
					d-1
					)
			in
				beg(3, false);
				put "fromList[";
				if depth <= 0 then put "..."
				else (foldli put_elem depth x; ());
				put "]";
				nd()
			end
	in
		val unused = PolyML.install_pp pretty
	end

end (* Vector *)

structure VectorSlice =
struct
	datatype 'a slice = Slice of { vector: 'a vector,  start: int, length: int };
	
	fun length(Slice{length, ...}) = length
	
	fun op sub (Slice{vector, start, length}, i: int): 'a =
		if i < 0 orelse i >= length then raise General.Subscript
		else unsafeSub(vector, i+start)
	
	(* Create a slice from a vector. *)
	fun slice(vec: 'a vector, i: int, NONE) =
		let
			val len = Vector.length vec
		in
			if i >= 0 andalso i <= len
			then Slice{vector=vec, start=i, length=len-i} (* Length is rest of vector. *)
			else raise General.Subscript
		end
	 |  slice(vec: 'a vector, i: int, SOME l) =
		let
			val len = Vector.length vec
		in
			if i >= 0 andalso l >= 0 andalso i+l <= len
			then Slice{vector=vec, start=i, length=l} (* Length is as given. *)
			else raise General.Subscript
		end
		
	(* Slice from the whole vector. *)
	fun full v = Slice{vector=v, start=0, length=Vector.length v}

	(* Slice from existing slice *)
	fun subslice(Slice{vector, start, length}, i: int, NONE) =
		if i >= 0 andalso i <= length
		then Slice{vector=vector, start=i+start, length=length-i} (* Length is rest of array. *)
		else raise General.Subscript

	 |  subslice(Slice{vector, start, length}, i: int, SOME l) =
		if i >= 0 andalso l >= 0 andalso i+l <= length
		then Slice{vector=vector, start=i+start, length=l} (* Length is as given. *)
		else raise General.Subscript
	
	fun vector(Slice{vector, start, length}) =
		if length = 0 then wordAsVec System_zero (* Special case for zero *)
		else
		let
			(* Make a vector initialised to zero. *)
			val new_vec = alloc length
		in
			System_move_words(vecAsWord vector, start, new_vec, 0, length);
			System_lock new_vec;
			wordAsVec new_vec
		end

	fun base(Slice{vector, start, length}) = (vector, start, length)
	
	fun isEmpty(Slice{length, ...}) = length = 0

	(* Return the first item of the slice and the rest of the slice. *)
	fun getItem(Slice{length=0, ...}) = NONE
	 |  getItem(Slice{vector, start, length}) =
	 		SOME(unsafeSub(vector, start), Slice{vector=vector, start=start+1, length=length-1})
			

	fun concat [] = wordAsVec System_zero
	 |  concat l =
	let
		(* Calculate the total length *)
		fun total [] i = i
		  | total (h::t) i = total t (i+length h)
	
		val total_len = total l 0
	in
		if total_len = 0 then wordAsVec System_zero
		else
		let
			(* Allocate a new vector. *)
			val new_vec = alloc total_len
				
			fun copy_list [] _ = ()
			  | copy_list (Slice{vector, start, length}::t) j =
			  	(
					System_move_words(vecAsWord vector, start, new_vec, j, length);
			  		copy_list t (j+length)
				)
		in
			copy_list l 0;
			System_lock new_vec;
			wordAsVec new_vec
		end
	end
	
	fun map (f: 'a->'b) (Slice{vector:'a Vector.vector, start, length}): 'b Vector.vector =
		if length = 0 then wordAsVec System_zero
		else
		let
			(* Allocate a new vector. *)
			val new_vec = alloc length
			val newResult = wordAsVec new_vec
				
			fun domap i =
				if i >= length then ()
				else (unsafeUpdate(newResult, i, f(unsafeSub(vector, i+start))); domap(i+1))
		in
			domap 0;
			System_lock new_vec;
			newResult
		end

	fun mapi (f: int*'a->'b) (Slice{vector:'a Vector.vector, start, length}): 'b Vector.vector =
		if length = 0 then wordAsVec System_zero
		else
		let
			(* Allocate a new vector. *)
			val new_vec = alloc length
			val newResult = wordAsVec new_vec
				
			fun domap i =
				if i >= length then ()
				else (unsafeUpdate(newResult, i, f(i, unsafeSub(vector, i+start))); domap(i+1))
		in
			domap 0;
			System_lock new_vec;
			newResult
		end


	(* Create the other functions. *)
	structure VectorOps =
		PolyVectorOperations(
			struct
				type 'a vector = 'a slice
				fun length(Slice{length, ...}) = intAsWord length
				fun unsafeSub (Slice{vector, start, ...}, i) =
					RunCall.unsafeCast(System_loadw (vecAsWord vector, i + intAsWord start))
				fun unsafeSet _ = raise Fail "Should not be called"
			end);

	open VectorOps;

end (* VectorSlice *)

end (* Local in end *);

(* The VECTOR_SLICE signature refers to the Vector structure which complicates things. *)
signature VECTOR_SLICE =
  sig
    type 'a slice
    val length : 'a slice -> int
    val sub : ('a slice * int) -> 'a
	val full: 'a Vector.vector -> 'a slice
	val slice: 'a Vector.vector * int * int option -> 'a slice
	val subslice: 'a slice * int * int option -> 'a slice
	val base: 'a slice -> 'a Vector.vector * int * int
	val vector: 'a slice -> 'a Vector.vector
    val concat : 'a slice list -> 'a Vector.vector
	val isEmpty: 'a slice -> bool
	val getItem: 'a slice -> ('a * 'a slice) option
    val appi : ((int * 'a) -> unit) -> 'a slice -> unit
    val app : ('a -> unit) -> 'a slice -> unit
    val mapi : ((int * 'a) -> 'b) -> 'a slice -> 'b Vector.vector
    val map : ('a -> 'b) -> 'a slice -> 'b Vector.vector
    val foldli : ((int * 'a * 'b) -> 'b) -> 'b -> 'a slice -> 'b
    val foldri : ((int * 'a * 'b) -> 'b) -> 'b -> 'a slice -> 'b
    val foldl : (('a * 'b) -> 'b) -> 'b -> 'a slice -> 'b
    val foldr : (('a * 'b) -> 'b) -> 'b -> 'a slice -> 'b
	val findi: (int * 'a -> bool) -> 'a slice -> (int * 'a) option
	val find: ('a -> bool) -> 'a slice -> 'a option
	val exists: ('a -> bool) -> 'a slice -> bool
	val all: ('a -> bool) -> 'a slice -> bool
	val collate: ('a * 'a -> order) -> 'a slice * 'a slice -> order
  end;
  
structure VectorSlice :> VECTOR_SLICE = VectorSlice;

local
	open VectorSlice

	(* Install the pretty printer for vector slices *)
	(* We may have to do this outside the structure if we
	   have opaque signature matching. *)
	fun pretty(put: string->unit, beg: int*bool->unit,
			   brk: int*int->unit, nd: unit->unit)
			  (depth: int)
			  (printElem: 'a * int -> unit)
			  (x: 'a slice) =
		let
			val last = length x - 1
			fun put_elem (index, w, d) =
				if d = 0 then (put "..."; d-1)
				else if d < 0 then d-1
				else
				(
				printElem(w, d-1);
				if index <> last then (put ","; brk(1, 0)) else ();
				d-1
				)
		in
			beg(3, false);
			put "fromList[";
			if depth <= 0 then put "..."
			else (foldli put_elem depth x; ());
			put "]";
			nd()
		end
in
	val _ = PolyML.install_pp pretty
end;


(* type 'a vector is available unqualified in the global basis. *)
val vector : 'a list -> 'a vector = Vector.fromList;