package vec

  1. Overview
  2. Docs
Legend:
Page
Library
Module
Module type
Parameter
Class
Class type
Source

Source file vec.ml

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
type ('a, -'p) t =
  { mutable growth_rate: float
  ; mutable length: int
  ; mutable data: 'a array
  }

let default_growth_rate = 2.

let[@inline] array_uninit n = Array.make n (Obj.magic 0)

let make ?growth_rate:(gr=default_growth_rate) ?capacity:(c=0) () =
  if gr <= 1. then
    raise (Invalid_argument "growth_rate <= 1")
  else if c < 0 then
    raise (Invalid_argument "capacity < 0")
  else
    { growth_rate = gr
    ; length = 0
    ; data = array_uninit c
    }

let as_read_only v = (v :> ('a, [`R]) t)

let as_write_only v = (v :> ('a, [`W]) t)

let[@inline] length v = v.length
let[@inline] capacity v = Array.length v.data

let[@inline] growth_rate v = v.growth_rate

let set_growth_rate gr v =
  if gr <= 1.
  then raise (Invalid_argument "growth_rate <= 1")
  else v.growth_rate <- gr

let ensure_growth_rate gr v =
  if gr <= 1.
  then raise (Invalid_argument "growth_rate <= 1")
  else v.growth_rate <- max gr v.growth_rate

let[@inline] clear v =
  v.length <- 0;
  v.data <- [||]

let[@inline] get_exn v i =
  if i < 0 || i >= v.length
  then raise (Invalid_argument "Index out of range")
  else v.data.(i)

let[@inline] set_exn v i a =
  if i < 0 || i >= v.length
  then raise (Invalid_argument "Index out of range")
  else v.data.(i) <- a

let get v i =
  if i < 0 || i >= v.length
  then None
  else Some v.data.(i)

let[@inline] set v i a = i >= 0 && i < v.length && (v.data.(i) <- a; true)

let ensure_capacity c v =
  if c < 0 then
    raise (Invalid_argument "amount < 0")
  else
    let cap = capacity v in
    let target_cap = length v + c in
    if target_cap > cap then begin
      let cap = ref (if cap = 0 then v.growth_rate else float_of_int cap) in
      let target_cap = float_of_int target_cap in

      while !cap < target_cap do
        cap := !cap *. v.growth_rate
      done;

      let data = array_uninit (int_of_float !cap) in
      Array.blit v.data 0 data 0 v.length;
      v.data <- data
    end

let shrink_to_fit v =
  if capacity v > v.length then
    let data = array_uninit v.length in
    Array.blit v.data 0 data 0 v.length;
    v.data <- data

let push val' v =
  ensure_capacity 1 v;
  let length = v.length in
  v.length <- length + 1;
  v.data.(length) <- val'

let pop v =
  if v.length = 0 then
    None
  else
    let val' = v.data.(v.length - 1) in
    v.data.(v.length - 1) <- Obj.magic 0;
    v.length <- v.length - 1;
    Some val'

let[@inline] singleton a =
  { growth_rate = default_growth_rate
  ; length = 1
  ; data = [|a|]
  }

let find f v =
  let rec go i =
    if i = v.length
    then None
    else
      let e = v.data.(i) in
      if f e
      then Some e
      else go (i + 1)
  in
  go 0

let find_exn f v =
  match find f v with
  | None -> raise Not_found
  | Some a -> a

let add_at i a v =
  if i < 0 || i > v.length
  then false
  else begin
    ensure_capacity 1 v;

    for i' = v.length downto i + 1  do
      v.data.(i') <- v.data.(i' - 1)
    done;

    v.data.(i) <- a;
    v.length <- v.length + 1;

    true
  end

let remove_at i v =
  if i < 0 || i >= v.length
  then None
  else begin
    let a = v.data.(i) in

    for i' = i to v.length - 2  do
      v.data.(i') <- v.data.(i' + 1)
    done;

    v.length <- v.length - 1;
    v.data.(v.length) <- Obj.magic 0;

    Some a
  end

let[@inline] drop_at i v = Option.is_some (remove_at i v)

let map f v =
  let v2 = make ~growth_rate:v.growth_rate ~capacity:v.length () in
  v2.length <- v.length;

  for i = 0 to v.length - 1 do
    v2.data.(i) <- f v.data.(i)
  done;

  v2

let mapi f v =
  let v2 = make ~growth_rate:v.growth_rate ~capacity:v.length () in
  v2.length <- v.length;

  for i = 0 to v.length - 1 do
    v2.data.(i) <- f i v.data.(i)
  done;

  v2

let map_in_place f v =
  for i = 0 to v.length - 1 do
    v.data.(i) <- f v.data.(i)
  done

let map2 f v1 v2 =
  let total_l = v1.length * v2.length in
  let max_gr = max v1.growth_rate v2.growth_rate in

  let v = make ~growth_rate:max_gr ~capacity:total_l () in
  v.length <- total_l;

  let idx = ref 0 in

  for i = 0 to v1.length - 1 do
    for j = 0 to v2.length - 1 do
      v.data.(!idx) <- f v1.data.(i) v2.data.(j);
      incr idx
    done
  done;

  v

let[@inline] apply f v = map2 (@@) f v

let flatten vs =
  let max_gr = ref 0. in
  let total_l = ref 0 in

  for i = 0 to vs.length - 1 do
    let crr_v = vs.data.(i) in
    let v_gr = crr_v.growth_rate in
    if !max_gr < v_gr then
      max_gr := v_gr;

    total_l := !total_l + crr_v.length
  done;

  let v = make ~growth_rate:!max_gr ~capacity:!total_l () in
  v.length <- !total_l;

  let idx = ref 0 in

  for i = 0 to vs.length - 1 do
    let crr_v = vs.data.(i) in

    for j = 0 to crr_v.length - 1 do
      v.data.(!idx) <- crr_v.data.(j);
      incr idx
    done
  done;

  v

let append_in_place v v2 =
  ensure_capacity v2.length v;

  for i = 0 to v2.length - 1 do
    v.data.(i + v.length) <- v2.data.(i)
  done;

  v.length <- v.length + v2.length

let flat_map f v =
  let v2 = make ~growth_rate:v.growth_rate ~capacity:v.length () in

  for i = 0 to v.length - 1 do
    append_in_place v2 (f v.data.(i))
  done;

  v2

let[@inline] cartesian_product a b = map2 (fun a b -> a, b) a b

let iter f v =
  for i = 0 to v.length - 1 do
    f v.data.(i)
  done

let iteri f v =
  for i = 0 to v.length - 1 do
    f i v.data.(i)
  done

let filter f v =
  let v2 = make ~growth_rate:v.growth_rate ~capacity:v.length () in
  let l = ref 0 in

  for i = 0 to v.length - 1 do
    let e = v.data.(i) in
    if f e then
      (v2.data.(!l) <- e; incr l)
  done;

  v2.length <- !l;
  v2

let filteri f v =
  let v2 = make ~growth_rate:v.growth_rate ~capacity:v.length () in
  let l = ref 0 in

  for i = 0 to v.length - 1 do
    let e = v.data.(i) in
    if f i e then
      (v2.data.(!l) <- e; incr l)
  done;

  v2.length <- !l;
  v2

let filter_in_place f v =
  let old_l = v.length in
  let l = ref 0 in

  for i = 0 to old_l - 1 do
    let e = v.data.(i) in
    if f e then
      (v.data.(!l) <- e; incr l)
  done;

  for i = !l to old_l - 1 do
    v.data.(i) <- Obj.magic 0
  done;

  v.length <- !l

let[@inline] of_array_steal a =
  { growth_rate = default_growth_rate
  ; length = Array.length a
  ; data = a
  }

let[@inline] of_array a = of_array_steal (Array.copy a)
let[@inline] to_array v = Array.sub v.data 0 v.length

let[@inline] of_list l = of_array_steal (Array.of_list l)

let to_list v =
  let rec go acc = function
    | -1 -> acc
    | i -> go (v.data.(i) :: acc) (i - 1)
  in
  go [] (v.length - 1)

let[@inline] copy v = of_array_steal (to_array v)

let append v v2 =
  let v' = copy v in
  append_in_place v' v2;
  v'

let rev_in_place v =
  let[@inline] swap i j =
    let temp = v.data.(i) in
    v.data.(i) <- v.data.(j);
    v.data.(j) <- temp
  in
  let rec go i j =
    if i < j
    then (swap i j; go (i + 1) (j - 1))
  in
  go 0 (v.length - 1)

let[@inline] rev v =
  let v' = copy v in
  rev_in_place v';
  v'

let exists f v =
  let rec go i = i <> v.length && (f v.data.(i) || go (i + 1))
  in go 0

let for_all f v =
  let rec go i = i = v.length || (f v.data.(i) && go (i + 1))
  in go 0

let[@inline] mem e = exists ((=) e)
let[@inline] memq e = exists ((==) e)

let fold_left f z v =
  let rec go acc i =
    if i = v.length
    then acc
    else go (f acc v.data.(i)) (i + 1)
  in
  go z 0

let fold_right f v z =
  let rec go acc i =
    if i <= 0
    then acc
    else go (f v.data.(i) acc) (i - 1)
  in
  go z (v.length - 1)

let zip_with f v1 v2 =
  let min_length = min v1.length v2.length in
  let max_gr = max v1.growth_rate v2.growth_rate in

  let v = make ~growth_rate:max_gr ~capacity:min_length () in
  v.length <- min_length;

  for i = 0 to min_length - 1 do
    v.data.(i) <- f v1.data.(i) v2.data.(i)
  done;

  v

let[@inline] zip v1 v2 = zip_with (fun a b -> (a, b)) v1 v2

let[@inline] sort_by f v =
  shrink_to_fit v;
  Array.fast_sort f v.data

let[@inline] sort v = sort_by compare v

let equal_by f a b =
  if a.length <> b.length then
    false
  else
    let rec go i = i = a.length || (f a.data.(i) b.data.(i) && go (i + 1))
    in go 0

let[@inline] equal a b = equal_by (=) a b

let compare_by f a b =
  let min_l, min_l_ord =
    match a.length - b.length with
    | 0 -> a.length, 0
    | l when l < 0 -> a.length, -1
    | _ -> b.length, 1
  in
  let rec go i =
    if i = min_l
    then min_l_ord
    else
      let ord = f a.data.(i) b.data.(i) in
      if ord <> 0
      then ord
      else go (i + 1)
  in
  go 0

let[@inline] compare a b = compare_by compare a b

let pretty_print fmt v =
  if v.length = 0 then
    "[]"
  else
    let buf = Buffer.create 2 in

    Buffer.add_char buf '[';
    Buffer.add_string buf @@ fmt v.data.(0);

    for i = 1 to v.length - 1 do
      Buffer.add_string buf "; ";
      Buffer.add_string buf (fmt v.data.(i))
    done;

    Buffer.add_char buf ']';
    Buffer.contents buf

let range start end' =
  let l = (abs (end' - start) + 1) in
  let v = make ~capacity:l () in
  let rec inc i crr =
    if crr <= end' then begin
      v.data.(i) <- crr;
      inc (i + 1) (crr + 1)
    end
  in
  let rec dec i crr =
    if crr >= end' then begin
      v.data.(i) <- crr;
      dec (i + 1) (crr - 1)
    end
  in

  if start < end'
  then inc 0 start
  else dec 0 start;

  v.length <- l;
  v

module Infix = struct
  let (.![]) = get_exn
  let (.![]<-) = set_exn

  let (.?[]) = get
  let (.?[]<-) = set

  let (@) = append

  let (=|<) = map
  let[@inline] (>|=) v f = f =|< v

  let (<$>) = map
  let (<*>) = apply

  let (=<<) = flat_map
  let (>>=) v f = f =<< v

  let (--) = range
end

module Let_syntax = struct
  let[@inline] (let+) v f = map f v
  let (and+) = cartesian_product

  let[@inline] (let*) v f = flat_map f v
  let (and*) = cartesian_product
end
OCaml

Innovation. Community. Security.