Source file io.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
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
(* File: io.ml

   Copyright (C) 2005-

     Markus Mottl
     email: markus.mottl@gmail.com
     WWW: http://www.ocaml.info

     Jane Street Holding, LLC
     Author: Markus Mottl
     email: markus.mottl@gmail.com
     WWW: http://www.ocaml.info

   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 Street, Fifth Floor, Boston, MA  02110-1301  USA
*)

open Format
open Bigarray
open Complex

let from_col_vec v = reshape_2 (genarray_of_array1 v) (Array1.dim v) 1
let from_row_vec v = reshape_2 (genarray_of_array1 v) 1 (Array1.dim v)

let pp_open ppf = pp_open_box ppf 0
let pp_close ppf = pp_close_box ppf ()
let pp_newline ppf = pp_force_newline ppf ()
let pp_space ppf = pp_print_string ppf " "

let pp_end_row_newline ppf _ = pp_newline ppf
let pp_end_row_space ppf _ = pp_space ppf
let pp_end_col_space ppf ~row:_ ~col:_ = pp_space ppf

let pad_str pad_c max_len str =
  let str_len = String.length str in
  let diff = max_len - str_len in
  if diff = 0 then str
  else
    let res = Bytes.make max_len pad_c in
    Bytes.blit_string str 0 res diff str_len;
    Bytes.unsafe_to_string res

let pp_padded_str ppf pad_c max_len str =
  pp_print_string ppf (pad_str pad_c max_len str)

let some_space = Some ' '

let extract_buf buf buf_ppf =
  pp_print_flush buf_ppf ();
  let str = Buffer.contents buf in
  Buffer.clear buf;
  str, String.length str

let pp_el_buf pp_el buf buf_ppf el =
  pp_el buf_ppf el;
  extract_buf buf buf_ppf

let pp_buf pp buf buf_ppf =
  pp buf_ppf;
  extract_buf buf buf_ppf

let ignore2 _ _ = ()

module Context = struct
  type t = int

  let create n =
    if n < 1 then failwith "Lacaml.Io.Context.create: n < 1"
    else n

  let ellipsis_default = ref "..."

  let vertical_default, horizontal_default =
    let context = if !Sys.interactive then Some 3 else None in
    ref context, ref context

  let set_dim_defaults opt_n =
    vertical_default := opt_n;
    horizontal_default := opt_n

  let get_disp real = function
    | None -> real, real
    | Some virt -> min real (2 * virt), virt
end

let pp_mat_gen
    ?(pp_open = pp_open)
    ?(pp_close = pp_close)
    ?pp_head
    ?pp_foot
    ?(pp_end_row = pp_end_row_newline)
    ?(pp_end_col = pp_end_col_space)
    ?pp_left
    ?pp_right
    ?(pad = some_space)
    ?(ellipsis = !Context.ellipsis_default)
    ?(vertical_context = !Context.vertical_default)
    ?(horizontal_context = !Context.horizontal_default)
    pp_el ppf mat =
  let m = Array2.dim1 mat in
  if m > 0 then (
    let n = Array2.dim2 mat in
    if n > 0 then (
      let disp_m, vertical_context = Context.get_disp m vertical_context in
      let disp_n, horizontal_context = Context.get_disp n horizontal_context in
      pp_open ppf;
      let do_pp_right =
        match pp_right with
        | None -> ignore2
        | Some pp_right ->
            let buf = Buffer.create 32 in
            let buf_ppf = formatter_of_buffer buf in
            (fun ppf row ->
              let str, n_str =
                pp_buf (fun ppf -> pp_right ppf row) buf buf_ppf in
              if n_str <> 0 then (
                pp_end_col ppf ~row ~col:n;
                pp_print_string ppf str))
      in
      let has_ver = disp_m < m in
      let ver_stop = if has_ver then vertical_context - 1 else m - 1 in
      let has_hor = disp_n < n in
      let hor_stop = if has_hor then horizontal_context - 1 else n - 1 in
      let src_col_ofs = n - horizontal_context + 1 in
      let dst_col_ofs = horizontal_context in
      let src_row_ofs = m - vertical_context + 1 in
      let dst_row_ofs = vertical_context in
      let gen_fmt_row_body ~pp_nth ?(ellipsis = ellipsis)
            ?(dst_col_ofs = dst_col_ofs) src_r =
        pp_nth 0;
        for c = 1 to hor_stop do
          pp_end_col ppf ~row:src_r ~col:c;
          pp_nth c;
        done;
        if has_hor then begin
          pp_end_col ppf ~row:src_r ~col:horizontal_context;
          pp_print_string ppf ellipsis;
          for c = 0 to horizontal_context - 1 do
            pp_end_col ppf ~row:src_r ~col:(src_col_ofs + c);
            pp_nth (dst_col_ofs + c)
          done
        end
      in
      let fmt_label ~src_r label =
        pp_print_string ppf label;
        pp_end_col ppf ~row:src_r ~col:0
      in
      (match pad with
      | Some pad_c ->
          let buf = Buffer.create 32 in
          let buf_ppf = formatter_of_buffer buf in
          let ellipsis_len = String.length ellipsis in
          let max_lens =
            Array.make disp_n (if has_ver then ellipsis_len else 0)
          in
          let fmt_head_foot pp =
            let heads_foots = Array.make disp_n "" in
            let fmt_col ~src_ofs ~dst_ofs c =
              let head_foot, head_foot_len =
                pp_buf (fun ppf -> pp ppf (src_ofs + c)) buf buf_ppf
              in
              let dst_ofs_c = dst_ofs + c in
              heads_foots.(dst_ofs_c) <- head_foot;
              max_lens.(dst_ofs_c) <- max max_lens.(dst_ofs_c) head_foot_len;
            in
            for c = 0 to hor_stop do fmt_col ~src_ofs:1 ~dst_ofs:0 c done;
            if has_hor then begin
              let src_ofs = n - horizontal_context + 1 in
              let dst_ofs = horizontal_context in
              for c = 0 to horizontal_context - 1 do
                fmt_col ~src_ofs ~dst_ofs c
              done;
            end;
            heads_foots
          in
          let heads, foots =
            match pp_head, pp_foot with
            | None, None -> [||], [||]
            | Some pp_head, None -> fmt_head_foot pp_head, [||]
            | None, Some pp_foot -> [||], fmt_head_foot pp_foot
            | Some pp_head, Some pp_foot ->
                fmt_head_foot pp_head, fmt_head_foot pp_foot
          in
          let many_strs = Array.make_matrix disp_m disp_n "" in
          let fmt_strs ~src_row_ofs ~dst_row_ofs r =
            let row = many_strs.(dst_row_ofs + r) in
            let src_r = src_row_ofs + r in
            let fmt_col ~src_col_ofs ~dst_col_ofs c =
              let str, str_len =
                pp_el_buf pp_el buf buf_ppf mat.{src_r, src_col_ofs + c}
              in
              let dst_c = dst_col_ofs + c in
              row.(dst_c) <- str;
              if str_len > max_lens.(dst_c) then max_lens.(dst_c) <- str_len
            in
            for c = 0 to hor_stop do
              fmt_col ~src_col_ofs:1 ~dst_col_ofs:0 c
            done;
            if has_hor then begin
              for c = 0 to horizontal_context - 1 do
                fmt_col ~src_col_ofs ~dst_col_ofs c
              done
            end
          in
          for r = 0 to ver_stop do
            fmt_strs ~src_row_ofs:1 ~dst_row_ofs:0 r
          done;
          if has_ver then begin
            for r = 0 to vertical_context - 1 do
              fmt_strs ~src_row_ofs ~dst_row_ofs r
            done
          end;
          let head_label, row_labels, foot_label =
            match pp_left with
            | None -> "", [||], ""
            | Some pp_left ->
                let max_len_row_labels_ref = ref 0 in
                let row_labels = Array.make disp_m "" in
                let get_label i =
                  let label, len =
                    pp_buf (fun ppf -> pp_left ppf i) buf buf_ppf
                  in
                  max_len_row_labels_ref := max !max_len_row_labels_ref len;
                  label
                in
                let set_labels ~src_r ~dst_r =
                  for i = 0 to ver_stop do
                    row_labels.(dst_r + i) <- get_label (src_r + i)
                  done
                in
                set_labels ~src_r:1 ~dst_r:0;
                if has_ver then
                  set_labels ~src_r:src_row_ofs ~dst_r:vertical_context;
                let head0 = if pp_head <> None then get_label 0 else "" in
                let foot0 = if pp_foot <> None then get_label (m + 1) else "" in
                let max_len_row_labels = !max_len_row_labels_ref in
                let padded_row_labels =
                  Array.map (pad_str pad_c max_len_row_labels) row_labels
                in
                let padded_head0 = pad_str pad_c max_len_row_labels head0 in
                let padded_foot0 = pad_str pad_c max_len_row_labels foot0 in
                padded_head0, padded_row_labels, padded_foot0
          in
          let fmt_row_body ?ellipsis ~src_r row =
            let pp_nth c = pp_padded_str ppf pad_c max_lens.(c) row.(c) in
            gen_fmt_row_body ~pp_nth ?ellipsis src_r
          in
          let fmt_row_label ?ellipsis ~src_r row label =
            if pp_left <> None then fmt_label ~src_r label;
            fmt_row_body ?ellipsis ~src_r row
          in
          let fmt_row_labels ?ellipsis ~src_r rows labels i =
            if pp_left <> None then fmt_label ~src_r labels.(i);
            fmt_row_body ?ellipsis ~src_r rows.(i)
          in
          let head_foot_ellipsis = String.make (String.length ellipsis) pad_c in
          if pp_head <> None then (
            fmt_row_label
              ~ellipsis:head_foot_ellipsis ~src_r:0 heads head_label;
              do_pp_right ppf 0;
            pp_end_row ppf 0);
          fmt_row_labels ~src_r:1 many_strs row_labels 0;
          for r = 1 to ver_stop do
            pp_end_row ppf r;
            let src_r = r + 1 in
            fmt_row_labels ~src_r many_strs row_labels r;
            do_pp_right ppf src_r;
          done;
          if has_ver then begin
            pp_end_row ppf vertical_context;
            let v1 = vertical_context + 1 in
            fmt_row_label ~src_r:v1 (Array.make disp_n ellipsis)
              (String.make (String.length head_label) pad_c);
            for r = 0 to vertical_context - 1 do
              let src_r = src_row_ofs + r in
              pp_end_row ppf (src_r - 1);
              let dst_r = dst_row_ofs + r in
              fmt_row_labels ~src_r many_strs row_labels dst_r;
              do_pp_right ppf src_r;
            done;
          end;
          if pp_foot <> None then (
            pp_end_row ppf m;
            let m1 = m + 1 in
            fmt_row_label
              ~ellipsis:head_foot_ellipsis ~src_r:m1 foots foot_label;
            do_pp_right ppf m1)
      | None ->
          let maybe_pp_label row =
            match pp_left with
            | None -> ()
            | Some pp_left ->
                pp_left ppf row;
                pp_end_col ppf ~row ~col:0
          in
          let fmt_head_foot ~src_r pp_head_foot =
            maybe_pp_label src_r;
            let pp_nth c = pp_head_foot ppf c in
            gen_fmt_row_body ~pp_nth ~ellipsis:"" src_r;
            do_pp_right ppf src_r
          in
          (match pp_head with
          | None -> ()
          | Some pp_head ->
              fmt_head_foot ~src_r:0 pp_head;
              pp_end_row ppf 0);
          let fmt_row_body src_r =
            maybe_pp_label src_r;
            let pp_nth c = pp_el ppf mat.{src_r, c + 1} in
            gen_fmt_row_body ~dst_col_ofs:(src_col_ofs - 1) ~pp_nth src_r
          in
          for r = 0 to ver_stop do
            let src_r = r + 1 in
            fmt_row_body src_r;
            do_pp_right ppf src_r;
          done;
          if has_ver then begin
            pp_end_row ppf vertical_context;
            let v1 = vertical_context + 1 in
            for c = 0 to horizontal_context - 1 do
              pp_print_string ppf ellipsis;
              pp_end_col ppf ~row:v1 ~col:(src_col_ofs + c);
            done;
            for r = 0 to vertical_context - 1 do
              let src_r = src_row_ofs + r in
              pp_end_row ppf (src_r - 1);
              fmt_row_body src_r;
              do_pp_right ppf src_r;
            done;
          end;
          match pp_foot with
          | None -> ()
          | Some pp_foot ->
              pp_end_row ppf m;
              fmt_head_foot ~src_r:(m + 1) pp_foot);
      pp_close ppf))


(* Pretty-printing elements *)

type 'el pp_el_default = (formatter -> 'el -> unit) ref

let pp_float_el_default_fun ppf el = fprintf ppf "%G" el
let pp_float_el_default = ref pp_float_el_default_fun

let pp_complex_el_default_fun ppf el = fprintf ppf "(%G, %Gi)" el.re el.im
let pp_complex_el_default = ref pp_complex_el_default_fun

let pp_float_el ppf el = !pp_float_el_default ppf el
let pp_complex_el ppf el = !pp_complex_el_default ppf el

let pp_int32_el ppf n = fprintf ppf "%ld" n


(* Pretty-printing in standard style *)

(* Vectors *)

type ('el, 'elt) pp_vec =
  formatter ->
  ('el, 'elt, fortran_layout) Array1.t
  -> unit

let pp_fvec ppf vec = pp_mat_gen pp_float_el ppf (from_col_vec vec)
let pp_cvec ppf vec = pp_mat_gen pp_complex_el ppf (from_col_vec vec)
let pp_ivec ppf vec = pp_mat_gen pp_int32_el ppf (from_col_vec vec)

let pp_rfvec ppf vec =
  let mat = from_row_vec vec in
  pp_mat_gen ~pp_end_row:pp_end_row_space ~pad:None pp_float_el ppf mat

let pp_rcvec ppf vec =
  let mat = from_row_vec vec in
  pp_mat_gen ~pp_end_row:pp_end_row_space ~pad:None pp_complex_el ppf mat

let pp_rivec ppf vec =
  let mat = from_row_vec vec in
  pp_mat_gen ~pp_end_row:pp_end_row_space ~pad:None pp_int32_el ppf mat

(* Matrices *)

type ('el, 'elt) pp_mat =
  formatter ->
  ('el, 'elt, fortran_layout) Array2.t
  -> unit

let pp_fmat ppf mat = pp_mat_gen pp_float_el ppf mat
let pp_cmat ppf mat = pp_mat_gen pp_complex_el ppf mat
let pp_imat ppf mat = pp_mat_gen pp_int32_el ppf mat


(* Labeled pretty-printing *)

(* Labeled matrices *)

type ('el, 'elt) pp_labeled_mat =
  ?pp_head : (formatter -> int -> unit) option ->
  ?pp_foot : (formatter -> int -> unit) option ->
  ?pp_left : (formatter -> int -> unit) option ->
  ?pp_right : (formatter -> int -> unit) option ->
  ?pad : char option ->
  ?ellipsis : string ->
  ?vertical_context : Context.t option ->
  ?horizontal_context : Context.t option ->
  unit ->
  formatter ->
  ('el, 'elt, fortran_layout) Array2.t
  -> unit

let get_pp_head_foot_mat = function
  | None -> Some pp_print_int
  | Some pp_head -> pp_head

let get_some_pp_left_right m =
  Some (fun ppf row_col ->
    if row_col > 0 && row_col <= m then pp_print_int ppf row_col)

let get_pp_left_right m = function
  | None -> get_some_pp_left_right m
  | Some pp_left -> pp_left

let pp_labeled_mat_gen
    pp_el ?pp_head ?pp_foot ?pp_left ?pp_right ?pad
    ?ellipsis ?vertical_context ?horizontal_context () ppf mat =
  let pp_head = get_pp_head_foot_mat pp_head in
  let pp_foot = get_pp_head_foot_mat pp_foot in
  let m = Array2.dim1 mat in
  let pp_left = get_pp_left_right m pp_left in
  let pp_right = get_pp_left_right m pp_right in
  pp_mat_gen ?pp_head ?pp_foot ?pp_left ?pp_right ?pad
    ?ellipsis ?vertical_context ?horizontal_context pp_el ppf mat

let pp_labeled_fmat ?pp_head = pp_labeled_mat_gen pp_float_el ?pp_head
let pp_labeled_cmat ?pp_head = pp_labeled_mat_gen pp_complex_el ?pp_head
let pp_labeled_imat ?pp_head = pp_labeled_mat_gen pp_int32_el ?pp_head

(* String-labeled matrices *)

type ('el, 'elt) pp_lmat =
  ?print_head : bool ->
  ?print_foot : bool ->
  ?print_left : bool ->
  ?print_right : bool ->
  ?row_labels : string array ->
  ?col_labels : string array ->
  ?pad : char option ->
  ?ellipsis : string ->
  ?vertical_context : Context.t option ->
  ?horizontal_context : Context.t option ->
  unit ->
  formatter ->
  ('el, 'elt, fortran_layout) Array2.t
  -> unit

let get_some_pp_head_foot_mat col_labels =
  Some (fun ppf col -> pp_print_string ppf col_labels.(col - 1))

let get_pp_left_right_mat print m row_labels =
  if print then
    Some (fun ppf row ->
      if row > 0 && row <= m then pp_print_string ppf row_labels.(row - 1))
  else None

let pp_lmat_gen
      (pp_labeled_mat : ('el, 'elt) pp_labeled_mat)
      ?(print_head = true)
      ?(print_foot = true)
      ?(print_left = true)
      ?(print_right = true)
      ?row_labels
      ?col_labels
      ?pad
      ?ellipsis ?vertical_context ?horizontal_context
      () ppf mat =
  let pp_head, pp_foot =
    match col_labels with
    | Some col_labels when print_head ->
        if Array.length col_labels <> Array2.dim2 mat then
          invalid_arg
            "Io.pp_lmat_gen: dim(col_labels) <> dim2(mat)";
        let pp_head = get_some_pp_head_foot_mat col_labels in
        let pp_foot = if print_foot then pp_head else None in
        pp_head, pp_foot
    | Some col_labels when print_foot ->
        None, get_some_pp_head_foot_mat col_labels
    | _ -> None, None in
  let pp_left, pp_right =
    match row_labels with
    | Some row_labels ->
        let m = Array2.dim1 mat in
        if Array.length row_labels <> m then
          invalid_arg
            "Io.pp_lmat_gen: dim(row_labels) <> dim1(mat)";
        let pp_left = get_pp_left_right_mat print_left m row_labels in
        let pp_right = get_pp_left_right_mat print_right m row_labels in
        pp_left, pp_right
    | None -> None, None in
  pp_labeled_mat
    ~pp_head ~pp_foot ~pp_left ~pp_right ?pad
    ?ellipsis ?vertical_context ?horizontal_context () ppf mat

let pp_lfmat ?print_head = pp_lmat_gen pp_labeled_fmat ?print_head
let pp_lcmat ?print_head = pp_lmat_gen pp_labeled_cmat ?print_head
let pp_limat ?print_head = pp_lmat_gen pp_labeled_imat ?print_head

(* Labeled vectors *)

type ('el, 'elt) pp_labeled_vec =
  ?pp_head : (formatter -> int -> unit) ->
  ?pp_foot : (formatter -> int -> unit) ->
  ?pp_left : (formatter -> int -> unit) option ->
  ?pp_right : (formatter -> int -> unit) ->
  ?pad : char option ->
  ?ellipsis : string ->
  ?vertical_context : Context.t option ->
  ?horizontal_context : Context.t option ->
  unit ->
  formatter ->
  ('el, 'elt, fortran_layout) Array1.t
  -> unit

let pp_labeled_vec_gen
      pp_el ?pp_head ?pp_foot ?pp_left ?pp_right ?pad
      ?ellipsis ?vertical_context ?horizontal_context
      () ppf vec =
  let m = Array1.dim vec in
  let pp_left =
    match pp_left with
    | None -> get_some_pp_left_right m
    | Some None -> None
    | Some (Some pp_left) -> Some pp_left in
  let mat = from_col_vec vec in
  pp_mat_gen ?pp_head ?pp_foot ?pp_left ?pp_right ?pad
    ?ellipsis ?vertical_context ?horizontal_context
    pp_el ppf mat

let pp_labeled_fvec ?pp_head = pp_labeled_vec_gen pp_float_el ?pp_head
let pp_labeled_cvec ?pp_head = pp_labeled_vec_gen pp_complex_el ?pp_head
let pp_labeled_ivec ?pp_head = pp_labeled_vec_gen pp_int32_el ?pp_head

let some_pp_print_int = Some pp_print_int

let pp_labeled_rvec_gen
      pp_el
      ?pp_head:this_pp_head
      ?pp_foot:this_pp_foot
      ?pp_left:this_pp_left
      ?pp_right:this_pp_right
      ?pad
      ?ellipsis ?vertical_context ?horizontal_context
      () ppf vec =
  let pp_head =
    match this_pp_left with
    | None -> some_pp_print_int
    | Some None -> None
    | Some (Some this_pp_left) -> Some this_pp_left in
  let pp_foot = this_pp_right in
  let pp_left = this_pp_head in
  let pp_right = this_pp_foot in
  let mat = from_row_vec vec in
  pp_mat_gen ?pp_head ?pp_foot ?pp_left ?pp_right ?pad
    ?ellipsis ?vertical_context ?horizontal_context
    pp_el ppf mat

let pp_labeled_rfvec ?pp_head = pp_labeled_rvec_gen pp_float_el ?pp_head
let pp_labeled_rcvec ?pp_head = pp_labeled_rvec_gen pp_complex_el ?pp_head
let pp_labeled_rivec ?pp_head = pp_labeled_rvec_gen pp_int32_el ?pp_head

(* String-labeled vectors *)

type ('el, 'elt) pp_lvec =
  ?print_head : bool ->
  ?print_foot : bool ->
  ?print_left : bool ->
  ?print_right : bool ->
  ?labels : string array ->
  ?name : string ->
  ?pad : char option ->
  ?ellipsis : string ->
  ?vertical_context : Context.t option ->
  ?horizontal_context : Context.t option ->
  unit ->
  formatter ->
  ('el, 'elt, fortran_layout) Array1.t
  -> unit

let get_lvec_name = function
  | None -> None
  | Some name -> Some [| name |]

let pp_lvec_gen
      (pp_lmat : ('el, 'elt) pp_lmat)
      ?print_head ?print_foot ?print_left ?(print_right = false)
      ?labels:row_labels ?name ?pad
      ?ellipsis ?vertical_context ?horizontal_context
      () ppf vec =
  let mat = from_col_vec vec in
  let col_labels = get_lvec_name name in
  pp_lmat
    ?print_head ?print_foot ?print_left ~print_right
    ?row_labels ?col_labels ?pad ?ellipsis ?vertical_context
    ?horizontal_context () ppf mat

let pp_lfvec ?print_head = pp_lvec_gen pp_lfmat ?print_head
let pp_lcvec ?print_head = pp_lvec_gen pp_lcmat ?print_head
let pp_livec ?print_head = pp_lvec_gen pp_limat ?print_head

let pp_rlvec_gen
      (pp_lmat : ('el, 'elt) pp_lmat)
      ?print_head:print_left
      ?print_foot:print_right
      ?print_left:print_head
      ?print_right:this_print_right
      ?labels:col_labels ?name ?pad
      ?ellipsis ?vertical_context ?horizontal_context
      () ppf vec =
  let mat = from_row_vec vec in
  let row_labels = get_lvec_name name in
  let print_foot =
    match this_print_right with
    | None -> false
    | Some this_print_right -> this_print_right in
  pp_lmat
    ?print_head ~print_foot ?print_left ?print_right
    ?row_labels ?col_labels ?pad
    ?ellipsis ?vertical_context ?horizontal_context () ppf mat

let pp_rlfvec ?print_head = pp_rlvec_gen pp_lfmat ?print_head
let pp_rlcvec ?print_head = pp_rlvec_gen pp_lcmat ?print_head
let pp_rlivec ?print_head = pp_rlvec_gen pp_limat ?print_head


(* Pretty-printing in OCaml-style *)

(* Vectors *)

type ('el, 'elt) pp_el_ovec =
  formatter ->
  (formatter -> 'el -> unit) ->
  ('el, 'elt, fortran_layout) Array1.t
  -> unit

type ('el, 'elt) pp_ovec =
  formatter ->
  ('el, 'elt, fortran_layout) Array1.t
  -> unit

let pp_ocaml_open_vec ppf =
  pp_open_box ppf 2;
  pp_print_string ppf "[|";
  pp_force_newline ppf ()

let pp_ocaml_close_vec ppf =
  pp_print_string ppf ";";
  pp_close_box ppf ();
  pp_force_newline ppf ();
  pp_print_string ppf "|]"

let pp_end_row_semi ppf _ =
  pp_print_string ppf ";";
  pp_force_newline ppf ()

let pp_ovec ppf pp_el vec =
  if Array1.dim vec = 0 then pp_print_string ppf "[||]"
  else
    pp_mat_gen
      ~pp_open:pp_ocaml_open_vec
      ~pp_close:pp_ocaml_close_vec
      ~pp_end_row:pp_end_row_semi
      pp_el
      ppf
      (from_col_vec vec)

let pp_ocaml_open_rvec ppf =
  pp_open_box ppf 2;
  pp_print_string ppf "[| "

let pp_ocaml_close_rvec ppf =
  pp_print_string ppf " |]";
  pp_close_box ppf ()

let pp_end_row_semi_space ppf _ = pp_print_string ppf "; "

let pp_rovec ppf pp_el vec =
  if Array1.dim vec = 0 then pp_print_string ppf "[||]"
  else
    pp_mat_gen
      ~pp_open:pp_ocaml_open_rvec
      ~pp_close:pp_ocaml_close_rvec
      ~pp_end_row:pp_end_row_semi_space
      ~pad:None
      pp_el
      ppf
      (from_col_vec vec)

let pp_ofvec ppf vec = pp_ovec ppf pp_float_el vec
let pp_ocvec ppf vec = pp_ovec ppf pp_complex_el vec
let pp_oivec ppf vec = pp_ovec ppf pp_int32_el vec

let pp_rofvec ppf vec = pp_rovec ppf pp_float_el vec
let pp_rocvec ppf vec = pp_rovec ppf pp_complex_el vec
let pp_roivec ppf vec = pp_rovec ppf pp_int32_el vec

(* Matrices *)

type ('el, 'elt) pp_omat =
  formatter ->
  ('el, 'elt, fortran_layout) Array2.t
  -> unit

let pp_ocaml_open_mat ppf =
  pp_open_box ppf 2;
  pp_print_string ppf "[|";
  pp_force_newline ppf ();
  pp_print_string ppf "[| "

let pp_ocaml_close_mat ppf =
  pp_print_string ppf " |];";
  pp_close_box ppf ();
  pp_force_newline ppf ();
  pp_print_string ppf "|]"

let pp_ocaml_end_row_mat ppf _ =
  pp_print_string ppf " |];";
  pp_force_newline ppf ();
  pp_print_string ppf "[| "

let pp_end_col_semi_space ppf ~row:_ ~col:_ = pp_print_string ppf "; "

let pp_omat ppf pp_el mat =
  if Array2.dim1 mat = 0 || Array2.dim2 mat = 0 then pp_print_string ppf "[||]"
  else
    pp_mat_gen
      ~pp_open:pp_ocaml_open_mat
      ~pp_close:pp_ocaml_close_mat
      ~pp_end_row:pp_ocaml_end_row_mat
      ~pp_end_col:pp_end_col_semi_space
      pp_el
      ppf
      mat

let pp_ofmat ppf mat = pp_omat ppf pp_float_el mat
let pp_ocmat ppf mat = pp_omat ppf pp_complex_el mat
let pp_oimat ppf mat = pp_omat ppf pp_int32_el mat


(* Good pretty-printers for toplevels *)

module Toplevel = struct
  (* Vectors *)

  let pp_labeled_col ppf c = if c > 0 then fprintf ppf "C%d" c
  let pp_labeled_row ppf r = if r > 0 then fprintf ppf "R%d" r

  let gen_pp_vec pp_el ppf vec =
    pp_mat_gen ~pp_left:pp_labeled_row pp_el ppf (from_col_vec vec)

  let pp_fvec ppf vec = gen_pp_vec pp_float_el ppf vec
  let pp_cvec ppf vec = gen_pp_vec pp_complex_el ppf vec
  let pp_ivec ppf vec = gen_pp_vec pp_int32_el ppf vec

  let gen_pp_rvec pp_el ppf vec =
    pp_mat_gen ~pp_head:pp_labeled_row pp_el ppf (from_row_vec vec)

  let pp_rfvec ppf vec = gen_pp_rvec pp_float_el ppf vec
  let pp_rcvec ppf vec = gen_pp_rvec pp_complex_el ppf vec
  let pp_rivec ppf vec = gen_pp_rvec pp_int32_el ppf vec

  (* Matrices *)

  let gen_pp_mat pp_el ppf mat =
    pp_mat_gen ~pp_head:pp_labeled_col ~pp_left:pp_labeled_row pp_el ppf mat

  let pp_fmat ppf mat = gen_pp_mat pp_float_el ppf mat
  let pp_cmat ppf mat = gen_pp_mat pp_complex_el ppf mat
  let pp_imat ppf mat = gen_pp_mat pp_int32_el ppf mat

  let lsc n = Context.set_dim_defaults (Some (Context.create n))
end