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ShareableChunk.ml1 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# 1 "ShareableChunk.cppo.ml" (******************************************************************************) (* *) (* Sek *) (* *) (* Arthur Charguéraud, Émilie Guermeur and François Pottier *) (* *) (* Copyright Inria. All rights reserved. This file is distributed under the *) (* terms of the GNU Lesser General Public License as published by the Free *) (* Software Foundation, either version 3 of the License, or (at your *) (* option) any later version, as described in the file LICENSE. *) (* *) (******************************************************************************) open PrivateSignatures module[@inline] Make (EChunk : ECHUNK) = struct module EChunk = EChunk module Segment = EChunk.Segment type 'a chunk = 'a EChunk.t type segment = Segment.segment (* A shareable chunk, or schunk, is a hybrid, possibly ephemeral, possibly persistent data structure. It serves as a wrapper for an underlying ephemeral chunk, which we refer to as its [support]. Only a segment of this underlying chunk, which we refer to as the [view], is of interest. *) (* A schunk keeps track of the total [weight] of the elements that it contains. One element does not necessarily have weight one; a measure [m] tells us how much each element weighs. *) (* A schunk is either *shared* or *uniquely owned*. When it is shared, it cannot be modified. (Yet, the underlying chunk *can* be modified, provided the modifications take place *outside* the view of every owner.) When it is uniquely owned (which means that the underlying chunk is uniquely owned as well), it can be modified, and the underlying chunk can be modified as well. In that case, modifications within the [view] are permitted. *) (* A subtle point is that one cannot tell, by looking at a schunk, whether it is shared or uniquely owned. Indeed, a schunk stores an optional owner in its [owner] field. The meaning of this field is as follows: * If this field is [Owner.none], then this schunk is shared. * If this field holds an owner [p.owner], then this schunk may be shared or uniquely owned. Ownership is in the eye of the beholder. Every operation expects the identity [o] of the caller as an argument. If [p.owner] and [o] are in the relation [Owner.is_uniquely_owned], then the schunk is uniquely owned; otherwise, it is shared. *) (* This convention is in a sense very fragile, as it is entirely up to the caller of an operation to provide an appropriate identity [o]. Passing an incorrect identity can cause a shared schunk to be considered uniquely owned or vice-versa, resulting in incorrect behavior. *) (* Nevertheless, there is a good reason to adopt this convention. Indeed, it allows us to change the ownership regime of an arbitrary number of schunks at zero runtime cost, just by changing the identity of the caller. E.g., suppose we have a collection of uniquely-owned schunks, marked with owner [o]. In order to transition all of these schunks to shared mode, all we have to do is change our own identity to something other than [o]. *) (* A schunk can be created either uniquely-owned or shared. Later on, it can transition from uniquely-owned to shared, but not other way around: that would be unsafe, as we have no way of tracking how many pointers to a shared schunk exist. It is again up to the user to obey this restriction. *) (* The Boolean field [shared] records whether this schunk has been found at least once to be shared; this implies that it must always be found to be shared in the future. This field allows us to detect a violation by the user of the above restriction. It is used only for debugging purposes. *) (* The Boolean field [uid] assigns a unique identity to each schunk. It is used only for debugging purposes. *) (* The fields [shared] and [uid] disappear when the code is compiled in release mode. *) type 'a t = { owner : owner; support : 'a chunk; mutable view : segment; mutable weight : weight; # 90 "ShareableChunk.cppo.ml" } (* -------------------------------------------------------------------------- *) (* Logging support. *) let debug = false let[@inline] log format = if debug then Printf.fprintf stderr format else Printf.ifprintf stderr format (* -------------------------------------------------------------------------- *) (* Interpreting a measure as a weight function. *) type 'a measure = | MeasureUnit : 'a measure (* maps every value to 1 *) | MeasureSchunkWeight : 'a t measure (* maps a schunk to its weight *) let[@inline] apply (type a) (m : a measure) (x : a) : weight = match m with | MeasureUnit -> 1 | MeasureSchunkWeight -> x.weight (* -------------------------------------------------------------------------- *) (* Iteration. *) let[@inline] iter pov f p = Segment.iter pov f p.support p.view let fold_left f seed p = Adapters.fold_left (iter Front) f seed p let to_list p = Adapters.to_list (iter Back) p (* -------------------------------------------------------------------------- *) (* The unique-ownership test. *) (* [is_uniquely_owned p o] determines whether the schunk [p] is uniquely owned by the owner [o]. *) let[@inline] is_uniquely_owned p o = Owner.is_uniquely_owned p.owner o # 167 "ShareableChunk.cppo.ml" (* -------------------------------------------------------------------------- *) (* Alignment. *) (* [is_aligned p] determines whether the view covers all of the support. *) let[@inline] is_aligned p = Segment.is_aligned p.support p.view (* -------------------------------------------------------------------------- *) (* Validity of a schunk. *) (* [check m o p] verifies that the schunk [p] is valid in the eyes of an owner or co-owner [o]. *) let check_except_weight o p = (* The support must be a valid chunk. *) EChunk.check p.support; (* The view must be a valid segment of the support. *) Segment.check p.support p.view; (* If the schunk [p] is uniquely owned, then the view must in fact cover all of the support. *) assert (if is_uniquely_owned p o then is_aligned p else true) let m o p = check_except_weight o p; (* The weight stored in the [weight] field must in fact be the sum of the weights of the elements stored in this schunk. *) assert (p.weight = fold_left (fun sum x -> sum + apply m x) 0 p) (* Ensure [check] has zero cost in release mode. *) let[@inline] check m o p = assert (check m o p; true) let[@inline] validate_except_weight o p = assert (check_except_weight o p; true); p (* [check_owners p o] checks the ordering relation [p.owner <= o]. It is used only for debugging purposes. *) let check_owners p o = assert (Owner.leq p.owner o) (* -------------------------------------------------------------------------- *) (* Printing. *) let print print p = let open PPrint in let open PPrint.OCaml in record "schunk" [ # 224 "ShareableChunk.cppo.ml" "weight", int p.weight; "owner", !^ (Owner.show p.owner); "view", Segment.print p.view; "support", Segment.print (EChunk.segment p.support); "model", flowing_list print (to_list p); ] (* -------------------------------------------------------------------------- *) (* Basic accessors. *) let[@inline] default p = EChunk.default p.support let[@inline] length p = Segment.size p.view let[@inline] weight p = p.weight let[@inline] data p = EChunk.data p.support let[@inline] capacity p = EChunk.capacity p.support let[@inline] is_empty p = length p = 0 let[@inline] is_full p = length p = capacity p let[@inline] contiguous_segments p = Segment.contiguous_segments p.support p.view let iter_ranges p yield = Segment.iter_contiguous_segments (fun s -> yield (data p) (Segment.head s) (Segment.size s) ) p.support p.view (* -------------------------------------------------------------------------- *) (* Construction. *) # 277 "ShareableChunk.cppo.ml" let create d n o = let owner = o in let support = EChunk.create d n in let view = EChunk.segment support in assert (Segment.size view = 0); let weight = 0 in validate_except_weight o { owner; support; view; weight; # 288 "ShareableChunk.cppo.ml" } (* A dummy schunk is *invalid*. No operation must be applied to it, with the exception of [is_empty] and [is_full], both of which return [true] for a dummy schunk. It is used as a default value in a chunk of chunks.*) let dummy d = let owner = Owner.none and support = EChunk.dummy d and view = Segment.dummy and weight = 0 in { owner; support; view; weight; # 304 "ShareableChunk.cppo.ml" } let[@inline] is_dummy p = EChunk.is_dummy p.support let[@inline] support p = assert (is_dummy p); p.support let copy p o = (* Because the new schunk is uniquely owned by [o] (that is, unless [o] is [Owner.none]), it must satisfy [is_aligned]. Thus, we must not simply copy the underlying chunk; we must restrict its view to our view. In other words, we must not use [EChunk.copy]; we must use [Segment.sub]. *) (* Regardless of whether the new schunk is uniquely owned or shared, it is permitted and desirable to copy only the data in [p.view]. Copying more would create a memory leak. *) let owner = o and support = Segment.sub p.support p.view and view = p.view and weight = p.weight in validate_except_weight o { owner; support; view; weight; # 330 "ShareableChunk.cppo.ml" } let of_chunk_destructive c o = let owner = o and support = c and view = EChunk.segment c and weight = EChunk.length c in (* this assumes unit element weight *) validate_except_weight o { owner; support; view; weight; # 342 "ShareableChunk.cppo.ml" } let[@inline] of_array_segment d n a head size o = let c = EChunk.of_array_segment d n a head size in of_chunk_destructive c o let[@inline] make d n k v o = let c = EChunk.make d n k v in of_chunk_destructive c o let[@inline] init d n k i f o = let c = EChunk.init d n k i f in of_chunk_destructive c o (* [share p o view weight] creates a new schunk that shares the support of the existing schunk [p]. Therefore, this new schunk is immediately created in shared mode. The schunk [p] must itself be shared already with respect to owner [o]. *) let p o view weight = (* [p] must be shared. *) assert (not (is_uniquely_owned p o)); (* The new chunk is shared. *) let owner = Owner.none (* The support is not copied. *) and support = p.support in validate_except_weight o { owner; support; view; weight; # 373 "ShareableChunk.cppo.ml" } (* [sub c o view weight] creates a new schunk whose support is a new chunk, obtained by copying the segment [view] of the chunk [c]. Therefore, this new schunk is uniquely owned; its owner is set to [o]. *) let sub c o view weight = (* The new chunk is uniquely owned. *) let owner = o (* A segment of the existing chunk is copied, and a new chunk is allocated. *) and support = Segment.sub c view in validate_except_weight o { owner; support; view; weight; # 390 "ShareableChunk.cppo.ml" } (* -------------------------------------------------------------------------- *) (* Destruction. *) (* [to_chunk] is the reverse operation of [of_chunk_destructive]. Like it, it assumes that every element has unit weight. *) (* If [p] is uniquely owned, then it is destroyed and its support is re-used directly; no copy is required. If [p] is shared, then a copy is performed and a new chunk is allocated. *) let to_chunk p o = check MeasureUnit o p; if is_uniquely_owned p o then begin assert (is_aligned p); p.support end else Segment.sub p.support p.view (* -------------------------------------------------------------------------- *) (* Push. *) (* [push_unique] deals with the case where [p] is uniquely owned. Then, both the schunk [p] and its support are updated in place. *) let[@inline] push_unique pov p x m = (* Because [p] is uniquely owned, it is aligned with its support. *) assert (is_aligned p); (* This implies that its support is not full. *) assert (not (EChunk.is_full p.support)); (* Push [x] onto the support. *) EChunk.push pov p.support x; (* Update [p]'s view and weight. *) p.view <- Segment.push pov p.support p.view; p.weight <- p.weight + apply m x; p (* [push_shared] deals with the case where [p] is shared. Then, [p] cannot be mutated. Its support *can* be updated in place *if* the required update is just a push (that is, if [p] and its support are flush) *and* this push operation is permitted (that is, the support is not full). *) let[@inline] pov p x m o = let support, owner, = if Segment.is_flush pov p.support p.view && not (EChunk.is_full p.support) then (* Update the support in place. No copy required. The new schunk will be shared. *) p.support, p.owner, true else (* Allocate a fresh support. This is copy-on-write. The new schunk will be uniquely owned, unless [o] is [Owner.none]. *) Segment.sub p.support p.view, o, false in (* The following code is equivalent to [let p = { p with owner; support } in push_unique pov p x m]. *) assert (Segment.is_flush pov support p.view); assert (not (EChunk.is_full support)); EChunk.push pov support x; let view = Segment.push pov support p.view and weight = p.weight + apply m x in { owner; support; view; weight; # 462 "ShareableChunk.cppo.ml" } let[@inline] push pov p x m o = assert (not (is_full p)); if is_uniquely_owned p o then push_unique pov p x m else push_shared pov p x m o (* -------------------------------------------------------------------------- *) (* Pop. *) (* [pop_unique] deals with the case where [p] is uniquely owned. Then, both the schunk [p] and its support are updated in place. *) let[@inline] pop_unique pov p m = (* Because [p] is uniquely owned, it is aligned with its support. *) assert (is_aligned p); (* Pop an element [x] off the support. *) let x = EChunk.pop pov p.support in (* Update [p]'s view and weight. *) p.view <- Segment.pop pov p.support p.view; p.weight <- p.weight - apply m x; x, p (* [pop_shared] deals with the case where [p] is shared. Then, neither [p] nor its support can be updated in place. *) let[@inline] pov p m o = (* Read the first element of the [view] segment. *) let x = Segment.peek pov p.support p.view in (* Reduce the [view] segment and the [weight]. *) let view = Segment.pop pov p.support p.view and weight = p.weight - apply m x in (* Allocate a new schunk, which shares the support of [p]. *) x, share p o view weight let[@inline] pop pov p m o = assert (not (is_empty p)); if is_uniquely_owned p o then pop_unique pov p m else pop_shared pov p m o (* -------------------------------------------------------------------------- *) (* Peek, get, set. *) let[@inline] peek pov p = Segment.peek pov p.support p.view let[@inline] get p i = assert (0 <= i && i < length p); Segment.get p.support p.view i (* [set_unique] deals with the case where [p] is uniquely owned. [p] is updated in place. *) let[@inline] set_unique p i x delta = (* We do not assert that the schunk is uniquely owned, because this code is also called by [set_shared], where [p] is a fresh schunk and [o] is possibly [Owner.none]. *) p.weight <- p.weight + delta; Segment.set p.support p.view i x; p (* [set_shared] deals with the case where [p] is shared. *) (* A new schunk is allocated, unless we find that [x] is physically equal to the element that it replaces *and* [delta] is zero. *) let[@inline] p i x delta o = if delta = 0 && x == get p i then p else set_unique (copy p o) i x delta (* [set p i x delta o] replaces the element found at index [i] in the sequence [p] with the value [x]. [i] must be comprised between 0 included and [length c] excluded. [delta] must be the difference between the weight of [x] and the weight of the element that is replaced. *) (* A word of caution: if elements are mutable, then *when* their weight is computed matters. This is why [set] requires [delta] as an argument instead of computing [apply m x - apply m (get p i)] by itself; this computation does not make sense. *) let[@inline] set p i x delta o = assert (0 <= i && i < length p); if is_uniquely_owned p o then set_unique p i x delta else set_shared p i x delta o (* -------------------------------------------------------------------------- *) (* Concatenation. *) (* [concat_unique] deals with the case where [p2] is uniquely owned, and takes a [pov] parameter, so [p1] can be concatenated (in place) either at the front or at the back of [p2]. *) (* This is very much like [push_unique]. *) let[@inline] concat_unique pov p1 p2 = (* Because [p2] is uniquely owned, it is aligned with its support. *) assert (is_aligned p2); (* Push all of the data from [p1] at the front or back of [p2]. *) let view = Segment.copy pov p1.support p1.view p2.support p2.view in (* Update [p2] in place. *) p2.view <- view; p2.weight <- p1.weight + p2.weight; p2 (* [concat_shared] deals with the case where [p1] and [p2] are shared. *) (* We optimize the cases where the support of one schunk has enough room to accommodate the data from the other schunk. If desired, these optimizations can be safely disabled by setting [optimize] to [false]. *) let optimize = true let p1 p2 o = (* Optimization 1. The support of [p1] has free space at the end of [p1]'s view, and it has enough free space to copy all of the data from [p2]. *) if optimize && Segment.is_flush Back p1.support p1.view && EChunk.length p1.support + length p2 <= capacity p1 (* Note that [EChunk.length p1.support] is not [length p1]. The support of [p1] can contain live data outside of [p1]'s view. *) then begin (* Push all of the data from [p2] onto the end of [p1]. *) let view = Segment.copy Back p2.support p2.view p1.support p1.view in (* No new chunk is allocated. The new schunk must be considered shared. *) share p1 o view (p1.weight + p2.weight) end (* Optimization 2 (symmetric). *) else if optimize && Segment.is_flush Front p2.support p2.view && length p1 + EChunk.length p2.support <= capacity p2 then begin (* Push all of the data from [p1] in front of [p2]. *) let view = Segment.copy Front p1.support p1.view p2.support p2.view in (* No new chunk is allocated. The new schunk must be considered shared. *) share p2 o view (p1.weight + p2.weight) end (* General case. *) else begin (* Neither support can be reused. A new chunk must be allocated. *) let support = EChunk.create (default p1) (capacity p1) in let view = EChunk.segment support in assert (Segment.size view = 0); let view = Segment.copy Back p1.support p1.view support view in let view = Segment.copy Back p2.support p2.view support view in assert (view = EChunk.segment support); (* Allocate a new schunk, which can be considered uniquely owned. *) let owner = o and weight = p1.weight + p2.weight in { owner; support; view; weight; # 626 "ShareableChunk.cppo.ml" } end let[@inline] concat p1 p2 o = (* We require the two schunks to have the same capacity, so that, when we allocate a new chunk, we do not have a choice as to its capacity. *) assert (capacity p1 = capacity p2); (* The concatenated data must fit in a single chunk. *) assert (length p1 + length p2 <= capacity p2); (* Select an appropriate case. *) if is_uniquely_owned p1 o then concat_unique Back p2 p1 (* arguments reversed! *) else if is_uniquely_owned p2 o then concat_unique Front p1 p2 else concat_shared p1 p2 o (* -------------------------------------------------------------------------- *) (* Translating a weight to an index. *) (* If [m] is the unit measure, then a weight index is an index, so this translation is the identity. *) (* If [m] is not the unit measure, then we have no efficient way of performing this translation.We must scan the chunk linearly, stopping when the desired index is found. *) (* We scan from left to right, but one could also scan from right to left, and perhaps choose dynamically between left-to-right and right-to-left scanning, based on a heuristic: is [i] closer to zero or to [p.weight]? *) (* LATER *) exception Break let find_weight_index p i m = (* We might like to assert that [p] is valid, but we are missing the parameter [o] in the call [check m o p], and we cannot use a dummy owner, as that might cause a failure of the dynamic checks inside [is_uniquely_owned]. *) assert (0 <= i && i <= p.weight); (* We exploit the ability of testing whether a measure [m] is the unit measure. *) match m with | MeasureUnit -> i, i | _ -> (* Current index and current cumulative weight. *) let index, weight = ref 0, ref 0 in begin try Segment.iter Front (fun x -> let next_weight = !weight + apply m x in if i < next_weight then raise Break; weight := next_weight; index := !index + 1 ) p.support p.view with Break -> () end; !weight, !index (* Random access by weight. *) (* [adjust_weight_index p i m] invokes [find_weight_index p i m] and uses the returned weight-of-the-left-prefix to adjust the weight-index [i]. Thus, it returns a pair of an adjusted weight-index [i] and an index [j] into the schunk [p]. *) let[@inline] adjust_weight_index p i m = let weight, j = find_weight_index p i m in let i = i - weight in i, j let[@inline] get_by_weight p i m = let i, j = adjust_weight_index p i m in let x = get p j in i, x let update_by_weight m o f p i = let i, j = adjust_weight_index p i m in let x = get p j in (* let weight = apply m x in *) let x' = f x i in (* let weight' = apply m x' in assert (weight = weight'); *) let delta = 0 in set p j x' delta o (* If we remove the hypothesis that [x] and [x'] must have the same weight, then [delta] should be defined as [weight' - weight]. Note that the weight of [x] must be measured before invoking [f], because [f] can have a side effect and change the weight of [x]. *) (* -------------------------------------------------------------------------- *) (* [three_way_split_unique] deals with the case where [p] is uniquely owned. The index [j] is the index of the element [x] where the split should take place. The view [view1] and weight [weight1] describe the elements that precede [x], while [view2] and [weight2] describe the elements that follow [x]. *) (* The current implementation does not perform in-place updates, but one could do so in the future. Indeed, the support of [p] could be re-used either for [p1] or for [p2], depending on which is smaller. (We want to minimize the amount of data that is copied to a newly-allocated chunk.) The support of [p] must then be trimmed; this requires a new function [EChunk.trim c s], which reduces chunk [c] to segment [s] and writes default values to the just-emptied slots if required. See code below. LATER *) let[@inline] three_way_split_unique p o view1 weight1 j x view2 weight2 = (* Allocate two uniquely-owned schunks for the two segments. *) let p1 = sub p.support o view1 weight1 and p2 = sub p.support o view2 weight2 in assert (length p1 = j && length p2 = length p - j - 1); assert (is_aligned p1); assert (is_aligned p2); p1, x, p2 (* FOR FUTURE OPTIMIZATION OF ABOVE FUNCTION: STILL MISSING A TEST TO DECIDE WHICH SIDE TO KEEP AND WHICH SIDE TO COPY assert (is_aligned p); let n = length p in let p1 = sub p.support o view1 weight1 in let p2 = p in EChunk.trim p2.support view2; p2.view <- view2; p2.weight <- weight2; assert (length p1 = j && length p2 = n - j - 1); assert (is_aligned p1); assert (is_aligned p2); p1, x, p2 *) (* [three_way_split_shared] deals with the case where [p] is shared. *) let[@inline] p o view1 weight1 j x view2 weight2 = let p1 = share p o view1 weight1 and p2 = share p o view2 weight2 in assert (length p1 = j && length p2 = length p - j - 1); p1, x, p2 let three_way_split p i m o = assert (0 <= i && i < weight p); let weight1, j = find_weight_index p i m in let view1, x, view2 = Segment.three_way_split p.support p.view j in let weight2 = p.weight - weight1 - apply m x in if is_uniquely_owned p o then three_way_split_unique p o view1 weight1 j x view2 weight2 else three_way_split_shared p o view1 weight1 j x view2 weight2 end