LCOV - code coverage report
Current view: top level - src/backend/utils/mmgr - freepage.c (source / functions) Coverage Total Hit
Test: PostgreSQL 20devel Lines: 56.2 % 607 341
Test Date: 2026-07-08 10:15:46 Functions: 72.4 % 29 21
Legend: Lines:     hit not hit
Branches: + taken - not taken # not executed
Branches: 44.4 % 356 158

             Branch data     Line data    Source code
       1                 :             : /*-------------------------------------------------------------------------
       2                 :             :  *
       3                 :             :  * freepage.c
       4                 :             :  *    Management of free memory pages.
       5                 :             :  *
       6                 :             :  * The intention of this code is to provide infrastructure for memory
       7                 :             :  * allocators written specifically for PostgreSQL.  At least in the case
       8                 :             :  * of dynamic shared memory, we can't simply use malloc() or even
       9                 :             :  * relatively thin wrappers like palloc() which sit on top of it, because
      10                 :             :  * no allocator built into the operating system will deal with relative
      11                 :             :  * pointers.  In the future, we may find other cases in which greater
      12                 :             :  * control over our own memory management seems desirable.
      13                 :             :  *
      14                 :             :  * A FreePageManager keeps track of which 4kB pages of memory are currently
      15                 :             :  * unused from the point of view of some higher-level memory allocator.
      16                 :             :  * Unlike a user-facing allocator such as palloc(), a FreePageManager can
      17                 :             :  * only allocate and free in units of whole pages, and freeing an
      18                 :             :  * allocation can only be done given knowledge of its length in pages.
      19                 :             :  *
      20                 :             :  * Since a free page manager has only a fixed amount of dedicated memory,
      21                 :             :  * and since there is no underlying allocator, it uses the free pages
      22                 :             :  * it is given to manage to store its bookkeeping data.  It keeps multiple
      23                 :             :  * freelists of runs of pages, sorted by the size of the run; the head of
      24                 :             :  * each freelist is stored in the FreePageManager itself, and the first
      25                 :             :  * page of each run contains a relative pointer to the next run. See
      26                 :             :  * FreePageManagerGetInternal for more details on how the freelists are
      27                 :             :  * managed.
      28                 :             :  *
      29                 :             :  * To avoid memory fragmentation, it's important to consolidate adjacent
      30                 :             :  * spans of pages whenever possible; otherwise, large allocation requests
      31                 :             :  * might not be satisfied even when sufficient contiguous space is
      32                 :             :  * available.  Therefore, in addition to the freelists, we maintain an
      33                 :             :  * in-memory btree of free page ranges ordered by page number.  If a
      34                 :             :  * range being freed precedes or follows a range that is already free,
      35                 :             :  * the existing range is extended; if it exactly bridges the gap between
      36                 :             :  * free ranges, then the two existing ranges are consolidated with the
      37                 :             :  * newly-freed range to form one great big range of free pages.
      38                 :             :  *
      39                 :             :  * When there is only one range of free pages, the btree is trivial and
      40                 :             :  * is stored within the FreePageManager proper; otherwise, pages are
      41                 :             :  * allocated from the area under management as needed.  Even in cases
      42                 :             :  * where memory fragmentation is very severe, only a tiny fraction of
      43                 :             :  * the pages under management are consumed by this btree.
      44                 :             :  *
      45                 :             :  * Portions Copyright (c) 1996-2026, PostgreSQL Global Development Group
      46                 :             :  * Portions Copyright (c) 1994, Regents of the University of California
      47                 :             :  *
      48                 :             :  * IDENTIFICATION
      49                 :             :  *    src/backend/utils/mmgr/freepage.c
      50                 :             :  *
      51                 :             :  *-------------------------------------------------------------------------
      52                 :             :  */
      53                 :             : 
      54                 :             : #include "postgres.h"
      55                 :             : #include "lib/stringinfo.h"
      56                 :             : #include "miscadmin.h"
      57                 :             : 
      58                 :             : #include "utils/freepage.h"
      59                 :             : #include "utils/relptr.h"
      60                 :             : 
      61                 :             : 
      62                 :             : /* Magic numbers to identify various page types */
      63                 :             : #define FREE_PAGE_SPAN_LEADER_MAGIC     0xea4020f0
      64                 :             : #define FREE_PAGE_LEAF_MAGIC            0x98eae728
      65                 :             : #define FREE_PAGE_INTERNAL_MAGIC        0x19aa32c9
      66                 :             : 
      67                 :             : /* Doubly linked list of spans of free pages; stored in first page of span. */
      68                 :             : struct FreePageSpanLeader
      69                 :             : {
      70                 :             :     int         magic;          /* always FREE_PAGE_SPAN_LEADER_MAGIC */
      71                 :             :     Size        npages;         /* number of pages in span */
      72                 :             :     RelptrFreePageSpanLeader prev;
      73                 :             :     RelptrFreePageSpanLeader next;
      74                 :             : };
      75                 :             : 
      76                 :             : /* Common header for btree leaf and internal pages. */
      77                 :             : typedef struct FreePageBtreeHeader
      78                 :             : {
      79                 :             :     int         magic;          /* FREE_PAGE_LEAF_MAGIC or
      80                 :             :                                  * FREE_PAGE_INTERNAL_MAGIC */
      81                 :             :     Size        nused;          /* number of items used */
      82                 :             :     RelptrFreePageBtree parent; /* uplink */
      83                 :             : } FreePageBtreeHeader;
      84                 :             : 
      85                 :             : /* Internal key; points to next level of btree. */
      86                 :             : typedef struct FreePageBtreeInternalKey
      87                 :             : {
      88                 :             :     Size        first_page;     /* low bound for keys on child page */
      89                 :             :     RelptrFreePageBtree child;  /* downlink */
      90                 :             : } FreePageBtreeInternalKey;
      91                 :             : 
      92                 :             : /* Leaf key; no payload data. */
      93                 :             : typedef struct FreePageBtreeLeafKey
      94                 :             : {
      95                 :             :     Size        first_page;     /* first page in span */
      96                 :             :     Size        npages;         /* number of pages in span */
      97                 :             : } FreePageBtreeLeafKey;
      98                 :             : 
      99                 :             : /* Work out how many keys will fit on a page. */
     100                 :             : #define FPM_ITEMS_PER_INTERNAL_PAGE \
     101                 :             :     ((FPM_PAGE_SIZE - sizeof(FreePageBtreeHeader)) / \
     102                 :             :         sizeof(FreePageBtreeInternalKey))
     103                 :             : #define FPM_ITEMS_PER_LEAF_PAGE \
     104                 :             :     ((FPM_PAGE_SIZE - sizeof(FreePageBtreeHeader)) / \
     105                 :             :         sizeof(FreePageBtreeLeafKey))
     106                 :             : 
     107                 :             : /* A btree page of either sort */
     108                 :             : struct FreePageBtree
     109                 :             : {
     110                 :             :     FreePageBtreeHeader hdr;
     111                 :             :     union
     112                 :             :     {
     113                 :             :         FreePageBtreeInternalKey internal_key[FPM_ITEMS_PER_INTERNAL_PAGE];
     114                 :             :         FreePageBtreeLeafKey leaf_key[FPM_ITEMS_PER_LEAF_PAGE];
     115                 :             :     }           u;
     116                 :             : };
     117                 :             : 
     118                 :             : /* Results of a btree search */
     119                 :             : typedef struct FreePageBtreeSearchResult
     120                 :             : {
     121                 :             :     FreePageBtree *page;
     122                 :             :     Size        index;
     123                 :             :     bool        found;
     124                 :             :     unsigned    split_pages;
     125                 :             : } FreePageBtreeSearchResult;
     126                 :             : 
     127                 :             : /* Helper functions */
     128                 :             : static void FreePageBtreeAdjustAncestorKeys(FreePageManager *fpm,
     129                 :             :                                             FreePageBtree *btp);
     130                 :             : static Size FreePageBtreeCleanup(FreePageManager *fpm);
     131                 :             : static FreePageBtree *FreePageBtreeFindLeftSibling(char *base,
     132                 :             :                                                    FreePageBtree *btp);
     133                 :             : static FreePageBtree *FreePageBtreeFindRightSibling(char *base,
     134                 :             :                                                     FreePageBtree *btp);
     135                 :             : static Size FreePageBtreeFirstKey(FreePageBtree *btp);
     136                 :             : static FreePageBtree *FreePageBtreeGetRecycled(FreePageManager *fpm);
     137                 :             : static void FreePageBtreeInsertInternal(char *base, FreePageBtree *btp,
     138                 :             :                                         Size index, Size first_page, FreePageBtree *child);
     139                 :             : static void FreePageBtreeInsertLeaf(FreePageBtree *btp, Size index,
     140                 :             :                                     Size first_page, Size npages);
     141                 :             : static void FreePageBtreeRecycle(FreePageManager *fpm, Size pageno);
     142                 :             : static void FreePageBtreeRemove(FreePageManager *fpm, FreePageBtree *btp,
     143                 :             :                                 Size index);
     144                 :             : static void FreePageBtreeRemovePage(FreePageManager *fpm, FreePageBtree *btp);
     145                 :             : static void FreePageBtreeSearch(FreePageManager *fpm, Size first_page,
     146                 :             :                                 FreePageBtreeSearchResult *result);
     147                 :             : static Size FreePageBtreeSearchInternal(FreePageBtree *btp, Size first_page);
     148                 :             : static Size FreePageBtreeSearchLeaf(FreePageBtree *btp, Size first_page);
     149                 :             : static FreePageBtree *FreePageBtreeSplitPage(FreePageManager *fpm,
     150                 :             :                                              FreePageBtree *btp);
     151                 :             : static void FreePageBtreeUpdateParentPointers(char *base, FreePageBtree *btp);
     152                 :             : static void FreePageManagerDumpBtree(FreePageManager *fpm, FreePageBtree *btp,
     153                 :             :                                      FreePageBtree *parent, int level, StringInfo buf);
     154                 :             : static void FreePageManagerDumpSpans(FreePageManager *fpm,
     155                 :             :                                      FreePageSpanLeader *span, Size expected_pages,
     156                 :             :                                      StringInfo buf);
     157                 :             : static bool FreePageManagerGetInternal(FreePageManager *fpm, Size npages,
     158                 :             :                                        Size *first_page);
     159                 :             : static Size FreePageManagerPutInternal(FreePageManager *fpm, Size first_page,
     160                 :             :                                        Size npages, bool soft);
     161                 :             : static void FreePagePopSpanLeader(FreePageManager *fpm, Size pageno);
     162                 :             : static void FreePagePushSpanLeader(FreePageManager *fpm, Size first_page,
     163                 :             :                                    Size npages);
     164                 :             : static Size FreePageManagerLargestContiguous(FreePageManager *fpm);
     165                 :             : static void FreePageManagerUpdateLargest(FreePageManager *fpm);
     166                 :             : 
     167                 :             : #ifdef FPM_EXTRA_ASSERTS
     168                 :             : static Size sum_free_pages(FreePageManager *fpm);
     169                 :             : #endif
     170                 :             : 
     171                 :             : /*
     172                 :             :  * Initialize a new, empty free page manager.
     173                 :             :  *
     174                 :             :  * 'fpm' should reference caller-provided memory large enough to contain a
     175                 :             :  * FreePageManager.  We'll initialize it here.
     176                 :             :  *
     177                 :             :  * 'base' is the address to which all pointers are relative.  When managing
     178                 :             :  * a dynamic shared memory segment, it should normally be the base of the
     179                 :             :  * segment.  When managing backend-private memory, it can be either NULL or,
     180                 :             :  * if managing a single contiguous extent of memory, the start of that extent.
     181                 :             :  */
     182                 :             : void
     183                 :        3319 : FreePageManagerInitialize(FreePageManager *fpm, char *base)
     184                 :             : {
     185                 :             :     Size        f;
     186                 :             : 
     187                 :        3319 :     relptr_store(base, fpm->self, fpm);
     188                 :        3319 :     relptr_store(base, fpm->btree_root, (FreePageBtree *) NULL);
     189                 :        3319 :     relptr_store(base, fpm->btree_recycle, (FreePageSpanLeader *) NULL);
     190                 :        3319 :     fpm->btree_depth = 0;
     191                 :        3319 :     fpm->btree_recycle_count = 0;
     192                 :        3319 :     fpm->singleton_first_page = 0;
     193                 :        3319 :     fpm->singleton_npages = 0;
     194                 :        3319 :     fpm->contiguous_pages = 0;
     195                 :        3319 :     fpm->contiguous_pages_dirty = true;
     196                 :             : #ifdef FPM_EXTRA_ASSERTS
     197                 :             :     fpm->free_pages = 0;
     198                 :             : #endif
     199                 :             : 
     200         [ +  + ]:      431470 :     for (f = 0; f < FPM_NUM_FREELISTS; f++)
     201                 :      428151 :         relptr_store(base, fpm->freelist[f], (FreePageSpanLeader *) NULL);
     202                 :        3319 : }
     203                 :             : 
     204                 :             : /*
     205                 :             :  * Allocate a run of pages of the given length from the free page manager.
     206                 :             :  * The return value indicates whether we were able to satisfy the request;
     207                 :             :  * if true, the first page of the allocation is stored in *first_page.
     208                 :             :  */
     209                 :             : bool
     210                 :       16988 : FreePageManagerGet(FreePageManager *fpm, Size npages, Size *first_page)
     211                 :             : {
     212                 :             :     bool        result;
     213                 :             :     Size        contiguous_pages;
     214                 :             : 
     215                 :       16988 :     result = FreePageManagerGetInternal(fpm, npages, first_page);
     216                 :             : 
     217                 :             :     /*
     218                 :             :      * It's a bit counterintuitive, but allocating pages can actually create
     219                 :             :      * opportunities for cleanup that create larger ranges.  We might pull a
     220                 :             :      * key out of the btree that enables the item at the head of the btree
     221                 :             :      * recycle list to be inserted; and then if there are more items behind it
     222                 :             :      * one of those might cause two currently-separated ranges to merge,
     223                 :             :      * creating a single range of contiguous pages larger than any that
     224                 :             :      * existed previously.  It might be worth trying to improve the cleanup
     225                 :             :      * algorithm to avoid such corner cases, but for now we just notice the
     226                 :             :      * condition and do the appropriate reporting.
     227                 :             :      */
     228                 :       16988 :     contiguous_pages = FreePageBtreeCleanup(fpm);
     229         [ +  + ]:       16988 :     if (fpm->contiguous_pages < contiguous_pages)
     230                 :         104 :         fpm->contiguous_pages = contiguous_pages;
     231                 :             : 
     232                 :             :     /*
     233                 :             :      * FreePageManagerGetInternal may have set contiguous_pages_dirty.
     234                 :             :      * Recompute contiguous_pages if so.
     235                 :             :      */
     236                 :       16988 :     FreePageManagerUpdateLargest(fpm);
     237                 :             : 
     238                 :             : #ifdef FPM_EXTRA_ASSERTS
     239                 :             :     if (result)
     240                 :             :     {
     241                 :             :         Assert(fpm->free_pages >= npages);
     242                 :             :         fpm->free_pages -= npages;
     243                 :             :     }
     244                 :             :     Assert(fpm->free_pages == sum_free_pages(fpm));
     245                 :             :     Assert(fpm->contiguous_pages == FreePageManagerLargestContiguous(fpm));
     246                 :             : #endif
     247                 :       16988 :     return result;
     248                 :             : }
     249                 :             : 
     250                 :             : #ifdef FPM_EXTRA_ASSERTS
     251                 :             : static void
     252                 :             : sum_free_pages_recurse(FreePageManager *fpm, FreePageBtree *btp, Size *sum)
     253                 :             : {
     254                 :             :     char       *base = fpm_segment_base(fpm);
     255                 :             : 
     256                 :             :     Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC ||
     257                 :             :            btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
     258                 :             :     ++*sum;
     259                 :             :     if (btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC)
     260                 :             :     {
     261                 :             :         Size        index;
     262                 :             : 
     263                 :             : 
     264                 :             :         for (index = 0; index < btp->hdr.nused; ++index)
     265                 :             :         {
     266                 :             :             FreePageBtree *child;
     267                 :             : 
     268                 :             :             child = relptr_access(base, btp->u.internal_key[index].child);
     269                 :             :             sum_free_pages_recurse(fpm, child, sum);
     270                 :             :         }
     271                 :             :     }
     272                 :             : }
     273                 :             : static Size
     274                 :             : sum_free_pages(FreePageManager *fpm)
     275                 :             : {
     276                 :             :     FreePageSpanLeader *recycle;
     277                 :             :     char       *base = fpm_segment_base(fpm);
     278                 :             :     Size        sum = 0;
     279                 :             :     int         list;
     280                 :             : 
     281                 :             :     /* Count the spans by scanning the freelists. */
     282                 :             :     for (list = 0; list < FPM_NUM_FREELISTS; ++list)
     283                 :             :     {
     284                 :             : 
     285                 :             :         if (!relptr_is_null(fpm->freelist[list]))
     286                 :             :         {
     287                 :             :             FreePageSpanLeader *candidate =
     288                 :             :                 relptr_access(base, fpm->freelist[list]);
     289                 :             : 
     290                 :             :             do
     291                 :             :             {
     292                 :             :                 sum += candidate->npages;
     293                 :             :                 candidate = relptr_access(base, candidate->next);
     294                 :             :             } while (candidate != NULL);
     295                 :             :         }
     296                 :             :     }
     297                 :             : 
     298                 :             :     /* Count btree internal pages. */
     299                 :             :     if (fpm->btree_depth > 0)
     300                 :             :     {
     301                 :             :         FreePageBtree *root = relptr_access(base, fpm->btree_root);
     302                 :             : 
     303                 :             :         sum_free_pages_recurse(fpm, root, &sum);
     304                 :             :     }
     305                 :             : 
     306                 :             :     /* Count the recycle list. */
     307                 :             :     for (recycle = relptr_access(base, fpm->btree_recycle);
     308                 :             :          recycle != NULL;
     309                 :             :          recycle = relptr_access(base, recycle->next))
     310                 :             :     {
     311                 :             :         Assert(recycle->npages == 1);
     312                 :             :         ++sum;
     313                 :             :     }
     314                 :             : 
     315                 :             :     return sum;
     316                 :             : }
     317                 :             : #endif
     318                 :             : 
     319                 :             : /*
     320                 :             :  * Compute the size of the largest run of pages that the user could
     321                 :             :  * successfully get.
     322                 :             :  */
     323                 :             : static Size
     324                 :       19015 : FreePageManagerLargestContiguous(FreePageManager *fpm)
     325                 :             : {
     326                 :             :     char       *base;
     327                 :             :     Size        largest;
     328                 :             : 
     329                 :       19015 :     base = fpm_segment_base(fpm);
     330                 :       19015 :     largest = 0;
     331         [ +  + ]:       19015 :     if (!relptr_is_null(fpm->freelist[FPM_NUM_FREELISTS - 1]))
     332                 :             :     {
     333                 :             :         FreePageSpanLeader *candidate;
     334                 :             : 
     335         [ +  - ]:       10576 :         candidate = relptr_access(base, fpm->freelist[FPM_NUM_FREELISTS - 1]);
     336                 :             :         do
     337                 :             :         {
     338         [ +  - ]:       10576 :             if (candidate->npages > largest)
     339                 :       10576 :                 largest = candidate->npages;
     340         [ -  + ]:       10576 :             candidate = relptr_access(base, candidate->next);
     341         [ -  + ]:       10576 :         } while (candidate != NULL);
     342                 :             :     }
     343                 :             :     else
     344                 :             :     {
     345                 :        8439 :         Size        f = FPM_NUM_FREELISTS - 1;
     346                 :             : 
     347                 :             :         do
     348                 :             :         {
     349                 :      709795 :             --f;
     350         [ +  + ]:      709795 :             if (!relptr_is_null(fpm->freelist[f]))
     351                 :             :             {
     352                 :        8428 :                 largest = f + 1;
     353                 :        8428 :                 break;
     354                 :             :             }
     355         [ +  + ]:      701367 :         } while (f > 0);
     356                 :             :     }
     357                 :             : 
     358                 :       19015 :     return largest;
     359                 :             : }
     360                 :             : 
     361                 :             : /*
     362                 :             :  * Recompute the size of the largest run of pages that the user could
     363                 :             :  * successfully get, if it has been marked dirty.
     364                 :             :  */
     365                 :             : static void
     366                 :       22711 : FreePageManagerUpdateLargest(FreePageManager *fpm)
     367                 :             : {
     368         [ +  + ]:       22711 :     if (!fpm->contiguous_pages_dirty)
     369                 :        3696 :         return;
     370                 :             : 
     371                 :       19015 :     fpm->contiguous_pages = FreePageManagerLargestContiguous(fpm);
     372                 :       19015 :     fpm->contiguous_pages_dirty = false;
     373                 :             : }
     374                 :             : 
     375                 :             : /*
     376                 :             :  * Transfer a run of pages to the free page manager.
     377                 :             :  */
     378                 :             : void
     379                 :        5723 : FreePageManagerPut(FreePageManager *fpm, Size first_page, Size npages)
     380                 :             : {
     381                 :             :     Size        contiguous_pages;
     382                 :             : 
     383                 :             :     Assert(npages > 0);
     384                 :             : 
     385                 :             :     /* Record the new pages. */
     386                 :             :     contiguous_pages =
     387                 :        5723 :         FreePageManagerPutInternal(fpm, first_page, npages, false);
     388                 :             : 
     389                 :             :     /*
     390                 :             :      * If the new range we inserted into the page manager was contiguous with
     391                 :             :      * an existing range, it may have opened up cleanup opportunities.
     392                 :             :      */
     393         [ +  + ]:        5723 :     if (contiguous_pages > npages)
     394                 :             :     {
     395                 :             :         Size        cleanup_contiguous_pages;
     396                 :             : 
     397                 :        2249 :         cleanup_contiguous_pages = FreePageBtreeCleanup(fpm);
     398         [ +  + ]:        2249 :         if (cleanup_contiguous_pages > contiguous_pages)
     399                 :          74 :             contiguous_pages = cleanup_contiguous_pages;
     400                 :             :     }
     401                 :             : 
     402                 :             :     /* See if we now have a new largest chunk. */
     403         [ +  + ]:        5723 :     if (fpm->contiguous_pages < contiguous_pages)
     404                 :        4190 :         fpm->contiguous_pages = contiguous_pages;
     405                 :             : 
     406                 :             :     /*
     407                 :             :      * The earlier call to FreePageManagerPutInternal may have set
     408                 :             :      * contiguous_pages_dirty if it needed to allocate internal pages, so
     409                 :             :      * recompute contiguous_pages if necessary.
     410                 :             :      */
     411                 :        5723 :     FreePageManagerUpdateLargest(fpm);
     412                 :             : 
     413                 :             : #ifdef FPM_EXTRA_ASSERTS
     414                 :             :     fpm->free_pages += npages;
     415                 :             :     Assert(fpm->free_pages == sum_free_pages(fpm));
     416                 :             :     Assert(fpm->contiguous_pages == FreePageManagerLargestContiguous(fpm));
     417                 :             : #endif
     418                 :        5723 : }
     419                 :             : 
     420                 :             : /*
     421                 :             :  * Produce a debugging dump of the state of a free page manager.
     422                 :             :  */
     423                 :             : char *
     424                 :           0 : FreePageManagerDump(FreePageManager *fpm)
     425                 :             : {
     426                 :           0 :     char       *base = fpm_segment_base(fpm);
     427                 :             :     StringInfoData buf;
     428                 :             :     FreePageSpanLeader *recycle;
     429                 :           0 :     bool        dumped_any_freelist = false;
     430                 :             :     Size        f;
     431                 :             : 
     432                 :             :     /* Initialize output buffer. */
     433                 :           0 :     initStringInfo(&buf);
     434                 :             : 
     435                 :             :     /* Dump general stuff. */
     436                 :           0 :     appendStringInfo(&buf, "metadata: self %zu max contiguous pages = %zu\n",
     437                 :           0 :                      relptr_offset(fpm->self), fpm->contiguous_pages);
     438                 :             : 
     439                 :             :     /* Dump btree. */
     440         [ #  # ]:           0 :     if (fpm->btree_depth > 0)
     441                 :             :     {
     442                 :             :         FreePageBtree *root;
     443                 :             : 
     444                 :           0 :         appendStringInfo(&buf, "btree depth %u:\n", fpm->btree_depth);
     445         [ #  # ]:           0 :         root = relptr_access(base, fpm->btree_root);
     446                 :           0 :         FreePageManagerDumpBtree(fpm, root, NULL, 0, &buf);
     447                 :             :     }
     448         [ #  # ]:           0 :     else if (fpm->singleton_npages > 0)
     449                 :             :     {
     450                 :           0 :         appendStringInfo(&buf, "singleton: %zu(%zu)\n",
     451                 :             :                          fpm->singleton_first_page, fpm->singleton_npages);
     452                 :             :     }
     453                 :             : 
     454                 :             :     /* Dump btree recycle list. */
     455         [ #  # ]:           0 :     recycle = relptr_access(base, fpm->btree_recycle);
     456         [ #  # ]:           0 :     if (recycle != NULL)
     457                 :             :     {
     458                 :           0 :         appendStringInfoString(&buf, "btree recycle:");
     459                 :           0 :         FreePageManagerDumpSpans(fpm, recycle, 1, &buf);
     460                 :             :     }
     461                 :             : 
     462                 :             :     /* Dump free lists. */
     463         [ #  # ]:           0 :     for (f = 0; f < FPM_NUM_FREELISTS; ++f)
     464                 :             :     {
     465                 :             :         FreePageSpanLeader *span;
     466                 :             : 
     467         [ #  # ]:           0 :         if (relptr_is_null(fpm->freelist[f]))
     468                 :           0 :             continue;
     469         [ #  # ]:           0 :         if (!dumped_any_freelist)
     470                 :             :         {
     471                 :           0 :             appendStringInfoString(&buf, "freelists:\n");
     472                 :           0 :             dumped_any_freelist = true;
     473                 :             :         }
     474                 :           0 :         appendStringInfo(&buf, "  %zu:", f + 1);
     475         [ #  # ]:           0 :         span = relptr_access(base, fpm->freelist[f]);
     476                 :           0 :         FreePageManagerDumpSpans(fpm, span, f + 1, &buf);
     477                 :             :     }
     478                 :             : 
     479                 :             :     /* And return result to caller. */
     480                 :           0 :     return buf.data;
     481                 :             : }
     482                 :             : 
     483                 :             : 
     484                 :             : /*
     485                 :             :  * The first_page value stored at index zero in any non-root page must match
     486                 :             :  * the first_page value stored in its parent at the index which points to that
     487                 :             :  * page.  So when the value stored at index zero in a btree page changes, we've
     488                 :             :  * got to walk up the tree adjusting ancestor keys until we reach an ancestor
     489                 :             :  * where that key isn't index zero.  This function should be called after
     490                 :             :  * updating the first key on the target page; it will propagate the change
     491                 :             :  * upward as far as needed.
     492                 :             :  *
     493                 :             :  * We assume here that the first key on the page has not changed enough to
     494                 :             :  * require changes in the ordering of keys on its ancestor pages.  Thus,
     495                 :             :  * if we search the parent page for the first key greater than or equal to
     496                 :             :  * the first key on the current page, the downlink to this page will be either
     497                 :             :  * the exact index returned by the search (if the first key decreased)
     498                 :             :  * or one less (if the first key increased).
     499                 :             :  */
     500                 :             : static void
     501                 :        1397 : FreePageBtreeAdjustAncestorKeys(FreePageManager *fpm, FreePageBtree *btp)
     502                 :             : {
     503                 :        1397 :     char       *base = fpm_segment_base(fpm);
     504                 :             :     Size        first_page;
     505                 :             :     FreePageBtree *parent;
     506                 :             :     FreePageBtree *child;
     507                 :             : 
     508                 :             :     /* This might be either a leaf or an internal page. */
     509                 :             :     Assert(btp->hdr.nused > 0);
     510         [ +  - ]:        1397 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     511                 :             :     {
     512                 :             :         Assert(btp->hdr.nused <= FPM_ITEMS_PER_LEAF_PAGE);
     513                 :        1397 :         first_page = btp->u.leaf_key[0].first_page;
     514                 :             :     }
     515                 :             :     else
     516                 :             :     {
     517                 :             :         Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     518                 :             :         Assert(btp->hdr.nused <= FPM_ITEMS_PER_INTERNAL_PAGE);
     519                 :           0 :         first_page = btp->u.internal_key[0].first_page;
     520                 :             :     }
     521                 :        1397 :     child = btp;
     522                 :             : 
     523                 :             :     /* Loop until we find an ancestor that does not require adjustment. */
     524                 :             :     for (;;)
     525                 :           0 :     {
     526                 :             :         Size        s;
     527                 :             : 
     528         [ -  + ]:        1397 :         parent = relptr_access(base, child->hdr.parent);
     529         [ +  - ]:        1397 :         if (parent == NULL)
     530                 :        1397 :             break;
     531                 :           0 :         s = FreePageBtreeSearchInternal(parent, first_page);
     532                 :             : 
     533                 :             :         /* Key is either at index s or index s-1; figure out which. */
     534         [ #  # ]:           0 :         if (s >= parent->hdr.nused)
     535                 :             :         {
     536                 :             :             Assert(s == parent->hdr.nused);
     537                 :           0 :             --s;
     538                 :             :         }
     539                 :             :         else
     540                 :             :         {
     541                 :             :             FreePageBtree *check;
     542                 :             : 
     543         [ #  # ]:           0 :             check = relptr_access(base, parent->u.internal_key[s].child);
     544         [ #  # ]:           0 :             if (check != child)
     545                 :             :             {
     546                 :             :                 Assert(s > 0);
     547                 :           0 :                 --s;
     548                 :             :             }
     549                 :             :         }
     550                 :             : 
     551                 :             : #ifdef USE_ASSERT_CHECKING
     552                 :             :         /* Debugging double-check. */
     553                 :             :         {
     554                 :             :             FreePageBtree *check;
     555                 :             : 
     556                 :             :             check = relptr_access(base, parent->u.internal_key[s].child);
     557                 :             :             Assert(s < parent->hdr.nused);
     558                 :             :             Assert(child == check);
     559                 :             :         }
     560                 :             : #endif
     561                 :             : 
     562                 :             :         /* Update the parent key. */
     563                 :           0 :         parent->u.internal_key[s].first_page = first_page;
     564                 :             : 
     565                 :             :         /*
     566                 :             :          * If this is the first key in the parent, go up another level; else
     567                 :             :          * done.
     568                 :             :          */
     569         [ #  # ]:           0 :         if (s > 0)
     570                 :           0 :             break;
     571                 :           0 :         child = parent;
     572                 :             :     }
     573                 :        1397 : }
     574                 :             : 
     575                 :             : /*
     576                 :             :  * Attempt to reclaim space from the free-page btree.  The return value is
     577                 :             :  * the largest range of contiguous pages created by the cleanup operation.
     578                 :             :  */
     579                 :             : static Size
     580                 :       19237 : FreePageBtreeCleanup(FreePageManager *fpm)
     581                 :             : {
     582                 :       19237 :     char       *base = fpm_segment_base(fpm);
     583                 :       19237 :     Size        max_contiguous_pages = 0;
     584                 :             : 
     585                 :             :     /* Attempt to shrink the depth of the btree. */
     586         [ +  + ]:       19386 :     while (!relptr_is_null(fpm->btree_root))
     587                 :             :     {
     588         [ +  - ]:        2394 :         FreePageBtree *root = relptr_access(base, fpm->btree_root);
     589                 :             : 
     590                 :             :         /* If the root contains only one key, reduce depth by one. */
     591         [ +  + ]:        2394 :         if (root->hdr.nused == 1)
     592                 :             :         {
     593                 :             :             /* Shrink depth of tree by one. */
     594                 :             :             Assert(fpm->btree_depth > 0);
     595                 :         149 :             --fpm->btree_depth;
     596         [ +  - ]:         149 :             if (root->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     597                 :             :             {
     598                 :             :                 /* If root is a leaf, convert only entry to singleton range. */
     599                 :         149 :                 relptr_store(base, fpm->btree_root, (FreePageBtree *) NULL);
     600                 :         149 :                 fpm->singleton_first_page = root->u.leaf_key[0].first_page;
     601                 :         149 :                 fpm->singleton_npages = root->u.leaf_key[0].npages;
     602                 :             :             }
     603                 :             :             else
     604                 :             :             {
     605                 :             :                 FreePageBtree *newroot;
     606                 :             : 
     607                 :             :                 /* If root is an internal page, make only child the root. */
     608                 :             :                 Assert(root->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     609                 :           0 :                 relptr_copy(fpm->btree_root, root->u.internal_key[0].child);
     610         [ #  # ]:           0 :                 newroot = relptr_access(base, fpm->btree_root);
     611                 :           0 :                 relptr_store(base, newroot->hdr.parent, (FreePageBtree *) NULL);
     612                 :             :             }
     613                 :         149 :             FreePageBtreeRecycle(fpm, fpm_pointer_to_page(base, root));
     614                 :             :         }
     615         [ +  + ]:        2245 :         else if (root->hdr.nused == 2 &&
     616         [ +  - ]:        1208 :                  root->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     617                 :             :         {
     618                 :             :             Size        end_of_first;
     619                 :             :             Size        start_of_second;
     620                 :             : 
     621                 :        1208 :             end_of_first = root->u.leaf_key[0].first_page +
     622                 :        1208 :                 root->u.leaf_key[0].npages;
     623                 :        1208 :             start_of_second = root->u.leaf_key[1].first_page;
     624                 :             : 
     625         [ +  + ]:        1208 :             if (end_of_first + 1 == start_of_second)
     626                 :             :             {
     627                 :          65 :                 Size        root_page = fpm_pointer_to_page(base, root);
     628                 :             : 
     629         [ +  - ]:          65 :                 if (end_of_first == root_page)
     630                 :             :                 {
     631                 :          65 :                     FreePagePopSpanLeader(fpm, root->u.leaf_key[0].first_page);
     632                 :          65 :                     FreePagePopSpanLeader(fpm, root->u.leaf_key[1].first_page);
     633                 :          65 :                     fpm->singleton_first_page = root->u.leaf_key[0].first_page;
     634                 :          65 :                     fpm->singleton_npages = root->u.leaf_key[0].npages +
     635                 :          65 :                         root->u.leaf_key[1].npages + 1;
     636                 :          65 :                     fpm->btree_depth = 0;
     637                 :          65 :                     relptr_store(base, fpm->btree_root,
     638                 :             :                                  (FreePageBtree *) NULL);
     639                 :          65 :                     FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
     640                 :             :                                            fpm->singleton_npages);
     641                 :             :                     Assert(max_contiguous_pages == 0);
     642                 :          65 :                     max_contiguous_pages = fpm->singleton_npages;
     643                 :             :                 }
     644                 :             :             }
     645                 :             : 
     646                 :             :             /* Whether it worked or not, it's time to stop. */
     647                 :        1208 :             break;
     648                 :             :         }
     649                 :             :         else
     650                 :             :         {
     651                 :             :             /* Nothing more to do.  Stop. */
     652                 :             :             break;
     653                 :             :         }
     654                 :             :     }
     655                 :             : 
     656                 :             :     /*
     657                 :             :      * Attempt to free recycled btree pages.  We skip this if releasing the
     658                 :             :      * recycled page would require a btree page split, because the page we're
     659                 :             :      * trying to recycle would be consumed by the split, which would be
     660                 :             :      * counterproductive.
     661                 :             :      *
     662                 :             :      * We also currently only ever attempt to recycle the first page on the
     663                 :             :      * list; that could be made more aggressive, but it's not clear that the
     664                 :             :      * complexity would be worthwhile.
     665                 :             :      */
     666         [ +  + ]:       19350 :     while (fpm->btree_recycle_count > 0)
     667                 :             :     {
     668                 :             :         FreePageBtree *btp;
     669                 :             :         Size        first_page;
     670                 :             :         Size        contiguous_pages;
     671                 :             : 
     672                 :         149 :         btp = FreePageBtreeGetRecycled(fpm);
     673                 :         149 :         first_page = fpm_pointer_to_page(base, btp);
     674                 :         149 :         contiguous_pages = FreePageManagerPutInternal(fpm, first_page, 1, true);
     675         [ +  + ]:         149 :         if (contiguous_pages == 0)
     676                 :             :         {
     677                 :          36 :             FreePageBtreeRecycle(fpm, first_page);
     678                 :          36 :             break;
     679                 :             :         }
     680                 :             :         else
     681                 :             :         {
     682         [ +  - ]:         113 :             if (contiguous_pages > max_contiguous_pages)
     683                 :         113 :                 max_contiguous_pages = contiguous_pages;
     684                 :             :         }
     685                 :             :     }
     686                 :             : 
     687                 :       19237 :     return max_contiguous_pages;
     688                 :             : }
     689                 :             : 
     690                 :             : /*
     691                 :             :  * Consider consolidating the given page with its left or right sibling,
     692                 :             :  * if it's fairly empty.
     693                 :             :  */
     694                 :             : static void
     695                 :         519 : FreePageBtreeConsolidate(FreePageManager *fpm, FreePageBtree *btp)
     696                 :             : {
     697                 :         519 :     char       *base = fpm_segment_base(fpm);
     698                 :             :     FreePageBtree *np;
     699                 :             :     Size        max;
     700                 :             : 
     701                 :             :     /*
     702                 :             :      * We only try to consolidate pages that are less than a third full. We
     703                 :             :      * could be more aggressive about this, but that might risk performing
     704                 :             :      * consolidation only to end up splitting again shortly thereafter.  Since
     705                 :             :      * the btree should be very small compared to the space under management,
     706                 :             :      * our goal isn't so much to ensure that it always occupies the absolutely
     707                 :             :      * smallest possible number of pages as to reclaim pages before things get
     708                 :             :      * too egregiously out of hand.
     709                 :             :      */
     710         [ +  - ]:         519 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     711                 :         519 :         max = FPM_ITEMS_PER_LEAF_PAGE;
     712                 :             :     else
     713                 :             :     {
     714                 :             :         Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     715                 :           0 :         max = FPM_ITEMS_PER_INTERNAL_PAGE;
     716                 :             :     }
     717         [ -  + ]:         519 :     if (btp->hdr.nused >= max / 3)
     718                 :           0 :         return;
     719                 :             : 
     720                 :             :     /*
     721                 :             :      * If we can fit our right sibling's keys onto this page, consolidate.
     722                 :             :      */
     723                 :         519 :     np = FreePageBtreeFindRightSibling(base, btp);
     724   [ -  +  -  - ]:         519 :     if (np != NULL && btp->hdr.nused + np->hdr.nused <= max)
     725                 :             :     {
     726         [ #  # ]:           0 :         if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     727                 :             :         {
     728                 :           0 :             memcpy(&btp->u.leaf_key[btp->hdr.nused], &np->u.leaf_key[0],
     729                 :           0 :                    sizeof(FreePageBtreeLeafKey) * np->hdr.nused);
     730                 :           0 :             btp->hdr.nused += np->hdr.nused;
     731                 :             :         }
     732                 :             :         else
     733                 :             :         {
     734                 :           0 :             memcpy(&btp->u.internal_key[btp->hdr.nused], &np->u.internal_key[0],
     735                 :           0 :                    sizeof(FreePageBtreeInternalKey) * np->hdr.nused);
     736                 :           0 :             btp->hdr.nused += np->hdr.nused;
     737                 :           0 :             FreePageBtreeUpdateParentPointers(base, btp);
     738                 :             :         }
     739                 :           0 :         FreePageBtreeRemovePage(fpm, np);
     740                 :           0 :         return;
     741                 :             :     }
     742                 :             : 
     743                 :             :     /*
     744                 :             :      * If we can fit our keys onto our left sibling's page, consolidate. In
     745                 :             :      * this case, we move our keys onto the other page rather than vice versa,
     746                 :             :      * to avoid having to adjust ancestor keys.
     747                 :             :      */
     748                 :         519 :     np = FreePageBtreeFindLeftSibling(base, btp);
     749   [ -  +  -  - ]:         519 :     if (np != NULL && btp->hdr.nused + np->hdr.nused <= max)
     750                 :             :     {
     751         [ #  # ]:           0 :         if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     752                 :             :         {
     753                 :           0 :             memcpy(&np->u.leaf_key[np->hdr.nused], &btp->u.leaf_key[0],
     754                 :           0 :                    sizeof(FreePageBtreeLeafKey) * btp->hdr.nused);
     755                 :           0 :             np->hdr.nused += btp->hdr.nused;
     756                 :             :         }
     757                 :             :         else
     758                 :             :         {
     759                 :           0 :             memcpy(&np->u.internal_key[np->hdr.nused], &btp->u.internal_key[0],
     760                 :           0 :                    sizeof(FreePageBtreeInternalKey) * btp->hdr.nused);
     761                 :           0 :             np->hdr.nused += btp->hdr.nused;
     762                 :           0 :             FreePageBtreeUpdateParentPointers(base, np);
     763                 :             :         }
     764                 :           0 :         FreePageBtreeRemovePage(fpm, btp);
     765                 :           0 :         return;
     766                 :             :     }
     767                 :             : }
     768                 :             : 
     769                 :             : /*
     770                 :             :  * Find the passed page's left sibling; that is, the page at the same level
     771                 :             :  * of the tree whose keyspace immediately precedes ours.
     772                 :             :  */
     773                 :             : static FreePageBtree *
     774                 :         519 : FreePageBtreeFindLeftSibling(char *base, FreePageBtree *btp)
     775                 :             : {
     776                 :         519 :     FreePageBtree *p = btp;
     777                 :         519 :     int         levels = 0;
     778                 :             : 
     779                 :             :     /* Move up until we can move left. */
     780                 :             :     for (;;)
     781                 :           0 :     {
     782                 :             :         Size        first_page;
     783                 :             :         Size        index;
     784                 :             : 
     785                 :         519 :         first_page = FreePageBtreeFirstKey(p);
     786         [ -  + ]:         519 :         p = relptr_access(base, p->hdr.parent);
     787                 :             : 
     788         [ +  - ]:         519 :         if (p == NULL)
     789                 :         519 :             return NULL;        /* we were passed the rightmost page */
     790                 :             : 
     791                 :           0 :         index = FreePageBtreeSearchInternal(p, first_page);
     792         [ #  # ]:           0 :         if (index > 0)
     793                 :             :         {
     794                 :             :             Assert(p->u.internal_key[index].first_page == first_page);
     795         [ #  # ]:           0 :             p = relptr_access(base, p->u.internal_key[index - 1].child);
     796                 :           0 :             break;
     797                 :             :         }
     798                 :             :         Assert(index == 0);
     799                 :           0 :         ++levels;
     800                 :             :     }
     801                 :             : 
     802                 :             :     /* Descend left. */
     803         [ #  # ]:           0 :     while (levels > 0)
     804                 :             :     {
     805                 :             :         Assert(p->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     806         [ #  # ]:           0 :         p = relptr_access(base, p->u.internal_key[p->hdr.nused - 1].child);
     807                 :           0 :         --levels;
     808                 :             :     }
     809                 :             :     Assert(p->hdr.magic == btp->hdr.magic);
     810                 :             : 
     811                 :           0 :     return p;
     812                 :             : }
     813                 :             : 
     814                 :             : /*
     815                 :             :  * Find the passed page's right sibling; that is, the page at the same level
     816                 :             :  * of the tree whose keyspace immediately follows ours.
     817                 :             :  */
     818                 :             : static FreePageBtree *
     819                 :         530 : FreePageBtreeFindRightSibling(char *base, FreePageBtree *btp)
     820                 :             : {
     821                 :         530 :     FreePageBtree *p = btp;
     822                 :         530 :     int         levels = 0;
     823                 :             : 
     824                 :             :     /* Move up until we can move right. */
     825                 :             :     for (;;)
     826                 :           0 :     {
     827                 :             :         Size        first_page;
     828                 :             :         Size        index;
     829                 :             : 
     830                 :         530 :         first_page = FreePageBtreeFirstKey(p);
     831         [ -  + ]:         530 :         p = relptr_access(base, p->hdr.parent);
     832                 :             : 
     833         [ +  - ]:         530 :         if (p == NULL)
     834                 :         530 :             return NULL;        /* we were passed the rightmost page */
     835                 :             : 
     836                 :           0 :         index = FreePageBtreeSearchInternal(p, first_page);
     837         [ #  # ]:           0 :         if (index < p->hdr.nused - 1)
     838                 :             :         {
     839                 :             :             Assert(p->u.internal_key[index].first_page == first_page);
     840         [ #  # ]:           0 :             p = relptr_access(base, p->u.internal_key[index + 1].child);
     841                 :           0 :             break;
     842                 :             :         }
     843                 :             :         Assert(index == p->hdr.nused - 1);
     844                 :           0 :         ++levels;
     845                 :             :     }
     846                 :             : 
     847                 :             :     /* Descend left. */
     848         [ #  # ]:           0 :     while (levels > 0)
     849                 :             :     {
     850                 :             :         Assert(p->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     851         [ #  # ]:           0 :         p = relptr_access(base, p->u.internal_key[0].child);
     852                 :           0 :         --levels;
     853                 :             :     }
     854                 :             :     Assert(p->hdr.magic == btp->hdr.magic);
     855                 :             : 
     856                 :           0 :     return p;
     857                 :             : }
     858                 :             : 
     859                 :             : /*
     860                 :             :  * Get the first key on a btree page.
     861                 :             :  */
     862                 :             : static Size
     863                 :        1049 : FreePageBtreeFirstKey(FreePageBtree *btp)
     864                 :             : {
     865                 :             :     Assert(btp->hdr.nused > 0);
     866                 :             : 
     867         [ +  - ]:        1049 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
     868                 :        1049 :         return btp->u.leaf_key[0].first_page;
     869                 :             :     else
     870                 :             :     {
     871                 :             :         Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     872                 :           0 :         return btp->u.internal_key[0].first_page;
     873                 :             :     }
     874                 :             : }
     875                 :             : 
     876                 :             : /*
     877                 :             :  * Get a page from the btree recycle list for use as a btree page.
     878                 :             :  */
     879                 :             : static FreePageBtree *
     880                 :         185 : FreePageBtreeGetRecycled(FreePageManager *fpm)
     881                 :             : {
     882                 :         185 :     char       *base = fpm_segment_base(fpm);
     883         [ +  - ]:         185 :     FreePageSpanLeader *victim = relptr_access(base, fpm->btree_recycle);
     884                 :             :     FreePageSpanLeader *newhead;
     885                 :             : 
     886                 :             :     Assert(victim != NULL);
     887         [ -  + ]:         185 :     newhead = relptr_access(base, victim->next);
     888         [ -  + ]:         185 :     if (newhead != NULL)
     889                 :           0 :         relptr_copy(newhead->prev, victim->prev);
     890                 :         185 :     relptr_store(base, fpm->btree_recycle, newhead);
     891                 :             :     Assert(fpm_pointer_is_page_aligned(base, victim));
     892                 :         185 :     fpm->btree_recycle_count--;
     893                 :         185 :     return (FreePageBtree *) victim;
     894                 :             : }
     895                 :             : 
     896                 :             : /*
     897                 :             :  * Insert an item into an internal page (there must be room).
     898                 :             :  */
     899                 :             : static void
     900                 :           0 : FreePageBtreeInsertInternal(char *base, FreePageBtree *btp, Size index,
     901                 :             :                             Size first_page, FreePageBtree *child)
     902                 :             : {
     903                 :             :     Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
     904                 :             :     Assert(btp->hdr.nused < FPM_ITEMS_PER_INTERNAL_PAGE);
     905                 :             :     Assert(index <= btp->hdr.nused);
     906                 :           0 :     memmove(&btp->u.internal_key[index + 1], &btp->u.internal_key[index],
     907                 :           0 :             sizeof(FreePageBtreeInternalKey) * (btp->hdr.nused - index));
     908                 :           0 :     btp->u.internal_key[index].first_page = first_page;
     909                 :           0 :     relptr_store(base, btp->u.internal_key[index].child, child);
     910                 :           0 :     ++btp->hdr.nused;
     911                 :           0 : }
     912                 :             : 
     913                 :             : /*
     914                 :             :  * Insert an item into a leaf page (there must be room).
     915                 :             :  */
     916                 :             : static void
     917                 :         647 : FreePageBtreeInsertLeaf(FreePageBtree *btp, Size index, Size first_page,
     918                 :             :                         Size npages)
     919                 :             : {
     920                 :             :     Assert(btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
     921                 :             :     Assert(btp->hdr.nused < FPM_ITEMS_PER_LEAF_PAGE);
     922                 :             :     Assert(index <= btp->hdr.nused);
     923                 :         647 :     memmove(&btp->u.leaf_key[index + 1], &btp->u.leaf_key[index],
     924                 :         647 :             sizeof(FreePageBtreeLeafKey) * (btp->hdr.nused - index));
     925                 :         647 :     btp->u.leaf_key[index].first_page = first_page;
     926                 :         647 :     btp->u.leaf_key[index].npages = npages;
     927                 :         647 :     ++btp->hdr.nused;
     928                 :         647 : }
     929                 :             : 
     930                 :             : /*
     931                 :             :  * Put a page on the btree recycle list.
     932                 :             :  */
     933                 :             : static void
     934                 :         185 : FreePageBtreeRecycle(FreePageManager *fpm, Size pageno)
     935                 :             : {
     936                 :         185 :     char       *base = fpm_segment_base(fpm);
     937         [ -  + ]:         185 :     FreePageSpanLeader *head = relptr_access(base, fpm->btree_recycle);
     938                 :             :     FreePageSpanLeader *span;
     939                 :             : 
     940                 :         185 :     span = (FreePageSpanLeader *) fpm_page_to_pointer(base, pageno);
     941                 :         185 :     span->magic = FREE_PAGE_SPAN_LEADER_MAGIC;
     942                 :         185 :     span->npages = 1;
     943                 :         185 :     relptr_store(base, span->next, head);
     944                 :         185 :     relptr_store(base, span->prev, (FreePageSpanLeader *) NULL);
     945         [ -  + ]:         185 :     if (head != NULL)
     946                 :           0 :         relptr_store(base, head->prev, span);
     947                 :         185 :     relptr_store(base, fpm->btree_recycle, span);
     948                 :         185 :     fpm->btree_recycle_count++;
     949                 :         185 : }
     950                 :             : 
     951                 :             : /*
     952                 :             :  * Remove an item from the btree at the given position on the given page.
     953                 :             :  */
     954                 :             : static void
     955                 :         519 : FreePageBtreeRemove(FreePageManager *fpm, FreePageBtree *btp, Size index)
     956                 :             : {
     957                 :             :     Assert(btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
     958                 :             :     Assert(index < btp->hdr.nused);
     959                 :             : 
     960                 :             :     /* When last item is removed, extirpate entire page from btree. */
     961         [ -  + ]:         519 :     if (btp->hdr.nused == 1)
     962                 :             :     {
     963                 :           0 :         FreePageBtreeRemovePage(fpm, btp);
     964                 :           0 :         return;
     965                 :             :     }
     966                 :             : 
     967                 :             :     /* Physically remove the key from the page. */
     968                 :         519 :     --btp->hdr.nused;
     969         [ +  - ]:         519 :     if (index < btp->hdr.nused)
     970                 :         519 :         memmove(&btp->u.leaf_key[index], &btp->u.leaf_key[index + 1],
     971                 :         519 :                 sizeof(FreePageBtreeLeafKey) * (btp->hdr.nused - index));
     972                 :             : 
     973                 :             :     /* If we just removed the first key, adjust ancestor keys. */
     974         [ +  + ]:         519 :     if (index == 0)
     975                 :         201 :         FreePageBtreeAdjustAncestorKeys(fpm, btp);
     976                 :             : 
     977                 :             :     /* Consider whether to consolidate this page with a sibling. */
     978                 :         519 :     FreePageBtreeConsolidate(fpm, btp);
     979                 :             : }
     980                 :             : 
     981                 :             : /*
     982                 :             :  * Remove a page from the btree.  Caller is responsible for having relocated
     983                 :             :  * any keys from this page that are still wanted.  The page is placed on the
     984                 :             :  * recycled list.
     985                 :             :  */
     986                 :             : static void
     987                 :           0 : FreePageBtreeRemovePage(FreePageManager *fpm, FreePageBtree *btp)
     988                 :             : {
     989                 :           0 :     char       *base = fpm_segment_base(fpm);
     990                 :             :     FreePageBtree *parent;
     991                 :             :     Size        index;
     992                 :             :     Size        first_page;
     993                 :             : 
     994                 :             :     for (;;)
     995                 :           0 :     {
     996                 :             :         /* Find parent page. */
     997         [ #  # ]:           0 :         parent = relptr_access(base, btp->hdr.parent);
     998         [ #  # ]:           0 :         if (parent == NULL)
     999                 :             :         {
    1000                 :             :             /* We are removing the root page. */
    1001                 :           0 :             relptr_store(base, fpm->btree_root, (FreePageBtree *) NULL);
    1002                 :           0 :             fpm->btree_depth = 0;
    1003                 :             :             Assert(fpm->singleton_first_page == 0);
    1004                 :             :             Assert(fpm->singleton_npages == 0);
    1005                 :           0 :             return;
    1006                 :             :         }
    1007                 :             : 
    1008                 :             :         /*
    1009                 :             :          * If the parent contains only one item, we need to remove it as well.
    1010                 :             :          */
    1011         [ #  # ]:           0 :         if (parent->hdr.nused > 1)
    1012                 :           0 :             break;
    1013                 :           0 :         FreePageBtreeRecycle(fpm, fpm_pointer_to_page(base, btp));
    1014                 :           0 :         btp = parent;
    1015                 :             :     }
    1016                 :             : 
    1017                 :             :     /* Find and remove the downlink. */
    1018                 :           0 :     first_page = FreePageBtreeFirstKey(btp);
    1019         [ #  # ]:           0 :     if (parent->hdr.magic == FREE_PAGE_LEAF_MAGIC)
    1020                 :             :     {
    1021                 :           0 :         index = FreePageBtreeSearchLeaf(parent, first_page);
    1022                 :             :         Assert(index < parent->hdr.nused);
    1023         [ #  # ]:           0 :         if (index < parent->hdr.nused - 1)
    1024                 :           0 :             memmove(&parent->u.leaf_key[index],
    1025                 :           0 :                     &parent->u.leaf_key[index + 1],
    1026                 :             :                     sizeof(FreePageBtreeLeafKey)
    1027                 :           0 :                     * (parent->hdr.nused - index - 1));
    1028                 :             :     }
    1029                 :             :     else
    1030                 :             :     {
    1031                 :           0 :         index = FreePageBtreeSearchInternal(parent, first_page);
    1032                 :             :         Assert(index < parent->hdr.nused);
    1033         [ #  # ]:           0 :         if (index < parent->hdr.nused - 1)
    1034                 :           0 :             memmove(&parent->u.internal_key[index],
    1035                 :           0 :                     &parent->u.internal_key[index + 1],
    1036                 :             :                     sizeof(FreePageBtreeInternalKey)
    1037                 :           0 :                     * (parent->hdr.nused - index - 1));
    1038                 :             :     }
    1039                 :           0 :     parent->hdr.nused--;
    1040                 :             :     Assert(parent->hdr.nused > 0);
    1041                 :             : 
    1042                 :             :     /* Recycle the page. */
    1043                 :           0 :     FreePageBtreeRecycle(fpm, fpm_pointer_to_page(base, btp));
    1044                 :             : 
    1045                 :             :     /* Adjust ancestor keys if needed. */
    1046         [ #  # ]:           0 :     if (index == 0)
    1047                 :           0 :         FreePageBtreeAdjustAncestorKeys(fpm, parent);
    1048                 :             : 
    1049                 :             :     /* Consider whether to consolidate the parent with a sibling. */
    1050                 :           0 :     FreePageBtreeConsolidate(fpm, parent);
    1051                 :             : }
    1052                 :             : 
    1053                 :             : /*
    1054                 :             :  * Search the btree for an entry for the given first page and initialize
    1055                 :             :  * *result with the results of the search.  result->page and result->index
    1056                 :             :  * indicate either the position of an exact match or the position at which
    1057                 :             :  * the new key should be inserted.  result->found is true for an exact match,
    1058                 :             :  * otherwise false.  result->split_pages will contain the number of additional
    1059                 :             :  * btree pages that will be needed when performing a split to insert a key.
    1060                 :             :  * Except as described above, the contents of fields in the result object are
    1061                 :             :  * undefined on return.
    1062                 :             :  */
    1063                 :             : static void
    1064                 :        3041 : FreePageBtreeSearch(FreePageManager *fpm, Size first_page,
    1065                 :             :                     FreePageBtreeSearchResult *result)
    1066                 :             : {
    1067                 :        3041 :     char       *base = fpm_segment_base(fpm);
    1068         [ +  - ]:        3041 :     FreePageBtree *btp = relptr_access(base, fpm->btree_root);
    1069                 :             :     Size        index;
    1070                 :             : 
    1071                 :        3041 :     result->split_pages = 1;
    1072                 :             : 
    1073                 :             :     /* If the btree is empty, there's nothing to find. */
    1074         [ -  + ]:        3041 :     if (btp == NULL)
    1075                 :             :     {
    1076                 :           0 :         result->page = NULL;
    1077                 :           0 :         result->found = false;
    1078                 :           0 :         return;
    1079                 :             :     }
    1080                 :             : 
    1081                 :             :     /* Descend until we hit a leaf. */
    1082         [ -  + ]:        3041 :     while (btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC)
    1083                 :             :     {
    1084                 :             :         FreePageBtree *child;
    1085                 :             :         bool        found_exact;
    1086                 :             : 
    1087                 :           0 :         index = FreePageBtreeSearchInternal(btp, first_page);
    1088         [ #  # ]:           0 :         found_exact = index < btp->hdr.nused &&
    1089         [ #  # ]:           0 :             btp->u.internal_key[index].first_page == first_page;
    1090                 :             : 
    1091                 :             :         /*
    1092                 :             :          * If we found an exact match we descend directly.  Otherwise, we
    1093                 :             :          * descend into the child to the left if possible so that we can find
    1094                 :             :          * the insertion point at that child's high end.
    1095                 :             :          */
    1096   [ #  #  #  # ]:           0 :         if (!found_exact && index > 0)
    1097                 :           0 :             --index;
    1098                 :             : 
    1099                 :             :         /* Track required split depth for leaf insert. */
    1100         [ #  # ]:           0 :         if (btp->hdr.nused >= FPM_ITEMS_PER_INTERNAL_PAGE)
    1101                 :             :         {
    1102                 :             :             Assert(btp->hdr.nused == FPM_ITEMS_PER_INTERNAL_PAGE);
    1103                 :           0 :             result->split_pages++;
    1104                 :             :         }
    1105                 :             :         else
    1106                 :           0 :             result->split_pages = 0;
    1107                 :             : 
    1108                 :             :         /* Descend to appropriate child page. */
    1109                 :             :         Assert(index < btp->hdr.nused);
    1110         [ #  # ]:           0 :         child = relptr_access(base, btp->u.internal_key[index].child);
    1111                 :             :         Assert(relptr_access(base, child->hdr.parent) == btp);
    1112                 :           0 :         btp = child;
    1113                 :             :     }
    1114                 :             : 
    1115                 :             :     /* Track required split depth for leaf insert. */
    1116         [ -  + ]:        3041 :     if (btp->hdr.nused >= FPM_ITEMS_PER_LEAF_PAGE)
    1117                 :             :     {
    1118                 :             :         Assert(btp->hdr.nused == FPM_ITEMS_PER_INTERNAL_PAGE);
    1119                 :           0 :         result->split_pages++;
    1120                 :             :     }
    1121                 :             :     else
    1122                 :        3041 :         result->split_pages = 0;
    1123                 :             : 
    1124                 :             :     /* Search leaf page. */
    1125                 :        3041 :     index = FreePageBtreeSearchLeaf(btp, first_page);
    1126                 :             : 
    1127                 :             :     /* Assemble results. */
    1128                 :        3041 :     result->page = btp;
    1129                 :        3041 :     result->index = index;
    1130         [ +  + ]:        6071 :     result->found = index < btp->hdr.nused &&
    1131         [ +  + ]:        6071 :         first_page == btp->u.leaf_key[index].first_page;
    1132                 :             : }
    1133                 :             : 
    1134                 :             : /*
    1135                 :             :  * Search an internal page for the first key greater than or equal to a given
    1136                 :             :  * page number.  Returns the index of that key, or one greater than the number
    1137                 :             :  * of keys on the page if none.
    1138                 :             :  */
    1139                 :             : static Size
    1140                 :           0 : FreePageBtreeSearchInternal(FreePageBtree *btp, Size first_page)
    1141                 :             : {
    1142                 :           0 :     Size        low = 0;
    1143                 :           0 :     Size        high = btp->hdr.nused;
    1144                 :             : 
    1145                 :             :     Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
    1146                 :             :     Assert(high > 0 && high <= FPM_ITEMS_PER_INTERNAL_PAGE);
    1147                 :             : 
    1148         [ #  # ]:           0 :     while (low < high)
    1149                 :             :     {
    1150                 :           0 :         Size        mid = (low + high) / 2;
    1151                 :           0 :         Size        val = btp->u.internal_key[mid].first_page;
    1152                 :             : 
    1153         [ #  # ]:           0 :         if (first_page == val)
    1154                 :           0 :             return mid;
    1155         [ #  # ]:           0 :         else if (first_page < val)
    1156                 :           0 :             high = mid;
    1157                 :             :         else
    1158                 :           0 :             low = mid + 1;
    1159                 :             :     }
    1160                 :             : 
    1161                 :           0 :     return low;
    1162                 :             : }
    1163                 :             : 
    1164                 :             : /*
    1165                 :             :  * Search a leaf page for the first key greater than or equal to a given
    1166                 :             :  * page number.  Returns the index of that key, or one greater than the number
    1167                 :             :  * of keys on the page if none.
    1168                 :             :  */
    1169                 :             : static Size
    1170                 :        3041 : FreePageBtreeSearchLeaf(FreePageBtree *btp, Size first_page)
    1171                 :             : {
    1172                 :        3041 :     Size        low = 0;
    1173                 :        3041 :     Size        high = btp->hdr.nused;
    1174                 :             : 
    1175                 :             :     Assert(btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
    1176                 :             :     Assert(high > 0 && high <= FPM_ITEMS_PER_LEAF_PAGE);
    1177                 :             : 
    1178         [ +  + ]:        7227 :     while (low < high)
    1179                 :             :     {
    1180                 :        5475 :         Size        mid = (low + high) / 2;
    1181                 :        5475 :         Size        val = btp->u.leaf_key[mid].first_page;
    1182                 :             : 
    1183         [ +  + ]:        5475 :         if (first_page == val)
    1184                 :        1289 :             return mid;
    1185         [ +  + ]:        4186 :         else if (first_page < val)
    1186                 :        3177 :             high = mid;
    1187                 :             :         else
    1188                 :        1009 :             low = mid + 1;
    1189                 :             :     }
    1190                 :             : 
    1191                 :        1752 :     return low;
    1192                 :             : }
    1193                 :             : 
    1194                 :             : /*
    1195                 :             :  * Allocate a new btree page and move half the keys from the provided page
    1196                 :             :  * to the new page.  Caller is responsible for making sure that there's a
    1197                 :             :  * page available from fpm->btree_recycle.  Returns a pointer to the new page,
    1198                 :             :  * to which caller must add a downlink.
    1199                 :             :  */
    1200                 :             : static FreePageBtree *
    1201                 :           0 : FreePageBtreeSplitPage(FreePageManager *fpm, FreePageBtree *btp)
    1202                 :             : {
    1203                 :             :     FreePageBtree *newsibling;
    1204                 :             : 
    1205                 :           0 :     newsibling = FreePageBtreeGetRecycled(fpm);
    1206                 :           0 :     newsibling->hdr.magic = btp->hdr.magic;
    1207                 :           0 :     newsibling->hdr.nused = btp->hdr.nused / 2;
    1208                 :           0 :     relptr_copy(newsibling->hdr.parent, btp->hdr.parent);
    1209                 :           0 :     btp->hdr.nused -= newsibling->hdr.nused;
    1210                 :             : 
    1211         [ #  # ]:           0 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
    1212                 :           0 :         memcpy(&newsibling->u.leaf_key,
    1213                 :           0 :                &btp->u.leaf_key[btp->hdr.nused],
    1214                 :           0 :                sizeof(FreePageBtreeLeafKey) * newsibling->hdr.nused);
    1215                 :             :     else
    1216                 :             :     {
    1217                 :             :         Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
    1218                 :           0 :         memcpy(&newsibling->u.internal_key,
    1219                 :           0 :                &btp->u.internal_key[btp->hdr.nused],
    1220                 :           0 :                sizeof(FreePageBtreeInternalKey) * newsibling->hdr.nused);
    1221                 :           0 :         FreePageBtreeUpdateParentPointers(fpm_segment_base(fpm), newsibling);
    1222                 :             :     }
    1223                 :             : 
    1224                 :           0 :     return newsibling;
    1225                 :             : }
    1226                 :             : 
    1227                 :             : /*
    1228                 :             :  * When internal pages are split or merged, the parent pointers of their
    1229                 :             :  * children must be updated.
    1230                 :             :  */
    1231                 :             : static void
    1232                 :           0 : FreePageBtreeUpdateParentPointers(char *base, FreePageBtree *btp)
    1233                 :             : {
    1234                 :             :     Size        i;
    1235                 :             : 
    1236                 :             :     Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
    1237         [ #  # ]:           0 :     for (i = 0; i < btp->hdr.nused; ++i)
    1238                 :             :     {
    1239                 :             :         FreePageBtree *child;
    1240                 :             : 
    1241         [ #  # ]:           0 :         child = relptr_access(base, btp->u.internal_key[i].child);
    1242                 :           0 :         relptr_store(base, child->hdr.parent, btp);
    1243                 :             :     }
    1244                 :           0 : }
    1245                 :             : 
    1246                 :             : /*
    1247                 :             :  * Debugging dump of btree data.
    1248                 :             :  */
    1249                 :             : static void
    1250                 :           0 : FreePageManagerDumpBtree(FreePageManager *fpm, FreePageBtree *btp,
    1251                 :             :                          FreePageBtree *parent, int level, StringInfo buf)
    1252                 :             : {
    1253                 :           0 :     char       *base = fpm_segment_base(fpm);
    1254                 :           0 :     Size        pageno = fpm_pointer_to_page(base, btp);
    1255                 :             :     Size        index;
    1256                 :             :     FreePageBtree *check_parent;
    1257                 :             : 
    1258                 :           0 :     check_stack_depth();
    1259         [ #  # ]:           0 :     check_parent = relptr_access(base, btp->hdr.parent);
    1260                 :           0 :     appendStringInfo(buf, "  %zu@%d %c", pageno, level,
    1261         [ #  # ]:           0 :                      btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC ? 'i' : 'l');
    1262         [ #  # ]:           0 :     if (parent != check_parent)
    1263                 :           0 :         appendStringInfo(buf, " [actual parent %zu, expected %zu]",
    1264                 :           0 :                          fpm_pointer_to_page(base, check_parent),
    1265                 :           0 :                          fpm_pointer_to_page(base, parent));
    1266                 :           0 :     appendStringInfoChar(buf, ':');
    1267         [ #  # ]:           0 :     for (index = 0; index < btp->hdr.nused; ++index)
    1268                 :             :     {
    1269         [ #  # ]:           0 :         if (btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC)
    1270                 :           0 :             appendStringInfo(buf, " %zu->%zu",
    1271                 :             :                              btp->u.internal_key[index].first_page,
    1272                 :           0 :                              relptr_offset(btp->u.internal_key[index].child) / FPM_PAGE_SIZE);
    1273                 :             :         else
    1274                 :           0 :             appendStringInfo(buf, " %zu(%zu)",
    1275                 :             :                              btp->u.leaf_key[index].first_page,
    1276                 :             :                              btp->u.leaf_key[index].npages);
    1277                 :             :     }
    1278                 :           0 :     appendStringInfoChar(buf, '\n');
    1279                 :             : 
    1280         [ #  # ]:           0 :     if (btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC)
    1281                 :             :     {
    1282         [ #  # ]:           0 :         for (index = 0; index < btp->hdr.nused; ++index)
    1283                 :             :         {
    1284                 :             :             FreePageBtree *child;
    1285                 :             : 
    1286         [ #  # ]:           0 :             child = relptr_access(base, btp->u.internal_key[index].child);
    1287                 :           0 :             FreePageManagerDumpBtree(fpm, child, btp, level + 1, buf);
    1288                 :             :         }
    1289                 :             :     }
    1290                 :           0 : }
    1291                 :             : 
    1292                 :             : /*
    1293                 :             :  * Debugging dump of free-span data.
    1294                 :             :  */
    1295                 :             : static void
    1296                 :           0 : FreePageManagerDumpSpans(FreePageManager *fpm, FreePageSpanLeader *span,
    1297                 :             :                          Size expected_pages, StringInfo buf)
    1298                 :             : {
    1299                 :           0 :     char       *base = fpm_segment_base(fpm);
    1300                 :             : 
    1301         [ #  # ]:           0 :     while (span != NULL)
    1302                 :             :     {
    1303         [ #  # ]:           0 :         if (span->npages != expected_pages)
    1304                 :           0 :             appendStringInfo(buf, " %zu(%zu)", fpm_pointer_to_page(base, span),
    1305                 :             :                              span->npages);
    1306                 :             :         else
    1307                 :           0 :             appendStringInfo(buf, " %zu", fpm_pointer_to_page(base, span));
    1308         [ #  # ]:           0 :         span = relptr_access(base, span->next);
    1309                 :             :     }
    1310                 :             : 
    1311                 :           0 :     appendStringInfoChar(buf, '\n');
    1312                 :           0 : }
    1313                 :             : 
    1314                 :             : /*
    1315                 :             :  * This function allocates a run of pages of the given length from the free
    1316                 :             :  * page manager.
    1317                 :             :  */
    1318                 :             : static bool
    1319                 :       17218 : FreePageManagerGetInternal(FreePageManager *fpm, Size npages, Size *first_page)
    1320                 :             : {
    1321                 :       17218 :     char       *base = fpm_segment_base(fpm);
    1322                 :       17218 :     FreePageSpanLeader *victim = NULL;
    1323                 :             :     FreePageSpanLeader *prev;
    1324                 :             :     FreePageSpanLeader *next;
    1325                 :             :     FreePageBtreeSearchResult result;
    1326                 :       17218 :     Size        victim_page = 0;    /* placate compiler */
    1327                 :             :     Size        f;
    1328                 :             : 
    1329                 :             :     /*
    1330                 :             :      * Search for a free span.
    1331                 :             :      *
    1332                 :             :      * Right now, we use a simple best-fit policy here, but it's possible for
    1333                 :             :      * this to result in memory fragmentation if we're repeatedly asked to
    1334                 :             :      * allocate chunks just a little smaller than what we have available.
    1335                 :             :      * Hopefully, this is unlikely, because we expect most requests to be
    1336                 :             :      * single pages or superblock-sized chunks -- but no policy can be optimal
    1337                 :             :      * under all circumstances unless it has knowledge of future allocation
    1338                 :             :      * patterns.
    1339                 :             :      */
    1340         [ +  - ]:     1366846 :     for (f = Min(npages, FPM_NUM_FREELISTS) - 1; f < FPM_NUM_FREELISTS; ++f)
    1341                 :             :     {
    1342                 :             :         /* Skip empty freelists. */
    1343         [ +  + ]:     1366846 :         if (relptr_is_null(fpm->freelist[f]))
    1344                 :     1349628 :             continue;
    1345                 :             : 
    1346                 :             :         /*
    1347                 :             :          * All of the freelists except the last one contain only items of a
    1348                 :             :          * single size, so we just take the first one.  But the final free
    1349                 :             :          * list contains everything too big for any of the other lists, so we
    1350                 :             :          * need to search the list.
    1351                 :             :          */
    1352         [ +  + ]:       17218 :         if (f < FPM_NUM_FREELISTS - 1)
    1353         [ +  - ]:        7722 :             victim = relptr_access(base, fpm->freelist[f]);
    1354                 :             :         else
    1355                 :             :         {
    1356                 :             :             FreePageSpanLeader *candidate;
    1357                 :             : 
    1358         [ +  - ]:        9496 :             candidate = relptr_access(base, fpm->freelist[f]);
    1359                 :             :             do
    1360                 :             :             {
    1361   [ +  -  -  + ]:        9496 :                 if (candidate->npages >= npages && (victim == NULL ||
    1362         [ #  # ]:           0 :                                                     victim->npages > candidate->npages))
    1363                 :             :                 {
    1364                 :        9496 :                     victim = candidate;
    1365         [ +  + ]:        9496 :                     if (victim->npages == npages)
    1366                 :          11 :                         break;
    1367                 :             :                 }
    1368         [ -  + ]:        9485 :                 candidate = relptr_access(base, candidate->next);
    1369         [ -  + ]:        9485 :             } while (candidate != NULL);
    1370                 :             :         }
    1371                 :       17218 :         break;
    1372                 :             :     }
    1373                 :             : 
    1374                 :             :     /* If we didn't find an allocatable span, return failure. */
    1375         [ -  + ]:       17218 :     if (victim == NULL)
    1376                 :           0 :         return false;
    1377                 :             : 
    1378                 :             :     /* Remove span from free list. */
    1379                 :             :     Assert(victim->magic == FREE_PAGE_SPAN_LEADER_MAGIC);
    1380         [ -  + ]:       17218 :     prev = relptr_access(base, victim->prev);
    1381         [ +  + ]:       17218 :     next = relptr_access(base, victim->next);
    1382         [ -  + ]:       17218 :     if (prev != NULL)
    1383                 :           0 :         relptr_copy(prev->next, victim->next);
    1384                 :             :     else
    1385                 :       17218 :         relptr_copy(fpm->freelist[f], victim->next);
    1386         [ +  + ]:       17218 :     if (next != NULL)
    1387                 :          70 :         relptr_copy(next->prev, victim->prev);
    1388                 :       17218 :     victim_page = fpm_pointer_to_page(base, victim);
    1389                 :             : 
    1390                 :             :     /* Decide whether we might be invalidating contiguous_pages. */
    1391         [ +  + ]:       17218 :     if (f == FPM_NUM_FREELISTS - 1 &&
    1392         [ +  - ]:        9496 :         victim->npages == fpm->contiguous_pages)
    1393                 :             :     {
    1394                 :             :         /*
    1395                 :             :          * The victim span came from the oversized freelist, and had the same
    1396                 :             :          * size as the longest span.  There may or may not be another one of
    1397                 :             :          * the same size, so contiguous_pages must be recomputed just to be
    1398                 :             :          * safe.
    1399                 :             :          */
    1400                 :        9496 :         fpm->contiguous_pages_dirty = true;
    1401                 :             :     }
    1402         [ +  + ]:        7722 :     else if (f + 1 == fpm->contiguous_pages &&
    1403         [ +  - ]:        6723 :              relptr_is_null(fpm->freelist[f]))
    1404                 :             :     {
    1405                 :             :         /*
    1406                 :             :          * The victim span came from a fixed sized freelist, and it was the
    1407                 :             :          * list for spans of the same size as the current longest span, and
    1408                 :             :          * the list is now empty after removing the victim.  So
    1409                 :             :          * contiguous_pages must be recomputed without a doubt.
    1410                 :             :          */
    1411                 :        6723 :         fpm->contiguous_pages_dirty = true;
    1412                 :             :     }
    1413                 :             : 
    1414                 :             :     /*
    1415                 :             :      * If we haven't initialized the btree yet, the victim must be the single
    1416                 :             :      * span stored within the FreePageManager itself.  Otherwise, we need to
    1417                 :             :      * update the btree.
    1418                 :             :      */
    1419         [ +  + ]:       17218 :     if (relptr_is_null(fpm->btree_root))
    1420                 :             :     {
    1421                 :             :         Assert(victim_page == fpm->singleton_first_page);
    1422                 :             :         Assert(victim->npages == fpm->singleton_npages);
    1423                 :             :         Assert(victim->npages >= npages);
    1424                 :       15929 :         fpm->singleton_first_page += npages;
    1425                 :       15929 :         fpm->singleton_npages -= npages;
    1426         [ +  + ]:       15929 :         if (fpm->singleton_npages > 0)
    1427                 :       15898 :             FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
    1428                 :             :                                    fpm->singleton_npages);
    1429                 :             :     }
    1430                 :             :     else
    1431                 :             :     {
    1432                 :             :         /*
    1433                 :             :          * If the span we found is exactly the right size, remove it from the
    1434                 :             :          * btree completely.  Otherwise, adjust the btree entry to reflect the
    1435                 :             :          * still-unallocated portion of the span, and put that portion on the
    1436                 :             :          * appropriate free list.
    1437                 :             :          */
    1438                 :        1289 :         FreePageBtreeSearch(fpm, victim_page, &result);
    1439                 :             :         Assert(result.found);
    1440         [ +  + ]:        1289 :         if (victim->npages == npages)
    1441                 :         375 :             FreePageBtreeRemove(fpm, result.page, result.index);
    1442                 :             :         else
    1443                 :             :         {
    1444                 :             :             FreePageBtreeLeafKey *key;
    1445                 :             : 
    1446                 :             :             /* Adjust btree to reflect remaining pages. */
    1447                 :             :             Assert(victim->npages > npages);
    1448                 :         914 :             key = &result.page->u.leaf_key[result.index];
    1449                 :             :             Assert(key->npages == victim->npages);
    1450                 :         914 :             key->first_page += npages;
    1451                 :         914 :             key->npages -= npages;
    1452         [ +  + ]:         914 :             if (result.index == 0)
    1453                 :         406 :                 FreePageBtreeAdjustAncestorKeys(fpm, result.page);
    1454                 :             : 
    1455                 :             :             /* Put the unallocated pages back on the appropriate free list. */
    1456                 :         914 :             FreePagePushSpanLeader(fpm, victim_page + npages,
    1457                 :         914 :                                    victim->npages - npages);
    1458                 :             :         }
    1459                 :             :     }
    1460                 :             : 
    1461                 :             :     /* Return results to caller. */
    1462                 :       17218 :     *first_page = fpm_pointer_to_page(base, victim);
    1463                 :       17218 :     return true;
    1464                 :             : }
    1465                 :             : 
    1466                 :             : /*
    1467                 :             :  * Put a range of pages into the btree and freelists, consolidating it with
    1468                 :             :  * existing free spans just before and/or after it.  If 'soft' is true,
    1469                 :             :  * only perform the insertion if it can be done without allocating new btree
    1470                 :             :  * pages; if false, do it always.  Returns 0 if the soft flag caused the
    1471                 :             :  * insertion to be skipped, or otherwise the size of the contiguous span
    1472                 :             :  * created by the insertion.  This may be larger than npages if we're able
    1473                 :             :  * to consolidate with an adjacent range.
    1474                 :             :  */
    1475                 :             : static Size
    1476                 :        5872 : FreePageManagerPutInternal(FreePageManager *fpm, Size first_page, Size npages,
    1477                 :             :                            bool soft)
    1478                 :             : {
    1479                 :        5872 :     char       *base = fpm_segment_base(fpm);
    1480                 :             :     FreePageBtreeSearchResult result;
    1481                 :        5872 :     FreePageBtreeLeafKey *prevkey = NULL;
    1482                 :        5872 :     FreePageBtreeLeafKey *nextkey = NULL;
    1483                 :             :     FreePageBtree *np;
    1484                 :             :     Size        nindex;
    1485                 :             : 
    1486                 :             :     Assert(npages > 0);
    1487                 :             : 
    1488                 :             :     /* We can store a single free span without initializing the btree. */
    1489         [ +  + ]:        5872 :     if (fpm->btree_depth == 0)
    1490                 :             :     {
    1491         [ +  + ]:        4366 :         if (fpm->singleton_npages == 0)
    1492                 :             :         {
    1493                 :             :             /* Don't have a span yet; store this one. */
    1494                 :        2807 :             fpm->singleton_first_page = first_page;
    1495                 :        2807 :             fpm->singleton_npages = npages;
    1496                 :        2807 :             FreePagePushSpanLeader(fpm, first_page, npages);
    1497                 :        2807 :             return fpm->singleton_npages;
    1498                 :             :         }
    1499         [ +  + ]:        1559 :         else if (fpm->singleton_first_page + fpm->singleton_npages ==
    1500                 :             :                  first_page)
    1501                 :             :         {
    1502                 :             :             /* New span immediately follows sole existing span. */
    1503                 :          11 :             fpm->singleton_npages += npages;
    1504                 :          11 :             FreePagePopSpanLeader(fpm, fpm->singleton_first_page);
    1505                 :          11 :             FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
    1506                 :             :                                    fpm->singleton_npages);
    1507                 :          11 :             return fpm->singleton_npages;
    1508                 :             :         }
    1509         [ +  + ]:        1548 :         else if (first_page + npages == fpm->singleton_first_page)
    1510                 :             :         {
    1511                 :             :             /* New span immediately precedes sole existing span. */
    1512                 :        1246 :             FreePagePopSpanLeader(fpm, fpm->singleton_first_page);
    1513                 :        1246 :             fpm->singleton_first_page = first_page;
    1514                 :        1246 :             fpm->singleton_npages += npages;
    1515                 :        1246 :             FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
    1516                 :             :                                    fpm->singleton_npages);
    1517                 :        1246 :             return fpm->singleton_npages;
    1518                 :             :         }
    1519                 :             :         else
    1520                 :             :         {
    1521                 :             :             /* Not contiguous; we need to initialize the btree. */
    1522                 :             :             Size        root_page;
    1523                 :             :             FreePageBtree *root;
    1524                 :             : 
    1525         [ +  + ]:         302 :             if (!relptr_is_null(fpm->btree_recycle))
    1526                 :          36 :                 root = FreePageBtreeGetRecycled(fpm);
    1527         [ +  + ]:         266 :             else if (soft)
    1528                 :          56 :                 return 0;       /* Should not allocate if soft. */
    1529         [ +  - ]:         230 :             else if (FreePageManagerGetInternal(fpm, 1, &root_page))
    1530                 :         230 :                 root = (FreePageBtree *) fpm_page_to_pointer(base, root_page);
    1531                 :             :             else
    1532                 :             :             {
    1533                 :             :                 /* We'd better be able to get a page from the existing range. */
    1534         [ #  # ]:           0 :                 elog(FATAL, "free page manager btree is corrupt");
    1535                 :             :             }
    1536                 :             : 
    1537                 :             :             /* Create the btree and move the preexisting range into it. */
    1538                 :         266 :             root->hdr.magic = FREE_PAGE_LEAF_MAGIC;
    1539                 :         266 :             root->hdr.nused = 1;
    1540                 :         266 :             relptr_store(base, root->hdr.parent, (FreePageBtree *) NULL);
    1541                 :         266 :             root->u.leaf_key[0].first_page = fpm->singleton_first_page;
    1542                 :         266 :             root->u.leaf_key[0].npages = fpm->singleton_npages;
    1543                 :         266 :             relptr_store(base, fpm->btree_root, root);
    1544                 :         266 :             fpm->singleton_first_page = 0;
    1545                 :         266 :             fpm->singleton_npages = 0;
    1546                 :         266 :             fpm->btree_depth = 1;
    1547                 :             : 
    1548                 :             :             /*
    1549                 :             :              * Corner case: it may be that the btree root took the very last
    1550                 :             :              * free page.  In that case, the sole btree entry covers a zero
    1551                 :             :              * page run, which is invalid.  Overwrite it with the entry we're
    1552                 :             :              * trying to insert and get out.
    1553                 :             :              */
    1554         [ +  + ]:         266 :             if (root->u.leaf_key[0].npages == 0)
    1555                 :             :             {
    1556                 :          20 :                 root->u.leaf_key[0].first_page = first_page;
    1557                 :          20 :                 root->u.leaf_key[0].npages = npages;
    1558                 :          20 :                 FreePagePushSpanLeader(fpm, first_page, npages);
    1559                 :          20 :                 return npages;
    1560                 :             :             }
    1561                 :             : 
    1562                 :             :             /* Fall through to insert the new key. */
    1563                 :             :         }
    1564                 :             :     }
    1565                 :             : 
    1566                 :             :     /* Search the btree. */
    1567                 :        1752 :     FreePageBtreeSearch(fpm, first_page, &result);
    1568                 :             :     Assert(!result.found);
    1569         [ +  + ]:        1752 :     if (result.index > 0)
    1570                 :         962 :         prevkey = &result.page->u.leaf_key[result.index - 1];
    1571         [ +  + ]:        1752 :     if (result.index < result.page->hdr.nused)
    1572                 :             :     {
    1573                 :        1741 :         np = result.page;
    1574                 :        1741 :         nindex = result.index;
    1575                 :        1741 :         nextkey = &result.page->u.leaf_key[result.index];
    1576                 :             :     }
    1577                 :             :     else
    1578                 :             :     {
    1579                 :          11 :         np = FreePageBtreeFindRightSibling(base, result.page);
    1580                 :          11 :         nindex = 0;
    1581         [ -  + ]:          11 :         if (np != NULL)
    1582                 :           0 :             nextkey = &np->u.leaf_key[0];
    1583                 :             :     }
    1584                 :             : 
    1585                 :             :     /* Consolidate with the previous entry if possible. */
    1586   [ +  +  +  + ]:        1752 :     if (prevkey != NULL && prevkey->first_page + prevkey->npages >= first_page)
    1587                 :             :     {
    1588                 :         266 :         bool        remove_next = false;
    1589                 :             :         Size        result;
    1590                 :             : 
    1591                 :             :         Assert(prevkey->first_page + prevkey->npages == first_page);
    1592                 :         266 :         prevkey->npages = (first_page - prevkey->first_page) + npages;
    1593                 :             : 
    1594                 :             :         /* Check whether we can *also* consolidate with the following entry. */
    1595         [ +  + ]:         266 :         if (nextkey != NULL &&
    1596         [ +  + ]:         255 :             prevkey->first_page + prevkey->npages >= nextkey->first_page)
    1597                 :             :         {
    1598                 :             :             Assert(prevkey->first_page + prevkey->npages ==
    1599                 :             :                    nextkey->first_page);
    1600                 :         144 :             prevkey->npages = (nextkey->first_page - prevkey->first_page)
    1601                 :         144 :                 + nextkey->npages;
    1602                 :         144 :             FreePagePopSpanLeader(fpm, nextkey->first_page);
    1603                 :         144 :             remove_next = true;
    1604                 :             :         }
    1605                 :             : 
    1606                 :             :         /* Put the span on the correct freelist and save size. */
    1607                 :         266 :         FreePagePopSpanLeader(fpm, prevkey->first_page);
    1608                 :         266 :         FreePagePushSpanLeader(fpm, prevkey->first_page, prevkey->npages);
    1609                 :         266 :         result = prevkey->npages;
    1610                 :             : 
    1611                 :             :         /*
    1612                 :             :          * If we consolidated with both the preceding and following entries,
    1613                 :             :          * we must remove the following entry.  We do this last, because
    1614                 :             :          * removing an element from the btree may invalidate pointers we hold
    1615                 :             :          * into the current data structure.
    1616                 :             :          *
    1617                 :             :          * NB: The btree is technically in an invalid state a this point
    1618                 :             :          * because we've already updated prevkey to cover the same key space
    1619                 :             :          * as nextkey.  FreePageBtreeRemove() shouldn't notice that, though.
    1620                 :             :          */
    1621         [ +  + ]:         266 :         if (remove_next)
    1622                 :         144 :             FreePageBtreeRemove(fpm, np, nindex);
    1623                 :             : 
    1624                 :         266 :         return result;
    1625                 :             :     }
    1626                 :             : 
    1627                 :             :     /* Consolidate with the next entry if possible. */
    1628   [ +  -  +  + ]:        1486 :     if (nextkey != NULL && first_page + npages >= nextkey->first_page)
    1629                 :             :     {
    1630                 :             :         Size        newpages;
    1631                 :             : 
    1632                 :             :         /* Compute new size for span. */
    1633                 :             :         Assert(first_page + npages == nextkey->first_page);
    1634                 :         839 :         newpages = (nextkey->first_page - first_page) + nextkey->npages;
    1635                 :             : 
    1636                 :             :         /* Put span on correct free list. */
    1637                 :         839 :         FreePagePopSpanLeader(fpm, nextkey->first_page);
    1638                 :         839 :         FreePagePushSpanLeader(fpm, first_page, newpages);
    1639                 :             : 
    1640                 :             :         /* Update key in place. */
    1641                 :         839 :         nextkey->first_page = first_page;
    1642                 :         839 :         nextkey->npages = newpages;
    1643                 :             : 
    1644                 :             :         /* If reducing first key on page, ancestors might need adjustment. */
    1645         [ +  + ]:         839 :         if (nindex == 0)
    1646                 :         423 :             FreePageBtreeAdjustAncestorKeys(fpm, np);
    1647                 :             : 
    1648                 :         839 :         return nextkey->npages;
    1649                 :             :     }
    1650                 :             : 
    1651                 :             :     /* Split leaf page and as many of its ancestors as necessary. */
    1652         [ -  + ]:         647 :     if (result.split_pages > 0)
    1653                 :             :     {
    1654                 :             :         /*
    1655                 :             :          * NB: We could consider various coping strategies here to avoid a
    1656                 :             :          * split; most obviously, if np != result.page, we could target that
    1657                 :             :          * page instead.   More complicated shuffling strategies could be
    1658                 :             :          * possible as well; basically, unless every single leaf page is 100%
    1659                 :             :          * full, we can jam this key in there if we try hard enough.  It's
    1660                 :             :          * unlikely that trying that hard is worthwhile, but it's possible we
    1661                 :             :          * might need to make more than no effort.  For now, we just do the
    1662                 :             :          * easy thing, which is nothing.
    1663                 :             :          */
    1664                 :             : 
    1665                 :             :         /* If this is a soft insert, it's time to give up. */
    1666         [ #  # ]:           0 :         if (soft)
    1667                 :           0 :             return 0;
    1668                 :             : 
    1669                 :             :         /* Check whether we need to allocate more btree pages to split. */
    1670         [ #  # ]:           0 :         if (result.split_pages > fpm->btree_recycle_count)
    1671                 :             :         {
    1672                 :             :             Size        pages_needed;
    1673                 :             :             Size        recycle_page;
    1674                 :             :             Size        i;
    1675                 :             : 
    1676                 :             :             /*
    1677                 :             :              * Allocate the required number of pages and split each one in
    1678                 :             :              * turn.  This should never fail, because if we've got enough
    1679                 :             :              * spans of free pages kicking around that we need additional
    1680                 :             :              * storage space just to remember them all, then we should
    1681                 :             :              * certainly have enough to expand the btree, which should only
    1682                 :             :              * ever use a tiny number of pages compared to the number under
    1683                 :             :              * management.  If it does, something's badly screwed up.
    1684                 :             :              */
    1685                 :           0 :             pages_needed = result.split_pages - fpm->btree_recycle_count;
    1686         [ #  # ]:           0 :             for (i = 0; i < pages_needed; ++i)
    1687                 :             :             {
    1688         [ #  # ]:           0 :                 if (!FreePageManagerGetInternal(fpm, 1, &recycle_page))
    1689         [ #  # ]:           0 :                     elog(FATAL, "free page manager btree is corrupt");
    1690                 :           0 :                 FreePageBtreeRecycle(fpm, recycle_page);
    1691                 :             :             }
    1692                 :             : 
    1693                 :             :             /*
    1694                 :             :              * The act of allocating pages to recycle may have invalidated the
    1695                 :             :              * results of our previous btree research, so repeat it. (We could
    1696                 :             :              * recheck whether any of our split-avoidance strategies that were
    1697                 :             :              * not viable before now are, but it hardly seems worthwhile, so
    1698                 :             :              * we don't bother. Consolidation can't be possible now if it
    1699                 :             :              * wasn't previously.)
    1700                 :             :              */
    1701                 :           0 :             FreePageBtreeSearch(fpm, first_page, &result);
    1702                 :             : 
    1703                 :             :             /*
    1704                 :             :              * The act of allocating pages for use in constructing our btree
    1705                 :             :              * should never cause any page to become more full, so the new
    1706                 :             :              * split depth should be no greater than the old one, and perhaps
    1707                 :             :              * less if we fortuitously allocated a chunk that freed up a slot
    1708                 :             :              * on the page we need to update.
    1709                 :             :              */
    1710                 :             :             Assert(result.split_pages <= fpm->btree_recycle_count);
    1711                 :             :         }
    1712                 :             : 
    1713                 :             :         /* If we still need to perform a split, do it. */
    1714         [ #  # ]:           0 :         if (result.split_pages > 0)
    1715                 :             :         {
    1716                 :           0 :             FreePageBtree *split_target = result.page;
    1717                 :           0 :             FreePageBtree *child = NULL;
    1718                 :           0 :             Size        key = first_page;
    1719                 :             : 
    1720                 :             :             for (;;)
    1721                 :           0 :             {
    1722                 :             :                 FreePageBtree *newsibling;
    1723                 :             :                 FreePageBtree *parent;
    1724                 :             : 
    1725                 :             :                 /* Identify parent page, which must receive downlink. */
    1726         [ #  # ]:           0 :                 parent = relptr_access(base, split_target->hdr.parent);
    1727                 :             : 
    1728                 :             :                 /* Split the page - downlink not added yet. */
    1729                 :           0 :                 newsibling = FreePageBtreeSplitPage(fpm, split_target);
    1730                 :             : 
    1731                 :             :                 /*
    1732                 :             :                  * At this point in the loop, we're always carrying a pending
    1733                 :             :                  * insertion.  On the first pass, it's the actual key we're
    1734                 :             :                  * trying to insert; on subsequent passes, it's the downlink
    1735                 :             :                  * that needs to be added as a result of the split performed
    1736                 :             :                  * during the previous loop iteration.  Since we've just split
    1737                 :             :                  * the page, there's definitely room on one of the two
    1738                 :             :                  * resulting pages.
    1739                 :             :                  */
    1740         [ #  # ]:           0 :                 if (child == NULL)
    1741                 :             :                 {
    1742                 :             :                     Size        index;
    1743                 :             :                     FreePageBtree *insert_into;
    1744                 :             : 
    1745                 :           0 :                     insert_into = key < newsibling->u.leaf_key[0].first_page ?
    1746         [ #  # ]:           0 :                         split_target : newsibling;
    1747                 :           0 :                     index = FreePageBtreeSearchLeaf(insert_into, key);
    1748                 :           0 :                     FreePageBtreeInsertLeaf(insert_into, index, key, npages);
    1749   [ #  #  #  # ]:           0 :                     if (index == 0 && insert_into == split_target)
    1750                 :           0 :                         FreePageBtreeAdjustAncestorKeys(fpm, split_target);
    1751                 :             :                 }
    1752                 :             :                 else
    1753                 :             :                 {
    1754                 :             :                     Size        index;
    1755                 :             :                     FreePageBtree *insert_into;
    1756                 :             : 
    1757                 :           0 :                     insert_into =
    1758                 :           0 :                         key < newsibling->u.internal_key[0].first_page ?
    1759         [ #  # ]:           0 :                         split_target : newsibling;
    1760                 :           0 :                     index = FreePageBtreeSearchInternal(insert_into, key);
    1761                 :           0 :                     FreePageBtreeInsertInternal(base, insert_into, index,
    1762                 :             :                                                 key, child);
    1763                 :           0 :                     relptr_store(base, child->hdr.parent, insert_into);
    1764   [ #  #  #  # ]:           0 :                     if (index == 0 && insert_into == split_target)
    1765                 :           0 :                         FreePageBtreeAdjustAncestorKeys(fpm, split_target);
    1766                 :             :                 }
    1767                 :             : 
    1768                 :             :                 /* If the page we just split has no parent, split the root. */
    1769         [ #  # ]:           0 :                 if (parent == NULL)
    1770                 :             :                 {
    1771                 :             :                     FreePageBtree *newroot;
    1772                 :             : 
    1773                 :           0 :                     newroot = FreePageBtreeGetRecycled(fpm);
    1774                 :           0 :                     newroot->hdr.magic = FREE_PAGE_INTERNAL_MAGIC;
    1775                 :           0 :                     newroot->hdr.nused = 2;
    1776                 :           0 :                     relptr_store(base, newroot->hdr.parent,
    1777                 :             :                                  (FreePageBtree *) NULL);
    1778                 :           0 :                     newroot->u.internal_key[0].first_page =
    1779                 :           0 :                         FreePageBtreeFirstKey(split_target);
    1780                 :           0 :                     relptr_store(base, newroot->u.internal_key[0].child,
    1781                 :             :                                  split_target);
    1782                 :           0 :                     relptr_store(base, split_target->hdr.parent, newroot);
    1783                 :           0 :                     newroot->u.internal_key[1].first_page =
    1784                 :           0 :                         FreePageBtreeFirstKey(newsibling);
    1785                 :           0 :                     relptr_store(base, newroot->u.internal_key[1].child,
    1786                 :             :                                  newsibling);
    1787                 :           0 :                     relptr_store(base, newsibling->hdr.parent, newroot);
    1788                 :           0 :                     relptr_store(base, fpm->btree_root, newroot);
    1789                 :           0 :                     fpm->btree_depth++;
    1790                 :             : 
    1791                 :           0 :                     break;
    1792                 :             :                 }
    1793                 :             : 
    1794                 :             :                 /* If the parent page isn't full, insert the downlink. */
    1795                 :           0 :                 key = newsibling->u.internal_key[0].first_page;
    1796         [ #  # ]:           0 :                 if (parent->hdr.nused < FPM_ITEMS_PER_INTERNAL_PAGE)
    1797                 :             :                 {
    1798                 :             :                     Size        index;
    1799                 :             : 
    1800                 :           0 :                     index = FreePageBtreeSearchInternal(parent, key);
    1801                 :           0 :                     FreePageBtreeInsertInternal(base, parent, index,
    1802                 :             :                                                 key, newsibling);
    1803                 :           0 :                     relptr_store(base, newsibling->hdr.parent, parent);
    1804         [ #  # ]:           0 :                     if (index == 0)
    1805                 :           0 :                         FreePageBtreeAdjustAncestorKeys(fpm, parent);
    1806                 :           0 :                     break;
    1807                 :             :                 }
    1808                 :             : 
    1809                 :             :                 /* The parent also needs to be split, so loop around. */
    1810                 :           0 :                 child = newsibling;
    1811                 :           0 :                 split_target = parent;
    1812                 :             :             }
    1813                 :             : 
    1814                 :             :             /*
    1815                 :             :              * The loop above did the insert, so just need to update the free
    1816                 :             :              * list, and we're done.
    1817                 :             :              */
    1818                 :           0 :             FreePagePushSpanLeader(fpm, first_page, npages);
    1819                 :             : 
    1820                 :           0 :             return npages;
    1821                 :             :         }
    1822                 :             :     }
    1823                 :             : 
    1824                 :             :     /* Physically add the key to the page. */
    1825                 :             :     Assert(result.page->hdr.nused < FPM_ITEMS_PER_LEAF_PAGE);
    1826                 :         647 :     FreePageBtreeInsertLeaf(result.page, result.index, first_page, npages);
    1827                 :             : 
    1828                 :             :     /* If new first key on page, ancestors might need adjustment. */
    1829         [ +  + ]:         647 :     if (result.index == 0)
    1830                 :         367 :         FreePageBtreeAdjustAncestorKeys(fpm, result.page);
    1831                 :             : 
    1832                 :             :     /* Put it on the free list. */
    1833                 :         647 :     FreePagePushSpanLeader(fpm, first_page, npages);
    1834                 :             : 
    1835                 :         647 :     return npages;
    1836                 :             : }
    1837                 :             : 
    1838                 :             : /*
    1839                 :             :  * Remove a FreePageSpanLeader from the linked-list that contains it, either
    1840                 :             :  * because we're changing the size of the span, or because we're allocating it.
    1841                 :             :  */
    1842                 :             : static void
    1843                 :        2636 : FreePagePopSpanLeader(FreePageManager *fpm, Size pageno)
    1844                 :             : {
    1845                 :        2636 :     char       *base = fpm_segment_base(fpm);
    1846                 :             :     FreePageSpanLeader *span;
    1847                 :             :     FreePageSpanLeader *next;
    1848                 :             :     FreePageSpanLeader *prev;
    1849                 :             : 
    1850                 :        2636 :     span = (FreePageSpanLeader *) fpm_page_to_pointer(base, pageno);
    1851                 :             : 
    1852         [ +  + ]:        2636 :     next = relptr_access(base, span->next);
    1853         [ +  + ]:        2636 :     prev = relptr_access(base, span->prev);
    1854         [ +  + ]:        2636 :     if (next != NULL)
    1855                 :         137 :         relptr_copy(next->prev, span->prev);
    1856         [ +  + ]:        2636 :     if (prev != NULL)
    1857                 :          40 :         relptr_copy(prev->next, span->next);
    1858                 :             :     else
    1859                 :             :     {
    1860                 :        2596 :         Size        f = Min(span->npages, FPM_NUM_FREELISTS) - 1;
    1861                 :             : 
    1862                 :             :         Assert(relptr_offset(fpm->freelist[f]) == pageno * FPM_PAGE_SIZE);
    1863                 :        2596 :         relptr_copy(fpm->freelist[f], span->next);
    1864                 :             :     }
    1865                 :        2636 : }
    1866                 :             : 
    1867                 :             : /*
    1868                 :             :  * Initialize a new FreePageSpanLeader and put it on the appropriate free list.
    1869                 :             :  */
    1870                 :             : static void
    1871                 :       22713 : FreePagePushSpanLeader(FreePageManager *fpm, Size first_page, Size npages)
    1872                 :             : {
    1873                 :       22713 :     char       *base = fpm_segment_base(fpm);
    1874                 :       22713 :     Size        f = Min(npages, FPM_NUM_FREELISTS) - 1;
    1875         [ +  + ]:       22713 :     FreePageSpanLeader *head = relptr_access(base, fpm->freelist[f]);
    1876                 :             :     FreePageSpanLeader *span;
    1877                 :             : 
    1878                 :       22713 :     span = (FreePageSpanLeader *) fpm_page_to_pointer(base, first_page);
    1879                 :       22713 :     span->magic = FREE_PAGE_SPAN_LEADER_MAGIC;
    1880                 :       22713 :     span->npages = npages;
    1881                 :       22713 :     relptr_store(base, span->next, head);
    1882                 :       22713 :     relptr_store(base, span->prev, (FreePageSpanLeader *) NULL);
    1883         [ +  + ]:       22713 :     if (head != NULL)
    1884                 :         244 :         relptr_store(base, head->prev, span);
    1885                 :       22713 :     relptr_store(base, fpm->freelist[f], span);
    1886                 :       22713 : }
        

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