LCOV - differential code coverage report
Current view: top level - src/backend/utils/mmgr - freepage.c (source / functions) Coverage Total Hit UBC CBC
Current: Differential Code Coverage HEAD vs 15 Lines: 55.1 % 670 369 301 369
Current Date: 2023-04-08 17:13:01 Functions: 72.4 % 29 21 8 21
Baseline: 15 Line coverage date bins:
Baseline Date: 2023-04-08 15:09:40 (240..) days: 55.1 % 670 369 301 369
Legend: Lines: hit not hit Function coverage date bins:
(240..) days: 72.4 % 29 21 8 21

 Age         Owner                  TLA  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) 1996-2023, 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
 2319 rhaas                     183 CBC        3557 : FreePageManagerInitialize(FreePageManager *fpm, char *base)
                                184                 : {
                                185                 :     Size        f;
                                186                 : 
                                187            3557 :     relptr_store(base, fpm->self, fpm);
                                188            3557 :     relptr_store(base, fpm->btree_root, (FreePageBtree *) NULL);
                                189            3557 :     relptr_store(base, fpm->btree_recycle, (FreePageSpanLeader *) NULL);
                                190            3557 :     fpm->btree_depth = 0;
                                191            3557 :     fpm->btree_recycle_count = 0;
                                192            3557 :     fpm->singleton_first_page = 0;
                                193            3557 :     fpm->singleton_npages = 0;
                                194            3557 :     fpm->contiguous_pages = 0;
                                195            3557 :     fpm->contiguous_pages_dirty = true;
                                196                 : #ifdef FPM_EXTRA_ASSERTS
                                197                 :     fpm->free_pages = 0;
                                198                 : #endif
                                199                 : 
                                200          462410 :     for (f = 0; f < FPM_NUM_FREELISTS; f++)
                                201          458853 :         relptr_store(base, fpm->freelist[f], (FreePageSpanLeader *) NULL);
                                202            3557 : }
                                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           15938 : FreePageManagerGet(FreePageManager *fpm, Size npages, Size *first_page)
                                211                 : {
                                212                 :     bool        result;
                                213                 :     Size        contiguous_pages;
                                214                 : 
                                215           15938 :     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           15938 :     contiguous_pages = FreePageBtreeCleanup(fpm);
                                229           15938 :     if (fpm->contiguous_pages < contiguous_pages)
                                230              42 :         fpm->contiguous_pages = contiguous_pages;
                                231                 : 
                                232                 :     /*
                                233                 :      * FreePageManagerGetInternal may have set contiguous_pages_dirty.
                                234                 :      * Recompute contiguous_pages if so.
                                235                 :      */
                                236           15938 :     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           15938 :     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           18419 : FreePageManagerLargestContiguous(FreePageManager *fpm)
                                325                 : {
                                326                 :     char       *base;
                                327                 :     Size        largest;
                                328                 : 
                                329           18419 :     base = fpm_segment_base(fpm);
                                330           18419 :     largest = 0;
                                331           18419 :     if (!relptr_is_null(fpm->freelist[FPM_NUM_FREELISTS - 1]))
                                332                 :     {
                                333                 :         FreePageSpanLeader *candidate;
                                334                 : 
                                335            8466 :         candidate = relptr_access(base, fpm->freelist[FPM_NUM_FREELISTS - 1]);
                                336                 :         do
                                337                 :         {
                                338            8466 :             if (candidate->npages > largest)
                                339            8466 :                 largest = candidate->npages;
                                340            8466 :             candidate = relptr_access(base, candidate->next);
                                341            8466 :         } while (candidate != NULL);
                                342                 :     }
                                343                 :     else
                                344                 :     {
                                345            9953 :         Size        f = FPM_NUM_FREELISTS - 1;
                                346                 : 
                                347                 :         do
                                348                 :         {
                                349          856789 :             --f;
                                350          856789 :             if (!relptr_is_null(fpm->freelist[f]))
                                351                 :             {
                                352            9953 :                 largest = f + 1;
                                353            9953 :                 break;
                                354                 :             }
                                355          846836 :         } while (f > 0);
                                356                 :     }
                                357                 : 
                                358           18419 :     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           21403 : FreePageManagerUpdateLargest(FreePageManager *fpm)
                                367                 : {
                                368           21403 :     if (!fpm->contiguous_pages_dirty)
                                369            2984 :         return;
                                370                 : 
                                371           18419 :     fpm->contiguous_pages = FreePageManagerLargestContiguous(fpm);
                                372           18419 :     fpm->contiguous_pages_dirty = false;
                                373                 : }
                                374                 : 
                                375                 : /*
                                376                 :  * Transfer a run of pages to the free page manager.
                                377                 :  */
                                378                 : void
                                379            5465 : FreePageManagerPut(FreePageManager *fpm, Size first_page, Size npages)
                                380                 : {
                                381                 :     Size        contiguous_pages;
                                382                 : 
                                383            5465 :     Assert(npages > 0);
                                384                 : 
                                385                 :     /* Record the new pages. */
                                386                 :     contiguous_pages =
                                387            5465 :         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            5465 :     if (contiguous_pages > npages)
                                394                 :     {
                                395                 :         Size        cleanup_contiguous_pages;
                                396                 : 
                                397            1612 :         cleanup_contiguous_pages = FreePageBtreeCleanup(fpm);
                                398            1612 :         if (cleanup_contiguous_pages > contiguous_pages)
                                399              58 :             contiguous_pages = cleanup_contiguous_pages;
                                400                 :     }
                                401                 : 
                                402                 :     /* See if we now have a new largest chunk. */
                                403            5465 :     if (fpm->contiguous_pages < contiguous_pages)
                                404            3976 :         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            5465 :     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            5465 : }
                                419                 : 
                                420                 : /*
                                421                 :  * Produce a debugging dump of the state of a free page manager.
                                422                 :  */
                                423                 : char *
 2319 rhaas                     424 UBC           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",
  286 tmunro                    437               0 :                      relptr_offset(fpm->self), fpm->contiguous_pages);
                                438                 : 
                                439                 :     /* Dump btree. */
 2319 rhaas                     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                 :     {
 2063 peter_e                   458               0 :         appendStringInfoString(&buf, "btree recycle:");
 2319 rhaas                     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                 :         {
 2063 peter_e                   471               0 :             appendStringInfoString(&buf, "freelists:\n");
 2319 rhaas                     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
 2319 rhaas                     501 CBC        1171 : FreePageBtreeAdjustAncestorKeys(FreePageManager *fpm, FreePageBtree *btp)
                                502                 : {
                                503            1171 :     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            1171 :     Assert(btp->hdr.nused > 0);
                                510            1171 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
                                511                 :     {
                                512            1171 :         Assert(btp->hdr.nused <= FPM_ITEMS_PER_LEAF_PAGE);
                                513            1171 :         first_page = btp->u.leaf_key[0].first_page;
                                514                 :     }
                                515                 :     else
                                516                 :     {
 2319 rhaas                     517 UBC           0 :         Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
                                518               0 :         Assert(btp->hdr.nused <= FPM_ITEMS_PER_INTERNAL_PAGE);
                                519               0 :         first_page = btp->u.internal_key[0].first_page;
                                520                 :     }
 2319 rhaas                     521 CBC        1171 :     child = btp;
                                522                 : 
                                523                 :     /* Loop until we find an ancestor that does not require adjustment. */
                                524                 :     for (;;)
 2319 rhaas                     525 UBC           0 :     {
                                526                 :         Size        s;
                                527                 : 
 2319 rhaas                     528 CBC        1171 :         parent = relptr_access(base, child->hdr.parent);
                                529            1171 :         if (parent == NULL)
                                530            1171 :             break;
 2319 rhaas                     531 UBC           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               0 :             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               0 :                 Assert(s > 0);
                                547               0 :                 --s;
                                548                 :             }
                                549                 :         }
                                550                 : 
                                551                 : #ifdef USE_ASSERT_CHECKING
                                552                 :         /* Debugging double-check. */
                                553                 :         {
                                554                 :             FreePageBtree *check;
                                555                 : 
                                556               0 :             check = relptr_access(base, parent->u.internal_key[s].child);
                                557               0 :             Assert(s < parent->hdr.nused);
                                558               0 :             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                 :     }
 2319 rhaas                     573 CBC        1171 : }
                                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           17550 : FreePageBtreeCleanup(FreePageManager *fpm)
                                581                 : {
                                582           17550 :     char       *base = fpm_segment_base(fpm);
                                583           17550 :     Size        max_contiguous_pages = 0;
                                584                 : 
                                585                 :     /* Attempt to shrink the depth of the btree. */
                                586           17654 :     while (!relptr_is_null(fpm->btree_root))
                                587                 :     {
                                588            2247 :         FreePageBtree *root = relptr_access(base, fpm->btree_root);
                                589                 : 
                                590                 :         /* If the root contains only one key, reduce depth by one. */
                                591            2247 :         if (root->hdr.nused == 1)
                                592                 :         {
                                593                 :             /* Shrink depth of tree by one. */
                                594             104 :             Assert(fpm->btree_depth > 0);
                                595             104 :             --fpm->btree_depth;
                                596             104 :             if (root->hdr.magic == FREE_PAGE_LEAF_MAGIC)
                                597                 :             {
                                598                 :                 /* If root is a leaf, convert only entry to singleton range. */
                                599             104 :                 relptr_store(base, fpm->btree_root, (FreePageBtree *) NULL);
                                600             104 :                 fpm->singleton_first_page = root->u.leaf_key[0].first_page;
                                601             104 :                 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. */
 2319 rhaas                     608 UBC           0 :                 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                 :             }
 2319 rhaas                     613 CBC         104 :             FreePageBtreeRecycle(fpm, fpm_pointer_to_page(base, root));
                                614                 :         }
                                615            2143 :         else if (root->hdr.nused == 2 &&
                                616            1054 :                  root->hdr.magic == FREE_PAGE_LEAF_MAGIC)
                                617                 :         {
                                618                 :             Size        end_of_first;
                                619                 :             Size        start_of_second;
                                620                 : 
                                621            1054 :             end_of_first = root->u.leaf_key[0].first_page +
                                622            1054 :                 root->u.leaf_key[0].npages;
                                623            1054 :             start_of_second = root->u.leaf_key[1].first_page;
                                624                 : 
                                625            1054 :             if (end_of_first + 1 == start_of_second)
                                626                 :             {
                                627              58 :                 Size        root_page = fpm_pointer_to_page(base, root);
                                628                 : 
                                629              58 :                 if (end_of_first == root_page)
                                630                 :                 {
                                631              58 :                     FreePagePopSpanLeader(fpm, root->u.leaf_key[0].first_page);
                                632              58 :                     FreePagePopSpanLeader(fpm, root->u.leaf_key[1].first_page);
                                633              58 :                     fpm->singleton_first_page = root->u.leaf_key[0].first_page;
                                634              58 :                     fpm->singleton_npages = root->u.leaf_key[0].npages +
                                635              58 :                         root->u.leaf_key[1].npages + 1;
                                636              58 :                     fpm->btree_depth = 0;
                                637              58 :                     relptr_store(base, fpm->btree_root,
                                638                 :                                  (FreePageBtree *) NULL);
                                639              58 :                     FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
                                640                 :                                            fpm->singleton_npages);
                                641              58 :                     Assert(max_contiguous_pages == 0);
                                642              58 :                     max_contiguous_pages = fpm->singleton_npages;
                                643                 :                 }
                                644                 :             }
                                645                 : 
                                646                 :             /* Whether it worked or not, it's time to stop. */
                                647            1054 :             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           17592 :     while (fpm->btree_recycle_count > 0)
                                667                 :     {
                                668                 :         FreePageBtree *btp;
                                669                 :         Size        first_page;
                                670                 :         Size        contiguous_pages;
                                671                 : 
                                672             135 :         btp = FreePageBtreeGetRecycled(fpm);
                                673             135 :         first_page = fpm_pointer_to_page(base, btp);
                                674             135 :         contiguous_pages = FreePageManagerPutInternal(fpm, first_page, 1, true);
                                675             135 :         if (contiguous_pages == 0)
                                676                 :         {
                                677              93 :             FreePageBtreeRecycle(fpm, first_page);
                                678              93 :             break;
                                679                 :         }
                                680                 :         else
                                681                 :         {
                                682              42 :             if (contiguous_pages > max_contiguous_pages)
                                683              42 :                 max_contiguous_pages = contiguous_pages;
                                684                 :         }
                                685                 :     }
                                686                 : 
                                687           17550 :     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             498 : FreePageBtreeConsolidate(FreePageManager *fpm, FreePageBtree *btp)
                                696                 : {
                                697             498 :     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             498 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
                                711             498 :         max = FPM_ITEMS_PER_LEAF_PAGE;
                                712                 :     else
                                713                 :     {
 2319 rhaas                     714 UBC           0 :         Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
                                715               0 :         max = FPM_ITEMS_PER_INTERNAL_PAGE;
                                716                 :     }
 2319 rhaas                     717 CBC         498 :     if (btp->hdr.nused >= max / 3)
 2319 rhaas                     718 UBC           0 :         return;
                                719                 : 
                                720                 :     /*
                                721                 :      * If we can fit our right sibling's keys onto this page, consolidate.
                                722                 :      */
 2319 rhaas                     723 CBC         498 :     np = FreePageBtreeFindRightSibling(base, btp);
                                724             498 :     if (np != NULL && btp->hdr.nused + np->hdr.nused <= max)
                                725                 :     {
 2319 rhaas                     726 UBC           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                 :      */
 2319 rhaas                     748 CBC         498 :     np = FreePageBtreeFindLeftSibling(base, btp);
                                749             498 :     if (np != NULL && btp->hdr.nused + np->hdr.nused <= max)
                                750                 :     {
 2319 rhaas                     751 UBC           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 *
 2319 rhaas                     774 CBC         498 : FreePageBtreeFindLeftSibling(char *base, FreePageBtree *btp)
                                775                 : {
                                776             498 :     FreePageBtree *p = btp;
                                777             498 :     int         levels = 0;
                                778                 : 
                                779                 :     /* Move up until we can move left. */
                                780                 :     for (;;)
 2319 rhaas                     781 UBC           0 :     {
                                782                 :         Size        first_page;
                                783                 :         Size        index;
                                784                 : 
 2319 rhaas                     785 CBC         498 :         first_page = FreePageBtreeFirstKey(p);
                                786             498 :         p = relptr_access(base, p->hdr.parent);
                                787                 : 
                                788             498 :         if (p == NULL)
                                789             498 :             return NULL;        /* we were passed the rightmost page */
                                790                 : 
 2319 rhaas                     791 UBC           0 :         index = FreePageBtreeSearchInternal(p, first_page);
                                792               0 :         if (index > 0)
                                793                 :         {
                                794               0 :             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               0 :         Assert(index == 0);
                                799               0 :         ++levels;
                                800                 :     }
                                801                 : 
                                802                 :     /* Descend left. */
                                803               0 :     while (levels > 0)
                                804                 :     {
                                805               0 :         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               0 :     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 *
 2319 rhaas                     819 CBC         503 : FreePageBtreeFindRightSibling(char *base, FreePageBtree *btp)
                                820                 : {
                                821             503 :     FreePageBtree *p = btp;
                                822             503 :     int         levels = 0;
                                823                 : 
                                824                 :     /* Move up until we can move right. */
                                825                 :     for (;;)
 2319 rhaas                     826 UBC           0 :     {
                                827                 :         Size        first_page;
                                828                 :         Size        index;
                                829                 : 
 2319 rhaas                     830 CBC         503 :         first_page = FreePageBtreeFirstKey(p);
                                831             503 :         p = relptr_access(base, p->hdr.parent);
                                832                 : 
                                833             503 :         if (p == NULL)
                                834             503 :             return NULL;        /* we were passed the rightmost page */
                                835                 : 
 2319 rhaas                     836 UBC           0 :         index = FreePageBtreeSearchInternal(p, first_page);
                                837               0 :         if (index < p->hdr.nused - 1)
                                838                 :         {
                                839               0 :             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               0 :         Assert(index == p->hdr.nused - 1);
                                844               0 :         ++levels;
                                845                 :     }
                                846                 : 
                                847                 :     /* Descend left. */
                                848               0 :     while (levels > 0)
                                849                 :     {
                                850               0 :         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               0 :     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
 2319 rhaas                     863 CBC        1001 : FreePageBtreeFirstKey(FreePageBtree *btp)
                                864                 : {
                                865            1001 :     Assert(btp->hdr.nused > 0);
                                866                 : 
                                867            1001 :     if (btp->hdr.magic == FREE_PAGE_LEAF_MAGIC)
                                868            1001 :         return btp->u.leaf_key[0].first_page;
                                869                 :     else
                                870                 :     {
 2319 rhaas                     871 UBC           0 :         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 *
 2319 rhaas                     880 CBC         197 : FreePageBtreeGetRecycled(FreePageManager *fpm)
                                881                 : {
                                882             197 :     char       *base = fpm_segment_base(fpm);
                                883             197 :     FreePageSpanLeader *victim = relptr_access(base, fpm->btree_recycle);
                                884                 :     FreePageSpanLeader *newhead;
                                885                 : 
                                886             197 :     Assert(victim != NULL);
                                887             197 :     newhead = relptr_access(base, victim->next);
                                888             197 :     if (newhead != NULL)
 2319 rhaas                     889 UBC           0 :         relptr_copy(newhead->prev, victim->prev);
 2319 rhaas                     890 CBC         197 :     relptr_store(base, fpm->btree_recycle, newhead);
                                891             197 :     Assert(fpm_pointer_is_page_aligned(base, victim));
                                892             197 :     fpm->btree_recycle_count--;
                                893             197 :     return (FreePageBtree *) victim;
                                894                 : }
                                895                 : 
                                896                 : /*
                                897                 :  * Insert an item into an internal page.
                                898                 :  */
                                899                 : static void
 2319 rhaas                     900 UBC           0 : FreePageBtreeInsertInternal(char *base, FreePageBtree *btp, Size index,
                                901                 :                             Size first_page, FreePageBtree *child)
                                902                 : {
                                903               0 :     Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
                                904               0 :     Assert(btp->hdr.nused <= FPM_ITEMS_PER_INTERNAL_PAGE);
                                905               0 :     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.
                                915                 :  */
                                916                 : static void
 2319 rhaas                     917 CBC         604 : FreePageBtreeInsertLeaf(FreePageBtree *btp, Size index, Size first_page,
                                918                 :                         Size npages)
                                919                 : {
                                920             604 :     Assert(btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
                                921             604 :     Assert(btp->hdr.nused <= FPM_ITEMS_PER_LEAF_PAGE);
                                922             604 :     Assert(index <= btp->hdr.nused);
                                923             604 :     memmove(&btp->u.leaf_key[index + 1], &btp->u.leaf_key[index],
                                924             604 :             sizeof(FreePageBtreeLeafKey) * (btp->hdr.nused - index));
                                925             604 :     btp->u.leaf_key[index].first_page = first_page;
                                926             604 :     btp->u.leaf_key[index].npages = npages;
                                927             604 :     ++btp->hdr.nused;
                                928             604 : }
                                929                 : 
                                930                 : /*
                                931                 :  * Put a page on the btree recycle list.
                                932                 :  */
                                933                 : static void
                                934             197 : FreePageBtreeRecycle(FreePageManager *fpm, Size pageno)
                                935                 : {
                                936             197 :     char       *base = fpm_segment_base(fpm);
                                937             197 :     FreePageSpanLeader *head = relptr_access(base, fpm->btree_recycle);
                                938                 :     FreePageSpanLeader *span;
                                939                 : 
                                940             197 :     span = (FreePageSpanLeader *) fpm_page_to_pointer(base, pageno);
                                941             197 :     span->magic = FREE_PAGE_SPAN_LEADER_MAGIC;
                                942             197 :     span->npages = 1;
                                943             197 :     relptr_store(base, span->next, head);
                                944             197 :     relptr_store(base, span->prev, (FreePageSpanLeader *) NULL);
                                945             197 :     if (head != NULL)
 2319 rhaas                     946 UBC           0 :         relptr_store(base, head->prev, span);
 2319 rhaas                     947 CBC         197 :     relptr_store(base, fpm->btree_recycle, span);
                                948             197 :     fpm->btree_recycle_count++;
                                949             197 : }
                                950                 : 
                                951                 : /*
                                952                 :  * Remove an item from the btree at the given position on the given page.
                                953                 :  */
                                954                 : static void
                                955             498 : FreePageBtreeRemove(FreePageManager *fpm, FreePageBtree *btp, Size index)
                                956                 : {
                                957             498 :     Assert(btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
                                958             498 :     Assert(index < btp->hdr.nused);
                                959                 : 
                                960                 :     /* When last item is removed, extirpate entire page from btree. */
                                961             498 :     if (btp->hdr.nused == 1)
                                962                 :     {
 2319 rhaas                     963 UBC           0 :         FreePageBtreeRemovePage(fpm, btp);
                                964               0 :         return;
                                965                 :     }
                                966                 : 
                                967                 :     /* Physically remove the key from the page. */
 2319 rhaas                     968 CBC         498 :     --btp->hdr.nused;
                                969             498 :     if (index < btp->hdr.nused)
                                970             491 :         memmove(&btp->u.leaf_key[index], &btp->u.leaf_key[index + 1],
                                971             491 :                 sizeof(FreePageBtreeLeafKey) * (btp->hdr.nused - index));
                                972                 : 
                                973                 :     /* If we just removed the first key, adjust ancestor keys. */
                                974             498 :     if (index == 0)
                                975             178 :         FreePageBtreeAdjustAncestorKeys(fpm, btp);
                                976                 : 
                                977                 :     /* Consider whether to consolidate this page with a sibling. */
                                978             498 :     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
 2319 rhaas                     987 UBC           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                 :     {
                                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               0 :             Assert(fpm->singleton_first_page == 0);
                               1004               0 :             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               0 :         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               0 :         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               0 :     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
 2319 rhaas                    1064 CBC        2851 : FreePageBtreeSearch(FreePageManager *fpm, Size first_page,
                               1065                 :                     FreePageBtreeSearchResult *result)
                               1066                 : {
                               1067            2851 :     char       *base = fpm_segment_base(fpm);
                               1068            2851 :     FreePageBtree *btp = relptr_access(base, fpm->btree_root);
                               1069                 :     Size        index;
                               1070                 : 
                               1071            2851 :     result->split_pages = 1;
                               1072                 : 
                               1073                 :     /* If the btree is empty, there's nothing to find. */
                               1074            2851 :     if (btp == NULL)
                               1075                 :     {
 2319 rhaas                    1076 UBC           0 :         result->page = NULL;
                               1077               0 :         result->found = false;
                               1078               0 :         return;
                               1079                 :     }
                               1080                 : 
                               1081                 :     /* Descend until we hit a leaf. */
 2319 rhaas                    1082 CBC        2851 :     while (btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC)
                               1083                 :     {
                               1084                 :         FreePageBtree *child;
                               1085                 :         bool        found_exact;
                               1086                 : 
 2319 rhaas                    1087 UBC           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               0 :             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               0 :         Assert(index < btp->hdr.nused);
                               1110               0 :         child = relptr_access(base, btp->u.internal_key[index].child);
                               1111               0 :         Assert(relptr_access(base, child->hdr.parent) == btp);
                               1112               0 :         btp = child;
                               1113                 :     }
                               1114                 : 
                               1115                 :     /* Track required split depth for leaf insert. */
 2319 rhaas                    1116 CBC        2851 :     if (btp->hdr.nused >= FPM_ITEMS_PER_LEAF_PAGE)
                               1117                 :     {
 2319 rhaas                    1118 UBC           0 :         Assert(btp->hdr.nused == FPM_ITEMS_PER_INTERNAL_PAGE);
                               1119               0 :         result->split_pages++;
                               1120                 :     }
                               1121                 :     else
 2319 rhaas                    1122 CBC        2851 :         result->split_pages = 0;
                               1123                 : 
                               1124                 :     /* Search leaf page. */
                               1125            2851 :     index = FreePageBtreeSearchLeaf(btp, first_page);
                               1126                 : 
                               1127                 :     /* Assemble results. */
                               1128            2851 :     result->page = btp;
                               1129            2851 :     result->index = index;
                               1130            5697 :     result->found = index < btp->hdr.nused &&
                               1131            2846 :         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
 2319 rhaas                    1140 UBC           0 : FreePageBtreeSearchInternal(FreePageBtree *btp, Size first_page)
                               1141                 : {
                               1142               0 :     Size        low = 0;
                               1143               0 :     Size        high = btp->hdr.nused;
                               1144                 : 
                               1145               0 :     Assert(btp->hdr.magic == FREE_PAGE_INTERNAL_MAGIC);
                               1146               0 :     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
 2319 rhaas                    1170 CBC        2851 : FreePageBtreeSearchLeaf(FreePageBtree *btp, Size first_page)
                               1171                 : {
                               1172            2851 :     Size        low = 0;
                               1173            2851 :     Size        high = btp->hdr.nused;
                               1174                 : 
                               1175            2851 :     Assert(btp->hdr.magic == FREE_PAGE_LEAF_MAGIC);
                               1176            2851 :     Assert(high > 0 && high <= FPM_ITEMS_PER_LEAF_PAGE);
                               1177                 : 
                               1178            6954 :     while (low < high)
                               1179                 :     {
                               1180            5261 :         Size        mid = (low + high) / 2;
                               1181            5261 :         Size        val = btp->u.leaf_key[mid].first_page;
                               1182                 : 
                               1183            5261 :         if (first_page == val)
                               1184            1158 :             return mid;
                               1185            4103 :         else if (first_page < val)
                               1186            3008 :             high = mid;
                               1187                 :         else
                               1188            1095 :             low = mid + 1;
                               1189                 :     }
                               1190                 : 
                               1191            1693 :     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 *
 2319 rhaas                    1201 UBC           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               0 :         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               0 :     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,
  286 tmunro                   1272               0 :                              relptr_offset(btp->u.internal_key[index].child) / FPM_PAGE_SIZE);
                               1273                 :         else
 2319 rhaas                    1274               0 :             appendStringInfo(buf, " %zu(%zu)",
                               1275                 :                              btp->u.leaf_key[index].first_page,
                               1276                 :                              btp->u.leaf_key[index].npages);
                               1277                 :     }
 2063 peter_e                  1278               0 :     appendStringInfoChar(buf, '\n');
                               1279                 : 
 2319 rhaas                    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                 : 
 2063 peter_e                  1311               0 :     appendStringInfoChar(buf, '\n');
 2319 rhaas                    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
 2319 rhaas                    1319 CBC       16078 : FreePageManagerGetInternal(FreePageManager *fpm, Size npages, Size *first_page)
                               1320                 : {
                               1321           16078 :     char       *base = fpm_segment_base(fpm);
                               1322           16078 :     FreePageSpanLeader *victim = NULL;
                               1323                 :     FreePageSpanLeader *prev;
                               1324                 :     FreePageSpanLeader *next;
                               1325                 :     FreePageBtreeSearchResult result;
                               1326           16078 :     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         1146931 :     for (f = Min(npages, FPM_NUM_FREELISTS) - 1; f < FPM_NUM_FREELISTS; ++f)
                               1341                 :     {
                               1342                 :         /* Skip empty freelists. */
                               1343         1146931 :         if (relptr_is_null(fpm->freelist[f]))
                               1344         1130853 :             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           16078 :         if (f < FPM_NUM_FREELISTS - 1)
                               1353            8889 :             victim = relptr_access(base, fpm->freelist[f]);
                               1354                 :         else
                               1355                 :         {
                               1356                 :             FreePageSpanLeader *candidate;
                               1357                 : 
                               1358            7189 :             candidate = relptr_access(base, fpm->freelist[f]);
                               1359                 :             do
                               1360                 :             {
                               1361            7189 :                 if (candidate->npages >= npages && (victim == NULL ||
 2118 tgl                      1362 UBC           0 :                                                     victim->npages > candidate->npages))
                               1363                 :                 {
 2319 rhaas                    1364 CBC        7189 :                     victim = candidate;
                               1365            7189 :                     if (victim->npages == npages)
 2319 rhaas                    1366 UBC           0 :                         break;
                               1367                 :                 }
 2319 rhaas                    1368 CBC        7189 :                 candidate = relptr_access(base, candidate->next);
                               1369            7189 :             } while (candidate != NULL);
                               1370                 :         }
                               1371           16078 :         break;
                               1372                 :     }
                               1373                 : 
                               1374                 :     /* If we didn't find an allocatable span, return failure. */
                               1375           16078 :     if (victim == NULL)
 2319 rhaas                    1376 UBC           0 :         return false;
                               1377                 : 
                               1378                 :     /* Remove span from free list. */
 2319 rhaas                    1379 CBC       16078 :     Assert(victim->magic == FREE_PAGE_SPAN_LEADER_MAGIC);
                               1380           16078 :     prev = relptr_access(base, victim->prev);
                               1381           16078 :     next = relptr_access(base, victim->next);
                               1382           16078 :     if (prev != NULL)
 2319 rhaas                    1383 UBC           0 :         relptr_copy(prev->next, victim->next);
                               1384                 :     else
 2319 rhaas                    1385 CBC       16078 :         relptr_copy(fpm->freelist[f], victim->next);
                               1386           16078 :     if (next != NULL)
                               1387             107 :         relptr_copy(next->prev, victim->prev);
                               1388           16078 :     victim_page = fpm_pointer_to_page(base, victim);
                               1389                 : 
                               1390                 :     /* Decide whether we might be invalidating contiguous_pages. */
                               1391           16078 :     if (f == FPM_NUM_FREELISTS - 1 &&
                               1392            7189 :         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            7189 :         fpm->contiguous_pages_dirty = true;
                               1401                 :     }
                               1402            8889 :     else if (f + 1 == fpm->contiguous_pages &&
                               1403            7996 :              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            7996 :         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           16078 :     if (relptr_is_null(fpm->btree_root))
                               1420                 :     {
                               1421           14920 :         Assert(victim_page == fpm->singleton_first_page);
                               1422           14920 :         Assert(victim->npages == fpm->singleton_npages);
                               1423           14920 :         Assert(victim->npages >= npages);
                               1424           14920 :         fpm->singleton_first_page += npages;
                               1425           14920 :         fpm->singleton_npages -= npages;
                               1426           14920 :         if (fpm->singleton_npages > 0)
                               1427           14905 :             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            1158 :         FreePageBtreeSearch(fpm, victim_page, &result);
                               1439            1158 :         Assert(result.found);
                               1440            1158 :         if (victim->npages == npages)
                               1441             365 :             FreePageBtreeRemove(fpm, result.page, result.index);
                               1442                 :         else
                               1443                 :         {
                               1444                 :             FreePageBtreeLeafKey *key;
                               1445                 : 
                               1446                 :             /* Adjust btree to reflect remaining pages. */
                               1447             793 :             Assert(victim->npages > npages);
                               1448             793 :             key = &result.page->u.leaf_key[result.index];
                               1449             793 :             Assert(key->npages == victim->npages);
                               1450             793 :             key->first_page += npages;
                               1451             793 :             key->npages -= npages;
                               1452             793 :             if (result.index == 0)
                               1453             360 :                 FreePageBtreeAdjustAncestorKeys(fpm, result.page);
                               1454                 : 
                               1455                 :             /* Put the unallocated pages back on the appropriate free list. */
                               1456             793 :             FreePagePushSpanLeader(fpm, victim_page + npages,
                               1457             793 :                                    victim->npages - npages);
                               1458                 :         }
                               1459                 :     }
                               1460                 : 
                               1461                 :     /* Return results to caller. */
                               1462           16078 :     *first_page = fpm_pointer_to_page(base, victim);
                               1463           16078 :     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            5600 : FreePageManagerPutInternal(FreePageManager *fpm, Size first_page, Size npages,
                               1477                 :                            bool soft)
                               1478                 : {
                               1479            5600 :     char       *base = fpm_segment_base(fpm);
                               1480                 :     FreePageBtreeSearchResult result;
                               1481            5600 :     FreePageBtreeLeafKey *prevkey = NULL;
                               1482            5600 :     FreePageBtreeLeafKey *nextkey = NULL;
                               1483                 :     FreePageBtree *np;
                               1484                 :     Size        nindex;
                               1485                 : 
                               1486            5600 :     Assert(npages > 0);
                               1487                 : 
                               1488                 :     /* We can store a single free span without initializing the btree. */
                               1489            5600 :     if (fpm->btree_depth == 0)
                               1490                 :     {
                               1491            4094 :         if (fpm->singleton_npages == 0)
                               1492                 :         {
                               1493                 :             /* Don't have a span yet; store this one. */
                               1494            3234 :             fpm->singleton_first_page = first_page;
                               1495            3234 :             fpm->singleton_npages = npages;
                               1496            3234 :             FreePagePushSpanLeader(fpm, first_page, npages);
                               1497            3234 :             return fpm->singleton_npages;
                               1498                 :         }
                               1499             860 :         else if (fpm->singleton_first_page + fpm->singleton_npages ==
                               1500                 :                  first_page)
                               1501                 :         {
                               1502                 :             /* New span immediately follows sole existing span. */
                               1503               5 :             fpm->singleton_npages += npages;
                               1504               5 :             FreePagePopSpanLeader(fpm, fpm->singleton_first_page);
                               1505               5 :             FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
                               1506                 :                                    fpm->singleton_npages);
                               1507               5 :             return fpm->singleton_npages;
                               1508                 :         }
                               1509             855 :         else if (first_page + npages == fpm->singleton_first_page)
                               1510                 :         {
                               1511                 :             /* New span immediately precedes sole existing span. */
                               1512             560 :             FreePagePopSpanLeader(fpm, fpm->singleton_first_page);
                               1513             560 :             fpm->singleton_first_page = first_page;
                               1514             560 :             fpm->singleton_npages += npages;
                               1515             560 :             FreePagePushSpanLeader(fpm, fpm->singleton_first_page,
                               1516                 :                                    fpm->singleton_npages);
                               1517             560 :             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             295 :             if (!relptr_is_null(fpm->btree_recycle))
                               1526              62 :                 root = FreePageBtreeGetRecycled(fpm);
 1516 tmunro                   1527             233 :             else if (soft)
                               1528             108 :                 return 0;       /* Should not allocate if soft. */
 2319 rhaas                    1529             140 :             else if (FreePageManagerGetInternal(fpm, 1, &root_page))
                               1530             140 :                 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. */
 2319 rhaas                    1534 UBC           0 :                 elog(FATAL, "free page manager btree is corrupt");
                               1535                 :             }
                               1536                 : 
                               1537                 :             /* Create the btree and move the preexisting range into it. */
 2319 rhaas                    1538 CBC         202 :             root->hdr.magic = FREE_PAGE_LEAF_MAGIC;
                               1539             202 :             root->hdr.nused = 1;
                               1540             202 :             relptr_store(base, root->hdr.parent, (FreePageBtree *) NULL);
                               1541             202 :             root->u.leaf_key[0].first_page = fpm->singleton_first_page;
                               1542             202 :             root->u.leaf_key[0].npages = fpm->singleton_npages;
                               1543             202 :             relptr_store(base, fpm->btree_root, root);
                               1544             202 :             fpm->singleton_first_page = 0;
                               1545             202 :             fpm->singleton_npages = 0;
                               1546             202 :             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             202 :             if (root->u.leaf_key[0].npages == 0)
                               1555                 :             {
                               1556              15 :                 root->u.leaf_key[0].first_page = first_page;
                               1557              15 :                 root->u.leaf_key[0].npages = npages;
                               1558              15 :                 FreePagePushSpanLeader(fpm, first_page, npages);
                               1559              15 :                 return npages;
                               1560                 :             }
                               1561                 : 
                               1562                 :             /* Fall through to insert the new key. */
                               1563                 :         }
                               1564                 :     }
                               1565                 : 
                               1566                 :     /* Search the btree. */
                               1567            1693 :     FreePageBtreeSearch(fpm, first_page, &result);
                               1568            1693 :     Assert(!result.found);
                               1569            1693 :     if (result.index > 0)
                               1570            1060 :         prevkey = &result.page->u.leaf_key[result.index - 1];
                               1571            1693 :     if (result.index < result.page->hdr.nused)
                               1572                 :     {
                               1573            1688 :         np = result.page;
                               1574            1688 :         nindex = result.index;
                               1575            1688 :         nextkey = &result.page->u.leaf_key[result.index];
                               1576                 :     }
                               1577                 :     else
                               1578                 :     {
                               1579               5 :         np = FreePageBtreeFindRightSibling(base, result.page);
                               1580               5 :         nindex = 0;
                               1581               5 :         if (np != NULL)
 2319 rhaas                    1582 UBC           0 :             nextkey = &np->u.leaf_key[0];
                               1583                 :     }
                               1584                 : 
                               1585                 :     /* Consolidate with the previous entry if possible. */
 2319 rhaas                    1586 CBC        1693 :     if (prevkey != NULL && prevkey->first_page + prevkey->npages >= first_page)
                               1587                 :     {
                               1588             259 :         bool        remove_next = false;
                               1589                 :         Size        result;
                               1590                 : 
                               1591             259 :         Assert(prevkey->first_page + prevkey->npages == first_page);
                               1592             259 :         prevkey->npages = (first_page - prevkey->first_page) + npages;
                               1593                 : 
                               1594                 :         /* Check whether we can *also* consolidate with the following entry. */
                               1595             259 :         if (nextkey != NULL &&
                               1596             254 :             prevkey->first_page + prevkey->npages >= nextkey->first_page)
                               1597                 :         {
                               1598             133 :             Assert(prevkey->first_page + prevkey->npages ==
                               1599                 :                    nextkey->first_page);
                               1600             133 :             prevkey->npages = (nextkey->first_page - prevkey->first_page)
                               1601             133 :                 + nextkey->npages;
                               1602             133 :             FreePagePopSpanLeader(fpm, nextkey->first_page);
                               1603             133 :             remove_next = true;
                               1604                 :         }
                               1605                 : 
                               1606                 :         /* Put the span on the correct freelist and save size. */
                               1607             259 :         FreePagePopSpanLeader(fpm, prevkey->first_page);
                               1608             259 :         FreePagePushSpanLeader(fpm, prevkey->first_page, prevkey->npages);
                               1609             259 :         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             259 :         if (remove_next)
                               1622             133 :             FreePageBtreeRemove(fpm, np, nindex);
                               1623                 : 
                               1624             259 :         return result;
                               1625                 :     }
                               1626                 : 
                               1627                 :     /* Consolidate with the next entry if possible. */
                               1628            1434 :     if (nextkey != NULL && first_page + npages >= nextkey->first_page)
                               1629                 :     {
                               1630                 :         Size        newpages;
                               1631                 : 
                               1632                 :         /* Compute new size for span. */
                               1633             830 :         Assert(first_page + npages == nextkey->first_page);
                               1634             830 :         newpages = (nextkey->first_page - first_page) + nextkey->npages;
                               1635                 : 
                               1636                 :         /* Put span on correct free list. */
                               1637             830 :         FreePagePopSpanLeader(fpm, nextkey->first_page);
                               1638             830 :         FreePagePushSpanLeader(fpm, first_page, newpages);
                               1639                 : 
                               1640                 :         /* Update key in place. */
                               1641             830 :         nextkey->first_page = first_page;
                               1642             830 :         nextkey->npages = newpages;
                               1643                 : 
                               1644                 :         /* If reducing first key on page, ancestors might need adjustment. */
                               1645             830 :         if (nindex == 0)
                               1646             304 :             FreePageBtreeAdjustAncestorKeys(fpm, np);
                               1647                 : 
                               1648             830 :         return nextkey->npages;
                               1649                 :     }
                               1650                 : 
                               1651                 :     /* Split leaf page and as many of its ancestors as necessary. */
                               1652             604 :     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. */
 2319 rhaas                    1666 UBC           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               0 :             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. */
 2319 rhaas                    1825 CBC         604 :     Assert(result.page->hdr.nused < FPM_ITEMS_PER_LEAF_PAGE);
                               1826             604 :     FreePageBtreeInsertLeaf(result.page, result.index, first_page, npages);
                               1827                 : 
                               1828                 :     /* If new first key on page, ancestors might need adjustment. */
                               1829             604 :     if (result.index == 0)
                               1830             329 :         FreePageBtreeAdjustAncestorKeys(fpm, result.page);
                               1831                 : 
                               1832                 :     /* Put it on the free list. */
                               1833             604 :     FreePagePushSpanLeader(fpm, first_page, npages);
                               1834                 : 
                               1835             604 :     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            1903 : FreePagePopSpanLeader(FreePageManager *fpm, Size pageno)
                               1844                 : {
                               1845            1903 :     char       *base = fpm_segment_base(fpm);
                               1846                 :     FreePageSpanLeader *span;
                               1847                 :     FreePageSpanLeader *next;
                               1848                 :     FreePageSpanLeader *prev;
                               1849                 : 
                               1850            1903 :     span = (FreePageSpanLeader *) fpm_page_to_pointer(base, pageno);
                               1851                 : 
                               1852            1903 :     next = relptr_access(base, span->next);
                               1853            1903 :     prev = relptr_access(base, span->prev);
                               1854            1903 :     if (next != NULL)
                               1855             121 :         relptr_copy(next->prev, span->prev);
                               1856            1903 :     if (prev != NULL)
                               1857              41 :         relptr_copy(prev->next, span->next);
                               1858                 :     else
                               1859                 :     {
                               1860            1862 :         Size        f = Min(span->npages, FPM_NUM_FREELISTS) - 1;
                               1861                 : 
  286 tmunro                   1862            1862 :         Assert(relptr_offset(fpm->freelist[f]) == pageno * FPM_PAGE_SIZE);
 2319 rhaas                    1863            1862 :         relptr_copy(fpm->freelist[f], span->next);
                               1864                 :     }
                               1865            1903 : }
                               1866                 : 
                               1867                 : /*
                               1868                 :  * Initialize a new FreePageSpanLeader and put it on the appropriate free list.
                               1869                 :  */
                               1870                 : static void
                               1871           21263 : FreePagePushSpanLeader(FreePageManager *fpm, Size first_page, Size npages)
                               1872                 : {
                               1873           21263 :     char       *base = fpm_segment_base(fpm);
                               1874           21263 :     Size        f = Min(npages, FPM_NUM_FREELISTS) - 1;
                               1875           21263 :     FreePageSpanLeader *head = relptr_access(base, fpm->freelist[f]);
                               1876                 :     FreePageSpanLeader *span;
                               1877                 : 
                               1878           21263 :     span = (FreePageSpanLeader *) fpm_page_to_pointer(base, first_page);
                               1879           21263 :     span->magic = FREE_PAGE_SPAN_LEADER_MAGIC;
                               1880           21263 :     span->npages = npages;
                               1881           21263 :     relptr_store(base, span->next, head);
                               1882           21263 :     relptr_store(base, span->prev, (FreePageSpanLeader *) NULL);
                               1883           21263 :     if (head != NULL)
                               1884             265 :         relptr_store(base, head->prev, span);
                               1885           21263 :     relptr_store(base, fpm->freelist[f], span);
                               1886           21263 : }
        

Generated by: LCOV version v1.16-55-g56c0a2a