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Improve some of the comments in fsmpage.c.
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@ -8,15 +8,15 @@
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* Portions Copyright (c) 1994, Regents of the University of California
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*
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* IDENTIFICATION
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* $PostgreSQL: pgsql/src/backend/storage/freespace/fsmpage.c,v 1.1 2008/09/30 10:52:13 heikki Exp $
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* $PostgreSQL: pgsql/src/backend/storage/freespace/fsmpage.c,v 1.2 2008/10/07 21:10:11 tgl Exp $
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*
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* NOTES:
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*
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* The public functions in this file form an API that hides the internal
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* structure of a FSM page. This allows freespace.c to treat each FSM page
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* as a black box with SlotsPerPage "slots". fsm_set_avail() and
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* fsm_get_avail() let's you get/set the value of a slot, and
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* fsm_search_avail() let's you search for a slot with value >= X.
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* fsm_get_avail() let you get/set the value of a slot, and
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* fsm_search_avail() lets you search for a slot with value >= X.
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*
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*-------------------------------------------------------------------------
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*/
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@ -25,14 +25,16 @@
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#include "storage/bufmgr.h"
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#include "storage/fsm_internals.h"
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/* macros to navigate the tree within a page. */
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/* Macros to navigate the tree within a page. Root has index zero. */
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#define leftchild(x) (2 * (x) + 1)
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#define rightchild(x) (2 * (x) + 2)
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#define parentof(x) (((x) - 1) / 2)
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/* returns right sibling of x, wrapping around within the level */
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/*
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* Find right neighbor of x, wrapping around within the level
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*/
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static int
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rightsibling(int x)
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rightneighbor(int x)
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{
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/*
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* Move right. This might wrap around, stepping to the leftmost node at
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@ -42,8 +44,9 @@ rightsibling(int x)
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/*
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* Check if we stepped to the leftmost node at next level, and correct
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* if so. The leftmost nodes at each level are of form x = 2^level - 1, so
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* check if (x + 1) is a power of two.
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* if so. The leftmost nodes at each level are numbered x = 2^level - 1,
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* so check if (x + 1) is a power of two, using a standard
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* twos-complement-arithmetic trick.
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*/
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if (((x + 1) & x) == 0)
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x = parentof(x);
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@ -52,8 +55,7 @@ rightsibling(int x)
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}
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/*
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* Sets the value of a slot on page. Returns true if the page was
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* modified.
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* Sets the value of a slot on page. Returns true if the page was modified.
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*
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* The caller must hold an exclusive lock on the page.
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*/
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@ -101,8 +103,8 @@ fsm_set_avail(Page page, int slot, uint8 value)
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} while (nodeno > 0);
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/*
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* sanity check: if the new value value is higher than the value
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* at the top, the tree is corrupt.
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* sanity check: if the new value is (still) higher than the value
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* at the top, the tree is corrupt. If so, rebuild.
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*/
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if (value > fsmpage->fp_nodes[0])
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fsm_rebuild_page(page);
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@ -121,11 +123,14 @@ fsm_get_avail(Page page, int slot)
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{
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FSMPage fsmpage = (FSMPage) PageGetContents(page);
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Assert(slot < LeafNodesPerPage);
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return fsmpage->fp_nodes[NonLeafNodesPerPage + slot];
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}
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/*
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* Returns the value at the root of a page.
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*
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* Since this is just a read-only access of a single byte, the page doesn't
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* need to be locked.
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*/
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@ -133,12 +138,13 @@ uint8
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fsm_get_max_avail(Page page)
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{
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FSMPage fsmpage = (FSMPage) PageGetContents(page);
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return fsmpage->fp_nodes[0];
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}
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/*
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* Searches for a slot with min. category. Returns slot number, or -1 if
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* none found.
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* Searches for a slot with category at least minvalue.
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* Returns slot number, or -1 if none found.
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*
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* The caller must hold at least a shared lock on the page, and this
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* function can unlock and lock the page again in exclusive mode if it
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@ -146,7 +152,7 @@ fsm_get_max_avail(Page page)
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* caller is already holding an exclusive lock, to avoid extra work.
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*
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* If advancenext is false, fp_next_slot is set to point to the returned
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* slot, and if it's true, to the slot next to the returned slot.
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* slot, and if it's true, to the slot after the returned slot.
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*/
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int
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fsm_search_avail(Buffer buf, uint8 minvalue, bool advancenext,
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@ -160,33 +166,44 @@ fsm_search_avail(Buffer buf, uint8 minvalue, bool advancenext,
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restart:
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/*
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* Check the root first, and exit quickly if there's no page with
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* Check the root first, and exit quickly if there's no leaf with
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* enough free space
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*/
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if (fsmpage->fp_nodes[0] < minvalue)
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return -1;
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/* fp_next_slot is just a hint, so check that it's sane */
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/*
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* Start search using fp_next_slot. It's just a hint, so check that it's
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* sane. (This also handles wrapping around when the prior call returned
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* the last slot on the page.)
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*/
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target = fsmpage->fp_next_slot;
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if (target < 0 || target >= LeafNodesPerPage)
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target = 0;
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target += NonLeafNodesPerPage;
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/*
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* Start the search from the target slot. At every step, move one
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* node to the right, and climb up to the parent. Stop when we reach a
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* node with enough free space. (note that moving to the right only
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* makes a difference if we're on the right child of the parent)
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/*----------
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* Start the search from the target slot. At every step, move one
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* node to the right, then climb up to the parent. Stop when we reach
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* a node with enough free space (as we must, since the root has enough
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* space).
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*
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* The idea is to graduall expand our "search triangle", that is, all
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* nodes covered by the current node. In the beginning, just the target
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* node is included, and more nodes to the right of the target node,
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* taking wrap-around into account, is included at each step. Nodes are
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* added to the search triangle in left-to-right order, starting from
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* the target node. This ensures that we'll find the first suitable node
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* to the right of the target node, and not some other node with enough
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* free space.
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* The idea is to gradually expand our "search triangle", that is, all
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* nodes covered by the current node, and to be sure we search to the
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* right from the start point. At the first step, only the target slot
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* is examined. When we move up from a left child to its parent, we are
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* adding the right-hand subtree of that parent to the search triangle.
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* When we move right then up from a right child, we are dropping the
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* current search triangle (which we know doesn't contain any suitable
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* page) and instead looking at the next-larger-size triangle to its
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* right. So we never look left from our original start point, and at
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* each step the size of the search triangle doubles, ensuring it takes
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* only log2(N) work to search N pages.
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*
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* The "move right" operation will wrap around if it hits the right edge
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* of the tree, so the behavior is still good if we start near the right.
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* Note also that the move-and-climb behavior ensures that we can't end
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* up on one of the missing nodes at the right of the leaf level.
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*
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* For example, consider this tree:
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*
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@ -196,25 +213,27 @@ fsm_search_avail(Buffer buf, uint8 minvalue, bool advancenext,
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* 4 5 5 7 2 6 5 2
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* T
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*
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* Imagine that target node is the node indicated by the letter T, and
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* we're searching for a node with value of 6 or higher. The search
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* begins at T. At first iteration, we move to the right, and to the
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* parent, arriving the rightmost 5. At the 2nd iteration, we move to the
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* right, wrapping around, and climb up, arriving at the 7 at the 2nd
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* level. 7 satisfies our search, so we descend down to the bottom,
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* following the path of sevens.
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* Assume that the target node is the node indicated by the letter T,
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* and we're searching for a node with value of 6 or higher. The search
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* begins at T. At the first iteration, we move to the right, then to the
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* parent, arriving at the rightmost 5. At the second iteration, we move
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* to the right, wrapping around, then climb up, arriving at the 7 on the
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* third level. 7 satisfies our search, so we descend down to the bottom,
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* following the path of sevens. This is in fact the first suitable page
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* to the right of (allowing for wraparound) our start point.
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*----------
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*/
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nodeno = target;
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while (nodeno > 0)
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{
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if (fsmpage->fp_nodes[nodeno] >= minvalue)
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break;
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/*
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* Move to the right, wrapping around at the level if necessary, and
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* climb up.
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* Move to the right, wrapping around on same level if necessary,
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* then climb up.
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*/
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nodeno = parentof(rightsibling(nodeno));
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nodeno = parentof(rightneighbor(nodeno));
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}
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/*
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@ -271,10 +290,10 @@ fsm_search_avail(Buffer buf, uint8 minvalue, bool advancenext,
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slot = nodeno - NonLeafNodesPerPage;
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/*
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* Update the next slot pointer. Note that we do this even if we're only
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* Update the next-target pointer. Note that we do this even if we're only
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* holding a shared lock, on the grounds that it's better to use a shared
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* lock and get a garbled next pointer every now and then, than take the
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* concurrency hit of an exlusive lock.
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* concurrency hit of an exclusive lock.
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*
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* Wrap-around is handled at the beginning of this function.
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*/
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@ -324,7 +343,7 @@ fsm_rebuild_page(Page page)
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int nodeno;
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/*
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* Start from the lowest non-leaflevel, at last node, working our way
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* Start from the lowest non-leaf level, at last node, working our way
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* backwards, through all non-leaf nodes at all levels, up to the root.
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*/
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for (nodeno = NonLeafNodesPerPage - 1; nodeno >= 0; nodeno--)
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@ -333,6 +352,7 @@ fsm_rebuild_page(Page page)
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int rchild = lchild + 1;
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uint8 newvalue = 0;
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/* The first few nodes we examine might have zero or one child. */
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if (lchild < NodesPerPage)
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newvalue = fsmpage->fp_nodes[lchild];
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@ -349,4 +369,3 @@ fsm_rebuild_page(Page page)
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return changed;
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}
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