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Unified Diff: third_party/sqlite/sqlite-src-3080704/ext/rtree/rtree.c

Issue 949043002: Add //third_party/sqlite to dirs_to_snapshot, remove net_sql.patch (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: Created 5 years, 10 months ago
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Index: third_party/sqlite/sqlite-src-3080704/ext/rtree/rtree.c
diff --git a/third_party/sqlite/sqlite-src-3080704/ext/rtree/rtree.c b/third_party/sqlite/sqlite-src-3080704/ext/rtree/rtree.c
new file mode 100644
index 0000000000000000000000000000000000000000..8150538d452d1b31ebc91b54b5fcb3e6dad8f3aa
--- /dev/null
+++ b/third_party/sqlite/sqlite-src-3080704/ext/rtree/rtree.c
@@ -0,0 +1,3468 @@
+/*
+** 2001 September 15
+**
+** The author disclaims copyright to this source code. In place of
+** a legal notice, here is a blessing:
+**
+** May you do good and not evil.
+** May you find forgiveness for yourself and forgive others.
+** May you share freely, never taking more than you give.
+**
+*************************************************************************
+** This file contains code for implementations of the r-tree and r*-tree
+** algorithms packaged as an SQLite virtual table module.
+*/
+
+/*
+** Database Format of R-Tree Tables
+** --------------------------------
+**
+** The data structure for a single virtual r-tree table is stored in three
+** native SQLite tables declared as follows. In each case, the '%' character
+** in the table name is replaced with the user-supplied name of the r-tree
+** table.
+**
+** CREATE TABLE %_node(nodeno INTEGER PRIMARY KEY, data BLOB)
+** CREATE TABLE %_parent(nodeno INTEGER PRIMARY KEY, parentnode INTEGER)
+** CREATE TABLE %_rowid(rowid INTEGER PRIMARY KEY, nodeno INTEGER)
+**
+** The data for each node of the r-tree structure is stored in the %_node
+** table. For each node that is not the root node of the r-tree, there is
+** an entry in the %_parent table associating the node with its parent.
+** And for each row of data in the table, there is an entry in the %_rowid
+** table that maps from the entries rowid to the id of the node that it
+** is stored on.
+**
+** The root node of an r-tree always exists, even if the r-tree table is
+** empty. The nodeno of the root node is always 1. All other nodes in the
+** table must be the same size as the root node. The content of each node
+** is formatted as follows:
+**
+** 1. If the node is the root node (node 1), then the first 2 bytes
+** of the node contain the tree depth as a big-endian integer.
+** For non-root nodes, the first 2 bytes are left unused.
+**
+** 2. The next 2 bytes contain the number of entries currently
+** stored in the node.
+**
+** 3. The remainder of the node contains the node entries. Each entry
+** consists of a single 8-byte integer followed by an even number
+** of 4-byte coordinates. For leaf nodes the integer is the rowid
+** of a record. For internal nodes it is the node number of a
+** child page.
+*/
+
+#if !defined(SQLITE_CORE) || defined(SQLITE_ENABLE_RTREE)
+
+#ifndef SQLITE_CORE
+ #include "sqlite3ext.h"
+ SQLITE_EXTENSION_INIT1
+#else
+ #include "sqlite3.h"
+#endif
+
+#include <string.h>
+#include <assert.h>
+#include <stdio.h>
+
+#ifndef SQLITE_AMALGAMATION
+#include "sqlite3rtree.h"
+typedef sqlite3_int64 i64;
+typedef unsigned char u8;
+typedef unsigned short u16;
+typedef unsigned int u32;
+#endif
+
+/* The following macro is used to suppress compiler warnings.
+*/
+#ifndef UNUSED_PARAMETER
+# define UNUSED_PARAMETER(x) (void)(x)
+#endif
+
+typedef struct Rtree Rtree;
+typedef struct RtreeCursor RtreeCursor;
+typedef struct RtreeNode RtreeNode;
+typedef struct RtreeCell RtreeCell;
+typedef struct RtreeConstraint RtreeConstraint;
+typedef struct RtreeMatchArg RtreeMatchArg;
+typedef struct RtreeGeomCallback RtreeGeomCallback;
+typedef union RtreeCoord RtreeCoord;
+typedef struct RtreeSearchPoint RtreeSearchPoint;
+
+/* The rtree may have between 1 and RTREE_MAX_DIMENSIONS dimensions. */
+#define RTREE_MAX_DIMENSIONS 5
+
+/* Size of hash table Rtree.aHash. This hash table is not expected to
+** ever contain very many entries, so a fixed number of buckets is
+** used.
+*/
+#define HASHSIZE 97
+
+/* The xBestIndex method of this virtual table requires an estimate of
+** the number of rows in the virtual table to calculate the costs of
+** various strategies. If possible, this estimate is loaded from the
+** sqlite_stat1 table (with RTREE_MIN_ROWEST as a hard-coded minimum).
+** Otherwise, if no sqlite_stat1 entry is available, use
+** RTREE_DEFAULT_ROWEST.
+*/
+#define RTREE_DEFAULT_ROWEST 1048576
+#define RTREE_MIN_ROWEST 100
+
+/*
+** An rtree virtual-table object.
+*/
+struct Rtree {
+ sqlite3_vtab base; /* Base class. Must be first */
+ sqlite3 *db; /* Host database connection */
+ int iNodeSize; /* Size in bytes of each node in the node table */
+ u8 nDim; /* Number of dimensions */
+ u8 eCoordType; /* RTREE_COORD_REAL32 or RTREE_COORD_INT32 */
+ u8 nBytesPerCell; /* Bytes consumed per cell */
+ int iDepth; /* Current depth of the r-tree structure */
+ char *zDb; /* Name of database containing r-tree table */
+ char *zName; /* Name of r-tree table */
+ int nBusy; /* Current number of users of this structure */
+ i64 nRowEst; /* Estimated number of rows in this table */
+
+ /* List of nodes removed during a CondenseTree operation. List is
+ ** linked together via the pointer normally used for hash chains -
+ ** RtreeNode.pNext. RtreeNode.iNode stores the depth of the sub-tree
+ ** headed by the node (leaf nodes have RtreeNode.iNode==0).
+ */
+ RtreeNode *pDeleted;
+ int iReinsertHeight; /* Height of sub-trees Reinsert() has run on */
+
+ /* Statements to read/write/delete a record from xxx_node */
+ sqlite3_stmt *pReadNode;
+ sqlite3_stmt *pWriteNode;
+ sqlite3_stmt *pDeleteNode;
+
+ /* Statements to read/write/delete a record from xxx_rowid */
+ sqlite3_stmt *pReadRowid;
+ sqlite3_stmt *pWriteRowid;
+ sqlite3_stmt *pDeleteRowid;
+
+ /* Statements to read/write/delete a record from xxx_parent */
+ sqlite3_stmt *pReadParent;
+ sqlite3_stmt *pWriteParent;
+ sqlite3_stmt *pDeleteParent;
+
+ RtreeNode *aHash[HASHSIZE]; /* Hash table of in-memory nodes. */
+};
+
+/* Possible values for Rtree.eCoordType: */
+#define RTREE_COORD_REAL32 0
+#define RTREE_COORD_INT32 1
+
+/*
+** If SQLITE_RTREE_INT_ONLY is defined, then this virtual table will
+** only deal with integer coordinates. No floating point operations
+** will be done.
+*/
+#ifdef SQLITE_RTREE_INT_ONLY
+ typedef sqlite3_int64 RtreeDValue; /* High accuracy coordinate */
+ typedef int RtreeValue; /* Low accuracy coordinate */
+# define RTREE_ZERO 0
+#else
+ typedef double RtreeDValue; /* High accuracy coordinate */
+ typedef float RtreeValue; /* Low accuracy coordinate */
+# define RTREE_ZERO 0.0
+#endif
+
+/*
+** When doing a search of an r-tree, instances of the following structure
+** record intermediate results from the tree walk.
+**
+** The id is always a node-id. For iLevel>=1 the id is the node-id of
+** the node that the RtreeSearchPoint represents. When iLevel==0, however,
+** the id is of the parent node and the cell that RtreeSearchPoint
+** represents is the iCell-th entry in the parent node.
+*/
+struct RtreeSearchPoint {
+ RtreeDValue rScore; /* The score for this node. Smallest goes first. */
+ sqlite3_int64 id; /* Node ID */
+ u8 iLevel; /* 0=entries. 1=leaf node. 2+ for higher */
+ u8 eWithin; /* PARTLY_WITHIN or FULLY_WITHIN */
+ u8 iCell; /* Cell index within the node */
+};
+
+/*
+** The minimum number of cells allowed for a node is a third of the
+** maximum. In Gutman's notation:
+**
+** m = M/3
+**
+** If an R*-tree "Reinsert" operation is required, the same number of
+** cells are removed from the overfull node and reinserted into the tree.
+*/
+#define RTREE_MINCELLS(p) ((((p)->iNodeSize-4)/(p)->nBytesPerCell)/3)
+#define RTREE_REINSERT(p) RTREE_MINCELLS(p)
+#define RTREE_MAXCELLS 51
+
+/*
+** The smallest possible node-size is (512-64)==448 bytes. And the largest
+** supported cell size is 48 bytes (8 byte rowid + ten 4 byte coordinates).
+** Therefore all non-root nodes must contain at least 3 entries. Since
+** 2^40 is greater than 2^64, an r-tree structure always has a depth of
+** 40 or less.
+*/
+#define RTREE_MAX_DEPTH 40
+
+
+/*
+** Number of entries in the cursor RtreeNode cache. The first entry is
+** used to cache the RtreeNode for RtreeCursor.sPoint. The remaining
+** entries cache the RtreeNode for the first elements of the priority queue.
+*/
+#define RTREE_CACHE_SZ 5
+
+/*
+** An rtree cursor object.
+*/
+struct RtreeCursor {
+ sqlite3_vtab_cursor base; /* Base class. Must be first */
+ u8 atEOF; /* True if at end of search */
+ u8 bPoint; /* True if sPoint is valid */
+ int iStrategy; /* Copy of idxNum search parameter */
+ int nConstraint; /* Number of entries in aConstraint */
+ RtreeConstraint *aConstraint; /* Search constraints. */
+ int nPointAlloc; /* Number of slots allocated for aPoint[] */
+ int nPoint; /* Number of slots used in aPoint[] */
+ int mxLevel; /* iLevel value for root of the tree */
+ RtreeSearchPoint *aPoint; /* Priority queue for search points */
+ RtreeSearchPoint sPoint; /* Cached next search point */
+ RtreeNode *aNode[RTREE_CACHE_SZ]; /* Rtree node cache */
+ u32 anQueue[RTREE_MAX_DEPTH+1]; /* Number of queued entries by iLevel */
+};
+
+/* Return the Rtree of a RtreeCursor */
+#define RTREE_OF_CURSOR(X) ((Rtree*)((X)->base.pVtab))
+
+/*
+** A coordinate can be either a floating point number or a integer. All
+** coordinates within a single R-Tree are always of the same time.
+*/
+union RtreeCoord {
+ RtreeValue f; /* Floating point value */
+ int i; /* Integer value */
+ u32 u; /* Unsigned for byte-order conversions */
+};
+
+/*
+** The argument is an RtreeCoord. Return the value stored within the RtreeCoord
+** formatted as a RtreeDValue (double or int64). This macro assumes that local
+** variable pRtree points to the Rtree structure associated with the
+** RtreeCoord.
+*/
+#ifdef SQLITE_RTREE_INT_ONLY
+# define DCOORD(coord) ((RtreeDValue)coord.i)
+#else
+# define DCOORD(coord) ( \
+ (pRtree->eCoordType==RTREE_COORD_REAL32) ? \
+ ((double)coord.f) : \
+ ((double)coord.i) \
+ )
+#endif
+
+/*
+** A search constraint.
+*/
+struct RtreeConstraint {
+ int iCoord; /* Index of constrained coordinate */
+ int op; /* Constraining operation */
+ union {
+ RtreeDValue rValue; /* Constraint value. */
+ int (*xGeom)(sqlite3_rtree_geometry*,int,RtreeDValue*,int*);
+ int (*xQueryFunc)(sqlite3_rtree_query_info*);
+ } u;
+ sqlite3_rtree_query_info *pInfo; /* xGeom and xQueryFunc argument */
+};
+
+/* Possible values for RtreeConstraint.op */
+#define RTREE_EQ 0x41 /* A */
+#define RTREE_LE 0x42 /* B */
+#define RTREE_LT 0x43 /* C */
+#define RTREE_GE 0x44 /* D */
+#define RTREE_GT 0x45 /* E */
+#define RTREE_MATCH 0x46 /* F: Old-style sqlite3_rtree_geometry_callback() */
+#define RTREE_QUERY 0x47 /* G: New-style sqlite3_rtree_query_callback() */
+
+
+/*
+** An rtree structure node.
+*/
+struct RtreeNode {
+ RtreeNode *pParent; /* Parent node */
+ i64 iNode; /* The node number */
+ int nRef; /* Number of references to this node */
+ int isDirty; /* True if the node needs to be written to disk */
+ u8 *zData; /* Content of the node, as should be on disk */
+ RtreeNode *pNext; /* Next node in this hash collision chain */
+};
+
+/* Return the number of cells in a node */
+#define NCELL(pNode) readInt16(&(pNode)->zData[2])
+
+/*
+** A single cell from a node, deserialized
+*/
+struct RtreeCell {
+ i64 iRowid; /* Node or entry ID */
+ RtreeCoord aCoord[RTREE_MAX_DIMENSIONS*2]; /* Bounding box coordinates */
+};
+
+
+/*
+** This object becomes the sqlite3_user_data() for the SQL functions
+** that are created by sqlite3_rtree_geometry_callback() and
+** sqlite3_rtree_query_callback() and which appear on the right of MATCH
+** operators in order to constrain a search.
+**
+** xGeom and xQueryFunc are the callback functions. Exactly one of
+** xGeom and xQueryFunc fields is non-NULL, depending on whether the
+** SQL function was created using sqlite3_rtree_geometry_callback() or
+** sqlite3_rtree_query_callback().
+**
+** This object is deleted automatically by the destructor mechanism in
+** sqlite3_create_function_v2().
+*/
+struct RtreeGeomCallback {
+ int (*xGeom)(sqlite3_rtree_geometry*, int, RtreeDValue*, int*);
+ int (*xQueryFunc)(sqlite3_rtree_query_info*);
+ void (*xDestructor)(void*);
+ void *pContext;
+};
+
+
+/*
+** Value for the first field of every RtreeMatchArg object. The MATCH
+** operator tests that the first field of a blob operand matches this
+** value to avoid operating on invalid blobs (which could cause a segfault).
+*/
+#define RTREE_GEOMETRY_MAGIC 0x891245AB
+
+/*
+** An instance of this structure (in the form of a BLOB) is returned by
+** the SQL functions that sqlite3_rtree_geometry_callback() and
+** sqlite3_rtree_query_callback() create, and is read as the right-hand
+** operand to the MATCH operator of an R-Tree.
+*/
+struct RtreeMatchArg {
+ u32 magic; /* Always RTREE_GEOMETRY_MAGIC */
+ RtreeGeomCallback cb; /* Info about the callback functions */
+ int nParam; /* Number of parameters to the SQL function */
+ RtreeDValue aParam[1]; /* Values for parameters to the SQL function */
+};
+
+#ifndef MAX
+# define MAX(x,y) ((x) < (y) ? (y) : (x))
+#endif
+#ifndef MIN
+# define MIN(x,y) ((x) > (y) ? (y) : (x))
+#endif
+
+/*
+** Functions to deserialize a 16 bit integer, 32 bit real number and
+** 64 bit integer. The deserialized value is returned.
+*/
+static int readInt16(u8 *p){
+ return (p[0]<<8) + p[1];
+}
+static void readCoord(u8 *p, RtreeCoord *pCoord){
+ u32 i = (
+ (((u32)p[0]) << 24) +
+ (((u32)p[1]) << 16) +
+ (((u32)p[2]) << 8) +
+ (((u32)p[3]) << 0)
+ );
+ *(u32 *)pCoord = i;
+}
+static i64 readInt64(u8 *p){
+ return (
+ (((i64)p[0]) << 56) +
+ (((i64)p[1]) << 48) +
+ (((i64)p[2]) << 40) +
+ (((i64)p[3]) << 32) +
+ (((i64)p[4]) << 24) +
+ (((i64)p[5]) << 16) +
+ (((i64)p[6]) << 8) +
+ (((i64)p[7]) << 0)
+ );
+}
+
+/*
+** Functions to serialize a 16 bit integer, 32 bit real number and
+** 64 bit integer. The value returned is the number of bytes written
+** to the argument buffer (always 2, 4 and 8 respectively).
+*/
+static int writeInt16(u8 *p, int i){
+ p[0] = (i>> 8)&0xFF;
+ p[1] = (i>> 0)&0xFF;
+ return 2;
+}
+static int writeCoord(u8 *p, RtreeCoord *pCoord){
+ u32 i;
+ assert( sizeof(RtreeCoord)==4 );
+ assert( sizeof(u32)==4 );
+ i = *(u32 *)pCoord;
+ p[0] = (i>>24)&0xFF;
+ p[1] = (i>>16)&0xFF;
+ p[2] = (i>> 8)&0xFF;
+ p[3] = (i>> 0)&0xFF;
+ return 4;
+}
+static int writeInt64(u8 *p, i64 i){
+ p[0] = (i>>56)&0xFF;
+ p[1] = (i>>48)&0xFF;
+ p[2] = (i>>40)&0xFF;
+ p[3] = (i>>32)&0xFF;
+ p[4] = (i>>24)&0xFF;
+ p[5] = (i>>16)&0xFF;
+ p[6] = (i>> 8)&0xFF;
+ p[7] = (i>> 0)&0xFF;
+ return 8;
+}
+
+/*
+** Increment the reference count of node p.
+*/
+static void nodeReference(RtreeNode *p){
+ if( p ){
+ p->nRef++;
+ }
+}
+
+/*
+** Clear the content of node p (set all bytes to 0x00).
+*/
+static void nodeZero(Rtree *pRtree, RtreeNode *p){
+ memset(&p->zData[2], 0, pRtree->iNodeSize-2);
+ p->isDirty = 1;
+}
+
+/*
+** Given a node number iNode, return the corresponding key to use
+** in the Rtree.aHash table.
+*/
+static int nodeHash(i64 iNode){
+ return iNode % HASHSIZE;
+}
+
+/*
+** Search the node hash table for node iNode. If found, return a pointer
+** to it. Otherwise, return 0.
+*/
+static RtreeNode *nodeHashLookup(Rtree *pRtree, i64 iNode){
+ RtreeNode *p;
+ for(p=pRtree->aHash[nodeHash(iNode)]; p && p->iNode!=iNode; p=p->pNext);
+ return p;
+}
+
+/*
+** Add node pNode to the node hash table.
+*/
+static void nodeHashInsert(Rtree *pRtree, RtreeNode *pNode){
+ int iHash;
+ assert( pNode->pNext==0 );
+ iHash = nodeHash(pNode->iNode);
+ pNode->pNext = pRtree->aHash[iHash];
+ pRtree->aHash[iHash] = pNode;
+}
+
+/*
+** Remove node pNode from the node hash table.
+*/
+static void nodeHashDelete(Rtree *pRtree, RtreeNode *pNode){
+ RtreeNode **pp;
+ if( pNode->iNode!=0 ){
+ pp = &pRtree->aHash[nodeHash(pNode->iNode)];
+ for( ; (*pp)!=pNode; pp = &(*pp)->pNext){ assert(*pp); }
+ *pp = pNode->pNext;
+ pNode->pNext = 0;
+ }
+}
+
+/*
+** Allocate and return new r-tree node. Initially, (RtreeNode.iNode==0),
+** indicating that node has not yet been assigned a node number. It is
+** assigned a node number when nodeWrite() is called to write the
+** node contents out to the database.
+*/
+static RtreeNode *nodeNew(Rtree *pRtree, RtreeNode *pParent){
+ RtreeNode *pNode;
+ pNode = (RtreeNode *)sqlite3_malloc(sizeof(RtreeNode) + pRtree->iNodeSize);
+ if( pNode ){
+ memset(pNode, 0, sizeof(RtreeNode) + pRtree->iNodeSize);
+ pNode->zData = (u8 *)&pNode[1];
+ pNode->nRef = 1;
+ pNode->pParent = pParent;
+ pNode->isDirty = 1;
+ nodeReference(pParent);
+ }
+ return pNode;
+}
+
+/*
+** Obtain a reference to an r-tree node.
+*/
+static int nodeAcquire(
+ Rtree *pRtree, /* R-tree structure */
+ i64 iNode, /* Node number to load */
+ RtreeNode *pParent, /* Either the parent node or NULL */
+ RtreeNode **ppNode /* OUT: Acquired node */
+){
+ int rc;
+ int rc2 = SQLITE_OK;
+ RtreeNode *pNode;
+
+ /* Check if the requested node is already in the hash table. If so,
+ ** increase its reference count and return it.
+ */
+ if( (pNode = nodeHashLookup(pRtree, iNode)) ){
+ assert( !pParent || !pNode->pParent || pNode->pParent==pParent );
+ if( pParent && !pNode->pParent ){
+ nodeReference(pParent);
+ pNode->pParent = pParent;
+ }
+ pNode->nRef++;
+ *ppNode = pNode;
+ return SQLITE_OK;
+ }
+
+ sqlite3_bind_int64(pRtree->pReadNode, 1, iNode);
+ rc = sqlite3_step(pRtree->pReadNode);
+ if( rc==SQLITE_ROW ){
+ const u8 *zBlob = sqlite3_column_blob(pRtree->pReadNode, 0);
+ if( pRtree->iNodeSize==sqlite3_column_bytes(pRtree->pReadNode, 0) ){
+ pNode = (RtreeNode *)sqlite3_malloc(sizeof(RtreeNode)+pRtree->iNodeSize);
+ if( !pNode ){
+ rc2 = SQLITE_NOMEM;
+ }else{
+ pNode->pParent = pParent;
+ pNode->zData = (u8 *)&pNode[1];
+ pNode->nRef = 1;
+ pNode->iNode = iNode;
+ pNode->isDirty = 0;
+ pNode->pNext = 0;
+ memcpy(pNode->zData, zBlob, pRtree->iNodeSize);
+ nodeReference(pParent);
+ }
+ }
+ }
+ rc = sqlite3_reset(pRtree->pReadNode);
+ if( rc==SQLITE_OK ) rc = rc2;
+
+ /* If the root node was just loaded, set pRtree->iDepth to the height
+ ** of the r-tree structure. A height of zero means all data is stored on
+ ** the root node. A height of one means the children of the root node
+ ** are the leaves, and so on. If the depth as specified on the root node
+ ** is greater than RTREE_MAX_DEPTH, the r-tree structure must be corrupt.
+ */
+ if( pNode && iNode==1 ){
+ pRtree->iDepth = readInt16(pNode->zData);
+ if( pRtree->iDepth>RTREE_MAX_DEPTH ){
+ rc = SQLITE_CORRUPT_VTAB;
+ }
+ }
+
+ /* If no error has occurred so far, check if the "number of entries"
+ ** field on the node is too large. If so, set the return code to
+ ** SQLITE_CORRUPT_VTAB.
+ */
+ if( pNode && rc==SQLITE_OK ){
+ if( NCELL(pNode)>((pRtree->iNodeSize-4)/pRtree->nBytesPerCell) ){
+ rc = SQLITE_CORRUPT_VTAB;
+ }
+ }
+
+ if( rc==SQLITE_OK ){
+ if( pNode!=0 ){
+ nodeHashInsert(pRtree, pNode);
+ }else{
+ rc = SQLITE_CORRUPT_VTAB;
+ }
+ *ppNode = pNode;
+ }else{
+ sqlite3_free(pNode);
+ *ppNode = 0;
+ }
+
+ return rc;
+}
+
+/*
+** Overwrite cell iCell of node pNode with the contents of pCell.
+*/
+static void nodeOverwriteCell(
+ Rtree *pRtree, /* The overall R-Tree */
+ RtreeNode *pNode, /* The node into which the cell is to be written */
+ RtreeCell *pCell, /* The cell to write */
+ int iCell /* Index into pNode into which pCell is written */
+){
+ int ii;
+ u8 *p = &pNode->zData[4 + pRtree->nBytesPerCell*iCell];
+ p += writeInt64(p, pCell->iRowid);
+ for(ii=0; ii<(pRtree->nDim*2); ii++){
+ p += writeCoord(p, &pCell->aCoord[ii]);
+ }
+ pNode->isDirty = 1;
+}
+
+/*
+** Remove the cell with index iCell from node pNode.
+*/
+static void nodeDeleteCell(Rtree *pRtree, RtreeNode *pNode, int iCell){
+ u8 *pDst = &pNode->zData[4 + pRtree->nBytesPerCell*iCell];
+ u8 *pSrc = &pDst[pRtree->nBytesPerCell];
+ int nByte = (NCELL(pNode) - iCell - 1) * pRtree->nBytesPerCell;
+ memmove(pDst, pSrc, nByte);
+ writeInt16(&pNode->zData[2], NCELL(pNode)-1);
+ pNode->isDirty = 1;
+}
+
+/*
+** Insert the contents of cell pCell into node pNode. If the insert
+** is successful, return SQLITE_OK.
+**
+** If there is not enough free space in pNode, return SQLITE_FULL.
+*/
+static int nodeInsertCell(
+ Rtree *pRtree, /* The overall R-Tree */
+ RtreeNode *pNode, /* Write new cell into this node */
+ RtreeCell *pCell /* The cell to be inserted */
+){
+ int nCell; /* Current number of cells in pNode */
+ int nMaxCell; /* Maximum number of cells for pNode */
+
+ nMaxCell = (pRtree->iNodeSize-4)/pRtree->nBytesPerCell;
+ nCell = NCELL(pNode);
+
+ assert( nCell<=nMaxCell );
+ if( nCell<nMaxCell ){
+ nodeOverwriteCell(pRtree, pNode, pCell, nCell);
+ writeInt16(&pNode->zData[2], nCell+1);
+ pNode->isDirty = 1;
+ }
+
+ return (nCell==nMaxCell);
+}
+
+/*
+** If the node is dirty, write it out to the database.
+*/
+static int nodeWrite(Rtree *pRtree, RtreeNode *pNode){
+ int rc = SQLITE_OK;
+ if( pNode->isDirty ){
+ sqlite3_stmt *p = pRtree->pWriteNode;
+ if( pNode->iNode ){
+ sqlite3_bind_int64(p, 1, pNode->iNode);
+ }else{
+ sqlite3_bind_null(p, 1);
+ }
+ sqlite3_bind_blob(p, 2, pNode->zData, pRtree->iNodeSize, SQLITE_STATIC);
+ sqlite3_step(p);
+ pNode->isDirty = 0;
+ rc = sqlite3_reset(p);
+ if( pNode->iNode==0 && rc==SQLITE_OK ){
+ pNode->iNode = sqlite3_last_insert_rowid(pRtree->db);
+ nodeHashInsert(pRtree, pNode);
+ }
+ }
+ return rc;
+}
+
+/*
+** Release a reference to a node. If the node is dirty and the reference
+** count drops to zero, the node data is written to the database.
+*/
+static int nodeRelease(Rtree *pRtree, RtreeNode *pNode){
+ int rc = SQLITE_OK;
+ if( pNode ){
+ assert( pNode->nRef>0 );
+ pNode->nRef--;
+ if( pNode->nRef==0 ){
+ if( pNode->iNode==1 ){
+ pRtree->iDepth = -1;
+ }
+ if( pNode->pParent ){
+ rc = nodeRelease(pRtree, pNode->pParent);
+ }
+ if( rc==SQLITE_OK ){
+ rc = nodeWrite(pRtree, pNode);
+ }
+ nodeHashDelete(pRtree, pNode);
+ sqlite3_free(pNode);
+ }
+ }
+ return rc;
+}
+
+/*
+** Return the 64-bit integer value associated with cell iCell of
+** node pNode. If pNode is a leaf node, this is a rowid. If it is
+** an internal node, then the 64-bit integer is a child page number.
+*/
+static i64 nodeGetRowid(
+ Rtree *pRtree, /* The overall R-Tree */
+ RtreeNode *pNode, /* The node from which to extract the ID */
+ int iCell /* The cell index from which to extract the ID */
+){
+ assert( iCell<NCELL(pNode) );
+ return readInt64(&pNode->zData[4 + pRtree->nBytesPerCell*iCell]);
+}
+
+/*
+** Return coordinate iCoord from cell iCell in node pNode.
+*/
+static void nodeGetCoord(
+ Rtree *pRtree, /* The overall R-Tree */
+ RtreeNode *pNode, /* The node from which to extract a coordinate */
+ int iCell, /* The index of the cell within the node */
+ int iCoord, /* Which coordinate to extract */
+ RtreeCoord *pCoord /* OUT: Space to write result to */
+){
+ readCoord(&pNode->zData[12 + pRtree->nBytesPerCell*iCell + 4*iCoord], pCoord);
+}
+
+/*
+** Deserialize cell iCell of node pNode. Populate the structure pointed
+** to by pCell with the results.
+*/
+static void nodeGetCell(
+ Rtree *pRtree, /* The overall R-Tree */
+ RtreeNode *pNode, /* The node containing the cell to be read */
+ int iCell, /* Index of the cell within the node */
+ RtreeCell *pCell /* OUT: Write the cell contents here */
+){
+ u8 *pData;
+ u8 *pEnd;
+ RtreeCoord *pCoord;
+ pCell->iRowid = nodeGetRowid(pRtree, pNode, iCell);
+ pData = pNode->zData + (12 + pRtree->nBytesPerCell*iCell);
+ pEnd = pData + pRtree->nDim*8;
+ pCoord = pCell->aCoord;
+ for(; pData<pEnd; pData+=4, pCoord++){
+ readCoord(pData, pCoord);
+ }
+}
+
+
+/* Forward declaration for the function that does the work of
+** the virtual table module xCreate() and xConnect() methods.
+*/
+static int rtreeInit(
+ sqlite3 *, void *, int, const char *const*, sqlite3_vtab **, char **, int
+);
+
+/*
+** Rtree virtual table module xCreate method.
+*/
+static int rtreeCreate(
+ sqlite3 *db,
+ void *pAux,
+ int argc, const char *const*argv,
+ sqlite3_vtab **ppVtab,
+ char **pzErr
+){
+ return rtreeInit(db, pAux, argc, argv, ppVtab, pzErr, 1);
+}
+
+/*
+** Rtree virtual table module xConnect method.
+*/
+static int rtreeConnect(
+ sqlite3 *db,
+ void *pAux,
+ int argc, const char *const*argv,
+ sqlite3_vtab **ppVtab,
+ char **pzErr
+){
+ return rtreeInit(db, pAux, argc, argv, ppVtab, pzErr, 0);
+}
+
+/*
+** Increment the r-tree reference count.
+*/
+static void rtreeReference(Rtree *pRtree){
+ pRtree->nBusy++;
+}
+
+/*
+** Decrement the r-tree reference count. When the reference count reaches
+** zero the structure is deleted.
+*/
+static void rtreeRelease(Rtree *pRtree){
+ pRtree->nBusy--;
+ if( pRtree->nBusy==0 ){
+ sqlite3_finalize(pRtree->pReadNode);
+ sqlite3_finalize(pRtree->pWriteNode);
+ sqlite3_finalize(pRtree->pDeleteNode);
+ sqlite3_finalize(pRtree->pReadRowid);
+ sqlite3_finalize(pRtree->pWriteRowid);
+ sqlite3_finalize(pRtree->pDeleteRowid);
+ sqlite3_finalize(pRtree->pReadParent);
+ sqlite3_finalize(pRtree->pWriteParent);
+ sqlite3_finalize(pRtree->pDeleteParent);
+ sqlite3_free(pRtree);
+ }
+}
+
+/*
+** Rtree virtual table module xDisconnect method.
+*/
+static int rtreeDisconnect(sqlite3_vtab *pVtab){
+ rtreeRelease((Rtree *)pVtab);
+ return SQLITE_OK;
+}
+
+/*
+** Rtree virtual table module xDestroy method.
+*/
+static int rtreeDestroy(sqlite3_vtab *pVtab){
+ Rtree *pRtree = (Rtree *)pVtab;
+ int rc;
+ char *zCreate = sqlite3_mprintf(
+ "DROP TABLE '%q'.'%q_node';"
+ "DROP TABLE '%q'.'%q_rowid';"
+ "DROP TABLE '%q'.'%q_parent';",
+ pRtree->zDb, pRtree->zName,
+ pRtree->zDb, pRtree->zName,
+ pRtree->zDb, pRtree->zName
+ );
+ if( !zCreate ){
+ rc = SQLITE_NOMEM;
+ }else{
+ rc = sqlite3_exec(pRtree->db, zCreate, 0, 0, 0);
+ sqlite3_free(zCreate);
+ }
+ if( rc==SQLITE_OK ){
+ rtreeRelease(pRtree);
+ }
+
+ return rc;
+}
+
+/*
+** Rtree virtual table module xOpen method.
+*/
+static int rtreeOpen(sqlite3_vtab *pVTab, sqlite3_vtab_cursor **ppCursor){
+ int rc = SQLITE_NOMEM;
+ RtreeCursor *pCsr;
+
+ pCsr = (RtreeCursor *)sqlite3_malloc(sizeof(RtreeCursor));
+ if( pCsr ){
+ memset(pCsr, 0, sizeof(RtreeCursor));
+ pCsr->base.pVtab = pVTab;
+ rc = SQLITE_OK;
+ }
+ *ppCursor = (sqlite3_vtab_cursor *)pCsr;
+
+ return rc;
+}
+
+
+/*
+** Free the RtreeCursor.aConstraint[] array and its contents.
+*/
+static void freeCursorConstraints(RtreeCursor *pCsr){
+ if( pCsr->aConstraint ){
+ int i; /* Used to iterate through constraint array */
+ for(i=0; i<pCsr->nConstraint; i++){
+ sqlite3_rtree_query_info *pInfo = pCsr->aConstraint[i].pInfo;
+ if( pInfo ){
+ if( pInfo->xDelUser ) pInfo->xDelUser(pInfo->pUser);
+ sqlite3_free(pInfo);
+ }
+ }
+ sqlite3_free(pCsr->aConstraint);
+ pCsr->aConstraint = 0;
+ }
+}
+
+/*
+** Rtree virtual table module xClose method.
+*/
+static int rtreeClose(sqlite3_vtab_cursor *cur){
+ Rtree *pRtree = (Rtree *)(cur->pVtab);
+ int ii;
+ RtreeCursor *pCsr = (RtreeCursor *)cur;
+ freeCursorConstraints(pCsr);
+ sqlite3_free(pCsr->aPoint);
+ for(ii=0; ii<RTREE_CACHE_SZ; ii++) nodeRelease(pRtree, pCsr->aNode[ii]);
+ sqlite3_free(pCsr);
+ return SQLITE_OK;
+}
+
+/*
+** Rtree virtual table module xEof method.
+**
+** Return non-zero if the cursor does not currently point to a valid
+** record (i.e if the scan has finished), or zero otherwise.
+*/
+static int rtreeEof(sqlite3_vtab_cursor *cur){
+ RtreeCursor *pCsr = (RtreeCursor *)cur;
+ return pCsr->atEOF;
+}
+
+/*
+** Convert raw bits from the on-disk RTree record into a coordinate value.
+** The on-disk format is big-endian and needs to be converted for little-
+** endian platforms. The on-disk record stores integer coordinates if
+** eInt is true and it stores 32-bit floating point records if eInt is
+** false. a[] is the four bytes of the on-disk record to be decoded.
+** Store the results in "r".
+**
+** There are three versions of this macro, one each for little-endian and
+** big-endian processors and a third generic implementation. The endian-
+** specific implementations are much faster and are preferred if the
+** processor endianness is known at compile-time. The SQLITE_BYTEORDER
+** macro is part of sqliteInt.h and hence the endian-specific
+** implementation will only be used if this module is compiled as part
+** of the amalgamation.
+*/
+#if defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==1234
+#define RTREE_DECODE_COORD(eInt, a, r) { \
+ RtreeCoord c; /* Coordinate decoded */ \
+ memcpy(&c.u,a,4); \
+ c.u = ((c.u>>24)&0xff)|((c.u>>8)&0xff00)| \
+ ((c.u&0xff)<<24)|((c.u&0xff00)<<8); \
+ r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
+}
+#elif defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==4321
+#define RTREE_DECODE_COORD(eInt, a, r) { \
+ RtreeCoord c; /* Coordinate decoded */ \
+ memcpy(&c.u,a,4); \
+ r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
+}
+#else
+#define RTREE_DECODE_COORD(eInt, a, r) { \
+ RtreeCoord c; /* Coordinate decoded */ \
+ c.u = ((u32)a[0]<<24) + ((u32)a[1]<<16) \
+ +((u32)a[2]<<8) + a[3]; \
+ r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
+}
+#endif
+
+/*
+** Check the RTree node or entry given by pCellData and p against the MATCH
+** constraint pConstraint.
+*/
+static int rtreeCallbackConstraint(
+ RtreeConstraint *pConstraint, /* The constraint to test */
+ int eInt, /* True if RTree holding integer coordinates */
+ u8 *pCellData, /* Raw cell content */
+ RtreeSearchPoint *pSearch, /* Container of this cell */
+ sqlite3_rtree_dbl *prScore, /* OUT: score for the cell */
+ int *peWithin /* OUT: visibility of the cell */
+){
+ int i; /* Loop counter */
+ sqlite3_rtree_query_info *pInfo = pConstraint->pInfo; /* Callback info */
+ int nCoord = pInfo->nCoord; /* No. of coordinates */
+ int rc; /* Callback return code */
+ sqlite3_rtree_dbl aCoord[RTREE_MAX_DIMENSIONS*2]; /* Decoded coordinates */
+
+ assert( pConstraint->op==RTREE_MATCH || pConstraint->op==RTREE_QUERY );
+ assert( nCoord==2 || nCoord==4 || nCoord==6 || nCoord==8 || nCoord==10 );
+
+ if( pConstraint->op==RTREE_QUERY && pSearch->iLevel==1 ){
+ pInfo->iRowid = readInt64(pCellData);
+ }
+ pCellData += 8;
+ for(i=0; i<nCoord; i++, pCellData += 4){
+ RTREE_DECODE_COORD(eInt, pCellData, aCoord[i]);
+ }
+ if( pConstraint->op==RTREE_MATCH ){
+ rc = pConstraint->u.xGeom((sqlite3_rtree_geometry*)pInfo,
+ nCoord, aCoord, &i);
+ if( i==0 ) *peWithin = NOT_WITHIN;
+ *prScore = RTREE_ZERO;
+ }else{
+ pInfo->aCoord = aCoord;
+ pInfo->iLevel = pSearch->iLevel - 1;
+ pInfo->rScore = pInfo->rParentScore = pSearch->rScore;
+ pInfo->eWithin = pInfo->eParentWithin = pSearch->eWithin;
+ rc = pConstraint->u.xQueryFunc(pInfo);
+ if( pInfo->eWithin<*peWithin ) *peWithin = pInfo->eWithin;
+ if( pInfo->rScore<*prScore || *prScore<RTREE_ZERO ){
+ *prScore = pInfo->rScore;
+ }
+ }
+ return rc;
+}
+
+/*
+** Check the internal RTree node given by pCellData against constraint p.
+** If this constraint cannot be satisfied by any child within the node,
+** set *peWithin to NOT_WITHIN.
+*/
+static void rtreeNonleafConstraint(
+ RtreeConstraint *p, /* The constraint to test */
+ int eInt, /* True if RTree holds integer coordinates */
+ u8 *pCellData, /* Raw cell content as appears on disk */
+ int *peWithin /* Adjust downward, as appropriate */
+){
+ sqlite3_rtree_dbl val; /* Coordinate value convert to a double */
+
+ /* p->iCoord might point to either a lower or upper bound coordinate
+ ** in a coordinate pair. But make pCellData point to the lower bound.
+ */
+ pCellData += 8 + 4*(p->iCoord&0xfe);
+
+ assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE
+ || p->op==RTREE_GT || p->op==RTREE_EQ );
+ switch( p->op ){
+ case RTREE_LE:
+ case RTREE_LT:
+ case RTREE_EQ:
+ RTREE_DECODE_COORD(eInt, pCellData, val);
+ /* val now holds the lower bound of the coordinate pair */
+ if( p->u.rValue>=val ) return;
+ if( p->op!=RTREE_EQ ) break; /* RTREE_LE and RTREE_LT end here */
+ /* Fall through for the RTREE_EQ case */
+
+ default: /* RTREE_GT or RTREE_GE, or fallthrough of RTREE_EQ */
+ pCellData += 4;
+ RTREE_DECODE_COORD(eInt, pCellData, val);
+ /* val now holds the upper bound of the coordinate pair */
+ if( p->u.rValue<=val ) return;
+ }
+ *peWithin = NOT_WITHIN;
+}
+
+/*
+** Check the leaf RTree cell given by pCellData against constraint p.
+** If this constraint is not satisfied, set *peWithin to NOT_WITHIN.
+** If the constraint is satisfied, leave *peWithin unchanged.
+**
+** The constraint is of the form: xN op $val
+**
+** The op is given by p->op. The xN is p->iCoord-th coordinate in
+** pCellData. $val is given by p->u.rValue.
+*/
+static void rtreeLeafConstraint(
+ RtreeConstraint *p, /* The constraint to test */
+ int eInt, /* True if RTree holds integer coordinates */
+ u8 *pCellData, /* Raw cell content as appears on disk */
+ int *peWithin /* Adjust downward, as appropriate */
+){
+ RtreeDValue xN; /* Coordinate value converted to a double */
+
+ assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE
+ || p->op==RTREE_GT || p->op==RTREE_EQ );
+ pCellData += 8 + p->iCoord*4;
+ RTREE_DECODE_COORD(eInt, pCellData, xN);
+ switch( p->op ){
+ case RTREE_LE: if( xN <= p->u.rValue ) return; break;
+ case RTREE_LT: if( xN < p->u.rValue ) return; break;
+ case RTREE_GE: if( xN >= p->u.rValue ) return; break;
+ case RTREE_GT: if( xN > p->u.rValue ) return; break;
+ default: if( xN == p->u.rValue ) return; break;
+ }
+ *peWithin = NOT_WITHIN;
+}
+
+/*
+** One of the cells in node pNode is guaranteed to have a 64-bit
+** integer value equal to iRowid. Return the index of this cell.
+*/
+static int nodeRowidIndex(
+ Rtree *pRtree,
+ RtreeNode *pNode,
+ i64 iRowid,
+ int *piIndex
+){
+ int ii;
+ int nCell = NCELL(pNode);
+ assert( nCell<200 );
+ for(ii=0; ii<nCell; ii++){
+ if( nodeGetRowid(pRtree, pNode, ii)==iRowid ){
+ *piIndex = ii;
+ return SQLITE_OK;
+ }
+ }
+ return SQLITE_CORRUPT_VTAB;
+}
+
+/*
+** Return the index of the cell containing a pointer to node pNode
+** in its parent. If pNode is the root node, return -1.
+*/
+static int nodeParentIndex(Rtree *pRtree, RtreeNode *pNode, int *piIndex){
+ RtreeNode *pParent = pNode->pParent;
+ if( pParent ){
+ return nodeRowidIndex(pRtree, pParent, pNode->iNode, piIndex);
+ }
+ *piIndex = -1;
+ return SQLITE_OK;
+}
+
+/*
+** Compare two search points. Return negative, zero, or positive if the first
+** is less than, equal to, or greater than the second.
+**
+** The rScore is the primary key. Smaller rScore values come first.
+** If the rScore is a tie, then use iLevel as the tie breaker with smaller
+** iLevel values coming first. In this way, if rScore is the same for all
+** SearchPoints, then iLevel becomes the deciding factor and the result
+** is a depth-first search, which is the desired default behavior.
+*/
+static int rtreeSearchPointCompare(
+ const RtreeSearchPoint *pA,
+ const RtreeSearchPoint *pB
+){
+ if( pA->rScore<pB->rScore ) return -1;
+ if( pA->rScore>pB->rScore ) return +1;
+ if( pA->iLevel<pB->iLevel ) return -1;
+ if( pA->iLevel>pB->iLevel ) return +1;
+ return 0;
+}
+
+/*
+** Interchange to search points in a cursor.
+*/
+static void rtreeSearchPointSwap(RtreeCursor *p, int i, int j){
+ RtreeSearchPoint t = p->aPoint[i];
+ assert( i<j );
+ p->aPoint[i] = p->aPoint[j];
+ p->aPoint[j] = t;
+ i++; j++;
+ if( i<RTREE_CACHE_SZ ){
+ if( j>=RTREE_CACHE_SZ ){
+ nodeRelease(RTREE_OF_CURSOR(p), p->aNode[i]);
+ p->aNode[i] = 0;
+ }else{
+ RtreeNode *pTemp = p->aNode[i];
+ p->aNode[i] = p->aNode[j];
+ p->aNode[j] = pTemp;
+ }
+ }
+}
+
+/*
+** Return the search point with the lowest current score.
+*/
+static RtreeSearchPoint *rtreeSearchPointFirst(RtreeCursor *pCur){
+ return pCur->bPoint ? &pCur->sPoint : pCur->nPoint ? pCur->aPoint : 0;
+}
+
+/*
+** Get the RtreeNode for the search point with the lowest score.
+*/
+static RtreeNode *rtreeNodeOfFirstSearchPoint(RtreeCursor *pCur, int *pRC){
+ sqlite3_int64 id;
+ int ii = 1 - pCur->bPoint;
+ assert( ii==0 || ii==1 );
+ assert( pCur->bPoint || pCur->nPoint );
+ if( pCur->aNode[ii]==0 ){
+ assert( pRC!=0 );
+ id = ii ? pCur->aPoint[0].id : pCur->sPoint.id;
+ *pRC = nodeAcquire(RTREE_OF_CURSOR(pCur), id, 0, &pCur->aNode[ii]);
+ }
+ return pCur->aNode[ii];
+}
+
+/*
+** Push a new element onto the priority queue
+*/
+static RtreeSearchPoint *rtreeEnqueue(
+ RtreeCursor *pCur, /* The cursor */
+ RtreeDValue rScore, /* Score for the new search point */
+ u8 iLevel /* Level for the new search point */
+){
+ int i, j;
+ RtreeSearchPoint *pNew;
+ if( pCur->nPoint>=pCur->nPointAlloc ){
+ int nNew = pCur->nPointAlloc*2 + 8;
+ pNew = sqlite3_realloc(pCur->aPoint, nNew*sizeof(pCur->aPoint[0]));
+ if( pNew==0 ) return 0;
+ pCur->aPoint = pNew;
+ pCur->nPointAlloc = nNew;
+ }
+ i = pCur->nPoint++;
+ pNew = pCur->aPoint + i;
+ pNew->rScore = rScore;
+ pNew->iLevel = iLevel;
+ assert( iLevel>=0 && iLevel<=RTREE_MAX_DEPTH );
+ while( i>0 ){
+ RtreeSearchPoint *pParent;
+ j = (i-1)/2;
+ pParent = pCur->aPoint + j;
+ if( rtreeSearchPointCompare(pNew, pParent)>=0 ) break;
+ rtreeSearchPointSwap(pCur, j, i);
+ i = j;
+ pNew = pParent;
+ }
+ return pNew;
+}
+
+/*
+** Allocate a new RtreeSearchPoint and return a pointer to it. Return
+** NULL if malloc fails.
+*/
+static RtreeSearchPoint *rtreeSearchPointNew(
+ RtreeCursor *pCur, /* The cursor */
+ RtreeDValue rScore, /* Score for the new search point */
+ u8 iLevel /* Level for the new search point */
+){
+ RtreeSearchPoint *pNew, *pFirst;
+ pFirst = rtreeSearchPointFirst(pCur);
+ pCur->anQueue[iLevel]++;
+ if( pFirst==0
+ || pFirst->rScore>rScore
+ || (pFirst->rScore==rScore && pFirst->iLevel>iLevel)
+ ){
+ if( pCur->bPoint ){
+ int ii;
+ pNew = rtreeEnqueue(pCur, rScore, iLevel);
+ if( pNew==0 ) return 0;
+ ii = (int)(pNew - pCur->aPoint) + 1;
+ if( ii<RTREE_CACHE_SZ ){
+ assert( pCur->aNode[ii]==0 );
+ pCur->aNode[ii] = pCur->aNode[0];
+ }else{
+ nodeRelease(RTREE_OF_CURSOR(pCur), pCur->aNode[0]);
+ }
+ pCur->aNode[0] = 0;
+ *pNew = pCur->sPoint;
+ }
+ pCur->sPoint.rScore = rScore;
+ pCur->sPoint.iLevel = iLevel;
+ pCur->bPoint = 1;
+ return &pCur->sPoint;
+ }else{
+ return rtreeEnqueue(pCur, rScore, iLevel);
+ }
+}
+
+#if 0
+/* Tracing routines for the RtreeSearchPoint queue */
+static void tracePoint(RtreeSearchPoint *p, int idx, RtreeCursor *pCur){
+ if( idx<0 ){ printf(" s"); }else{ printf("%2d", idx); }
+ printf(" %d.%05lld.%02d %g %d",
+ p->iLevel, p->id, p->iCell, p->rScore, p->eWithin
+ );
+ idx++;
+ if( idx<RTREE_CACHE_SZ ){
+ printf(" %p\n", pCur->aNode[idx]);
+ }else{
+ printf("\n");
+ }
+}
+static void traceQueue(RtreeCursor *pCur, const char *zPrefix){
+ int ii;
+ printf("=== %9s ", zPrefix);
+ if( pCur->bPoint ){
+ tracePoint(&pCur->sPoint, -1, pCur);
+ }
+ for(ii=0; ii<pCur->nPoint; ii++){
+ if( ii>0 || pCur->bPoint ) printf(" ");
+ tracePoint(&pCur->aPoint[ii], ii, pCur);
+ }
+}
+# define RTREE_QUEUE_TRACE(A,B) traceQueue(A,B)
+#else
+# define RTREE_QUEUE_TRACE(A,B) /* no-op */
+#endif
+
+/* Remove the search point with the lowest current score.
+*/
+static void rtreeSearchPointPop(RtreeCursor *p){
+ int i, j, k, n;
+ i = 1 - p->bPoint;
+ assert( i==0 || i==1 );
+ if( p->aNode[i] ){
+ nodeRelease(RTREE_OF_CURSOR(p), p->aNode[i]);
+ p->aNode[i] = 0;
+ }
+ if( p->bPoint ){
+ p->anQueue[p->sPoint.iLevel]--;
+ p->bPoint = 0;
+ }else if( p->nPoint ){
+ p->anQueue[p->aPoint[0].iLevel]--;
+ n = --p->nPoint;
+ p->aPoint[0] = p->aPoint[n];
+ if( n<RTREE_CACHE_SZ-1 ){
+ p->aNode[1] = p->aNode[n+1];
+ p->aNode[n+1] = 0;
+ }
+ i = 0;
+ while( (j = i*2+1)<n ){
+ k = j+1;
+ if( k<n && rtreeSearchPointCompare(&p->aPoint[k], &p->aPoint[j])<0 ){
+ if( rtreeSearchPointCompare(&p->aPoint[k], &p->aPoint[i])<0 ){
+ rtreeSearchPointSwap(p, i, k);
+ i = k;
+ }else{
+ break;
+ }
+ }else{
+ if( rtreeSearchPointCompare(&p->aPoint[j], &p->aPoint[i])<0 ){
+ rtreeSearchPointSwap(p, i, j);
+ i = j;
+ }else{
+ break;
+ }
+ }
+ }
+ }
+}
+
+
+/*
+** Continue the search on cursor pCur until the front of the queue
+** contains an entry suitable for returning as a result-set row,
+** or until the RtreeSearchPoint queue is empty, indicating that the
+** query has completed.
+*/
+static int rtreeStepToLeaf(RtreeCursor *pCur){
+ RtreeSearchPoint *p;
+ Rtree *pRtree = RTREE_OF_CURSOR(pCur);
+ RtreeNode *pNode;
+ int eWithin;
+ int rc = SQLITE_OK;
+ int nCell;
+ int nConstraint = pCur->nConstraint;
+ int ii;
+ int eInt;
+ RtreeSearchPoint x;
+
+ eInt = pRtree->eCoordType==RTREE_COORD_INT32;
+ while( (p = rtreeSearchPointFirst(pCur))!=0 && p->iLevel>0 ){
+ pNode = rtreeNodeOfFirstSearchPoint(pCur, &rc);
+ if( rc ) return rc;
+ nCell = NCELL(pNode);
+ assert( nCell<200 );
+ while( p->iCell<nCell ){
+ sqlite3_rtree_dbl rScore = (sqlite3_rtree_dbl)-1;
+ u8 *pCellData = pNode->zData + (4+pRtree->nBytesPerCell*p->iCell);
+ eWithin = FULLY_WITHIN;
+ for(ii=0; ii<nConstraint; ii++){
+ RtreeConstraint *pConstraint = pCur->aConstraint + ii;
+ if( pConstraint->op>=RTREE_MATCH ){
+ rc = rtreeCallbackConstraint(pConstraint, eInt, pCellData, p,
+ &rScore, &eWithin);
+ if( rc ) return rc;
+ }else if( p->iLevel==1 ){
+ rtreeLeafConstraint(pConstraint, eInt, pCellData, &eWithin);
+ }else{
+ rtreeNonleafConstraint(pConstraint, eInt, pCellData, &eWithin);
+ }
+ if( eWithin==NOT_WITHIN ) break;
+ }
+ p->iCell++;
+ if( eWithin==NOT_WITHIN ) continue;
+ x.iLevel = p->iLevel - 1;
+ if( x.iLevel ){
+ x.id = readInt64(pCellData);
+ x.iCell = 0;
+ }else{
+ x.id = p->id;
+ x.iCell = p->iCell - 1;
+ }
+ if( p->iCell>=nCell ){
+ RTREE_QUEUE_TRACE(pCur, "POP-S:");
+ rtreeSearchPointPop(pCur);
+ }
+ if( rScore<RTREE_ZERO ) rScore = RTREE_ZERO;
+ p = rtreeSearchPointNew(pCur, rScore, x.iLevel);
+ if( p==0 ) return SQLITE_NOMEM;
+ p->eWithin = eWithin;
+ p->id = x.id;
+ p->iCell = x.iCell;
+ RTREE_QUEUE_TRACE(pCur, "PUSH-S:");
+ break;
+ }
+ if( p->iCell>=nCell ){
+ RTREE_QUEUE_TRACE(pCur, "POP-Se:");
+ rtreeSearchPointPop(pCur);
+ }
+ }
+ pCur->atEOF = p==0;
+ return SQLITE_OK;
+}
+
+/*
+** Rtree virtual table module xNext method.
+*/
+static int rtreeNext(sqlite3_vtab_cursor *pVtabCursor){
+ RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;
+ int rc = SQLITE_OK;
+
+ /* Move to the next entry that matches the configured constraints. */
+ RTREE_QUEUE_TRACE(pCsr, "POP-Nx:");
+ rtreeSearchPointPop(pCsr);
+ rc = rtreeStepToLeaf(pCsr);
+ return rc;
+}
+
+/*
+** Rtree virtual table module xRowid method.
+*/
+static int rtreeRowid(sqlite3_vtab_cursor *pVtabCursor, sqlite_int64 *pRowid){
+ RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;
+ RtreeSearchPoint *p = rtreeSearchPointFirst(pCsr);
+ int rc = SQLITE_OK;
+ RtreeNode *pNode = rtreeNodeOfFirstSearchPoint(pCsr, &rc);
+ if( rc==SQLITE_OK && p ){
+ *pRowid = nodeGetRowid(RTREE_OF_CURSOR(pCsr), pNode, p->iCell);
+ }
+ return rc;
+}
+
+/*
+** Rtree virtual table module xColumn method.
+*/
+static int rtreeColumn(sqlite3_vtab_cursor *cur, sqlite3_context *ctx, int i){
+ Rtree *pRtree = (Rtree *)cur->pVtab;
+ RtreeCursor *pCsr = (RtreeCursor *)cur;
+ RtreeSearchPoint *p = rtreeSearchPointFirst(pCsr);
+ RtreeCoord c;
+ int rc = SQLITE_OK;
+ RtreeNode *pNode = rtreeNodeOfFirstSearchPoint(pCsr, &rc);
+
+ if( rc ) return rc;
+ if( p==0 ) return SQLITE_OK;
+ if( i==0 ){
+ sqlite3_result_int64(ctx, nodeGetRowid(pRtree, pNode, p->iCell));
+ }else{
+ if( rc ) return rc;
+ nodeGetCoord(pRtree, pNode, p->iCell, i-1, &c);
+#ifndef SQLITE_RTREE_INT_ONLY
+ if( pRtree->eCoordType==RTREE_COORD_REAL32 ){
+ sqlite3_result_double(ctx, c.f);
+ }else
+#endif
+ {
+ assert( pRtree->eCoordType==RTREE_COORD_INT32 );
+ sqlite3_result_int(ctx, c.i);
+ }
+ }
+ return SQLITE_OK;
+}
+
+/*
+** Use nodeAcquire() to obtain the leaf node containing the record with
+** rowid iRowid. If successful, set *ppLeaf to point to the node and
+** return SQLITE_OK. If there is no such record in the table, set
+** *ppLeaf to 0 and return SQLITE_OK. If an error occurs, set *ppLeaf
+** to zero and return an SQLite error code.
+*/
+static int findLeafNode(
+ Rtree *pRtree, /* RTree to search */
+ i64 iRowid, /* The rowid searching for */
+ RtreeNode **ppLeaf, /* Write the node here */
+ sqlite3_int64 *piNode /* Write the node-id here */
+){
+ int rc;
+ *ppLeaf = 0;
+ sqlite3_bind_int64(pRtree->pReadRowid, 1, iRowid);
+ if( sqlite3_step(pRtree->pReadRowid)==SQLITE_ROW ){
+ i64 iNode = sqlite3_column_int64(pRtree->pReadRowid, 0);
+ if( piNode ) *piNode = iNode;
+ rc = nodeAcquire(pRtree, iNode, 0, ppLeaf);
+ sqlite3_reset(pRtree->pReadRowid);
+ }else{
+ rc = sqlite3_reset(pRtree->pReadRowid);
+ }
+ return rc;
+}
+
+/*
+** This function is called to configure the RtreeConstraint object passed
+** as the second argument for a MATCH constraint. The value passed as the
+** first argument to this function is the right-hand operand to the MATCH
+** operator.
+*/
+static int deserializeGeometry(sqlite3_value *pValue, RtreeConstraint *pCons){
+ RtreeMatchArg *pBlob; /* BLOB returned by geometry function */
+ sqlite3_rtree_query_info *pInfo; /* Callback information */
+ int nBlob; /* Size of the geometry function blob */
+ int nExpected; /* Expected size of the BLOB */
+
+ /* Check that value is actually a blob. */
+ if( sqlite3_value_type(pValue)!=SQLITE_BLOB ) return SQLITE_ERROR;
+
+ /* Check that the blob is roughly the right size. */
+ nBlob = sqlite3_value_bytes(pValue);
+ if( nBlob<(int)sizeof(RtreeMatchArg)
+ || ((nBlob-sizeof(RtreeMatchArg))%sizeof(RtreeDValue))!=0
+ ){
+ return SQLITE_ERROR;
+ }
+
+ pInfo = (sqlite3_rtree_query_info*)sqlite3_malloc( sizeof(*pInfo)+nBlob );
+ if( !pInfo ) return SQLITE_NOMEM;
+ memset(pInfo, 0, sizeof(*pInfo));
+ pBlob = (RtreeMatchArg*)&pInfo[1];
+
+ memcpy(pBlob, sqlite3_value_blob(pValue), nBlob);
+ nExpected = (int)(sizeof(RtreeMatchArg) +
+ (pBlob->nParam-1)*sizeof(RtreeDValue));
+ if( pBlob->magic!=RTREE_GEOMETRY_MAGIC || nBlob!=nExpected ){
+ sqlite3_free(pInfo);
+ return SQLITE_ERROR;
+ }
+ pInfo->pContext = pBlob->cb.pContext;
+ pInfo->nParam = pBlob->nParam;
+ pInfo->aParam = pBlob->aParam;
+
+ if( pBlob->cb.xGeom ){
+ pCons->u.xGeom = pBlob->cb.xGeom;
+ }else{
+ pCons->op = RTREE_QUERY;
+ pCons->u.xQueryFunc = pBlob->cb.xQueryFunc;
+ }
+ pCons->pInfo = pInfo;
+ return SQLITE_OK;
+}
+
+/*
+** Rtree virtual table module xFilter method.
+*/
+static int rtreeFilter(
+ sqlite3_vtab_cursor *pVtabCursor,
+ int idxNum, const char *idxStr,
+ int argc, sqlite3_value **argv
+){
+ Rtree *pRtree = (Rtree *)pVtabCursor->pVtab;
+ RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;
+ RtreeNode *pRoot = 0;
+ int ii;
+ int rc = SQLITE_OK;
+ int iCell = 0;
+
+ rtreeReference(pRtree);
+
+ /* Reset the cursor to the same state as rtreeOpen() leaves it in. */
+ freeCursorConstraints(pCsr);
+ sqlite3_free(pCsr->aPoint);
+ memset(pCsr, 0, sizeof(RtreeCursor));
+ pCsr->base.pVtab = (sqlite3_vtab*)pRtree;
+
+ pCsr->iStrategy = idxNum;
+ if( idxNum==1 ){
+ /* Special case - lookup by rowid. */
+ RtreeNode *pLeaf; /* Leaf on which the required cell resides */
+ RtreeSearchPoint *p; /* Search point for the the leaf */
+ i64 iRowid = sqlite3_value_int64(argv[0]);
+ i64 iNode = 0;
+ rc = findLeafNode(pRtree, iRowid, &pLeaf, &iNode);
+ if( rc==SQLITE_OK && pLeaf!=0 ){
+ p = rtreeSearchPointNew(pCsr, RTREE_ZERO, 0);
+ assert( p!=0 ); /* Always returns pCsr->sPoint */
+ pCsr->aNode[0] = pLeaf;
+ p->id = iNode;
+ p->eWithin = PARTLY_WITHIN;
+ rc = nodeRowidIndex(pRtree, pLeaf, iRowid, &iCell);
+ p->iCell = iCell;
+ RTREE_QUEUE_TRACE(pCsr, "PUSH-F1:");
+ }else{
+ pCsr->atEOF = 1;
+ }
+ }else{
+ /* Normal case - r-tree scan. Set up the RtreeCursor.aConstraint array
+ ** with the configured constraints.
+ */
+ rc = nodeAcquire(pRtree, 1, 0, &pRoot);
+ if( rc==SQLITE_OK && argc>0 ){
+ pCsr->aConstraint = sqlite3_malloc(sizeof(RtreeConstraint)*argc);
+ pCsr->nConstraint = argc;
+ if( !pCsr->aConstraint ){
+ rc = SQLITE_NOMEM;
+ }else{
+ memset(pCsr->aConstraint, 0, sizeof(RtreeConstraint)*argc);
+ memset(pCsr->anQueue, 0, sizeof(u32)*(pRtree->iDepth + 1));
+ assert( (idxStr==0 && argc==0)
+ || (idxStr && (int)strlen(idxStr)==argc*2) );
+ for(ii=0; ii<argc; ii++){
+ RtreeConstraint *p = &pCsr->aConstraint[ii];
+ p->op = idxStr[ii*2];
+ p->iCoord = idxStr[ii*2+1]-'0';
+ if( p->op>=RTREE_MATCH ){
+ /* A MATCH operator. The right-hand-side must be a blob that
+ ** can be cast into an RtreeMatchArg object. One created using
+ ** an sqlite3_rtree_geometry_callback() SQL user function.
+ */
+ rc = deserializeGeometry(argv[ii], p);
+ if( rc!=SQLITE_OK ){
+ break;
+ }
+ p->pInfo->nCoord = pRtree->nDim*2;
+ p->pInfo->anQueue = pCsr->anQueue;
+ p->pInfo->mxLevel = pRtree->iDepth + 1;
+ }else{
+#ifdef SQLITE_RTREE_INT_ONLY
+ p->u.rValue = sqlite3_value_int64(argv[ii]);
+#else
+ p->u.rValue = sqlite3_value_double(argv[ii]);
+#endif
+ }
+ }
+ }
+ }
+ if( rc==SQLITE_OK ){
+ RtreeSearchPoint *pNew;
+ pNew = rtreeSearchPointNew(pCsr, RTREE_ZERO, pRtree->iDepth+1);
+ if( pNew==0 ) return SQLITE_NOMEM;
+ pNew->id = 1;
+ pNew->iCell = 0;
+ pNew->eWithin = PARTLY_WITHIN;
+ assert( pCsr->bPoint==1 );
+ pCsr->aNode[0] = pRoot;
+ pRoot = 0;
+ RTREE_QUEUE_TRACE(pCsr, "PUSH-Fm:");
+ rc = rtreeStepToLeaf(pCsr);
+ }
+ }
+
+ nodeRelease(pRtree, pRoot);
+ rtreeRelease(pRtree);
+ return rc;
+}
+
+/*
+** Set the pIdxInfo->estimatedRows variable to nRow. Unless this
+** extension is currently being used by a version of SQLite too old to
+** support estimatedRows. In that case this function is a no-op.
+*/
+static void setEstimatedRows(sqlite3_index_info *pIdxInfo, i64 nRow){
+#if SQLITE_VERSION_NUMBER>=3008002
+ if( sqlite3_libversion_number()>=3008002 ){
+ pIdxInfo->estimatedRows = nRow;
+ }
+#endif
+}
+
+/*
+** Rtree virtual table module xBestIndex method. There are three
+** table scan strategies to choose from (in order from most to
+** least desirable):
+**
+** idxNum idxStr Strategy
+** ------------------------------------------------
+** 1 Unused Direct lookup by rowid.
+** 2 See below R-tree query or full-table scan.
+** ------------------------------------------------
+**
+** If strategy 1 is used, then idxStr is not meaningful. If strategy
+** 2 is used, idxStr is formatted to contain 2 bytes for each
+** constraint used. The first two bytes of idxStr correspond to
+** the constraint in sqlite3_index_info.aConstraintUsage[] with
+** (argvIndex==1) etc.
+**
+** The first of each pair of bytes in idxStr identifies the constraint
+** operator as follows:
+**
+** Operator Byte Value
+** ----------------------
+** = 0x41 ('A')
+** <= 0x42 ('B')
+** < 0x43 ('C')
+** >= 0x44 ('D')
+** > 0x45 ('E')
+** MATCH 0x46 ('F')
+** ----------------------
+**
+** The second of each pair of bytes identifies the coordinate column
+** to which the constraint applies. The leftmost coordinate column
+** is 'a', the second from the left 'b' etc.
+*/
+static int rtreeBestIndex(sqlite3_vtab *tab, sqlite3_index_info *pIdxInfo){
+ Rtree *pRtree = (Rtree*)tab;
+ int rc = SQLITE_OK;
+ int ii;
+ i64 nRow; /* Estimated rows returned by this scan */
+
+ int iIdx = 0;
+ char zIdxStr[RTREE_MAX_DIMENSIONS*8+1];
+ memset(zIdxStr, 0, sizeof(zIdxStr));
+
+ assert( pIdxInfo->idxStr==0 );
+ for(ii=0; ii<pIdxInfo->nConstraint && iIdx<(int)(sizeof(zIdxStr)-1); ii++){
+ struct sqlite3_index_constraint *p = &pIdxInfo->aConstraint[ii];
+
+ if( p->usable && p->iColumn==0 && p->op==SQLITE_INDEX_CONSTRAINT_EQ ){
+ /* We have an equality constraint on the rowid. Use strategy 1. */
+ int jj;
+ for(jj=0; jj<ii; jj++){
+ pIdxInfo->aConstraintUsage[jj].argvIndex = 0;
+ pIdxInfo->aConstraintUsage[jj].omit = 0;
+ }
+ pIdxInfo->idxNum = 1;
+ pIdxInfo->aConstraintUsage[ii].argvIndex = 1;
+ pIdxInfo->aConstraintUsage[jj].omit = 1;
+
+ /* This strategy involves a two rowid lookups on an B-Tree structures
+ ** and then a linear search of an R-Tree node. This should be
+ ** considered almost as quick as a direct rowid lookup (for which
+ ** sqlite uses an internal cost of 0.0). It is expected to return
+ ** a single row.
+ */
+ pIdxInfo->estimatedCost = 30.0;
+ setEstimatedRows(pIdxInfo, 1);
+ return SQLITE_OK;
+ }
+
+ if( p->usable && (p->iColumn>0 || p->op==SQLITE_INDEX_CONSTRAINT_MATCH) ){
+ u8 op;
+ switch( p->op ){
+ case SQLITE_INDEX_CONSTRAINT_EQ: op = RTREE_EQ; break;
+ case SQLITE_INDEX_CONSTRAINT_GT: op = RTREE_GT; break;
+ case SQLITE_INDEX_CONSTRAINT_LE: op = RTREE_LE; break;
+ case SQLITE_INDEX_CONSTRAINT_LT: op = RTREE_LT; break;
+ case SQLITE_INDEX_CONSTRAINT_GE: op = RTREE_GE; break;
+ default:
+ assert( p->op==SQLITE_INDEX_CONSTRAINT_MATCH );
+ op = RTREE_MATCH;
+ break;
+ }
+ zIdxStr[iIdx++] = op;
+ zIdxStr[iIdx++] = p->iColumn - 1 + '0';
+ pIdxInfo->aConstraintUsage[ii].argvIndex = (iIdx/2);
+ pIdxInfo->aConstraintUsage[ii].omit = 1;
+ }
+ }
+
+ pIdxInfo->idxNum = 2;
+ pIdxInfo->needToFreeIdxStr = 1;
+ if( iIdx>0 && 0==(pIdxInfo->idxStr = sqlite3_mprintf("%s", zIdxStr)) ){
+ return SQLITE_NOMEM;
+ }
+
+ nRow = pRtree->nRowEst / (iIdx + 1);
+ pIdxInfo->estimatedCost = (double)6.0 * (double)nRow;
+ setEstimatedRows(pIdxInfo, nRow);
+
+ return rc;
+}
+
+/*
+** Return the N-dimensional volumn of the cell stored in *p.
+*/
+static RtreeDValue cellArea(Rtree *pRtree, RtreeCell *p){
+ RtreeDValue area = (RtreeDValue)1;
+ int ii;
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ area = (area * (DCOORD(p->aCoord[ii+1]) - DCOORD(p->aCoord[ii])));
+ }
+ return area;
+}
+
+/*
+** Return the margin length of cell p. The margin length is the sum
+** of the objects size in each dimension.
+*/
+static RtreeDValue cellMargin(Rtree *pRtree, RtreeCell *p){
+ RtreeDValue margin = (RtreeDValue)0;
+ int ii;
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ margin += (DCOORD(p->aCoord[ii+1]) - DCOORD(p->aCoord[ii]));
+ }
+ return margin;
+}
+
+/*
+** Store the union of cells p1 and p2 in p1.
+*/
+static void cellUnion(Rtree *pRtree, RtreeCell *p1, RtreeCell *p2){
+ int ii;
+ if( pRtree->eCoordType==RTREE_COORD_REAL32 ){
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ p1->aCoord[ii].f = MIN(p1->aCoord[ii].f, p2->aCoord[ii].f);
+ p1->aCoord[ii+1].f = MAX(p1->aCoord[ii+1].f, p2->aCoord[ii+1].f);
+ }
+ }else{
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ p1->aCoord[ii].i = MIN(p1->aCoord[ii].i, p2->aCoord[ii].i);
+ p1->aCoord[ii+1].i = MAX(p1->aCoord[ii+1].i, p2->aCoord[ii+1].i);
+ }
+ }
+}
+
+/*
+** Return true if the area covered by p2 is a subset of the area covered
+** by p1. False otherwise.
+*/
+static int cellContains(Rtree *pRtree, RtreeCell *p1, RtreeCell *p2){
+ int ii;
+ int isInt = (pRtree->eCoordType==RTREE_COORD_INT32);
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ RtreeCoord *a1 = &p1->aCoord[ii];
+ RtreeCoord *a2 = &p2->aCoord[ii];
+ if( (!isInt && (a2[0].f<a1[0].f || a2[1].f>a1[1].f))
+ || ( isInt && (a2[0].i<a1[0].i || a2[1].i>a1[1].i))
+ ){
+ return 0;
+ }
+ }
+ return 1;
+}
+
+/*
+** Return the amount cell p would grow by if it were unioned with pCell.
+*/
+static RtreeDValue cellGrowth(Rtree *pRtree, RtreeCell *p, RtreeCell *pCell){
+ RtreeDValue area;
+ RtreeCell cell;
+ memcpy(&cell, p, sizeof(RtreeCell));
+ area = cellArea(pRtree, &cell);
+ cellUnion(pRtree, &cell, pCell);
+ return (cellArea(pRtree, &cell)-area);
+}
+
+static RtreeDValue cellOverlap(
+ Rtree *pRtree,
+ RtreeCell *p,
+ RtreeCell *aCell,
+ int nCell
+){
+ int ii;
+ RtreeDValue overlap = RTREE_ZERO;
+ for(ii=0; ii<nCell; ii++){
+ int jj;
+ RtreeDValue o = (RtreeDValue)1;
+ for(jj=0; jj<(pRtree->nDim*2); jj+=2){
+ RtreeDValue x1, x2;
+ x1 = MAX(DCOORD(p->aCoord[jj]), DCOORD(aCell[ii].aCoord[jj]));
+ x2 = MIN(DCOORD(p->aCoord[jj+1]), DCOORD(aCell[ii].aCoord[jj+1]));
+ if( x2<x1 ){
+ o = (RtreeDValue)0;
+ break;
+ }else{
+ o = o * (x2-x1);
+ }
+ }
+ overlap += o;
+ }
+ return overlap;
+}
+
+
+/*
+** This function implements the ChooseLeaf algorithm from Gutman[84].
+** ChooseSubTree in r*tree terminology.
+*/
+static int ChooseLeaf(
+ Rtree *pRtree, /* Rtree table */
+ RtreeCell *pCell, /* Cell to insert into rtree */
+ int iHeight, /* Height of sub-tree rooted at pCell */
+ RtreeNode **ppLeaf /* OUT: Selected leaf page */
+){
+ int rc;
+ int ii;
+ RtreeNode *pNode;
+ rc = nodeAcquire(pRtree, 1, 0, &pNode);
+
+ for(ii=0; rc==SQLITE_OK && ii<(pRtree->iDepth-iHeight); ii++){
+ int iCell;
+ sqlite3_int64 iBest = 0;
+
+ RtreeDValue fMinGrowth = RTREE_ZERO;
+ RtreeDValue fMinArea = RTREE_ZERO;
+
+ int nCell = NCELL(pNode);
+ RtreeCell cell;
+ RtreeNode *pChild;
+
+ RtreeCell *aCell = 0;
+
+ /* Select the child node which will be enlarged the least if pCell
+ ** is inserted into it. Resolve ties by choosing the entry with
+ ** the smallest area.
+ */
+ for(iCell=0; iCell<nCell; iCell++){
+ int bBest = 0;
+ RtreeDValue growth;
+ RtreeDValue area;
+ nodeGetCell(pRtree, pNode, iCell, &cell);
+ growth = cellGrowth(pRtree, &cell, pCell);
+ area = cellArea(pRtree, &cell);
+ if( iCell==0||growth<fMinGrowth||(growth==fMinGrowth && area<fMinArea) ){
+ bBest = 1;
+ }
+ if( bBest ){
+ fMinGrowth = growth;
+ fMinArea = area;
+ iBest = cell.iRowid;
+ }
+ }
+
+ sqlite3_free(aCell);
+ rc = nodeAcquire(pRtree, iBest, pNode, &pChild);
+ nodeRelease(pRtree, pNode);
+ pNode = pChild;
+ }
+
+ *ppLeaf = pNode;
+ return rc;
+}
+
+/*
+** A cell with the same content as pCell has just been inserted into
+** the node pNode. This function updates the bounding box cells in
+** all ancestor elements.
+*/
+static int AdjustTree(
+ Rtree *pRtree, /* Rtree table */
+ RtreeNode *pNode, /* Adjust ancestry of this node. */
+ RtreeCell *pCell /* This cell was just inserted */
+){
+ RtreeNode *p = pNode;
+ while( p->pParent ){
+ RtreeNode *pParent = p->pParent;
+ RtreeCell cell;
+ int iCell;
+
+ if( nodeParentIndex(pRtree, p, &iCell) ){
+ return SQLITE_CORRUPT_VTAB;
+ }
+
+ nodeGetCell(pRtree, pParent, iCell, &cell);
+ if( !cellContains(pRtree, &cell, pCell) ){
+ cellUnion(pRtree, &cell, pCell);
+ nodeOverwriteCell(pRtree, pParent, &cell, iCell);
+ }
+
+ p = pParent;
+ }
+ return SQLITE_OK;
+}
+
+/*
+** Write mapping (iRowid->iNode) to the <rtree>_rowid table.
+*/
+static int rowidWrite(Rtree *pRtree, sqlite3_int64 iRowid, sqlite3_int64 iNode){
+ sqlite3_bind_int64(pRtree->pWriteRowid, 1, iRowid);
+ sqlite3_bind_int64(pRtree->pWriteRowid, 2, iNode);
+ sqlite3_step(pRtree->pWriteRowid);
+ return sqlite3_reset(pRtree->pWriteRowid);
+}
+
+/*
+** Write mapping (iNode->iPar) to the <rtree>_parent table.
+*/
+static int parentWrite(Rtree *pRtree, sqlite3_int64 iNode, sqlite3_int64 iPar){
+ sqlite3_bind_int64(pRtree->pWriteParent, 1, iNode);
+ sqlite3_bind_int64(pRtree->pWriteParent, 2, iPar);
+ sqlite3_step(pRtree->pWriteParent);
+ return sqlite3_reset(pRtree->pWriteParent);
+}
+
+static int rtreeInsertCell(Rtree *, RtreeNode *, RtreeCell *, int);
+
+
+/*
+** Arguments aIdx, aDistance and aSpare all point to arrays of size
+** nIdx. The aIdx array contains the set of integers from 0 to
+** (nIdx-1) in no particular order. This function sorts the values
+** in aIdx according to the indexed values in aDistance. For
+** example, assuming the inputs:
+**
+** aIdx = { 0, 1, 2, 3 }
+** aDistance = { 5.0, 2.0, 7.0, 6.0 }
+**
+** this function sets the aIdx array to contain:
+**
+** aIdx = { 0, 1, 2, 3 }
+**
+** The aSpare array is used as temporary working space by the
+** sorting algorithm.
+*/
+static void SortByDistance(
+ int *aIdx,
+ int nIdx,
+ RtreeDValue *aDistance,
+ int *aSpare
+){
+ if( nIdx>1 ){
+ int iLeft = 0;
+ int iRight = 0;
+
+ int nLeft = nIdx/2;
+ int nRight = nIdx-nLeft;
+ int *aLeft = aIdx;
+ int *aRight = &aIdx[nLeft];
+
+ SortByDistance(aLeft, nLeft, aDistance, aSpare);
+ SortByDistance(aRight, nRight, aDistance, aSpare);
+
+ memcpy(aSpare, aLeft, sizeof(int)*nLeft);
+ aLeft = aSpare;
+
+ while( iLeft<nLeft || iRight<nRight ){
+ if( iLeft==nLeft ){
+ aIdx[iLeft+iRight] = aRight[iRight];
+ iRight++;
+ }else if( iRight==nRight ){
+ aIdx[iLeft+iRight] = aLeft[iLeft];
+ iLeft++;
+ }else{
+ RtreeDValue fLeft = aDistance[aLeft[iLeft]];
+ RtreeDValue fRight = aDistance[aRight[iRight]];
+ if( fLeft<fRight ){
+ aIdx[iLeft+iRight] = aLeft[iLeft];
+ iLeft++;
+ }else{
+ aIdx[iLeft+iRight] = aRight[iRight];
+ iRight++;
+ }
+ }
+ }
+
+#if 0
+ /* Check that the sort worked */
+ {
+ int jj;
+ for(jj=1; jj<nIdx; jj++){
+ RtreeDValue left = aDistance[aIdx[jj-1]];
+ RtreeDValue right = aDistance[aIdx[jj]];
+ assert( left<=right );
+ }
+ }
+#endif
+ }
+}
+
+/*
+** Arguments aIdx, aCell and aSpare all point to arrays of size
+** nIdx. The aIdx array contains the set of integers from 0 to
+** (nIdx-1) in no particular order. This function sorts the values
+** in aIdx according to dimension iDim of the cells in aCell. The
+** minimum value of dimension iDim is considered first, the
+** maximum used to break ties.
+**
+** The aSpare array is used as temporary working space by the
+** sorting algorithm.
+*/
+static void SortByDimension(
+ Rtree *pRtree,
+ int *aIdx,
+ int nIdx,
+ int iDim,
+ RtreeCell *aCell,
+ int *aSpare
+){
+ if( nIdx>1 ){
+
+ int iLeft = 0;
+ int iRight = 0;
+
+ int nLeft = nIdx/2;
+ int nRight = nIdx-nLeft;
+ int *aLeft = aIdx;
+ int *aRight = &aIdx[nLeft];
+
+ SortByDimension(pRtree, aLeft, nLeft, iDim, aCell, aSpare);
+ SortByDimension(pRtree, aRight, nRight, iDim, aCell, aSpare);
+
+ memcpy(aSpare, aLeft, sizeof(int)*nLeft);
+ aLeft = aSpare;
+ while( iLeft<nLeft || iRight<nRight ){
+ RtreeDValue xleft1 = DCOORD(aCell[aLeft[iLeft]].aCoord[iDim*2]);
+ RtreeDValue xleft2 = DCOORD(aCell[aLeft[iLeft]].aCoord[iDim*2+1]);
+ RtreeDValue xright1 = DCOORD(aCell[aRight[iRight]].aCoord[iDim*2]);
+ RtreeDValue xright2 = DCOORD(aCell[aRight[iRight]].aCoord[iDim*2+1]);
+ if( (iLeft!=nLeft) && ((iRight==nRight)
+ || (xleft1<xright1)
+ || (xleft1==xright1 && xleft2<xright2)
+ )){
+ aIdx[iLeft+iRight] = aLeft[iLeft];
+ iLeft++;
+ }else{
+ aIdx[iLeft+iRight] = aRight[iRight];
+ iRight++;
+ }
+ }
+
+#if 0
+ /* Check that the sort worked */
+ {
+ int jj;
+ for(jj=1; jj<nIdx; jj++){
+ RtreeDValue xleft1 = aCell[aIdx[jj-1]].aCoord[iDim*2];
+ RtreeDValue xleft2 = aCell[aIdx[jj-1]].aCoord[iDim*2+1];
+ RtreeDValue xright1 = aCell[aIdx[jj]].aCoord[iDim*2];
+ RtreeDValue xright2 = aCell[aIdx[jj]].aCoord[iDim*2+1];
+ assert( xleft1<=xright1 && (xleft1<xright1 || xleft2<=xright2) );
+ }
+ }
+#endif
+ }
+}
+
+/*
+** Implementation of the R*-tree variant of SplitNode from Beckman[1990].
+*/
+static int splitNodeStartree(
+ Rtree *pRtree,
+ RtreeCell *aCell,
+ int nCell,
+ RtreeNode *pLeft,
+ RtreeNode *pRight,
+ RtreeCell *pBboxLeft,
+ RtreeCell *pBboxRight
+){
+ int **aaSorted;
+ int *aSpare;
+ int ii;
+
+ int iBestDim = 0;
+ int iBestSplit = 0;
+ RtreeDValue fBestMargin = RTREE_ZERO;
+
+ int nByte = (pRtree->nDim+1)*(sizeof(int*)+nCell*sizeof(int));
+
+ aaSorted = (int **)sqlite3_malloc(nByte);
+ if( !aaSorted ){
+ return SQLITE_NOMEM;
+ }
+
+ aSpare = &((int *)&aaSorted[pRtree->nDim])[pRtree->nDim*nCell];
+ memset(aaSorted, 0, nByte);
+ for(ii=0; ii<pRtree->nDim; ii++){
+ int jj;
+ aaSorted[ii] = &((int *)&aaSorted[pRtree->nDim])[ii*nCell];
+ for(jj=0; jj<nCell; jj++){
+ aaSorted[ii][jj] = jj;
+ }
+ SortByDimension(pRtree, aaSorted[ii], nCell, ii, aCell, aSpare);
+ }
+
+ for(ii=0; ii<pRtree->nDim; ii++){
+ RtreeDValue margin = RTREE_ZERO;
+ RtreeDValue fBestOverlap = RTREE_ZERO;
+ RtreeDValue fBestArea = RTREE_ZERO;
+ int iBestLeft = 0;
+ int nLeft;
+
+ for(
+ nLeft=RTREE_MINCELLS(pRtree);
+ nLeft<=(nCell-RTREE_MINCELLS(pRtree));
+ nLeft++
+ ){
+ RtreeCell left;
+ RtreeCell right;
+ int kk;
+ RtreeDValue overlap;
+ RtreeDValue area;
+
+ memcpy(&left, &aCell[aaSorted[ii][0]], sizeof(RtreeCell));
+ memcpy(&right, &aCell[aaSorted[ii][nCell-1]], sizeof(RtreeCell));
+ for(kk=1; kk<(nCell-1); kk++){
+ if( kk<nLeft ){
+ cellUnion(pRtree, &left, &aCell[aaSorted[ii][kk]]);
+ }else{
+ cellUnion(pRtree, &right, &aCell[aaSorted[ii][kk]]);
+ }
+ }
+ margin += cellMargin(pRtree, &left);
+ margin += cellMargin(pRtree, &right);
+ overlap = cellOverlap(pRtree, &left, &right, 1);
+ area = cellArea(pRtree, &left) + cellArea(pRtree, &right);
+ if( (nLeft==RTREE_MINCELLS(pRtree))
+ || (overlap<fBestOverlap)
+ || (overlap==fBestOverlap && area<fBestArea)
+ ){
+ iBestLeft = nLeft;
+ fBestOverlap = overlap;
+ fBestArea = area;
+ }
+ }
+
+ if( ii==0 || margin<fBestMargin ){
+ iBestDim = ii;
+ fBestMargin = margin;
+ iBestSplit = iBestLeft;
+ }
+ }
+
+ memcpy(pBboxLeft, &aCell[aaSorted[iBestDim][0]], sizeof(RtreeCell));
+ memcpy(pBboxRight, &aCell[aaSorted[iBestDim][iBestSplit]], sizeof(RtreeCell));
+ for(ii=0; ii<nCell; ii++){
+ RtreeNode *pTarget = (ii<iBestSplit)?pLeft:pRight;
+ RtreeCell *pBbox = (ii<iBestSplit)?pBboxLeft:pBboxRight;
+ RtreeCell *pCell = &aCell[aaSorted[iBestDim][ii]];
+ nodeInsertCell(pRtree, pTarget, pCell);
+ cellUnion(pRtree, pBbox, pCell);
+ }
+
+ sqlite3_free(aaSorted);
+ return SQLITE_OK;
+}
+
+
+static int updateMapping(
+ Rtree *pRtree,
+ i64 iRowid,
+ RtreeNode *pNode,
+ int iHeight
+){
+ int (*xSetMapping)(Rtree *, sqlite3_int64, sqlite3_int64);
+ xSetMapping = ((iHeight==0)?rowidWrite:parentWrite);
+ if( iHeight>0 ){
+ RtreeNode *pChild = nodeHashLookup(pRtree, iRowid);
+ if( pChild ){
+ nodeRelease(pRtree, pChild->pParent);
+ nodeReference(pNode);
+ pChild->pParent = pNode;
+ }
+ }
+ return xSetMapping(pRtree, iRowid, pNode->iNode);
+}
+
+static int SplitNode(
+ Rtree *pRtree,
+ RtreeNode *pNode,
+ RtreeCell *pCell,
+ int iHeight
+){
+ int i;
+ int newCellIsRight = 0;
+
+ int rc = SQLITE_OK;
+ int nCell = NCELL(pNode);
+ RtreeCell *aCell;
+ int *aiUsed;
+
+ RtreeNode *pLeft = 0;
+ RtreeNode *pRight = 0;
+
+ RtreeCell leftbbox;
+ RtreeCell rightbbox;
+
+ /* Allocate an array and populate it with a copy of pCell and
+ ** all cells from node pLeft. Then zero the original node.
+ */
+ aCell = sqlite3_malloc((sizeof(RtreeCell)+sizeof(int))*(nCell+1));
+ if( !aCell ){
+ rc = SQLITE_NOMEM;
+ goto splitnode_out;
+ }
+ aiUsed = (int *)&aCell[nCell+1];
+ memset(aiUsed, 0, sizeof(int)*(nCell+1));
+ for(i=0; i<nCell; i++){
+ nodeGetCell(pRtree, pNode, i, &aCell[i]);
+ }
+ nodeZero(pRtree, pNode);
+ memcpy(&aCell[nCell], pCell, sizeof(RtreeCell));
+ nCell++;
+
+ if( pNode->iNode==1 ){
+ pRight = nodeNew(pRtree, pNode);
+ pLeft = nodeNew(pRtree, pNode);
+ pRtree->iDepth++;
+ pNode->isDirty = 1;
+ writeInt16(pNode->zData, pRtree->iDepth);
+ }else{
+ pLeft = pNode;
+ pRight = nodeNew(pRtree, pLeft->pParent);
+ nodeReference(pLeft);
+ }
+
+ if( !pLeft || !pRight ){
+ rc = SQLITE_NOMEM;
+ goto splitnode_out;
+ }
+
+ memset(pLeft->zData, 0, pRtree->iNodeSize);
+ memset(pRight->zData, 0, pRtree->iNodeSize);
+
+ rc = splitNodeStartree(pRtree, aCell, nCell, pLeft, pRight,
+ &leftbbox, &rightbbox);
+ if( rc!=SQLITE_OK ){
+ goto splitnode_out;
+ }
+
+ /* Ensure both child nodes have node numbers assigned to them by calling
+ ** nodeWrite(). Node pRight always needs a node number, as it was created
+ ** by nodeNew() above. But node pLeft sometimes already has a node number.
+ ** In this case avoid the all to nodeWrite().
+ */
+ if( SQLITE_OK!=(rc = nodeWrite(pRtree, pRight))
+ || (0==pLeft->iNode && SQLITE_OK!=(rc = nodeWrite(pRtree, pLeft)))
+ ){
+ goto splitnode_out;
+ }
+
+ rightbbox.iRowid = pRight->iNode;
+ leftbbox.iRowid = pLeft->iNode;
+
+ if( pNode->iNode==1 ){
+ rc = rtreeInsertCell(pRtree, pLeft->pParent, &leftbbox, iHeight+1);
+ if( rc!=SQLITE_OK ){
+ goto splitnode_out;
+ }
+ }else{
+ RtreeNode *pParent = pLeft->pParent;
+ int iCell;
+ rc = nodeParentIndex(pRtree, pLeft, &iCell);
+ if( rc==SQLITE_OK ){
+ nodeOverwriteCell(pRtree, pParent, &leftbbox, iCell);
+ rc = AdjustTree(pRtree, pParent, &leftbbox);
+ }
+ if( rc!=SQLITE_OK ){
+ goto splitnode_out;
+ }
+ }
+ if( (rc = rtreeInsertCell(pRtree, pRight->pParent, &rightbbox, iHeight+1)) ){
+ goto splitnode_out;
+ }
+
+ for(i=0; i<NCELL(pRight); i++){
+ i64 iRowid = nodeGetRowid(pRtree, pRight, i);
+ rc = updateMapping(pRtree, iRowid, pRight, iHeight);
+ if( iRowid==pCell->iRowid ){
+ newCellIsRight = 1;
+ }
+ if( rc!=SQLITE_OK ){
+ goto splitnode_out;
+ }
+ }
+ if( pNode->iNode==1 ){
+ for(i=0; i<NCELL(pLeft); i++){
+ i64 iRowid = nodeGetRowid(pRtree, pLeft, i);
+ rc = updateMapping(pRtree, iRowid, pLeft, iHeight);
+ if( rc!=SQLITE_OK ){
+ goto splitnode_out;
+ }
+ }
+ }else if( newCellIsRight==0 ){
+ rc = updateMapping(pRtree, pCell->iRowid, pLeft, iHeight);
+ }
+
+ if( rc==SQLITE_OK ){
+ rc = nodeRelease(pRtree, pRight);
+ pRight = 0;
+ }
+ if( rc==SQLITE_OK ){
+ rc = nodeRelease(pRtree, pLeft);
+ pLeft = 0;
+ }
+
+splitnode_out:
+ nodeRelease(pRtree, pRight);
+ nodeRelease(pRtree, pLeft);
+ sqlite3_free(aCell);
+ return rc;
+}
+
+/*
+** If node pLeaf is not the root of the r-tree and its pParent pointer is
+** still NULL, load all ancestor nodes of pLeaf into memory and populate
+** the pLeaf->pParent chain all the way up to the root node.
+**
+** This operation is required when a row is deleted (or updated - an update
+** is implemented as a delete followed by an insert). SQLite provides the
+** rowid of the row to delete, which can be used to find the leaf on which
+** the entry resides (argument pLeaf). Once the leaf is located, this
+** function is called to determine its ancestry.
+*/
+static int fixLeafParent(Rtree *pRtree, RtreeNode *pLeaf){
+ int rc = SQLITE_OK;
+ RtreeNode *pChild = pLeaf;
+ while( rc==SQLITE_OK && pChild->iNode!=1 && pChild->pParent==0 ){
+ int rc2 = SQLITE_OK; /* sqlite3_reset() return code */
+ sqlite3_bind_int64(pRtree->pReadParent, 1, pChild->iNode);
+ rc = sqlite3_step(pRtree->pReadParent);
+ if( rc==SQLITE_ROW ){
+ RtreeNode *pTest; /* Used to test for reference loops */
+ i64 iNode; /* Node number of parent node */
+
+ /* Before setting pChild->pParent, test that we are not creating a
+ ** loop of references (as we would if, say, pChild==pParent). We don't
+ ** want to do this as it leads to a memory leak when trying to delete
+ ** the referenced counted node structures.
+ */
+ iNode = sqlite3_column_int64(pRtree->pReadParent, 0);
+ for(pTest=pLeaf; pTest && pTest->iNode!=iNode; pTest=pTest->pParent);
+ if( !pTest ){
+ rc2 = nodeAcquire(pRtree, iNode, 0, &pChild->pParent);
+ }
+ }
+ rc = sqlite3_reset(pRtree->pReadParent);
+ if( rc==SQLITE_OK ) rc = rc2;
+ if( rc==SQLITE_OK && !pChild->pParent ) rc = SQLITE_CORRUPT_VTAB;
+ pChild = pChild->pParent;
+ }
+ return rc;
+}
+
+static int deleteCell(Rtree *, RtreeNode *, int, int);
+
+static int removeNode(Rtree *pRtree, RtreeNode *pNode, int iHeight){
+ int rc;
+ int rc2;
+ RtreeNode *pParent = 0;
+ int iCell;
+
+ assert( pNode->nRef==1 );
+
+ /* Remove the entry in the parent cell. */
+ rc = nodeParentIndex(pRtree, pNode, &iCell);
+ if( rc==SQLITE_OK ){
+ pParent = pNode->pParent;
+ pNode->pParent = 0;
+ rc = deleteCell(pRtree, pParent, iCell, iHeight+1);
+ }
+ rc2 = nodeRelease(pRtree, pParent);
+ if( rc==SQLITE_OK ){
+ rc = rc2;
+ }
+ if( rc!=SQLITE_OK ){
+ return rc;
+ }
+
+ /* Remove the xxx_node entry. */
+ sqlite3_bind_int64(pRtree->pDeleteNode, 1, pNode->iNode);
+ sqlite3_step(pRtree->pDeleteNode);
+ if( SQLITE_OK!=(rc = sqlite3_reset(pRtree->pDeleteNode)) ){
+ return rc;
+ }
+
+ /* Remove the xxx_parent entry. */
+ sqlite3_bind_int64(pRtree->pDeleteParent, 1, pNode->iNode);
+ sqlite3_step(pRtree->pDeleteParent);
+ if( SQLITE_OK!=(rc = sqlite3_reset(pRtree->pDeleteParent)) ){
+ return rc;
+ }
+
+ /* Remove the node from the in-memory hash table and link it into
+ ** the Rtree.pDeleted list. Its contents will be re-inserted later on.
+ */
+ nodeHashDelete(pRtree, pNode);
+ pNode->iNode = iHeight;
+ pNode->pNext = pRtree->pDeleted;
+ pNode->nRef++;
+ pRtree->pDeleted = pNode;
+
+ return SQLITE_OK;
+}
+
+static int fixBoundingBox(Rtree *pRtree, RtreeNode *pNode){
+ RtreeNode *pParent = pNode->pParent;
+ int rc = SQLITE_OK;
+ if( pParent ){
+ int ii;
+ int nCell = NCELL(pNode);
+ RtreeCell box; /* Bounding box for pNode */
+ nodeGetCell(pRtree, pNode, 0, &box);
+ for(ii=1; ii<nCell; ii++){
+ RtreeCell cell;
+ nodeGetCell(pRtree, pNode, ii, &cell);
+ cellUnion(pRtree, &box, &cell);
+ }
+ box.iRowid = pNode->iNode;
+ rc = nodeParentIndex(pRtree, pNode, &ii);
+ if( rc==SQLITE_OK ){
+ nodeOverwriteCell(pRtree, pParent, &box, ii);
+ rc = fixBoundingBox(pRtree, pParent);
+ }
+ }
+ return rc;
+}
+
+/*
+** Delete the cell at index iCell of node pNode. After removing the
+** cell, adjust the r-tree data structure if required.
+*/
+static int deleteCell(Rtree *pRtree, RtreeNode *pNode, int iCell, int iHeight){
+ RtreeNode *pParent;
+ int rc;
+
+ if( SQLITE_OK!=(rc = fixLeafParent(pRtree, pNode)) ){
+ return rc;
+ }
+
+ /* Remove the cell from the node. This call just moves bytes around
+ ** the in-memory node image, so it cannot fail.
+ */
+ nodeDeleteCell(pRtree, pNode, iCell);
+
+ /* If the node is not the tree root and now has less than the minimum
+ ** number of cells, remove it from the tree. Otherwise, update the
+ ** cell in the parent node so that it tightly contains the updated
+ ** node.
+ */
+ pParent = pNode->pParent;
+ assert( pParent || pNode->iNode==1 );
+ if( pParent ){
+ if( NCELL(pNode)<RTREE_MINCELLS(pRtree) ){
+ rc = removeNode(pRtree, pNode, iHeight);
+ }else{
+ rc = fixBoundingBox(pRtree, pNode);
+ }
+ }
+
+ return rc;
+}
+
+static int Reinsert(
+ Rtree *pRtree,
+ RtreeNode *pNode,
+ RtreeCell *pCell,
+ int iHeight
+){
+ int *aOrder;
+ int *aSpare;
+ RtreeCell *aCell;
+ RtreeDValue *aDistance;
+ int nCell;
+ RtreeDValue aCenterCoord[RTREE_MAX_DIMENSIONS];
+ int iDim;
+ int ii;
+ int rc = SQLITE_OK;
+ int n;
+
+ memset(aCenterCoord, 0, sizeof(RtreeDValue)*RTREE_MAX_DIMENSIONS);
+
+ nCell = NCELL(pNode)+1;
+ n = (nCell+1)&(~1);
+
+ /* Allocate the buffers used by this operation. The allocation is
+ ** relinquished before this function returns.
+ */
+ aCell = (RtreeCell *)sqlite3_malloc(n * (
+ sizeof(RtreeCell) + /* aCell array */
+ sizeof(int) + /* aOrder array */
+ sizeof(int) + /* aSpare array */
+ sizeof(RtreeDValue) /* aDistance array */
+ ));
+ if( !aCell ){
+ return SQLITE_NOMEM;
+ }
+ aOrder = (int *)&aCell[n];
+ aSpare = (int *)&aOrder[n];
+ aDistance = (RtreeDValue *)&aSpare[n];
+
+ for(ii=0; ii<nCell; ii++){
+ if( ii==(nCell-1) ){
+ memcpy(&aCell[ii], pCell, sizeof(RtreeCell));
+ }else{
+ nodeGetCell(pRtree, pNode, ii, &aCell[ii]);
+ }
+ aOrder[ii] = ii;
+ for(iDim=0; iDim<pRtree->nDim; iDim++){
+ aCenterCoord[iDim] += DCOORD(aCell[ii].aCoord[iDim*2]);
+ aCenterCoord[iDim] += DCOORD(aCell[ii].aCoord[iDim*2+1]);
+ }
+ }
+ for(iDim=0; iDim<pRtree->nDim; iDim++){
+ aCenterCoord[iDim] = (aCenterCoord[iDim]/(nCell*(RtreeDValue)2));
+ }
+
+ for(ii=0; ii<nCell; ii++){
+ aDistance[ii] = RTREE_ZERO;
+ for(iDim=0; iDim<pRtree->nDim; iDim++){
+ RtreeDValue coord = (DCOORD(aCell[ii].aCoord[iDim*2+1]) -
+ DCOORD(aCell[ii].aCoord[iDim*2]));
+ aDistance[ii] += (coord-aCenterCoord[iDim])*(coord-aCenterCoord[iDim]);
+ }
+ }
+
+ SortByDistance(aOrder, nCell, aDistance, aSpare);
+ nodeZero(pRtree, pNode);
+
+ for(ii=0; rc==SQLITE_OK && ii<(nCell-(RTREE_MINCELLS(pRtree)+1)); ii++){
+ RtreeCell *p = &aCell[aOrder[ii]];
+ nodeInsertCell(pRtree, pNode, p);
+ if( p->iRowid==pCell->iRowid ){
+ if( iHeight==0 ){
+ rc = rowidWrite(pRtree, p->iRowid, pNode->iNode);
+ }else{
+ rc = parentWrite(pRtree, p->iRowid, pNode->iNode);
+ }
+ }
+ }
+ if( rc==SQLITE_OK ){
+ rc = fixBoundingBox(pRtree, pNode);
+ }
+ for(; rc==SQLITE_OK && ii<nCell; ii++){
+ /* Find a node to store this cell in. pNode->iNode currently contains
+ ** the height of the sub-tree headed by the cell.
+ */
+ RtreeNode *pInsert;
+ RtreeCell *p = &aCell[aOrder[ii]];
+ rc = ChooseLeaf(pRtree, p, iHeight, &pInsert);
+ if( rc==SQLITE_OK ){
+ int rc2;
+ rc = rtreeInsertCell(pRtree, pInsert, p, iHeight);
+ rc2 = nodeRelease(pRtree, pInsert);
+ if( rc==SQLITE_OK ){
+ rc = rc2;
+ }
+ }
+ }
+
+ sqlite3_free(aCell);
+ return rc;
+}
+
+/*
+** Insert cell pCell into node pNode. Node pNode is the head of a
+** subtree iHeight high (leaf nodes have iHeight==0).
+*/
+static int rtreeInsertCell(
+ Rtree *pRtree,
+ RtreeNode *pNode,
+ RtreeCell *pCell,
+ int iHeight
+){
+ int rc = SQLITE_OK;
+ if( iHeight>0 ){
+ RtreeNode *pChild = nodeHashLookup(pRtree, pCell->iRowid);
+ if( pChild ){
+ nodeRelease(pRtree, pChild->pParent);
+ nodeReference(pNode);
+ pChild->pParent = pNode;
+ }
+ }
+ if( nodeInsertCell(pRtree, pNode, pCell) ){
+ if( iHeight<=pRtree->iReinsertHeight || pNode->iNode==1){
+ rc = SplitNode(pRtree, pNode, pCell, iHeight);
+ }else{
+ pRtree->iReinsertHeight = iHeight;
+ rc = Reinsert(pRtree, pNode, pCell, iHeight);
+ }
+ }else{
+ rc = AdjustTree(pRtree, pNode, pCell);
+ if( rc==SQLITE_OK ){
+ if( iHeight==0 ){
+ rc = rowidWrite(pRtree, pCell->iRowid, pNode->iNode);
+ }else{
+ rc = parentWrite(pRtree, pCell->iRowid, pNode->iNode);
+ }
+ }
+ }
+ return rc;
+}
+
+static int reinsertNodeContent(Rtree *pRtree, RtreeNode *pNode){
+ int ii;
+ int rc = SQLITE_OK;
+ int nCell = NCELL(pNode);
+
+ for(ii=0; rc==SQLITE_OK && ii<nCell; ii++){
+ RtreeNode *pInsert;
+ RtreeCell cell;
+ nodeGetCell(pRtree, pNode, ii, &cell);
+
+ /* Find a node to store this cell in. pNode->iNode currently contains
+ ** the height of the sub-tree headed by the cell.
+ */
+ rc = ChooseLeaf(pRtree, &cell, (int)pNode->iNode, &pInsert);
+ if( rc==SQLITE_OK ){
+ int rc2;
+ rc = rtreeInsertCell(pRtree, pInsert, &cell, (int)pNode->iNode);
+ rc2 = nodeRelease(pRtree, pInsert);
+ if( rc==SQLITE_OK ){
+ rc = rc2;
+ }
+ }
+ }
+ return rc;
+}
+
+/*
+** Select a currently unused rowid for a new r-tree record.
+*/
+static int newRowid(Rtree *pRtree, i64 *piRowid){
+ int rc;
+ sqlite3_bind_null(pRtree->pWriteRowid, 1);
+ sqlite3_bind_null(pRtree->pWriteRowid, 2);
+ sqlite3_step(pRtree->pWriteRowid);
+ rc = sqlite3_reset(pRtree->pWriteRowid);
+ *piRowid = sqlite3_last_insert_rowid(pRtree->db);
+ return rc;
+}
+
+/*
+** Remove the entry with rowid=iDelete from the r-tree structure.
+*/
+static int rtreeDeleteRowid(Rtree *pRtree, sqlite3_int64 iDelete){
+ int rc; /* Return code */
+ RtreeNode *pLeaf = 0; /* Leaf node containing record iDelete */
+ int iCell; /* Index of iDelete cell in pLeaf */
+ RtreeNode *pRoot; /* Root node of rtree structure */
+
+
+ /* Obtain a reference to the root node to initialize Rtree.iDepth */
+ rc = nodeAcquire(pRtree, 1, 0, &pRoot);
+
+ /* Obtain a reference to the leaf node that contains the entry
+ ** about to be deleted.
+ */
+ if( rc==SQLITE_OK ){
+ rc = findLeafNode(pRtree, iDelete, &pLeaf, 0);
+ }
+
+ /* Delete the cell in question from the leaf node. */
+ if( rc==SQLITE_OK ){
+ int rc2;
+ rc = nodeRowidIndex(pRtree, pLeaf, iDelete, &iCell);
+ if( rc==SQLITE_OK ){
+ rc = deleteCell(pRtree, pLeaf, iCell, 0);
+ }
+ rc2 = nodeRelease(pRtree, pLeaf);
+ if( rc==SQLITE_OK ){
+ rc = rc2;
+ }
+ }
+
+ /* Delete the corresponding entry in the <rtree>_rowid table. */
+ if( rc==SQLITE_OK ){
+ sqlite3_bind_int64(pRtree->pDeleteRowid, 1, iDelete);
+ sqlite3_step(pRtree->pDeleteRowid);
+ rc = sqlite3_reset(pRtree->pDeleteRowid);
+ }
+
+ /* Check if the root node now has exactly one child. If so, remove
+ ** it, schedule the contents of the child for reinsertion and
+ ** reduce the tree height by one.
+ **
+ ** This is equivalent to copying the contents of the child into
+ ** the root node (the operation that Gutman's paper says to perform
+ ** in this scenario).
+ */
+ if( rc==SQLITE_OK && pRtree->iDepth>0 && NCELL(pRoot)==1 ){
+ int rc2;
+ RtreeNode *pChild;
+ i64 iChild = nodeGetRowid(pRtree, pRoot, 0);
+ rc = nodeAcquire(pRtree, iChild, pRoot, &pChild);
+ if( rc==SQLITE_OK ){
+ rc = removeNode(pRtree, pChild, pRtree->iDepth-1);
+ }
+ rc2 = nodeRelease(pRtree, pChild);
+ if( rc==SQLITE_OK ) rc = rc2;
+ if( rc==SQLITE_OK ){
+ pRtree->iDepth--;
+ writeInt16(pRoot->zData, pRtree->iDepth);
+ pRoot->isDirty = 1;
+ }
+ }
+
+ /* Re-insert the contents of any underfull nodes removed from the tree. */
+ for(pLeaf=pRtree->pDeleted; pLeaf; pLeaf=pRtree->pDeleted){
+ if( rc==SQLITE_OK ){
+ rc = reinsertNodeContent(pRtree, pLeaf);
+ }
+ pRtree->pDeleted = pLeaf->pNext;
+ sqlite3_free(pLeaf);
+ }
+
+ /* Release the reference to the root node. */
+ if( rc==SQLITE_OK ){
+ rc = nodeRelease(pRtree, pRoot);
+ }else{
+ nodeRelease(pRtree, pRoot);
+ }
+
+ return rc;
+}
+
+/*
+** Rounding constants for float->double conversion.
+*/
+#define RNDTOWARDS (1.0 - 1.0/8388608.0) /* Round towards zero */
+#define RNDAWAY (1.0 + 1.0/8388608.0) /* Round away from zero */
+
+#if !defined(SQLITE_RTREE_INT_ONLY)
+/*
+** Convert an sqlite3_value into an RtreeValue (presumably a float)
+** while taking care to round toward negative or positive, respectively.
+*/
+static RtreeValue rtreeValueDown(sqlite3_value *v){
+ double d = sqlite3_value_double(v);
+ float f = (float)d;
+ if( f>d ){
+ f = (float)(d*(d<0 ? RNDAWAY : RNDTOWARDS));
+ }
+ return f;
+}
+static RtreeValue rtreeValueUp(sqlite3_value *v){
+ double d = sqlite3_value_double(v);
+ float f = (float)d;
+ if( f<d ){
+ f = (float)(d*(d<0 ? RNDTOWARDS : RNDAWAY));
+ }
+ return f;
+}
+#endif /* !defined(SQLITE_RTREE_INT_ONLY) */
+
+
+/*
+** The xUpdate method for rtree module virtual tables.
+*/
+static int rtreeUpdate(
+ sqlite3_vtab *pVtab,
+ int nData,
+ sqlite3_value **azData,
+ sqlite_int64 *pRowid
+){
+ Rtree *pRtree = (Rtree *)pVtab;
+ int rc = SQLITE_OK;
+ RtreeCell cell; /* New cell to insert if nData>1 */
+ int bHaveRowid = 0; /* Set to 1 after new rowid is determined */
+
+ rtreeReference(pRtree);
+ assert(nData>=1);
+
+ /* Constraint handling. A write operation on an r-tree table may return
+ ** SQLITE_CONSTRAINT for two reasons:
+ **
+ ** 1. A duplicate rowid value, or
+ ** 2. The supplied data violates the "x2>=x1" constraint.
+ **
+ ** In the first case, if the conflict-handling mode is REPLACE, then
+ ** the conflicting row can be removed before proceeding. In the second
+ ** case, SQLITE_CONSTRAINT must be returned regardless of the
+ ** conflict-handling mode specified by the user.
+ */
+ if( nData>1 ){
+ int ii;
+
+ /* Populate the cell.aCoord[] array. The first coordinate is azData[3]. */
+ assert( nData==(pRtree->nDim*2 + 3) );
+#ifndef SQLITE_RTREE_INT_ONLY
+ if( pRtree->eCoordType==RTREE_COORD_REAL32 ){
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ cell.aCoord[ii].f = rtreeValueDown(azData[ii+3]);
+ cell.aCoord[ii+1].f = rtreeValueUp(azData[ii+4]);
+ if( cell.aCoord[ii].f>cell.aCoord[ii+1].f ){
+ rc = SQLITE_CONSTRAINT;
+ goto constraint;
+ }
+ }
+ }else
+#endif
+ {
+ for(ii=0; ii<(pRtree->nDim*2); ii+=2){
+ cell.aCoord[ii].i = sqlite3_value_int(azData[ii+3]);
+ cell.aCoord[ii+1].i = sqlite3_value_int(azData[ii+4]);
+ if( cell.aCoord[ii].i>cell.aCoord[ii+1].i ){
+ rc = SQLITE_CONSTRAINT;
+ goto constraint;
+ }
+ }
+ }
+
+ /* If a rowid value was supplied, check if it is already present in
+ ** the table. If so, the constraint has failed. */
+ if( sqlite3_value_type(azData[2])!=SQLITE_NULL ){
+ cell.iRowid = sqlite3_value_int64(azData[2]);
+ if( sqlite3_value_type(azData[0])==SQLITE_NULL
+ || sqlite3_value_int64(azData[0])!=cell.iRowid
+ ){
+ int steprc;
+ sqlite3_bind_int64(pRtree->pReadRowid, 1, cell.iRowid);
+ steprc = sqlite3_step(pRtree->pReadRowid);
+ rc = sqlite3_reset(pRtree->pReadRowid);
+ if( SQLITE_ROW==steprc ){
+ if( sqlite3_vtab_on_conflict(pRtree->db)==SQLITE_REPLACE ){
+ rc = rtreeDeleteRowid(pRtree, cell.iRowid);
+ }else{
+ rc = SQLITE_CONSTRAINT;
+ goto constraint;
+ }
+ }
+ }
+ bHaveRowid = 1;
+ }
+ }
+
+ /* If azData[0] is not an SQL NULL value, it is the rowid of a
+ ** record to delete from the r-tree table. The following block does
+ ** just that.
+ */
+ if( sqlite3_value_type(azData[0])!=SQLITE_NULL ){
+ rc = rtreeDeleteRowid(pRtree, sqlite3_value_int64(azData[0]));
+ }
+
+ /* If the azData[] array contains more than one element, elements
+ ** (azData[2]..azData[argc-1]) contain a new record to insert into
+ ** the r-tree structure.
+ */
+ if( rc==SQLITE_OK && nData>1 ){
+ /* Insert the new record into the r-tree */
+ RtreeNode *pLeaf = 0;
+
+ /* Figure out the rowid of the new row. */
+ if( bHaveRowid==0 ){
+ rc = newRowid(pRtree, &cell.iRowid);
+ }
+ *pRowid = cell.iRowid;
+
+ if( rc==SQLITE_OK ){
+ rc = ChooseLeaf(pRtree, &cell, 0, &pLeaf);
+ }
+ if( rc==SQLITE_OK ){
+ int rc2;
+ pRtree->iReinsertHeight = -1;
+ rc = rtreeInsertCell(pRtree, pLeaf, &cell, 0);
+ rc2 = nodeRelease(pRtree, pLeaf);
+ if( rc==SQLITE_OK ){
+ rc = rc2;
+ }
+ }
+ }
+
+constraint:
+ rtreeRelease(pRtree);
+ return rc;
+}
+
+/*
+** The xRename method for rtree module virtual tables.
+*/
+static int rtreeRename(sqlite3_vtab *pVtab, const char *zNewName){
+ Rtree *pRtree = (Rtree *)pVtab;
+ int rc = SQLITE_NOMEM;
+ char *zSql = sqlite3_mprintf(
+ "ALTER TABLE %Q.'%q_node' RENAME TO \"%w_node\";"
+ "ALTER TABLE %Q.'%q_parent' RENAME TO \"%w_parent\";"
+ "ALTER TABLE %Q.'%q_rowid' RENAME TO \"%w_rowid\";"
+ , pRtree->zDb, pRtree->zName, zNewName
+ , pRtree->zDb, pRtree->zName, zNewName
+ , pRtree->zDb, pRtree->zName, zNewName
+ );
+ if( zSql ){
+ rc = sqlite3_exec(pRtree->db, zSql, 0, 0, 0);
+ sqlite3_free(zSql);
+ }
+ return rc;
+}
+
+/*
+** This function populates the pRtree->nRowEst variable with an estimate
+** of the number of rows in the virtual table. If possible, this is based
+** on sqlite_stat1 data. Otherwise, use RTREE_DEFAULT_ROWEST.
+*/
+static int rtreeQueryStat1(sqlite3 *db, Rtree *pRtree){
+ const char *zFmt = "SELECT stat FROM %Q.sqlite_stat1 WHERE tbl = '%q_rowid'";
+ char *zSql;
+ sqlite3_stmt *p;
+ int rc;
+ i64 nRow = 0;
+
+ zSql = sqlite3_mprintf(zFmt, pRtree->zDb, pRtree->zName);
+ if( zSql==0 ){
+ rc = SQLITE_NOMEM;
+ }else{
+ rc = sqlite3_prepare_v2(db, zSql, -1, &p, 0);
+ if( rc==SQLITE_OK ){
+ if( sqlite3_step(p)==SQLITE_ROW ) nRow = sqlite3_column_int64(p, 0);
+ rc = sqlite3_finalize(p);
+ }else if( rc!=SQLITE_NOMEM ){
+ rc = SQLITE_OK;
+ }
+
+ if( rc==SQLITE_OK ){
+ if( nRow==0 ){
+ pRtree->nRowEst = RTREE_DEFAULT_ROWEST;
+ }else{
+ pRtree->nRowEst = MAX(nRow, RTREE_MIN_ROWEST);
+ }
+ }
+ sqlite3_free(zSql);
+ }
+
+ return rc;
+}
+
+static sqlite3_module rtreeModule = {
+ 0, /* iVersion */
+ rtreeCreate, /* xCreate - create a table */
+ rtreeConnect, /* xConnect - connect to an existing table */
+ rtreeBestIndex, /* xBestIndex - Determine search strategy */
+ rtreeDisconnect, /* xDisconnect - Disconnect from a table */
+ rtreeDestroy, /* xDestroy - Drop a table */
+ rtreeOpen, /* xOpen - open a cursor */
+ rtreeClose, /* xClose - close a cursor */
+ rtreeFilter, /* xFilter - configure scan constraints */
+ rtreeNext, /* xNext - advance a cursor */
+ rtreeEof, /* xEof */
+ rtreeColumn, /* xColumn - read data */
+ rtreeRowid, /* xRowid - read data */
+ rtreeUpdate, /* xUpdate - write data */
+ 0, /* xBegin - begin transaction */
+ 0, /* xSync - sync transaction */
+ 0, /* xCommit - commit transaction */
+ 0, /* xRollback - rollback transaction */
+ 0, /* xFindFunction - function overloading */
+ rtreeRename, /* xRename - rename the table */
+ 0, /* xSavepoint */
+ 0, /* xRelease */
+ 0 /* xRollbackTo */
+};
+
+static int rtreeSqlInit(
+ Rtree *pRtree,
+ sqlite3 *db,
+ const char *zDb,
+ const char *zPrefix,
+ int isCreate
+){
+ int rc = SQLITE_OK;
+
+ #define N_STATEMENT 9
+ static const char *azSql[N_STATEMENT] = {
+ /* Read and write the xxx_node table */
+ "SELECT data FROM '%q'.'%q_node' WHERE nodeno = :1",
+ "INSERT OR REPLACE INTO '%q'.'%q_node' VALUES(:1, :2)",
+ "DELETE FROM '%q'.'%q_node' WHERE nodeno = :1",
+
+ /* Read and write the xxx_rowid table */
+ "SELECT nodeno FROM '%q'.'%q_rowid' WHERE rowid = :1",
+ "INSERT OR REPLACE INTO '%q'.'%q_rowid' VALUES(:1, :2)",
+ "DELETE FROM '%q'.'%q_rowid' WHERE rowid = :1",
+
+ /* Read and write the xxx_parent table */
+ "SELECT parentnode FROM '%q'.'%q_parent' WHERE nodeno = :1",
+ "INSERT OR REPLACE INTO '%q'.'%q_parent' VALUES(:1, :2)",
+ "DELETE FROM '%q'.'%q_parent' WHERE nodeno = :1"
+ };
+ sqlite3_stmt **appStmt[N_STATEMENT];
+ int i;
+
+ pRtree->db = db;
+
+ if( isCreate ){
+ char *zCreate = sqlite3_mprintf(
+"CREATE TABLE \"%w\".\"%w_node\"(nodeno INTEGER PRIMARY KEY, data BLOB);"
+"CREATE TABLE \"%w\".\"%w_rowid\"(rowid INTEGER PRIMARY KEY, nodeno INTEGER);"
+"CREATE TABLE \"%w\".\"%w_parent\"(nodeno INTEGER PRIMARY KEY,"
+ " parentnode INTEGER);"
+"INSERT INTO '%q'.'%q_node' VALUES(1, zeroblob(%d))",
+ zDb, zPrefix, zDb, zPrefix, zDb, zPrefix, zDb, zPrefix, pRtree->iNodeSize
+ );
+ if( !zCreate ){
+ return SQLITE_NOMEM;
+ }
+ rc = sqlite3_exec(db, zCreate, 0, 0, 0);
+ sqlite3_free(zCreate);
+ if( rc!=SQLITE_OK ){
+ return rc;
+ }
+ }
+
+ appStmt[0] = &pRtree->pReadNode;
+ appStmt[1] = &pRtree->pWriteNode;
+ appStmt[2] = &pRtree->pDeleteNode;
+ appStmt[3] = &pRtree->pReadRowid;
+ appStmt[4] = &pRtree->pWriteRowid;
+ appStmt[5] = &pRtree->pDeleteRowid;
+ appStmt[6] = &pRtree->pReadParent;
+ appStmt[7] = &pRtree->pWriteParent;
+ appStmt[8] = &pRtree->pDeleteParent;
+
+ rc = rtreeQueryStat1(db, pRtree);
+ for(i=0; i<N_STATEMENT && rc==SQLITE_OK; i++){
+ char *zSql = sqlite3_mprintf(azSql[i], zDb, zPrefix);
+ if( zSql ){
+ rc = sqlite3_prepare_v2(db, zSql, -1, appStmt[i], 0);
+ }else{
+ rc = SQLITE_NOMEM;
+ }
+ sqlite3_free(zSql);
+ }
+
+ return rc;
+}
+
+/*
+** The second argument to this function contains the text of an SQL statement
+** that returns a single integer value. The statement is compiled and executed
+** using database connection db. If successful, the integer value returned
+** is written to *piVal and SQLITE_OK returned. Otherwise, an SQLite error
+** code is returned and the value of *piVal after returning is not defined.
+*/
+static int getIntFromStmt(sqlite3 *db, const char *zSql, int *piVal){
+ int rc = SQLITE_NOMEM;
+ if( zSql ){
+ sqlite3_stmt *pStmt = 0;
+ rc = sqlite3_prepare_v2(db, zSql, -1, &pStmt, 0);
+ if( rc==SQLITE_OK ){
+ if( SQLITE_ROW==sqlite3_step(pStmt) ){
+ *piVal = sqlite3_column_int(pStmt, 0);
+ }
+ rc = sqlite3_finalize(pStmt);
+ }
+ }
+ return rc;
+}
+
+/*
+** This function is called from within the xConnect() or xCreate() method to
+** determine the node-size used by the rtree table being created or connected
+** to. If successful, pRtree->iNodeSize is populated and SQLITE_OK returned.
+** Otherwise, an SQLite error code is returned.
+**
+** If this function is being called as part of an xConnect(), then the rtree
+** table already exists. In this case the node-size is determined by inspecting
+** the root node of the tree.
+**
+** Otherwise, for an xCreate(), use 64 bytes less than the database page-size.
+** This ensures that each node is stored on a single database page. If the
+** database page-size is so large that more than RTREE_MAXCELLS entries
+** would fit in a single node, use a smaller node-size.
+*/
+static int getNodeSize(
+ sqlite3 *db, /* Database handle */
+ Rtree *pRtree, /* Rtree handle */
+ int isCreate, /* True for xCreate, false for xConnect */
+ char **pzErr /* OUT: Error message, if any */
+){
+ int rc;
+ char *zSql;
+ if( isCreate ){
+ int iPageSize = 0;
+ zSql = sqlite3_mprintf("PRAGMA %Q.page_size", pRtree->zDb);
+ rc = getIntFromStmt(db, zSql, &iPageSize);
+ if( rc==SQLITE_OK ){
+ pRtree->iNodeSize = iPageSize-64;
+ if( (4+pRtree->nBytesPerCell*RTREE_MAXCELLS)<pRtree->iNodeSize ){
+ pRtree->iNodeSize = 4+pRtree->nBytesPerCell*RTREE_MAXCELLS;
+ }
+ }else{
+ *pzErr = sqlite3_mprintf("%s", sqlite3_errmsg(db));
+ }
+ }else{
+ zSql = sqlite3_mprintf(
+ "SELECT length(data) FROM '%q'.'%q_node' WHERE nodeno = 1",
+ pRtree->zDb, pRtree->zName
+ );
+ rc = getIntFromStmt(db, zSql, &pRtree->iNodeSize);
+ if( rc!=SQLITE_OK ){
+ *pzErr = sqlite3_mprintf("%s", sqlite3_errmsg(db));
+ }
+ }
+
+ sqlite3_free(zSql);
+ return rc;
+}
+
+/*
+** This function is the implementation of both the xConnect and xCreate
+** methods of the r-tree virtual table.
+**
+** argv[0] -> module name
+** argv[1] -> database name
+** argv[2] -> table name
+** argv[...] -> column names...
+*/
+static int rtreeInit(
+ sqlite3 *db, /* Database connection */
+ void *pAux, /* One of the RTREE_COORD_* constants */
+ int argc, const char *const*argv, /* Parameters to CREATE TABLE statement */
+ sqlite3_vtab **ppVtab, /* OUT: New virtual table */
+ char **pzErr, /* OUT: Error message, if any */
+ int isCreate /* True for xCreate, false for xConnect */
+){
+ int rc = SQLITE_OK;
+ Rtree *pRtree;
+ int nDb; /* Length of string argv[1] */
+ int nName; /* Length of string argv[2] */
+ int eCoordType = (pAux ? RTREE_COORD_INT32 : RTREE_COORD_REAL32);
+
+ const char *aErrMsg[] = {
+ 0, /* 0 */
+ "Wrong number of columns for an rtree table", /* 1 */
+ "Too few columns for an rtree table", /* 2 */
+ "Too many columns for an rtree table" /* 3 */
+ };
+
+ int iErr = (argc<6) ? 2 : argc>(RTREE_MAX_DIMENSIONS*2+4) ? 3 : argc%2;
+ if( aErrMsg[iErr] ){
+ *pzErr = sqlite3_mprintf("%s", aErrMsg[iErr]);
+ return SQLITE_ERROR;
+ }
+
+ sqlite3_vtab_config(db, SQLITE_VTAB_CONSTRAINT_SUPPORT, 1);
+
+ /* Allocate the sqlite3_vtab structure */
+ nDb = (int)strlen(argv[1]);
+ nName = (int)strlen(argv[2]);
+ pRtree = (Rtree *)sqlite3_malloc(sizeof(Rtree)+nDb+nName+2);
+ if( !pRtree ){
+ return SQLITE_NOMEM;
+ }
+ memset(pRtree, 0, sizeof(Rtree)+nDb+nName+2);
+ pRtree->nBusy = 1;
+ pRtree->base.pModule = &rtreeModule;
+ pRtree->zDb = (char *)&pRtree[1];
+ pRtree->zName = &pRtree->zDb[nDb+1];
+ pRtree->nDim = (argc-4)/2;
+ pRtree->nBytesPerCell = 8 + pRtree->nDim*4*2;
+ pRtree->eCoordType = eCoordType;
+ memcpy(pRtree->zDb, argv[1], nDb);
+ memcpy(pRtree->zName, argv[2], nName);
+
+ /* Figure out the node size to use. */
+ rc = getNodeSize(db, pRtree, isCreate, pzErr);
+
+ /* Create/Connect to the underlying relational database schema. If
+ ** that is successful, call sqlite3_declare_vtab() to configure
+ ** the r-tree table schema.
+ */
+ if( rc==SQLITE_OK ){
+ if( (rc = rtreeSqlInit(pRtree, db, argv[1], argv[2], isCreate)) ){
+ *pzErr = sqlite3_mprintf("%s", sqlite3_errmsg(db));
+ }else{
+ char *zSql = sqlite3_mprintf("CREATE TABLE x(%s", argv[3]);
+ char *zTmp;
+ int ii;
+ for(ii=4; zSql && ii<argc; ii++){
+ zTmp = zSql;
+ zSql = sqlite3_mprintf("%s, %s", zTmp, argv[ii]);
+ sqlite3_free(zTmp);
+ }
+ if( zSql ){
+ zTmp = zSql;
+ zSql = sqlite3_mprintf("%s);", zTmp);
+ sqlite3_free(zTmp);
+ }
+ if( !zSql ){
+ rc = SQLITE_NOMEM;
+ }else if( SQLITE_OK!=(rc = sqlite3_declare_vtab(db, zSql)) ){
+ *pzErr = sqlite3_mprintf("%s", sqlite3_errmsg(db));
+ }
+ sqlite3_free(zSql);
+ }
+ }
+
+ if( rc==SQLITE_OK ){
+ *ppVtab = (sqlite3_vtab *)pRtree;
+ }else{
+ assert( *ppVtab==0 );
+ assert( pRtree->nBusy==1 );
+ rtreeRelease(pRtree);
+ }
+ return rc;
+}
+
+
+/*
+** Implementation of a scalar function that decodes r-tree nodes to
+** human readable strings. This can be used for debugging and analysis.
+**
+** The scalar function takes two arguments: (1) the number of dimensions
+** to the rtree (between 1 and 5, inclusive) and (2) a blob of data containing
+** an r-tree node. For a two-dimensional r-tree structure called "rt", to
+** deserialize all nodes, a statement like:
+**
+** SELECT rtreenode(2, data) FROM rt_node;
+**
+** The human readable string takes the form of a Tcl list with one
+** entry for each cell in the r-tree node. Each entry is itself a
+** list, containing the 8-byte rowid/pageno followed by the
+** <num-dimension>*2 coordinates.
+*/
+static void rtreenode(sqlite3_context *ctx, int nArg, sqlite3_value **apArg){
+ char *zText = 0;
+ RtreeNode node;
+ Rtree tree;
+ int ii;
+
+ UNUSED_PARAMETER(nArg);
+ memset(&node, 0, sizeof(RtreeNode));
+ memset(&tree, 0, sizeof(Rtree));
+ tree.nDim = sqlite3_value_int(apArg[0]);
+ tree.nBytesPerCell = 8 + 8 * tree.nDim;
+ node.zData = (u8 *)sqlite3_value_blob(apArg[1]);
+
+ for(ii=0; ii<NCELL(&node); ii++){
+ char zCell[512];
+ int nCell = 0;
+ RtreeCell cell;
+ int jj;
+
+ nodeGetCell(&tree, &node, ii, &cell);
+ sqlite3_snprintf(512-nCell,&zCell[nCell],"%lld", cell.iRowid);
+ nCell = (int)strlen(zCell);
+ for(jj=0; jj<tree.nDim*2; jj++){
+#ifndef SQLITE_RTREE_INT_ONLY
+ sqlite3_snprintf(512-nCell,&zCell[nCell], " %g",
+ (double)cell.aCoord[jj].f);
+#else
+ sqlite3_snprintf(512-nCell,&zCell[nCell], " %d",
+ cell.aCoord[jj].i);
+#endif
+ nCell = (int)strlen(zCell);
+ }
+
+ if( zText ){
+ char *zTextNew = sqlite3_mprintf("%s {%s}", zText, zCell);
+ sqlite3_free(zText);
+ zText = zTextNew;
+ }else{
+ zText = sqlite3_mprintf("{%s}", zCell);
+ }
+ }
+
+ sqlite3_result_text(ctx, zText, -1, sqlite3_free);
+}
+
+/* This routine implements an SQL function that returns the "depth" parameter
+** from the front of a blob that is an r-tree node. For example:
+**
+** SELECT rtreedepth(data) FROM rt_node WHERE nodeno=1;
+**
+** The depth value is 0 for all nodes other than the root node, and the root
+** node always has nodeno=1, so the example above is the primary use for this
+** routine. This routine is intended for testing and analysis only.
+*/
+static void rtreedepth(sqlite3_context *ctx, int nArg, sqlite3_value **apArg){
+ UNUSED_PARAMETER(nArg);
+ if( sqlite3_value_type(apArg[0])!=SQLITE_BLOB
+ || sqlite3_value_bytes(apArg[0])<2
+ ){
+ sqlite3_result_error(ctx, "Invalid argument to rtreedepth()", -1);
+ }else{
+ u8 *zBlob = (u8 *)sqlite3_value_blob(apArg[0]);
+ sqlite3_result_int(ctx, readInt16(zBlob));
+ }
+}
+
+/*
+** Register the r-tree module with database handle db. This creates the
+** virtual table module "rtree" and the debugging/analysis scalar
+** function "rtreenode".
+*/
+int sqlite3RtreeInit(sqlite3 *db){
+ const int utf8 = SQLITE_UTF8;
+ int rc;
+
+ rc = sqlite3_create_function(db, "rtreenode", 2, utf8, 0, rtreenode, 0, 0);
+ if( rc==SQLITE_OK ){
+ rc = sqlite3_create_function(db, "rtreedepth", 1, utf8, 0,rtreedepth, 0, 0);
+ }
+ if( rc==SQLITE_OK ){
+#ifdef SQLITE_RTREE_INT_ONLY
+ void *c = (void *)RTREE_COORD_INT32;
+#else
+ void *c = (void *)RTREE_COORD_REAL32;
+#endif
+ rc = sqlite3_create_module_v2(db, "rtree", &rtreeModule, c, 0);
+ }
+ if( rc==SQLITE_OK ){
+ void *c = (void *)RTREE_COORD_INT32;
+ rc = sqlite3_create_module_v2(db, "rtree_i32", &rtreeModule, c, 0);
+ }
+
+ return rc;
+}
+
+/*
+** This routine deletes the RtreeGeomCallback object that was attached
+** one of the SQL functions create by sqlite3_rtree_geometry_callback()
+** or sqlite3_rtree_query_callback(). In other words, this routine is the
+** destructor for an RtreeGeomCallback objecct. This routine is called when
+** the corresponding SQL function is deleted.
+*/
+static void rtreeFreeCallback(void *p){
+ RtreeGeomCallback *pInfo = (RtreeGeomCallback*)p;
+ if( pInfo->xDestructor ) pInfo->xDestructor(pInfo->pContext);
+ sqlite3_free(p);
+}
+
+/*
+** Each call to sqlite3_rtree_geometry_callback() or
+** sqlite3_rtree_query_callback() creates an ordinary SQLite
+** scalar function that is implemented by this routine.
+**
+** All this function does is construct an RtreeMatchArg object that
+** contains the geometry-checking callback routines and a list of
+** parameters to this function, then return that RtreeMatchArg object
+** as a BLOB.
+**
+** The R-Tree MATCH operator will read the returned BLOB, deserialize
+** the RtreeMatchArg object, and use the RtreeMatchArg object to figure
+** out which elements of the R-Tree should be returned by the query.
+*/
+static void geomCallback(sqlite3_context *ctx, int nArg, sqlite3_value **aArg){
+ RtreeGeomCallback *pGeomCtx = (RtreeGeomCallback *)sqlite3_user_data(ctx);
+ RtreeMatchArg *pBlob;
+ int nBlob;
+
+ nBlob = sizeof(RtreeMatchArg) + (nArg-1)*sizeof(RtreeDValue);
+ pBlob = (RtreeMatchArg *)sqlite3_malloc(nBlob);
+ if( !pBlob ){
+ sqlite3_result_error_nomem(ctx);
+ }else{
+ int i;
+ pBlob->magic = RTREE_GEOMETRY_MAGIC;
+ pBlob->cb = pGeomCtx[0];
+ pBlob->nParam = nArg;
+ for(i=0; i<nArg; i++){
+#ifdef SQLITE_RTREE_INT_ONLY
+ pBlob->aParam[i] = sqlite3_value_int64(aArg[i]);
+#else
+ pBlob->aParam[i] = sqlite3_value_double(aArg[i]);
+#endif
+ }
+ sqlite3_result_blob(ctx, pBlob, nBlob, sqlite3_free);
+ }
+}
+
+/*
+** Register a new geometry function for use with the r-tree MATCH operator.
+*/
+int sqlite3_rtree_geometry_callback(
+ sqlite3 *db, /* Register SQL function on this connection */
+ const char *zGeom, /* Name of the new SQL function */
+ int (*xGeom)(sqlite3_rtree_geometry*,int,RtreeDValue*,int*), /* Callback */
+ void *pContext /* Extra data associated with the callback */
+){
+ RtreeGeomCallback *pGeomCtx; /* Context object for new user-function */
+
+ /* Allocate and populate the context object. */
+ pGeomCtx = (RtreeGeomCallback *)sqlite3_malloc(sizeof(RtreeGeomCallback));
+ if( !pGeomCtx ) return SQLITE_NOMEM;
+ pGeomCtx->xGeom = xGeom;
+ pGeomCtx->xQueryFunc = 0;
+ pGeomCtx->xDestructor = 0;
+ pGeomCtx->pContext = pContext;
+ return sqlite3_create_function_v2(db, zGeom, -1, SQLITE_ANY,
+ (void *)pGeomCtx, geomCallback, 0, 0, rtreeFreeCallback
+ );
+}
+
+/*
+** Register a new 2nd-generation geometry function for use with the
+** r-tree MATCH operator.
+*/
+int sqlite3_rtree_query_callback(
+ sqlite3 *db, /* Register SQL function on this connection */
+ const char *zQueryFunc, /* Name of new SQL function */
+ int (*xQueryFunc)(sqlite3_rtree_query_info*), /* Callback */
+ void *pContext, /* Extra data passed into the callback */
+ void (*xDestructor)(void*) /* Destructor for the extra data */
+){
+ RtreeGeomCallback *pGeomCtx; /* Context object for new user-function */
+
+ /* Allocate and populate the context object. */
+ pGeomCtx = (RtreeGeomCallback *)sqlite3_malloc(sizeof(RtreeGeomCallback));
+ if( !pGeomCtx ) return SQLITE_NOMEM;
+ pGeomCtx->xGeom = 0;
+ pGeomCtx->xQueryFunc = xQueryFunc;
+ pGeomCtx->xDestructor = xDestructor;
+ pGeomCtx->pContext = pContext;
+ return sqlite3_create_function_v2(db, zQueryFunc, -1, SQLITE_ANY,
+ (void *)pGeomCtx, geomCallback, 0, 0, rtreeFreeCallback
+ );
+}
+
+#if !SQLITE_CORE
+#ifdef _WIN32
+__declspec(dllexport)
+#endif
+int sqlite3_rtree_init(
+ sqlite3 *db,
+ char **pzErrMsg,
+ const sqlite3_api_routines *pApi
+){
+ SQLITE_EXTENSION_INIT2(pApi)
+ return sqlite3RtreeInit(db);
+}
+#endif
+
+#endif
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