Imported Upstream version 2.0.3

1 files changed, 1120 insertions, 0 deletions

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+/*
+** 2005 July 8
+**
+** 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 associated with the ANALYZE command.
+**
+** The ANALYZE command gather statistics about the content of tables
+** and indices.  These statistics are made available to the query planner
+** to help it make better decisions about how to perform queries.
+**
+** The following system tables are or have been supported:
+**
+**    CREATE TABLE sqlite_stat1(tbl, idx, stat);
+**    CREATE TABLE sqlite_stat2(tbl, idx, sampleno, sample);
+**    CREATE TABLE sqlite_stat3(tbl, idx, nEq, nLt, nDLt, sample);
+**
+** Additional tables might be added in future releases of SQLite.
+** The sqlite_stat2 table is not created or used unless the SQLite version
+** is between 3.6.18 and 3.7.8, inclusive, and unless SQLite is compiled
+** with SQLITE_ENABLE_STAT2.  The sqlite_stat2 table is deprecated.
+** The sqlite_stat2 table is superceded by sqlite_stat3, which is only
+** created and used by SQLite versions 3.7.9 and later and with
+** SQLITE_ENABLE_STAT3 defined.  The fucntionality of sqlite_stat3
+** is a superset of sqlite_stat2.  
+**
+** Format of sqlite_stat1:
+**
+** There is normally one row per index, with the index identified by the
+** name in the idx column.  The tbl column is the name of the table to
+** which the index belongs.  In each such row, the stat column will be
+** a string consisting of a list of integers.  The first integer in this
+** list is the number of rows in the index and in the table.  The second
+** integer is the average number of rows in the index that have the same
+** value in the first column of the index.  The third integer is the average
+** number of rows in the index that have the same value for the first two
+** columns.  The N-th integer (for N>1) is the average number of rows in 
+** the index which have the same value for the first N-1 columns.  For
+** a K-column index, there will be K+1 integers in the stat column.  If
+** the index is unique, then the last integer will be 1.
+**
+** The list of integers in the stat column can optionally be followed
+** by the keyword "unordered".  The "unordered" keyword, if it is present,
+** must be separated from the last integer by a single space.  If the
+** "unordered" keyword is present, then the query planner assumes that
+** the index is unordered and will not use the index for a range query.
+** 
+** If the sqlite_stat1.idx column is NULL, then the sqlite_stat1.stat
+** column contains a single integer which is the (estimated) number of
+** rows in the table identified by sqlite_stat1.tbl.
+**
+** Format of sqlite_stat2:
+**
+** The sqlite_stat2 is only created and is only used if SQLite is compiled
+** with SQLITE_ENABLE_STAT2 and if the SQLite version number is between
+** 3.6.18 and 3.7.8.  The "stat2" table contains additional information
+** about the distribution of keys within an index.  The index is identified by
+** the "idx" column and the "tbl" column is the name of the table to which
+** the index belongs.  There are usually 10 rows in the sqlite_stat2
+** table for each index.
+**
+** The sqlite_stat2 entries for an index that have sampleno between 0 and 9
+** inclusive are samples of the left-most key value in the index taken at
+** evenly spaced points along the index.  Let the number of samples be S
+** (10 in the standard build) and let C be the number of rows in the index.
+** Then the sampled rows are given by:
+**
+**     rownumber = (i*C*2 + C)/(S*2)
+**
+** For i between 0 and S-1.  Conceptually, the index space is divided into
+** S uniform buckets and the samples are the middle row from each bucket.
+**
+** The format for sqlite_stat2 is recorded here for legacy reference.  This
+** version of SQLite does not support sqlite_stat2.  It neither reads nor
+** writes the sqlite_stat2 table.  This version of SQLite only supports
+** sqlite_stat3.
+**
+** Format for sqlite_stat3:
+**
+** The sqlite_stat3 is an enhancement to sqlite_stat2.  A new name is
+** used to avoid compatibility problems.  
+**
+** The format of the sqlite_stat3 table is similar to the format of
+** the sqlite_stat2 table.  There are multiple entries for each index.
+** The idx column names the index and the tbl column is the table of the
+** index.  If the idx and tbl columns are the same, then the sample is
+** of the INTEGER PRIMARY KEY.  The sample column is a value taken from
+** the left-most column of the index.  The nEq column is the approximate
+** number of entires in the index whose left-most column exactly matches
+** the sample.  nLt is the approximate number of entires whose left-most
+** column is less than the sample.  The nDLt column is the approximate
+** number of distinct left-most entries in the index that are less than
+** the sample.
+**
+** Future versions of SQLite might change to store a string containing
+** multiple integers values in the nDLt column of sqlite_stat3.  The first
+** integer will be the number of prior index entires that are distinct in
+** the left-most column.  The second integer will be the number of prior index
+** entries that are distinct in the first two columns.  The third integer
+** will be the number of prior index entries that are distinct in the first
+** three columns.  And so forth.  With that extension, the nDLt field is
+** similar in function to the sqlite_stat1.stat field.
+**
+** There can be an arbitrary number of sqlite_stat3 entries per index.
+** The ANALYZE command will typically generate sqlite_stat3 tables
+** that contain between 10 and 40 samples which are distributed across
+** the key space, though not uniformly, and which include samples with
+** largest possible nEq values.
+*/
+#ifndef SQLITE_OMIT_ANALYZE
+#include "sqliteInt.h"
+
+/*
+** This routine generates code that opens the sqlite_stat1 table for
+** writing with cursor iStatCur. If the library was built with the
+** SQLITE_ENABLE_STAT3 macro defined, then the sqlite_stat3 table is
+** opened for writing using cursor (iStatCur+1)
+**
+** If the sqlite_stat1 tables does not previously exist, it is created.
+** Similarly, if the sqlite_stat3 table does not exist and the library
+** is compiled with SQLITE_ENABLE_STAT3 defined, it is created. 
+**
+** Argument zWhere may be a pointer to a buffer containing a table name,
+** or it may be a NULL pointer. If it is not NULL, then all entries in
+** the sqlite_stat1 and (if applicable) sqlite_stat3 tables associated
+** with the named table are deleted. If zWhere==0, then code is generated
+** to delete all stat table entries.
+*/
+static void openStatTable(
+  Parse *pParse,          /* Parsing context */
+  int iDb,                /* The database we are looking in */
+  int iStatCur,           /* Open the sqlite_stat1 table on this cursor */
+  const char *zWhere,     /* Delete entries for this table or index */
+  const char *zWhereType  /* Either "tbl" or "idx" */
+){
+  static const struct {
+    const char *zName;
+    const char *zCols;
+  } aTable[] = {
+    { "sqlite_stat1", "tbl,idx,stat" },
+#ifdef SQLITE_ENABLE_STAT3
+    { "sqlite_stat3", "tbl,idx,neq,nlt,ndlt,sample" },
+#endif
+  };
+
+  int aRoot[] = {0, 0};
+  u8 aCreateTbl[] = {0, 0};
+
+  int i;
+  sqlite3 *db = pParse->db;
+  Db *pDb;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  if( v==0 ) return;
+  assert( sqlite3BtreeHoldsAllMutexes(db) );
+  assert( sqlite3VdbeDb(v)==db );
+  pDb = &db->aDb[iDb];
+
+  /* Create new statistic tables if they do not exist, or clear them
+  ** if they do already exist.
+  */
+  for(i=0; i<ArraySize(aTable); i++){
+    const char *zTab = aTable[i].zName;
+    Table *pStat;
+    if( (pStat = sqlite3FindTable(db, zTab, pDb->zName))==0 ){
+      /* The sqlite_stat[12] table does not exist. Create it. Note that a 
+      ** side-effect of the CREATE TABLE statement is to leave the rootpage 
+      ** of the new table in register pParse->regRoot. This is important 
+      ** because the OpenWrite opcode below will be needing it. */
+      sqlite3NestedParse(pParse,
+          "CREATE TABLE %Q.%s(%s)", pDb->zName, zTab, aTable[i].zCols
+      );
+      aRoot[i] = pParse->regRoot;
+      aCreateTbl[i] = 1;
+    }else{
+      /* The table already exists. If zWhere is not NULL, delete all entries 
+      ** associated with the table zWhere. If zWhere is NULL, delete the
+      ** entire contents of the table. */
+      aRoot[i] = pStat->tnum;
+      sqlite3TableLock(pParse, iDb, aRoot[i], 1, zTab);
+      if( zWhere ){
+        sqlite3NestedParse(pParse,
+           "DELETE FROM %Q.%s WHERE %s=%Q", pDb->zName, zTab, zWhereType, zWhere
+        );
+      }else{
+        /* The sqlite_stat[12] table already exists.  Delete all rows. */
+        sqlite3VdbeAddOp2(v, OP_Clear, aRoot[i], iDb);
+      }
+    }
+  }
+
+  /* Open the sqlite_stat[13] tables for writing. */
+  for(i=0; i<ArraySize(aTable); i++){
+    sqlite3VdbeAddOp3(v, OP_OpenWrite, iStatCur+i, aRoot[i], iDb);
+    sqlite3VdbeChangeP4(v, -1, (char *)3, P4_INT32);
+    sqlite3VdbeChangeP5(v, aCreateTbl[i]);
+  }
+}
+
+/*
+** Recommended number of samples for sqlite_stat3
+*/
+#ifndef SQLITE_STAT3_SAMPLES
+# define SQLITE_STAT3_SAMPLES 24
+#endif
+
+/*
+** Three SQL functions - stat3_init(), stat3_push(), and stat3_pop() -
+** share an instance of the following structure to hold their state
+** information.
+*/
+typedef struct Stat3Accum Stat3Accum;
+struct Stat3Accum {
+  tRowcnt nRow;             /* Number of rows in the entire table */
+  tRowcnt nPSample;         /* How often to do a periodic sample */
+  int iMin;                 /* Index of entry with minimum nEq and hash */
+  int mxSample;             /* Maximum number of samples to accumulate */
+  int nSample;              /* Current number of samples */
+  u32 iPrn;                 /* Pseudo-random number used for sampling */
+  struct Stat3Sample {
+    i64 iRowid;                /* Rowid in main table of the key */
+    tRowcnt nEq;               /* sqlite_stat3.nEq */
+    tRowcnt nLt;               /* sqlite_stat3.nLt */
+    tRowcnt nDLt;              /* sqlite_stat3.nDLt */
+    u8 isPSample;              /* True if a periodic sample */
+    u32 iHash;                 /* Tiebreaker hash */
+  } *a;                     /* An array of samples */
+};
+
+#ifdef SQLITE_ENABLE_STAT3
+/*
+** Implementation of the stat3_init(C,S) SQL function.  The two parameters
+** are the number of rows in the table or index (C) and the number of samples
+** to accumulate (S).
+**
+** This routine allocates the Stat3Accum object.
+**
+** The return value is the Stat3Accum object (P).
+*/
+static void stat3Init(
+  sqlite3_context *context,
+  int argc,
+  sqlite3_value **argv
+){
+  Stat3Accum *p;
+  tRowcnt nRow;
+  int mxSample;
+  int n;
+
+  UNUSED_PARAMETER(argc);
+  nRow = (tRowcnt)sqlite3_value_int64(argv[0]);
+  mxSample = sqlite3_value_int(argv[1]);
+  n = sizeof(*p) + sizeof(p->a[0])*mxSample;
+  p = sqlite3_malloc( n );
+  if( p==0 ){
+    sqlite3_result_error_nomem(context);
+    return;
+  }
+  memset(p, 0, n);
+  p->a = (struct Stat3Sample*)&p[1];
+  p->nRow = nRow;
+  p->mxSample = mxSample;
+  p->nPSample = p->nRow/(mxSample/3+1) + 1;
+  sqlite3_randomness(sizeof(p->iPrn), &p->iPrn);
+  sqlite3_result_blob(context, p, sizeof(p), sqlite3_free);
+}
+static const FuncDef stat3InitFuncdef = {
+  2,                /* nArg */
+  SQLITE_UTF8,      /* iPrefEnc */
+  0,                /* flags */
+  0,                /* pUserData */
+  0,                /* pNext */
+  stat3Init,        /* xFunc */
+  0,                /* xStep */
+  0,                /* xFinalize */
+  "stat3_init",     /* zName */
+  0,                /* pHash */
+  0                 /* pDestructor */
+};
+
+
+/*
+** Implementation of the stat3_push(nEq,nLt,nDLt,rowid,P) SQL function.  The
+** arguments describe a single key instance.  This routine makes the 
+** decision about whether or not to retain this key for the sqlite_stat3
+** table.
+**
+** The return value is NULL.
+*/
+static void stat3Push(
+  sqlite3_context *context,
+  int argc,
+  sqlite3_value **argv
+){
+  Stat3Accum *p = (Stat3Accum*)sqlite3_value_blob(argv[4]);
+  tRowcnt nEq = sqlite3_value_int64(argv[0]);
+  tRowcnt nLt = sqlite3_value_int64(argv[1]);
+  tRowcnt nDLt = sqlite3_value_int64(argv[2]);
+  i64 rowid = sqlite3_value_int64(argv[3]);
+  u8 isPSample = 0;
+  u8 doInsert = 0;
+  int iMin = p->iMin;
+  struct Stat3Sample *pSample;
+  int i;
+  u32 h;
+
+  UNUSED_PARAMETER(context);
+  UNUSED_PARAMETER(argc);
+  if( nEq==0 ) return;
+  h = p->iPrn = p->iPrn*1103515245 + 12345;
+  if( (nLt/p->nPSample)!=((nEq+nLt)/p->nPSample) ){
+    doInsert = isPSample = 1;
+  }else if( p->nSample<p->mxSample ){
+    doInsert = 1;
+  }else{
+    if( nEq>p->a[iMin].nEq || (nEq==p->a[iMin].nEq && h>p->a[iMin].iHash) ){
+      doInsert = 1;
+    }
+  }
+  if( !doInsert ) return;
+  if( p->nSample==p->mxSample ){
+    assert( p->nSample - iMin - 1 >= 0 );
+    memmove(&p->a[iMin], &p->a[iMin+1], sizeof(p->a[0])*(p->nSample-iMin-1));
+    pSample = &p->a[p->nSample-1];
+  }else{
+    pSample = &p->a[p->nSample++];
+  }
+  pSample->iRowid = rowid;
+  pSample->nEq = nEq;
+  pSample->nLt = nLt;
+  pSample->nDLt = nDLt;
+  pSample->iHash = h;
+  pSample->isPSample = isPSample;
+
+  /* Find the new minimum */
+  if( p->nSample==p->mxSample ){
+    pSample = p->a;
+    i = 0;
+    while( pSample->isPSample ){
+      i++;
+      pSample++;
+      assert( i<p->nSample );
+    }
+    nEq = pSample->nEq;
+    h = pSample->iHash;
+    iMin = i;
+    for(i++, pSample++; i<p->nSample; i++, pSample++){
+      if( pSample->isPSample ) continue;
+      if( pSample->nEq<nEq
+       || (pSample->nEq==nEq && pSample->iHash<h)
+      ){
+        iMin = i;
+        nEq = pSample->nEq;
+        h = pSample->iHash;
+      }
+    }
+    p->iMin = iMin;
+  }
+}
+static const FuncDef stat3PushFuncdef = {
+  5,                /* nArg */
+  SQLITE_UTF8,      /* iPrefEnc */
+  0,                /* flags */
+  0,                /* pUserData */
+  0,                /* pNext */
+  stat3Push,        /* xFunc */
+  0,                /* xStep */
+  0,                /* xFinalize */
+  "stat3_push",     /* zName */
+  0,                /* pHash */
+  0                 /* pDestructor */
+};
+
+/*
+** Implementation of the stat3_get(P,N,...) SQL function.  This routine is
+** used to query the results.  Content is returned for the Nth sqlite_stat3
+** row where N is between 0 and S-1 and S is the number of samples.  The
+** value returned depends on the number of arguments.
+**
+**   argc==2    result:  rowid
+**   argc==3    result:  nEq
+**   argc==4    result:  nLt
+**   argc==5    result:  nDLt
+*/
+static void stat3Get(
+  sqlite3_context *context,
+  int argc,
+  sqlite3_value **argv
+){
+  int n = sqlite3_value_int(argv[1]);
+  Stat3Accum *p = (Stat3Accum*)sqlite3_value_blob(argv[0]);
+
+  assert( p!=0 );
+  if( p->nSample<=n ) return;
+  switch( argc ){
+    case 2:  sqlite3_result_int64(context, p->a[n].iRowid); break;
+    case 3:  sqlite3_result_int64(context, p->a[n].nEq);    break;
+    case 4:  sqlite3_result_int64(context, p->a[n].nLt);    break;
+    default: sqlite3_result_int64(context, p->a[n].nDLt);   break;
+  }
+}
+static const FuncDef stat3GetFuncdef = {
+  -1,               /* nArg */
+  SQLITE_UTF8,      /* iPrefEnc */
+  0,                /* flags */
+  0,                /* pUserData */
+  0,                /* pNext */
+  stat3Get,         /* xFunc */
+  0,                /* xStep */
+  0,                /* xFinalize */
+  "stat3_get",     /* zName */
+  0,                /* pHash */
+  0                 /* pDestructor */
+};
+#endif /* SQLITE_ENABLE_STAT3 */
+
+
+
+
+/*
+** Generate code to do an analysis of all indices associated with
+** a single table.
+*/
+static void analyzeOneTable(
+  Parse *pParse,   /* Parser context */
+  Table *pTab,     /* Table whose indices are to be analyzed */
+  Index *pOnlyIdx, /* If not NULL, only analyze this one index */
+  int iStatCur,    /* Index of VdbeCursor that writes the sqlite_stat1 table */
+  int iMem         /* Available memory locations begin here */
+){
+  sqlite3 *db = pParse->db;    /* Database handle */
+  Index *pIdx;                 /* An index to being analyzed */
+  int iIdxCur;                 /* Cursor open on index being analyzed */
+  Vdbe *v;                     /* The virtual machine being built up */
+  int i;                       /* Loop counter */
+  int topOfLoop;               /* The top of the loop */
+  int endOfLoop;               /* The end of the loop */
+  int jZeroRows = -1;          /* Jump from here if number of rows is zero */
+  int iDb;                     /* Index of database containing pTab */
+  int regTabname = iMem++;     /* Register containing table name */
+  int regIdxname = iMem++;     /* Register containing index name */
+  int regStat1 = iMem++;       /* The stat column of sqlite_stat1 */
+#ifdef SQLITE_ENABLE_STAT3
+  int regNumEq = regStat1;     /* Number of instances.  Same as regStat1 */
+  int regNumLt = iMem++;       /* Number of keys less than regSample */
+  int regNumDLt = iMem++;      /* Number of distinct keys less than regSample */
+  int regSample = iMem++;      /* The next sample value */
+  int regRowid = regSample;    /* Rowid of a sample */
+  int regAccum = iMem++;       /* Register to hold Stat3Accum object */
+  int regLoop = iMem++;        /* Loop counter */
+  int regCount = iMem++;       /* Number of rows in the table or index */
+  int regTemp1 = iMem++;       /* Intermediate register */
+  int regTemp2 = iMem++;       /* Intermediate register */
+  int once = 1;                /* One-time initialization */
+  int shortJump = 0;           /* Instruction address */
+  int iTabCur = pParse->nTab++; /* Table cursor */
+#endif
+  int regCol = iMem++;         /* Content of a column in analyzed table */
+  int regRec = iMem++;         /* Register holding completed record */
+  int regTemp = iMem++;        /* Temporary use register */
+  int regNewRowid = iMem++;    /* Rowid for the inserted record */
+
+
+  v = sqlite3GetVdbe(pParse);
+  if( v==0 || NEVER(pTab==0) ){
+    return;
+  }
+  if( pTab->tnum==0 ){
+    /* Do not gather statistics on views or virtual tables */
+    return;
+  }
+  if( memcmp(pTab->zName, "sqlite_", 7)==0 ){
+    /* Do not gather statistics on system tables */
+    return;
+  }
+  assert( sqlite3BtreeHoldsAllMutexes(db) );
+  iDb = sqlite3SchemaToIndex(db, pTab->pSchema);
+  assert( iDb>=0 );
+  assert( sqlite3SchemaMutexHeld(db, iDb, 0) );
+#ifndef SQLITE_OMIT_AUTHORIZATION
+  if( sqlite3AuthCheck(pParse, SQLITE_ANALYZE, pTab->zName, 0,
+      db->aDb[iDb].zName ) ){
+    return;
+  }
+#endif
+
+  /* Establish a read-lock on the table at the shared-cache level. */
+  sqlite3TableLock(pParse, iDb, pTab->tnum, 0, pTab->zName);
+
+  iIdxCur = pParse->nTab++;
+  sqlite3VdbeAddOp4(v, OP_String8, 0, regTabname, 0, pTab->zName, 0);
+  for(pIdx=pTab->pIndex; pIdx; pIdx=pIdx->pNext){
+    int nCol;
+    KeyInfo *pKey;
+    int addrIfNot = 0;           /* address of OP_IfNot */
+    int *aChngAddr;              /* Array of jump instruction addresses */
+
+    if( pOnlyIdx && pOnlyIdx!=pIdx ) continue;
+    VdbeNoopComment((v, "Begin analysis of %s", pIdx->zName));
+    nCol = pIdx->nColumn;
+    aChngAddr = sqlite3DbMallocRaw(db, sizeof(int)*nCol);
+    if( aChngAddr==0 ) continue;
+    pKey = sqlite3IndexKeyinfo(pParse, pIdx);
+    if( iMem+1+(nCol*2)>pParse->nMem ){
+      pParse->nMem = iMem+1+(nCol*2);
+    }
+
+    /* Open a cursor to the index to be analyzed. */
+    assert( iDb==sqlite3SchemaToIndex(db, pIdx->pSchema) );
+    sqlite3VdbeAddOp4(v, OP_OpenRead, iIdxCur, pIdx->tnum, iDb,
+        (char *)pKey, P4_KEYINFO_HANDOFF);
+    VdbeComment((v, "%s", pIdx->zName));
+
+    /* Populate the register containing the index name. */
+    sqlite3VdbeAddOp4(v, OP_String8, 0, regIdxname, 0, pIdx->zName, 0);
+
+#ifdef SQLITE_ENABLE_STAT3
+    if( once ){
+      once = 0;
+      sqlite3OpenTable(pParse, iTabCur, iDb, pTab, OP_OpenRead);
+    }
+    sqlite3VdbeAddOp2(v, OP_Count, iIdxCur, regCount);
+    sqlite3VdbeAddOp2(v, OP_Integer, SQLITE_STAT3_SAMPLES, regTemp1);
+    sqlite3VdbeAddOp2(v, OP_Integer, 0, regNumEq);
+    sqlite3VdbeAddOp2(v, OP_Integer, 0, regNumLt);
+    sqlite3VdbeAddOp2(v, OP_Integer, -1, regNumDLt);
+    sqlite3VdbeAddOp4(v, OP_Function, 1, regCount, regAccum,
+                      (char*)&stat3InitFuncdef, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, 2);
+#endif /* SQLITE_ENABLE_STAT3 */
+
+    /* The block of memory cells initialized here is used as follows.
+    **
+    **    iMem:                
+    **        The total number of rows in the table.
+    **
+    **    iMem+1 .. iMem+nCol: 
+    **        Number of distinct entries in index considering the 
+    **        left-most N columns only, where N is between 1 and nCol, 
+    **        inclusive.
+    **
+    **    iMem+nCol+1 .. Mem+2*nCol:  
+    **        Previous value of indexed columns, from left to right.
+    **
+    ** Cells iMem through iMem+nCol are initialized to 0. The others are 
+    ** initialized to contain an SQL NULL.
+    */
+    for(i=0; i<=nCol; i++){
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, iMem+i);
+    }
+    for(i=0; i<nCol; i++){
+      sqlite3VdbeAddOp2(v, OP_Null, 0, iMem+nCol+i+1);
+    }
+
+    /* Start the analysis loop. This loop runs through all the entries in
+    ** the index b-tree.  */
+    endOfLoop = sqlite3VdbeMakeLabel(v);
+    sqlite3VdbeAddOp2(v, OP_Rewind, iIdxCur, endOfLoop);
+    topOfLoop = sqlite3VdbeCurrentAddr(v);
+    sqlite3VdbeAddOp2(v, OP_AddImm, iMem, 1);  /* Increment row counter */
+
+    for(i=0; i<nCol; i++){
+      CollSeq *pColl;
+      sqlite3VdbeAddOp3(v, OP_Column, iIdxCur, i, regCol);
+      if( i==0 ){
+        /* Always record the very first row */
+        addrIfNot = sqlite3VdbeAddOp1(v, OP_IfNot, iMem+1);
+      }
+      assert( pIdx->azColl!=0 );
+      assert( pIdx->azColl[i]!=0 );
+      pColl = sqlite3LocateCollSeq(pParse, pIdx->azColl[i]);
+      aChngAddr[i] = sqlite3VdbeAddOp4(v, OP_Ne, regCol, 0, iMem+nCol+i+1,
+                                      (char*)pColl, P4_COLLSEQ);
+      sqlite3VdbeChangeP5(v, SQLITE_NULLEQ);
+      VdbeComment((v, "jump if column %d changed", i));
+#ifdef SQLITE_ENABLE_STAT3
+      if( i==0 ){
+        sqlite3VdbeAddOp2(v, OP_AddImm, regNumEq, 1);
+        VdbeComment((v, "incr repeat count"));
+      }
+#endif
+    }
+    sqlite3VdbeAddOp2(v, OP_Goto, 0, endOfLoop);
+    for(i=0; i<nCol; i++){
+      sqlite3VdbeJumpHere(v, aChngAddr[i]);  /* Set jump dest for the OP_Ne */
+      if( i==0 ){
+        sqlite3VdbeJumpHere(v, addrIfNot);   /* Jump dest for OP_IfNot */
+#ifdef SQLITE_ENABLE_STAT3
+        sqlite3VdbeAddOp4(v, OP_Function, 1, regNumEq, regTemp2,
+                          (char*)&stat3PushFuncdef, P4_FUNCDEF);
+        sqlite3VdbeChangeP5(v, 5);
+        sqlite3VdbeAddOp3(v, OP_Column, iIdxCur, pIdx->nColumn, regRowid);
+        sqlite3VdbeAddOp3(v, OP_Add, regNumEq, regNumLt, regNumLt);
+        sqlite3VdbeAddOp2(v, OP_AddImm, regNumDLt, 1);
+        sqlite3VdbeAddOp2(v, OP_Integer, 1, regNumEq);
+#endif        
+      }
+      sqlite3VdbeAddOp2(v, OP_AddImm, iMem+i+1, 1);
+      sqlite3VdbeAddOp3(v, OP_Column, iIdxCur, i, iMem+nCol+i+1);
+    }
+    sqlite3DbFree(db, aChngAddr);
+
+    /* Always jump here after updating the iMem+1...iMem+1+nCol counters */
+    sqlite3VdbeResolveLabel(v, endOfLoop);
+
+    sqlite3VdbeAddOp2(v, OP_Next, iIdxCur, topOfLoop);
+    sqlite3VdbeAddOp1(v, OP_Close, iIdxCur);
+#ifdef SQLITE_ENABLE_STAT3
+    sqlite3VdbeAddOp4(v, OP_Function, 1, regNumEq, regTemp2,
+                      (char*)&stat3PushFuncdef, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, 5);
+    sqlite3VdbeAddOp2(v, OP_Integer, -1, regLoop);
+    shortJump = 
+    sqlite3VdbeAddOp2(v, OP_AddImm, regLoop, 1);
+    sqlite3VdbeAddOp4(v, OP_Function, 1, regAccum, regTemp1,
+                      (char*)&stat3GetFuncdef, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, 2);
+    sqlite3VdbeAddOp1(v, OP_IsNull, regTemp1);
+    sqlite3VdbeAddOp3(v, OP_NotExists, iTabCur, shortJump, regTemp1);
+    sqlite3VdbeAddOp3(v, OP_Column, iTabCur, pIdx->aiColumn[0], regSample);
+    sqlite3ColumnDefault(v, pTab, pIdx->aiColumn[0], regSample);
+    sqlite3VdbeAddOp4(v, OP_Function, 1, regAccum, regNumEq,
+                      (char*)&stat3GetFuncdef, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, 3);
+    sqlite3VdbeAddOp4(v, OP_Function, 1, regAccum, regNumLt,
+                      (char*)&stat3GetFuncdef, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, 4);
+    sqlite3VdbeAddOp4(v, OP_Function, 1, regAccum, regNumDLt,
+                      (char*)&stat3GetFuncdef, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, 5);
+    sqlite3VdbeAddOp4(v, OP_MakeRecord, regTabname, 6, regRec, "bbbbbb", 0);
+    sqlite3VdbeAddOp2(v, OP_NewRowid, iStatCur+1, regNewRowid);
+    sqlite3VdbeAddOp3(v, OP_Insert, iStatCur+1, regRec, regNewRowid);
+    sqlite3VdbeAddOp2(v, OP_Goto, 0, shortJump);
+    sqlite3VdbeJumpHere(v, shortJump+2);
+#endif        
+
+    /* Store the results in sqlite_stat1.
+    **
+    ** The result is a single row of the sqlite_stat1 table.  The first
+    ** two columns are the names of the table and index.  The third column
+    ** is a string composed of a list of integer statistics about the
+    ** index.  The first integer in the list is the total number of entries
+    ** in the index.  There is one additional integer in the list for each
+    ** column of the table.  This additional integer is a guess of how many
+    ** rows of the table the index will select.  If D is the count of distinct
+    ** values and K is the total number of rows, then the integer is computed
+    ** as:
+    **
+    **        I = (K+D-1)/D
+    **
+    ** If K==0 then no entry is made into the sqlite_stat1 table.  
+    ** If K>0 then it is always the case the D>0 so division by zero
+    ** is never possible.
+    */
+    sqlite3VdbeAddOp2(v, OP_SCopy, iMem, regStat1);
+    if( jZeroRows<0 ){
+      jZeroRows = sqlite3VdbeAddOp1(v, OP_IfNot, iMem);
+    }
+    for(i=0; i<nCol; i++){
+      sqlite3VdbeAddOp4(v, OP_String8, 0, regTemp, 0, " ", 0);
+      sqlite3VdbeAddOp3(v, OP_Concat, regTemp, regStat1, regStat1);
+      sqlite3VdbeAddOp3(v, OP_Add, iMem, iMem+i+1, regTemp);
+      sqlite3VdbeAddOp2(v, OP_AddImm, regTemp, -1);
+      sqlite3VdbeAddOp3(v, OP_Divide, iMem+i+1, regTemp, regTemp);
+      sqlite3VdbeAddOp1(v, OP_ToInt, regTemp);
+      sqlite3VdbeAddOp3(v, OP_Concat, regTemp, regStat1, regStat1);
+    }
+    sqlite3VdbeAddOp4(v, OP_MakeRecord, regTabname, 3, regRec, "aaa", 0);
+    sqlite3VdbeAddOp2(v, OP_NewRowid, iStatCur, regNewRowid);
+    sqlite3VdbeAddOp3(v, OP_Insert, iStatCur, regRec, regNewRowid);
+    sqlite3VdbeChangeP5(v, OPFLAG_APPEND);
+  }
+
+  /* If the table has no indices, create a single sqlite_stat1 entry
+  ** containing NULL as the index name and the row count as the content.
+  */
+  if( pTab->pIndex==0 ){
+    sqlite3VdbeAddOp3(v, OP_OpenRead, iIdxCur, pTab->tnum, iDb);
+    VdbeComment((v, "%s", pTab->zName));
+    sqlite3VdbeAddOp2(v, OP_Count, iIdxCur, regStat1);
+    sqlite3VdbeAddOp1(v, OP_Close, iIdxCur);
+    jZeroRows = sqlite3VdbeAddOp1(v, OP_IfNot, regStat1);
+  }else{
+    sqlite3VdbeJumpHere(v, jZeroRows);
+    jZeroRows = sqlite3VdbeAddOp0(v, OP_Goto);
+  }
+  sqlite3VdbeAddOp2(v, OP_Null, 0, regIdxname);
+  sqlite3VdbeAddOp4(v, OP_MakeRecord, regTabname, 3, regRec, "aaa", 0);
+  sqlite3VdbeAddOp2(v, OP_NewRowid, iStatCur, regNewRowid);
+  sqlite3VdbeAddOp3(v, OP_Insert, iStatCur, regRec, regNewRowid);
+  sqlite3VdbeChangeP5(v, OPFLAG_APPEND);
+  if( pParse->nMem<regRec ) pParse->nMem = regRec;
+  sqlite3VdbeJumpHere(v, jZeroRows);
+}
+
+
+/*
+** Generate code that will cause the most recent index analysis to
+** be loaded into internal hash tables where is can be used.
+*/
+static void loadAnalysis(Parse *pParse, int iDb){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  if( v ){
+    sqlite3VdbeAddOp1(v, OP_LoadAnalysis, iDb);
+  }
+}
+
+/*
+** Generate code that will do an analysis of an entire database
+*/
+static void analyzeDatabase(Parse *pParse, int iDb){
+  sqlite3 *db = pParse->db;
+  Schema *pSchema = db->aDb[iDb].pSchema;    /* Schema of database iDb */
+  HashElem *k;
+  int iStatCur;
+  int iMem;
+
+  sqlite3BeginWriteOperation(pParse, 0, iDb);
+  iStatCur = pParse->nTab;
+  pParse->nTab += 3;
+  openStatTable(pParse, iDb, iStatCur, 0, 0);
+  iMem = pParse->nMem+1;
+  assert( sqlite3SchemaMutexHeld(db, iDb, 0) );
+  for(k=sqliteHashFirst(&pSchema->tblHash); k; k=sqliteHashNext(k)){
+    Table *pTab = (Table*)sqliteHashData(k);
+    analyzeOneTable(pParse, pTab, 0, iStatCur, iMem);
+  }
+  loadAnalysis(pParse, iDb);
+}
+
+/*
+** Generate code that will do an analysis of a single table in
+** a database.  If pOnlyIdx is not NULL then it is a single index
+** in pTab that should be analyzed.
+*/
+static void analyzeTable(Parse *pParse, Table *pTab, Index *pOnlyIdx){
+  int iDb;
+  int iStatCur;
+
+  assert( pTab!=0 );
+  assert( sqlite3BtreeHoldsAllMutexes(pParse->db) );
+  iDb = sqlite3SchemaToIndex(pParse->db, pTab->pSchema);
+  sqlite3BeginWriteOperation(pParse, 0, iDb);
+  iStatCur = pParse->nTab;
+  pParse->nTab += 3;
+  if( pOnlyIdx ){
+    openStatTable(pParse, iDb, iStatCur, pOnlyIdx->zName, "idx");
+  }else{
+    openStatTable(pParse, iDb, iStatCur, pTab->zName, "tbl");
+  }
+  analyzeOneTable(pParse, pTab, pOnlyIdx, iStatCur, pParse->nMem+1);
+  loadAnalysis(pParse, iDb);
+}
+
+/*
+** Generate code for the ANALYZE command.  The parser calls this routine
+** when it recognizes an ANALYZE command.
+**
+**        ANALYZE                            -- 1
+**        ANALYZE  <database>                -- 2
+**        ANALYZE  ?<database>.?<tablename>  -- 3
+**
+** Form 1 causes all indices in all attached databases to be analyzed.
+** Form 2 analyzes all indices the single database named.
+** Form 3 analyzes all indices associated with the named table.
+*/
+void sqlite3Analyze(Parse *pParse, Token *pName1, Token *pName2){
+  sqlite3 *db = pParse->db;
+  int iDb;
+  int i;
+  char *z, *zDb;
+  Table *pTab;
+  Index *pIdx;
+  Token *pTableName;
+
+  /* Read the database schema. If an error occurs, leave an error message
+  ** and code in pParse and return NULL. */
+  assert( sqlite3BtreeHoldsAllMutexes(pParse->db) );
+  if( SQLITE_OK!=sqlite3ReadSchema(pParse) ){
+    return;
+  }
+
+  assert( pName2!=0 || pName1==0 );
+  if( pName1==0 ){
+    /* Form 1:  Analyze everything */
+    for(i=0; i<db->nDb; i++){
+      if( i==1 ) continue;  /* Do not analyze the TEMP database */
+      analyzeDatabase(pParse, i);
+    }
+  }else if( pName2->n==0 ){
+    /* Form 2:  Analyze the database or table named */
+    iDb = sqlite3FindDb(db, pName1);
+    if( iDb>=0 ){
+      analyzeDatabase(pParse, iDb);
+    }else{
+      z = sqlite3NameFromToken(db, pName1);
+      if( z ){
+        if( (pIdx = sqlite3FindIndex(db, z, 0))!=0 ){
+          analyzeTable(pParse, pIdx->pTable, pIdx);
+        }else if( (pTab = sqlite3LocateTable(pParse, 0, z, 0))!=0 ){
+          analyzeTable(pParse, pTab, 0);
+        }
+        sqlite3DbFree(db, z);
+      }
+    }
+  }else{
+    /* Form 3: Analyze the fully qualified table name */
+    iDb = sqlite3TwoPartName(pParse, pName1, pName2, &pTableName);
+    if( iDb>=0 ){
+      zDb = db->aDb[iDb].zName;
+      z = sqlite3NameFromToken(db, pTableName);
+      if( z ){
+        if( (pIdx = sqlite3FindIndex(db, z, zDb))!=0 ){
+          analyzeTable(pParse, pIdx->pTable, pIdx);
+        }else if( (pTab = sqlite3LocateTable(pParse, 0, z, zDb))!=0 ){
+          analyzeTable(pParse, pTab, 0);
+        }
+        sqlite3DbFree(db, z);
+      }
+    }   
+  }
+}
+
+/*
+** Used to pass information from the analyzer reader through to the
+** callback routine.
+*/
+typedef struct analysisInfo analysisInfo;
+struct analysisInfo {
+  sqlite3 *db;
+  const char *zDatabase;
+};
+
+/*
+** This callback is invoked once for each index when reading the
+** sqlite_stat1 table.  
+**
+**     argv[0] = name of the table
+**     argv[1] = name of the index (might be NULL)
+**     argv[2] = results of analysis - on integer for each column
+**
+** Entries for which argv[1]==NULL simply record the number of rows in
+** the table.
+*/
+static int analysisLoader(void *pData, int argc, char **argv, char **NotUsed){
+  analysisInfo *pInfo = (analysisInfo*)pData;
+  Index *pIndex;
+  Table *pTable;
+  int i, c, n;
+  tRowcnt v;
+  const char *z;
+
+  assert( argc==3 );
+  UNUSED_PARAMETER2(NotUsed, argc);
+
+  if( argv==0 || argv[0]==0 || argv[2]==0 ){
+    return 0;
+  }
+  pTable = sqlite3FindTable(pInfo->db, argv[0], pInfo->zDatabase);
+  if( pTable==0 ){
+    return 0;
+  }
+  if( argv[1] ){
+    pIndex = sqlite3FindIndex(pInfo->db, argv[1], pInfo->zDatabase);
+  }else{
+    pIndex = 0;
+  }
+  n = pIndex ? pIndex->nColumn : 0;
+  z = argv[2];
+  for(i=0; *z && i<=n; i++){
+    v = 0;
+    while( (c=z[0])>='0' && c<='9' ){
+      v = v*10 + c - '0';
+      z++;
+    }
+    if( i==0 ) pTable->nRowEst = v;
+    if( pIndex==0 ) break;
+    pIndex->aiRowEst[i] = v;
+    if( *z==' ' ) z++;
+    if( memcmp(z, "unordered", 10)==0 ){
+      pIndex->bUnordered = 1;
+      break;
+    }
+  }
+  return 0;
+}
+
+/*
+** If the Index.aSample variable is not NULL, delete the aSample[] array
+** and its contents.
+*/
+void sqlite3DeleteIndexSamples(sqlite3 *db, Index *pIdx){
+#ifdef SQLITE_ENABLE_STAT3
+  if( pIdx->aSample ){
+    int j;
+    for(j=0; j<pIdx->nSample; j++){
+      IndexSample *p = &pIdx->aSample[j];
+      if( p->eType==SQLITE_TEXT || p->eType==SQLITE_BLOB ){
+        sqlite3DbFree(db, p->u.z);
+      }
+    }
+    sqlite3DbFree(db, pIdx->aSample);
+  }
+  if( db && db->pnBytesFreed==0 ){
+    pIdx->nSample = 0;
+    pIdx->aSample = 0;
+  }
+#else
+  UNUSED_PARAMETER(db);
+  UNUSED_PARAMETER(pIdx);
+#endif
+}
+
+#ifdef SQLITE_ENABLE_STAT3
+/*
+** Load content from the sqlite_stat3 table into the Index.aSample[]
+** arrays of all indices.
+*/
+static int loadStat3(sqlite3 *db, const char *zDb){
+  int rc;                       /* Result codes from subroutines */
+  sqlite3_stmt *pStmt = 0;      /* An SQL statement being run */
+  char *zSql;                   /* Text of the SQL statement */
+  Index *pPrevIdx = 0;          /* Previous index in the loop */
+  int idx = 0;                  /* slot in pIdx->aSample[] for next sample */
+  int eType;                    /* Datatype of a sample */
+  IndexSample *pSample;         /* A slot in pIdx->aSample[] */
+
+  if( !sqlite3FindTable(db, "sqlite_stat3", zDb) ){
+    return SQLITE_OK;
+  }
+
+  zSql = sqlite3MPrintf(db, 
+      "SELECT idx,count(*) FROM %Q.sqlite_stat3"
+      " GROUP BY idx", zDb);
+  if( !zSql ){
+    return SQLITE_NOMEM;
+  }
+  rc = sqlite3_prepare(db, zSql, -1, &pStmt, 0);
+  sqlite3DbFree(db, zSql);
+  if( rc ) return rc;
+
+  while( sqlite3_step(pStmt)==SQLITE_ROW ){
+    char *zIndex;   /* Index name */
+    Index *pIdx;    /* Pointer to the index object */
+    int nSample;    /* Number of samples */
+
+    zIndex = (char *)sqlite3_column_text(pStmt, 0);
+    if( zIndex==0 ) continue;
+    nSample = sqlite3_column_int(pStmt, 1);
+    pIdx = sqlite3FindIndex(db, zIndex, zDb);
+    if( pIdx==0 ) continue;
+    assert( pIdx->nSample==0 );
+    pIdx->nSample = nSample;
+    pIdx->aSample = sqlite3MallocZero( nSample*sizeof(IndexSample) );
+    pIdx->avgEq = pIdx->aiRowEst[1];
+    if( pIdx->aSample==0 ){
+      db->mallocFailed = 1;
+      sqlite3_finalize(pStmt);
+      return SQLITE_NOMEM;
+    }
+  }
+  rc = sqlite3_finalize(pStmt);
+  if( rc ) return rc;
+
+  zSql = sqlite3MPrintf(db, 
+      "SELECT idx,neq,nlt,ndlt,sample FROM %Q.sqlite_stat3", zDb);
+  if( !zSql ){
+    return SQLITE_NOMEM;
+  }
+  rc = sqlite3_prepare(db, zSql, -1, &pStmt, 0);
+  sqlite3DbFree(db, zSql);
+  if( rc ) return rc;
+
+  while( sqlite3_step(pStmt)==SQLITE_ROW ){
+    char *zIndex;   /* Index name */
+    Index *pIdx;    /* Pointer to the index object */
+    int i;          /* Loop counter */
+    tRowcnt sumEq;  /* Sum of the nEq values */
+
+    zIndex = (char *)sqlite3_column_text(pStmt, 0);
+    if( zIndex==0 ) continue;
+    pIdx = sqlite3FindIndex(db, zIndex, zDb);
+    if( pIdx==0 ) continue;
+    if( pIdx==pPrevIdx ){
+      idx++;
+    }else{
+      pPrevIdx = pIdx;
+      idx = 0;
+    }
+    assert( idx<pIdx->nSample );
+    pSample = &pIdx->aSample[idx];
+    pSample->nEq = (tRowcnt)sqlite3_column_int64(pStmt, 1);
+    pSample->nLt = (tRowcnt)sqlite3_column_int64(pStmt, 2);
+    pSample->nDLt = (tRowcnt)sqlite3_column_int64(pStmt, 3);
+    if( idx==pIdx->nSample-1 ){
+      if( pSample->nDLt>0 ){
+        for(i=0, sumEq=0; i<=idx-1; i++) sumEq += pIdx->aSample[i].nEq;
+        pIdx->avgEq = (pSample->nLt - sumEq)/pSample->nDLt;
+      }
+      if( pIdx->avgEq<=0 ) pIdx->avgEq = 1;
+    }
+    eType = sqlite3_column_type(pStmt, 4);
+    pSample->eType = (u8)eType;
+    switch( eType ){
+      case SQLITE_INTEGER: {
+        pSample->u.i = sqlite3_column_int64(pStmt, 4);
+        break;
+      }
+      case SQLITE_FLOAT: {
+        pSample->u.r = sqlite3_column_double(pStmt, 4);
+        break;
+      }
+      case SQLITE_NULL: {
+        break;
+      }
+      default: assert( eType==SQLITE_TEXT || eType==SQLITE_BLOB ); {
+        const char *z = (const char *)(
+              (eType==SQLITE_BLOB) ?
+              sqlite3_column_blob(pStmt, 4):
+              sqlite3_column_text(pStmt, 4)
+           );
+        int n = z ? sqlite3_column_bytes(pStmt, 4) : 0;
+        pSample->nByte = n;
+        if( n < 1){
+          pSample->u.z = 0;
+        }else{
+          pSample->u.z = sqlite3Malloc(n);
+          if( pSample->u.z==0 ){
+            db->mallocFailed = 1;
+            sqlite3_finalize(pStmt);
+            return SQLITE_NOMEM;
+          }
+          memcpy(pSample->u.z, z, n);
+        }
+      }
+    }
+  }
+  return sqlite3_finalize(pStmt);
+}
+#endif /* SQLITE_ENABLE_STAT3 */
+
+/*
+** Load the content of the sqlite_stat1 and sqlite_stat3 tables. The
+** contents of sqlite_stat1 are used to populate the Index.aiRowEst[]
+** arrays. The contents of sqlite_stat3 are used to populate the
+** Index.aSample[] arrays.
+**
+** If the sqlite_stat1 table is not present in the database, SQLITE_ERROR
+** is returned. In this case, even if SQLITE_ENABLE_STAT3 was defined 
+** during compilation and the sqlite_stat3 table is present, no data is 
+** read from it.
+**
+** If SQLITE_ENABLE_STAT3 was defined during compilation and the 
+** sqlite_stat3 table is not present in the database, SQLITE_ERROR is
+** returned. However, in this case, data is read from the sqlite_stat1
+** table (if it is present) before returning.
+**
+** If an OOM error occurs, this function always sets db->mallocFailed.
+** This means if the caller does not care about other errors, the return
+** code may be ignored.
+*/
+int sqlite3AnalysisLoad(sqlite3 *db, int iDb){
+  analysisInfo sInfo;
+  HashElem *i;
+  char *zSql;
+  int rc;
+
+  assert( iDb>=0 && iDb<db->nDb );
+  assert( db->aDb[iDb].pBt!=0 );
+
+  /* Clear any prior statistics */
+  assert( sqlite3SchemaMutexHeld(db, iDb, 0) );
+  for(i=sqliteHashFirst(&db->aDb[iDb].pSchema->idxHash);i;i=sqliteHashNext(i)){
+    Index *pIdx = sqliteHashData(i);
+    sqlite3DefaultRowEst(pIdx);
+#ifdef SQLITE_ENABLE_STAT3
+    sqlite3DeleteIndexSamples(db, pIdx);
+    pIdx->aSample = 0;
+#endif
+  }
+
+  /* Check to make sure the sqlite_stat1 table exists */
+  sInfo.db = db;
+  sInfo.zDatabase = db->aDb[iDb].zName;
+  if( sqlite3FindTable(db, "sqlite_stat1", sInfo.zDatabase)==0 ){
+    return SQLITE_ERROR;
+  }
+
+  /* Load new statistics out of the sqlite_stat1 table */
+  zSql = sqlite3MPrintf(db, 
+      "SELECT tbl,idx,stat FROM %Q.sqlite_stat1", sInfo.zDatabase);
+  if( zSql==0 ){
+    rc = SQLITE_NOMEM;
+  }else{
+    rc = sqlite3_exec(db, zSql, analysisLoader, &sInfo, 0);
+    sqlite3DbFree(db, zSql);
+  }
+
+
+  /* Load the statistics from the sqlite_stat3 table. */
+#ifdef SQLITE_ENABLE_STAT3
+  if( rc==SQLITE_OK ){
+    rc = loadStat3(db, sInfo.zDatabase);
+  }
+#endif
+
+  if( rc==SQLITE_NOMEM ){
+    db->mallocFailed = 1;
+  }
+  return rc;
+}
+
+
+#endif /* SQLITE_OMIT_ANALYZE */