**
**    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.





























































































*/
#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
................................................................................
      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_STAT2
  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);
  }
#else
  UNUSED_PARAMETER(db);
  UNUSED_PARAMETER(pIdx);
#endif
}
























/*
** Load the content of the sqlite_stat1 and sqlite_stat2 tables. The
** contents of sqlite_stat1 are used to populate the Index.aiRowEst[]
** arrays. The contents of sqlite_stat2 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_STAT2 was defined 
** during compilation and the sqlite_stat2 table is present, no data is 
** read from it.
**
** If SQLITE_ENABLE_STAT2 was defined during compilation and the 
................................................................................
** 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);
    sqlite3DeleteIndexSamples(db, pIdx);
    pIdx->aSample = 0;
    pIdx->nSample = 0;
  }

  /* 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 = sqlite3_exec(db, zSql, analysisLoader, &sInfo, 0);
    sqlite3DbFree(db, zSql);
  }


  /* Load the statistics from the sqlite_stat2 table. */
#ifdef SQLITE_ENABLE_STAT2

  if( rc==SQLITE_OK && !sqlite3FindTable(db, "sqlite_stat2", sInfo.zDatabase) ){
    rc = SQLITE_ERROR;
  }
  if( rc==SQLITE_OK ){
    sqlite3_stmt *pStmt = 0;

    zSql = sqlite3MPrintf(db, 
        "SELECT idx, sampleno, sample FROM %Q.sqlite_stat2"
        " ORDER BY rowid DESC", sInfo.zDatabase);

    if( !zSql ){
      rc = SQLITE_NOMEM;
    }else{
      rc = sqlite3_prepare(db, zSql, -1, &pStmt, 0);
      sqlite3DbFree(db, zSql);
    }

................................................................................
        IndexSample *pSample;

        zIndex = (char *)sqlite3_column_text(pStmt, 0);
        if( zIndex==0 ) continue;
        pIdx = sqlite3FindIndex(db, zIndex, sInfo.zDatabase);
        if( pIdx==0 ) continue;
        iSample = sqlite3_column_int(pStmt, 1);
        if( iSample>=SQLITE_MAX_SAMPLES || iSample<0 ) continue;
        if( pIdx->nSample<=iSample ){
          IndexSample *pNew;
          int sz = sizeof(IndexSample)*(iSample+1);
          pNew = (IndexSample*)sqlite3Realloc(pIdx->aSample, sz);
          if( pNew==0 ){
            db->mallocFailed = 1;
            break;
          }
          pIdx->aSample = pNew;
          pIdx->nSample = iSample+1;
        }

        eType = sqlite3_column_type(pStmt, 2);
        pSample = &pIdx->aSample[iSample];
        pSample->eType = (u8)eType;

        if( eType==SQLITE_INTEGER || eType==SQLITE_FLOAT ){
          pSample->u.r = sqlite3_column_double(pStmt, 2);
        }else if( eType==SQLITE_TEXT || eType==SQLITE_BLOB ){
          const char *z = (const char *)(
             (eType==SQLITE_BLOB) ?
              sqlite3_column_blob(pStmt, 2):
              sqlite3_column_text(pStmt, 2)
          );
          int n = sqlite3_column_bytes(pStmt, 2);
          if( n>24 ) n = 24;
          pSample->nByte = (u8)n;
          if( n < 1){
            pSample->u.z = 0;
          }else{
            pSample->u.z = sqlite3DbStrNDup(0, z, n);
            if( pSample->u.z==0 ){
              db->mallocFailed = 1;

**
**    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 the best way to implement a
** query.
**
** Two system tables are created as follows:
**
**    CREATE TABLE sqlite_stat1(tbl, idx, stat);
**    CREATE TABLE sqlite_stat2(tbl, idx, sampleno, sample, cnt);
**
** Additional tables might be added in future releases of SQLite.
** The sqlite_stat2 table is only created and used if SQLite is
** compiled with SQLITE_ENABLE_STAT2.  Older versions of SQLite
** omit the sqlite_stat2.cnt column.  Newer versions of SQLite are
** able to use older versions of the stat2 table that lack the cnt
** column.
**
** 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.  The "stat2" table contains additional information
** about the key distribution 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 multiple rows in the sqlite_stat2
** table for each index.
**
** The sqlite_stat2 entires for an index that have sampleno>=0 are
** sampled key values for the first column of the index taken at
** intervals along the index.  The sqlite_stat2.sample column holds
** the value of the key in the left-most column of the index.
**
** The samples are numbered from 0 to S-1
** where S is 10 by default.  The number of samples created by the
** ANALYZE command can be adjusted at compile-time using the
** SQLITE_INDEX_SAMPLES macro.  The maximum number of samples is
** SQLITE_MAX_SAMPLES, currently set to 100.  There are places in the
** code that use an unsigned character to count samples, so an upper
** bound on SQLITE_MAX_SAMPLES is 255.
**
** Suppose the index contains C rows.  And let the number
** of samples be S.  SQLite assumes that the samples are taken from the
** following rows for i between 0 and S-1:
**
**     rownumber = (i*C*2 + C)/(S*2)
**
** Conceptually, the index is divided into S bins and the sample is
** taken from the middle of each bin.  The ANALYZE will not attempt
** to populate sqlite_stat2 for an index that holds fewer than S*2
** entries.
**
** If the key value for a sample (the sqlite_stat2.sample column) is a 
** large string or blob, SQLite will only use the first 255 bytes of 
** that string or blob.
** 
** The sqlite_stat2.cnt column contains the number of entries in the
** index for which sqlite_stat2.sample matches the left-most column
** of the index.  In other words, sqlite_stat2.cnt holds the number of
** times the sqlite_stat2.sample value appears in the index..  Many 
** older versions of SQLite omit the sqlite_stat2.cnt column.
**
** If the sqlite_stat2.sampleno value is -1, then that row holds a first-
** column key that is a frequently used key in the index.  The
** sqlite_stat2.cnt column will hold the number of occurrances of that key.
** This information is useful to the query planner in cases where a
** large percentage of the rows in indexed field have one of a small
** handful of value but the balance of the rows in the index have
** distinct or nearly distinct keys.
*/
#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
................................................................................
      pIndex->bUnordered = 1;
      break;
    }
  }
  return 0;
}

#if SQLITE_ENABLE_STAT2
/*

** Delete an array of IndexSample objects
*/
static void deleteIndexSampleArray(
  sqlite3 *db,                 /* The database connection */
  IndexSampleArray *pArray     /* Array of IndexSample objects */
){
  int j;
  if( pArray->a==0 ) return;
  for(j=0; j<pArray->n; j++){
    IndexSample *p = &pArray->a[j];
    if( p->eType==SQLITE_TEXT || p->eType==SQLITE_BLOB ){
      sqlite3_free(p->u.z);
    }
  }
  sqlite3_free(pArray->a);
  memset(pArray, 0, sizeof(*pArray));
}
#endif

/*
** Delete the sample and common-key arrays from the index.
*/
void sqlite3DeleteIndexSamples(sqlite3 *db, Index *pIdx){
#ifdef SQLITE_ENABLE_STAT2
  deleteIndexSampleArray(db, &pIdx->sample);
  deleteIndexSampleArray(db, &pIdx->comkey);








#else
  UNUSED_PARAMETER(db);
  UNUSED_PARAMETER(pIdx);
#endif
}

#ifdef SQLITE_ENABLE_STAT2
/*
** Enlarge an array of IndexSample objects.
*/
static IndexSample *allocIndexSample(
  sqlite3 *db,              /* Database connection to malloc against */
  IndexSampleArray *pArray, /* The array to enlarge */
  int i                     /* Return this element */
){
  IndexSample *p;
  if( i>=pArray->nAlloc ){
    int szNew = i+1;
    p = (IndexSample*)sqlite3_realloc(pArray->a, szNew*sizeof(IndexSample));
    if( p==0 ) return 0;
    pArray->a = p;
    memset(&pArray->a[pArray->n], 0, (szNew-(pArray->n))*sizeof(IndexSample));
    pArray->nAlloc = szNew;
  }
  if( i>=pArray->n ) pArray->n = i+1;
  return &pArray->a[i];
}
#endif

/*
** Load the content of the sqlite_stat1 and sqlite_stat2 tables. The
** contents of sqlite_stat1 are used to populate the Index.aiRowEst[]
** arrays. The contents of sqlite_stat2 are used to populate the
** Index.sample and Index.comkey arrays.
**
** If the sqlite_stat1 table is not present in the database, SQLITE_ERROR
** is returned. In this case, even if SQLITE_ENABLE_STAT2 was defined 
** during compilation and the sqlite_stat2 table is present, no data is 
** read from it.
**
** If SQLITE_ENABLE_STAT2 was defined during compilation and the 
................................................................................
** code may be ignored.
*/
int sqlite3AnalysisLoad(sqlite3 *db, int iDb){
  analysisInfo sInfo;
  HashElem *i;
  char *zSql;
  int rc;
  Table *pTab;    /* Stat1 or Stat2 table */

  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);
    sqlite3DeleteIndexSamples(db, pIdx);


  }

  /* Check to make sure the sqlite_stat1 table exists */
  sInfo.db = db;
  sInfo.zDatabase = db->aDb[iDb].zName;
  if( (pTab=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 = sqlite3_exec(db, zSql, analysisLoader, &sInfo, 0);
    sqlite3DbFree(db, zSql);
  }


  /* Load the statistics from the sqlite_stat2 table. */
#ifdef SQLITE_ENABLE_STAT2
  if( rc==SQLITE_OK 
    && (pTab=sqlite3FindTable(db, "sqlite_stat2", sInfo.zDatabase))==0 ){
    rc = SQLITE_ERROR;
  }
  if( rc==SQLITE_OK ){
    sqlite3_stmt *pStmt = 0;

    zSql = sqlite3MPrintf(db, 
        "SELECT idx, sampleno, sample, %s FROM %Q.sqlite_stat2"
        " ORDER BY rowid DESC",
        pTab->nCol>=5 ? "cnt" : "0", sInfo.zDatabase);
    if( !zSql ){
      rc = SQLITE_NOMEM;
    }else{
      rc = sqlite3_prepare(db, zSql, -1, &pStmt, 0);
      sqlite3DbFree(db, zSql);
    }

................................................................................
        IndexSample *pSample;

        zIndex = (char *)sqlite3_column_text(pStmt, 0);
        if( zIndex==0 ) continue;
        pIdx = sqlite3FindIndex(db, zIndex, sInfo.zDatabase);
        if( pIdx==0 ) continue;
        iSample = sqlite3_column_int(pStmt, 1);
        if( iSample>=SQLITE_MAX_SAMPLES ) continue;
        if( iSample<0 ){
          pSample = allocIndexSample(db, &pIdx->comkey, pIdx->comkey.n);
        }else{
          pSample = allocIndexSample(db, &pIdx->sample, iSample);



        }



        if( pSample==0 ) break;
        eType = sqlite3_column_type(pStmt, 2);

        pSample->eType = (u8)eType;
        pSample->nCopy = sqlite3_column_int(pStmt, 4);
        if( eType==SQLITE_INTEGER || eType==SQLITE_FLOAT ){
          pSample->u.r = sqlite3_column_double(pStmt, 2);
        }else if( eType==SQLITE_TEXT || eType==SQLITE_BLOB ){
          const char *z = (const char *)(
             (eType==SQLITE_BLOB) ?
              sqlite3_column_blob(pStmt, 2):
              sqlite3_column_text(pStmt, 2)
          );
          int n = sqlite3_column_bytes(pStmt, 2);
          if( n>255 ) n = 255;
          pSample->nByte = (u8)n;
          if( n < 1){
            pSample->u.z = 0;
          }else{
            pSample->u.z = sqlite3DbStrNDup(0, z, n);
            if( pSample->u.z==0 ){
              db->mallocFailed = 1;

typedef struct FKey FKey;
typedef struct FuncDestructor FuncDestructor;
typedef struct FuncDef FuncDef;
typedef struct FuncDefHash FuncDefHash;
typedef struct IdList IdList;
typedef struct Index Index;
typedef struct IndexSample IndexSample;

typedef struct KeyClass KeyClass;
typedef struct KeyInfo KeyInfo;
typedef struct Lookaside Lookaside;
typedef struct LookasideSlot LookasideSlot;
typedef struct Module Module;
typedef struct NameContext NameContext;
typedef struct Parse Parse;
................................................................................
#define UNPACKED_NEED_FREE     0x0001  /* Memory is from sqlite3Malloc() */
#define UNPACKED_NEED_DESTROY  0x0002  /* apMem[]s should all be destroyed */
#define UNPACKED_IGNORE_ROWID  0x0004  /* Ignore trailing rowid on key1 */
#define UNPACKED_INCRKEY       0x0008  /* Make this key an epsilon larger */
#define UNPACKED_PREFIX_MATCH  0x0010  /* A prefix match is considered OK */
#define UNPACKED_PREFIX_SEARCH 0x0020  /* A prefix match is considered OK */
























/*
** Each SQL index is represented in memory by an
** instance of the following structure.
**
** The columns of the table that are to be indexed are described
** by the aiColumn[] field of this structure.  For example, suppose
** we have the following table and index:
................................................................................
  int *aiColumn;   /* Which columns are used by this index.  1st is 0 */
  unsigned *aiRowEst; /* Result of ANALYZE: Est. rows selected by each column */
  Table *pTable;   /* The SQL table being indexed */
  int tnum;        /* Page containing root of this index in database file */
  u8 onError;      /* OE_Abort, OE_Ignore, OE_Replace, or OE_None */
  u8 autoIndex;    /* True if is automatically created (ex: by UNIQUE) */
  u8 bUnordered;   /* Use this index for == or IN queries only */
  u8 nSample;      /* Number of slots in aSample[] */
  char *zColAff;   /* String defining the affinity of each column */
  Index *pNext;    /* The next index associated with the same table */
  Schema *pSchema; /* Schema containing this index */
  u8 *aSortOrder;  /* Array of size Index.nColumn. True==DESC, False==ASC */
  char **azColl;   /* Array of collation sequence names for index */
  IndexSample *aSample;    /* Array of SQLITE_INDEX_SAMPLES samples */
};

/*
** Each sample stored in the sqlite_stat2 table is represented in memory 
** using a structure of this type.
*/
struct IndexSample {
  union {
    char *z;        /* Value if eType is SQLITE_TEXT or SQLITE_BLOB */
    double r;       /* Value if eType is SQLITE_FLOAT or SQLITE_INTEGER */
  } u;
  u8 eType;         /* SQLITE_NULL, SQLITE_INTEGER ... etc. */
  u8 nByte;         /* Size in byte of text or blob. */


};

/*
** Each token coming out of the lexer is an instance of
** this structure.  Tokens are also used as part of an expression.
**
** Note if Token.z==0 then Token.dyn and Token.n are undefined and

typedef struct FKey FKey;
typedef struct FuncDestructor FuncDestructor;
typedef struct FuncDef FuncDef;
typedef struct FuncDefHash FuncDefHash;
typedef struct IdList IdList;
typedef struct Index Index;
typedef struct IndexSample IndexSample;
typedef struct IndexSampleArray IndexSampleArray;
typedef struct KeyClass KeyClass;
typedef struct KeyInfo KeyInfo;
typedef struct Lookaside Lookaside;
typedef struct LookasideSlot LookasideSlot;
typedef struct Module Module;
typedef struct NameContext NameContext;
typedef struct Parse Parse;
................................................................................
#define UNPACKED_NEED_FREE     0x0001  /* Memory is from sqlite3Malloc() */
#define UNPACKED_NEED_DESTROY  0x0002  /* apMem[]s should all be destroyed */
#define UNPACKED_IGNORE_ROWID  0x0004  /* Ignore trailing rowid on key1 */
#define UNPACKED_INCRKEY       0x0008  /* Make this key an epsilon larger */
#define UNPACKED_PREFIX_MATCH  0x0010  /* A prefix match is considered OK */
#define UNPACKED_PREFIX_SEARCH 0x0020  /* A prefix match is considered OK */

/*
** Each sample stored in the sqlite_stat2 table is represented in memory 
** using a structure of this type.
*/
struct IndexSample {
  union {
    char *z;        /* Value if eType is SQLITE_TEXT or SQLITE_BLOB */
    double r;       /* Value if eType is SQLITE_FLOAT or SQLITE_INTEGER */
  } u;
  u8 eType;         /* SQLITE_NULL, SQLITE_INTEGER ... etc. */
  u8 nByte;         /* Size in byte of text or blob. */
  u32 nCopy;        /* How many copies of this sample are in the database */
};

/*
** An array of IndexSample elements is as follows:
*/
struct IndexSampleArray {
  u16 n;            /* Number of elements in the array */
  u16 nAlloc;       /* Space allocated to a[] */
  IndexSample *a;   /* The samples */
};

/*
** Each SQL index is represented in memory by an
** instance of the following structure.
**
** The columns of the table that are to be indexed are described
** by the aiColumn[] field of this structure.  For example, suppose
** we have the following table and index:
................................................................................
  int *aiColumn;   /* Which columns are used by this index.  1st is 0 */
  unsigned *aiRowEst; /* Result of ANALYZE: Est. rows selected by each column */
  Table *pTable;   /* The SQL table being indexed */
  int tnum;        /* Page containing root of this index in database file */
  u8 onError;      /* OE_Abort, OE_Ignore, OE_Replace, or OE_None */
  u8 autoIndex;    /* True if is automatically created (ex: by UNIQUE) */
  u8 bUnordered;   /* Use this index for == or IN queries only */

  char *zColAff;   /* String defining the affinity of each column */
  Index *pNext;    /* The next index associated with the same table */
  Schema *pSchema; /* Schema containing this index */
  u8 *aSortOrder;  /* Array of size Index.nColumn. True==DESC, False==ASC */
  char **azColl;   /* Array of collation sequence names for index */
#ifdef SQLITE_ENABLE_STAT2
  IndexSampleArray sample;  /* Sampled histogram for the first column */












  IndexSampleArray comkey;  /* The most common keys */
#endif
};

/*
** Each token coming out of the lexer is an instance of
** this structure.  Tokens are also used as part of an expression.
**
** Note if Token.z==0 then Token.dyn and Token.n are undefined and

  */
  bestOrClauseIndex(pParse, pWC, pSrc, notReady, notValid, pOrderBy, pCost);
}
#endif /* SQLITE_OMIT_VIRTUALTABLE */

/*
** Argument pIdx is a pointer to an index structure that has an array of
** pIdx->nSample evenly spaced samples of the first indexed column
** stored in Index.aSample. These samples divide the domain of values stored
** the index into (pIdx->nSample+1) regions.
** Region 0 contains all values less than the first sample value. Region
** 1 contains values between the first and second samples.  Region 2 contains
** values between samples 2 and 3.  And so on.  Region pIdx->nSample
** contains values larger than the last sample.
**
** If the index contains many duplicates of a single value, then it is
** possible that two or more adjacent samples can hold the same value.
** When that is the case, the smallest possible region code is returned
** when roundUp is false and the largest possible region code is returned
** when roundUp is true.
................................................................................
  Index *pIdx,                /* Index to consider domain of */
  sqlite3_value *pVal,        /* Value to consider */
  int roundUp,                /* Return largest valid region if true */
  int *piRegion               /* OUT: Region of domain in which value lies */
){
  assert( roundUp==0 || roundUp==1 );
  if( ALWAYS(pVal) ){
    IndexSample *aSample = pIdx->aSample;
    int nSample = pIdx->nSample;
    int i = 0;
    int eType = sqlite3_value_type(pVal);

    assert( nSample>0 );
    if( eType==SQLITE_INTEGER || eType==SQLITE_FLOAT ){
      double r = sqlite3_value_double(pVal);
      for(i=0; i<nSample; i++){
................................................................................
        {
          c = pColl->xCmp(pColl->pUser, aSample[i].nByte, aSample[i].u.z, n, z);
        }
        if( c-roundUp>=0 ) break;
      }
    }

    assert( i>=0 && i<=pIdx->nSample );
    *piRegion = i;
  }
  return SQLITE_OK;
}
#endif   /* #ifdef SQLITE_ENABLE_STAT2 */

/*
................................................................................
  WhereTerm *pUpper,   /* Upper bound on the range. ex: "x<455" Might be NULL */
  int *piEst           /* OUT: Return value */
){
  int rc = SQLITE_OK;

#ifdef SQLITE_ENABLE_STAT2

  if( nEq==0 && p->aSample ){
    sqlite3_value *pLowerVal = 0;
    sqlite3_value *pUpperVal = 0;
    int iEst;
    int iLower = 0;
    int nSample = p->nSample;
    int iUpper = p->nSample;
    int roundUpUpper = 0;
    int roundUpLower = 0;
    u8 aff = p->pTable->aCol[p->aiColumn[0]].affinity;

    if( pLower ){
      Expr *pExpr = pLower->pExpr->pRight;
      rc = valueFromExpr(pParse, pExpr, aff, &pLowerVal);
................................................................................
      sqlite3ValueFree(pUpperVal);
      goto range_est_fallback;
    }else if( pLowerVal==0 ){
      rc = whereRangeRegion(pParse, p, pUpperVal, roundUpUpper, &iUpper);
      if( pLower ) iLower = iUpper/2;
    }else if( pUpperVal==0 ){
      rc = whereRangeRegion(pParse, p, pLowerVal, roundUpLower, &iLower);
      if( pUpper ) iUpper = (iLower + p->nSample + 1)/2;
    }else{
      rc = whereRangeRegion(pParse, p, pUpperVal, roundUpUpper, &iUpper);
      if( rc==SQLITE_OK ){
        rc = whereRangeRegion(pParse, p, pLowerVal, roundUpLower, &iLower);
      }
    }
    WHERETRACE(("range scan regions: %d..%d\n", iLower, iUpper));
................................................................................
){
  sqlite3_value *pRhs = 0;  /* VALUE on right-hand side of pTerm */
  int iLower, iUpper;       /* Range of histogram regions containing pRhs */
  u8 aff;                   /* Column affinity */
  int rc;                   /* Subfunction return code */
  double nRowEst;           /* New estimate of the number of rows */

  assert( p->aSample!=0 );
  assert( p->nSample>0 );
  aff = p->pTable->aCol[p->aiColumn[0]].affinity;
  if( pExpr ){
    rc = valueFromExpr(pParse, pExpr, aff, &pRhs);
    if( rc ) goto whereEqualScanEst_cancel;
  }else{
    pRhs = sqlite3ValueNew(pParse->db);
  }
................................................................................
  if( pRhs==0 ) return SQLITE_NOTFOUND;
  rc = whereRangeRegion(pParse, p, pRhs, 0, &iLower);
  if( rc ) goto whereEqualScanEst_cancel;
  rc = whereRangeRegion(pParse, p, pRhs, 1, &iUpper);
  if( rc ) goto whereEqualScanEst_cancel;
  WHERETRACE(("equality scan regions: %d..%d\n", iLower, iUpper));
  if( iLower>=iUpper ){
    nRowEst = p->aiRowEst[0]/(p->nSample*3);
    if( nRowEst<*pnRow ) *pnRow = nRowEst;
  }else{
    nRowEst = (iUpper-iLower)*p->aiRowEst[0]/p->nSample;
    *pnRow = nRowEst;
  }

whereEqualScanEst_cancel:
  sqlite3ValueFree(pRhs);
  return rc;
}
................................................................................
  u8 aff;                   /* Column affinity */
  int rc = SQLITE_OK;       /* Subfunction return code */
  double nRowEst;           /* New estimate of the number of rows */
  int nSpan = 0;            /* Number of histogram regions spanned */
  int nSingle = 0;          /* Histogram regions hit by a single value */
  int nNotFound = 0;        /* Count of values that are not constants */
  int i;                             /* Loop counter */
  int nSample = p->nSample;          /* Number of samples */
  u8 aSpan[SQLITE_MAX_SAMPLES+1];    /* Histogram regions that are spanned */
  u8 aSingle[SQLITE_MAX_SAMPLES+1];  /* Histogram regions hit once */

  assert( p->aSample!=0 );
  assert( nSample>0 );
  aff = p->pTable->aCol[p->aiColumn[0]].affinity;
  memset(aSpan, 0, nSample+1);
  memset(aSingle, 0, nSample+1);
  for(i=0; i<pList->nExpr; i++){
    sqlite3ValueFree(pVal);
    rc = valueFromExpr(pParse, pList->a[i].pExpr, aff, &pVal);
................................................................................
          /* "x IN (value, value, ...)" */
          nInMul *= pExpr->x.pList->nExpr;
        }
      }else if( pTerm->eOperator & WO_ISNULL ){
        wsFlags |= WHERE_COLUMN_NULL;
      }
#ifdef SQLITE_ENABLE_STAT2
      if( nEq==0 && pProbe->aSample ) pFirstTerm = pTerm;
#endif
      used |= pTerm->prereqRight;
    }

    /* Determine the value of estBound. */
    if( nEq<pProbe->nColumn && pProbe->bUnordered==0 ){
      int j = pProbe->aiColumn[nEq];

  */
  bestOrClauseIndex(pParse, pWC, pSrc, notReady, notValid, pOrderBy, pCost);
}
#endif /* SQLITE_OMIT_VIRTUALTABLE */

/*
** Argument pIdx is a pointer to an index structure that has an array of
** pIdx->sample.n evenly spaced samples of the first indexed column
** stored in Index.sample. These samples divide the domain of values stored
** the index into (pIdx->sample.n+1) regions.
** Region 0 contains all values less than the first sample value. Region
** 1 contains values between the first and second samples.  Region 2 contains
** values between samples 2 and 3.  And so on.  Region pIdx->sample.n
** contains values larger than the last sample.
**
** If the index contains many duplicates of a single value, then it is
** possible that two or more adjacent samples can hold the same value.
** When that is the case, the smallest possible region code is returned
** when roundUp is false and the largest possible region code is returned
** when roundUp is true.
................................................................................
  Index *pIdx,                /* Index to consider domain of */
  sqlite3_value *pVal,        /* Value to consider */
  int roundUp,                /* Return largest valid region if true */
  int *piRegion               /* OUT: Region of domain in which value lies */
){
  assert( roundUp==0 || roundUp==1 );
  if( ALWAYS(pVal) ){
    IndexSample *aSample = pIdx->sample.a;
    int nSample = pIdx->sample.n;
    int i = 0;
    int eType = sqlite3_value_type(pVal);

    assert( nSample>0 );
    if( eType==SQLITE_INTEGER || eType==SQLITE_FLOAT ){
      double r = sqlite3_value_double(pVal);
      for(i=0; i<nSample; i++){
................................................................................
        {
          c = pColl->xCmp(pColl->pUser, aSample[i].nByte, aSample[i].u.z, n, z);
        }
        if( c-roundUp>=0 ) break;
      }
    }

    assert( i>=0 && i<=pIdx->sample.n );
    *piRegion = i;
  }
  return SQLITE_OK;
}
#endif   /* #ifdef SQLITE_ENABLE_STAT2 */

/*
................................................................................
  WhereTerm *pUpper,   /* Upper bound on the range. ex: "x<455" Might be NULL */
  int *piEst           /* OUT: Return value */
){
  int rc = SQLITE_OK;

#ifdef SQLITE_ENABLE_STAT2

  if( nEq==0 && p->sample.a ){
    sqlite3_value *pLowerVal = 0;
    sqlite3_value *pUpperVal = 0;
    int iEst;
    int iLower = 0;
    int nSample = p->sample.n;
    int iUpper = p->sample.n;
    int roundUpUpper = 0;
    int roundUpLower = 0;
    u8 aff = p->pTable->aCol[p->aiColumn[0]].affinity;

    if( pLower ){
      Expr *pExpr = pLower->pExpr->pRight;
      rc = valueFromExpr(pParse, pExpr, aff, &pLowerVal);
................................................................................
      sqlite3ValueFree(pUpperVal);
      goto range_est_fallback;
    }else if( pLowerVal==0 ){
      rc = whereRangeRegion(pParse, p, pUpperVal, roundUpUpper, &iUpper);
      if( pLower ) iLower = iUpper/2;
    }else if( pUpperVal==0 ){
      rc = whereRangeRegion(pParse, p, pLowerVal, roundUpLower, &iLower);
      if( pUpper ) iUpper = (iLower + p->sample.n + 1)/2;
    }else{
      rc = whereRangeRegion(pParse, p, pUpperVal, roundUpUpper, &iUpper);
      if( rc==SQLITE_OK ){
        rc = whereRangeRegion(pParse, p, pLowerVal, roundUpLower, &iLower);
      }
    }
    WHERETRACE(("range scan regions: %d..%d\n", iLower, iUpper));
................................................................................
){
  sqlite3_value *pRhs = 0;  /* VALUE on right-hand side of pTerm */
  int iLower, iUpper;       /* Range of histogram regions containing pRhs */
  u8 aff;                   /* Column affinity */
  int rc;                   /* Subfunction return code */
  double nRowEst;           /* New estimate of the number of rows */

  assert( p->sample.a!=0 );
  assert( p->sample.n>0 );
  aff = p->pTable->aCol[p->aiColumn[0]].affinity;
  if( pExpr ){
    rc = valueFromExpr(pParse, pExpr, aff, &pRhs);
    if( rc ) goto whereEqualScanEst_cancel;
  }else{
    pRhs = sqlite3ValueNew(pParse->db);
  }
................................................................................
  if( pRhs==0 ) return SQLITE_NOTFOUND;
  rc = whereRangeRegion(pParse, p, pRhs, 0, &iLower);
  if( rc ) goto whereEqualScanEst_cancel;
  rc = whereRangeRegion(pParse, p, pRhs, 1, &iUpper);
  if( rc ) goto whereEqualScanEst_cancel;
  WHERETRACE(("equality scan regions: %d..%d\n", iLower, iUpper));
  if( iLower>=iUpper ){
    nRowEst = p->aiRowEst[0]/(p->sample.n*3);
    if( nRowEst<*pnRow ) *pnRow = nRowEst;
  }else{
    nRowEst = (iUpper-iLower)*p->aiRowEst[0]/p->sample.n;
    *pnRow = nRowEst;
  }

whereEqualScanEst_cancel:
  sqlite3ValueFree(pRhs);
  return rc;
}
................................................................................
  u8 aff;                   /* Column affinity */
  int rc = SQLITE_OK;       /* Subfunction return code */
  double nRowEst;           /* New estimate of the number of rows */
  int nSpan = 0;            /* Number of histogram regions spanned */
  int nSingle = 0;          /* Histogram regions hit by a single value */
  int nNotFound = 0;        /* Count of values that are not constants */
  int i;                             /* Loop counter */
  int nSample = p->sample.n;         /* Number of samples */
  u8 aSpan[SQLITE_MAX_SAMPLES+1];    /* Histogram regions that are spanned */
  u8 aSingle[SQLITE_MAX_SAMPLES+1];  /* Histogram regions hit once */

  assert( p->sample.a!=0 );
  assert( nSample>0 );
  aff = p->pTable->aCol[p->aiColumn[0]].affinity;
  memset(aSpan, 0, nSample+1);
  memset(aSingle, 0, nSample+1);
  for(i=0; i<pList->nExpr; i++){
    sqlite3ValueFree(pVal);
    rc = valueFromExpr(pParse, pList->a[i].pExpr, aff, &pVal);
................................................................................
          /* "x IN (value, value, ...)" */
          nInMul *= pExpr->x.pList->nExpr;
        }
      }else if( pTerm->eOperator & WO_ISNULL ){
        wsFlags |= WHERE_COLUMN_NULL;
      }
#ifdef SQLITE_ENABLE_STAT2
      if( nEq==0 && pProbe->sample.a ) pFirstTerm = pTerm;
#endif
      used |= pTerm->prereqRight;
    }

    /* Determine the value of estBound. */
    if( nEq<pProbe->nColumn && pProbe->bUnordered==0 ){
      int j = pProbe->aiColumn[nEq];

  execsql {
    UPDATE t1 SET a=b;
    UPDATE t1 SET a=20 WHERE b>2;
    ANALYZE;
    SELECT sample, cnt FROM sqlite_stat2 WHERE idx='t1all' ORDER BY sampleno;
  }
} {2 2 20 38 20 38 20 38 20 38 20 38 20 38 20 38 20 38 20 38}

  execsql {
    UPDATE t1 SET a=b;
    UPDATE t1 SET a=20 WHERE b>2;
    ANALYZE;
    SELECT sample, cnt FROM sqlite_stat2 WHERE idx='t1all' ORDER BY sampleno;
  }
} {2 2 20 38 20 38 20 38 20 38 20 38 20 38 20 38 20 38 20 38}

finish_test