extensions/sqlite/sqlite-source/where.c
author Matt Woodrow <pred@alliedmods.net>
Mon Aug 17 10:53:54 2009 +1200 (2009-08-17)
changeset 2771 ea849fc91a9b
parent 1952 b7aa2b626807
permissions -rw-r--r--
Forgot makefiles patch
     1 /*
     2 ** 2001 September 15
     3 **
     4 ** The author disclaims copyright to this source code.  In place of
     5 ** a legal notice, here is a blessing:
     6 **
     7 **    May you do good and not evil.
     8 **    May you find forgiveness for yourself and forgive others.
     9 **    May you share freely, never taking more than you give.
    10 **
    11 *************************************************************************
    12 ** This module contains C code that generates VDBE code used to process
    13 ** the WHERE clause of SQL statements.  This module is reponsible for
    14 ** generating the code that loops through a table looking for applicable
    15 ** rows.  Indices are selected and used to speed the search when doing
    16 ** so is applicable.  Because this module is responsible for selecting
    17 ** indices, you might also think of this module as the "query optimizer".
    18 **
    19 ** $Id$
    20 */
    21 #include "sqliteInt.h"
    22 
    23 /*
    24 ** The number of bits in a Bitmask.  "BMS" means "BitMask Size".
    25 */
    26 #define BMS  (sizeof(Bitmask)*8)
    27 
    28 /*
    29 ** Trace output macros
    30 */
    31 #if defined(SQLITE_TEST) || defined(SQLITE_DEBUG)
    32 int sqlite3_where_trace = 0;
    33 # define WHERETRACE(X)  if(sqlite3_where_trace) sqlite3DebugPrintf X
    34 #else
    35 # define WHERETRACE(X)
    36 #endif
    37 
    38 /* Forward reference
    39 */
    40 typedef struct WhereClause WhereClause;
    41 typedef struct ExprMaskSet ExprMaskSet;
    42 
    43 /*
    44 ** The query generator uses an array of instances of this structure to
    45 ** help it analyze the subexpressions of the WHERE clause.  Each WHERE
    46 ** clause subexpression is separated from the others by an AND operator.
    47 **
    48 ** All WhereTerms are collected into a single WhereClause structure.  
    49 ** The following identity holds:
    50 **
    51 **        WhereTerm.pWC->a[WhereTerm.idx] == WhereTerm
    52 **
    53 ** When a term is of the form:
    54 **
    55 **              X <op> <expr>
    56 **
    57 ** where X is a column name and <op> is one of certain operators,
    58 ** then WhereTerm.leftCursor and WhereTerm.leftColumn record the
    59 ** cursor number and column number for X.  WhereTerm.operator records
    60 ** the <op> using a bitmask encoding defined by WO_xxx below.  The
    61 ** use of a bitmask encoding for the operator allows us to search
    62 ** quickly for terms that match any of several different operators.
    63 **
    64 ** prereqRight and prereqAll record sets of cursor numbers,
    65 ** but they do so indirectly.  A single ExprMaskSet structure translates
    66 ** cursor number into bits and the translated bit is stored in the prereq
    67 ** fields.  The translation is used in order to maximize the number of
    68 ** bits that will fit in a Bitmask.  The VDBE cursor numbers might be
    69 ** spread out over the non-negative integers.  For example, the cursor
    70 ** numbers might be 3, 8, 9, 10, 20, 23, 41, and 45.  The ExprMaskSet
    71 ** translates these sparse cursor numbers into consecutive integers
    72 ** beginning with 0 in order to make the best possible use of the available
    73 ** bits in the Bitmask.  So, in the example above, the cursor numbers
    74 ** would be mapped into integers 0 through 7.
    75 */
    76 typedef struct WhereTerm WhereTerm;
    77 struct WhereTerm {
    78   Expr *pExpr;            /* Pointer to the subexpression */
    79   i16 iParent;            /* Disable pWC->a[iParent] when this term disabled */
    80   i16 leftCursor;         /* Cursor number of X in "X <op> <expr>" */
    81   i16 leftColumn;         /* Column number of X in "X <op> <expr>" */
    82   u16 eOperator;          /* A WO_xx value describing <op> */
    83   u8 flags;               /* Bit flags.  See below */
    84   u8 nChild;              /* Number of children that must disable us */
    85   WhereClause *pWC;       /* The clause this term is part of */
    86   Bitmask prereqRight;    /* Bitmask of tables used by pRight */
    87   Bitmask prereqAll;      /* Bitmask of tables referenced by p */
    88 };
    89 
    90 /*
    91 ** Allowed values of WhereTerm.flags
    92 */
    93 #define TERM_DYNAMIC    0x01   /* Need to call sqlite3ExprDelete(pExpr) */
    94 #define TERM_VIRTUAL    0x02   /* Added by the optimizer.  Do not code */
    95 #define TERM_CODED      0x04   /* This term is already coded */
    96 #define TERM_COPIED     0x08   /* Has a child */
    97 #define TERM_OR_OK      0x10   /* Used during OR-clause processing */
    98 
    99 /*
   100 ** An instance of the following structure holds all information about a
   101 ** WHERE clause.  Mostly this is a container for one or more WhereTerms.
   102 */
   103 struct WhereClause {
   104   Parse *pParse;           /* The parser context */
   105   ExprMaskSet *pMaskSet;   /* Mapping of table indices to bitmasks */
   106   int nTerm;               /* Number of terms */
   107   int nSlot;               /* Number of entries in a[] */
   108   WhereTerm *a;            /* Each a[] describes a term of the WHERE cluase */
   109   WhereTerm aStatic[10];   /* Initial static space for a[] */
   110 };
   111 
   112 /*
   113 ** An instance of the following structure keeps track of a mapping
   114 ** between VDBE cursor numbers and bits of the bitmasks in WhereTerm.
   115 **
   116 ** The VDBE cursor numbers are small integers contained in 
   117 ** SrcList_item.iCursor and Expr.iTable fields.  For any given WHERE 
   118 ** clause, the cursor numbers might not begin with 0 and they might
   119 ** contain gaps in the numbering sequence.  But we want to make maximum
   120 ** use of the bits in our bitmasks.  This structure provides a mapping
   121 ** from the sparse cursor numbers into consecutive integers beginning
   122 ** with 0.
   123 **
   124 ** If ExprMaskSet.ix[A]==B it means that The A-th bit of a Bitmask
   125 ** corresponds VDBE cursor number B.  The A-th bit of a bitmask is 1<<A.
   126 **
   127 ** For example, if the WHERE clause expression used these VDBE
   128 ** cursors:  4, 5, 8, 29, 57, 73.  Then the  ExprMaskSet structure
   129 ** would map those cursor numbers into bits 0 through 5.
   130 **
   131 ** Note that the mapping is not necessarily ordered.  In the example
   132 ** above, the mapping might go like this:  4->3, 5->1, 8->2, 29->0,
   133 ** 57->5, 73->4.  Or one of 719 other combinations might be used. It
   134 ** does not really matter.  What is important is that sparse cursor
   135 ** numbers all get mapped into bit numbers that begin with 0 and contain
   136 ** no gaps.
   137 */
   138 struct ExprMaskSet {
   139   int n;                        /* Number of assigned cursor values */
   140   int ix[sizeof(Bitmask)*8];    /* Cursor assigned to each bit */
   141 };
   142 
   143 
   144 /*
   145 ** Bitmasks for the operators that indices are able to exploit.  An
   146 ** OR-ed combination of these values can be used when searching for
   147 ** terms in the where clause.
   148 */
   149 #define WO_IN     1
   150 #define WO_EQ     2
   151 #define WO_LT     (WO_EQ<<(TK_LT-TK_EQ))
   152 #define WO_LE     (WO_EQ<<(TK_LE-TK_EQ))
   153 #define WO_GT     (WO_EQ<<(TK_GT-TK_EQ))
   154 #define WO_GE     (WO_EQ<<(TK_GE-TK_EQ))
   155 #define WO_MATCH  64
   156 #define WO_ISNULL 128
   157 
   158 /*
   159 ** Value for flags returned by bestIndex().  
   160 **
   161 ** The least significant byte is reserved as a mask for WO_ values above.
   162 ** The WhereLevel.flags field is usually set to WO_IN|WO_EQ|WO_ISNULL.
   163 ** But if the table is the right table of a left join, WhereLevel.flags
   164 ** is set to WO_IN|WO_EQ.  The WhereLevel.flags field can then be used as
   165 ** the "op" parameter to findTerm when we are resolving equality constraints.
   166 ** ISNULL constraints will then not be used on the right table of a left
   167 ** join.  Tickets #2177 and #2189.
   168 */
   169 #define WHERE_ROWID_EQ     0x000100   /* rowid=EXPR or rowid IN (...) */
   170 #define WHERE_ROWID_RANGE  0x000200   /* rowid<EXPR and/or rowid>EXPR */
   171 #define WHERE_COLUMN_EQ    0x001000   /* x=EXPR or x IN (...) */
   172 #define WHERE_COLUMN_RANGE 0x002000   /* x<EXPR and/or x>EXPR */
   173 #define WHERE_COLUMN_IN    0x004000   /* x IN (...) */
   174 #define WHERE_TOP_LIMIT    0x010000   /* x<EXPR or x<=EXPR constraint */
   175 #define WHERE_BTM_LIMIT    0x020000   /* x>EXPR or x>=EXPR constraint */
   176 #define WHERE_IDX_ONLY     0x080000   /* Use index only - omit table */
   177 #define WHERE_ORDERBY      0x100000   /* Output will appear in correct order */
   178 #define WHERE_REVERSE      0x200000   /* Scan in reverse order */
   179 #define WHERE_UNIQUE       0x400000   /* Selects no more than one row */
   180 #define WHERE_VIRTUALTABLE 0x800000   /* Use virtual-table processing */
   181 
   182 /*
   183 ** Initialize a preallocated WhereClause structure.
   184 */
   185 static void whereClauseInit(
   186   WhereClause *pWC,        /* The WhereClause to be initialized */
   187   Parse *pParse,           /* The parsing context */
   188   ExprMaskSet *pMaskSet    /* Mapping from table indices to bitmasks */
   189 ){
   190   pWC->pParse = pParse;
   191   pWC->pMaskSet = pMaskSet;
   192   pWC->nTerm = 0;
   193   pWC->nSlot = ArraySize(pWC->aStatic);
   194   pWC->a = pWC->aStatic;
   195 }
   196 
   197 /*
   198 ** Deallocate a WhereClause structure.  The WhereClause structure
   199 ** itself is not freed.  This routine is the inverse of whereClauseInit().
   200 */
   201 static void whereClauseClear(WhereClause *pWC){
   202   int i;
   203   WhereTerm *a;
   204   for(i=pWC->nTerm-1, a=pWC->a; i>=0; i--, a++){
   205     if( a->flags & TERM_DYNAMIC ){
   206       sqlite3ExprDelete(a->pExpr);
   207     }
   208   }
   209   if( pWC->a!=pWC->aStatic ){
   210     sqlite3_free(pWC->a);
   211   }
   212 }
   213 
   214 /*
   215 ** Add a new entries to the WhereClause structure.  Increase the allocated
   216 ** space as necessary.
   217 **
   218 ** If the flags argument includes TERM_DYNAMIC, then responsibility
   219 ** for freeing the expression p is assumed by the WhereClause object.
   220 **
   221 ** WARNING:  This routine might reallocate the space used to store
   222 ** WhereTerms.  All pointers to WhereTerms should be invalided after
   223 ** calling this routine.  Such pointers may be reinitialized by referencing
   224 ** the pWC->a[] array.
   225 */
   226 static int whereClauseInsert(WhereClause *pWC, Expr *p, int flags){
   227   WhereTerm *pTerm;
   228   int idx;
   229   if( pWC->nTerm>=pWC->nSlot ){
   230     WhereTerm *pOld = pWC->a;
   231     pWC->a = sqlite3_malloc( sizeof(pWC->a[0])*pWC->nSlot*2 );
   232     if( pWC->a==0 ){
   233       pWC->pParse->db->mallocFailed = 1;
   234       if( flags & TERM_DYNAMIC ){
   235         sqlite3ExprDelete(p);
   236       }
   237       return 0;
   238     }
   239     memcpy(pWC->a, pOld, sizeof(pWC->a[0])*pWC->nTerm);
   240     if( pOld!=pWC->aStatic ){
   241       sqlite3_free(pOld);
   242     }
   243     pWC->nSlot *= 2;
   244   }
   245   pTerm = &pWC->a[idx = pWC->nTerm];
   246   pWC->nTerm++;
   247   pTerm->pExpr = p;
   248   pTerm->flags = flags;
   249   pTerm->pWC = pWC;
   250   pTerm->iParent = -1;
   251   return idx;
   252 }
   253 
   254 /*
   255 ** This routine identifies subexpressions in the WHERE clause where
   256 ** each subexpression is separated by the AND operator or some other
   257 ** operator specified in the op parameter.  The WhereClause structure
   258 ** is filled with pointers to subexpressions.  For example:
   259 **
   260 **    WHERE  a=='hello' AND coalesce(b,11)<10 AND (c+12!=d OR c==22)
   261 **           \________/     \_______________/     \________________/
   262 **            slot[0]            slot[1]               slot[2]
   263 **
   264 ** The original WHERE clause in pExpr is unaltered.  All this routine
   265 ** does is make slot[] entries point to substructure within pExpr.
   266 **
   267 ** In the previous sentence and in the diagram, "slot[]" refers to
   268 ** the WhereClause.a[] array.  This array grows as needed to contain
   269 ** all terms of the WHERE clause.
   270 */
   271 static void whereSplit(WhereClause *pWC, Expr *pExpr, int op){
   272   if( pExpr==0 ) return;
   273   if( pExpr->op!=op ){
   274     whereClauseInsert(pWC, pExpr, 0);
   275   }else{
   276     whereSplit(pWC, pExpr->pLeft, op);
   277     whereSplit(pWC, pExpr->pRight, op);
   278   }
   279 }
   280 
   281 /*
   282 ** Initialize an expression mask set
   283 */
   284 #define initMaskSet(P)  memset(P, 0, sizeof(*P))
   285 
   286 /*
   287 ** Return the bitmask for the given cursor number.  Return 0 if
   288 ** iCursor is not in the set.
   289 */
   290 static Bitmask getMask(ExprMaskSet *pMaskSet, int iCursor){
   291   int i;
   292   for(i=0; i<pMaskSet->n; i++){
   293     if( pMaskSet->ix[i]==iCursor ){
   294       return ((Bitmask)1)<<i;
   295     }
   296   }
   297   return 0;
   298 }
   299 
   300 /*
   301 ** Create a new mask for cursor iCursor.
   302 **
   303 ** There is one cursor per table in the FROM clause.  The number of
   304 ** tables in the FROM clause is limited by a test early in the
   305 ** sqlite3WhereBegin() routine.  So we know that the pMaskSet->ix[]
   306 ** array will never overflow.
   307 */
   308 static void createMask(ExprMaskSet *pMaskSet, int iCursor){
   309   assert( pMaskSet->n < ArraySize(pMaskSet->ix) );
   310   pMaskSet->ix[pMaskSet->n++] = iCursor;
   311 }
   312 
   313 /*
   314 ** This routine walks (recursively) an expression tree and generates
   315 ** a bitmask indicating which tables are used in that expression
   316 ** tree.
   317 **
   318 ** In order for this routine to work, the calling function must have
   319 ** previously invoked sqlite3ExprResolveNames() on the expression.  See
   320 ** the header comment on that routine for additional information.
   321 ** The sqlite3ExprResolveNames() routines looks for column names and
   322 ** sets their opcodes to TK_COLUMN and their Expr.iTable fields to
   323 ** the VDBE cursor number of the table.  This routine just has to
   324 ** translate the cursor numbers into bitmask values and OR all
   325 ** the bitmasks together.
   326 */
   327 static Bitmask exprListTableUsage(ExprMaskSet*, ExprList*);
   328 static Bitmask exprSelectTableUsage(ExprMaskSet*, Select*);
   329 static Bitmask exprTableUsage(ExprMaskSet *pMaskSet, Expr *p){
   330   Bitmask mask = 0;
   331   if( p==0 ) return 0;
   332   if( p->op==TK_COLUMN ){
   333     mask = getMask(pMaskSet, p->iTable);
   334     return mask;
   335   }
   336   mask = exprTableUsage(pMaskSet, p->pRight);
   337   mask |= exprTableUsage(pMaskSet, p->pLeft);
   338   mask |= exprListTableUsage(pMaskSet, p->pList);
   339   mask |= exprSelectTableUsage(pMaskSet, p->pSelect);
   340   return mask;
   341 }
   342 static Bitmask exprListTableUsage(ExprMaskSet *pMaskSet, ExprList *pList){
   343   int i;
   344   Bitmask mask = 0;
   345   if( pList ){
   346     for(i=0; i<pList->nExpr; i++){
   347       mask |= exprTableUsage(pMaskSet, pList->a[i].pExpr);
   348     }
   349   }
   350   return mask;
   351 }
   352 static Bitmask exprSelectTableUsage(ExprMaskSet *pMaskSet, Select *pS){
   353   Bitmask mask = 0;
   354   while( pS ){
   355     mask |= exprListTableUsage(pMaskSet, pS->pEList);
   356     mask |= exprListTableUsage(pMaskSet, pS->pGroupBy);
   357     mask |= exprListTableUsage(pMaskSet, pS->pOrderBy);
   358     mask |= exprTableUsage(pMaskSet, pS->pWhere);
   359     mask |= exprTableUsage(pMaskSet, pS->pHaving);
   360     pS = pS->pPrior;
   361   }
   362   return mask;
   363 }
   364 
   365 /*
   366 ** Return TRUE if the given operator is one of the operators that is
   367 ** allowed for an indexable WHERE clause term.  The allowed operators are
   368 ** "=", "<", ">", "<=", ">=", and "IN".
   369 */
   370 static int allowedOp(int op){
   371   assert( TK_GT>TK_EQ && TK_GT<TK_GE );
   372   assert( TK_LT>TK_EQ && TK_LT<TK_GE );
   373   assert( TK_LE>TK_EQ && TK_LE<TK_GE );
   374   assert( TK_GE==TK_EQ+4 );
   375   return op==TK_IN || (op>=TK_EQ && op<=TK_GE) || op==TK_ISNULL;
   376 }
   377 
   378 /*
   379 ** Swap two objects of type T.
   380 */
   381 #define SWAP(TYPE,A,B) {TYPE t=A; A=B; B=t;}
   382 
   383 /*
   384 ** Commute a comparision operator.  Expressions of the form "X op Y"
   385 ** are converted into "Y op X".
   386 **
   387 ** If a collation sequence is associated with either the left or right
   388 ** side of the comparison, it remains associated with the same side after
   389 ** the commutation. So "Y collate NOCASE op X" becomes 
   390 ** "X collate NOCASE op Y". This is because any collation sequence on
   391 ** the left hand side of a comparison overrides any collation sequence 
   392 ** attached to the right. For the same reason the EP_ExpCollate flag
   393 ** is not commuted.
   394 */
   395 static void exprCommute(Expr *pExpr){
   396   u16 expRight = (pExpr->pRight->flags & EP_ExpCollate);
   397   u16 expLeft = (pExpr->pLeft->flags & EP_ExpCollate);
   398   assert( allowedOp(pExpr->op) && pExpr->op!=TK_IN );
   399   SWAP(CollSeq*,pExpr->pRight->pColl,pExpr->pLeft->pColl);
   400   pExpr->pRight->flags = (pExpr->pRight->flags & ~EP_ExpCollate) | expLeft;
   401   pExpr->pLeft->flags = (pExpr->pLeft->flags & ~EP_ExpCollate) | expRight;
   402   SWAP(Expr*,pExpr->pRight,pExpr->pLeft);
   403   if( pExpr->op>=TK_GT ){
   404     assert( TK_LT==TK_GT+2 );
   405     assert( TK_GE==TK_LE+2 );
   406     assert( TK_GT>TK_EQ );
   407     assert( TK_GT<TK_LE );
   408     assert( pExpr->op>=TK_GT && pExpr->op<=TK_GE );
   409     pExpr->op = ((pExpr->op-TK_GT)^2)+TK_GT;
   410   }
   411 }
   412 
   413 /*
   414 ** Translate from TK_xx operator to WO_xx bitmask.
   415 */
   416 static int operatorMask(int op){
   417   int c;
   418   assert( allowedOp(op) );
   419   if( op==TK_IN ){
   420     c = WO_IN;
   421   }else if( op==TK_ISNULL ){
   422     c = WO_ISNULL;
   423   }else{
   424     c = WO_EQ<<(op-TK_EQ);
   425   }
   426   assert( op!=TK_ISNULL || c==WO_ISNULL );
   427   assert( op!=TK_IN || c==WO_IN );
   428   assert( op!=TK_EQ || c==WO_EQ );
   429   assert( op!=TK_LT || c==WO_LT );
   430   assert( op!=TK_LE || c==WO_LE );
   431   assert( op!=TK_GT || c==WO_GT );
   432   assert( op!=TK_GE || c==WO_GE );
   433   return c;
   434 }
   435 
   436 /*
   437 ** Search for a term in the WHERE clause that is of the form "X <op> <expr>"
   438 ** where X is a reference to the iColumn of table iCur and <op> is one of
   439 ** the WO_xx operator codes specified by the op parameter.
   440 ** Return a pointer to the term.  Return 0 if not found.
   441 */
   442 static WhereTerm *findTerm(
   443   WhereClause *pWC,     /* The WHERE clause to be searched */
   444   int iCur,             /* Cursor number of LHS */
   445   int iColumn,          /* Column number of LHS */
   446   Bitmask notReady,     /* RHS must not overlap with this mask */
   447   u16 op,               /* Mask of WO_xx values describing operator */
   448   Index *pIdx           /* Must be compatible with this index, if not NULL */
   449 ){
   450   WhereTerm *pTerm;
   451   int k;
   452   for(pTerm=pWC->a, k=pWC->nTerm; k; k--, pTerm++){
   453     if( pTerm->leftCursor==iCur
   454        && (pTerm->prereqRight & notReady)==0
   455        && pTerm->leftColumn==iColumn
   456        && (pTerm->eOperator & op)!=0
   457     ){
   458       if( iCur>=0 && pIdx && pTerm->eOperator!=WO_ISNULL ){
   459         Expr *pX = pTerm->pExpr;
   460         CollSeq *pColl;
   461         char idxaff;
   462         int j;
   463         Parse *pParse = pWC->pParse;
   464 
   465         idxaff = pIdx->pTable->aCol[iColumn].affinity;
   466         if( !sqlite3IndexAffinityOk(pX, idxaff) ) continue;
   467 
   468         /* Figure out the collation sequence required from an index for
   469         ** it to be useful for optimising expression pX. Store this
   470         ** value in variable pColl.
   471         */
   472         assert(pX->pLeft);
   473         pColl = sqlite3BinaryCompareCollSeq(pParse, pX->pLeft, pX->pRight);
   474         if( !pColl ){
   475           pColl = pParse->db->pDfltColl;
   476         }
   477 
   478         for(j=0; j<pIdx->nColumn && pIdx->aiColumn[j]!=iColumn; j++){}
   479         assert( j<pIdx->nColumn );
   480         if( sqlite3StrICmp(pColl->zName, pIdx->azColl[j]) ) continue;
   481       }
   482       return pTerm;
   483     }
   484   }
   485   return 0;
   486 }
   487 
   488 /* Forward reference */
   489 static void exprAnalyze(SrcList*, WhereClause*, int);
   490 
   491 /*
   492 ** Call exprAnalyze on all terms in a WHERE clause.  
   493 **
   494 **
   495 */
   496 static void exprAnalyzeAll(
   497   SrcList *pTabList,       /* the FROM clause */
   498   WhereClause *pWC         /* the WHERE clause to be analyzed */
   499 ){
   500   int i;
   501   for(i=pWC->nTerm-1; i>=0; i--){
   502     exprAnalyze(pTabList, pWC, i);
   503   }
   504 }
   505 
   506 #ifndef SQLITE_OMIT_LIKE_OPTIMIZATION
   507 /*
   508 ** Check to see if the given expression is a LIKE or GLOB operator that
   509 ** can be optimized using inequality constraints.  Return TRUE if it is
   510 ** so and false if not.
   511 **
   512 ** In order for the operator to be optimizible, the RHS must be a string
   513 ** literal that does not begin with a wildcard.  
   514 */
   515 static int isLikeOrGlob(
   516   sqlite3 *db,      /* The database */
   517   Expr *pExpr,      /* Test this expression */
   518   int *pnPattern,   /* Number of non-wildcard prefix characters */
   519   int *pisComplete  /* True if the only wildcard is % in the last character */
   520 ){
   521   const char *z;
   522   Expr *pRight, *pLeft;
   523   ExprList *pList;
   524   int c, cnt;
   525   int noCase;
   526   char wc[3];
   527   CollSeq *pColl;
   528 
   529   if( !sqlite3IsLikeFunction(db, pExpr, &noCase, wc) ){
   530     return 0;
   531   }
   532   pList = pExpr->pList;
   533   pRight = pList->a[0].pExpr;
   534   if( pRight->op!=TK_STRING ){
   535     return 0;
   536   }
   537   pLeft = pList->a[1].pExpr;
   538   if( pLeft->op!=TK_COLUMN ){
   539     return 0;
   540   }
   541   pColl = pLeft->pColl;
   542   if( pColl==0 ){
   543     /* TODO: Coverage testing doesn't get this case. Is it actually possible
   544     ** for an expression of type TK_COLUMN to not have an assigned collation 
   545     ** sequence at this point?
   546     */
   547     pColl = db->pDfltColl;
   548   }
   549   if( (pColl->type!=SQLITE_COLL_BINARY || noCase) &&
   550       (pColl->type!=SQLITE_COLL_NOCASE || !noCase) ){
   551     return 0;
   552   }
   553   sqlite3DequoteExpr(db, pRight);
   554   z = (char *)pRight->token.z;
   555   for(cnt=0; (c=z[cnt])!=0 && c!=wc[0] && c!=wc[1] && c!=wc[2]; cnt++){}
   556   if( cnt==0 || 255==(u8)z[cnt] ){
   557     return 0;
   558   }
   559   *pisComplete = z[cnt]==wc[0] && z[cnt+1]==0;
   560   *pnPattern = cnt;
   561   return 1;
   562 }
   563 #endif /* SQLITE_OMIT_LIKE_OPTIMIZATION */
   564 
   565 
   566 #ifndef SQLITE_OMIT_VIRTUALTABLE
   567 /*
   568 ** Check to see if the given expression is of the form
   569 **
   570 **         column MATCH expr
   571 **
   572 ** If it is then return TRUE.  If not, return FALSE.
   573 */
   574 static int isMatchOfColumn(
   575   Expr *pExpr      /* Test this expression */
   576 ){
   577   ExprList *pList;
   578 
   579   if( pExpr->op!=TK_FUNCTION ){
   580     return 0;
   581   }
   582   if( pExpr->token.n!=5 ||
   583        sqlite3StrNICmp((const char*)pExpr->token.z,"match",5)!=0 ){
   584     return 0;
   585   }
   586   pList = pExpr->pList;
   587   if( pList->nExpr!=2 ){
   588     return 0;
   589   }
   590   if( pList->a[1].pExpr->op != TK_COLUMN ){
   591     return 0;
   592   }
   593   return 1;
   594 }
   595 #endif /* SQLITE_OMIT_VIRTUALTABLE */
   596 
   597 /*
   598 ** If the pBase expression originated in the ON or USING clause of
   599 ** a join, then transfer the appropriate markings over to derived.
   600 */
   601 static void transferJoinMarkings(Expr *pDerived, Expr *pBase){
   602   pDerived->flags |= pBase->flags & EP_FromJoin;
   603   pDerived->iRightJoinTable = pBase->iRightJoinTable;
   604 }
   605 
   606 #if !defined(SQLITE_OMIT_OR_OPTIMIZATION) && !defined(SQLITE_OMIT_SUBQUERY)
   607 /*
   608 ** Return TRUE if the given term of an OR clause can be converted
   609 ** into an IN clause.  The iCursor and iColumn define the left-hand
   610 ** side of the IN clause.
   611 **
   612 ** The context is that we have multiple OR-connected equality terms
   613 ** like this:
   614 **
   615 **           a=<expr1> OR  a=<expr2> OR b=<expr3>  OR ...
   616 **
   617 ** The pOrTerm input to this routine corresponds to a single term of
   618 ** this OR clause.  In order for the term to be a condidate for
   619 ** conversion to an IN operator, the following must be true:
   620 **
   621 **     *  The left-hand side of the term must be the column which
   622 **        is identified by iCursor and iColumn.
   623 **
   624 **     *  If the right-hand side is also a column, then the affinities
   625 **        of both right and left sides must be such that no type
   626 **        conversions are required on the right.  (Ticket #2249)
   627 **
   628 ** If both of these conditions are true, then return true.  Otherwise
   629 ** return false.
   630 */
   631 static int orTermIsOptCandidate(WhereTerm *pOrTerm, int iCursor, int iColumn){
   632   int affLeft, affRight;
   633   assert( pOrTerm->eOperator==WO_EQ );
   634   if( pOrTerm->leftCursor!=iCursor ){
   635     return 0;
   636   }
   637   if( pOrTerm->leftColumn!=iColumn ){
   638     return 0;
   639   }
   640   affRight = sqlite3ExprAffinity(pOrTerm->pExpr->pRight);
   641   if( affRight==0 ){
   642     return 1;
   643   }
   644   affLeft = sqlite3ExprAffinity(pOrTerm->pExpr->pLeft);
   645   if( affRight!=affLeft ){
   646     return 0;
   647   }
   648   return 1;
   649 }
   650 
   651 /*
   652 ** Return true if the given term of an OR clause can be ignored during
   653 ** a check to make sure all OR terms are candidates for optimization.
   654 ** In other words, return true if a call to the orTermIsOptCandidate()
   655 ** above returned false but it is not necessary to disqualify the
   656 ** optimization.
   657 **
   658 ** Suppose the original OR phrase was this:
   659 **
   660 **           a=4  OR  a=11  OR  a=b
   661 **
   662 ** During analysis, the third term gets flipped around and duplicate
   663 ** so that we are left with this:
   664 **
   665 **           a=4  OR  a=11  OR  a=b  OR  b=a
   666 **
   667 ** Since the last two terms are duplicates, only one of them
   668 ** has to qualify in order for the whole phrase to qualify.  When
   669 ** this routine is called, we know that pOrTerm did not qualify.
   670 ** This routine merely checks to see if pOrTerm has a duplicate that
   671 ** might qualify.  If there is a duplicate that has not yet been
   672 ** disqualified, then return true.  If there are no duplicates, or
   673 ** the duplicate has also been disqualifed, return false.
   674 */
   675 static int orTermHasOkDuplicate(WhereClause *pOr, WhereTerm *pOrTerm){
   676   if( pOrTerm->flags & TERM_COPIED ){
   677     /* This is the original term.  The duplicate is to the left had
   678     ** has not yet been analyzed and thus has not yet been disqualified. */
   679     return 1;
   680   }
   681   if( (pOrTerm->flags & TERM_VIRTUAL)!=0
   682      && (pOr->a[pOrTerm->iParent].flags & TERM_OR_OK)!=0 ){
   683     /* This is a duplicate term.  The original qualified so this one
   684     ** does not have to. */
   685     return 1;
   686   }
   687   /* This is either a singleton term or else it is a duplicate for
   688   ** which the original did not qualify.  Either way we are done for. */
   689   return 0;
   690 }
   691 #endif /* !SQLITE_OMIT_OR_OPTIMIZATION && !SQLITE_OMIT_SUBQUERY */
   692 
   693 /*
   694 ** The input to this routine is an WhereTerm structure with only the
   695 ** "pExpr" field filled in.  The job of this routine is to analyze the
   696 ** subexpression and populate all the other fields of the WhereTerm
   697 ** structure.
   698 **
   699 ** If the expression is of the form "<expr> <op> X" it gets commuted
   700 ** to the standard form of "X <op> <expr>".  If the expression is of
   701 ** the form "X <op> Y" where both X and Y are columns, then the original
   702 ** expression is unchanged and a new virtual expression of the form
   703 ** "Y <op> X" is added to the WHERE clause and analyzed separately.
   704 */
   705 static void exprAnalyze(
   706   SrcList *pSrc,            /* the FROM clause */
   707   WhereClause *pWC,         /* the WHERE clause */
   708   int idxTerm               /* Index of the term to be analyzed */
   709 ){
   710   WhereTerm *pTerm = &pWC->a[idxTerm];
   711   ExprMaskSet *pMaskSet = pWC->pMaskSet;
   712   Expr *pExpr = pTerm->pExpr;
   713   Bitmask prereqLeft;
   714   Bitmask prereqAll;
   715   int nPattern;
   716   int isComplete;
   717   int op;
   718   Parse *pParse = pWC->pParse;
   719   sqlite3 *db = pParse->db;
   720 
   721   if( db->mallocFailed ) return;
   722   prereqLeft = exprTableUsage(pMaskSet, pExpr->pLeft);
   723   op = pExpr->op;
   724   if( op==TK_IN ){
   725     assert( pExpr->pRight==0 );
   726     pTerm->prereqRight = exprListTableUsage(pMaskSet, pExpr->pList)
   727                           | exprSelectTableUsage(pMaskSet, pExpr->pSelect);
   728   }else if( op==TK_ISNULL ){
   729     pTerm->prereqRight = 0;
   730   }else{
   731     pTerm->prereqRight = exprTableUsage(pMaskSet, pExpr->pRight);
   732   }
   733   prereqAll = exprTableUsage(pMaskSet, pExpr);
   734   if( ExprHasProperty(pExpr, EP_FromJoin) ){
   735     prereqAll |= getMask(pMaskSet, pExpr->iRightJoinTable);
   736   }
   737   pTerm->prereqAll = prereqAll;
   738   pTerm->leftCursor = -1;
   739   pTerm->iParent = -1;
   740   pTerm->eOperator = 0;
   741   if( allowedOp(op) && (pTerm->prereqRight & prereqLeft)==0 ){
   742     Expr *pLeft = pExpr->pLeft;
   743     Expr *pRight = pExpr->pRight;
   744     if( pLeft->op==TK_COLUMN ){
   745       pTerm->leftCursor = pLeft->iTable;
   746       pTerm->leftColumn = pLeft->iColumn;
   747       pTerm->eOperator = operatorMask(op);
   748     }
   749     if( pRight && pRight->op==TK_COLUMN ){
   750       WhereTerm *pNew;
   751       Expr *pDup;
   752       if( pTerm->leftCursor>=0 ){
   753         int idxNew;
   754         pDup = sqlite3ExprDup(db, pExpr);
   755         if( db->mallocFailed ){
   756           sqlite3ExprDelete(pDup);
   757           return;
   758         }
   759         idxNew = whereClauseInsert(pWC, pDup, TERM_VIRTUAL|TERM_DYNAMIC);
   760         if( idxNew==0 ) return;
   761         pNew = &pWC->a[idxNew];
   762         pNew->iParent = idxTerm;
   763         pTerm = &pWC->a[idxTerm];
   764         pTerm->nChild = 1;
   765         pTerm->flags |= TERM_COPIED;
   766       }else{
   767         pDup = pExpr;
   768         pNew = pTerm;
   769       }
   770       exprCommute(pDup);
   771       pLeft = pDup->pLeft;
   772       pNew->leftCursor = pLeft->iTable;
   773       pNew->leftColumn = pLeft->iColumn;
   774       pNew->prereqRight = prereqLeft;
   775       pNew->prereqAll = prereqAll;
   776       pNew->eOperator = operatorMask(pDup->op);
   777     }
   778   }
   779 
   780 #ifndef SQLITE_OMIT_BETWEEN_OPTIMIZATION
   781   /* If a term is the BETWEEN operator, create two new virtual terms
   782   ** that define the range that the BETWEEN implements.
   783   */
   784   else if( pExpr->op==TK_BETWEEN ){
   785     ExprList *pList = pExpr->pList;
   786     int i;
   787     static const u8 ops[] = {TK_GE, TK_LE};
   788     assert( pList!=0 );
   789     assert( pList->nExpr==2 );
   790     for(i=0; i<2; i++){
   791       Expr *pNewExpr;
   792       int idxNew;
   793       pNewExpr = sqlite3Expr(db, ops[i], sqlite3ExprDup(db, pExpr->pLeft),
   794                              sqlite3ExprDup(db, pList->a[i].pExpr), 0);
   795       idxNew = whereClauseInsert(pWC, pNewExpr, TERM_VIRTUAL|TERM_DYNAMIC);
   796       exprAnalyze(pSrc, pWC, idxNew);
   797       pTerm = &pWC->a[idxTerm];
   798       pWC->a[idxNew].iParent = idxTerm;
   799     }
   800     pTerm->nChild = 2;
   801   }
   802 #endif /* SQLITE_OMIT_BETWEEN_OPTIMIZATION */
   803 
   804 #if !defined(SQLITE_OMIT_OR_OPTIMIZATION) && !defined(SQLITE_OMIT_SUBQUERY)
   805   /* Attempt to convert OR-connected terms into an IN operator so that
   806   ** they can make use of indices.  Example:
   807   **
   808   **      x = expr1  OR  expr2 = x  OR  x = expr3
   809   **
   810   ** is converted into
   811   **
   812   **      x IN (expr1,expr2,expr3)
   813   **
   814   ** This optimization must be omitted if OMIT_SUBQUERY is defined because
   815   ** the compiler for the the IN operator is part of sub-queries.
   816   */
   817   else if( pExpr->op==TK_OR ){
   818     int ok;
   819     int i, j;
   820     int iColumn, iCursor;
   821     WhereClause sOr;
   822     WhereTerm *pOrTerm;
   823 
   824     assert( (pTerm->flags & TERM_DYNAMIC)==0 );
   825     whereClauseInit(&sOr, pWC->pParse, pMaskSet);
   826     whereSplit(&sOr, pExpr, TK_OR);
   827     exprAnalyzeAll(pSrc, &sOr);
   828     assert( sOr.nTerm>=2 );
   829     j = 0;
   830     do{
   831       assert( j<sOr.nTerm );
   832       iColumn = sOr.a[j].leftColumn;
   833       iCursor = sOr.a[j].leftCursor;
   834       ok = iCursor>=0;
   835       for(i=sOr.nTerm-1, pOrTerm=sOr.a; i>=0 && ok; i--, pOrTerm++){
   836         if( pOrTerm->eOperator!=WO_EQ ){
   837           goto or_not_possible;
   838         }
   839         if( orTermIsOptCandidate(pOrTerm, iCursor, iColumn) ){
   840           pOrTerm->flags |= TERM_OR_OK;
   841         }else if( orTermHasOkDuplicate(&sOr, pOrTerm) ){
   842           pOrTerm->flags &= ~TERM_OR_OK;
   843         }else{
   844           ok = 0;
   845         }
   846       }
   847     }while( !ok && (sOr.a[j++].flags & TERM_COPIED)!=0 && j<2 );
   848     if( ok ){
   849       ExprList *pList = 0;
   850       Expr *pNew, *pDup;
   851       Expr *pLeft = 0;
   852       for(i=sOr.nTerm-1, pOrTerm=sOr.a; i>=0 && ok; i--, pOrTerm++){
   853         if( (pOrTerm->flags & TERM_OR_OK)==0 ) continue;
   854         pDup = sqlite3ExprDup(db, pOrTerm->pExpr->pRight);
   855         pList = sqlite3ExprListAppend(pWC->pParse, pList, pDup, 0);
   856         pLeft = pOrTerm->pExpr->pLeft;
   857       }
   858       assert( pLeft!=0 );
   859       pDup = sqlite3ExprDup(db, pLeft);
   860       pNew = sqlite3Expr(db, TK_IN, pDup, 0, 0);
   861       if( pNew ){
   862         int idxNew;
   863         transferJoinMarkings(pNew, pExpr);
   864         pNew->pList = pList;
   865         idxNew = whereClauseInsert(pWC, pNew, TERM_VIRTUAL|TERM_DYNAMIC);
   866         exprAnalyze(pSrc, pWC, idxNew);
   867         pTerm = &pWC->a[idxTerm];
   868         pWC->a[idxNew].iParent = idxTerm;
   869         pTerm->nChild = 1;
   870       }else{
   871         sqlite3ExprListDelete(pList);
   872       }
   873     }
   874 or_not_possible:
   875     whereClauseClear(&sOr);
   876   }
   877 #endif /* SQLITE_OMIT_OR_OPTIMIZATION */
   878 
   879 #ifndef SQLITE_OMIT_LIKE_OPTIMIZATION
   880   /* Add constraints to reduce the search space on a LIKE or GLOB
   881   ** operator.
   882   */
   883   if( isLikeOrGlob(db, pExpr, &nPattern, &isComplete) ){
   884     Expr *pLeft, *pRight;
   885     Expr *pStr1, *pStr2;
   886     Expr *pNewExpr1, *pNewExpr2;
   887     int idxNew1, idxNew2;
   888 
   889     pLeft = pExpr->pList->a[1].pExpr;
   890     pRight = pExpr->pList->a[0].pExpr;
   891     pStr1 = sqlite3PExpr(pParse, TK_STRING, 0, 0, 0);
   892     if( pStr1 ){
   893       sqlite3TokenCopy(db, &pStr1->token, &pRight->token);
   894       pStr1->token.n = nPattern;
   895       pStr1->flags = EP_Dequoted;
   896     }
   897     pStr2 = sqlite3ExprDup(db, pStr1);
   898     if( pStr2 ){
   899       assert( pStr2->token.dyn );
   900       ++*(u8*)&pStr2->token.z[nPattern-1];
   901     }
   902     pNewExpr1 = sqlite3PExpr(pParse, TK_GE, sqlite3ExprDup(db,pLeft), pStr1, 0);
   903     idxNew1 = whereClauseInsert(pWC, pNewExpr1, TERM_VIRTUAL|TERM_DYNAMIC);
   904     exprAnalyze(pSrc, pWC, idxNew1);
   905     pNewExpr2 = sqlite3PExpr(pParse, TK_LT, sqlite3ExprDup(db,pLeft), pStr2, 0);
   906     idxNew2 = whereClauseInsert(pWC, pNewExpr2, TERM_VIRTUAL|TERM_DYNAMIC);
   907     exprAnalyze(pSrc, pWC, idxNew2);
   908     pTerm = &pWC->a[idxTerm];
   909     if( isComplete ){
   910       pWC->a[idxNew1].iParent = idxTerm;
   911       pWC->a[idxNew2].iParent = idxTerm;
   912       pTerm->nChild = 2;
   913     }
   914   }
   915 #endif /* SQLITE_OMIT_LIKE_OPTIMIZATION */
   916 
   917 #ifndef SQLITE_OMIT_VIRTUALTABLE
   918   /* Add a WO_MATCH auxiliary term to the constraint set if the
   919   ** current expression is of the form:  column MATCH expr.
   920   ** This information is used by the xBestIndex methods of
   921   ** virtual tables.  The native query optimizer does not attempt
   922   ** to do anything with MATCH functions.
   923   */
   924   if( isMatchOfColumn(pExpr) ){
   925     int idxNew;
   926     Expr *pRight, *pLeft;
   927     WhereTerm *pNewTerm;
   928     Bitmask prereqColumn, prereqExpr;
   929 
   930     pRight = pExpr->pList->a[0].pExpr;
   931     pLeft = pExpr->pList->a[1].pExpr;
   932     prereqExpr = exprTableUsage(pMaskSet, pRight);
   933     prereqColumn = exprTableUsage(pMaskSet, pLeft);
   934     if( (prereqExpr & prereqColumn)==0 ){
   935       Expr *pNewExpr;
   936       pNewExpr = sqlite3Expr(db, TK_MATCH, 0, sqlite3ExprDup(db, pRight), 0);
   937       idxNew = whereClauseInsert(pWC, pNewExpr, TERM_VIRTUAL|TERM_DYNAMIC);
   938       pNewTerm = &pWC->a[idxNew];
   939       pNewTerm->prereqRight = prereqExpr;
   940       pNewTerm->leftCursor = pLeft->iTable;
   941       pNewTerm->leftColumn = pLeft->iColumn;
   942       pNewTerm->eOperator = WO_MATCH;
   943       pNewTerm->iParent = idxTerm;
   944       pTerm = &pWC->a[idxTerm];
   945       pTerm->nChild = 1;
   946       pTerm->flags |= TERM_COPIED;
   947       pNewTerm->prereqAll = pTerm->prereqAll;
   948     }
   949   }
   950 #endif /* SQLITE_OMIT_VIRTUALTABLE */
   951 }
   952 
   953 /*
   954 ** Return TRUE if any of the expressions in pList->a[iFirst...] contain
   955 ** a reference to any table other than the iBase table.
   956 */
   957 static int referencesOtherTables(
   958   ExprList *pList,          /* Search expressions in ths list */
   959   ExprMaskSet *pMaskSet,    /* Mapping from tables to bitmaps */
   960   int iFirst,               /* Be searching with the iFirst-th expression */
   961   int iBase                 /* Ignore references to this table */
   962 ){
   963   Bitmask allowed = ~getMask(pMaskSet, iBase);
   964   while( iFirst<pList->nExpr ){
   965     if( (exprTableUsage(pMaskSet, pList->a[iFirst++].pExpr)&allowed)!=0 ){
   966       return 1;
   967     }
   968   }
   969   return 0;
   970 }
   971 
   972 
   973 /*
   974 ** This routine decides if pIdx can be used to satisfy the ORDER BY
   975 ** clause.  If it can, it returns 1.  If pIdx cannot satisfy the
   976 ** ORDER BY clause, this routine returns 0.
   977 **
   978 ** pOrderBy is an ORDER BY clause from a SELECT statement.  pTab is the
   979 ** left-most table in the FROM clause of that same SELECT statement and
   980 ** the table has a cursor number of "base".  pIdx is an index on pTab.
   981 **
   982 ** nEqCol is the number of columns of pIdx that are used as equality
   983 ** constraints.  Any of these columns may be missing from the ORDER BY
   984 ** clause and the match can still be a success.
   985 **
   986 ** All terms of the ORDER BY that match against the index must be either
   987 ** ASC or DESC.  (Terms of the ORDER BY clause past the end of a UNIQUE
   988 ** index do not need to satisfy this constraint.)  The *pbRev value is
   989 ** set to 1 if the ORDER BY clause is all DESC and it is set to 0 if
   990 ** the ORDER BY clause is all ASC.
   991 */
   992 static int isSortingIndex(
   993   Parse *pParse,          /* Parsing context */
   994   ExprMaskSet *pMaskSet,  /* Mapping from table indices to bitmaps */
   995   Index *pIdx,            /* The index we are testing */
   996   int base,               /* Cursor number for the table to be sorted */
   997   ExprList *pOrderBy,     /* The ORDER BY clause */
   998   int nEqCol,             /* Number of index columns with == constraints */
   999   int *pbRev              /* Set to 1 if ORDER BY is DESC */
  1000 ){
  1001   int i, j;                       /* Loop counters */
  1002   int sortOrder = 0;              /* XOR of index and ORDER BY sort direction */
  1003   int nTerm;                      /* Number of ORDER BY terms */
  1004   struct ExprList_item *pTerm;    /* A term of the ORDER BY clause */
  1005   sqlite3 *db = pParse->db;
  1006 
  1007   assert( pOrderBy!=0 );
  1008   nTerm = pOrderBy->nExpr;
  1009   assert( nTerm>0 );
  1010 
  1011   /* Match terms of the ORDER BY clause against columns of
  1012   ** the index.
  1013   **
  1014   ** Note that indices have pIdx->nColumn regular columns plus
  1015   ** one additional column containing the rowid.  The rowid column
  1016   ** of the index is also allowed to match against the ORDER BY
  1017   ** clause.
  1018   */
  1019   for(i=j=0, pTerm=pOrderBy->a; j<nTerm && i<=pIdx->nColumn; i++){
  1020     Expr *pExpr;       /* The expression of the ORDER BY pTerm */
  1021     CollSeq *pColl;    /* The collating sequence of pExpr */
  1022     int termSortOrder; /* Sort order for this term */
  1023     int iColumn;       /* The i-th column of the index.  -1 for rowid */
  1024     int iSortOrder;    /* 1 for DESC, 0 for ASC on the i-th index term */
  1025     const char *zColl; /* Name of the collating sequence for i-th index term */
  1026 
  1027     pExpr = pTerm->pExpr;
  1028     if( pExpr->op!=TK_COLUMN || pExpr->iTable!=base ){
  1029       /* Can not use an index sort on anything that is not a column in the
  1030       ** left-most table of the FROM clause */
  1031       break;
  1032     }
  1033     pColl = sqlite3ExprCollSeq(pParse, pExpr);
  1034     if( !pColl ){
  1035       pColl = db->pDfltColl;
  1036     }
  1037     if( i<pIdx->nColumn ){
  1038       iColumn = pIdx->aiColumn[i];
  1039       if( iColumn==pIdx->pTable->iPKey ){
  1040         iColumn = -1;
  1041       }
  1042       iSortOrder = pIdx->aSortOrder[i];
  1043       zColl = pIdx->azColl[i];
  1044     }else{
  1045       iColumn = -1;
  1046       iSortOrder = 0;
  1047       zColl = pColl->zName;
  1048     }
  1049     if( pExpr->iColumn!=iColumn || sqlite3StrICmp(pColl->zName, zColl) ){
  1050       /* Term j of the ORDER BY clause does not match column i of the index */
  1051       if( i<nEqCol ){
  1052         /* If an index column that is constrained by == fails to match an
  1053         ** ORDER BY term, that is OK.  Just ignore that column of the index
  1054         */
  1055         continue;
  1056       }else{
  1057         /* If an index column fails to match and is not constrained by ==
  1058         ** then the index cannot satisfy the ORDER BY constraint.
  1059         */
  1060         return 0;
  1061       }
  1062     }
  1063     assert( pIdx->aSortOrder!=0 );
  1064     assert( pTerm->sortOrder==0 || pTerm->sortOrder==1 );
  1065     assert( iSortOrder==0 || iSortOrder==1 );
  1066     termSortOrder = iSortOrder ^ pTerm->sortOrder;
  1067     if( i>nEqCol ){
  1068       if( termSortOrder!=sortOrder ){
  1069         /* Indices can only be used if all ORDER BY terms past the
  1070         ** equality constraints are all either DESC or ASC. */
  1071         return 0;
  1072       }
  1073     }else{
  1074       sortOrder = termSortOrder;
  1075     }
  1076     j++;
  1077     pTerm++;
  1078     if( iColumn<0 && !referencesOtherTables(pOrderBy, pMaskSet, j, base) ){
  1079       /* If the indexed column is the primary key and everything matches
  1080       ** so far and none of the ORDER BY terms to the right reference other
  1081       ** tables in the join, then we are assured that the index can be used 
  1082       ** to sort because the primary key is unique and so none of the other
  1083       ** columns will make any difference
  1084       */
  1085       j = nTerm;
  1086     }
  1087   }
  1088 
  1089   *pbRev = sortOrder!=0;
  1090   if( j>=nTerm ){
  1091     /* All terms of the ORDER BY clause are covered by this index so
  1092     ** this index can be used for sorting. */
  1093     return 1;
  1094   }
  1095   if( pIdx->onError!=OE_None && i==pIdx->nColumn
  1096       && !referencesOtherTables(pOrderBy, pMaskSet, j, base) ){
  1097     /* All terms of this index match some prefix of the ORDER BY clause
  1098     ** and the index is UNIQUE and no terms on the tail of the ORDER BY
  1099     ** clause reference other tables in a join.  If this is all true then
  1100     ** the order by clause is superfluous. */
  1101     return 1;
  1102   }
  1103   return 0;
  1104 }
  1105 
  1106 /*
  1107 ** Check table to see if the ORDER BY clause in pOrderBy can be satisfied
  1108 ** by sorting in order of ROWID.  Return true if so and set *pbRev to be
  1109 ** true for reverse ROWID and false for forward ROWID order.
  1110 */
  1111 static int sortableByRowid(
  1112   int base,               /* Cursor number for table to be sorted */
  1113   ExprList *pOrderBy,     /* The ORDER BY clause */
  1114   ExprMaskSet *pMaskSet,  /* Mapping from tables to bitmaps */
  1115   int *pbRev              /* Set to 1 if ORDER BY is DESC */
  1116 ){
  1117   Expr *p;
  1118 
  1119   assert( pOrderBy!=0 );
  1120   assert( pOrderBy->nExpr>0 );
  1121   p = pOrderBy->a[0].pExpr;
  1122   if( p->op==TK_COLUMN && p->iTable==base && p->iColumn==-1
  1123     && !referencesOtherTables(pOrderBy, pMaskSet, 1, base) ){
  1124     *pbRev = pOrderBy->a[0].sortOrder;
  1125     return 1;
  1126   }
  1127   return 0;
  1128 }
  1129 
  1130 /*
  1131 ** Prepare a crude estimate of the logarithm of the input value.
  1132 ** The results need not be exact.  This is only used for estimating
  1133 ** the total cost of performing operatings with O(logN) or O(NlogN)
  1134 ** complexity.  Because N is just a guess, it is no great tragedy if
  1135 ** logN is a little off.
  1136 */
  1137 static double estLog(double N){
  1138   double logN = 1;
  1139   double x = 10;
  1140   while( N>x ){
  1141     logN += 1;
  1142     x *= 10;
  1143   }
  1144   return logN;
  1145 }
  1146 
  1147 /*
  1148 ** Two routines for printing the content of an sqlite3_index_info
  1149 ** structure.  Used for testing and debugging only.  If neither
  1150 ** SQLITE_TEST or SQLITE_DEBUG are defined, then these routines
  1151 ** are no-ops.
  1152 */
  1153 #if !defined(SQLITE_OMIT_VIRTUALTABLE) && defined(SQLITE_DEBUG)
  1154 static void TRACE_IDX_INPUTS(sqlite3_index_info *p){
  1155   int i;
  1156   if( !sqlite3_where_trace ) return;
  1157   for(i=0; i<p->nConstraint; i++){
  1158     sqlite3DebugPrintf("  constraint[%d]: col=%d termid=%d op=%d usabled=%d\n",
  1159        i,
  1160        p->aConstraint[i].iColumn,
  1161        p->aConstraint[i].iTermOffset,
  1162        p->aConstraint[i].op,
  1163        p->aConstraint[i].usable);
  1164   }
  1165   for(i=0; i<p->nOrderBy; i++){
  1166     sqlite3DebugPrintf("  orderby[%d]: col=%d desc=%d\n",
  1167        i,
  1168        p->aOrderBy[i].iColumn,
  1169        p->aOrderBy[i].desc);
  1170   }
  1171 }
  1172 static void TRACE_IDX_OUTPUTS(sqlite3_index_info *p){
  1173   int i;
  1174   if( !sqlite3_where_trace ) return;
  1175   for(i=0; i<p->nConstraint; i++){
  1176     sqlite3DebugPrintf("  usage[%d]: argvIdx=%d omit=%d\n",
  1177        i,
  1178        p->aConstraintUsage[i].argvIndex,
  1179        p->aConstraintUsage[i].omit);
  1180   }
  1181   sqlite3DebugPrintf("  idxNum=%d\n", p->idxNum);
  1182   sqlite3DebugPrintf("  idxStr=%s\n", p->idxStr);
  1183   sqlite3DebugPrintf("  orderByConsumed=%d\n", p->orderByConsumed);
  1184   sqlite3DebugPrintf("  estimatedCost=%g\n", p->estimatedCost);
  1185 }
  1186 #else
  1187 #define TRACE_IDX_INPUTS(A)
  1188 #define TRACE_IDX_OUTPUTS(A)
  1189 #endif
  1190 
  1191 #ifndef SQLITE_OMIT_VIRTUALTABLE
  1192 /*
  1193 ** Compute the best index for a virtual table.
  1194 **
  1195 ** The best index is computed by the xBestIndex method of the virtual
  1196 ** table module.  This routine is really just a wrapper that sets up
  1197 ** the sqlite3_index_info structure that is used to communicate with
  1198 ** xBestIndex.
  1199 **
  1200 ** In a join, this routine might be called multiple times for the
  1201 ** same virtual table.  The sqlite3_index_info structure is created
  1202 ** and initialized on the first invocation and reused on all subsequent
  1203 ** invocations.  The sqlite3_index_info structure is also used when
  1204 ** code is generated to access the virtual table.  The whereInfoDelete() 
  1205 ** routine takes care of freeing the sqlite3_index_info structure after
  1206 ** everybody has finished with it.
  1207 */
  1208 static double bestVirtualIndex(
  1209   Parse *pParse,                 /* The parsing context */
  1210   WhereClause *pWC,              /* The WHERE clause */
  1211   struct SrcList_item *pSrc,     /* The FROM clause term to search */
  1212   Bitmask notReady,              /* Mask of cursors that are not available */
  1213   ExprList *pOrderBy,            /* The order by clause */
  1214   int orderByUsable,             /* True if we can potential sort */
  1215   sqlite3_index_info **ppIdxInfo /* Index information passed to xBestIndex */
  1216 ){
  1217   Table *pTab = pSrc->pTab;
  1218   sqlite3_index_info *pIdxInfo;
  1219   struct sqlite3_index_constraint *pIdxCons;
  1220   struct sqlite3_index_orderby *pIdxOrderBy;
  1221   struct sqlite3_index_constraint_usage *pUsage;
  1222   WhereTerm *pTerm;
  1223   int i, j;
  1224   int nOrderBy;
  1225   int rc;
  1226 
  1227   /* If the sqlite3_index_info structure has not been previously
  1228   ** allocated and initialized for this virtual table, then allocate
  1229   ** and initialize it now
  1230   */
  1231   pIdxInfo = *ppIdxInfo;
  1232   if( pIdxInfo==0 ){
  1233     WhereTerm *pTerm;
  1234     int nTerm;
  1235     WHERETRACE(("Recomputing index info for %s...\n", pTab->zName));
  1236 
  1237     /* Count the number of possible WHERE clause constraints referring
  1238     ** to this virtual table */
  1239     for(i=nTerm=0, pTerm=pWC->a; i<pWC->nTerm; i++, pTerm++){
  1240       if( pTerm->leftCursor != pSrc->iCursor ) continue;
  1241       if( pTerm->eOperator==WO_IN ) continue;
  1242       nTerm++;
  1243     }
  1244 
  1245     /* If the ORDER BY clause contains only columns in the current 
  1246     ** virtual table then allocate space for the aOrderBy part of
  1247     ** the sqlite3_index_info structure.
  1248     */
  1249     nOrderBy = 0;
  1250     if( pOrderBy ){
  1251       for(i=0; i<pOrderBy->nExpr; i++){
  1252         Expr *pExpr = pOrderBy->a[i].pExpr;
  1253         if( pExpr->op!=TK_COLUMN || pExpr->iTable!=pSrc->iCursor ) break;
  1254       }
  1255       if( i==pOrderBy->nExpr ){
  1256         nOrderBy = pOrderBy->nExpr;
  1257       }
  1258     }
  1259 
  1260     /* Allocate the sqlite3_index_info structure
  1261     */
  1262     pIdxInfo = sqlite3DbMallocZero(pParse->db, sizeof(*pIdxInfo)
  1263                              + (sizeof(*pIdxCons) + sizeof(*pUsage))*nTerm
  1264                              + sizeof(*pIdxOrderBy)*nOrderBy );
  1265     if( pIdxInfo==0 ){
  1266       sqlite3ErrorMsg(pParse, "out of memory");
  1267       return 0.0;
  1268     }
  1269     *ppIdxInfo = pIdxInfo;
  1270 
  1271     /* Initialize the structure.  The sqlite3_index_info structure contains
  1272     ** many fields that are declared "const" to prevent xBestIndex from
  1273     ** changing them.  We have to do some funky casting in order to
  1274     ** initialize those fields.
  1275     */
  1276     pIdxCons = (struct sqlite3_index_constraint*)&pIdxInfo[1];
  1277     pIdxOrderBy = (struct sqlite3_index_orderby*)&pIdxCons[nTerm];
  1278     pUsage = (struct sqlite3_index_constraint_usage*)&pIdxOrderBy[nOrderBy];
  1279     *(int*)&pIdxInfo->nConstraint = nTerm;
  1280     *(int*)&pIdxInfo->nOrderBy = nOrderBy;
  1281     *(struct sqlite3_index_constraint**)&pIdxInfo->aConstraint = pIdxCons;
  1282     *(struct sqlite3_index_orderby**)&pIdxInfo->aOrderBy = pIdxOrderBy;
  1283     *(struct sqlite3_index_constraint_usage**)&pIdxInfo->aConstraintUsage =
  1284                                                                      pUsage;
  1285 
  1286     for(i=j=0, pTerm=pWC->a; i<pWC->nTerm; i++, pTerm++){
  1287       if( pTerm->leftCursor != pSrc->iCursor ) continue;
  1288       if( pTerm->eOperator==WO_IN ) continue;
  1289       pIdxCons[j].iColumn = pTerm->leftColumn;
  1290       pIdxCons[j].iTermOffset = i;
  1291       pIdxCons[j].op = pTerm->eOperator;
  1292       /* The direct assignment in the previous line is possible only because
  1293       ** the WO_ and SQLITE_INDEX_CONSTRAINT_ codes are identical.  The
  1294       ** following asserts verify this fact. */
  1295       assert( WO_EQ==SQLITE_INDEX_CONSTRAINT_EQ );
  1296       assert( WO_LT==SQLITE_INDEX_CONSTRAINT_LT );
  1297       assert( WO_LE==SQLITE_INDEX_CONSTRAINT_LE );
  1298       assert( WO_GT==SQLITE_INDEX_CONSTRAINT_GT );
  1299       assert( WO_GE==SQLITE_INDEX_CONSTRAINT_GE );
  1300       assert( WO_MATCH==SQLITE_INDEX_CONSTRAINT_MATCH );
  1301       assert( pTerm->eOperator & (WO_EQ|WO_LT|WO_LE|WO_GT|WO_GE|WO_MATCH) );
  1302       j++;
  1303     }
  1304     for(i=0; i<nOrderBy; i++){
  1305       Expr *pExpr = pOrderBy->a[i].pExpr;
  1306       pIdxOrderBy[i].iColumn = pExpr->iColumn;
  1307       pIdxOrderBy[i].desc = pOrderBy->a[i].sortOrder;
  1308     }
  1309   }
  1310 
  1311   /* At this point, the sqlite3_index_info structure that pIdxInfo points
  1312   ** to will have been initialized, either during the current invocation or
  1313   ** during some prior invocation.  Now we just have to customize the
  1314   ** details of pIdxInfo for the current invocation and pass it to
  1315   ** xBestIndex.
  1316   */
  1317 
  1318   /* The module name must be defined. Also, by this point there must
  1319   ** be a pointer to an sqlite3_vtab structure. Otherwise
  1320   ** sqlite3ViewGetColumnNames() would have picked up the error. 
  1321   */
  1322   assert( pTab->azModuleArg && pTab->azModuleArg[0] );
  1323   assert( pTab->pVtab );
  1324 #if 0
  1325   if( pTab->pVtab==0 ){
  1326     sqlite3ErrorMsg(pParse, "undefined module %s for table %s",
  1327         pTab->azModuleArg[0], pTab->zName);
  1328     return 0.0;
  1329   }
  1330 #endif
  1331 
  1332   /* Set the aConstraint[].usable fields and initialize all 
  1333   ** output variables to zero.
  1334   **
  1335   ** aConstraint[].usable is true for constraints where the right-hand
  1336   ** side contains only references to tables to the left of the current
  1337   ** table.  In other words, if the constraint is of the form:
  1338   **
  1339   **           column = expr
  1340   **
  1341   ** and we are evaluating a join, then the constraint on column is 
  1342   ** only valid if all tables referenced in expr occur to the left
  1343   ** of the table containing column.
  1344   **
  1345   ** The aConstraints[] array contains entries for all constraints
  1346   ** on the current table.  That way we only have to compute it once
  1347   ** even though we might try to pick the best index multiple times.
  1348   ** For each attempt at picking an index, the order of tables in the
  1349   ** join might be different so we have to recompute the usable flag
  1350   ** each time.
  1351   */
  1352   pIdxCons = *(struct sqlite3_index_constraint**)&pIdxInfo->aConstraint;
  1353   pUsage = pIdxInfo->aConstraintUsage;
  1354   for(i=0; i<pIdxInfo->nConstraint; i++, pIdxCons++){
  1355     j = pIdxCons->iTermOffset;
  1356     pTerm = &pWC->a[j];
  1357     pIdxCons->usable =  (pTerm->prereqRight & notReady)==0;
  1358   }
  1359   memset(pUsage, 0, sizeof(pUsage[0])*pIdxInfo->nConstraint);
  1360   if( pIdxInfo->needToFreeIdxStr ){
  1361     sqlite3_free(pIdxInfo->idxStr);
  1362   }
  1363   pIdxInfo->idxStr = 0;
  1364   pIdxInfo->idxNum = 0;
  1365   pIdxInfo->needToFreeIdxStr = 0;
  1366   pIdxInfo->orderByConsumed = 0;
  1367   pIdxInfo->estimatedCost = SQLITE_BIG_DBL / 2.0;
  1368   nOrderBy = pIdxInfo->nOrderBy;
  1369   if( pIdxInfo->nOrderBy && !orderByUsable ){
  1370     *(int*)&pIdxInfo->nOrderBy = 0;
  1371   }
  1372 
  1373   sqlite3SafetyOff(pParse->db);
  1374   WHERETRACE(("xBestIndex for %s\n", pTab->zName));
  1375   TRACE_IDX_INPUTS(pIdxInfo);
  1376   rc = pTab->pVtab->pModule->xBestIndex(pTab->pVtab, pIdxInfo);
  1377   TRACE_IDX_OUTPUTS(pIdxInfo);
  1378   if( rc!=SQLITE_OK ){
  1379     if( rc==SQLITE_NOMEM ){
  1380       pParse->db->mallocFailed = 1;
  1381     }else {
  1382       sqlite3ErrorMsg(pParse, "%s", sqlite3ErrStr(rc));
  1383     }
  1384     sqlite3SafetyOn(pParse->db);
  1385   }else{
  1386     rc = sqlite3SafetyOn(pParse->db);
  1387   }
  1388   *(int*)&pIdxInfo->nOrderBy = nOrderBy;
  1389 
  1390   return pIdxInfo->estimatedCost;
  1391 }
  1392 #endif /* SQLITE_OMIT_VIRTUALTABLE */
  1393 
  1394 /*
  1395 ** Find the best index for accessing a particular table.  Return a pointer
  1396 ** to the index, flags that describe how the index should be used, the
  1397 ** number of equality constraints, and the "cost" for this index.
  1398 **
  1399 ** The lowest cost index wins.  The cost is an estimate of the amount of
  1400 ** CPU and disk I/O need to process the request using the selected index.
  1401 ** Factors that influence cost include:
  1402 **
  1403 **    *  The estimated number of rows that will be retrieved.  (The
  1404 **       fewer the better.)
  1405 **
  1406 **    *  Whether or not sorting must occur.
  1407 **
  1408 **    *  Whether or not there must be separate lookups in the
  1409 **       index and in the main table.
  1410 **
  1411 */
  1412 static double bestIndex(
  1413   Parse *pParse,              /* The parsing context */
  1414   WhereClause *pWC,           /* The WHERE clause */
  1415   struct SrcList_item *pSrc,  /* The FROM clause term to search */
  1416   Bitmask notReady,           /* Mask of cursors that are not available */
  1417   ExprList *pOrderBy,         /* The order by clause */
  1418   Index **ppIndex,            /* Make *ppIndex point to the best index */
  1419   int *pFlags,                /* Put flags describing this choice in *pFlags */
  1420   int *pnEq                   /* Put the number of == or IN constraints here */
  1421 ){
  1422   WhereTerm *pTerm;
  1423   Index *bestIdx = 0;         /* Index that gives the lowest cost */
  1424   double lowestCost;          /* The cost of using bestIdx */
  1425   int bestFlags = 0;          /* Flags associated with bestIdx */
  1426   int bestNEq = 0;            /* Best value for nEq */
  1427   int iCur = pSrc->iCursor;   /* The cursor of the table to be accessed */
  1428   Index *pProbe;              /* An index we are evaluating */
  1429   int rev;                    /* True to scan in reverse order */
  1430   int flags;                  /* Flags associated with pProbe */
  1431   int nEq;                    /* Number of == or IN constraints */
  1432   int eqTermMask;             /* Mask of valid equality operators */
  1433   double cost;                /* Cost of using pProbe */
  1434 
  1435   WHERETRACE(("bestIndex: tbl=%s notReady=%x\n", pSrc->pTab->zName, notReady));
  1436   lowestCost = SQLITE_BIG_DBL;
  1437   pProbe = pSrc->pTab->pIndex;
  1438 
  1439   /* If the table has no indices and there are no terms in the where
  1440   ** clause that refer to the ROWID, then we will never be able to do
  1441   ** anything other than a full table scan on this table.  We might as
  1442   ** well put it first in the join order.  That way, perhaps it can be
  1443   ** referenced by other tables in the join.
  1444   */
  1445   if( pProbe==0 &&
  1446      findTerm(pWC, iCur, -1, 0, WO_EQ|WO_IN|WO_LT|WO_LE|WO_GT|WO_GE,0)==0 &&
  1447      (pOrderBy==0 || !sortableByRowid(iCur, pOrderBy, pWC->pMaskSet, &rev)) ){
  1448     *pFlags = 0;
  1449     *ppIndex = 0;
  1450     *pnEq = 0;
  1451     return 0.0;
  1452   }
  1453 
  1454   /* Check for a rowid=EXPR or rowid IN (...) constraints
  1455   */
  1456   pTerm = findTerm(pWC, iCur, -1, notReady, WO_EQ|WO_IN, 0);
  1457   if( pTerm ){
  1458     Expr *pExpr;
  1459     *ppIndex = 0;
  1460     bestFlags = WHERE_ROWID_EQ;
  1461     if( pTerm->eOperator & WO_EQ ){
  1462       /* Rowid== is always the best pick.  Look no further.  Because only
  1463       ** a single row is generated, output is always in sorted order */
  1464       *pFlags = WHERE_ROWID_EQ | WHERE_UNIQUE;
  1465       *pnEq = 1;
  1466       WHERETRACE(("... best is rowid\n"));
  1467       return 0.0;
  1468     }else if( (pExpr = pTerm->pExpr)->pList!=0 ){
  1469       /* Rowid IN (LIST): cost is NlogN where N is the number of list
  1470       ** elements.  */
  1471       lowestCost = pExpr->pList->nExpr;
  1472       lowestCost *= estLog(lowestCost);
  1473     }else{
  1474       /* Rowid IN (SELECT): cost is NlogN where N is the number of rows
  1475       ** in the result of the inner select.  We have no way to estimate
  1476       ** that value so make a wild guess. */
  1477       lowestCost = 200;
  1478     }
  1479     WHERETRACE(("... rowid IN cost: %.9g\n", lowestCost));
  1480   }
  1481 
  1482   /* Estimate the cost of a table scan.  If we do not know how many
  1483   ** entries are in the table, use 1 million as a guess.
  1484   */
  1485   cost = pProbe ? pProbe->aiRowEst[0] : 1000000;
  1486   WHERETRACE(("... table scan base cost: %.9g\n", cost));
  1487   flags = WHERE_ROWID_RANGE;
  1488 
  1489   /* Check for constraints on a range of rowids in a table scan.
  1490   */
  1491   pTerm = findTerm(pWC, iCur, -1, notReady, WO_LT|WO_LE|WO_GT|WO_GE, 0);
  1492   if( pTerm ){
  1493     if( findTerm(pWC, iCur, -1, notReady, WO_LT|WO_LE, 0) ){
  1494       flags |= WHERE_TOP_LIMIT;
  1495       cost /= 3;  /* Guess that rowid<EXPR eliminates two-thirds or rows */
  1496     }
  1497     if( findTerm(pWC, iCur, -1, notReady, WO_GT|WO_GE, 0) ){
  1498       flags |= WHERE_BTM_LIMIT;
  1499       cost /= 3;  /* Guess that rowid>EXPR eliminates two-thirds of rows */
  1500     }
  1501     WHERETRACE(("... rowid range reduces cost to %.9g\n", cost));
  1502   }else{
  1503     flags = 0;
  1504   }
  1505 
  1506   /* If the table scan does not satisfy the ORDER BY clause, increase
  1507   ** the cost by NlogN to cover the expense of sorting. */
  1508   if( pOrderBy ){
  1509     if( sortableByRowid(iCur, pOrderBy, pWC->pMaskSet, &rev) ){
  1510       flags |= WHERE_ORDERBY|WHERE_ROWID_RANGE;
  1511       if( rev ){
  1512         flags |= WHERE_REVERSE;
  1513       }
  1514     }else{
  1515       cost += cost*estLog(cost);
  1516       WHERETRACE(("... sorting increases cost to %.9g\n", cost));
  1517     }
  1518   }
  1519   if( cost<lowestCost ){
  1520     lowestCost = cost;
  1521     bestFlags = flags;
  1522   }
  1523 
  1524   /* If the pSrc table is the right table of a LEFT JOIN then we may not
  1525   ** use an index to satisfy IS NULL constraints on that table.  This is
  1526   ** because columns might end up being NULL if the table does not match -
  1527   ** a circumstance which the index cannot help us discover.  Ticket #2177.
  1528   */
  1529   if( (pSrc->jointype & JT_LEFT)!=0 ){
  1530     eqTermMask = WO_EQ|WO_IN;
  1531   }else{
  1532     eqTermMask = WO_EQ|WO_IN|WO_ISNULL;
  1533   }
  1534 
  1535   /* Look at each index.
  1536   */
  1537   for(; pProbe; pProbe=pProbe->pNext){
  1538     int i;                       /* Loop counter */
  1539     double inMultiplier = 1;
  1540 
  1541     WHERETRACE(("... index %s:\n", pProbe->zName));
  1542 
  1543     /* Count the number of columns in the index that are satisfied
  1544     ** by x=EXPR constraints or x IN (...) constraints.
  1545     */
  1546     flags = 0;
  1547     for(i=0; i<pProbe->nColumn; i++){
  1548       int j = pProbe->aiColumn[i];
  1549       pTerm = findTerm(pWC, iCur, j, notReady, eqTermMask, pProbe);
  1550       if( pTerm==0 ) break;
  1551       flags |= WHERE_COLUMN_EQ;
  1552       if( pTerm->eOperator & WO_IN ){
  1553         Expr *pExpr = pTerm->pExpr;
  1554         flags |= WHERE_COLUMN_IN;
  1555         if( pExpr->pSelect!=0 ){
  1556           inMultiplier *= 25;
  1557         }else if( pExpr->pList!=0 ){
  1558           inMultiplier *= pExpr->pList->nExpr + 1;
  1559         }
  1560       }
  1561     }
  1562     cost = pProbe->aiRowEst[i] * inMultiplier * estLog(inMultiplier);
  1563     nEq = i;
  1564     if( pProbe->onError!=OE_None && (flags & WHERE_COLUMN_IN)==0
  1565          && nEq==pProbe->nColumn ){
  1566       flags |= WHERE_UNIQUE;
  1567     }
  1568     WHERETRACE(("...... nEq=%d inMult=%.9g cost=%.9g\n",nEq,inMultiplier,cost));
  1569 
  1570     /* Look for range constraints
  1571     */
  1572     if( nEq<pProbe->nColumn ){
  1573       int j = pProbe->aiColumn[nEq];
  1574       pTerm = findTerm(pWC, iCur, j, notReady, WO_LT|WO_LE|WO_GT|WO_GE, pProbe);
  1575       if( pTerm ){
  1576         flags |= WHERE_COLUMN_RANGE;
  1577         if( findTerm(pWC, iCur, j, notReady, WO_LT|WO_LE, pProbe) ){
  1578           flags |= WHERE_TOP_LIMIT;
  1579           cost /= 3;
  1580         }
  1581         if( findTerm(pWC, iCur, j, notReady, WO_GT|WO_GE, pProbe) ){
  1582           flags |= WHERE_BTM_LIMIT;
  1583           cost /= 3;
  1584         }
  1585         WHERETRACE(("...... range reduces cost to %.9g\n", cost));
  1586       }
  1587     }
  1588 
  1589     /* Add the additional cost of sorting if that is a factor.
  1590     */
  1591     if( pOrderBy ){
  1592       if( (flags & WHERE_COLUMN_IN)==0 &&
  1593            isSortingIndex(pParse,pWC->pMaskSet,pProbe,iCur,pOrderBy,nEq,&rev) ){
  1594         if( flags==0 ){
  1595           flags = WHERE_COLUMN_RANGE;
  1596         }
  1597         flags |= WHERE_ORDERBY;
  1598         if( rev ){
  1599           flags |= WHERE_REVERSE;
  1600         }
  1601       }else{
  1602         cost += cost*estLog(cost);
  1603         WHERETRACE(("...... orderby increases cost to %.9g\n", cost));
  1604       }
  1605     }
  1606 
  1607     /* Check to see if we can get away with using just the index without
  1608     ** ever reading the table.  If that is the case, then halve the
  1609     ** cost of this index.
  1610     */
  1611     if( flags && pSrc->colUsed < (((Bitmask)1)<<(BMS-1)) ){
  1612       Bitmask m = pSrc->colUsed;
  1613       int j;
  1614       for(j=0; j<pProbe->nColumn; j++){
  1615         int x = pProbe->aiColumn[j];
  1616         if( x<BMS-1 ){
  1617           m &= ~(((Bitmask)1)<<x);
  1618         }
  1619       }
  1620       if( m==0 ){
  1621         flags |= WHERE_IDX_ONLY;
  1622         cost /= 2;
  1623         WHERETRACE(("...... idx-only reduces cost to %.9g\n", cost));
  1624       }
  1625     }
  1626 
  1627     /* If this index has achieved the lowest cost so far, then use it.
  1628     */
  1629     if( flags && cost < lowestCost ){
  1630       bestIdx = pProbe;
  1631       lowestCost = cost;
  1632       bestFlags = flags;
  1633       bestNEq = nEq;
  1634     }
  1635   }
  1636 
  1637   /* Report the best result
  1638   */
  1639   *ppIndex = bestIdx;
  1640   WHERETRACE(("best index is %s, cost=%.9g, flags=%x, nEq=%d\n",
  1641         bestIdx ? bestIdx->zName : "(none)", lowestCost, bestFlags, bestNEq));
  1642   *pFlags = bestFlags | eqTermMask;
  1643   *pnEq = bestNEq;
  1644   return lowestCost;
  1645 }
  1646 
  1647 
  1648 /*
  1649 ** Disable a term in the WHERE clause.  Except, do not disable the term
  1650 ** if it controls a LEFT OUTER JOIN and it did not originate in the ON
  1651 ** or USING clause of that join.
  1652 **
  1653 ** Consider the term t2.z='ok' in the following queries:
  1654 **
  1655 **   (1)  SELECT * FROM t1 LEFT JOIN t2 ON t1.a=t2.x WHERE t2.z='ok'
  1656 **   (2)  SELECT * FROM t1 LEFT JOIN t2 ON t1.a=t2.x AND t2.z='ok'
  1657 **   (3)  SELECT * FROM t1, t2 WHERE t1.a=t2.x AND t2.z='ok'
  1658 **
  1659 ** The t2.z='ok' is disabled in the in (2) because it originates
  1660 ** in the ON clause.  The term is disabled in (3) because it is not part
  1661 ** of a LEFT OUTER JOIN.  In (1), the term is not disabled.
  1662 **
  1663 ** Disabling a term causes that term to not be tested in the inner loop
  1664 ** of the join.  Disabling is an optimization.  When terms are satisfied
  1665 ** by indices, we disable them to prevent redundant tests in the inner
  1666 ** loop.  We would get the correct results if nothing were ever disabled,
  1667 ** but joins might run a little slower.  The trick is to disable as much
  1668 ** as we can without disabling too much.  If we disabled in (1), we'd get
  1669 ** the wrong answer.  See ticket #813.
  1670 */
  1671 static void disableTerm(WhereLevel *pLevel, WhereTerm *pTerm){
  1672   if( pTerm
  1673       && (pTerm->flags & TERM_CODED)==0
  1674       && (pLevel->iLeftJoin==0 || ExprHasProperty(pTerm->pExpr, EP_FromJoin))
  1675   ){
  1676     pTerm->flags |= TERM_CODED;
  1677     if( pTerm->iParent>=0 ){
  1678       WhereTerm *pOther = &pTerm->pWC->a[pTerm->iParent];
  1679       if( (--pOther->nChild)==0 ){
  1680         disableTerm(pLevel, pOther);
  1681       }
  1682     }
  1683   }
  1684 }
  1685 
  1686 /*
  1687 ** Generate code that builds a probe for an index.
  1688 **
  1689 ** There should be nColumn values on the stack.  The index
  1690 ** to be probed is pIdx.  Pop the values from the stack and
  1691 ** replace them all with a single record that is the index
  1692 ** problem.
  1693 */
  1694 static void buildIndexProbe(
  1695   Vdbe *v,        /* Generate code into this VM */
  1696   int nColumn,    /* The number of columns to check for NULL */
  1697   Index *pIdx     /* Index that we will be searching */
  1698 ){
  1699   sqlite3VdbeAddOp(v, OP_MakeRecord, nColumn, 0);
  1700   sqlite3IndexAffinityStr(v, pIdx);
  1701 }
  1702 
  1703 
  1704 /*
  1705 ** Generate code for a single equality term of the WHERE clause.  An equality
  1706 ** term can be either X=expr or X IN (...).   pTerm is the term to be 
  1707 ** coded.
  1708 **
  1709 ** The current value for the constraint is left on the top of the stack.
  1710 **
  1711 ** For a constraint of the form X=expr, the expression is evaluated and its
  1712 ** result is left on the stack.  For constraints of the form X IN (...)
  1713 ** this routine sets up a loop that will iterate over all values of X.
  1714 */
  1715 static void codeEqualityTerm(
  1716   Parse *pParse,      /* The parsing context */
  1717   WhereTerm *pTerm,   /* The term of the WHERE clause to be coded */
  1718   WhereLevel *pLevel  /* When level of the FROM clause we are working on */
  1719 ){
  1720   Expr *pX = pTerm->pExpr;
  1721   Vdbe *v = pParse->pVdbe;
  1722   if( pX->op==TK_EQ ){
  1723     sqlite3ExprCode(pParse, pX->pRight);
  1724   }else if( pX->op==TK_ISNULL ){
  1725     sqlite3VdbeAddOp(v, OP_Null, 0, 0);
  1726 #ifndef SQLITE_OMIT_SUBQUERY
  1727   }else{
  1728     int iTab;
  1729     struct InLoop *pIn;
  1730 
  1731     assert( pX->op==TK_IN );
  1732     sqlite3CodeSubselect(pParse, pX);
  1733     iTab = pX->iTable;
  1734     sqlite3VdbeAddOp(v, OP_Rewind, iTab, 0);
  1735     VdbeComment((v, "# %.*s", pX->span.n, pX->span.z));
  1736     if( pLevel->nIn==0 ){
  1737       pLevel->nxt = sqlite3VdbeMakeLabel(v);
  1738     }
  1739     pLevel->nIn++;
  1740     pLevel->aInLoop = sqlite3DbReallocOrFree(pParse->db, pLevel->aInLoop,
  1741                                     sizeof(pLevel->aInLoop[0])*pLevel->nIn);
  1742     pIn = pLevel->aInLoop;
  1743     if( pIn ){
  1744       pIn += pLevel->nIn - 1;
  1745       pIn->iCur = iTab;
  1746       pIn->topAddr = sqlite3VdbeAddOp(v, OP_Column, iTab, 0);
  1747       sqlite3VdbeAddOp(v, OP_IsNull, -1, 0);
  1748     }else{
  1749       pLevel->nIn = 0;
  1750     }
  1751 #endif
  1752   }
  1753   disableTerm(pLevel, pTerm);
  1754 }
  1755 
  1756 /*
  1757 ** Generate code that will evaluate all == and IN constraints for an
  1758 ** index.  The values for all constraints are left on the stack.
  1759 **
  1760 ** For example, consider table t1(a,b,c,d,e,f) with index i1(a,b,c).
  1761 ** Suppose the WHERE clause is this:  a==5 AND b IN (1,2,3) AND c>5 AND c<10
  1762 ** The index has as many as three equality constraints, but in this
  1763 ** example, the third "c" value is an inequality.  So only two 
  1764 ** constraints are coded.  This routine will generate code to evaluate
  1765 ** a==5 and b IN (1,2,3).  The current values for a and b will be left
  1766 ** on the stack - a is the deepest and b the shallowest.
  1767 **
  1768 ** In the example above nEq==2.  But this subroutine works for any value
  1769 ** of nEq including 0.  If nEq==0, this routine is nearly a no-op.
  1770 ** The only thing it does is allocate the pLevel->iMem memory cell.
  1771 **
  1772 ** This routine always allocates at least one memory cell and puts
  1773 ** the address of that memory cell in pLevel->iMem.  The code that
  1774 ** calls this routine will use pLevel->iMem to store the termination
  1775 ** key value of the loop.  If one or more IN operators appear, then
  1776 ** this routine allocates an additional nEq memory cells for internal
  1777 ** use.
  1778 */
  1779 static void codeAllEqualityTerms(
  1780   Parse *pParse,        /* Parsing context */
  1781   WhereLevel *pLevel,   /* Which nested loop of the FROM we are coding */
  1782   WhereClause *pWC,     /* The WHERE clause */
  1783   Bitmask notReady      /* Which parts of FROM have not yet been coded */
  1784 ){
  1785   int nEq = pLevel->nEq;        /* The number of == or IN constraints to code */
  1786   int termsInMem = 0;           /* If true, store value in mem[] cells */
  1787   Vdbe *v = pParse->pVdbe;      /* The virtual machine under construction */
  1788   Index *pIdx = pLevel->pIdx;   /* The index being used for this loop */
  1789   int iCur = pLevel->iTabCur;   /* The cursor of the table */
  1790   WhereTerm *pTerm;             /* A single constraint term */
  1791   int j;                        /* Loop counter */
  1792 
  1793   /* Figure out how many memory cells we will need then allocate them.
  1794   ** We always need at least one used to store the loop terminator
  1795   ** value.  If there are IN operators we'll need one for each == or
  1796   ** IN constraint.
  1797   */
  1798   pLevel->iMem = pParse->nMem++;
  1799   if( pLevel->flags & WHERE_COLUMN_IN ){
  1800     pParse->nMem += pLevel->nEq;
  1801     termsInMem = 1;
  1802   }
  1803 
  1804   /* Evaluate the equality constraints
  1805   */
  1806   assert( pIdx->nColumn>=nEq );
  1807   for(j=0; j<nEq; j++){
  1808     int k = pIdx->aiColumn[j];
  1809     pTerm = findTerm(pWC, iCur, k, notReady, pLevel->flags, pIdx);
  1810     if( pTerm==0 ) break;
  1811     assert( (pTerm->flags & TERM_CODED)==0 );
  1812     codeEqualityTerm(pParse, pTerm, pLevel);
  1813     if( (pTerm->eOperator & (WO_ISNULL|WO_IN))==0 ){
  1814       sqlite3VdbeAddOp(v, OP_IsNull, termsInMem ? -1 : -(j+1), pLevel->brk);
  1815     }
  1816     if( termsInMem ){
  1817       sqlite3VdbeAddOp(v, OP_MemStore, pLevel->iMem+j+1, 1);
  1818     }
  1819   }
  1820 
  1821   /* Make sure all the constraint values are on the top of the stack
  1822   */
  1823   if( termsInMem ){
  1824     for(j=0; j<nEq; j++){
  1825       sqlite3VdbeAddOp(v, OP_MemLoad, pLevel->iMem+j+1, 0);
  1826     }
  1827   }
  1828 }
  1829 
  1830 #if defined(SQLITE_TEST)
  1831 /*
  1832 ** The following variable holds a text description of query plan generated
  1833 ** by the most recent call to sqlite3WhereBegin().  Each call to WhereBegin
  1834 ** overwrites the previous.  This information is used for testing and
  1835 ** analysis only.
  1836 */
  1837 char sqlite3_query_plan[BMS*2*40];  /* Text of the join */
  1838 static int nQPlan = 0;              /* Next free slow in _query_plan[] */
  1839 
  1840 #endif /* SQLITE_TEST */
  1841 
  1842 
  1843 /*
  1844 ** Free a WhereInfo structure
  1845 */
  1846 static void whereInfoFree(WhereInfo *pWInfo){
  1847   if( pWInfo ){
  1848     int i;
  1849     for(i=0; i<pWInfo->nLevel; i++){
  1850       sqlite3_index_info *pInfo = pWInfo->a[i].pIdxInfo;
  1851       if( pInfo ){
  1852         if( pInfo->needToFreeIdxStr ){
  1853           /* Coverage: Don't think this can be reached. By the time this
  1854           ** function is called, the index-strings have been passed
  1855           ** to the vdbe layer for deletion.
  1856           */
  1857           sqlite3_free(pInfo->idxStr);
  1858         }
  1859         sqlite3_free(pInfo);
  1860       }
  1861     }
  1862     sqlite3_free(pWInfo);
  1863   }
  1864 }
  1865 
  1866 
  1867 /*
  1868 ** Generate the beginning of the loop used for WHERE clause processing.
  1869 ** The return value is a pointer to an opaque structure that contains
  1870 ** information needed to terminate the loop.  Later, the calling routine
  1871 ** should invoke sqlite3WhereEnd() with the return value of this function
  1872 ** in order to complete the WHERE clause processing.
  1873 **
  1874 ** If an error occurs, this routine returns NULL.
  1875 **
  1876 ** The basic idea is to do a nested loop, one loop for each table in
  1877 ** the FROM clause of a select.  (INSERT and UPDATE statements are the
  1878 ** same as a SELECT with only a single table in the FROM clause.)  For
  1879 ** example, if the SQL is this:
  1880 **
  1881 **       SELECT * FROM t1, t2, t3 WHERE ...;
  1882 **
  1883 ** Then the code generated is conceptually like the following:
  1884 **
  1885 **      foreach row1 in t1 do       \    Code generated
  1886 **        foreach row2 in t2 do      |-- by sqlite3WhereBegin()
  1887 **          foreach row3 in t3 do   /
  1888 **            ...
  1889 **          end                     \    Code generated
  1890 **        end                        |-- by sqlite3WhereEnd()
  1891 **      end                         /
  1892 **
  1893 ** Note that the loops might not be nested in the order in which they
  1894 ** appear in the FROM clause if a different order is better able to make
  1895 ** use of indices.  Note also that when the IN operator appears in
  1896 ** the WHERE clause, it might result in additional nested loops for
  1897 ** scanning through all values on the right-hand side of the IN.
  1898 **
  1899 ** There are Btree cursors associated with each table.  t1 uses cursor
  1900 ** number pTabList->a[0].iCursor.  t2 uses the cursor pTabList->a[1].iCursor.
  1901 ** And so forth.  This routine generates code to open those VDBE cursors
  1902 ** and sqlite3WhereEnd() generates the code to close them.
  1903 **
  1904 ** The code that sqlite3WhereBegin() generates leaves the cursors named
  1905 ** in pTabList pointing at their appropriate entries.  The [...] code
  1906 ** can use OP_Column and OP_Rowid opcodes on these cursors to extract
  1907 ** data from the various tables of the loop.
  1908 **
  1909 ** If the WHERE clause is empty, the foreach loops must each scan their
  1910 ** entire tables.  Thus a three-way join is an O(N^3) operation.  But if
  1911 ** the tables have indices and there are terms in the WHERE clause that
  1912 ** refer to those indices, a complete table scan can be avoided and the
  1913 ** code will run much faster.  Most of the work of this routine is checking
  1914 ** to see if there are indices that can be used to speed up the loop.
  1915 **
  1916 ** Terms of the WHERE clause are also used to limit which rows actually
  1917 ** make it to the "..." in the middle of the loop.  After each "foreach",
  1918 ** terms of the WHERE clause that use only terms in that loop and outer
  1919 ** loops are evaluated and if false a jump is made around all subsequent
  1920 ** inner loops (or around the "..." if the test occurs within the inner-
  1921 ** most loop)
  1922 **
  1923 ** OUTER JOINS
  1924 **
  1925 ** An outer join of tables t1 and t2 is conceptally coded as follows:
  1926 **
  1927 **    foreach row1 in t1 do
  1928 **      flag = 0
  1929 **      foreach row2 in t2 do
  1930 **        start:
  1931 **          ...
  1932 **          flag = 1
  1933 **      end
  1934 **      if flag==0 then
  1935 **        move the row2 cursor to a null row
  1936 **        goto start
  1937 **      fi
  1938 **    end
  1939 **
  1940 ** ORDER BY CLAUSE PROCESSING
  1941 **
  1942 ** *ppOrderBy is a pointer to the ORDER BY clause of a SELECT statement,
  1943 ** if there is one.  If there is no ORDER BY clause or if this routine
  1944 ** is called from an UPDATE or DELETE statement, then ppOrderBy is NULL.
  1945 **
  1946 ** If an index can be used so that the natural output order of the table
  1947 ** scan is correct for the ORDER BY clause, then that index is used and
  1948 ** *ppOrderBy is set to NULL.  This is an optimization that prevents an
  1949 ** unnecessary sort of the result set if an index appropriate for the
  1950 ** ORDER BY clause already exists.
  1951 **
  1952 ** If the where clause loops cannot be arranged to provide the correct
  1953 ** output order, then the *ppOrderBy is unchanged.
  1954 */
  1955 WhereInfo *sqlite3WhereBegin(
  1956   Parse *pParse,        /* The parser context */
  1957   SrcList *pTabList,    /* A list of all tables to be scanned */
  1958   Expr *pWhere,         /* The WHERE clause */
  1959   ExprList **ppOrderBy  /* An ORDER BY clause, or NULL */
  1960 ){
  1961   int i;                     /* Loop counter */
  1962   WhereInfo *pWInfo;         /* Will become the return value of this function */
  1963   Vdbe *v = pParse->pVdbe;   /* The virtual database engine */
  1964   int brk, cont = 0;         /* Addresses used during code generation */
  1965   Bitmask notReady;          /* Cursors that are not yet positioned */
  1966   WhereTerm *pTerm;          /* A single term in the WHERE clause */
  1967   ExprMaskSet maskSet;       /* The expression mask set */
  1968   WhereClause wc;            /* The WHERE clause is divided into these terms */
  1969   struct SrcList_item *pTabItem;  /* A single entry from pTabList */
  1970   WhereLevel *pLevel;             /* A single level in the pWInfo list */
  1971   int iFrom;                      /* First unused FROM clause element */
  1972   int andFlags;              /* AND-ed combination of all wc.a[].flags */
  1973   sqlite3 *db;               /* Database connection */
  1974 
  1975   /* The number of tables in the FROM clause is limited by the number of
  1976   ** bits in a Bitmask 
  1977   */
  1978   if( pTabList->nSrc>BMS ){
  1979     sqlite3ErrorMsg(pParse, "at most %d tables in a join", BMS);
  1980     return 0;
  1981   }
  1982 
  1983   /* Split the WHERE clause into separate subexpressions where each
  1984   ** subexpression is separated by an AND operator.
  1985   */
  1986   initMaskSet(&maskSet);
  1987   whereClauseInit(&wc, pParse, &maskSet);
  1988   whereSplit(&wc, pWhere, TK_AND);
  1989     
  1990   /* Allocate and initialize the WhereInfo structure that will become the
  1991   ** return value.
  1992   */
  1993   db = pParse->db;
  1994   pWInfo = sqlite3DbMallocZero(db,  
  1995                       sizeof(WhereInfo) + pTabList->nSrc*sizeof(WhereLevel));
  1996   if( db->mallocFailed ){
  1997     goto whereBeginNoMem;
  1998   }
  1999   pWInfo->nLevel = pTabList->nSrc;
  2000   pWInfo->pParse = pParse;
  2001   pWInfo->pTabList = pTabList;
  2002   pWInfo->iBreak = sqlite3VdbeMakeLabel(v);
  2003 
  2004   /* Special case: a WHERE clause that is constant.  Evaluate the
  2005   ** expression and either jump over all of the code or fall thru.
  2006   */
  2007   if( pWhere && (pTabList->nSrc==0 || sqlite3ExprIsConstantNotJoin(pWhere)) ){
  2008     sqlite3ExprIfFalse(pParse, pWhere, pWInfo->iBreak, 1);
  2009     pWhere = 0;
  2010   }
  2011 
  2012   /* Analyze all of the subexpressions.  Note that exprAnalyze() might
  2013   ** add new virtual terms onto the end of the WHERE clause.  We do not
  2014   ** want to analyze these virtual terms, so start analyzing at the end
  2015   ** and work forward so that the added virtual terms are never processed.
  2016   */
  2017   for(i=0; i<pTabList->nSrc; i++){
  2018     createMask(&maskSet, pTabList->a[i].iCursor);
  2019   }
  2020   exprAnalyzeAll(pTabList, &wc);
  2021   if( db->mallocFailed ){
  2022     goto whereBeginNoMem;
  2023   }
  2024 
  2025   /* Chose the best index to use for each table in the FROM clause.
  2026   **
  2027   ** This loop fills in the following fields:
  2028   **
  2029   **   pWInfo->a[].pIdx      The index to use for this level of the loop.
  2030   **   pWInfo->a[].flags     WHERE_xxx flags associated with pIdx
  2031   **   pWInfo->a[].nEq       The number of == and IN constraints
  2032   **   pWInfo->a[].iFrom     When term of the FROM clause is being coded
  2033   **   pWInfo->a[].iTabCur   The VDBE cursor for the database table
  2034   **   pWInfo->a[].iIdxCur   The VDBE cursor for the index
  2035   **
  2036   ** This loop also figures out the nesting order of tables in the FROM
  2037   ** clause.
  2038   */
  2039   notReady = ~(Bitmask)0;
  2040   pTabItem = pTabList->a;
  2041   pLevel = pWInfo->a;
  2042   andFlags = ~0;
  2043   WHERETRACE(("*** Optimizer Start ***\n"));
  2044   for(i=iFrom=0, pLevel=pWInfo->a; i<pTabList->nSrc; i++, pLevel++){
  2045     Index *pIdx;                /* Index for FROM table at pTabItem */
  2046     int flags;                  /* Flags asssociated with pIdx */
  2047     int nEq;                    /* Number of == or IN constraints */
  2048     double cost;                /* The cost for pIdx */
  2049     int j;                      /* For looping over FROM tables */
  2050     Index *pBest = 0;           /* The best index seen so far */
  2051     int bestFlags = 0;          /* Flags associated with pBest */
  2052     int bestNEq = 0;            /* nEq associated with pBest */
  2053     double lowestCost;          /* Cost of the pBest */
  2054     int bestJ = 0;              /* The value of j */
  2055     Bitmask m;                  /* Bitmask value for j or bestJ */
  2056     int once = 0;               /* True when first table is seen */
  2057     sqlite3_index_info *pIndex; /* Current virtual index */
  2058 
  2059     lowestCost = SQLITE_BIG_DBL;
  2060     for(j=iFrom, pTabItem=&pTabList->a[j]; j<pTabList->nSrc; j++, pTabItem++){
  2061       int doNotReorder;  /* True if this table should not be reordered */
  2062 
  2063       doNotReorder =  (pTabItem->jointype & (JT_LEFT|JT_CROSS))!=0;
  2064       if( once && doNotReorder ) break;
  2065       m = getMask(&maskSet, pTabItem->iCursor);
  2066       if( (m & notReady)==0 ){
  2067         if( j==iFrom ) iFrom++;
  2068         continue;
  2069       }
  2070       assert( pTabItem->pTab );
  2071 #ifndef SQLITE_OMIT_VIRTUALTABLE
  2072       if( IsVirtual(pTabItem->pTab) ){
  2073         sqlite3_index_info **ppIdxInfo = &pWInfo->a[j].pIdxInfo;
  2074         cost = bestVirtualIndex(pParse, &wc, pTabItem, notReady,
  2075                                 ppOrderBy ? *ppOrderBy : 0, i==0,
  2076                                 ppIdxInfo);
  2077         flags = WHERE_VIRTUALTABLE;
  2078         pIndex = *ppIdxInfo;
  2079         if( pIndex && pIndex->orderByConsumed ){
  2080           flags = WHERE_VIRTUALTABLE | WHERE_ORDERBY;
  2081         }
  2082         pIdx = 0;
  2083         nEq = 0;
  2084         if( (SQLITE_BIG_DBL/2.0)<cost ){
  2085           /* The cost is not allowed to be larger than SQLITE_BIG_DBL (the
  2086           ** inital value of lowestCost in this loop. If it is, then
  2087           ** the (cost<lowestCost) test below will never be true and
  2088           ** pLevel->pBestIdx never set.
  2089           */ 
  2090           cost = (SQLITE_BIG_DBL/2.0);
  2091         }
  2092       }else 
  2093 #endif
  2094       {
  2095         cost = bestIndex(pParse, &wc, pTabItem, notReady,
  2096                          (i==0 && ppOrderBy) ? *ppOrderBy : 0,
  2097                          &pIdx, &flags, &nEq);
  2098         pIndex = 0;
  2099       }
  2100       if( cost<lowestCost ){
  2101         once = 1;
  2102         lowestCost = cost;
  2103         pBest = pIdx;
  2104         bestFlags = flags;
  2105         bestNEq = nEq;
  2106         bestJ = j;
  2107         pLevel->pBestIdx = pIndex;
  2108       }
  2109       if( doNotReorder ) break;
  2110     }
  2111     WHERETRACE(("*** Optimizer choose table %d for loop %d\n", bestJ,
  2112            pLevel-pWInfo->a));
  2113     if( (bestFlags & WHERE_ORDERBY)!=0 ){
  2114       *ppOrderBy = 0;
  2115     }
  2116     andFlags &= bestFlags;
  2117     pLevel->flags = bestFlags;
  2118     pLevel->pIdx = pBest;
  2119     pLevel->nEq = bestNEq;
  2120     pLevel->aInLoop = 0;
  2121     pLevel->nIn = 0;
  2122     if( pBest ){
  2123       pLevel->iIdxCur = pParse->nTab++;
  2124     }else{
  2125       pLevel->iIdxCur = -1;
  2126     }
  2127     notReady &= ~getMask(&maskSet, pTabList->a[bestJ].iCursor);
  2128     pLevel->iFrom = bestJ;
  2129   }
  2130   WHERETRACE(("*** Optimizer Finished ***\n"));
  2131 
  2132   /* If the total query only selects a single row, then the ORDER BY
  2133   ** clause is irrelevant.
  2134   */
  2135   if( (andFlags & WHERE_UNIQUE)!=0 && ppOrderBy ){
  2136     *ppOrderBy = 0;
  2137   }
  2138 
  2139   /* Open all tables in the pTabList and any indices selected for
  2140   ** searching those tables.
  2141   */
  2142   sqlite3CodeVerifySchema(pParse, -1); /* Insert the cookie verifier Goto */
  2143   for(i=0, pLevel=pWInfo->a; i<pTabList->nSrc; i++, pLevel++){
  2144     Table *pTab;     /* Table to open */
  2145     Index *pIx;      /* Index used to access pTab (if any) */
  2146     int iDb;         /* Index of database containing table/index */
  2147     int iIdxCur = pLevel->iIdxCur;
  2148 
  2149 #ifndef SQLITE_OMIT_EXPLAIN
  2150     if( pParse->explain==2 ){
  2151       char *zMsg;
  2152       struct SrcList_item *pItem = &pTabList->a[pLevel->iFrom];
  2153       zMsg = sqlite3MPrintf(db, "TABLE %s", pItem->zName);
  2154       if( pItem->zAlias ){
  2155         zMsg = sqlite3MPrintf(db, "%z AS %s", zMsg, pItem->zAlias);
  2156       }
  2157       if( (pIx = pLevel->pIdx)!=0 ){
  2158         zMsg = sqlite3MPrintf(db, "%z WITH INDEX %s", zMsg, pIx->zName);
  2159       }else if( pLevel->flags & (WHERE_ROWID_EQ|WHERE_ROWID_RANGE) ){
  2160         zMsg = sqlite3MPrintf(db, "%z USING PRIMARY KEY", zMsg);
  2161       }
  2162 #ifndef SQLITE_OMIT_VIRTUALTABLE
  2163       else if( pLevel->pBestIdx ){
  2164         sqlite3_index_info *pBestIdx = pLevel->pBestIdx;
  2165         zMsg = sqlite3MPrintf(db, "%z VIRTUAL TABLE INDEX %d:%s", zMsg,
  2166                     pBestIdx->idxNum, pBestIdx->idxStr);
  2167       }
  2168 #endif
  2169       if( pLevel->flags & WHERE_ORDERBY ){
  2170         zMsg = sqlite3MPrintf(db, "%z ORDER BY", zMsg);
  2171       }
  2172       sqlite3VdbeOp3(v, OP_Explain, i, pLevel->iFrom, zMsg, P3_DYNAMIC);
  2173     }
  2174 #endif /* SQLITE_OMIT_EXPLAIN */
  2175     pTabItem = &pTabList->a[pLevel->iFrom];
  2176     pTab = pTabItem->pTab;
  2177     iDb = sqlite3SchemaToIndex(pParse->db, pTab->pSchema);
  2178     if( pTab->isEphem || pTab->pSelect ) continue;
  2179 #ifndef SQLITE_OMIT_VIRTUALTABLE
  2180     if( pLevel->pBestIdx ){
  2181       int iCur = pTabItem->iCursor;
  2182       sqlite3VdbeOp3(v, OP_VOpen, iCur, 0, (const char*)pTab->pVtab, P3_VTAB);
  2183     }else
  2184 #endif
  2185     if( (pLevel->flags & WHERE_IDX_ONLY)==0 ){
  2186       sqlite3OpenTable(pParse, pTabItem->iCursor, iDb, pTab, OP_OpenRead);
  2187       if( pTab->nCol<(sizeof(Bitmask)*8) ){
  2188         Bitmask b = pTabItem->colUsed;
  2189         int n = 0;
  2190         for(; b; b=b>>1, n++){}
  2191         sqlite3VdbeChangeP2(v, sqlite3VdbeCurrentAddr(v)-1, n);
  2192         assert( n<=pTab->nCol );
  2193       }
  2194     }else{
  2195       sqlite3TableLock(pParse, iDb, pTab->tnum, 0, pTab->zName);
  2196     }
  2197     pLevel->iTabCur = pTabItem->iCursor;
  2198     if( (pIx = pLevel->pIdx)!=0 ){
  2199       KeyInfo *pKey = sqlite3IndexKeyinfo(pParse, pIx);
  2200       assert( pIx->pSchema==pTab->pSchema );
  2201       sqlite3VdbeAddOp(v, OP_Integer, iDb, 0);
  2202       VdbeComment((v, "# %s", pIx->zName));
  2203       sqlite3VdbeOp3(v, OP_OpenRead, iIdxCur, pIx->tnum,
  2204                      (char*)pKey, P3_KEYINFO_HANDOFF);
  2205     }
  2206     if( (pLevel->flags & (WHERE_IDX_ONLY|WHERE_COLUMN_RANGE))!=0 ){
  2207       /* Only call OP_SetNumColumns on the index if we might later use
  2208       ** OP_Column on the index. */
  2209       sqlite3VdbeAddOp(v, OP_SetNumColumns, iIdxCur, pIx->nColumn+1);
  2210     }
  2211     sqlite3CodeVerifySchema(pParse, iDb);
  2212   }
  2213   pWInfo->iTop = sqlite3VdbeCurrentAddr(v);
  2214 
  2215   /* Generate the code to do the search.  Each iteration of the for
  2216   ** loop below generates code for a single nested loop of the VM
  2217   ** program.
  2218   */
  2219   notReady = ~(Bitmask)0;
  2220   for(i=0, pLevel=pWInfo->a; i<pTabList->nSrc; i++, pLevel++){
  2221     int j;
  2222     int iCur = pTabItem->iCursor;  /* The VDBE cursor for the table */
  2223     Index *pIdx;       /* The index we will be using */
  2224     int nxt;           /* Where to jump to continue with the next IN case */
  2225     int iIdxCur;       /* The VDBE cursor for the index */
  2226     int omitTable;     /* True if we use the index only */
  2227     int bRev;          /* True if we need to scan in reverse order */
  2228 
  2229     pTabItem = &pTabList->a[pLevel->iFrom];
  2230     iCur = pTabItem->iCursor;
  2231     pIdx = pLevel->pIdx;
  2232     iIdxCur = pLevel->iIdxCur;
  2233     bRev = (pLevel->flags & WHERE_REVERSE)!=0;
  2234     omitTable = (pLevel->flags & WHERE_IDX_ONLY)!=0;
  2235 
  2236     /* Create labels for the "break" and "continue" instructions
  2237     ** for the current loop.  Jump to brk to break out of a loop.
  2238     ** Jump to cont to go immediately to the next iteration of the
  2239     ** loop.
  2240     **
  2241     ** When there is an IN operator, we also have a "nxt" label that
  2242     ** means to continue with the next IN value combination.  When
  2243     ** there are no IN operators in the constraints, the "nxt" label
  2244     ** is the same as "brk".
  2245     */
  2246     brk = pLevel->brk = pLevel->nxt = sqlite3VdbeMakeLabel(v);
  2247     cont = pLevel->cont = sqlite3VdbeMakeLabel(v);
  2248 
  2249     /* If this is the right table of a LEFT OUTER JOIN, allocate and
  2250     ** initialize a memory cell that records if this table matches any
  2251     ** row of the left table of the join.
  2252     */
  2253     if( pLevel->iFrom>0 && (pTabItem[0].jointype & JT_LEFT)!=0 ){
  2254       if( !pParse->nMem ) pParse->nMem++;
  2255       pLevel->iLeftJoin = pParse->nMem++;
  2256       sqlite3VdbeAddOp(v, OP_MemInt, 0, pLevel->iLeftJoin);
  2257       VdbeComment((v, "# init LEFT JOIN no-match flag"));
  2258     }
  2259 
  2260 #ifndef SQLITE_OMIT_VIRTUALTABLE
  2261     if( pLevel->pBestIdx ){
  2262       /* Case 0:  The table is a virtual-table.  Use the VFilter and VNext
  2263       **          to access the data.
  2264       */
  2265       int j;
  2266       sqlite3_index_info *pBestIdx = pLevel->pBestIdx;
  2267       int nConstraint = pBestIdx->nConstraint;
  2268       struct sqlite3_index_constraint_usage *aUsage =
  2269                                                   pBestIdx->aConstraintUsage;
  2270       const struct sqlite3_index_constraint *aConstraint =
  2271                                                   pBestIdx->aConstraint;
  2272 
  2273       for(j=1; j<=nConstraint; j++){
  2274         int k;
  2275         for(k=0; k<nConstraint; k++){
  2276           if( aUsage[k].argvIndex==j ){
  2277             int iTerm = aConstraint[k].iTermOffset;
  2278             sqlite3ExprCode(pParse, wc.a[iTerm].pExpr->pRight);
  2279             break;
  2280           }
  2281         }
  2282         if( k==nConstraint ) break;
  2283       }
  2284       sqlite3VdbeAddOp(v, OP_Integer, j-1, 0);
  2285       sqlite3VdbeAddOp(v, OP_Integer, pBestIdx->idxNum, 0);
  2286       sqlite3VdbeOp3(v, OP_VFilter, iCur, brk, pBestIdx->idxStr,
  2287                       pBestIdx->needToFreeIdxStr ? P3_MPRINTF : P3_STATIC);
  2288       pBestIdx->needToFreeIdxStr = 0;
  2289       for(j=0; j<pBestIdx->nConstraint; j++){
  2290         if( aUsage[j].omit ){
  2291           int iTerm = aConstraint[j].iTermOffset;
  2292           disableTerm(pLevel, &wc.a[iTerm]);
  2293         }
  2294       }
  2295       pLevel->op = OP_VNext;
  2296       pLevel->p1 = iCur;
  2297       pLevel->p2 = sqlite3VdbeCurrentAddr(v);
  2298     }else
  2299 #endif /* SQLITE_OMIT_VIRTUALTABLE */
  2300 
  2301     if( pLevel->flags & WHERE_ROWID_EQ ){
  2302       /* Case 1:  We can directly reference a single row using an
  2303       **          equality comparison against the ROWID field.  Or
  2304       **          we reference multiple rows using a "rowid IN (...)"
  2305       **          construct.
  2306       */
  2307       pTerm = findTerm(&wc, iCur, -1, notReady, WO_EQ|WO_IN, 0);
  2308       assert( pTerm!=0 );
  2309       assert( pTerm->pExpr!=0 );
  2310       assert( pTerm->leftCursor==iCur );
  2311       assert( omitTable==0 );
  2312       codeEqualityTerm(pParse, pTerm, pLevel);
  2313       nxt = pLevel->nxt;
  2314       sqlite3VdbeAddOp(v, OP_MustBeInt, 1, nxt);
  2315       sqlite3VdbeAddOp(v, OP_NotExists, iCur, nxt);
  2316       VdbeComment((v, "pk"));
  2317       pLevel->op = OP_Noop;
  2318     }else if( pLevel->flags & WHERE_ROWID_RANGE ){
  2319       /* Case 2:  We have an inequality comparison against the ROWID field.
  2320       */
  2321       int testOp = OP_Noop;
  2322       int start;
  2323       WhereTerm *pStart, *pEnd;
  2324 
  2325       assert( omitTable==0 );
  2326       pStart = findTerm(&wc, iCur, -1, notReady, WO_GT|WO_GE, 0);
  2327       pEnd = findTerm(&wc, iCur, -1, notReady, WO_LT|WO_LE, 0);
  2328       if( bRev ){
  2329         pTerm = pStart;
  2330         pStart = pEnd;
  2331         pEnd = pTerm;
  2332       }
  2333       if( pStart ){
  2334         Expr *pX;
  2335         pX = pStart->pExpr;
  2336         assert( pX!=0 );
  2337         assert( pStart->leftCursor==iCur );
  2338         sqlite3ExprCode(pParse, pX->pRight);
  2339         sqlite3VdbeAddOp(v, OP_ForceInt, pX->op==TK_LE || pX->op==TK_GT, brk);
  2340         sqlite3VdbeAddOp(v, bRev ? OP_MoveLt : OP_MoveGe, iCur, brk);
  2341         VdbeComment((v, "pk"));
  2342         disableTerm(pLevel, pStart);
  2343       }else{
  2344         sqlite3VdbeAddOp(v, bRev ? OP_Last : OP_Rewind, iCur, brk);
  2345       }
  2346       if( pEnd ){
  2347         Expr *pX;
  2348         pX = pEnd->pExpr;
  2349         assert( pX!=0 );
  2350         assert( pEnd->leftCursor==iCur );
  2351         sqlite3ExprCode(pParse, pX->pRight);
  2352         pLevel->iMem = pParse->nMem++;
  2353         sqlite3VdbeAddOp(v, OP_MemStore, pLevel->iMem, 1);
  2354         if( pX->op==TK_LT || pX->op==TK_GT ){
  2355           testOp = bRev ? OP_Le : OP_Ge;
  2356         }else{
  2357           testOp = bRev ? OP_Lt : OP_Gt;
  2358         }
  2359         disableTerm(pLevel, pEnd);
  2360       }
  2361       start = sqlite3VdbeCurrentAddr(v);
  2362       pLevel->op = bRev ? OP_Prev : OP_Next;
  2363       pLevel->p1 = iCur;
  2364       pLevel->p2 = start;
  2365       if( testOp!=OP_Noop ){
  2366         sqlite3VdbeAddOp(v, OP_Rowid, iCur, 0);
  2367         sqlite3VdbeAddOp(v, OP_MemLoad, pLevel->iMem, 0);
  2368         sqlite3VdbeAddOp(v, testOp, SQLITE_AFF_NUMERIC|0x100, brk);
  2369       }
  2370     }else if( pLevel->flags & WHERE_COLUMN_RANGE ){
  2371       /* Case 3: The WHERE clause term that refers to the right-most
  2372       **         column of the index is an inequality.  For example, if
  2373       **         the index is on (x,y,z) and the WHERE clause is of the
  2374       **         form "x=5 AND y<10" then this case is used.  Only the
  2375       **         right-most column can be an inequality - the rest must
  2376       **         use the "==" and "IN" operators.
  2377       **
  2378       **         This case is also used when there are no WHERE clause
  2379       **         constraints but an index is selected anyway, in order
  2380       **         to force the output order to conform to an ORDER BY.
  2381       */
  2382       int start;
  2383       int nEq = pLevel->nEq;
  2384       int topEq=0;        /* True if top limit uses ==. False is strictly < */
  2385       int btmEq=0;        /* True if btm limit uses ==. False if strictly > */
  2386       int topOp, btmOp;   /* Operators for the top and bottom search bounds */
  2387       int testOp;
  2388       int topLimit = (pLevel->flags & WHERE_TOP_LIMIT)!=0;
  2389       int btmLimit = (pLevel->flags & WHERE_BTM_LIMIT)!=0;
  2390 
  2391       /* Generate code to evaluate all constraint terms using == or IN
  2392       ** and level the values of those terms on the stack.
  2393       */
  2394       codeAllEqualityTerms(pParse, pLevel, &wc, notReady);
  2395 
  2396       /* Duplicate the equality term values because they will all be
  2397       ** used twice: once to make the termination key and once to make the
  2398       ** start key.
  2399       */
  2400       for(j=0; j<nEq; j++){
  2401         sqlite3VdbeAddOp(v, OP_Dup, nEq-1, 0);
  2402       }
  2403 
  2404       /* Figure out what comparison operators to use for top and bottom 
  2405       ** search bounds. For an ascending index, the bottom bound is a > or >=
  2406       ** operator and the top bound is a < or <= operator.  For a descending
  2407       ** index the operators are reversed.
  2408       */
  2409       if( pIdx->aSortOrder[nEq]==SQLITE_SO_ASC ){
  2410         topOp = WO_LT|WO_LE;
  2411         btmOp = WO_GT|WO_GE;
  2412       }else{
  2413         topOp = WO_GT|WO_GE;
  2414         btmOp = WO_LT|WO_LE;
  2415         SWAP(int, topLimit, btmLimit);
  2416       }
  2417 
  2418       /* Generate the termination key.  This is the key value that
  2419       ** will end the search.  There is no termination key if there
  2420       ** are no equality terms and no "X<..." term.
  2421       **
  2422       ** 2002-Dec-04: On a reverse-order scan, the so-called "termination"
  2423       ** key computed here really ends up being the start key.
  2424       */
  2425       nxt = pLevel->nxt;
  2426       if( topLimit ){
  2427         Expr *pX;
  2428         int k = pIdx->aiColumn[j];
  2429         pTerm = findTerm(&wc, iCur, k, notReady, topOp, pIdx);
  2430         assert( pTerm!=0 );
  2431         pX = pTerm->pExpr;
  2432         assert( (pTerm->flags & TERM_CODED)==0 );
  2433         sqlite3ExprCode(pParse, pX->pRight);
  2434         sqlite3VdbeAddOp(v, OP_IsNull, -(nEq*2+1), nxt);
  2435         topEq = pTerm->eOperator & (WO_LE|WO_GE);
  2436         disableTerm(pLevel, pTerm);
  2437         testOp = OP_IdxGE;
  2438       }else{
  2439         testOp = nEq>0 ? OP_IdxGE : OP_Noop;
  2440         topEq = 1;
  2441       }
  2442       if( testOp!=OP_Noop ){
  2443         int nCol = nEq + topLimit;
  2444         pLevel->iMem = pParse->nMem++;
  2445         buildIndexProbe(v, nCol, pIdx);
  2446         if( bRev ){
  2447           int op = topEq ? OP_MoveLe : OP_MoveLt;
  2448           sqlite3VdbeAddOp(v, op, iIdxCur, nxt);
  2449         }else{
  2450           sqlite3VdbeAddOp(v, OP_MemStore, pLevel->iMem, 1);
  2451         }
  2452       }else if( bRev ){
  2453         sqlite3VdbeAddOp(v, OP_Last, iIdxCur, brk);
  2454       }
  2455 
  2456       /* Generate the start key.  This is the key that defines the lower
  2457       ** bound on the search.  There is no start key if there are no
  2458       ** equality terms and if there is no "X>..." term.  In
  2459       ** that case, generate a "Rewind" instruction in place of the
  2460       ** start key search.
  2461       **
  2462       ** 2002-Dec-04: In the case of a reverse-order search, the so-called
  2463       ** "start" key really ends up being used as the termination key.
  2464       */
  2465       if( btmLimit ){
  2466         Expr *pX;
  2467         int k = pIdx->aiColumn[j];
  2468         pTerm = findTerm(&wc, iCur, k, notReady, btmOp, pIdx);
  2469         assert( pTerm!=0 );
  2470         pX = pTerm->pExpr;
  2471         assert( (pTerm->flags & TERM_CODED)==0 );
  2472         sqlite3ExprCode(pParse, pX->pRight);
  2473         sqlite3VdbeAddOp(v, OP_IsNull, -(nEq+1), nxt);
  2474         btmEq = pTerm->eOperator & (WO_LE|WO_GE);
  2475         disableTerm(pLevel, pTerm);
  2476       }else{
  2477         btmEq = 1;
  2478       }
  2479       if( nEq>0 || btmLimit ){
  2480         int nCol = nEq + btmLimit;
  2481         buildIndexProbe(v, nCol, pIdx);
  2482         if( bRev ){
  2483           pLevel->iMem = pParse->nMem++;
  2484           sqlite3VdbeAddOp(v, OP_MemStore, pLevel->iMem, 1);
  2485           testOp = OP_IdxLT;
  2486         }else{
  2487           int op = btmEq ? OP_MoveGe : OP_MoveGt;
  2488           sqlite3VdbeAddOp(v, op, iIdxCur, nxt);
  2489         }
  2490       }else if( bRev ){
  2491         testOp = OP_Noop;
  2492       }else{
  2493         sqlite3VdbeAddOp(v, OP_Rewind, iIdxCur, brk);
  2494       }
  2495 
  2496       /* Generate the the top of the loop.  If there is a termination
  2497       ** key we have to test for that key and abort at the top of the
  2498       ** loop.
  2499       */
  2500       start = sqlite3VdbeCurrentAddr(v);
  2501       if( testOp!=OP_Noop ){
  2502         sqlite3VdbeAddOp(v, OP_MemLoad, pLevel->iMem, 0);
  2503         sqlite3VdbeAddOp(v, testOp, iIdxCur, nxt);
  2504         if( (topEq && !bRev) || (!btmEq && bRev) ){
  2505           sqlite3VdbeChangeP3(v, -1, "+", P3_STATIC);
  2506         }
  2507       }
  2508       if( topLimit | btmLimit ){
  2509         sqlite3VdbeAddOp(v, OP_Column, iIdxCur, nEq);
  2510         sqlite3VdbeAddOp(v, OP_IsNull, 1, cont);
  2511       }
  2512       if( !omitTable ){
  2513         sqlite3VdbeAddOp(v, OP_IdxRowid, iIdxCur, 0);
  2514         sqlite3VdbeAddOp(v, OP_MoveGe, iCur, 0);
  2515       }
  2516 
  2517       /* Record the instruction used to terminate the loop.
  2518       */
  2519       pLevel->op = bRev ? OP_Prev : OP_Next;
  2520       pLevel->p1 = iIdxCur;
  2521       pLevel->p2 = start;
  2522     }else if( pLevel->flags & WHERE_COLUMN_EQ ){
  2523       /* Case 4:  There is an index and all terms of the WHERE clause that
  2524       **          refer to the index using the "==" or "IN" operators.
  2525       */
  2526       int start;
  2527       int nEq = pLevel->nEq;
  2528 
  2529       /* Generate code to evaluate all constraint terms using == or IN
  2530       ** and leave the values of those terms on the stack.
  2531       */
  2532       codeAllEqualityTerms(pParse, pLevel, &wc, notReady);
  2533       nxt = pLevel->nxt;
  2534 
  2535       /* Generate a single key that will be used to both start and terminate
  2536       ** the search
  2537       */
  2538       buildIndexProbe(v, nEq, pIdx);
  2539       sqlite3VdbeAddOp(v, OP_MemStore, pLevel->iMem, 0);
  2540 
  2541       /* Generate code (1) to move to the first matching element of the table.
  2542       ** Then generate code (2) that jumps to "nxt" after the cursor is past
  2543       ** the last matching element of the table.  The code (1) is executed
  2544       ** once to initialize the search, the code (2) is executed before each
  2545       ** iteration of the scan to see if the scan has finished. */
  2546       if( bRev ){
  2547         /* Scan in reverse order */
  2548         sqlite3VdbeAddOp(v, OP_MoveLe, iIdxCur, nxt);
  2549         start = sqlite3VdbeAddOp(v, OP_MemLoad, pLevel->iMem, 0);
  2550         sqlite3VdbeAddOp(v, OP_IdxLT, iIdxCur, nxt);
  2551         pLevel->op = OP_Prev;
  2552       }else{
  2553         /* Scan in the forward order */
  2554         sqlite3VdbeAddOp(v, OP_MoveGe, iIdxCur, nxt);
  2555         start = sqlite3VdbeAddOp(v, OP_MemLoad, pLevel->iMem, 0);
  2556         sqlite3VdbeOp3(v, OP_IdxGE, iIdxCur, nxt, "+", P3_STATIC);
  2557         pLevel->op = OP_Next;
  2558       }
  2559       if( !omitTable ){
  2560         sqlite3VdbeAddOp(v, OP_IdxRowid, iIdxCur, 0);
  2561         sqlite3VdbeAddOp(v, OP_MoveGe, iCur, 0);
  2562       }
  2563       pLevel->p1 = iIdxCur;
  2564       pLevel->p2 = start;
  2565     }else{
  2566       /* Case 5:  There is no usable index.  We must do a complete
  2567       **          scan of the entire table.
  2568       */
  2569       assert( omitTable==0 );
  2570       assert( bRev==0 );
  2571       pLevel->op = OP_Next;
  2572       pLevel->p1 = iCur;
  2573       pLevel->p2 = 1 + sqlite3VdbeAddOp(v, OP_Rewind, iCur, brk);
  2574     }
  2575     notReady &= ~getMask(&maskSet, iCur);
  2576 
  2577     /* Insert code to test every subexpression that can be completely
  2578     ** computed using the current set of tables.
  2579     */
  2580     for(pTerm=wc.a, j=wc.nTerm; j>0; j--, pTerm++){
  2581       Expr *pE;
  2582       if( pTerm->flags & (TERM_VIRTUAL|TERM_CODED) ) continue;
  2583       if( (pTerm->prereqAll & notReady)!=0 ) continue;
  2584       pE = pTerm->pExpr;
  2585       assert( pE!=0 );
  2586       if( pLevel->iLeftJoin && !ExprHasProperty(pE, EP_FromJoin) ){
  2587         continue;
  2588       }
  2589       sqlite3ExprIfFalse(pParse, pE, cont, 1);
  2590       pTerm->flags |= TERM_CODED;
  2591     }
  2592 
  2593     /* For a LEFT OUTER JOIN, generate code that will record the fact that
  2594     ** at least one row of the right table has matched the left table.  
  2595     */
  2596     if( pLevel->iLeftJoin ){
  2597       pLevel->top = sqlite3VdbeCurrentAddr(v);
  2598       sqlite3VdbeAddOp(v, OP_MemInt, 1, pLevel->iLeftJoin);
  2599       VdbeComment((v, "# record LEFT JOIN hit"));
  2600       for(pTerm=wc.a, j=0; j<wc.nTerm; j++, pTerm++){
  2601         if( pTerm->flags & (TERM_VIRTUAL|TERM_CODED) ) continue;
  2602         if( (pTerm->prereqAll & notReady)!=0 ) continue;
  2603         assert( pTerm->pExpr );
  2604         sqlite3ExprIfFalse(pParse, pTerm->pExpr, cont, 1);
  2605         pTerm->flags |= TERM_CODED;
  2606       }
  2607     }
  2608   }
  2609 
  2610 #ifdef SQLITE_TEST  /* For testing and debugging use only */
  2611   /* Record in the query plan information about the current table
  2612   ** and the index used to access it (if any).  If the table itself
  2613   ** is not used, its name is just '{}'.  If no index is used
  2614   ** the index is listed as "{}".  If the primary key is used the
  2615   ** index name is '*'.
  2616   */
  2617   for(i=0; i<pTabList->nSrc; i++){
  2618     char *z;
  2619     int n;
  2620     pLevel = &pWInfo->a[i];
  2621     pTabItem = &pTabList->a[pLevel->iFrom];
  2622     z = pTabItem->zAlias;
  2623     if( z==0 ) z = pTabItem->pTab->zName;
  2624     n = strlen(z);
  2625     if( n+nQPlan < sizeof(sqlite3_query_plan)-10 ){
  2626       if( pLevel->flags & WHERE_IDX_ONLY ){
  2627         memcpy(&sqlite3_query_plan[nQPlan], "{}", 2);
  2628         nQPlan += 2;
  2629       }else{
  2630         memcpy(&sqlite3_query_plan[nQPlan], z, n);
  2631         nQPlan += n;
  2632       }
  2633       sqlite3_query_plan[nQPlan++] = ' ';
  2634     }
  2635     if( pLevel->flags & (WHERE_ROWID_EQ|WHERE_ROWID_RANGE) ){
  2636       memcpy(&sqlite3_query_plan[nQPlan], "* ", 2);
  2637       nQPlan += 2;
  2638     }else if( pLevel->pIdx==0 ){
  2639       memcpy(&sqlite3_query_plan[nQPlan], "{} ", 3);
  2640       nQPlan += 3;
  2641     }else{
  2642       n = strlen(pLevel->pIdx->zName);
  2643       if( n+nQPlan < sizeof(sqlite3_query_plan)-2 ){
  2644         memcpy(&sqlite3_query_plan[nQPlan], pLevel->pIdx->zName, n);
  2645         nQPlan += n;
  2646         sqlite3_query_plan[nQPlan++] = ' ';
  2647       }
  2648     }
  2649   }
  2650   while( nQPlan>0 && sqlite3_query_plan[nQPlan-1]==' ' ){
  2651     sqlite3_query_plan[--nQPlan] = 0;
  2652   }
  2653   sqlite3_query_plan[nQPlan] = 0;
  2654   nQPlan = 0;
  2655 #endif /* SQLITE_TEST // Testing and debugging use only */
  2656 
  2657   /* Record the continuation address in the WhereInfo structure.  Then
  2658   ** clean up and return.
  2659   */
  2660   pWInfo->iContinue = cont;
  2661   whereClauseClear(&wc);
  2662   return pWInfo;
  2663 
  2664   /* Jump here if malloc fails */
  2665 whereBeginNoMem:
  2666   whereClauseClear(&wc);
  2667   whereInfoFree(pWInfo);
  2668   return 0;
  2669 }
  2670 
  2671 /*
  2672 ** Generate the end of the WHERE loop.  See comments on 
  2673 ** sqlite3WhereBegin() for additional information.
  2674 */
  2675 void sqlite3WhereEnd(WhereInfo *pWInfo){
  2676   Vdbe *v = pWInfo->pParse->pVdbe;
  2677   int i;
  2678   WhereLevel *pLevel;
  2679   SrcList *pTabList = pWInfo->pTabList;
  2680 
  2681   /* Generate loop termination code.
  2682   */
  2683   for(i=pTabList->nSrc-1; i>=0; i--){
  2684     pLevel = &pWInfo->a[i];
  2685     sqlite3VdbeResolveLabel(v, pLevel->cont);
  2686     if( pLevel->op!=OP_Noop ){
  2687       sqlite3VdbeAddOp(v, pLevel->op, pLevel->p1, pLevel->p2);
  2688     }
  2689     if( pLevel->nIn ){
  2690       struct InLoop *pIn;
  2691       int j;
  2692       sqlite3VdbeResolveLabel(v, pLevel->nxt);
  2693       for(j=pLevel->nIn, pIn=&pLevel->aInLoop[j-1]; j>0; j--, pIn--){
  2694         sqlite3VdbeJumpHere(v, pIn->topAddr+1);
  2695         sqlite3VdbeAddOp(v, OP_Next, pIn->iCur, pIn->topAddr);
  2696         sqlite3VdbeJumpHere(v, pIn->topAddr-1);
  2697       }
  2698       sqlite3_free(pLevel->aInLoop);
  2699     }
  2700     sqlite3VdbeResolveLabel(v, pLevel->brk);
  2701     if( pLevel->iLeftJoin ){
  2702       int addr;
  2703       addr = sqlite3VdbeAddOp(v, OP_IfMemPos, pLevel->iLeftJoin, 0);
  2704       sqlite3VdbeAddOp(v, OP_NullRow, pTabList->a[i].iCursor, 0);
  2705       if( pLevel->iIdxCur>=0 ){
  2706         sqlite3VdbeAddOp(v, OP_NullRow, pLevel->iIdxCur, 0);
  2707       }
  2708       sqlite3VdbeAddOp(v, OP_Goto, 0, pLevel->top);
  2709       sqlite3VdbeJumpHere(v, addr);
  2710     }
  2711   }
  2712 
  2713   /* The "break" point is here, just past the end of the outer loop.
  2714   ** Set it.
  2715   */
  2716   sqlite3VdbeResolveLabel(v, pWInfo->iBreak);
  2717 
  2718   /* Close all of the cursors that were opened by sqlite3WhereBegin.
  2719   */
  2720   for(i=0, pLevel=pWInfo->a; i<pTabList->nSrc; i++, pLevel++){
  2721     struct SrcList_item *pTabItem = &pTabList->a[pLevel->iFrom];
  2722     Table *pTab = pTabItem->pTab;
  2723     assert( pTab!=0 );
  2724     if( pTab->isEphem || pTab->pSelect ) continue;
  2725     if( (pLevel->flags & WHERE_IDX_ONLY)==0 ){
  2726       sqlite3VdbeAddOp(v, OP_Close, pTabItem->iCursor, 0);
  2727     }
  2728     if( pLevel->pIdx!=0 ){
  2729       sqlite3VdbeAddOp(v, OP_Close, pLevel->iIdxCur, 0);
  2730     }
  2731 
  2732     /* Make cursor substitutions for cases where we want to use
  2733     ** just the index and never reference the table.
  2734     ** 
  2735     ** Calls to the code generator in between sqlite3WhereBegin and
  2736     ** sqlite3WhereEnd will have created code that references the table
  2737     ** directly.  This loop scans all that code looking for opcodes
  2738     ** that reference the table and converts them into opcodes that
  2739     ** reference the index.
  2740     */
  2741     if( pLevel->flags & WHERE_IDX_ONLY ){
  2742       int k, j, last;
  2743       VdbeOp *pOp;
  2744       Index *pIdx = pLevel->pIdx;
  2745 
  2746       assert( pIdx!=0 );
  2747       pOp = sqlite3VdbeGetOp(v, pWInfo->iTop);
  2748       last = sqlite3VdbeCurrentAddr(v);
  2749       for(k=pWInfo->iTop; k<last; k++, pOp++){
  2750         if( pOp->p1!=pLevel->iTabCur ) continue;
  2751         if( pOp->opcode==OP_Column ){
  2752           pOp->p1 = pLevel->iIdxCur;
  2753           for(j=0; j<pIdx->nColumn; j++){
  2754             if( pOp->p2==pIdx->aiColumn[j] ){
  2755               pOp->p2 = j;
  2756               break;
  2757             }
  2758           }
  2759         }else if( pOp->opcode==OP_Rowid ){
  2760           pOp->p1 = pLevel->iIdxCur;
  2761           pOp->opcode = OP_IdxRowid;
  2762         }else if( pOp->opcode==OP_NullRow ){
  2763           pOp->opcode = OP_Noop;
  2764         }
  2765       }
  2766     }
  2767   }
  2768 
  2769   /* Final cleanup
  2770   */
  2771   whereInfoFree(pWInfo);
  2772   return;
  2773 }