Adding upstream version 3.40.1.upstream/3.40.1upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 714 insertions, 0 deletions

diff --git a/ext/fts5/fts5_aux.c b/ext/fts5/fts5_aux.c
new file mode 100644
index 0000000..77f6d5b
--- /dev/null
+++ b/ext/fts5/fts5_aux.c
@@ -0,0 +1,714 @@
+/*
+** 2014 May 31
+**
+** The author disclaims copyright to this source code.  In place of
+** a legal notice, here is a blessing:
+**
+**    May you do good and not evil.
+**    May you find forgiveness for yourself and forgive others.
+**    May you share freely, never taking more than you give.
+**
+******************************************************************************
+*/
+
+
+#include "fts5Int.h"
+#include <math.h>                 /* amalgamator: keep */
+
+/*
+** Object used to iterate through all "coalesced phrase instances" in 
+** a single column of the current row. If the phrase instances in the
+** column being considered do not overlap, this object simply iterates
+** through them. Or, if they do overlap (share one or more tokens in
+** common), each set of overlapping instances is treated as a single
+** match. See documentation for the highlight() auxiliary function for
+** details.
+**
+** Usage is:
+**
+**   for(rc = fts5CInstIterNext(pApi, pFts, iCol, &iter);
+**      (rc==SQLITE_OK && 0==fts5CInstIterEof(&iter);
+**      rc = fts5CInstIterNext(&iter)
+**   ){
+**     printf("instance starts at %d, ends at %d\n", iter.iStart, iter.iEnd);
+**   }
+**
+*/
+typedef struct CInstIter CInstIter;
+struct CInstIter {
+  const Fts5ExtensionApi *pApi;   /* API offered by current FTS version */
+  Fts5Context *pFts;              /* First arg to pass to pApi functions */
+  int iCol;                       /* Column to search */
+  int iInst;                      /* Next phrase instance index */
+  int nInst;                      /* Total number of phrase instances */
+
+  /* Output variables */
+  int iStart;                     /* First token in coalesced phrase instance */
+  int iEnd;                       /* Last token in coalesced phrase instance */
+};
+
+/*
+** Advance the iterator to the next coalesced phrase instance. Return
+** an SQLite error code if an error occurs, or SQLITE_OK otherwise.
+*/
+static int fts5CInstIterNext(CInstIter *pIter){
+  int rc = SQLITE_OK;
+  pIter->iStart = -1;
+  pIter->iEnd = -1;
+
+  while( rc==SQLITE_OK && pIter->iInst<pIter->nInst ){
+    int ip; int ic; int io;
+    rc = pIter->pApi->xInst(pIter->pFts, pIter->iInst, &ip, &ic, &io);
+    if( rc==SQLITE_OK ){
+      if( ic==pIter->iCol ){
+        int iEnd = io - 1 + pIter->pApi->xPhraseSize(pIter->pFts, ip);
+        if( pIter->iStart<0 ){
+          pIter->iStart = io;
+          pIter->iEnd = iEnd;
+        }else if( io<=pIter->iEnd ){
+          if( iEnd>pIter->iEnd ) pIter->iEnd = iEnd;
+        }else{
+          break;
+        }
+      }
+      pIter->iInst++;
+    }
+  }
+
+  return rc;
+}
+
+/*
+** Initialize the iterator object indicated by the final parameter to 
+** iterate through coalesced phrase instances in column iCol.
+*/
+static int fts5CInstIterInit(
+  const Fts5ExtensionApi *pApi,
+  Fts5Context *pFts,
+  int iCol,
+  CInstIter *pIter
+){
+  int rc;
+
+  memset(pIter, 0, sizeof(CInstIter));
+  pIter->pApi = pApi;
+  pIter->pFts = pFts;
+  pIter->iCol = iCol;
+  rc = pApi->xInstCount(pFts, &pIter->nInst);
+
+  if( rc==SQLITE_OK ){
+    rc = fts5CInstIterNext(pIter);
+  }
+
+  return rc;
+}
+
+
+
+/*************************************************************************
+** Start of highlight() implementation.
+*/
+typedef struct HighlightContext HighlightContext;
+struct HighlightContext {
+  CInstIter iter;                 /* Coalesced Instance Iterator */
+  int iPos;                       /* Current token offset in zIn[] */
+  int iRangeStart;                /* First token to include */
+  int iRangeEnd;                  /* If non-zero, last token to include */
+  const char *zOpen;              /* Opening highlight */
+  const char *zClose;             /* Closing highlight */
+  const char *zIn;                /* Input text */
+  int nIn;                        /* Size of input text in bytes */
+  int iOff;                       /* Current offset within zIn[] */
+  char *zOut;                     /* Output value */
+};
+
+/*
+** Append text to the HighlightContext output string - p->zOut. Argument
+** z points to a buffer containing n bytes of text to append. If n is 
+** negative, everything up until the first '\0' is appended to the output.
+**
+** If *pRc is set to any value other than SQLITE_OK when this function is 
+** called, it is a no-op. If an error (i.e. an OOM condition) is encountered, 
+** *pRc is set to an error code before returning. 
+*/
+static void fts5HighlightAppend(
+  int *pRc, 
+  HighlightContext *p, 
+  const char *z, int n
+){
+  if( *pRc==SQLITE_OK && z ){
+    if( n<0 ) n = (int)strlen(z);
+    p->zOut = sqlite3_mprintf("%z%.*s", p->zOut, n, z);
+    if( p->zOut==0 ) *pRc = SQLITE_NOMEM;
+  }
+}
+
+/*
+** Tokenizer callback used by implementation of highlight() function.
+*/
+static int fts5HighlightCb(
+  void *pContext,                 /* Pointer to HighlightContext object */
+  int tflags,                     /* Mask of FTS5_TOKEN_* flags */
+  const char *pToken,             /* Buffer containing token */
+  int nToken,                     /* Size of token in bytes */
+  int iStartOff,                  /* Start offset of token */
+  int iEndOff                     /* End offset of token */
+){
+  HighlightContext *p = (HighlightContext*)pContext;
+  int rc = SQLITE_OK;
+  int iPos;
+
+  UNUSED_PARAM2(pToken, nToken);
+
+  if( tflags & FTS5_TOKEN_COLOCATED ) return SQLITE_OK;
+  iPos = p->iPos++;
+
+  if( p->iRangeEnd>0 ){
+    if( iPos<p->iRangeStart || iPos>p->iRangeEnd ) return SQLITE_OK;
+    if( p->iRangeStart && iPos==p->iRangeStart ) p->iOff = iStartOff;
+  }
+
+  if( iPos==p->iter.iStart ){
+    fts5HighlightAppend(&rc, p, &p->zIn[p->iOff], iStartOff - p->iOff);
+    fts5HighlightAppend(&rc, p, p->zOpen, -1);
+    p->iOff = iStartOff;
+  }
+
+  if( iPos==p->iter.iEnd ){
+    if( p->iRangeEnd && p->iter.iStart<p->iRangeStart ){
+      fts5HighlightAppend(&rc, p, p->zOpen, -1);
+    }
+    fts5HighlightAppend(&rc, p, &p->zIn[p->iOff], iEndOff - p->iOff);
+    fts5HighlightAppend(&rc, p, p->zClose, -1);
+    p->iOff = iEndOff;
+    if( rc==SQLITE_OK ){
+      rc = fts5CInstIterNext(&p->iter);
+    }
+  }
+
+  if( p->iRangeEnd>0 && iPos==p->iRangeEnd ){
+    fts5HighlightAppend(&rc, p, &p->zIn[p->iOff], iEndOff - p->iOff);
+    p->iOff = iEndOff;
+    if( iPos>=p->iter.iStart && iPos<p->iter.iEnd ){
+      fts5HighlightAppend(&rc, p, p->zClose, -1);
+    }
+  }
+
+  return rc;
+}
+
+/*
+** Implementation of highlight() function.
+*/
+static void fts5HighlightFunction(
+  const Fts5ExtensionApi *pApi,   /* API offered by current FTS version */
+  Fts5Context *pFts,              /* First arg to pass to pApi functions */
+  sqlite3_context *pCtx,          /* Context for returning result/error */
+  int nVal,                       /* Number of values in apVal[] array */
+  sqlite3_value **apVal           /* Array of trailing arguments */
+){
+  HighlightContext ctx;
+  int rc;
+  int iCol;
+
+  if( nVal!=3 ){
+    const char *zErr = "wrong number of arguments to function highlight()";
+    sqlite3_result_error(pCtx, zErr, -1);
+    return;
+  }
+
+  iCol = sqlite3_value_int(apVal[0]);
+  memset(&ctx, 0, sizeof(HighlightContext));
+  ctx.zOpen = (const char*)sqlite3_value_text(apVal[1]);
+  ctx.zClose = (const char*)sqlite3_value_text(apVal[2]);
+  rc = pApi->xColumnText(pFts, iCol, &ctx.zIn, &ctx.nIn);
+
+  if( ctx.zIn ){
+    if( rc==SQLITE_OK ){
+      rc = fts5CInstIterInit(pApi, pFts, iCol, &ctx.iter);
+    }
+
+    if( rc==SQLITE_OK ){
+      rc = pApi->xTokenize(pFts, ctx.zIn, ctx.nIn, (void*)&ctx,fts5HighlightCb);
+    }
+    fts5HighlightAppend(&rc, &ctx, &ctx.zIn[ctx.iOff], ctx.nIn - ctx.iOff);
+
+    if( rc==SQLITE_OK ){
+      sqlite3_result_text(pCtx, (const char*)ctx.zOut, -1, SQLITE_TRANSIENT);
+    }
+    sqlite3_free(ctx.zOut);
+  }
+  if( rc!=SQLITE_OK ){
+    sqlite3_result_error_code(pCtx, rc);
+  }
+}
+/*
+** End of highlight() implementation.
+**************************************************************************/
+
+/*
+** Context object passed to the fts5SentenceFinderCb() function.
+*/
+typedef struct Fts5SFinder Fts5SFinder;
+struct Fts5SFinder {
+  int iPos;                       /* Current token position */
+  int nFirstAlloc;                /* Allocated size of aFirst[] */
+  int nFirst;                     /* Number of entries in aFirst[] */
+  int *aFirst;                    /* Array of first token in each sentence */
+  const char *zDoc;               /* Document being tokenized */
+};
+
+/*
+** Add an entry to the Fts5SFinder.aFirst[] array. Grow the array if
+** necessary. Return SQLITE_OK if successful, or SQLITE_NOMEM if an
+** error occurs.
+*/
+static int fts5SentenceFinderAdd(Fts5SFinder *p, int iAdd){
+  if( p->nFirstAlloc==p->nFirst ){
+    int nNew = p->nFirstAlloc ? p->nFirstAlloc*2 : 64;
+    int *aNew;
+
+    aNew = (int*)sqlite3_realloc64(p->aFirst, nNew*sizeof(int));
+    if( aNew==0 ) return SQLITE_NOMEM;
+    p->aFirst = aNew;
+    p->nFirstAlloc = nNew;
+  }
+  p->aFirst[p->nFirst++] = iAdd;
+  return SQLITE_OK;
+}
+
+/*
+** This function is an xTokenize() callback used by the auxiliary snippet()
+** function. Its job is to identify tokens that are the first in a sentence.
+** For each such token, an entry is added to the SFinder.aFirst[] array.
+*/
+static int fts5SentenceFinderCb(
+  void *pContext,                 /* Pointer to HighlightContext object */
+  int tflags,                     /* Mask of FTS5_TOKEN_* flags */
+  const char *pToken,             /* Buffer containing token */
+  int nToken,                     /* Size of token in bytes */
+  int iStartOff,                  /* Start offset of token */
+  int iEndOff                     /* End offset of token */
+){
+  int rc = SQLITE_OK;
+
+  UNUSED_PARAM2(pToken, nToken);
+  UNUSED_PARAM(iEndOff);
+
+  if( (tflags & FTS5_TOKEN_COLOCATED)==0 ){
+    Fts5SFinder *p = (Fts5SFinder*)pContext;
+    if( p->iPos>0 ){
+      int i;
+      char c = 0;
+      for(i=iStartOff-1; i>=0; i--){
+        c = p->zDoc[i];
+        if( c!=' ' && c!='\t' && c!='\n' && c!='\r' ) break;
+      }
+      if( i!=iStartOff-1 && (c=='.' || c==':') ){
+        rc = fts5SentenceFinderAdd(p, p->iPos);
+      }
+    }else{
+      rc = fts5SentenceFinderAdd(p, 0);
+    }
+    p->iPos++;
+  }
+  return rc;
+}
+
+static int fts5SnippetScore(
+  const Fts5ExtensionApi *pApi,   /* API offered by current FTS version */
+  Fts5Context *pFts,              /* First arg to pass to pApi functions */
+  int nDocsize,                   /* Size of column in tokens */
+  unsigned char *aSeen,           /* Array with one element per query phrase */
+  int iCol,                       /* Column to score */
+  int iPos,                       /* Starting offset to score */
+  int nToken,                     /* Max tokens per snippet */
+  int *pnScore,                   /* OUT: Score */
+  int *piPos                      /* OUT: Adjusted offset */
+){
+  int rc;
+  int i;
+  int ip = 0;
+  int ic = 0;
+  int iOff = 0;
+  int iFirst = -1;
+  int nInst;
+  int nScore = 0;
+  int iLast = 0;
+  sqlite3_int64 iEnd = (sqlite3_int64)iPos + nToken;
+
+  rc = pApi->xInstCount(pFts, &nInst);
+  for(i=0; i<nInst && rc==SQLITE_OK; i++){
+    rc = pApi->xInst(pFts, i, &ip, &ic, &iOff);
+    if( rc==SQLITE_OK && ic==iCol && iOff>=iPos && iOff<iEnd ){
+      nScore += (aSeen[ip] ? 1 : 1000);
+      aSeen[ip] = 1;
+      if( iFirst<0 ) iFirst = iOff;
+      iLast = iOff + pApi->xPhraseSize(pFts, ip);
+    }
+  }
+
+  *pnScore = nScore;
+  if( piPos ){
+    sqlite3_int64 iAdj = iFirst - (nToken - (iLast-iFirst)) / 2;
+    if( (iAdj+nToken)>nDocsize ) iAdj = nDocsize - nToken;
+    if( iAdj<0 ) iAdj = 0;
+    *piPos = (int)iAdj;
+  }
+
+  return rc;
+}
+
+/*
+** Return the value in pVal interpreted as utf-8 text. Except, if pVal 
+** contains a NULL value, return a pointer to a static string zero
+** bytes in length instead of a NULL pointer.
+*/
+static const char *fts5ValueToText(sqlite3_value *pVal){
+  const char *zRet = (const char*)sqlite3_value_text(pVal);
+  return zRet ? zRet : "";
+}
+
+/*
+** Implementation of snippet() function.
+*/
+static void fts5SnippetFunction(
+  const Fts5ExtensionApi *pApi,   /* API offered by current FTS version */
+  Fts5Context *pFts,              /* First arg to pass to pApi functions */
+  sqlite3_context *pCtx,          /* Context for returning result/error */
+  int nVal,                       /* Number of values in apVal[] array */
+  sqlite3_value **apVal           /* Array of trailing arguments */
+){
+  HighlightContext ctx;
+  int rc = SQLITE_OK;             /* Return code */
+  int iCol;                       /* 1st argument to snippet() */
+  const char *zEllips;            /* 4th argument to snippet() */
+  int nToken;                     /* 5th argument to snippet() */
+  int nInst = 0;                  /* Number of instance matches this row */
+  int i;                          /* Used to iterate through instances */
+  int nPhrase;                    /* Number of phrases in query */
+  unsigned char *aSeen;           /* Array of "seen instance" flags */
+  int iBestCol;                   /* Column containing best snippet */
+  int iBestStart = 0;             /* First token of best snippet */
+  int nBestScore = 0;             /* Score of best snippet */
+  int nColSize = 0;               /* Total size of iBestCol in tokens */
+  Fts5SFinder sFinder;            /* Used to find the beginnings of sentences */
+  int nCol;
+
+  if( nVal!=5 ){
+    const char *zErr = "wrong number of arguments to function snippet()";
+    sqlite3_result_error(pCtx, zErr, -1);
+    return;
+  }
+
+  nCol = pApi->xColumnCount(pFts);
+  memset(&ctx, 0, sizeof(HighlightContext));
+  iCol = sqlite3_value_int(apVal[0]);
+  ctx.zOpen = fts5ValueToText(apVal[1]);
+  ctx.zClose = fts5ValueToText(apVal[2]);
+  zEllips = fts5ValueToText(apVal[3]);
+  nToken = sqlite3_value_int(apVal[4]);
+
+  iBestCol = (iCol>=0 ? iCol : 0);
+  nPhrase = pApi->xPhraseCount(pFts);
+  aSeen = sqlite3_malloc(nPhrase);
+  if( aSeen==0 ){
+    rc = SQLITE_NOMEM;
+  }
+  if( rc==SQLITE_OK ){
+    rc = pApi->xInstCount(pFts, &nInst);
+  }
+
+  memset(&sFinder, 0, sizeof(Fts5SFinder));
+  for(i=0; i<nCol; i++){
+    if( iCol<0 || iCol==i ){
+      int nDoc;
+      int nDocsize;
+      int ii;
+      sFinder.iPos = 0;
+      sFinder.nFirst = 0;
+      rc = pApi->xColumnText(pFts, i, &sFinder.zDoc, &nDoc);
+      if( rc!=SQLITE_OK ) break;
+      rc = pApi->xTokenize(pFts, 
+          sFinder.zDoc, nDoc, (void*)&sFinder,fts5SentenceFinderCb
+      );
+      if( rc!=SQLITE_OK ) break;
+      rc = pApi->xColumnSize(pFts, i, &nDocsize);
+      if( rc!=SQLITE_OK ) break;
+
+      for(ii=0; rc==SQLITE_OK && ii<nInst; ii++){
+        int ip, ic, io;
+        int iAdj;
+        int nScore;
+        int jj;
+
+        rc = pApi->xInst(pFts, ii, &ip, &ic, &io);
+        if( ic!=i ) continue;
+        if( io>nDocsize ) rc = FTS5_CORRUPT;
+        if( rc!=SQLITE_OK ) continue;
+        memset(aSeen, 0, nPhrase);
+        rc = fts5SnippetScore(pApi, pFts, nDocsize, aSeen, i,
+            io, nToken, &nScore, &iAdj
+        );
+        if( rc==SQLITE_OK && nScore>nBestScore ){
+          nBestScore = nScore;
+          iBestCol = i;
+          iBestStart = iAdj;
+          nColSize = nDocsize;
+        }
+
+        if( rc==SQLITE_OK && sFinder.nFirst && nDocsize>nToken ){
+          for(jj=0; jj<(sFinder.nFirst-1); jj++){
+            if( sFinder.aFirst[jj+1]>io ) break;
+          }
+
+          if( sFinder.aFirst[jj]<io ){
+            memset(aSeen, 0, nPhrase);
+            rc = fts5SnippetScore(pApi, pFts, nDocsize, aSeen, i, 
+              sFinder.aFirst[jj], nToken, &nScore, 0
+            );
+
+            nScore += (sFinder.aFirst[jj]==0 ? 120 : 100);
+            if( rc==SQLITE_OK && nScore>nBestScore ){
+              nBestScore = nScore;
+              iBestCol = i;
+              iBestStart = sFinder.aFirst[jj];
+              nColSize = nDocsize;
+            }
+          }
+        }
+      }
+    }
+  }
+
+  if( rc==SQLITE_OK ){
+    rc = pApi->xColumnText(pFts, iBestCol, &ctx.zIn, &ctx.nIn);
+  }
+  if( rc==SQLITE_OK && nColSize==0 ){
+    rc = pApi->xColumnSize(pFts, iBestCol, &nColSize);
+  }
+  if( ctx.zIn ){
+    if( rc==SQLITE_OK ){
+      rc = fts5CInstIterInit(pApi, pFts, iBestCol, &ctx.iter);
+    }
+
+    ctx.iRangeStart = iBestStart;
+    ctx.iRangeEnd = iBestStart + nToken - 1;
+
+    if( iBestStart>0 ){
+      fts5HighlightAppend(&rc, &ctx, zEllips, -1);
+    }
+
+    /* Advance iterator ctx.iter so that it points to the first coalesced
+    ** phrase instance at or following position iBestStart. */
+    while( ctx.iter.iStart>=0 && ctx.iter.iStart<iBestStart && rc==SQLITE_OK ){
+      rc = fts5CInstIterNext(&ctx.iter);
+    }
+
+    if( rc==SQLITE_OK ){
+      rc = pApi->xTokenize(pFts, ctx.zIn, ctx.nIn, (void*)&ctx,fts5HighlightCb);
+    }
+    if( ctx.iRangeEnd>=(nColSize-1) ){
+      fts5HighlightAppend(&rc, &ctx, &ctx.zIn[ctx.iOff], ctx.nIn - ctx.iOff);
+    }else{
+      fts5HighlightAppend(&rc, &ctx, zEllips, -1);
+    }
+  }
+  if( rc==SQLITE_OK ){
+    sqlite3_result_text(pCtx, (const char*)ctx.zOut, -1, SQLITE_TRANSIENT);
+  }else{
+    sqlite3_result_error_code(pCtx, rc);
+  }
+  sqlite3_free(ctx.zOut);
+  sqlite3_free(aSeen);
+  sqlite3_free(sFinder.aFirst);
+}
+
+/************************************************************************/
+
+/*
+** The first time the bm25() function is called for a query, an instance
+** of the following structure is allocated and populated.
+*/
+typedef struct Fts5Bm25Data Fts5Bm25Data;
+struct Fts5Bm25Data {
+  int nPhrase;                    /* Number of phrases in query */
+  double avgdl;                   /* Average number of tokens in each row */
+  double *aIDF;                   /* IDF for each phrase */
+  double *aFreq;                  /* Array used to calculate phrase freq. */
+};
+
+/*
+** Callback used by fts5Bm25GetData() to count the number of rows in the
+** table matched by each individual phrase within the query.
+*/
+static int fts5CountCb(
+  const Fts5ExtensionApi *pApi, 
+  Fts5Context *pFts,
+  void *pUserData                 /* Pointer to sqlite3_int64 variable */
+){
+  sqlite3_int64 *pn = (sqlite3_int64*)pUserData;
+  UNUSED_PARAM2(pApi, pFts);
+  (*pn)++;
+  return SQLITE_OK;
+}
+
+/*
+** Set *ppData to point to the Fts5Bm25Data object for the current query. 
+** If the object has not already been allocated, allocate and populate it
+** now.
+*/
+static int fts5Bm25GetData(
+  const Fts5ExtensionApi *pApi, 
+  Fts5Context *pFts,
+  Fts5Bm25Data **ppData           /* OUT: bm25-data object for this query */
+){
+  int rc = SQLITE_OK;             /* Return code */
+  Fts5Bm25Data *p;                /* Object to return */
+
+  p = (Fts5Bm25Data*)pApi->xGetAuxdata(pFts, 0);
+  if( p==0 ){
+    int nPhrase;                  /* Number of phrases in query */
+    sqlite3_int64 nRow = 0;       /* Number of rows in table */
+    sqlite3_int64 nToken = 0;     /* Number of tokens in table */
+    sqlite3_int64 nByte;          /* Bytes of space to allocate */
+    int i;
+
+    /* Allocate the Fts5Bm25Data object */
+    nPhrase = pApi->xPhraseCount(pFts);
+    nByte = sizeof(Fts5Bm25Data) + nPhrase*2*sizeof(double);
+    p = (Fts5Bm25Data*)sqlite3_malloc64(nByte);
+    if( p==0 ){
+      rc = SQLITE_NOMEM;
+    }else{
+      memset(p, 0, (size_t)nByte);
+      p->nPhrase = nPhrase;
+      p->aIDF = (double*)&p[1];
+      p->aFreq = &p->aIDF[nPhrase];
+    }
+
+    /* Calculate the average document length for this FTS5 table */
+    if( rc==SQLITE_OK ) rc = pApi->xRowCount(pFts, &nRow);
+    assert( rc!=SQLITE_OK || nRow>0 );
+    if( rc==SQLITE_OK ) rc = pApi->xColumnTotalSize(pFts, -1, &nToken);
+    if( rc==SQLITE_OK ) p->avgdl = (double)nToken  / (double)nRow;
+
+    /* Calculate an IDF for each phrase in the query */
+    for(i=0; rc==SQLITE_OK && i<nPhrase; i++){
+      sqlite3_int64 nHit = 0;
+      rc = pApi->xQueryPhrase(pFts, i, (void*)&nHit, fts5CountCb);
+      if( rc==SQLITE_OK ){
+        /* Calculate the IDF (Inverse Document Frequency) for phrase i.
+        ** This is done using the standard BM25 formula as found on wikipedia:
+        **
+        **   IDF = log( (N - nHit + 0.5) / (nHit + 0.5) )
+        **
+        ** where "N" is the total number of documents in the set and nHit
+        ** is the number that contain at least one instance of the phrase
+        ** under consideration.
+        **
+        ** The problem with this is that if (N < 2*nHit), the IDF is 
+        ** negative. Which is undesirable. So the mimimum allowable IDF is
+        ** (1e-6) - roughly the same as a term that appears in just over
+        ** half of set of 5,000,000 documents.  */
+        double idf = log( (nRow - nHit + 0.5) / (nHit + 0.5) );
+        if( idf<=0.0 ) idf = 1e-6;
+        p->aIDF[i] = idf;
+      }
+    }
+
+    if( rc!=SQLITE_OK ){
+      sqlite3_free(p);
+    }else{
+      rc = pApi->xSetAuxdata(pFts, p, sqlite3_free);
+    }
+    if( rc!=SQLITE_OK ) p = 0;
+  }
+  *ppData = p;
+  return rc;
+}
+
+/*
+** Implementation of bm25() function.
+*/
+static void fts5Bm25Function(
+  const Fts5ExtensionApi *pApi,   /* API offered by current FTS version */
+  Fts5Context *pFts,              /* First arg to pass to pApi functions */
+  sqlite3_context *pCtx,          /* Context for returning result/error */
+  int nVal,                       /* Number of values in apVal[] array */
+  sqlite3_value **apVal           /* Array of trailing arguments */
+){
+  const double k1 = 1.2;          /* Constant "k1" from BM25 formula */
+  const double b = 0.75;          /* Constant "b" from BM25 formula */
+  int rc;                         /* Error code */
+  double score = 0.0;             /* SQL function return value */
+  Fts5Bm25Data *pData;            /* Values allocated/calculated once only */
+  int i;                          /* Iterator variable */
+  int nInst = 0;                  /* Value returned by xInstCount() */
+  double D = 0.0;                 /* Total number of tokens in row */
+  double *aFreq = 0;              /* Array of phrase freq. for current row */
+
+  /* Calculate the phrase frequency (symbol "f(qi,D)" in the documentation)
+  ** for each phrase in the query for the current row. */
+  rc = fts5Bm25GetData(pApi, pFts, &pData);
+  if( rc==SQLITE_OK ){
+    aFreq = pData->aFreq;
+    memset(aFreq, 0, sizeof(double) * pData->nPhrase);
+    rc = pApi->xInstCount(pFts, &nInst);
+  }
+  for(i=0; rc==SQLITE_OK && i<nInst; i++){
+    int ip; int ic; int io;
+    rc = pApi->xInst(pFts, i, &ip, &ic, &io);
+    if( rc==SQLITE_OK ){
+      double w = (nVal > ic) ? sqlite3_value_double(apVal[ic]) : 1.0;
+      aFreq[ip] += w;
+    }
+  }
+
+  /* Figure out the total size of the current row in tokens. */
+  if( rc==SQLITE_OK ){
+    int nTok;
+    rc = pApi->xColumnSize(pFts, -1, &nTok);
+    D = (double)nTok;
+  }
+
+  /* Determine and return the BM25 score for the current row. Or, if an
+  ** error has occurred, throw an exception. */
+  if( rc==SQLITE_OK ){
+    for(i=0; i<pData->nPhrase; i++){
+      score += pData->aIDF[i] * (
+          ( aFreq[i] * (k1 + 1.0) ) / 
+          ( aFreq[i] + k1 * (1 - b + b * D / pData->avgdl) )
+      );
+    }
+    sqlite3_result_double(pCtx, -1.0 * score);
+  }else{
+    sqlite3_result_error_code(pCtx, rc);
+  }
+}
+
+int sqlite3Fts5AuxInit(fts5_api *pApi){
+  struct Builtin {
+    const char *zFunc;            /* Function name (nul-terminated) */
+    void *pUserData;              /* User-data pointer */
+    fts5_extension_function xFunc;/* Callback function */
+    void (*xDestroy)(void*);      /* Destructor function */
+  } aBuiltin [] = {
+    { "snippet",   0, fts5SnippetFunction, 0 },
+    { "highlight", 0, fts5HighlightFunction, 0 },
+    { "bm25",      0, fts5Bm25Function,    0 },
+  };
+  int rc = SQLITE_OK;             /* Return code */
+  int i;                          /* To iterate through builtin functions */
+
+  for(i=0; rc==SQLITE_OK && i<ArraySize(aBuiltin); i++){
+    rc = pApi->xCreateFunction(pApi,
+        aBuiltin[i].zFunc,
+        aBuiltin[i].pUserData,
+        aBuiltin[i].xFunc,
+        aBuiltin[i].xDestroy
+    );
+  }
+
+  return rc;
+}