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    1   package org.apache.lucene.search;
    2   
    3   /**
    4    * Licensed to the Apache Software Foundation (ASF) under one or more
    5    * contributor license agreements.  See the NOTICE file distributed with
    6    * this work for additional information regarding copyright ownership.
    7    * The ASF licenses this file to You under the Apache License, Version 2.0
    8    * (the "License"); you may not use this file except in compliance with
    9    * the License.  You may obtain a copy of the License at
   10    *
   11    *     http://www.apache.org/licenses/LICENSE-2.0
   12    *
   13    * Unless required by applicable law or agreed to in writing, software
   14    * distributed under the License is distributed on an "AS IS" BASIS,
   15    * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
   16    * See the License for the specific language governing permissions and
   17    * limitations under the License.
   18    */
   19   
   20   
   21   import org.apache.lucene.index.FieldInvertState;
   22   import org.apache.lucene.index.Term;
   23   import org.apache.lucene.search.Explanation.IDFExplanation;
   24   import org.apache.lucene.util.SmallFloat;
   25   
   26   import java.io.IOException;
   27   import java.io.Serializable;
   28   import java.util.Collection;
   29   import java.util.IdentityHashMap;
   30   
   31   
   32   /** 
   33    * Expert: Scoring API.
   34    *
   35    * <p>Similarity defines the components of Lucene scoring.
   36    * Overriding computation of these components is a convenient
   37    * way to alter Lucene scoring.
   38    *
   39    * <p>Suggested reading:
   40    * <a href="http://nlp.stanford.edu/IR-book/html/htmledition/queries-as-vectors-1.html">
   41    * Introduction To Information Retrieval, Chapter 6</a>.
   42    *
   43    * <p>The following describes how Lucene scoring evolves from
   44    * underlying information retrieval models to (efficient) implementation.
   45    * We first brief on <i>VSM Score</i>, 
   46    * then derive from it <i>Lucene's Conceptual Scoring Formula</i>,
   47    * from which, finally, evolves <i>Lucene's Practical Scoring Function</i> 
   48    * (the latter is connected directly with Lucene classes and methods).    
   49    *
   50    * <p>Lucene combines
   51    * <a href="http://en.wikipedia.org/wiki/Standard_Boolean_model">
   52    * Boolean model (BM) of Information Retrieval</a>
   53    * with
   54    * <a href="http://en.wikipedia.org/wiki/Vector_Space_Model">
   55    * Vector Space Model (VSM) of Information Retrieval</a> -
   56    * documents "approved" by BM are scored by VSM.
   57    *
   58    * <p>In VSM, documents and queries are represented as
   59    * weighted vectors in a multi-dimensional space,
   60    * where each distinct index term is a dimension,
   61    * and weights are
   62    * <a href="http://en.wikipedia.org/wiki/Tfidf">Tf-idf</a> values.
   63    *
   64    * <p>VSM does not require weights to be <i>Tf-idf</i> values,
   65    * but <i>Tf-idf</i> values are believed to produce search results of high quality,
   66    * and so Lucene is using <i>Tf-idf</i>.
   67    * <i>Tf</i> and <i>Idf</i> are described in more detail below,
   68    * but for now, for completion, let's just say that
   69    * for given term <i>t</i> and document (or query) <i>x</i>,
   70    * <i>Tf(t,x)</i> varies with the number of occurrences of term <i>t</i> in <i>x</i>
   71    * (when one increases so does the other) and
   72    * <i>idf(t)</i> similarly varies with the inverse of the
   73    * number of index documents containing term <i>t</i>.
   74    *
   75    * <p><i>VSM score</i> of document <i>d</i> for query <i>q</i> is the
   76    * <a href="http://en.wikipedia.org/wiki/Cosine_similarity">
   77    * Cosine Similarity</a>
   78    * of the weighted query vectors <i>V(q)</i> and <i>V(d)</i>:
   79    *
   80    *  <br>&nbsp;<br>
   81    *  <table cellpadding="2" cellspacing="2" border="0" align="center">
   82    *    <tr><td>
   83    *    <table cellpadding="1" cellspacing="0" border="1" align="center">
   84    *      <tr><td>
   85    *      <table cellpadding="2" cellspacing="2" border="0" align="center">
   86    *        <tr>
   87    *          <td valign="middle" align="right" rowspan="1">
   88    *            cosine-similarity(q,d) &nbsp; = &nbsp;
   89    *          </td>
   90    *          <td valign="middle" align="center">
   91    *            <table>
   92    *               <tr><td align="center"><small>V(q)&nbsp;&middot;&nbsp;V(d)</small></td></tr>
   93    *               <tr><td align="center">&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;</td></tr>
   94    *               <tr><td align="center"><small>|V(q)|&nbsp;|V(d)|</small></td></tr>
   95    *            </table>
   96    *          </td>
   97    *        </tr>
   98    *      </table>
   99    *      </td></tr>
  100    *    </table>
  101    *    </td></tr>
  102    *    <tr><td>
  103    *    <center><font=-1><u>VSM Score</u></font></center>
  104    *    </td></tr>
  105    *  </table>
  106    *  <br>&nbsp;<br>
  107    *   
  108    *
  109    * Where <i>V(q)</i> &middot; <i>V(d)</i> is the
  110    * <a href="http://en.wikipedia.org/wiki/Dot_product">dot product</a>
  111    * of the weighted vectors,
  112    * and <i>|V(q)|</i> and <i>|V(d)|</i> are their
  113    * <a href="http://en.wikipedia.org/wiki/Euclidean_norm#Euclidean_norm">Euclidean norms</a>.
  114    *
  115    * <p>Note: the above equation can be viewed as the dot product of
  116    * the normalized weighted vectors, in the sense that dividing
  117    * <i>V(q)</i> by its euclidean norm is normalizing it to a unit vector.
  118    *
  119    * <p>Lucene refines <i>VSM score</i> for both search quality and usability:
  120    * <ul>
  121    *  <li>Normalizing <i>V(d)</i> to the unit vector is known to be problematic in that 
  122    *  it removes all document length information. 
  123    *  For some documents removing this info is probably ok, 
  124    *  e.g. a document made by duplicating a certain paragraph <i>10</i> times,
  125    *  especially if that paragraph is made of distinct terms. 
  126    *  But for a document which contains no duplicated paragraphs, 
  127    *  this might be wrong. 
  128    *  To avoid this problem, a different document length normalization 
  129    *  factor is used, which normalizes to a vector equal to or larger 
  130    *  than the unit vector: <i>doc-len-norm(d)</i>.
  131    *  </li>
  132    *
  133    *  <li>At indexing, users can specify that certain documents are more
  134    *  important than others, by assigning a document boost.
  135    *  For this, the score of each document is also multiplied by its boost value
  136    *  <i>doc-boost(d)</i>.
  137    *  </li>
  138    *
  139    *  <li>Lucene is field based, hence each query term applies to a single
  140    *  field, document length normalization is by the length of the certain field,
  141    *  and in addition to document boost there are also document fields boosts.
  142    *  </li>
  143    *
  144    *  <li>The same field can be added to a document during indexing several times,
  145    *  and so the boost of that field is the multiplication of the boosts of
  146    *  the separate additions (or parts) of that field within the document.
  147    *  </li>
  148    *
  149    *  <li>At search time users can specify boosts to each query, sub-query, and
  150    *  each query term, hence the contribution of a query term to the score of
  151    *  a document is multiplied by the boost of that query term <i>query-boost(q)</i>.
  152    *  </li>
  153    *
  154    *  <li>A document may match a multi term query without containing all
  155    *  the terms of that query (this is correct for some of the queries),
  156    *  and users can further reward documents matching more query terms
  157    *  through a coordination factor, which is usually larger when
  158    *  more terms are matched: <i>coord-factor(q,d)</i>.
  159    *  </li>
  160    * </ul>
  161    *
  162    * <p>Under the simplifying assumption of a single field in the index,
  163    * we get <i>Lucene's Conceptual scoring formula</i>:
  164    *
  165    *  <br>&nbsp;<br>
  166    *  <table cellpadding="2" cellspacing="2" border="0" align="center">
  167    *    <tr><td>
  168    *    <table cellpadding="1" cellspacing="0" border="1" align="center">
  169    *      <tr><td>
  170    *      <table cellpadding="2" cellspacing="2" border="0" align="center">
  171    *        <tr>
  172    *          <td valign="middle" align="right" rowspan="1">
  173    *            score(q,d) &nbsp; = &nbsp;
  174    *            <font color="#FF9933">coord-factor(q,d)</font> &middot; &nbsp;
  175    *            <font color="#CCCC00">query-boost(q)</font> &middot; &nbsp;
  176    *          </td>
  177    *          <td valign="middle" align="center">
  178    *            <table>
  179    *               <tr><td align="center"><small><font color="#993399">V(q)&nbsp;&middot;&nbsp;V(d)</font></small></td></tr>
  180    *               <tr><td align="center">&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;</td></tr>
  181    *               <tr><td align="center"><small><font color="#FF33CC">|V(q)|</font></small></td></tr>
  182    *            </table>
  183    *          </td>
  184    *          <td valign="middle" align="right" rowspan="1">
  185    *            &nbsp; &middot; &nbsp; <font color="#3399FF">doc-len-norm(d)</font>
  186    *            &nbsp; &middot; &nbsp; <font color="#3399FF">doc-boost(d)</font>
  187    *          </td>
  188    *        </tr>
  189    *      </table>
  190    *      </td></tr>
  191    *    </table>
  192    *    </td></tr>
  193    *    <tr><td>
  194    *    <center><font=-1><u>Lucene Conceptual Scoring Formula</u></font></center>
  195    *    </td></tr>
  196    *  </table>
  197    *  <br>&nbsp;<br>
  198    *
  199    * <p>The conceptual formula is a simplification in the sense that (1) terms and documents
  200    * are fielded and (2) boosts are usually per query term rather than per query.
  201    *
  202    * <p>We now describe how Lucene implements this conceptual scoring formula, and
  203    * derive from it <i>Lucene's Practical Scoring Function</i>.
  204    *  
  205    * <p>For efficient score computation some scoring components
  206    * are computed and aggregated in advance:
  207    *
  208    * <ul>
  209    *  <li><i>Query-boost</i> for the query (actually for each query term)
  210    *  is known when search starts.
  211    *  </li>
  212    *
  213    *  <li>Query Euclidean norm <i>|V(q)|</i> can be computed when search starts,
  214    *  as it is independent of the document being scored.
  215    *  From search optimization perspective, it is a valid question
  216    *  why bother to normalize the query at all, because all
  217    *  scored documents will be multiplied by the same <i>|V(q)|</i>,
  218    *  and hence documents ranks (their order by score) will not
  219    *  be affected by this normalization.
  220    *  There are two good reasons to keep this normalization:
  221    *  <ul>
  222    *   <li>Recall that
  223    *   <a href="http://en.wikipedia.org/wiki/Cosine_similarity">
  224    *   Cosine Similarity</a> can be used find how similar
  225    *   two documents are. One can use Lucene for e.g.
  226    *   clustering, and use a document as a query to compute
  227    *   its similarity to other documents.
  228    *   In this use case it is important that the score of document <i>d3</i>
  229    *   for query <i>d1</i> is comparable to the score of document <i>d3</i>
  230    *   for query <i>d2</i>. In other words, scores of a document for two
  231    *   distinct queries should be comparable.
  232    *   There are other applications that may require this.
  233    *   And this is exactly what normalizing the query vector <i>V(q)</i>
  234    *   provides: comparability (to a certain extent) of two or more queries.
  235    *   </li>
  236    *
  237    *   <li>Applying query normalization on the scores helps to keep the
  238    *   scores around the unit vector, hence preventing loss of score data
  239    *   because of floating point precision limitations.
  240    *   </li>
  241    *  </ul>
  242    *  </li>
  243    *
  244    *  <li>Document length norm <i>doc-len-norm(d)</i> and document
  245    *  boost <i>doc-boost(d)</i> are known at indexing time.
  246    *  They are computed in advance and their multiplication
  247    *  is saved as a single value in the index: <i>norm(d)</i>.
  248    *  (In the equations below, <i>norm(t in d)</i> means <i>norm(field(t) in doc d)</i>
  249    *  where <i>field(t)</i> is the field associated with term <i>t</i>.)
  250    *  </li>
  251    * </ul>
  252    *
  253    * <p><i>Lucene's Practical Scoring Function</i> is derived from the above.
  254    * The color codes demonstrate how it relates
  255    * to those of the <i>conceptual</i> formula:
  256    *
  257    * <P>
  258    * <table cellpadding="2" cellspacing="2" border="0" align="center">
  259    *  <tr><td>
  260    *  <table cellpadding="" cellspacing="2" border="2" align="center">
  261    *  <tr><td>
  262    *   <table cellpadding="2" cellspacing="2" border="0" align="center">
  263    *   <tr>
  264    *     <td valign="middle" align="right" rowspan="1">
  265    *       score(q,d) &nbsp; = &nbsp;
  266    *       <A HREF="#formula_coord"><font color="#FF9933">coord(q,d)</font></A> &nbsp;&middot;&nbsp;
  267    *       <A HREF="#formula_queryNorm"><font color="#FF33CC">queryNorm(q)</font></A> &nbsp;&middot;&nbsp;
  268    *     </td>
  269    *     <td valign="bottom" align="center" rowspan="1">
  270    *       <big><big><big>&sum;</big></big></big>
  271    *     </td>
  272    *     <td valign="middle" align="right" rowspan="1">
  273    *       <big><big>(</big></big>
  274    *       <A HREF="#formula_tf"><font color="#993399">tf(t in d)</font></A> &nbsp;&middot;&nbsp;
  275    *       <A HREF="#formula_idf"><font color="#993399">idf(t)</font></A><sup>2</sup> &nbsp;&middot;&nbsp;
  276    *       <A HREF="#formula_termBoost"><font color="#CCCC00">t.getBoost()</font></A>&nbsp;&middot;&nbsp;
  277    *       <A HREF="#formula_norm"><font color="#3399FF">norm(t,d)</font></A>
  278    *       <big><big>)</big></big>
  279    *     </td>
  280    *   </tr>
  281    *   <tr valigh="top">
  282    *    <td></td>
  283    *    <td align="center"><small>t in q</small></td>
  284    *    <td></td>
  285    *   </tr>
  286    *   </table>
  287    *  </td></tr>
  288    *  </table>
  289    * </td></tr>
  290    * <tr><td>
  291    *  <center><font=-1><u>Lucene Practical Scoring Function</u></font></center>
  292    * </td></tr>
  293    * </table>
  294    *
  295    * <p> where
  296    * <ol>
  297    *    <li>
  298    *      <A NAME="formula_tf"></A>
  299    *      <b><i>tf(t in d)</i></b>
  300    *      correlates to the term's <i>frequency</i>,
  301    *      defined as the number of times term <i>t</i> appears in the currently scored document <i>d</i>.
  302    *      Documents that have more occurrences of a given term receive a higher score.
  303    *      Note that <i>tf(t in q)</i> is assumed to be <i>1</i> and therefore it does not appear in this equation,
  304    *      However if a query contains twice the same term, there will be
  305    *      two term-queries with that same term and hence the computation would still be correct (although
  306    *      not very efficient).
  307    *      The default computation for <i>tf(t in d)</i> in
  308    *      {@link org.apache.lucene.search.DefaultSimilarity#tf(float) DefaultSimilarity} is:
  309    *
  310    *      <br>&nbsp;<br>
  311    *      <table cellpadding="2" cellspacing="2" border="0" align="center">
  312    *        <tr>
  313    *          <td valign="middle" align="right" rowspan="1">
  314    *            {@link org.apache.lucene.search.DefaultSimilarity#tf(float) tf(t in d)} &nbsp; = &nbsp;
  315    *          </td>
  316    *          <td valign="top" align="center" rowspan="1">
  317    *               frequency<sup><big>&frac12;</big></sup>
  318    *          </td>
  319    *        </tr>
  320    *      </table>
  321    *      <br>&nbsp;<br>
  322    *    </li>
  323    *
  324    *    <li>
  325    *      <A NAME="formula_idf"></A>
  326    *      <b><i>idf(t)</i></b> stands for Inverse Document Frequency. This value
  327    *      correlates to the inverse of <i>docFreq</i>
  328    *      (the number of documents in which the term <i>t</i> appears).
  329    *      This means rarer terms give higher contribution to the total score.
  330    *      <i>idf(t)</i> appears for <i>t</i> in both the query and the document,
  331    *      hence it is squared in the equation.
  332    *      The default computation for <i>idf(t)</i> in
  333    *      {@link org.apache.lucene.search.DefaultSimilarity#idf(int, int) DefaultSimilarity} is:
  334    *
  335    *      <br>&nbsp;<br>
  336    *      <table cellpadding="2" cellspacing="2" border="0" align="center">
  337    *        <tr>
  338    *          <td valign="middle" align="right">
  339    *            {@link org.apache.lucene.search.DefaultSimilarity#idf(int, int) idf(t)}&nbsp; = &nbsp;
  340    *          </td>
  341    *          <td valign="middle" align="center">
  342    *            1 + log <big>(</big>
  343    *          </td>
  344    *          <td valign="middle" align="center">
  345    *            <table>
  346    *               <tr><td align="center"><small>numDocs</small></td></tr>
  347    *               <tr><td align="center">&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;</td></tr>
  348    *               <tr><td align="center"><small>docFreq+1</small></td></tr>
  349    *            </table>
  350    *          </td>
  351    *          <td valign="middle" align="center">
  352    *            <big>)</big>
  353    *          </td>
  354    *        </tr>
  355    *      </table>
  356    *      <br>&nbsp;<br>
  357    *    </li>
  358    *
  359    *    <li>
  360    *      <A NAME="formula_coord"></A>
  361    *      <b><i>coord(q,d)</i></b>
  362    *      is a score factor based on how many of the query terms are found in the specified document.
  363    *      Typically, a document that contains more of the query's terms will receive a higher score
  364    *      than another document with fewer query terms.
  365    *      This is a search time factor computed in
  366    *      {@link #coord(int, int) coord(q,d)}
  367    *      by the Similarity in effect at search time.
  368    *      <br>&nbsp;<br>
  369    *    </li>
  370    *
  371    *    <li><b>
  372    *      <A NAME="formula_queryNorm"></A>
  373    *      <i>queryNorm(q)</i>
  374    *      </b>
  375    *      is a normalizing factor used to make scores between queries comparable.
  376    *      This factor does not affect document ranking (since all ranked documents are multiplied by the same factor),
  377    *      but rather just attempts to make scores from different queries (or even different indexes) comparable.
  378    *      This is a search time factor computed by the Similarity in effect at search time.
  379    *
  380    *      The default computation in
  381    *      {@link org.apache.lucene.search.DefaultSimilarity#queryNorm(float) DefaultSimilarity}
  382    *      produces a <a href="http://en.wikipedia.org/wiki/Euclidean_norm#Euclidean_norm">Euclidean norm</a>:
  383    *      <br>&nbsp;<br>
  384    *      <table cellpadding="1" cellspacing="0" border="0" align="center">
  385    *        <tr>
  386    *          <td valign="middle" align="right" rowspan="1">
  387    *            queryNorm(q)  &nbsp; = &nbsp;
  388    *            {@link org.apache.lucene.search.DefaultSimilarity#queryNorm(float) queryNorm(sumOfSquaredWeights)}
  389    *            &nbsp; = &nbsp;
  390    *          </td>
  391    *          <td valign="middle" align="center" rowspan="1">
  392    *            <table>
  393    *               <tr><td align="center"><big>1</big></td></tr>
  394    *               <tr><td align="center"><big>
  395    *                  &ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;&ndash;
  396    *               </big></td></tr>
  397    *               <tr><td align="center">sumOfSquaredWeights<sup><big>&frac12;</big></sup></td></tr>
  398    *            </table>
  399    *          </td>
  400    *        </tr>
  401    *      </table>
  402    *      <br>&nbsp;<br>
  403    *
  404    *      The sum of squared weights (of the query terms) is
  405    *      computed by the query {@link org.apache.lucene.search.Weight} object.
  406    *      For example, a {@link org.apache.lucene.search.BooleanQuery boolean query}
  407    *      computes this value as:
  408    *
  409    *      <br>&nbsp;<br>
  410    *      <table cellpadding="1" cellspacing="0" border="0"n align="center">
  411    *        <tr>
  412    *          <td valign="middle" align="right" rowspan="1">
  413    *            {@link org.apache.lucene.search.Weight#sumOfSquaredWeights() sumOfSquaredWeights} &nbsp; = &nbsp;
  414    *            {@link org.apache.lucene.search.Query#getBoost() q.getBoost()} <sup><big>2</big></sup>
  415    *            &nbsp;&middot;&nbsp;
  416    *          </td>
  417    *          <td valign="bottom" align="center" rowspan="1">
  418    *            <big><big><big>&sum;</big></big></big>
  419    *          </td>
  420    *          <td valign="middle" align="right" rowspan="1">
  421    *            <big><big>(</big></big>
  422    *            <A HREF="#formula_idf">idf(t)</A> &nbsp;&middot;&nbsp;
  423    *            <A HREF="#formula_termBoost">t.getBoost()</A>
  424    *            <big><big>) <sup>2</sup> </big></big>
  425    *          </td>
  426    *        </tr>
  427    *        <tr valigh="top">
  428    *          <td></td>
  429    *          <td align="center"><small>t in q</small></td>
  430    *          <td></td>
  431    *        </tr>
  432    *      </table>
  433    *      <br>&nbsp;<br>
  434    *
  435    *    </li>
  436    *
  437    *    <li>
  438    *      <A NAME="formula_termBoost"></A>
  439    *      <b><i>t.getBoost()</i></b>
  440    *      is a search time boost of term <i>t</i> in the query <i>q</i> as
  441    *      specified in the query text
  442    *      (see <A HREF="../../../../../../queryparsersyntax.html#Boosting a Term">query syntax</A>),
  443    *      or as set by application calls to
  444    *      {@link org.apache.lucene.search.Query#setBoost(float) setBoost()}.
  445    *      Notice that there is really no direct API for accessing a boost of one term in a multi term query,
  446    *      but rather multi terms are represented in a query as multi
  447    *      {@link org.apache.lucene.search.TermQuery TermQuery} objects,
  448    *      and so the boost of a term in the query is accessible by calling the sub-query
  449    *      {@link org.apache.lucene.search.Query#getBoost() getBoost()}.
  450    *      <br>&nbsp;<br>
  451    *    </li>
  452    *
  453    *    <li>
  454    *      <A NAME="formula_norm"></A>
  455    *      <b><i>norm(t,d)</i></b> encapsulates a few (indexing time) boost and length factors:
  456    *
  457    *      <ul>
  458    *        <li><b>Document boost</b> - set by calling
  459    *        {@link org.apache.lucene.document.Document#setBoost(float) doc.setBoost()}
  460    *        before adding the document to the index.
  461    *        </li>
  462    *        <li><b>Field boost</b> - set by calling
  463    *        {@link org.apache.lucene.document.Fieldable#setBoost(float) field.setBoost()}
  464    *        before adding the field to a document.
  465    *        </li>
  466    *        <li>{@link #lengthNorm(String, int) <b>lengthNorm</b>(field)} - computed
  467    *        when the document is added to the index in accordance with the number of tokens
  468    *        of this field in the document, so that shorter fields contribute more to the score.
  469    *        LengthNorm is computed by the Similarity class in effect at indexing.
  470    *        </li>
  471    *      </ul>
  472    *
  473    *      <p>
  474    *      When a document is added to the index, all the above factors are multiplied.
  475    *      If the document has multiple fields with the same name, all their boosts are multiplied together:
  476    *
  477    *      <br>&nbsp;<br>
  478    *      <table cellpadding="1" cellspacing="0" border="0"n align="center">
  479    *        <tr>
  480    *          <td valign="middle" align="right" rowspan="1">
  481    *            norm(t,d) &nbsp; = &nbsp;
  482    *            {@link org.apache.lucene.document.Document#getBoost() doc.getBoost()}
  483    *            &nbsp;&middot;&nbsp;
  484    *            {@link #lengthNorm(String, int) lengthNorm(field)}
  485    *            &nbsp;&middot;&nbsp;
  486    *          </td>
  487    *          <td valign="bottom" align="center" rowspan="1">
  488    *            <big><big><big>&prod;</big></big></big>
  489    *          </td>
  490    *          <td valign="middle" align="right" rowspan="1">
  491    *            {@link org.apache.lucene.document.Fieldable#getBoost() f.getBoost}()
  492    *          </td>
  493    *        </tr>
  494    *        <tr valigh="top">
  495    *          <td></td>
  496    *          <td align="center"><small>field <i><b>f</b></i> in <i>d</i> named as <i><b>t</b></i></small></td>
  497    *          <td></td>
  498    *        </tr>
  499    *      </table>
  500    *      <br>&nbsp;<br>
  501    *      However the resulted <i>norm</i> value is {@link #encodeNorm(float) encoded} as a single byte
  502    *      before being stored.
  503    *      At search time, the norm byte value is read from the index
  504    *      {@link org.apache.lucene.store.Directory directory} and
  505    *      {@link #decodeNorm(byte) decoded} back to a float <i>norm</i> value.
  506    *      This encoding/decoding, while reducing index size, comes with the price of
  507    *      precision loss - it is not guaranteed that <i>decode(encode(x)) = x</i>.
  508    *      For instance, <i>decode(encode(0.89)) = 0.75</i>.
  509    *      <br>&nbsp;<br>
  510    *      Compression of norm values to a single byte saves memory at search time, 
  511    *      because once a field is referenced at search time, its norms - for 
  512    *      all documents - are maintained in memory.
  513    *      <br>&nbsp;<br>
  514    *      The rationale supporting such lossy compression of norm values is that
  515    *      given the difficulty (and inaccuracy) of users to express their true information
  516    *      need by a query, only big differences matter.
  517    *      <br>&nbsp;<br>
  518    *      Last, note that search time is too late to modify this <i>norm</i> part of scoring, e.g. by
  519    *      using a different {@link Similarity} for search.
  520    *      <br>&nbsp;<br>
  521    *    </li>
  522    * </ol>
  523    *
  524    * @see #setDefault(Similarity)
  525    * @see org.apache.lucene.index.IndexWriter#setSimilarity(Similarity)
  526    * @see Searcher#setSimilarity(Similarity)
  527    */
  528   public abstract class Similarity implements Serializable {
  529     
  530     /**
  531      * The Similarity implementation used by default.
  532      **/
  533     private static Similarity defaultImpl = new DefaultSimilarity();
  534     public static final int NO_DOC_ID_PROVIDED = -1;
  535   
  536     /** Set the default Similarity implementation used by indexing and search
  537      * code.
  538      *
  539      * @see Searcher#setSimilarity(Similarity)
  540      * @see org.apache.lucene.index.IndexWriter#setSimilarity(Similarity)
  541      */
  542     public static void setDefault(Similarity similarity) {
  543       Similarity.defaultImpl = similarity;
  544     }
  545   
  546     /** Return the default Similarity implementation used by indexing and search
  547      * code.
  548      *
  549      * <p>This is initially an instance of {@link DefaultSimilarity}.
  550      *
  551      * @see Searcher#setSimilarity(Similarity)
  552      * @see org.apache.lucene.index.IndexWriter#setSimilarity(Similarity)
  553      */
  554     public static Similarity getDefault() {
  555       return Similarity.defaultImpl;
  556     }
  557   
  558     /** Cache of decoded bytes. */
  559     private static final float[] NORM_TABLE = new float[256];
  560   
  561     static {
  562       for (int i = 0; i < 256; i++)
  563         NORM_TABLE[i] = SmallFloat.byte315ToFloat((byte)i);
  564     }
  565   
  566     /** Decodes a normalization factor stored in an index.
  567      * @see #encodeNorm(float)
  568      */
  569     public static float decodeNorm(byte b) {
  570       return NORM_TABLE[b & 0xFF];  // & 0xFF maps negative bytes to positive above 127
  571     }
  572   
  573     /** Returns a table for decoding normalization bytes.
  574      * @see #encodeNorm(float)
  575      */
  576     public static float[] getNormDecoder() {
  577       return NORM_TABLE;
  578     }
  579   
  580     /**
  581      * Compute the normalization value for a field, given the accumulated
  582      * state of term processing for this field (see {@link FieldInvertState}).
  583      * 
  584      * <p>Implementations should calculate a float value based on the field
  585      * state and then return that value.
  586      *
  587      * <p>For backward compatibility this method by default calls
  588      * {@link #lengthNorm(String, int)} passing
  589      * {@link FieldInvertState#getLength()} as the second argument, and
  590      * then multiplies this value by {@link FieldInvertState#getBoost()}.</p>
  591      * 
  592      * <p><b>WARNING</b>: This API is new and experimental and may
  593      * suddenly change.</p>
  594      * 
  595      * @param field field name
  596      * @param state current processing state for this field
  597      * @return the calculated float norm
  598      */
  599     public float computeNorm(String field, FieldInvertState state) {
  600       return (float) (state.getBoost() * lengthNorm(field, state.getLength()));
  601     }
  602     
  603     /** Computes the normalization value for a field given the total number of
  604      * terms contained in a field.  These values, together with field boosts, are
  605      * stored in an index and multipled into scores for hits on each field by the
  606      * search code.
  607      *
  608      * <p>Matches in longer fields are less precise, so implementations of this
  609      * method usually return smaller values when <code>numTokens</code> is large,
  610      * and larger values when <code>numTokens</code> is small.
  611      * 
  612      * <p>Note that the return values are computed under 
  613      * {@link org.apache.lucene.index.IndexWriter#addDocument(org.apache.lucene.document.Document)} 
  614      * and then stored using
  615      * {@link #encodeNorm(float)}.  
  616      * Thus they have limited precision, and documents
  617      * must be re-indexed if this method is altered.
  618      *
  619      * @param fieldName the name of the field
  620      * @param numTokens the total number of tokens contained in fields named
  621      * <i>fieldName</i> of <i>doc</i>.
  622      * @return a normalization factor for hits on this field of this document
  623      *
  624      * @see org.apache.lucene.document.Field#setBoost(float)
  625      */
  626     public abstract float lengthNorm(String fieldName, int numTokens);
  627   
  628     /** Computes the normalization value for a query given the sum of the squared
  629      * weights of each of the query terms.  This value is multiplied into the
  630      * weight of each query term. While the classic query normalization factor is
  631      * computed as 1/sqrt(sumOfSquaredWeights), other implementations might
  632      * completely ignore sumOfSquaredWeights (ie return 1).
  633      *
  634      * <p>This does not affect ranking, but the default implementation does make scores
  635      * from different queries more comparable than they would be by eliminating the
  636      * magnitude of the Query vector as a factor in the score.
  637      *
  638      * @param sumOfSquaredWeights the sum of the squares of query term weights
  639      * @return a normalization factor for query weights
  640      */
  641     public abstract float queryNorm(float sumOfSquaredWeights);
  642   
  643     /** Encodes a normalization factor for storage in an index.
  644      *
  645      * <p>The encoding uses a three-bit mantissa, a five-bit exponent, and
  646      * the zero-exponent point at 15, thus
  647      * representing values from around 7x10^9 to 2x10^-9 with about one
  648      * significant decimal digit of accuracy.  Zero is also represented.
  649      * Negative numbers are rounded up to zero.  Values too large to represent
  650      * are rounded down to the largest representable value.  Positive values too
  651      * small to represent are rounded up to the smallest positive representable
  652      * value.
  653      *
  654      * @see org.apache.lucene.document.Field#setBoost(float)
  655      * @see org.apache.lucene.util.SmallFloat
  656      */
  657     public static byte encodeNorm(float f) {
  658       return SmallFloat.floatToByte315(f);
  659     }
  660   
  661   
  662     /** Computes a score factor based on a term or phrase's frequency in a
  663      * document.  This value is multiplied by the {@link #idf(int, int)}
  664      * factor for each term in the query and these products are then summed to
  665      * form the initial score for a document.
  666      *
  667      * <p>Terms and phrases repeated in a document indicate the topic of the
  668      * document, so implementations of this method usually return larger values
  669      * when <code>freq</code> is large, and smaller values when <code>freq</code>
  670      * is small.
  671      *
  672      * <p>The default implementation calls {@link #tf(float)}.
  673      *
  674      * @param freq the frequency of a term within a document
  675      * @return a score factor based on a term's within-document frequency
  676      */
  677     public float tf(int freq) {
  678       return tf((float)freq);
  679     }
  680   
  681     /** Computes the amount of a sloppy phrase match, based on an edit distance.
  682      * This value is summed for each sloppy phrase match in a document to form
  683      * the frequency that is passed to {@link #tf(float)}.
  684      *
  685      * <p>A phrase match with a small edit distance to a document passage more
  686      * closely matches the document, so implementations of this method usually
  687      * return larger values when the edit distance is small and smaller values
  688      * when it is large.
  689      *
  690      * @see PhraseQuery#setSlop(int)
  691      * @param distance the edit distance of this sloppy phrase match
  692      * @return the frequency increment for this match
  693      */
  694     public abstract float sloppyFreq(int distance);
  695   
  696     /** Computes a score factor based on a term or phrase's frequency in a
  697      * document.  This value is multiplied by the {@link #idf(int, int)}
  698      * factor for each term in the query and these products are then summed to
  699      * form the initial score for a document.
  700      *
  701      * <p>Terms and phrases repeated in a document indicate the topic of the
  702      * document, so implementations of this method usually return larger values
  703      * when <code>freq</code> is large, and smaller values when <code>freq</code>
  704      * is small.
  705      *
  706      * @param freq the frequency of a term within a document
  707      * @return a score factor based on a term's within-document frequency
  708      */
  709     public abstract float tf(float freq);
  710   
  711     /**
  712      * Computes a score factor for a simple term and returns an explanation
  713      * for that score factor.
  714      * 
  715      * <p>
  716      * The default implementation uses:
  717      * 
  718      * <pre>
  719      * idf(searcher.docFreq(term), searcher.maxDoc());
  720      * </pre>
  721      * 
  722      * Note that {@link Searcher#maxDoc()} is used instead of
  723      * {@link org.apache.lucene.index.IndexReader#numDocs() IndexReader#numDocs()} because also 
  724      * {@link Searcher#docFreq(Term)} is used, and when the latter 
  725      * is inaccurate, so is {@link Searcher#maxDoc()}, and in the same direction.
  726      * In addition, {@link Searcher#maxDoc()} is more efficient to compute
  727      *   
  728      * @param term the term in question
  729      * @param searcher the document collection being searched
  730      * @return an IDFExplain object that includes both an idf score factor 
  731                and an explanation for the term.
  732      * @throws IOException
  733      */
  734     public IDFExplanation idfExplain(final Term term, final Searcher searcher) throws IOException {
  735       final int df = searcher.docFreq(term);
  736       final int max = searcher.maxDoc();
  737       final float idf = idf(df, max);
  738       return new IDFExplanation() {
  739           @Override
  740           public String explain() {
  741             return "idf(docFreq=" + df +
  742             ", maxDocs=" + max + ")";
  743           }
  744           @Override
  745           public float getIdf() {
  746             return idf;
  747           }};
  748      }
  749   
  750     /**
  751      * Computes a score factor for a phrase.
  752      * 
  753      * <p>
  754      * The default implementation sums the idf factor for
  755      * each term in the phrase.
  756      * 
  757      * @param terms the terms in the phrase
  758      * @param searcher the document collection being searched
  759      * @return an IDFExplain object that includes both an idf 
  760      *         score factor for the phrase and an explanation 
  761      *         for each term.
  762      * @throws IOException
  763      */
  764     public IDFExplanation idfExplain(Collection<Term> terms, Searcher searcher) throws IOException {
  765       final int max = searcher.maxDoc();
  766       float idf = 0.0f;
  767       final StringBuilder exp = new StringBuilder();
  768       for (final Term term : terms ) {
  769         final int df = searcher.docFreq(term);
  770         idf += idf(df, max);
  771         exp.append(" ");
  772         exp.append(term.text());
  773         exp.append("=");
  774         exp.append(df);
  775       }
  776       final float fIdf = idf;
  777       return new IDFExplanation() {
  778         @Override
  779         public float getIdf() {
  780           return fIdf;
  781         }
  782         @Override
  783         public String explain() {
  784           return exp.toString();
  785         }
  786       };
  787     }
  788   
  789     /** Computes a score factor based on a term's document frequency (the number
  790      * of documents which contain the term).  This value is multiplied by the
  791      * {@link #tf(int)} factor for each term in the query and these products are
  792      * then summed to form the initial score for a document.
  793      *
  794      * <p>Terms that occur in fewer documents are better indicators of topic, so
  795      * implementations of this method usually return larger values for rare terms,
  796      * and smaller values for common terms.
  797      *
  798      * @param docFreq the number of documents which contain the term
  799      * @param numDocs the total number of documents in the collection
  800      * @return a score factor based on the term's document frequency
  801      */
  802     public abstract float idf(int docFreq, int numDocs);
  803   
  804     /** Computes a score factor based on the fraction of all query terms that a
  805      * document contains.  This value is multiplied into scores.
  806      *
  807      * <p>The presence of a large portion of the query terms indicates a better
  808      * match with the query, so implementations of this method usually return
  809      * larger values when the ratio between these parameters is large and smaller
  810      * values when the ratio between them is small.
  811      *
  812      * @param overlap the number of query terms matched in the document
  813      * @param maxOverlap the total number of terms in the query
  814      * @return a score factor based on term overlap with the query
  815      */
  816     public abstract float coord(int overlap, int maxOverlap);
  817   
  818     /**
  819      * Calculate a scoring factor based on the data in the payload.  Overriding implementations
  820      * are responsible for interpreting what is in the payload.  Lucene makes no assumptions about
  821      * what is in the byte array.
  822      * <p>
  823      * The default implementation returns 1.
  824      *
  825      * @param docId The docId currently being scored.  If this value is {@link #NO_DOC_ID_PROVIDED}, then it should be assumed that the PayloadQuery implementation does not provide document information
  826      * @param fieldName The fieldName of the term this payload belongs to
  827      * @param start The start position of the payload
  828      * @param end The end position of the payload
  829      * @param payload The payload byte array to be scored
  830      * @param offset The offset into the payload array
  831      * @param length The length in the array
  832      * @return An implementation dependent float to be used as a scoring factor
  833      *
  834      */
  835     public float scorePayload(int docId, String fieldName, int start, int end, byte [] payload, int offset, int length)
  836     {
  837       return 1;
  838     }
  839   
  840   }

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