content: package org.apache.lucene.util;
  
  /**
   * Licensed to the Apache Software Foundation (ASF) under one or more
   * contributor license agreements.  See the NOTICE file distributed with
   * this work for additional information regarding copyright ownership.
   * The ASF licenses this file to You under the Apache License, Version 2.0
   * (the "License"); you may not use this file except in compliance with
   * the License.  You may obtain a copy of the License at
   *
   *     http://www.apache.org/licenses/LICENSE-2.0
   *
   * Unless required by applicable law or agreed to in writing, software
   * distributed under the License is distributed on an "AS IS" BASIS,
   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
   * See the License for the specific language governing permissions and
   * limitations under the License.
   */
  
  import org.apache.lucene.analysis.NumericTokenStream; // for javadocs
  import org.apache.lucene.document.NumericField; // for javadocs
  import org.apache.lucene.search.NumericRangeQuery; // for javadocs
  import org.apache.lucene.search.NumericRangeFilter; // for javadocs
  
  /**
   * This is a helper class to generate prefix-encoded representations for numerical values
   * and supplies converters to represent float/double values as sortable integers/longs.
   *
   * <p>To quickly execute range queries in Apache Lucene, a range is divided recursively
   * into multiple intervals for searching: The center of the range is searched only with
   * the lowest possible precision in the trie, while the boundaries are matched
   * more exactly. This reduces the number of terms dramatically.
   *
   * <p>This class generates terms to achieve this: First the numerical integer values need to
   * be converted to strings. For that integer values (32 bit or 64 bit) are made unsigned
   * and the bits are converted to ASCII chars with each 7 bit. The resulting string is
   * sortable like the original integer value. Each value is also prefixed
   * (in the first char) by the <code>shift</code> value (number of bits removed) used
   * during encoding.
   *
   * <p>To also index floating point numbers, this class supplies two methods to convert them
   * to integer values by changing their bit layout: {@link #doubleToSortableLong},
   * {@link #floatToSortableInt}. You will have no precision loss by
   * converting floating point numbers to integers and back (only that the integer form
   * is not usable). Other data types like dates can easily converted to longs or ints (e.g.
   * date to long: {@link java.util.Date#getTime}).
   *
   * <p>For easy usage, the trie algorithm is implemented for indexing inside
   * {@link NumericTokenStream} that can index <code>int</code>, <code>long</code>,
   * <code>float</code>, and <code>double</code>. For querying,
   * {@link NumericRangeQuery} and {@link NumericRangeFilter} implement the query part
   * for the same data types.
   *
   * <p>This class can also be used, to generate lexicographically sortable (according
   * {@link String#compareTo(String)}) representations of numeric data types for other
   * usages (e.g. sorting).
   *
   * @lucene.internal
   *
   * @since 2.9
   */
  public final class NumericUtils {
  
    private NumericUtils() {} // no instance!
    
    /**
     * The default precision step used by {@link NumericField}, {@link NumericTokenStream},
     * {@link NumericRangeQuery}, and {@link NumericRangeFilter} as default
     */
    public static final int PRECISION_STEP_DEFAULT = 4;
    
    /**
     * Expert: Longs are stored at lower precision by shifting off lower bits. The shift count is
     * stored as <code>SHIFT_START_LONG+shift</code> in the first character
     */
    public static final char SHIFT_START_LONG = (char)0x20;
  
    /**
     * Expert: The maximum term length (used for <code>char[]</code> buffer size)
     * for encoding <code>long</code> values.
     * @see #longToPrefixCoded(long,int,char[])
     */
    public static final int BUF_SIZE_LONG = 63/7 + 2;
  
    /**
     * Expert: Integers are stored at lower precision by shifting off lower bits. The shift count is
     * stored as <code>SHIFT_START_INT+shift</code> in the first character
     */
    public static final char SHIFT_START_INT  = (char)0x60;
  
    /**
     * Expert: The maximum term length (used for <code>char[]</code> buffer size)
     * for encoding <code>int</code> values.
     * @see #intToPrefixCoded(int,int,char[])
     */
    public static final int BUF_SIZE_INT = 31/7 + 2;
  
    /**
     * Expert: Returns prefix coded bits after reducing the precision by <code>shift</code> bits.
     * This is method is used by {@link NumericTokenStream}.
     * @param val the numeric value
     * @param shift how many bits to strip from the right
     * @param buffer that will contain the encoded chars, must be at least of {@link #BUF_SIZE_LONG}
     * length
     * @return number of chars written to buffer
     */
    public static int longToPrefixCoded(final long val, final int shift, final char[] buffer) {
      if (shift>63 || shift<0)
        throw new IllegalArgumentException("Illegal shift value, must be 0..63");
      int nChars = (63-shift)/7 + 1, len = nChars+1;
      buffer[0] = (char)(SHIFT_START_LONG + shift);
      long sortableBits = val ^ 0x8000000000000000L;
      sortableBits >>>= shift;
      while (nChars>=1) {
        // Store 7 bits per character for good efficiency when UTF-8 encoding.
        // The whole number is right-justified so that lucene can prefix-encode
        // the terms more efficiently.
        buffer[nChars--] = (char)(sortableBits & 0x7f);
        sortableBits >>>= 7;
      }
      return len;
    }
  
    /*
     * Expert: Returns prefix coded bits after reducing the precision by <code>shift</code> bits.
     * This is method is used by {@link LongRangeBuilder}.
     * @param val the numeric value
     * @param shift how many bits to strip from the right
     */
    public static String longToPrefixCoded(final long val, final int shift) {
      final char[] buffer = new char[BUF_SIZE_LONG];
      final int len = longToPrefixCoded(val, shift, buffer);
      return new String(buffer, 0, len);
    }
  
    /*
     * This is a convenience method, that returns prefix coded bits of a long without
     * reducing the precision. It can be used to store the full precision value as a
     * stored field in index.
     * <p>To decode, use {@link #prefixCodedToLong}.
     */
    public static String longToPrefixCoded(final long val) {
      return longToPrefixCoded(val, 0);
    }
    
    /**
     * Expert: Returns prefix coded bits after reducing the precision by <code>shift</code> bits.
     * This is method is used by {@link NumericTokenStream}.
     * @param val the numeric value
     * @param shift how many bits to strip from the right
     * @param buffer that will contain the encoded chars, must be at least of {@link #BUF_SIZE_INT}
     * length
     * @return number of chars written to buffer
     */
    public static int intToPrefixCoded(final int val, final int shift, final char[] buffer) {
      if (shift>31 || shift<0)
        throw new IllegalArgumentException("Illegal shift value, must be 0..31");
      int nChars = (31-shift)/7 + 1, len = nChars+1;
      buffer[0] = (char)(SHIFT_START_INT + shift);
      int sortableBits = val ^ 0x80000000;
      sortableBits >>>= shift;
      while (nChars>=1) {
        // Store 7 bits per character for good efficiency when UTF-8 encoding.
        // The whole number is right-justified so that lucene can prefix-encode
        // the terms more efficiently.
        buffer[nChars--] = (char)(sortableBits & 0x7f);
        sortableBits >>>= 7;
      }
      return len;
    }
  
    /*
     * Expert: Returns prefix coded bits after reducing the precision by <code>shift</code> bits.
     * This is method is used by {@link IntRangeBuilder}.
     * @param val the numeric value
     * @param shift how many bits to strip from the right
     */
    public static String intToPrefixCoded(final int val, final int shift) {
      final char[] buffer = new char[BUF_SIZE_INT];
      final int len = intToPrefixCoded(val, shift, buffer);
      return new String(buffer, 0, len);
    }
  
    /*
     * This is a convenience method, that returns prefix coded bits of an int without
     * reducing the precision. It can be used to store the full precision value as a
     * stored field in index.
     * <p>To decode, use {@link #prefixCodedToInt}.
     */
    public static String intToPrefixCoded(final int val) {
      return intToPrefixCoded(val, 0);
    }
  
    /*
     * Returns a long from prefixCoded characters.
     * Rightmost bits will be zero for lower precision codes.
     * This method can be used to decode e.g. a stored field.
     * @throws NumberFormatException if the supplied string is
     * not correctly prefix encoded.
     * @see #longToPrefixCoded(long)
     */
    public static long prefixCodedToLong(final String prefixCoded) {
      final int shift = prefixCoded.charAt(0)-SHIFT_START_LONG;
      if (shift>63 || shift<0)
        throw new NumberFormatException("Invalid shift value in prefixCoded string (is encoded value really a LONG?)");
      long sortableBits = 0L;
      for (int i=1, len=prefixCoded.length(); i<len; i++) {
        sortableBits <<= 7;
        final char ch = prefixCoded.charAt(i);
        if (ch>0x7f) {
          throw new NumberFormatException(
            "Invalid prefixCoded numerical value representation (char "+
            Integer.toHexString(ch)+" at position "+i+" is invalid)"
          );
        }
        sortableBits |= ch;
      }
      return (sortableBits << shift) ^ 0x8000000000000000L;
    }
  
    /*
     * Returns an int from prefixCoded characters.
     * Rightmost bits will be zero for lower precision codes.
     * This method can be used to decode e.g. a stored field.
     * @throws NumberFormatException if the supplied string is
     * not correctly prefix encoded.
     * @see #intToPrefixCoded(int)
     */
    public static int prefixCodedToInt(final String prefixCoded) {
      final int shift = prefixCoded.charAt(0)-SHIFT_START_INT;
      if (shift>31 || shift<0)
        throw new NumberFormatException("Invalid shift value in prefixCoded string (is encoded value really an INT?)");
      int sortableBits = 0;
      for (int i=1, len=prefixCoded.length(); i<len; i++) {
        sortableBits <<= 7;
        final char ch = prefixCoded.charAt(i);
        if (ch>0x7f) {
          throw new NumberFormatException(
            "Invalid prefixCoded numerical value representation (char "+
            Integer.toHexString(ch)+" at position "+i+" is invalid)"
          );
        }
        sortableBits |= ch;
      }
      return (sortableBits << shift) ^ 0x80000000;
    }
  
    /**
     * Converts a <code>double</code> value to a sortable signed <code>long</code>.
     * The value is converted by getting their IEEE 754 floating-point &quot;double format&quot;
     * bit layout and then some bits are swapped, to be able to compare the result as long.
     * By this the precision is not reduced, but the value can easily used as a long.
     * The sort order (including {@link Double#NaN}) is defined by
     * {@link Double#compareTo}; {@code NaN} is greater than positive infinity.
     * @see #sortableLongToDouble
     */
    public static long doubleToSortableLong(double val) {
      long f = Double.doubleToLongBits(val);
      if (f<0) f ^= 0x7fffffffffffffffL;
      return f;
    }
  
    /*
     * Convenience method: this just returns:
     *   longToPrefixCoded(doubleToSortableLong(val))
     */
    public static String doubleToPrefixCoded(double val) {
      return longToPrefixCoded(doubleToSortableLong(val));
    }
  
    /**
     * Converts a sortable <code>long</code> back to a <code>double</code>.
     * @see #doubleToSortableLong
     */
    public static double sortableLongToDouble(long val) {
      if (val<0) val ^= 0x7fffffffffffffffL;
      return Double.longBitsToDouble(val);
    }
  
    /*
     * Convenience method: this just returns:
     *    sortableLongToDouble(prefixCodedToLong(val))
     */
    public static double prefixCodedToDouble(String val) {
      return sortableLongToDouble(prefixCodedToLong(val));
    }
  
    /**
     * Converts a <code>float</code> value to a sortable signed <code>int</code>.
     * The value is converted by getting their IEEE 754 floating-point &quot;float format&quot;
     * bit layout and then some bits are swapped, to be able to compare the result as int.
     * By this the precision is not reduced, but the value can easily used as an int.
     * The sort order (including {@link Float#NaN}) is defined by
     * {@link Float#compareTo}; {@code NaN} is greater than positive infinity.
     * @see #sortableIntToFloat
     */
    public static int floatToSortableInt(float val) {
      int f = Float.floatToIntBits(val);
      if (f<0) f ^= 0x7fffffff;
      return f;
    }
  
    /*
     * Convenience method: this just returns:
     *   intToPrefixCoded(floatToSortableInt(val))
     */
    public static String floatToPrefixCoded(float val) {
      return intToPrefixCoded(floatToSortableInt(val));
    }
  
    /**
     * Converts a sortable <code>int</code> back to a <code>float</code>.
     * @see #floatToSortableInt
     */
    public static float sortableIntToFloat(int val) {
      if (val<0) val ^= 0x7fffffff;
      return Float.intBitsToFloat(val);
    }
  
    /*
     * Convenience method: this just returns:
     *    sortableIntToFloat(prefixCodedToInt(val))
     */
    public static float prefixCodedToFloat(String val) {
      return sortableIntToFloat(prefixCodedToInt(val));
    }
  
    /**
     * Expert: Splits a long range recursively.
     * You may implement a builder that adds clauses to a
     * {@link org.apache.lucene.search.BooleanQuery} for each call to its
     * {@link LongRangeBuilder#addRange(String,String)}
     * method.
     * <p>This method is used by {@link NumericRangeQuery}.
     */
    public static void splitLongRange(final LongRangeBuilder builder,
      final int precisionStep,  final long minBound, final long maxBound
    ) {
      splitRange(builder, 64, precisionStep, minBound, maxBound);
    }
    
    /**
     * Expert: Splits an int range recursively.
     * You may implement a builder that adds clauses to a
     * {@link org.apache.lucene.search.BooleanQuery} for each call to its
     * {@link IntRangeBuilder#addRange(String,String)}
     * method.
     * <p>This method is used by {@link NumericRangeQuery}.
     */
    public static void splitIntRange(final IntRangeBuilder builder,
      final int precisionStep,  final int minBound, final int maxBound
    ) {
      splitRange(builder, 32, precisionStep, minBound, maxBound);
    }
    
    /** This helper does the splitting for both 32 and 64 bit. */
    private static void splitRange(
      final Object builder, final int valSize,
      final int precisionStep, long minBound, long maxBound
    ) {
      if (precisionStep < 1)
        throw new IllegalArgumentException("precisionStep must be >=1");
      if (minBound > maxBound) return;
      for (int shift=0; ; shift += precisionStep) {
        // calculate new bounds for inner precision
        final long diff = 1L << (shift+precisionStep),
          mask = ((1L<<precisionStep) - 1L) << shift;
        final boolean
          hasLower = (minBound & mask) != 0L,
          hasUpper = (maxBound & mask) != mask;
        final long
          nextMinBound = (hasLower ? (minBound + diff) : minBound) & ~mask,
          nextMaxBound = (hasUpper ? (maxBound - diff) : maxBound) & ~mask;
        final boolean
          lowerWrapped = nextMinBound < minBound,
          upperWrapped = nextMaxBound > maxBound;
        
        if (shift+precisionStep>=valSize || nextMinBound>nextMaxBound || lowerWrapped || upperWrapped) {
          // We are in the lowest precision or the next precision is not available.
          addRange(builder, valSize, minBound, maxBound, shift);
          // exit the split recursion loop
          break;
        }
        
        if (hasLower)
          addRange(builder, valSize, minBound, minBound | mask, shift);
        if (hasUpper)
          addRange(builder, valSize, maxBound & ~mask, maxBound, shift);
        
        // recurse to next precision
        minBound = nextMinBound;
        maxBound = nextMaxBound;
      }
    }
    
    /** Helper that delegates to correct range builder */
    private static void addRange(
      final Object builder, final int valSize,
      long minBound, long maxBound,
      final int shift
    ) {
      // for the max bound set all lower bits (that were shifted away):
      // this is important for testing or other usages of the splitted range
      // (e.g. to reconstruct the full range). The prefixEncoding will remove
      // the bits anyway, so they do not hurt!
      maxBound |= (1L << shift) - 1L;
      // delegate to correct range builder
      switch(valSize) {
        case 64:
          ((LongRangeBuilder)builder).addRange(minBound, maxBound, shift);
          break;
        case 32:
          ((IntRangeBuilder)builder).addRange((int)minBound, (int)maxBound, shift);
          break;
        default:
          // Should not happen!
          throw new IllegalArgumentException("valSize must be 32 or 64.");
      }
    }
  
    /**
     * Expert: Callback for {@link #splitLongRange}.
     * You need to overwrite only one of the methods.
     * <p><font color="red"><b>NOTE:</b> This is a very low-level interface,
     * the method signatures may change in later versions.</font>
     */
    public static abstract class LongRangeBuilder {
      
      /**
       * Overwrite this method, if you like to receive the already prefix encoded range bounds.
       * You can directly build classical (inclusive) range queries from them.
       */
      public void addRange(String minPrefixCoded, String maxPrefixCoded) {
        throw new UnsupportedOperationException();
      }
      
      /**
       * Overwrite this method, if you like to receive the raw long range bounds.
       * You can use this for e.g. debugging purposes (print out range bounds).
       */
      public void addRange(final long min, final long max, final int shift) {
        addRange(longToPrefixCoded(min, shift), longToPrefixCoded(max, shift));
      }
    
    }
    
    /**
     * Expert: Callback for {@link #splitIntRange}.
     * You need to overwrite only one of the methods.
     * <p><font color="red"><b>NOTE:</b> This is a very low-level interface,
     * the method signatures may change in later versions.</font>
     */
    public static abstract class IntRangeBuilder {
      
      /**
       * Overwrite this method, if you like to receive the already prefix encoded range bounds.
       * You can directly build classical range (inclusive) queries from them.
       */
      public void addRange(String minPrefixCoded, String maxPrefixCoded) {
        throw new UnsupportedOperationException();
      }
      
      /**
       * Overwrite this method, if you like to receive the raw int range bounds.
       * You can use this for e.g. debugging purposes (print out range bounds).
       */
      public void addRange(final int min, final int max, final int shift) {
        addRange(intToPrefixCoded(min, shift), intToPrefixCoded(max, shift));
      }
    
    }
    
  }
  