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com.ibm.icu.impl.coll

public Class BOCSU

extends Object
Class Inheritance
Imports
com.ibm.icu.util.ByteArrayWrapper

Binary Ordered Compression Scheme for Unicode

Users are strongly encouraged to read the ICU paper on BOCU before attempting to use this class.

BOCU is used to compress unicode text into a stream of unsigned bytes. For many kinds of text the compression compares favorably to UTF-8, and for some kinds of text (such as CJK) it does better. The resulting bytes will compare in the same order as the original code points. The byte stream does not contain the values 0, 1, or 2.

One example of a use of BOCU is in com.ibm.icu.text.Collator#getCollationKey(String) for a RuleBasedCollator object with collation strength IDENTICAL. The result CollationKey will consist of the collation order of the source string followed by the BOCU result of the source string.

Unlike a UTF encoding, BOCU-compressed text is not suitable for random access.

Method: Slope Detection
Remember the previous code point (initial 0). For each code point in the string, encode the difference with the previous one. Similar to a UTF, the length of the byte sequence is encoded in the lead bytes. Unlike a UTF, the trail byte values may overlap with lead/single byte values. The signedness of the difference must be encoded as the most significant part.

We encode differences with few bytes if their absolute values are small. For correct ordering, we must treat the entire value range -10ffff..+10ffff in ascending order, which forbids encoding the sign and the absolute value separately. Instead, we split the lead byte range in the middle and encode non-negative values going up and negative values going down.

For very small absolute values, the difference is added to a middle byte value for single-byte encoded differences. For somewhat larger absolute values, the difference is divided by the number of byte values available, the modulo is used for one trail byte, and the remainder is added to a lead byte avoiding the single-byte range. For large absolute values, the difference is similarly encoded in three bytes. (Syn Wee, I need examples here.)

BOCU does not use byte values 0, 1, or 2, but uses all other byte values for lead and single bytes, so that the middle range of single bytes is as large as possible.

Note that the lead byte ranges overlap some, but that the sequences as a whole are well ordered. I.e., even if the lead byte is the same for sequences of different lengths, the trail bytes establish correct order. It would be possible to encode slightly larger ranges for each length (>1) by subtracting the lower bound of the range. However, that would also slow down the calculation. (Syn Wee, need an example).

For the actual string encoding, an optimization moves the previous code point value to the middle of its Unicode script block to minimize the differences in same-script text runs. (Syn Wee, need an example.)

Author
Syn Wee Quek
Since
release 2.2, May 3rd 2002

Field Summary

Modifier and TypeField and Description
private static final int
private static final int
private static final int
private static final int
private static final int
private static final int
SLOPE_MIN_

Do not use byte values 0, 1, 2 because they are separators in sort keys.

private static final int
private static final int
private static final int
private static final int
SLOPE_REACH_POS_1_

The difference value range for single-byters.

private static final int
SLOPE_REACH_POS_2_

The difference value range for double-byters.

private static final int
SLOPE_REACH_POS_3_

The difference value range for 3-byters.

private static final int
SLOPE_SINGLE_

Number of lead bytes: 1 middle byte for 0 2*80=160 single bytes for !=0 2*42=84 for double-byte values 2*3=6 for 3-byte values 2*1=2 for 4-byte values The sum must be <=SLOPE_TAIL_COUNT.

private static final int
private static final int
private static final int
SLOPE_START_POS_2_

The lead byte start values.

private static final int
private static final int

Constructor Summary

AccessConstructor and Description
private
BOCSU()

Constructor private to prevent initialization

Method Summary

Modifier and TypeMethod and Description
private static void
ensureAppendCapacity(ByteArrayWrapper sink, int minCapacity, int desiredCapacity)

private static final long

Returns:

(result of division) << 32 | modulo
getNegDivMod
(int
which operations are to be performed on
number
,
int
the factor to use for division
factor
)

Integer division and modulo with negative numerators yields negative modulo results and quotients that are one more than what we need here.

private static final int

Returns:

end offset where the appending stops
writeDiff
(int diff, byte[]
byte buffer to append to
buffer
,
int
to the byte buffer to start appending
offset
)

Encode one difference value -0x10ffff..+0x10ffff in 1..4 bytes, preserving lexical order

public static int
writeIdenticalLevelRun(int prev, CharSequence s, int i, int length, ByteArrayWrapper sink)

Encode the code points of a string as a sequence of byte-encoded differences (slope detection), preserving lexical order.

Inherited from java.lang.Object:
cloneequalsfinalizegetClasshashCodenotifynotifyAlltoStringwaitwaitwait

Field Detail

SLOPE_LEAD_2_back to summary
private static final int SLOPE_LEAD_2_
SLOPE_LEAD_3_back to summary
private static final int SLOPE_LEAD_3_
SLOPE_MAX_back to summary
private static final int SLOPE_MAX_
SLOPE_MAX_BYTES_back to summary
private static final int SLOPE_MAX_BYTES_
SLOPE_MIDDLE_back to summary
private static final int SLOPE_MIDDLE_
SLOPE_MIN_back to summary
private static final int SLOPE_MIN_

Do not use byte values 0, 1, 2 because they are separators in sort keys.

SLOPE_REACH_NEG_1_back to summary
private static final int SLOPE_REACH_NEG_1_
SLOPE_REACH_NEG_2_back to summary
private static final int SLOPE_REACH_NEG_2_
SLOPE_REACH_NEG_3_back to summary
private static final int SLOPE_REACH_NEG_3_
SLOPE_REACH_POS_1_back to summary
private static final int SLOPE_REACH_POS_1_

The difference value range for single-byters.

SLOPE_REACH_POS_2_back to summary
private static final int SLOPE_REACH_POS_2_

The difference value range for double-byters.

SLOPE_REACH_POS_3_back to summary
private static final int SLOPE_REACH_POS_3_

The difference value range for 3-byters.

SLOPE_SINGLE_back to summary
private static final int SLOPE_SINGLE_

Number of lead bytes: 1 middle byte for 0 2*80=160 single bytes for !=0 2*42=84 for double-byte values 2*3=6 for 3-byte values 2*1=2 for 4-byte values The sum must be <=SLOPE_TAIL_COUNT. Why these numbers? - There should be >=128 single-byte values to cover 128-blocks with small scripts. - There should be >=20902 single/double-byte values to cover Unihan. - It helps CJK Extension B some if there are 3-byte values that cover the distance between them and Unihan. This also helps to jump among distant places in the BMP. - Four-byte values are necessary to cover the rest of Unicode. Symmetrical lead byte counts are for convenience. With an equal distribution of even and odd differences there is also no advantage to asymmetrical lead byte counts.

SLOPE_START_NEG_2_back to summary
private static final int SLOPE_START_NEG_2_
SLOPE_START_NEG_3_back to summary
private static final int SLOPE_START_NEG_3_
SLOPE_START_POS_2_back to summary
private static final int SLOPE_START_POS_2_

The lead byte start values.

SLOPE_START_POS_3_back to summary
private static final int SLOPE_START_POS_3_
SLOPE_TAIL_COUNT_back to summary
private static final int SLOPE_TAIL_COUNT_

Constructor Detail

BOCSUback to summary
private BOCSU()

Constructor private to prevent initialization

Method Detail

ensureAppendCapacityback to summary
private static void ensureAppendCapacity(ByteArrayWrapper sink, int minCapacity, int desiredCapacity)
getNegDivModback to summary
private static final long getNegDivMod(int number, int factor)

Integer division and modulo with negative numerators yields negative modulo results and quotients that are one more than what we need here.

Parameters
number:int

which operations are to be performed on

factor:int

the factor to use for division

Returns:long

(result of division) << 32 | modulo

writeDiffback to summary
private static final int writeDiff(int diff, byte[] buffer, int offset)

Encode one difference value -0x10ffff..+0x10ffff in 1..4 bytes, preserving lexical order

Parameters
buffer:byte[]

byte buffer to append to

offset:int

to the byte buffer to start appending

Returns:int

end offset where the appending stops

writeIdenticalLevelRunback to summary
public static int writeIdenticalLevelRun(int prev, CharSequence s, int i, int length, ByteArrayWrapper sink)

Encode the code points of a string as a sequence of byte-encoded differences (slope detection), preserving lexical order.

Optimize the difference-taking for runs of Unicode text within small scripts:

Most small scripts are allocated within aligned 128-blocks of Unicode code points. Lexical order is preserved if "prev" is always moved into the middle of such a block.

Additionally, "prev" is moved from anywhere in the Unihan area into the middle of that area. Note that the identical-level run in a sort key is generated from NFD text - there are never Hangul characters included.