// © 2016 and later: Unicode, Inc. and others. // License & terms of use: http://www.unicode.org/copyright.html /* ******************************************************************************* * Copyright (C) 2001-2014, International Business Machines * Corporation and others. All Rights Reserved. ******************************************************************************* * file name: bocsu.h * encoding: UTF-8 * tab size: 8 (not used) * indentation:4 * * Author: Markus W. Scherer * * Modification history: * 05/18/2001 weiv Made into separate module */ #ifndef BOCSU_H #define BOCSU_H #include "unicode/utypes.h" #if !UCONFIG_NO_COLLATION U_NAMESPACE_BEGIN class ByteSink; U_NAMESPACE_END /* * "BOCSU" * Binary Ordered Compression Scheme for Unicode * * Specific application: * * Encode a Unicode string for the identical level of a sort key. * Restrictions: * - byte stream (unsigned 8-bit bytes) * - lexical order of the identical-level run must be * the same as code point order for the string * - avoid byte values 0, 1, 2 * * Method: Slope Detection * Remember the previous code point (initial 0). * For each cp in the string, encode the difference to the previous one. * * With a compact encoding of differences, this yields good results for * small scripts and UTF-like results otherwise. * * Encoding of differences: * - Similar to a UTF, encoding the length of the byte sequence in the lead bytes. * - Does not need to be friendly for decoding or random access * (trail byte values may overlap with lead/single byte values). * - The signedness 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. * * This encoding does not use byte values 0, 1, 2, but uses all other byte values * for lead/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. * * 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. */ /* Do not use byte values 0, 1, 2 because they are separators in sort keys. */ #define SLOPE_MIN … #define SLOPE_MAX … #define SLOPE_MIDDLE … #define SLOPE_TAIL_COUNT … #define SLOPE_MAX_BYTES … /* * 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. */ #define SLOPE_SINGLE … #define SLOPE_LEAD_2 … #define SLOPE_LEAD_3 … #define SLOPE_LEAD_4 … /* The difference value range for single-byters. */ #define SLOPE_REACH_POS_1 … #define SLOPE_REACH_NEG_1 … /* The difference value range for double-byters. */ #define SLOPE_REACH_POS_2 … #define SLOPE_REACH_NEG_2 … /* The difference value range for 3-byters. */ #define SLOPE_REACH_POS_3 … #define SLOPE_REACH_NEG_3 … /* The lead byte start values. */ #define SLOPE_START_POS_2 … #define SLOPE_START_POS_3 … #define SLOPE_START_NEG_2 … #define SLOPE_START_NEG_3 … /* * Integer division and modulo with negative numerators * yields negative modulo results and quotients that are one more than * what we need here. */ #define NEGDIVMOD(n, d, m) … U_CFUNC UChar32 u_writeIdenticalLevelRun(UChar32 prev, const UChar *s, int32_t length, icu::ByteSink &sink); #endif /* #if !UCONFIG_NO_COLLATION */ #endif