xref: /linux/lib/xz/xz_lzma2.h (revision d7f214aeacb984b9d42da0146e789f595eb09068)
1 /* SPDX-License-Identifier: 0BSD */
2 
3 /*
4  * LZMA2 definitions
5  *
6  * Authors: Lasse Collin <lasse.collin@tukaani.org>
7  *          Igor Pavlov <https://7-zip.org/>
8  */
9 
10 #ifndef XZ_LZMA2_H
11 #define XZ_LZMA2_H
12 
13 /* Range coder constants */
14 #define RC_SHIFT_BITS 8
15 #define RC_TOP_BITS 24
16 #define RC_TOP_VALUE (1 << RC_TOP_BITS)
17 #define RC_BIT_MODEL_TOTAL_BITS 11
18 #define RC_BIT_MODEL_TOTAL (1 << RC_BIT_MODEL_TOTAL_BITS)
19 #define RC_MOVE_BITS 5
20 
21 /*
22  * Maximum number of position states. A position state is the lowest pb
23  * number of bits of the current uncompressed offset. In some places there
24  * are different sets of probabilities for different position states.
25  */
26 #define POS_STATES_MAX (1 << 4)
27 
28 /*
29  * This enum is used to track which LZMA symbols have occurred most recently
30  * and in which order. This information is used to predict the next symbol.
31  *
32  * Symbols:
33  *  - Literal: One 8-bit byte
34  *  - Match: Repeat a chunk of data at some distance
35  *  - Long repeat: Multi-byte match at a recently seen distance
36  *  - Short repeat: One-byte repeat at a recently seen distance
37  *
38  * The symbol names are in from STATE_oldest_older_previous. REP means
39  * either short or long repeated match, and NONLIT means any non-literal.
40  */
41 enum lzma_state {
42 	STATE_LIT_LIT,
43 	STATE_MATCH_LIT_LIT,
44 	STATE_REP_LIT_LIT,
45 	STATE_SHORTREP_LIT_LIT,
46 	STATE_MATCH_LIT,
47 	STATE_REP_LIT,
48 	STATE_SHORTREP_LIT,
49 	STATE_LIT_MATCH,
50 	STATE_LIT_LONGREP,
51 	STATE_LIT_SHORTREP,
52 	STATE_NONLIT_MATCH,
53 	STATE_NONLIT_REP
54 };
55 
56 /* Total number of states */
57 #define STATES 12
58 
59 /* The lowest 7 states indicate that the previous state was a literal. */
60 #define LIT_STATES 7
61 
62 /* Indicate that the latest symbol was a literal. */
63 static inline void lzma_state_literal(enum lzma_state *state)
64 {
65 	if (*state <= STATE_SHORTREP_LIT_LIT)
66 		*state = STATE_LIT_LIT;
67 	else if (*state <= STATE_LIT_SHORTREP)
68 		*state -= 3;
69 	else
70 		*state -= 6;
71 }
72 
73 /* Indicate that the latest symbol was a match. */
74 static inline void lzma_state_match(enum lzma_state *state)
75 {
76 	*state = *state < LIT_STATES ? STATE_LIT_MATCH : STATE_NONLIT_MATCH;
77 }
78 
79 /* Indicate that the latest state was a long repeated match. */
80 static inline void lzma_state_long_rep(enum lzma_state *state)
81 {
82 	*state = *state < LIT_STATES ? STATE_LIT_LONGREP : STATE_NONLIT_REP;
83 }
84 
85 /* Indicate that the latest symbol was a short match. */
86 static inline void lzma_state_short_rep(enum lzma_state *state)
87 {
88 	*state = *state < LIT_STATES ? STATE_LIT_SHORTREP : STATE_NONLIT_REP;
89 }
90 
91 /* Test if the previous symbol was a literal. */
92 static inline bool lzma_state_is_literal(enum lzma_state state)
93 {
94 	return state < LIT_STATES;
95 }
96 
97 /* Each literal coder is divided in three sections:
98  *   - 0x001-0x0FF: Without match byte
99  *   - 0x101-0x1FF: With match byte; match bit is 0
100  *   - 0x201-0x2FF: With match byte; match bit is 1
101  *
102  * Match byte is used when the previous LZMA symbol was something else than
103  * a literal (that is, it was some kind of match).
104  */
105 #define LITERAL_CODER_SIZE 0x300
106 
107 /* Maximum number of literal coders */
108 #define LITERAL_CODERS_MAX (1 << 4)
109 
110 /* Minimum length of a match is two bytes. */
111 #define MATCH_LEN_MIN 2
112 
113 /* Match length is encoded with 4, 5, or 10 bits.
114  *
115  * Length   Bits
116  *  2-9      4 = Choice=0 + 3 bits
117  * 10-17     5 = Choice=1 + Choice2=0 + 3 bits
118  * 18-273   10 = Choice=1 + Choice2=1 + 8 bits
119  */
120 #define LEN_LOW_BITS 3
121 #define LEN_LOW_SYMBOLS (1 << LEN_LOW_BITS)
122 #define LEN_MID_BITS 3
123 #define LEN_MID_SYMBOLS (1 << LEN_MID_BITS)
124 #define LEN_HIGH_BITS 8
125 #define LEN_HIGH_SYMBOLS (1 << LEN_HIGH_BITS)
126 #define LEN_SYMBOLS (LEN_LOW_SYMBOLS + LEN_MID_SYMBOLS + LEN_HIGH_SYMBOLS)
127 
128 /*
129  * Maximum length of a match is 273 which is a result of the encoding
130  * described above.
131  */
132 #define MATCH_LEN_MAX (MATCH_LEN_MIN + LEN_SYMBOLS - 1)
133 
134 /*
135  * Different sets of probabilities are used for match distances that have
136  * very short match length: Lengths of 2, 3, and 4 bytes have a separate
137  * set of probabilities for each length. The matches with longer length
138  * use a shared set of probabilities.
139  */
140 #define DIST_STATES 4
141 
142 /*
143  * Get the index of the appropriate probability array for decoding
144  * the distance slot.
145  */
146 static inline uint32_t lzma_get_dist_state(uint32_t len)
147 {
148 	return len < DIST_STATES + MATCH_LEN_MIN
149 			? len - MATCH_LEN_MIN : DIST_STATES - 1;
150 }
151 
152 /*
153  * The highest two bits of a 32-bit match distance are encoded using six bits.
154  * This six-bit value is called a distance slot. This way encoding a 32-bit
155  * value takes 6-36 bits, larger values taking more bits.
156  */
157 #define DIST_SLOT_BITS 6
158 #define DIST_SLOTS (1 << DIST_SLOT_BITS)
159 
160 /* Match distances up to 127 are fully encoded using probabilities. Since
161  * the highest two bits (distance slot) are always encoded using six bits,
162  * the distances 0-3 don't need any additional bits to encode, since the
163  * distance slot itself is the same as the actual distance. DIST_MODEL_START
164  * indicates the first distance slot where at least one additional bit is
165  * needed.
166  */
167 #define DIST_MODEL_START 4
168 
169 /*
170  * Match distances greater than 127 are encoded in three pieces:
171  *   - distance slot: the highest two bits
172  *   - direct bits: 2-26 bits below the highest two bits
173  *   - alignment bits: four lowest bits
174  *
175  * Direct bits don't use any probabilities.
176  *
177  * The distance slot value of 14 is for distances 128-191.
178  */
179 #define DIST_MODEL_END 14
180 
181 /* Distance slots that indicate a distance <= 127. */
182 #define FULL_DISTANCES_BITS (DIST_MODEL_END / 2)
183 #define FULL_DISTANCES (1 << FULL_DISTANCES_BITS)
184 
185 /*
186  * For match distances greater than 127, only the highest two bits and the
187  * lowest four bits (alignment) is encoded using probabilities.
188  */
189 #define ALIGN_BITS 4
190 #define ALIGN_SIZE (1 << ALIGN_BITS)
191 #define ALIGN_MASK (ALIGN_SIZE - 1)
192 
193 /* Total number of all probability variables */
194 #define PROBS_TOTAL (1846 + LITERAL_CODERS_MAX * LITERAL_CODER_SIZE)
195 
196 /*
197  * LZMA remembers the four most recent match distances. Reusing these
198  * distances tends to take less space than re-encoding the actual
199  * distance value.
200  */
201 #define REPS 4
202 
203 #endif
204