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1/* -*-mode:java; c-basic-offset:2; -*- */
2/*
3Copyright (c) 2000,2001,2002,2003 ymnk, JCraft,Inc. All rights reserved.
4
5Redistribution and use in source and binary forms, with or without
6modification, are permitted provided that the following conditions are met:
7
8 1. Redistributions of source code must retain the above copyright notice,
9 this list of conditions and the following disclaimer.
10
11 2. Redistributions in binary form must reproduce the above copyright
12 notice, this list of conditions and the following disclaimer in
13 the documentation and/or other materials provided with the distribution.
14
15 3. The names of the authors may not be used to endorse or promote products
16 derived from this software without specific prior written permission.
17
18THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED WARRANTIES,
19INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
20FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JCRAFT,
21INC. OR ANY CONTRIBUTORS TO THIS SOFTWARE BE LIABLE FOR ANY DIRECT, INDIRECT,
22INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
23LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
24OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
25LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
26NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
27EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
28 */
29/*
30 * This program is based on zlib-1.1.3, so all credit should go authors
31 * Jean-loup Gailly(jloup@gzip.org) and Mark Adler(madler@alumni.caltech.edu)
32 * and contributors of zlib.
33 */
34
35package com.jcraft.jzlib;
36
37final class Tree{
38 static final private int MAX_BITS=15;
39 static final private int BL_CODES=19;
40 static final private int D_CODES=30;
41 static final private int LITERALS=256;
42 static final private int LENGTH_CODES=29;
43 static final private int L_CODES=(LITERALS+1+LENGTH_CODES);
44 static final private int HEAP_SIZE=(2*L_CODES+1);
45
46 // Bit length codes must not exceed MAX_BL_BITS bits
47 static final int MAX_BL_BITS=7;
48
49 // end of block literal code
50 static final int END_BLOCK=256;
51
52 // repeat previous bit length 3-6 times (2 bits of repeat count)
53 static final int REP_3_6=16;
54
55 // repeat a zero length 3-10 times (3 bits of repeat count)
56 static final int REPZ_3_10=17;
57
58 // repeat a zero length 11-138 times (7 bits of repeat count)
59 static final int REPZ_11_138=18;
60
61 // extra bits for each length code
62 static final int[] extra_lbits={
63 0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,0
64 };
65
66 // extra bits for each distance code
67 static final int[] extra_dbits={
68 0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13
69 };
70
71 // extra bits for each bit length code
72 static final int[] extra_blbits={
73 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,7
74 };
75
76 static final byte[] bl_order={
77 16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15};
78
79
80 // The lengths of the bit length codes are sent in order of decreasing
81 // probability, to avoid transmitting the lengths for unused bit
82 // length codes.
83
84 static final int Buf_size=8*2;
85
86 // see definition of array dist_code below
87 static final int DIST_CODE_LEN=512;
88
89 static final byte[] _dist_code = {
90 0, 1, 2, 3, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8,
91 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10,
92 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
93 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
94 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13,
95 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13,
96 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14,
97 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14,
98 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14,
99 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15,
100 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15,
101 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15,
102 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 16, 17,
103 18, 18, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22,
104 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
105 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
106 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
107 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27,
108 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
109 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
110 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
111 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
112 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
113 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
114 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
115 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29
116 };
117
118 static final byte[] _length_code={
119 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12,
120 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16,
121 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19,
122 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
123 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22,
124 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23,
125 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
126 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
127 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
128 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26,
129 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
130 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
131 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28
132 };
133
134 static final int[] base_length = {
135 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 20, 24, 28, 32, 40, 48, 56,
136 64, 80, 96, 112, 128, 160, 192, 224, 0
137 };
138
139 static final int[] base_dist = {
140 0, 1, 2, 3, 4, 6, 8, 12, 16, 24,
141 32, 48, 64, 96, 128, 192, 256, 384, 512, 768,
142 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288, 16384, 24576
143 };
144
145 // Mapping from a distance to a distance code. dist is the distance - 1 and
146 // must not have side effects. _dist_code[256] and _dist_code[257] are never
147 // used.
148 static int d_code(int dist){
149 return ((dist) < 256 ? _dist_code[dist] : _dist_code[256+((dist)>>>7)]);
150 }
151
152 short[] dyn_tree; // the dynamic tree
153 int max_code; // largest code with non zero frequency
154 StaticTree stat_desc; // the corresponding static tree
155
156 // Compute the optimal bit lengths for a tree and update the total bit length
157 // for the current block.
158 // IN assertion: the fields freq and dad are set, heap[heap_max] and
159 // above are the tree nodes sorted by increasing frequency.
160 // OUT assertions: the field len is set to the optimal bit length, the
161 // array bl_count contains the frequencies for each bit length.
162 // The length opt_len is updated; static_len is also updated if stree is
163 // not null.
164 void gen_bitlen(Deflate s){
165 short[] tree = dyn_tree;
166 short[] stree = stat_desc.static_tree;
167 int[] extra = stat_desc.extra_bits;
168 int base = stat_desc.extra_base;
169 int max_length = stat_desc.max_length;
170 int h; // heap index
171 int n, m; // iterate over the tree elements
172 int bits; // bit length
173 int xbits; // extra bits
174 short f; // frequency
175 int overflow = 0; // number of elements with bit length too large
176
177 for (bits = 0; bits <= MAX_BITS; bits++) s.bl_count[bits] = 0;
178
179 // In a first pass, compute the optimal bit lengths (which may
180 // overflow in the case of the bit length tree).
181 tree[s.heap[s.heap_max]*2+1] = 0; // root of the heap
182
183 for(h=s.heap_max+1; h<HEAP_SIZE; h++){
184 n = s.heap[h];
185 bits = tree[tree[n*2+1]*2+1] + 1;
186 if (bits > max_length){ bits = max_length; overflow++; }
187 tree[n*2+1] = (short)bits;
188 // We overwrite tree[n*2+1] which is no longer needed
189
190 if (n > max_code) continue; // not a leaf node
191
192 s.bl_count[bits]++;
193 xbits = 0;
194 if (n >= base) xbits = extra[n-base];
195 f = tree[n*2];
196 s.opt_len += f * (bits + xbits);
197 if (stree!=null) s.static_len += f * (stree[n*2+1] + xbits);
198 }
199 if (overflow == 0) return;
200
201 // This happens for example on obj2 and pic of the Calgary corpus
202 // Find the first bit length which could increase:
203 do {
204 bits = max_length-1;
205 while(s.bl_count[bits]==0) bits--;
206 s.bl_count[bits]--; // move one leaf down the tree
207 s.bl_count[bits+1]+=2; // move one overflow item as its brother
208 s.bl_count[max_length]--;
209 // The brother of the overflow item also moves one step up,
210 // but this does not affect bl_count[max_length]
211 overflow -= 2;
212 }
213 while (overflow > 0);
214
215 for (bits = max_length; bits != 0; bits--) {
216 n = s.bl_count[bits];
217 while (n != 0) {
218 m = s.heap[--h];
219 if (m > max_code) continue;
220 if (tree[m*2+1] != bits) {
221 s.opt_len += ((long)bits - (long)tree[m*2+1])*(long)tree[m*2];
222 tree[m*2+1] = (short)bits;
223 }
224 n--;
225 }
226 }
227 }
228
229 // Construct one Huffman tree and assigns the code bit strings and lengths.
230 // Update the total bit length for the current block.
231 // IN assertion: the field freq is set for all tree elements.
232 // OUT assertions: the fields len and code are set to the optimal bit length
233 // and corresponding code. The length opt_len is updated; static_len is
234 // also updated if stree is not null. The field max_code is set.
235 void build_tree(Deflate s){
236 short[] tree=dyn_tree;
237 short[] stree=stat_desc.static_tree;
238 int elems=stat_desc.elems;
239 int n, m; // iterate over heap elements
240 int max_code=-1; // largest code with non zero frequency
241 int node; // new node being created
242
243 // Construct the initial heap, with least frequent element in
244 // heap[1]. The sons of heap[n] are heap[2*n] and heap[2*n+1].
245 // heap[0] is not used.
246 s.heap_len = 0;
247 s.heap_max = HEAP_SIZE;
248
249 for(n=0; n<elems; n++) {
250 if(tree[n*2] != 0) {
251 s.heap[++s.heap_len] = max_code = n;
252 s.depth[n] = 0;
253 }
254 else{
255 tree[n*2+1] = 0;
256 }
257 }
258
259 // The pkzip format requires that at least one distance code exists,
260 // and that at least one bit should be sent even if there is only one
261 // possible code. So to avoid special checks later on we force at least
262 // two codes of non zero frequency.
263 while (s.heap_len < 2) {
264 node = s.heap[++s.heap_len] = (max_code < 2 ? ++max_code : 0);
265 tree[node*2] = 1;
266 s.depth[node] = 0;
267 s.opt_len--; if (stree!=null) s.static_len -= stree[node*2+1];
268 // node is 0 or 1 so it does not have extra bits
269 }
270 this.max_code = max_code;
271
272 // The elements heap[heap_len/2+1 .. heap_len] are leaves of the tree,
273 // establish sub-heaps of increasing lengths:
274
275 for(n=s.heap_len/2;n>=1; n--)
276 s.pqdownheap(tree, n);
277
278 // Construct the Huffman tree by repeatedly combining the least two
279 // frequent nodes.
280
281 node=elems; // next internal node of the tree
282 do{
283 // n = node of least frequency
284 n=s.heap[1];
285 s.heap[1]=s.heap[s.heap_len--];
286 s.pqdownheap(tree, 1);
287 m=s.heap[1]; // m = node of next least frequency
288
289 s.heap[--s.heap_max] = n; // keep the nodes sorted by frequency
290 s.heap[--s.heap_max] = m;
291
292 // Create a new node father of n and m
293 tree[node*2] = (short)(tree[n*2] + tree[m*2]);
294 s.depth[node] = (byte)(Math.max(s.depth[n],s.depth[m])+1);
295 tree[n*2+1] = tree[m*2+1] = (short)node;
296
297 // and insert the new node in the heap
298 s.heap[1] = node++;
299 s.pqdownheap(tree, 1);
300 }
301 while(s.heap_len>=2);
302
303 s.heap[--s.heap_max] = s.heap[1];
304
305 // At this point, the fields freq and dad are set. We can now
306 // generate the bit lengths.
307
308 gen_bitlen(s);
309
310 // The field len is now set, we can generate the bit codes
311 gen_codes(tree, max_code, s.bl_count);
312 }
313
314 // Generate the codes for a given tree and bit counts (which need not be
315 // optimal).
316 // IN assertion: the array bl_count contains the bit length statistics for
317 // the given tree and the field len is set for all tree elements.
318 // OUT assertion: the field code is set for all tree elements of non
319 // zero code length.
320 static void gen_codes(short[] tree, // the tree to decorate
321 int max_code, // largest code with non zero frequency
322 short[] bl_count // number of codes at each bit length
323 ){
324 short[] next_code=new short[MAX_BITS+1]; // next code value for each bit length
325 short code = 0; // running code value
326 int bits; // bit index
327 int n; // code index
328
329 // The distribution counts are first used to generate the code values
330 // without bit reversal.
331 for (bits = 1; bits <= MAX_BITS; bits++) {
332 next_code[bits] = code = (short)((code + bl_count[bits-1]) << 1);
333 }
334
335 // Check that the bit counts in bl_count are consistent. The last code
336 // must be all ones.
337 //Assert (code + bl_count[MAX_BITS]-1 == (1<<MAX_BITS)-1,
338 // "inconsistent bit counts");
339 //Tracev((stderr,"\ngen_codes: max_code %d ", max_code));
340
341 for (n = 0; n <= max_code; n++) {
342 int len = tree[n*2+1];
343 if (len == 0) continue;
344 // Now reverse the bits
345 tree[n*2] = (short)(bi_reverse(next_code[len]++, len));
346 }
347 }
348
349 // Reverse the first len bits of a code, using straightforward code (a faster
350 // method would use a table)
351 // IN assertion: 1 <= len <= 15
352 static int bi_reverse(int code, // the value to invert
353 int len // its bit length
354 ){
355 int res = 0;
356 do{
357 res|=code&1;
358 code>>>=1;
359 res<<=1;
360 }
361 while(--len>0);
362 return res>>>1;
363 }
364}
365
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