www.pudn.com > zlibsource.zip > trees.c


/* trees.c -- output deflated data using Huffman coding 
 * Copyright (C) 1995-2002 Jean-loup Gailly 
 * For conditions of distribution and use, see copyright notice in zlib.h  
 */ 
 
/* 
 *  ALGORITHM 
 * 
 *      The "deflation" process uses several Huffman trees. The more 
 *      common source values are represented by shorter bit sequences. 
 * 
 *      Each code tree is stored in a compressed form which is itself 
 * a Huffman encoding of the lengths of all the code strings (in 
 * ascending order by source values).  The actual code strings are 
 * reconstructed from the lengths in the inflate process, as described 
 * in the deflate specification. 
 * 
 *  REFERENCES 
 * 
 *      Deutsch, L.P.,"'Deflate' Compressed Data Format Specification". 
 *      Available in ftp.uu.net:/pub/archiving/zip/doc/deflate-1.1.doc 
 * 
 *      Storer, James A. 
 *          Data Compression:  Methods and Theory, pp. 49-50. 
 *          Computer Science Press, 1988.  ISBN 0-7167-8156-5. 
 * 
 *      Sedgewick, R. 
 *          Algorithms, p290. 
 *          Addison-Wesley, 1983. ISBN 0-201-06672-6. 
 */ 
 
/* @(#) $Id: trees.c,v 1.0 2002-05-07 00:56:37+02 jdehalle Exp $ */ 
 
/* #define GEN_TREES_H */ 
 
#include "deflate.h" 
 
#ifdef DEBUG 
#  include  
#endif 
 
/* =========================================================================== 
 * Constants 
 */ 
 
#define MAX_BL_BITS 7 
/* Bit length codes must not exceed MAX_BL_BITS bits */ 
 
#define END_BLOCK 256 
/* end of block literal code */ 
 
#define REP_3_6      16 
/* repeat previous bit length 3-6 times (2 bits of repeat count) */ 
 
#define REPZ_3_10    17 
/* repeat a zero length 3-10 times  (3 bits of repeat count) */ 
 
#define REPZ_11_138  18 
/* repeat a zero length 11-138 times  (7 bits of repeat count) */ 
 
local const int extra_lbits[LENGTH_CODES] /* extra bits for each length code */ 
   = {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}; 
 
local const int extra_dbits[D_CODES] /* extra bits for each distance code */ 
   = {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}; 
 
local const int extra_blbits[BL_CODES]/* extra bits for each bit length code */ 
   = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,7}; 
 
local const uch bl_order[BL_CODES] 
   = {16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15}; 
/* The lengths of the bit length codes are sent in order of decreasing 
 * probability, to avoid transmitting the lengths for unused bit length codes. 
 */ 
 
#define Buf_size (8 * 2*sizeof(char)) 
/* Number of bits used within bi_buf. (bi_buf might be implemented on 
 * more than 16 bits on some systems.) 
 */ 
 
/* =========================================================================== 
 * Local data. These are initialized only once. 
 */ 
 
#define DIST_CODE_LEN  512 /* see definition of array dist_code below */ 
 
#if defined(GEN_TREES_H) || !defined(STDC) 
/* non ANSI compilers may not accept trees.h */ 
 
local ct_data static_ltree[L_CODES+2]; 
/* The static literal tree. Since the bit lengths are imposed, there is no 
 * need for the L_CODES extra codes used during heap construction. However 
 * The codes 286 and 287 are needed to build a canonical tree (see _tr_init 
 * below). 
 */ 
 
local ct_data static_dtree[D_CODES]; 
/* The static distance tree. (Actually a trivial tree since all codes use 
 * 5 bits.) 
 */ 
 
uch _dist_code[DIST_CODE_LEN]; 
/* Distance codes. The first 256 values correspond to the distances 
 * 3 .. 258, the last 256 values correspond to the top 8 bits of 
 * the 15 bit distances. 
 */ 
 
uch _length_code[MAX_MATCH-MIN_MATCH+1]; 
/* length code for each normalized match length (0 == MIN_MATCH) */ 
 
local int base_length[LENGTH_CODES]; 
/* First normalized length for each code (0 = MIN_MATCH) */ 
 
local int base_dist[D_CODES]; 
/* First normalized distance for each code (0 = distance of 1) */ 
 
#else 
#  include "trees.h" 
#endif /* GEN_TREES_H */ 
 
struct static_tree_desc_s { 
    const ct_data *static_tree;  /* static tree or NULL */ 
    const intf *extra_bits;      /* extra bits for each code or NULL */ 
    int     extra_base;          /* base index for extra_bits */ 
    int     elems;               /* max number of elements in the tree */ 
    int     max_length;          /* max bit length for the codes */ 
}; 
 
local static_tree_desc  static_l_desc = 
{static_ltree, extra_lbits, LITERALS+1, L_CODES, MAX_BITS}; 
 
local static_tree_desc  static_d_desc = 
{static_dtree, extra_dbits, 0,          D_CODES, MAX_BITS}; 
 
local static_tree_desc  static_bl_desc = 
{(const ct_data *)0, extra_blbits, 0,   BL_CODES, MAX_BL_BITS}; 
 
/* =========================================================================== 
 * Local (static) routines in this file. 
 */ 
 
local void tr_static_init OF((void)); 
local void init_block     OF((deflate_state *s)); 
local void pqdownheap     OF((deflate_state *s, ct_data *tree, int k)); 
local void gen_bitlen     OF((deflate_state *s, tree_desc *desc)); 
local void gen_codes      OF((ct_data *tree, int max_code, ushf *bl_count)); 
local void build_tree     OF((deflate_state *s, tree_desc *desc)); 
local void scan_tree      OF((deflate_state *s, ct_data *tree, int max_code)); 
local void send_tree      OF((deflate_state *s, ct_data *tree, int max_code)); 
local int  build_bl_tree  OF((deflate_state *s)); 
local void send_all_trees OF((deflate_state *s, int lcodes, int dcodes, 
                              int blcodes)); 
local void compress_block OF((deflate_state *s, ct_data *ltree, 
                              ct_data *dtree)); 
local void set_data_type  OF((deflate_state *s)); 
local unsigned bi_reverse OF((unsigned value, int length)); 
local void bi_windup      OF((deflate_state *s)); 
local void bi_flush       OF((deflate_state *s)); 
local void copy_block     OF((deflate_state *s, charf *buf, unsigned len, 
                              int header)); 
 
#ifdef GEN_TREES_H 
local void gen_trees_header OF((void)); 
#endif 
 
#ifndef DEBUG 
#  define send_code(s, c, tree) send_bits(s, tree[c].Code, tree[c].Len) 
   /* Send a code of the given tree. c and tree must not have side effects */ 
 
#else /* DEBUG */ 
#  define send_code(s, c, tree) \ 
     { if (z_verbose>2) fprintf(stderr,"\ncd %3d ",(c)); \ 
       send_bits(s, tree[c].Code, tree[c].Len); } 
#endif 
 
/* =========================================================================== 
 * Output a short LSB first on the stream. 
 * IN assertion: there is enough room in pendingBuf. 
 */ 
#define put_short(s, w) { \ 
    put_byte(s, (uch)((w) & 0xff)); \ 
    put_byte(s, (uch)((ush)(w) >> 8)); \ 
} 
 
/* =========================================================================== 
 * Send a value on a given number of bits. 
 * IN assertion: length <= 16 and value fits in length bits. 
 */ 
#ifdef DEBUG 
local void send_bits      OF((deflate_state *s, int value, int length)); 
 
local void send_bits(s, value, length) 
    deflate_state *s; 
    int value;  /* value to send */ 
    int length; /* number of bits */ 
{ 
    Tracevv((stderr," l %2d v %4x ", length, value)); 
    Assert(length > 0 && length <= 15, "invalid length"); 
    s->bits_sent += (ulg)length; 
 
    /* If not enough room in bi_buf, use (valid) bits from bi_buf and 
     * (16 - bi_valid) bits from value, leaving (width - (16-bi_valid)) 
     * unused bits in value. 
     */ 
    if (s->bi_valid > (int)Buf_size - length) { 
        s->bi_buf |= (value << s->bi_valid); 
        put_short(s, s->bi_buf); 
        s->bi_buf = (ush)value >> (Buf_size - s->bi_valid); 
        s->bi_valid += length - Buf_size; 
    } else { 
        s->bi_buf |= value << s->bi_valid; 
        s->bi_valid += length; 
    } 
} 
#else /* !DEBUG */ 
 
#define send_bits(s, value, length) \ 
{ int len = length;\ 
  if (s->bi_valid > (int)Buf_size - len) {\ 
    int val = value;\ 
    s->bi_buf |= (val << s->bi_valid);\ 
    put_short(s, s->bi_buf);\ 
    s->bi_buf = (ush)val >> (Buf_size - s->bi_valid);\ 
    s->bi_valid += len - Buf_size;\ 
  } else {\ 
    s->bi_buf |= (value) << s->bi_valid;\ 
    s->bi_valid += len;\ 
  }\ 
} 
#endif /* DEBUG */ 
 
 
#define MAX(a,b) (a >= b ? a : b) 
/* the arguments must not have side effects */ 
 
/* =========================================================================== 
 * Initialize the various 'constant' tables. 
 */ 
local void tr_static_init() 
{ 
#if defined(GEN_TREES_H) || !defined(STDC) 
    static int static_init_done = 0; 
    int n;        /* iterates over tree elements */ 
    int bits;     /* bit counter */ 
    int length;   /* length value */ 
    int code;     /* code value */ 
    int dist;     /* distance index */ 
    ush bl_count[MAX_BITS+1]; 
    /* number of codes at each bit length for an optimal tree */ 
 
    if (static_init_done) return; 
 
    /* For some embedded targets, global variables are not initialized: */ 
    static_l_desc.static_tree = static_ltree; 
    static_l_desc.extra_bits = extra_lbits; 
    static_d_desc.static_tree = static_dtree; 
    static_d_desc.extra_bits = extra_dbits; 
    static_bl_desc.extra_bits = extra_blbits; 
 
    /* Initialize the mapping length (0..255) -> length code (0..28) */ 
    length = 0; 
    for (code = 0; code < LENGTH_CODES-1; code++) { 
        base_length[code] = length; 
        for (n = 0; n < (1< dist code (0..29) */ 
    dist = 0; 
    for (code = 0 ; code < 16; code++) { 
        base_dist[code] = dist; 
        for (n = 0; n < (1<>= 7; /* from now on, all distances are divided by 128 */ 
    for ( ; code < D_CODES; code++) { 
        base_dist[code] = dist << 7; 
        for (n = 0; n < (1<<(extra_dbits[code]-7)); n++) { 
            _dist_code[256 + dist++] = (uch)code; 
        } 
    } 
    Assert (dist == 256, "tr_static_init: 256+dist != 512"); 
 
    /* Construct the codes of the static literal tree */ 
    for (bits = 0; bits <= MAX_BITS; bits++) bl_count[bits] = 0; 
    n = 0; 
    while (n <= 143) static_ltree[n++].Len = 8, bl_count[8]++; 
    while (n <= 255) static_ltree[n++].Len = 9, bl_count[9]++; 
    while (n <= 279) static_ltree[n++].Len = 7, bl_count[7]++; 
    while (n <= 287) static_ltree[n++].Len = 8, bl_count[8]++; 
    /* Codes 286 and 287 do not exist, but we must include them in the 
     * tree construction to get a canonical Huffman tree (longest code 
     * all ones) 
     */ 
    gen_codes((ct_data *)static_ltree, L_CODES+1, bl_count); 
 
    /* The static distance tree is trivial: */ 
    for (n = 0; n < D_CODES; n++) { 
        static_dtree[n].Len = 5; 
        static_dtree[n].Code = bi_reverse((unsigned)n, 5); 
    } 
    static_init_done = 1; 
 
#  ifdef GEN_TREES_H 
    gen_trees_header(); 
#  endif 
#endif /* defined(GEN_TREES_H) || !defined(STDC) */ 
} 
 
/* =========================================================================== 
 * Genererate the file trees.h describing the static trees. 
 */ 
#ifdef GEN_TREES_H 
#  ifndef DEBUG 
#    include  
#  endif 
 
#  define SEPARATOR(i, last, width) \ 
      ((i) == (last)? "\n};\n\n" :    \ 
       ((i) % (width) == (width)-1 ? ",\n" : ", ")) 
 
void gen_trees_header() 
{ 
    FILE *header = fopen("trees.h", "w"); 
    int i; 
 
    Assert (header != NULL, "Can't open trees.h"); 
    fprintf(header, 
	    "/* header created automatically with -DGEN_TREES_H */\n\n"); 
 
    fprintf(header, "local const ct_data static_ltree[L_CODES+2] = {\n"); 
    for (i = 0; i < L_CODES+2; i++) { 
	fprintf(header, "{{%3u},{%3u}}%s", static_ltree[i].Code, 
		static_ltree[i].Len, SEPARATOR(i, L_CODES+1, 5)); 
    } 
 
    fprintf(header, "local const ct_data static_dtree[D_CODES] = {\n"); 
    for (i = 0; i < D_CODES; i++) { 
	fprintf(header, "{{%2u},{%2u}}%s", static_dtree[i].Code, 
		static_dtree[i].Len, SEPARATOR(i, D_CODES-1, 5)); 
    } 
 
    fprintf(header, "const uch _dist_code[DIST_CODE_LEN] = {\n"); 
    for (i = 0; i < DIST_CODE_LEN; i++) { 
	fprintf(header, "%2u%s", _dist_code[i], 
		SEPARATOR(i, DIST_CODE_LEN-1, 20)); 
    } 
 
    fprintf(header, "const uch _length_code[MAX_MATCH-MIN_MATCH+1]= {\n"); 
    for (i = 0; i < MAX_MATCH-MIN_MATCH+1; i++) { 
	fprintf(header, "%2u%s", _length_code[i], 
		SEPARATOR(i, MAX_MATCH-MIN_MATCH, 20)); 
    } 
 
    fprintf(header, "local const int base_length[LENGTH_CODES] = {\n"); 
    for (i = 0; i < LENGTH_CODES; i++) { 
	fprintf(header, "%1u%s", base_length[i], 
		SEPARATOR(i, LENGTH_CODES-1, 20)); 
    } 
 
    fprintf(header, "local const int base_dist[D_CODES] = {\n"); 
    for (i = 0; i < D_CODES; i++) { 
	fprintf(header, "%5u%s", base_dist[i], 
		SEPARATOR(i, D_CODES-1, 10)); 
    } 
 
    fclose(header); 
} 
#endif /* GEN_TREES_H */ 
 
/* =========================================================================== 
 * Initialize the tree data structures for a new zlib stream. 
 */ 
void _tr_init(s) 
    deflate_state *s; 
{ 
    tr_static_init(); 
 
    s->l_desc.dyn_tree = s->dyn_ltree; 
    s->l_desc.stat_desc = &static_l_desc; 
 
    s->d_desc.dyn_tree = s->dyn_dtree; 
    s->d_desc.stat_desc = &static_d_desc; 
 
    s->bl_desc.dyn_tree = s->bl_tree; 
    s->bl_desc.stat_desc = &static_bl_desc; 
 
    s->bi_buf = 0; 
    s->bi_valid = 0; 
    s->last_eob_len = 8; /* enough lookahead for inflate */ 
#ifdef DEBUG 
    s->compressed_len = 0L; 
    s->bits_sent = 0L; 
#endif 
 
    /* Initialize the first block of the first file: */ 
    init_block(s); 
} 
 
/* =========================================================================== 
 * Initialize a new block. 
 */ 
local void init_block(s) 
    deflate_state *s; 
{ 
    int n; /* iterates over tree elements */ 
 
    /* Initialize the trees. */ 
    for (n = 0; n < L_CODES;  n++) s->dyn_ltree[n].Freq = 0; 
    for (n = 0; n < D_CODES;  n++) s->dyn_dtree[n].Freq = 0; 
    for (n = 0; n < BL_CODES; n++) s->bl_tree[n].Freq = 0; 
 
    s->dyn_ltree[END_BLOCK].Freq = 1; 
    s->opt_len = s->static_len = 0L; 
    s->last_lit = s->matches = 0; 
} 
 
#define SMALLEST 1 
/* Index within the heap array of least frequent node in the Huffman tree */ 
 
 
/* =========================================================================== 
 * Remove the smallest element from the heap and recreate the heap with 
 * one less element. Updates heap and heap_len. 
 */ 
#define pqremove(s, tree, top) \ 
{\ 
    top = s->heap[SMALLEST]; \ 
    s->heap[SMALLEST] = s->heap[s->heap_len--]; \ 
    pqdownheap(s, tree, SMALLEST); \ 
} 
 
/* =========================================================================== 
 * Compares to subtrees, using the tree depth as tie breaker when 
 * the subtrees have equal frequency. This minimizes the worst case length. 
 */ 
#define smaller(tree, n, m, depth) \ 
   (tree[n].Freq < tree[m].Freq || \ 
   (tree[n].Freq == tree[m].Freq && depth[n] <= depth[m])) 
 
/* =========================================================================== 
 * Restore the heap property by moving down the tree starting at node k, 
 * exchanging a node with the smallest of its two sons if necessary, stopping 
 * when the heap property is re-established (each father smaller than its 
 * two sons). 
 */ 
local void pqdownheap(s, tree, k) 
    deflate_state *s; 
    ct_data *tree;  /* the tree to restore */ 
    int k;               /* node to move down */ 
{ 
    int v = s->heap[k]; 
    int j = k << 1;  /* left son of k */ 
    while (j <= s->heap_len) { 
        /* Set j to the smallest of the two sons: */ 
        if (j < s->heap_len && 
            smaller(tree, s->heap[j+1], s->heap[j], s->depth)) { 
            j++; 
        } 
        /* Exit if v is smaller than both sons */ 
        if (smaller(tree, v, s->heap[j], s->depth)) break; 
 
        /* Exchange v with the smallest son */ 
        s->heap[k] = s->heap[j];  k = j; 
 
        /* And continue down the tree, setting j to the left son of k */ 
        j <<= 1; 
    } 
    s->heap[k] = v; 
} 
 
/* =========================================================================== 
 * Compute the optimal bit lengths for a tree and update the total bit length 
 * for the current block. 
 * IN assertion: the fields freq and dad are set, heap[heap_max] and 
 *    above are the tree nodes sorted by increasing frequency. 
 * OUT assertions: the field len is set to the optimal bit length, the 
 *     array bl_count contains the frequencies for each bit length. 
 *     The length opt_len is updated; static_len is also updated if stree is 
 *     not null. 
 */ 
local void gen_bitlen(s, desc) 
    deflate_state *s; 
    tree_desc *desc;    /* the tree descriptor */ 
{ 
    ct_data *tree        = desc->dyn_tree; 
    int max_code         = desc->max_code; 
    const ct_data *stree = desc->stat_desc->static_tree; 
    const intf *extra    = desc->stat_desc->extra_bits; 
    int base             = desc->stat_desc->extra_base; 
    int max_length       = desc->stat_desc->max_length; 
    int h;              /* heap index */ 
    int n, m;           /* iterate over the tree elements */ 
    int bits;           /* bit length */ 
    int xbits;          /* extra bits */ 
    ush f;              /* frequency */ 
    int overflow = 0;   /* number of elements with bit length too large */ 
 
    for (bits = 0; bits <= MAX_BITS; bits++) s->bl_count[bits] = 0; 
 
    /* In a first pass, compute the optimal bit lengths (which may 
     * overflow in the case of the bit length tree). 
     */ 
    tree[s->heap[s->heap_max]].Len = 0; /* root of the heap */ 
 
    for (h = s->heap_max+1; h < HEAP_SIZE; h++) { 
        n = s->heap[h]; 
        bits = tree[tree[n].Dad].Len + 1; 
        if (bits > max_length) bits = max_length, overflow++; 
        tree[n].Len = (ush)bits; 
        /* We overwrite tree[n].Dad which is no longer needed */ 
 
        if (n > max_code) continue; /* not a leaf node */ 
 
        s->bl_count[bits]++; 
        xbits = 0; 
        if (n >= base) xbits = extra[n-base]; 
        f = tree[n].Freq; 
        s->opt_len += (ulg)f * (bits + xbits); 
        if (stree) s->static_len += (ulg)f * (stree[n].Len + xbits); 
    } 
    if (overflow == 0) return; 
 
    Trace((stderr,"\nbit length overflow\n")); 
    /* This happens for example on obj2 and pic of the Calgary corpus */ 
 
    /* Find the first bit length which could increase: */ 
    do { 
        bits = max_length-1; 
        while (s->bl_count[bits] == 0) bits--; 
        s->bl_count[bits]--;      /* move one leaf down the tree */ 
        s->bl_count[bits+1] += 2; /* move one overflow item as its brother */ 
        s->bl_count[max_length]--; 
        /* The brother of the overflow item also moves one step up, 
         * but this does not affect bl_count[max_length] 
         */ 
        overflow -= 2; 
    } while (overflow > 0); 
 
    /* Now recompute all bit lengths, scanning in increasing frequency. 
     * h is still equal to HEAP_SIZE. (It is simpler to reconstruct all 
     * lengths instead of fixing only the wrong ones. This idea is taken 
     * from 'ar' written by Haruhiko Okumura.) 
     */ 
    for (bits = max_length; bits != 0; bits--) { 
        n = s->bl_count[bits]; 
        while (n != 0) { 
            m = s->heap[--h]; 
            if (m > max_code) continue; 
            if (tree[m].Len != (unsigned) bits) { 
                Trace((stderr,"code %d bits %d->%d\n", m, tree[m].Len, bits)); 
                s->opt_len += ((long)bits - (long)tree[m].Len) 
                              *(long)tree[m].Freq; 
                tree[m].Len = (ush)bits; 
            } 
            n--; 
        } 
    } 
} 
 
/* =========================================================================== 
 * Generate the codes for a given tree and bit counts (which need not be 
 * optimal). 
 * IN assertion: the array bl_count contains the bit length statistics for 
 * the given tree and the field len is set for all tree elements. 
 * OUT assertion: the field code is set for all tree elements of non 
 *     zero code length. 
 */ 
local void gen_codes (tree, max_code, bl_count) 
    ct_data *tree;             /* the tree to decorate */ 
    int max_code;              /* largest code with non zero frequency */ 
    ushf *bl_count;            /* number of codes at each bit length */ 
{ 
    ush next_code[MAX_BITS+1]; /* next code value for each bit length */ 
    ush code = 0;              /* running code value */ 
    int bits;                  /* bit index */ 
    int n;                     /* code index */ 
 
    /* The distribution counts are first used to generate the code values 
     * without bit reversal. 
     */ 
    for (bits = 1; bits <= MAX_BITS; bits++) { 
        next_code[bits] = code = (code + bl_count[bits-1]) << 1; 
    } 
    /* Check that the bit counts in bl_count are consistent. The last code 
     * must be all ones. 
     */ 
    Assert (code + bl_count[MAX_BITS]-1 == (1<dyn_tree; 
    const ct_data *stree  = desc->stat_desc->static_tree; 
    int elems             = desc->stat_desc->elems; 
    int n, m;          /* iterate over heap elements */ 
    int max_code = -1; /* largest code with non zero frequency */ 
    int node;          /* new node being created */ 
 
    /* Construct the initial heap, with least frequent element in 
     * heap[SMALLEST]. The sons of heap[n] are heap[2*n] and heap[2*n+1]. 
     * heap[0] is not used. 
     */ 
    s->heap_len = 0, s->heap_max = HEAP_SIZE; 
 
    for (n = 0; n < elems; n++) { 
        if (tree[n].Freq != 0) { 
            s->heap[++(s->heap_len)] = max_code = n; 
            s->depth[n] = 0; 
        } else { 
            tree[n].Len = 0; 
        } 
    } 
 
    /* The pkzip format requires that at least one distance code exists, 
     * and that at least one bit should be sent even if there is only one 
     * possible code. So to avoid special checks later on we force at least 
     * two codes of non zero frequency. 
     */ 
    while (s->heap_len < 2) { 
        node = s->heap[++(s->heap_len)] = (max_code < 2 ? ++max_code : 0); 
        tree[node].Freq = 1; 
        s->depth[node] = 0; 
        s->opt_len--; if (stree) s->static_len -= stree[node].Len; 
        /* node is 0 or 1 so it does not have extra bits */ 
    } 
    desc->max_code = max_code; 
 
    /* The elements heap[heap_len/2+1 .. heap_len] are leaves of the tree, 
     * establish sub-heaps of increasing lengths: 
     */ 
    for (n = s->heap_len/2; n >= 1; n--) pqdownheap(s, tree, n); 
 
    /* Construct the Huffman tree by repeatedly combining the least two 
     * frequent nodes. 
     */ 
    node = elems;              /* next internal node of the tree */ 
    do { 
        pqremove(s, tree, n);  /* n = node of least frequency */ 
        m = s->heap[SMALLEST]; /* m = node of next least frequency */ 
 
        s->heap[--(s->heap_max)] = n; /* keep the nodes sorted by frequency */ 
        s->heap[--(s->heap_max)] = m; 
 
        /* Create a new node father of n and m */ 
        tree[node].Freq = tree[n].Freq + tree[m].Freq; 
        s->depth[node] = (uch) (MAX(s->depth[n], s->depth[m]) + 1); 
        tree[n].Dad = tree[m].Dad = (ush)node; 
#ifdef DUMP_BL_TREE 
        if (tree == s->bl_tree) { 
            fprintf(stderr,"\nnode %d(%d), sons %d(%d) %d(%d)", 
                    node, tree[node].Freq, n, tree[n].Freq, m, tree[m].Freq); 
        } 
#endif 
        /* and insert the new node in the heap */ 
        s->heap[SMALLEST] = node++; 
        pqdownheap(s, tree, SMALLEST); 
 
    } while (s->heap_len >= 2); 
 
    s->heap[--(s->heap_max)] = s->heap[SMALLEST]; 
 
    /* At this point, the fields freq and dad are set. We can now 
     * generate the bit lengths. 
     */ 
    gen_bitlen(s, (tree_desc *)desc); 
 
    /* The field len is now set, we can generate the bit codes */ 
    gen_codes ((ct_data *)tree, max_code, s->bl_count); 
} 
 
/* =========================================================================== 
 * Scan a literal or distance tree to determine the frequencies of the codes 
 * in the bit length tree. 
 */ 
local void scan_tree (s, tree, max_code) 
    deflate_state *s; 
    ct_data *tree;   /* the tree to be scanned */ 
    int max_code;    /* and its largest code of non zero frequency */ 
{ 
    int n;                     /* iterates over all tree elements */ 
    int prevlen = -1;          /* last emitted length */ 
    int curlen;                /* length of current code */ 
    int nextlen = tree[0].Len; /* length of next code */ 
    int count = 0;             /* repeat count of the current code */ 
    int max_count = 7;         /* max repeat count */ 
    int min_count = 4;         /* min repeat count */ 
 
    if (nextlen == 0) max_count = 138, min_count = 3; 
    tree[max_code+1].Len = (ush)0xffff; /* guard */ 
 
    for (n = 0; n <= max_code; n++) { 
        curlen = nextlen; nextlen = tree[n+1].Len; 
        if (++count < max_count && curlen == nextlen) { 
            continue; 
        } else if (count < min_count) { 
            s->bl_tree[curlen].Freq += count; 
        } else if (curlen != 0) { 
            if (curlen != prevlen) s->bl_tree[curlen].Freq++; 
            s->bl_tree[REP_3_6].Freq++; 
        } else if (count <= 10) { 
            s->bl_tree[REPZ_3_10].Freq++; 
        } else { 
            s->bl_tree[REPZ_11_138].Freq++; 
        } 
        count = 0; prevlen = curlen; 
        if (nextlen == 0) { 
            max_count = 138, min_count = 3; 
        } else if (curlen == nextlen) { 
            max_count = 6, min_count = 3; 
        } else { 
            max_count = 7, min_count = 4; 
        } 
    } 
} 
 
/* =========================================================================== 
 * Send a literal or distance tree in compressed form, using the codes in 
 * bl_tree. 
 */ 
local void send_tree (s, tree, max_code) 
    deflate_state *s; 
    ct_data *tree; /* the tree to be scanned */ 
    int max_code;       /* and its largest code of non zero frequency */ 
{ 
    int n;                     /* iterates over all tree elements */ 
    int prevlen = -1;          /* last emitted length */ 
    int curlen;                /* length of current code */ 
    int nextlen = tree[0].Len; /* length of next code */ 
    int count = 0;             /* repeat count of the current code */ 
    int max_count = 7;         /* max repeat count */ 
    int min_count = 4;         /* min repeat count */ 
 
    /* tree[max_code+1].Len = -1; */  /* guard already set */ 
    if (nextlen == 0) max_count = 138, min_count = 3; 
 
    for (n = 0; n <= max_code; n++) { 
        curlen = nextlen; nextlen = tree[n+1].Len; 
        if (++count < max_count && curlen == nextlen) { 
            continue; 
        } else if (count < min_count) { 
            do { send_code(s, curlen, s->bl_tree); } while (--count != 0); 
 
        } else if (curlen != 0) { 
            if (curlen != prevlen) { 
                send_code(s, curlen, s->bl_tree); count--; 
            } 
            Assert(count >= 3 && count <= 6, " 3_6?"); 
            send_code(s, REP_3_6, s->bl_tree); send_bits(s, count-3, 2); 
 
        } else if (count <= 10) { 
            send_code(s, REPZ_3_10, s->bl_tree); send_bits(s, count-3, 3); 
 
        } else { 
            send_code(s, REPZ_11_138, s->bl_tree); send_bits(s, count-11, 7); 
        } 
        count = 0; prevlen = curlen; 
        if (nextlen == 0) { 
            max_count = 138, min_count = 3; 
        } else if (curlen == nextlen) { 
            max_count = 6, min_count = 3; 
        } else { 
            max_count = 7, min_count = 4; 
        } 
    } 
} 
 
/* =========================================================================== 
 * Construct the Huffman tree for the bit lengths and return the index in 
 * bl_order of the last bit length code to send. 
 */ 
local int build_bl_tree(s) 
    deflate_state *s; 
{ 
    int max_blindex;  /* index of last bit length code of non zero freq */ 
 
    /* Determine the bit length frequencies for literal and distance trees */ 
    scan_tree(s, (ct_data *)s->dyn_ltree, s->l_desc.max_code); 
    scan_tree(s, (ct_data *)s->dyn_dtree, s->d_desc.max_code); 
 
    /* Build the bit length tree: */ 
    build_tree(s, (tree_desc *)(&(s->bl_desc))); 
    /* opt_len now includes the length of the tree representations, except 
     * the lengths of the bit lengths codes and the 5+5+4 bits for the counts. 
     */ 
 
    /* Determine the number of bit length codes to send. The pkzip format 
     * requires that at least 4 bit length codes be sent. (appnote.txt says 
     * 3 but the actual value used is 4.) 
     */ 
    for (max_blindex = BL_CODES-1; max_blindex >= 3; max_blindex--) { 
        if (s->bl_tree[bl_order[max_blindex]].Len != 0) break; 
    } 
    /* Update opt_len to include the bit length tree and counts */ 
    s->opt_len += 3*(max_blindex+1) + 5+5+4; 
    Tracev((stderr, "\ndyn trees: dyn %ld, stat %ld", 
            s->opt_len, s->static_len)); 
 
    return max_blindex; 
} 
 
/* =========================================================================== 
 * Send the header for a block using dynamic Huffman trees: the counts, the 
 * lengths of the bit length codes, the literal tree and the distance tree. 
 * IN assertion: lcodes >= 257, dcodes >= 1, blcodes >= 4. 
 */ 
local void send_all_trees(s, lcodes, dcodes, blcodes) 
    deflate_state *s; 
    int lcodes, dcodes, blcodes; /* number of codes for each tree */ 
{ 
    int rank;                    /* index in bl_order */ 
 
    Assert (lcodes >= 257 && dcodes >= 1 && blcodes >= 4, "not enough codes"); 
    Assert (lcodes <= L_CODES && dcodes <= D_CODES && blcodes <= BL_CODES, 
            "too many codes"); 
    Tracev((stderr, "\nbl counts: ")); 
    send_bits(s, lcodes-257, 5); /* not +255 as stated in appnote.txt */ 
    send_bits(s, dcodes-1,   5); 
    send_bits(s, blcodes-4,  4); /* not -3 as stated in appnote.txt */ 
    for (rank = 0; rank < blcodes; rank++) { 
        Tracev((stderr, "\nbl code %2d ", bl_order[rank])); 
        send_bits(s, s->bl_tree[bl_order[rank]].Len, 3); 
    } 
    Tracev((stderr, "\nbl tree: sent %ld", s->bits_sent)); 
 
    send_tree(s, (ct_data *)s->dyn_ltree, lcodes-1); /* literal tree */ 
    Tracev((stderr, "\nlit tree: sent %ld", s->bits_sent)); 
 
    send_tree(s, (ct_data *)s->dyn_dtree, dcodes-1); /* distance tree */ 
    Tracev((stderr, "\ndist tree: sent %ld", s->bits_sent)); 
} 
 
/* =========================================================================== 
 * Send a stored block 
 */ 
void _tr_stored_block(s, buf, stored_len, eof) 
    deflate_state *s; 
    charf *buf;       /* input block */ 
    ulg stored_len;   /* length of input block */ 
    int eof;          /* true if this is the last block for a file */ 
{ 
    send_bits(s, (STORED_BLOCK<<1)+eof, 3);  /* send block type */ 
#ifdef DEBUG 
    s->compressed_len = (s->compressed_len + 3 + 7) & (ulg)~7L; 
    s->compressed_len += (stored_len + 4) << 3; 
#endif 
    copy_block(s, buf, (unsigned)stored_len, 1); /* with header */ 
} 
 
/* =========================================================================== 
 * Send one empty static block to give enough lookahead for inflate. 
 * This takes 10 bits, of which 7 may remain in the bit buffer. 
 * The current inflate code requires 9 bits of lookahead. If the 
 * last two codes for the previous block (real code plus EOB) were coded 
 * on 5 bits or less, inflate may have only 5+3 bits of lookahead to decode 
 * the last real code. In this case we send two empty static blocks instead 
 * of one. (There are no problems if the previous block is stored or fixed.) 
 * To simplify the code, we assume the worst case of last real code encoded 
 * on one bit only. 
 */ 
void _tr_align(s) 
    deflate_state *s; 
{ 
    send_bits(s, STATIC_TREES<<1, 3); 
    send_code(s, END_BLOCK, static_ltree); 
#ifdef DEBUG 
    s->compressed_len += 10L; /* 3 for block type, 7 for EOB */ 
#endif 
    bi_flush(s); 
    /* Of the 10 bits for the empty block, we have already sent 
     * (10 - bi_valid) bits. The lookahead for the last real code (before 
     * the EOB of the previous block) was thus at least one plus the length 
     * of the EOB plus what we have just sent of the empty static block. 
     */ 
    if (1 + s->last_eob_len + 10 - s->bi_valid < 9) { 
        send_bits(s, STATIC_TREES<<1, 3); 
        send_code(s, END_BLOCK, static_ltree); 
#ifdef DEBUG 
        s->compressed_len += 10L; 
#endif 
        bi_flush(s); 
    } 
    s->last_eob_len = 7; 
} 
 
/* =========================================================================== 
 * Determine the best encoding for the current block: dynamic trees, static 
 * trees or store, and output the encoded block to the zip file. 
 */ 
void _tr_flush_block(s, buf, stored_len, eof) 
    deflate_state *s; 
    charf *buf;       /* input block, or NULL if too old */ 
    ulg stored_len;   /* length of input block */ 
    int eof;          /* true if this is the last block for a file */ 
{ 
    ulg opt_lenb, static_lenb; /* opt_len and static_len in bytes */ 
    int max_blindex = 0;  /* index of last bit length code of non zero freq */ 
 
    /* Build the Huffman trees unless a stored block is forced */ 
    if (s->level > 0) { 
 
	 /* Check if the file is ascii or binary */ 
	if (s->data_type == Z_UNKNOWN) set_data_type(s); 
 
	/* Construct the literal and distance trees */ 
	build_tree(s, (tree_desc *)(&(s->l_desc))); 
	Tracev((stderr, "\nlit data: dyn %ld, stat %ld", s->opt_len, 
		s->static_len)); 
 
	build_tree(s, (tree_desc *)(&(s->d_desc))); 
	Tracev((stderr, "\ndist data: dyn %ld, stat %ld", s->opt_len, 
		s->static_len)); 
	/* At this point, opt_len and static_len are the total bit lengths of 
	 * the compressed block data, excluding the tree representations. 
	 */ 
 
	/* Build the bit length tree for the above two trees, and get the index 
	 * in bl_order of the last bit length code to send. 
	 */ 
	max_blindex = build_bl_tree(s); 
 
	/* Determine the best encoding. Compute first the block length in bytes*/ 
	opt_lenb = (s->opt_len+3+7)>>3; 
	static_lenb = (s->static_len+3+7)>>3; 
 
	Tracev((stderr, "\nopt %lu(%lu) stat %lu(%lu) stored %lu lit %u ", 
		opt_lenb, s->opt_len, static_lenb, s->static_len, stored_len, 
		s->last_lit)); 
 
	if (static_lenb <= opt_lenb) opt_lenb = static_lenb; 
 
    } else { 
        Assert(buf != (char*)0, "lost buf"); 
	opt_lenb = static_lenb = stored_len + 5; /* force a stored block */ 
    } 
 
#ifdef FORCE_STORED 
    if (buf != (char*)0) { /* force stored block */ 
#else 
    if (stored_len+4 <= opt_lenb && buf != (char*)0) { 
                       /* 4: two words for the lengths */ 
#endif 
        /* The test buf != NULL is only necessary if LIT_BUFSIZE > WSIZE. 
         * Otherwise we can't have processed more than WSIZE input bytes since 
         * the last block flush, because compression would have been 
         * successful. If LIT_BUFSIZE <= WSIZE, it is never too late to 
         * transform a block into a stored block. 
         */ 
        _tr_stored_block(s, buf, stored_len, eof); 
 
#ifdef FORCE_STATIC 
    } else if (static_lenb >= 0) { /* force static trees */ 
#else 
    } else if (static_lenb == opt_lenb) { 
#endif 
        send_bits(s, (STATIC_TREES<<1)+eof, 3); 
        compress_block(s, (ct_data *)static_ltree, (ct_data *)static_dtree); 
#ifdef DEBUG 
        s->compressed_len += 3 + s->static_len; 
#endif 
    } else { 
        send_bits(s, (DYN_TREES<<1)+eof, 3); 
        send_all_trees(s, s->l_desc.max_code+1, s->d_desc.max_code+1, 
                       max_blindex+1); 
        compress_block(s, (ct_data *)s->dyn_ltree, (ct_data *)s->dyn_dtree); 
#ifdef DEBUG 
        s->compressed_len += 3 + s->opt_len; 
#endif 
    } 
    Assert (s->compressed_len == s->bits_sent, "bad compressed size"); 
    /* The above check is made mod 2^32, for files larger than 512 MB 
     * and uLong implemented on 32 bits. 
     */ 
    init_block(s); 
 
    if (eof) { 
        bi_windup(s); 
#ifdef DEBUG 
        s->compressed_len += 7;  /* align on byte boundary */ 
#endif 
    } 
    Tracev((stderr,"\ncomprlen %lu(%lu) ", s->compressed_len>>3, 
           s->compressed_len-7*eof)); 
} 
 
/* =========================================================================== 
 * Save the match info and tally the frequency counts. Return true if 
 * the current block must be flushed. 
 */ 
int _tr_tally (s, dist, lc) 
    deflate_state *s; 
    unsigned dist;  /* distance of matched string */ 
    unsigned lc;    /* match length-MIN_MATCH or unmatched char (if dist==0) */ 
{ 
    s->d_buf[s->last_lit] = (ush)dist; 
    s->l_buf[s->last_lit++] = (uch)lc; 
    if (dist == 0) { 
        /* lc is the unmatched char */ 
        s->dyn_ltree[lc].Freq++; 
    } else { 
        s->matches++; 
        /* Here, lc is the match length - MIN_MATCH */ 
        dist--;             /* dist = match distance - 1 */ 
        Assert((ush)dist < (ush)MAX_DIST(s) && 
               (ush)lc <= (ush)(MAX_MATCH-MIN_MATCH) && 
               (ush)d_code(dist) < (ush)D_CODES,  "_tr_tally: bad match"); 
 
        s->dyn_ltree[_length_code[lc]+LITERALS+1].Freq++; 
        s->dyn_dtree[d_code(dist)].Freq++; 
    } 
 
#ifdef TRUNCATE_BLOCK 
    /* Try to guess if it is profitable to stop the current block here */ 
    if ((s->last_lit & 0x1fff) == 0 && s->level > 2) { 
        /* Compute an upper bound for the compressed length */ 
        ulg out_length = (ulg)s->last_lit*8L; 
        ulg in_length = (ulg)((long)s->strstart - s->block_start); 
        int dcode; 
        for (dcode = 0; dcode < D_CODES; dcode++) { 
            out_length += (ulg)s->dyn_dtree[dcode].Freq * 
                (5L+extra_dbits[dcode]); 
        } 
        out_length >>= 3; 
        Tracev((stderr,"\nlast_lit %u, in %ld, out ~%ld(%ld%%) ", 
               s->last_lit, in_length, out_length, 
               100L - out_length*100L/in_length)); 
        if (s->matches < s->last_lit/2 && out_length < in_length/2) return 1; 
    } 
#endif 
    return (s->last_lit == s->lit_bufsize-1); 
    /* We avoid equality with lit_bufsize because of wraparound at 64K 
     * on 16 bit machines and because stored blocks are restricted to 
     * 64K-1 bytes. 
     */ 
} 
 
/* =========================================================================== 
 * Send the block data compressed using the given Huffman trees 
 */ 
local void compress_block(s, ltree, dtree) 
    deflate_state *s; 
    ct_data *ltree; /* literal tree */ 
    ct_data *dtree; /* distance tree */ 
{ 
    unsigned dist;      /* distance of matched string */ 
    int lc;             /* match length or unmatched char (if dist == 0) */ 
    unsigned lx = 0;    /* running index in l_buf */ 
    unsigned code;      /* the code to send */ 
    int extra;          /* number of extra bits to send */ 
 
    if (s->last_lit != 0) do { 
        dist = s->d_buf[lx]; 
        lc = s->l_buf[lx++]; 
        if (dist == 0) { 
            send_code(s, lc, ltree); /* send a literal byte */ 
            Tracecv(isgraph(lc), (stderr," '%c' ", lc)); 
        } else { 
            /* Here, lc is the match length - MIN_MATCH */ 
            code = _length_code[lc]; 
            send_code(s, code+LITERALS+1, ltree); /* send the length code */ 
            extra = extra_lbits[code]; 
            if (extra != 0) { 
                lc -= base_length[code]; 
                send_bits(s, lc, extra);       /* send the extra length bits */ 
            } 
            dist--; /* dist is now the match distance - 1 */ 
            code = d_code(dist); 
            Assert (code < D_CODES, "bad d_code"); 
 
            send_code(s, code, dtree);       /* send the distance code */ 
            extra = extra_dbits[code]; 
            if (extra != 0) { 
                dist -= base_dist[code]; 
                send_bits(s, dist, extra);   /* send the extra distance bits */ 
            } 
        } /* literal or match pair ? */ 
 
        /* Check that the overlay between pending_buf and d_buf+l_buf is ok: */ 
        Assert(s->pending < s->lit_bufsize + 2*lx, "pendingBuf overflow"); 
 
    } while (lx < s->last_lit); 
 
    send_code(s, END_BLOCK, ltree); 
    s->last_eob_len = ltree[END_BLOCK].Len; 
} 
 
/* =========================================================================== 
 * Set the data type to ASCII or BINARY, using a crude approximation: 
 * binary if more than 20% of the bytes are <= 6 or >= 128, ascii otherwise. 
 * IN assertion: the fields freq of dyn_ltree are set and the total of all 
 * frequencies does not exceed 64K (to fit in an int on 16 bit machines). 
 */ 
local void set_data_type(s) 
    deflate_state *s; 
{ 
    int n = 0; 
    unsigned ascii_freq = 0; 
    unsigned bin_freq = 0; 
    while (n < 7)        bin_freq += s->dyn_ltree[n++].Freq; 
    while (n < 128)    ascii_freq += s->dyn_ltree[n++].Freq; 
    while (n < LITERALS) bin_freq += s->dyn_ltree[n++].Freq; 
    s->data_type = (Byte)(bin_freq > (ascii_freq >> 2) ? Z_BINARY : Z_ASCII); 
} 
 
/* =========================================================================== 
 * Reverse the first len bits of a code, using straightforward code (a faster 
 * method would use a table) 
 * IN assertion: 1 <= len <= 15 
 */ 
local unsigned bi_reverse(code, len) 
    unsigned code; /* the value to invert */ 
    int len;       /* its bit length */ 
{ 
    register unsigned res = 0; 
    do { 
        res |= code & 1; 
        code >>= 1, res <<= 1; 
    } while (--len > 0); 
    return res >> 1; 
} 
 
/* =========================================================================== 
 * Flush the bit buffer, keeping at most 7 bits in it. 
 */ 
local void bi_flush(s) 
    deflate_state *s; 
{ 
    if (s->bi_valid == 16) { 
        put_short(s, s->bi_buf); 
        s->bi_buf = 0; 
        s->bi_valid = 0; 
    } else if (s->bi_valid >= 8) { 
        put_byte(s, (Byte)s->bi_buf); 
        s->bi_buf >>= 8; 
        s->bi_valid -= 8; 
    } 
} 
 
/* =========================================================================== 
 * Flush the bit buffer and align the output on a byte boundary 
 */ 
local void bi_windup(s) 
    deflate_state *s; 
{ 
    if (s->bi_valid > 8) { 
        put_short(s, s->bi_buf); 
    } else if (s->bi_valid > 0) { 
        put_byte(s, (Byte)s->bi_buf); 
    } 
    s->bi_buf = 0; 
    s->bi_valid = 0; 
#ifdef DEBUG 
    s->bits_sent = (s->bits_sent+7) & ~7; 
#endif 
} 
 
/* =========================================================================== 
 * Copy a stored block, storing first the length and its 
 * one's complement if requested. 
 */ 
local void copy_block(s, buf, len, header) 
    deflate_state *s; 
    charf    *buf;    /* the input data */ 
    unsigned len;     /* its length */ 
    int      header;  /* true if block header must be written */ 
{ 
    bi_windup(s);        /* align on byte boundary */ 
    s->last_eob_len = 8; /* enough lookahead for inflate */ 
 
    if (header) { 
        put_short(s, (ush)len);    
        put_short(s, (ush)~len); 
#ifdef DEBUG 
        s->bits_sent += 2*16; 
#endif 
    } 
#ifdef DEBUG 
    s->bits_sent += (ulg)len<<3; 
#endif 
    while (len--) { 
        put_byte(s, *buf++); 
    } 
}