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


/* trees.c -- output deflated data using Huffman coding 
 * Copyright (C) 1992-1993 Jean-loup Gailly 
 * This is free software; you can redistribute it and/or modify it under the 
 * terms of the GNU General Public License, see the file COPYING. 
 */ 
 
/* 
 *  PURPOSE 
 * 
 *      Encode various sets of source values using variable-length 
 *      binary code trees. 
 * 
 *  DISCUSSION 
 * 
 *      The PKZIP "deflation" process uses several Huffman trees. The more 
 *      common source values are represented by shorter bit sequences. 
 * 
 *      Each code tree is stored in the ZIP file 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 UNZIP process, as described in the "application note" 
 *      (APPNOTE.TXT) distributed as part of PKWARE's PKZIP program. 
 * 
 *  REFERENCES 
 * 
 *      Lynch, Thomas J. 
 *          Data Compression:  Techniques and Applications, pp. 53-55. 
 *          Lifetime Learning Publications, 1985.  ISBN 0-534-03418-7. 
 * 
 *      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. 
 * 
 *  INTERFACE 
 * 
 *      void ct_init (ush *attr, int *methodp) 
 *          Allocate the match buffer, initialize the various tables and save 
 *          the location of the internal file attribute (ascii/binary) and 
 *          method (DEFLATE/STORE) 
 * 
 *      void ct_tally (int dist, int lc); 
 *          Save the match info and tally the frequency counts. 
 * 
 *      long flush_block (char *buf, ulg stored_len, int eof) 
 *          Determine the best encoding for the current block: dynamic trees, 
 *          static trees or store, and output the encoded block to the zip 
 *          file. Returns the total compressed length for the file so far. 
 * 
 */ 
 
#include  
 
#include "tailor.h" 
#include "gzip.h" 
 
#ifdef RCSID 
static char rcsid[] = "$Id: trees.c,v 0.12 1993/06/10 13:27:54 jloup Exp $"; 
#endif 
 
/* =========================================================================== 
 * Constants 
 */ 
 
#define MAX_BITS 15 
/* All codes must not exceed MAX_BITS bits */ 
 
#define MAX_BL_BITS 7 
/* Bit length codes must not exceed MAX_BL_BITS bits */ 
 
#define LENGTH_CODES 29 
/* number of length codes, not counting the special END_BLOCK code */ 
 
#define LITERALS  256 
/* number of literal bytes 0..255 */ 
 
#define END_BLOCK 256 
/* end of block literal code */ 
 
#define L_CODES (LITERALS+1+LENGTH_CODES) 
/* number of Literal or Length codes, including the END_BLOCK code */ 
 
#define D_CODES   30 
/* number of distance codes */ 
 
#define BL_CODES  19 
/* number of codes used to transfer the bit lengths */ 
 
 
local int near 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 int near 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 int near 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}; 
 
#define STORED_BLOCK 0 
#define STATIC_TREES 1 
#define DYN_TREES    2 
/* The three kinds of block type */ 
 
#ifndef LIT_BUFSIZE 
#  ifdef SMALL_MEM 
#    define LIT_BUFSIZE  0x2000 
#  else 
#  ifdef MEDIUM_MEM 
#    define LIT_BUFSIZE  0x4000 
#  else 
#    define LIT_BUFSIZE  0x8000 
#  endif 
#  endif 
#endif 
#ifndef DIST_BUFSIZE 
#  define DIST_BUFSIZE  LIT_BUFSIZE 
#endif 
/* Sizes of match buffers for literals/lengths and distances.  There are 
 * 4 reasons for limiting LIT_BUFSIZE to 64K: 
 *   - frequencies can be kept in 16 bit counters 
 *   - if compression is not successful for the first block, all input data is 
 *     still in the window so we can still emit a stored block even when input 
 *     comes from standard input.  (This can also be done for all blocks if 
 *     LIT_BUFSIZE is not greater than 32K.) 
 *   - if compression is not successful for a file smaller than 64K, we can 
 *     even emit a stored file instead of a stored block (saving 5 bytes). 
 *   - creating new Huffman trees less frequently may not provide fast 
 *     adaptation to changes in the input data statistics. (Take for 
 *     example a binary file with poorly compressible code followed by 
 *     a highly compressible string table.) Smaller buffer sizes give 
 *     fast adaptation but have of course the overhead of transmitting trees 
 *     more frequently. 
 *   - I can't count above 4 
 * The current code is general and allows DIST_BUFSIZE < LIT_BUFSIZE (to save 
 * memory at the expense of compression). Some optimizations would be possible 
 * if we rely on DIST_BUFSIZE == LIT_BUFSIZE. 
 */ 
#if LIT_BUFSIZE > INBUFSIZ 
    error cannot overlay l_buf and inbuf 
#endif 
 
#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 data 
 */ 
 
/* Data structure describing a single value and its code string. */ 
typedef struct ct_data { 
    union { 
        ush  freq;       /* frequency count */ 
        ush  code;       /* bit string */ 
    } fc; 
    union { 
        ush  dad;        /* father node in Huffman tree */ 
        ush  len;        /* length of bit string */ 
    } dl; 
} ct_data; 
 
#define Freq fc.freq 
#define Code fc.code 
#define Dad  dl.dad 
#define Len  dl.len 
 
#define HEAP_SIZE (2*L_CODES+1) 
/* maximum heap size */ 
 
local ct_data near dyn_ltree[HEAP_SIZE];   /* literal and length tree */ 
local ct_data near dyn_dtree[2*D_CODES+1]; /* distance tree */ 
 
local ct_data near 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 ct_init 
 * below). 
 */ 
 
local ct_data near static_dtree[D_CODES]; 
/* The static distance tree. (Actually a trivial tree since all codes use 
 * 5 bits.) 
 */ 
 
local ct_data near bl_tree[2*BL_CODES+1]; 
/* Huffman tree for the bit lengths */ 
 
typedef struct tree_desc { 
    ct_data near *dyn_tree;      /* the dynamic tree */ 
    ct_data near *static_tree;   /* corresponding static tree or NULL */ 
    int     near *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 */ 
    int     max_code;            /* largest code with non zero frequency */ 
} tree_desc; 
 
local tree_desc near l_desc = 
{dyn_ltree, static_ltree, extra_lbits, LITERALS+1, L_CODES, MAX_BITS, 0}; 
 
local tree_desc near d_desc = 
{dyn_dtree, static_dtree, extra_dbits, 0,          D_CODES, MAX_BITS, 0}; 
 
local tree_desc near bl_desc = 
{bl_tree, (ct_data near *)0, extra_blbits, 0,      BL_CODES, MAX_BL_BITS, 0}; 
 
 
local ush near bl_count[MAX_BITS+1]; 
/* number of codes at each bit length for an optimal tree */ 
 
local uch near 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. 
 */ 
 
local int near heap[2*L_CODES+1]; /* heap used to build the Huffman trees */ 
local int heap_len;               /* number of elements in the heap */ 
local int heap_max;               /* element of largest frequency */ 
/* The sons of heap[n] are heap[2*n] and heap[2*n+1]. heap[0] is not used. 
 * The same heap array is used to build all trees. 
 */ 
 
local uch near depth[2*L_CODES+1]; 
/* Depth of each subtree used as tie breaker for trees of equal frequency */ 
 
local uch length_code[MAX_MATCH-MIN_MATCH+1]; 
/* length code for each normalized match length (0 == MIN_MATCH) */ 
 
local uch dist_code[512]; 
/* 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. 
 */ 
 
local int near base_length[LENGTH_CODES]; 
/* First normalized length for each code (0 = MIN_MATCH) */ 
 
local int near base_dist[D_CODES]; 
/* First normalized distance for each code (0 = distance of 1) */ 
 
#define l_buf inbuf 
/* DECLARE(uch, l_buf, LIT_BUFSIZE);  buffer for literals or lengths */ 
 
/* DECLARE(ush, d_buf, DIST_BUFSIZE); buffer for distances */ 
 
local uch near flag_buf[(LIT_BUFSIZE/8)]; 
/* flag_buf is a bit array distinguishing literals from lengths in 
 * l_buf, thus indicating the presence or absence of a distance. 
 */ 
 
local unsigned last_lit;    /* running index in l_buf */ 
local unsigned last_dist;   /* running index in d_buf */ 
local unsigned last_flags;  /* running index in flag_buf */ 
local uch flags;            /* current flags not yet saved in flag_buf */ 
local uch flag_bit;         /* current bit used in flags */ 
/* bits are filled in flags starting at bit 0 (least significant). 
 * Note: these flags are overkill in the current code since we don't 
 * take advantage of DIST_BUFSIZE == LIT_BUFSIZE. 
 */ 
 
local ulg opt_len;        /* bit length of current block with optimal trees */ 
local ulg static_len;     /* bit length of current block with static trees */ 
 
local ulg compressed_len; /* total bit length of compressed file */ 
 
local ulg input_len;      /* total byte length of input file */ 
/* input_len is for debugging only since we can get it by other means. */ 
 
ush *file_type;        /* pointer to UNKNOWN, BINARY or ASCII */ 
int *file_method;      /* pointer to DEFLATE or STORE */ 
 
#ifdef DEBUG 
extern ulg bits_sent;  /* bit length of the compressed data */ 
extern long isize;     /* byte length of input file */ 
#endif 
 
extern long block_start;       /* window offset of current block */ 
extern unsigned near strstart; /* window offset of current string */ 
 
/* =========================================================================== 
 * Local (static) routines in this file. 
 */ 
 
local void init_block     OF((void)); 
local void pqdownheap     OF((ct_data near *tree, int k)); 
local void gen_bitlen     OF((tree_desc near *desc)); 
local void gen_codes      OF((ct_data near *tree, int max_code)); 
local void build_tree     OF((tree_desc near *desc)); 
local void scan_tree      OF((ct_data near *tree, int max_code)); 
local void send_tree      OF((ct_data near *tree, int max_code)); 
local int  build_bl_tree  OF((void)); 
local void send_all_trees OF((int lcodes, int dcodes, int blcodes)); 
local void compress_block OF((ct_data near *ltree, ct_data near *dtree)); 
local void set_file_type  OF((void)); 
 
 
#ifndef DEBUG 
#  define send_code(c, tree) send_bits(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(c, tree) \ 
     { if (verbose>1) fprintf(stderr,"\ncd %3d ",(c)); \ 
       send_bits(tree[c].Code, tree[c].Len); } 
#endif 
 
#define d_code(dist) \ 
   ((dist) < 256 ? dist_code[dist] : dist_code[256+((dist)>>7)]) 
/* Mapping from a distance to a distance code. dist is the distance - 1 and 
 * must not have side effects. dist_code[256] and dist_code[257] are never 
 * used. 
 */ 
 
#define MAX(a,b) (a >= b ? a : b) 
/* the arguments must not have side effects */ 
 
/* =========================================================================== 
 * Allocate the match buffer, initialize the various tables and save the 
 * location of the internal file attribute (ascii/binary) and method 
 * (DEFLATE/STORE). 
 */ 
void ct_init(attr, methodp) 
    ush  *attr;   /* pointer to internal file attribute */ 
    int  *methodp; /* pointer to compression method */ 
{ 
    int n;        /* iterates over tree elements */ 
    int bits;     /* bit counter */ 
    int length;   /* length value */ 
    int code;     /* code value */ 
    int dist;     /* distance index */ 
 
    file_type = attr; 
    file_method = methodp; 
    compressed_len = input_len = 0L; 
         
    if (static_dtree[0].Len != 0) return; /* ct_init already called */ 
 
    /* 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, "ct_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 near *)static_ltree, L_CODES+1); 
 
    /* The static distance tree is trivial: */ 
    for (n = 0; n < D_CODES; n++) { 
        static_dtree[n].Len = 5; 
        static_dtree[n].Code = bi_reverse(n, 5); 
    } 
 
    /* Initialize the first block of the first file: */ 
    init_block(); 
} 
 
/* =========================================================================== 
 * Initialize a new block. 
 */ 
local void init_block() 
{ 
    int n; /* iterates over tree elements */ 
 
    /* Initialize the trees. */ 
    for (n = 0; n < L_CODES;  n++) dyn_ltree[n].Freq = 0; 
    for (n = 0; n < D_CODES;  n++) dyn_dtree[n].Freq = 0; 
    for (n = 0; n < BL_CODES; n++) bl_tree[n].Freq = 0; 
 
    dyn_ltree[END_BLOCK].Freq = 1; 
    opt_len = static_len = 0L; 
    last_lit = last_dist = last_flags = 0; 
    flags = 0; flag_bit = 1; 
} 
 
#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(tree, top) \ 
{\ 
    top = heap[SMALLEST]; \ 
    heap[SMALLEST] = heap[heap_len--]; \ 
    pqdownheap(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) \ 
   (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(tree, k) 
    ct_data near *tree;  /* the tree to restore */ 
    int k;               /* node to move down */ 
{ 
    int v = heap[k]; 
    int j = k << 1;  /* left son of k */ 
    while (j <= heap_len) { 
        /* Set j to the smallest of the two sons: */ 
        if (j < heap_len && smaller(tree, heap[j+1], heap[j])) j++; 
 
        /* Exit if v is smaller than both sons */ 
        if (smaller(tree, v, heap[j])) break; 
 
        /* Exchange v with the smallest son */ 
        heap[k] = heap[j];  k = j; 
 
        /* And continue down the tree, setting j to the left son of k */ 
        j <<= 1; 
    } 
    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(desc) 
    tree_desc near *desc; /* the tree descriptor */ 
{ 
    ct_data near *tree  = desc->dyn_tree; 
    int near *extra     = desc->extra_bits; 
    int base            = desc->extra_base; 
    int max_code        = desc->max_code; 
    int max_length      = desc->max_length; 
    ct_data near *stree = desc->static_tree; 
    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++) 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[heap[heap_max]].Len = 0; /* root of the heap */ 
 
    for (h = heap_max+1; h < HEAP_SIZE; h++) { 
        n = 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 */ 
 
        bl_count[bits]++; 
        xbits = 0; 
        if (n >= base) xbits = extra[n-base]; 
        f = tree[n].Freq; 
        opt_len += (ulg)f * (bits + xbits); 
        if (stree) 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 (bl_count[bits] == 0) bits--; 
        bl_count[bits]--;      /* move one leaf down the tree */ 
        bl_count[bits+1] += 2; /* move one overflow item as its brother */ 
        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 = bl_count[bits]; 
        while (n != 0) { 
            m = 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)); 
                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) 
    ct_data near *tree;        /* the tree to decorate */ 
    int max_code;              /* largest code with non zero frequency */ 
{ 
    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; 
    ct_data near *stree  = desc->static_tree; 
    int elems            = desc->elems; 
    int n, m;          /* iterate over heap elements */ 
    int max_code = -1; /* largest code with non zero frequency */ 
    int node = elems;  /* next internal node of the tree */ 
 
    /* 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. 
     */ 
    heap_len = 0, heap_max = HEAP_SIZE; 
 
    for (n = 0; n < elems; n++) { 
        if (tree[n].Freq != 0) { 
            heap[++heap_len] = max_code = n; 
            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 (heap_len < 2) { 
        int new = heap[++heap_len] = (max_code < 2 ? ++max_code : 0); 
        tree[new].Freq = 1; 
        depth[new] = 0; 
        opt_len--; if (stree) static_len -= stree[new].Len; 
        /* new 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 = heap_len/2; n >= 1; n--) pqdownheap(tree, n); 
 
    /* Construct the Huffman tree by repeatedly combining the least two 
     * frequent nodes. 
     */ 
    do { 
        pqremove(tree, n);   /* n = node of least frequency */ 
        m = heap[SMALLEST];  /* m = node of next least frequency */ 
 
        heap[--heap_max] = n; /* keep the nodes sorted by frequency */ 
        heap[--heap_max] = m; 
 
        /* Create a new node father of n and m */ 
        tree[node].Freq = tree[n].Freq + tree[m].Freq; 
        depth[node] = (uch) (MAX(depth[n], depth[m]) + 1); 
        tree[n].Dad = tree[m].Dad = (ush)node; 
#ifdef DUMP_BL_TREE 
        if (tree == 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 */ 
        heap[SMALLEST] = node++; 
        pqdownheap(tree, SMALLEST); 
 
    } while (heap_len >= 2); 
 
    heap[--heap_max] = heap[SMALLEST]; 
 
    /* At this point, the fields freq and dad are set. We can now 
     * generate the bit lengths. 
     */ 
    gen_bitlen((tree_desc near *)desc); 
 
    /* The field len is now set, we can generate the bit codes */ 
    gen_codes ((ct_data near *)tree, max_code); 
} 
 
/* =========================================================================== 
 * Scan a literal or distance tree to determine the frequencies of the codes 
 * in the bit length tree. Updates opt_len to take into account the repeat 
 * counts. (The contribution of the bit length codes will be added later 
 * during the construction of bl_tree.) 
 */ 
local void scan_tree (tree, max_code) 
    ct_data near *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) { 
            bl_tree[curlen].Freq += count; 
        } else if (curlen != 0) { 
            if (curlen != prevlen) bl_tree[curlen].Freq++; 
            bl_tree[REP_3_6].Freq++; 
        } else if (count <= 10) { 
            bl_tree[REPZ_3_10].Freq++; 
        } else { 
            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 (tree, max_code) 
    ct_data near *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(curlen, bl_tree); } while (--count != 0); 
 
        } else if (curlen != 0) { 
            if (curlen != prevlen) { 
                send_code(curlen, bl_tree); count--; 
            } 
            Assert(count >= 3 && count <= 6, " 3_6?"); 
            send_code(REP_3_6, bl_tree); send_bits(count-3, 2); 
 
        } else if (count <= 10) { 
            send_code(REPZ_3_10, bl_tree); send_bits(count-3, 3); 
 
        } else { 
            send_code(REPZ_11_138, bl_tree); send_bits(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() 
{ 
    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((ct_data near *)dyn_ltree, l_desc.max_code); 
    scan_tree((ct_data near *)dyn_dtree, d_desc.max_code); 
 
    /* Build the bit length tree: */ 
    build_tree((tree_desc near *)(&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 (bl_tree[bl_order[max_blindex]].Len != 0) break; 
    } 
    /* Update opt_len to include the bit length tree and counts */ 
    opt_len += 3*(max_blindex+1) + 5+5+4; 
    Tracev((stderr, "\ndyn trees: dyn %ld, stat %ld", opt_len, 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(lcodes, dcodes, blcodes) 
    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(lcodes-257, 5); /* not +255 as stated in appnote.txt */ 
    send_bits(dcodes-1,   5); 
    send_bits(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(bl_tree[bl_order[rank]].Len, 3); 
    } 
    Tracev((stderr, "\nbl tree: sent %ld", bits_sent)); 
 
    send_tree((ct_data near *)dyn_ltree, lcodes-1); /* send the literal tree */ 
    Tracev((stderr, "\nlit tree: sent %ld", bits_sent)); 
 
    send_tree((ct_data near *)dyn_dtree, dcodes-1); /* send the distance tree */ 
    Tracev((stderr, "\ndist tree: sent %ld", bits_sent)); 
} 
 
/* =========================================================================== 
 * Determine the best encoding for the current block: dynamic trees, static 
 * trees or store, and output the encoded block to the zip file. This function 
 * returns the total compressed length for the file so far. 
 */ 
ulg flush_block(buf, stored_len, eof) 
    char *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;  /* index of last bit length code of non zero freq */ 
 
    flag_buf[last_flags] = flags; /* Save the flags for the last 8 items */ 
 
     /* Check if the file is ascii or binary */ 
    if (*file_type == (ush)UNKNOWN) set_file_type(); 
 
    /* Construct the literal and distance trees */ 
    build_tree((tree_desc near *)(&l_desc)); 
    Tracev((stderr, "\nlit data: dyn %ld, stat %ld", opt_len, static_len)); 
 
    build_tree((tree_desc near *)(&d_desc)); 
    Tracev((stderr, "\ndist data: dyn %ld, stat %ld", opt_len, 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(); 
 
    /* Determine the best encoding. Compute first the block length in bytes */ 
    opt_lenb = (opt_len+3+7)>>3; 
    static_lenb = (static_len+3+7)>>3; 
    input_len += stored_len; /* for debugging only */ 
 
    Trace((stderr, "\nopt %lu(%lu) stat %lu(%lu) stored %lu lit %u dist %u ", 
            opt_lenb, opt_len, static_lenb, static_len, stored_len, 
            last_lit, last_dist)); 
 
    if (static_lenb <= opt_lenb) opt_lenb = static_lenb; 
 
    /* If compression failed and this is the first and last block, 
     * and if the zip file can be seeked (to rewrite the local header), 
     * the whole file is transformed into a stored file: 
     */ 
#ifdef FORCE_METHOD 
    if (level == 1 && eof && compressed_len == 0L) { /* force stored file */ 
#else 
    if (stored_len <= opt_lenb && eof && compressed_len == 0L && seekable()) { 
#endif 
        /* Since LIT_BUFSIZE <= 2*WSIZE, the input data must be there: */ 
        if (buf == (char*)0) error ("block vanished"); 
 
        copy_block(buf, (unsigned)stored_len, 0); /* without header */ 
        compressed_len = stored_len << 3; 
        *file_method = STORED; 
 
#ifdef FORCE_METHOD 
    } else if (level == 2 && buf != (char*)0) { /* force stored block */ 
#else 
    } 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. 
         */ 
        send_bits((STORED_BLOCK<<1)+eof, 3);  /* send block type */ 
        compressed_len = (compressed_len + 3 + 7) & ~7L; 
        compressed_len += (stored_len + 4) << 3; 
 
        copy_block(buf, (unsigned)stored_len, 1); /* with header */ 
 
#ifdef FORCE_METHOD 
    } else if (level == 3) { /* force static trees */ 
#else 
    } else if (static_lenb == opt_lenb) { 
#endif 
        send_bits((STATIC_TREES<<1)+eof, 3); 
        compress_block((ct_data near *)static_ltree, (ct_data near *)static_dtree); 
        compressed_len += 3 + static_len; 
    } else { 
        send_bits((DYN_TREES<<1)+eof, 3); 
        send_all_trees(l_desc.max_code+1, d_desc.max_code+1, max_blindex+1); 
        compress_block((ct_data near *)dyn_ltree, (ct_data near *)dyn_dtree); 
        compressed_len += 3 + opt_len; 
    } 
    Assert (compressed_len == bits_sent, "bad compressed size"); 
    init_block(); 
 
    if (eof) { 
        Assert (input_len == isize, "bad input size"); 
        bi_windup(); 
        compressed_len += 7;  /* align on byte boundary */ 
    } 
    Tracev((stderr,"\ncomprlen %lu(%lu) ", compressed_len>>3, 
           compressed_len-7*eof)); 
 
    return compressed_len >> 3; 
} 
 
/* =========================================================================== 
 * Save the match info and tally the frequency counts. Return true if 
 * the current block must be flushed. 
 */ 
int ct_tally (dist, lc) 
    int dist;  /* distance of matched string */ 
    int lc;    /* match length-MIN_MATCH or unmatched char (if dist==0) */ 
{ 
    l_buf[last_lit++] = (uch)lc; 
    if (dist == 0) { 
        /* lc is the unmatched char */ 
        dyn_ltree[lc].Freq++; 
    } else { 
        /* Here, lc is the match length - MIN_MATCH */ 
        dist--;             /* dist = match distance - 1 */ 
        Assert((ush)dist < (ush)MAX_DIST && 
               (ush)lc <= (ush)(MAX_MATCH-MIN_MATCH) && 
               (ush)d_code(dist) < (ush)D_CODES,  "ct_tally: bad match"); 
 
        dyn_ltree[length_code[lc]+LITERALS+1].Freq++; 
        dyn_dtree[d_code(dist)].Freq++; 
 
        d_buf[last_dist++] = (ush)dist; 
        flags |= flag_bit; 
    } 
    flag_bit <<= 1; 
 
    /* Output the flags if they fill a byte: */ 
    if ((last_lit & 7) == 0) { 
        flag_buf[last_flags++] = flags; 
        flags = 0, flag_bit = 1; 
    } 
    /* Try to guess if it is profitable to stop the current block here */ 
    if (level > 2 && (last_lit & 0xfff) == 0) { 
        /* Compute an upper bound for the compressed length */ 
        ulg out_length = (ulg)last_lit*8L; 
        ulg in_length = (ulg)strstart-block_start; 
        int dcode; 
        for (dcode = 0; dcode < D_CODES; dcode++) { 
            out_length += (ulg)dyn_dtree[dcode].Freq*(5L+extra_dbits[dcode]); 
        } 
        out_length >>= 3; 
        Trace((stderr,"\nlast_lit %u, last_dist %u, in %ld, out ~%ld(%ld%%) ", 
               last_lit, last_dist, in_length, out_length, 
               100L - out_length*100L/in_length)); 
        if (last_dist < last_lit/2 && out_length < in_length/2) return 1; 
    } 
    return (last_lit == LIT_BUFSIZE-1 || last_dist == DIST_BUFSIZE); 
    /* 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(ltree, dtree) 
    ct_data near *ltree; /* literal tree */ 
    ct_data near *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 dx = 0;    /* running index in d_buf */ 
    unsigned fx = 0;    /* running index in flag_buf */ 
    uch flag = 0;       /* current flags */ 
    unsigned code;      /* the code to send */ 
    int extra;          /* number of extra bits to send */ 
 
    if (last_lit != 0) do { 
        if ((lx & 7) == 0) flag = flag_buf[fx++]; 
        lc = l_buf[lx++]; 
        if ((flag & 1) == 0) { 
            send_code(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(code+LITERALS+1, ltree); /* send the length code */ 
            extra = extra_lbits[code]; 
            if (extra != 0) { 
                lc -= base_length[code]; 
                send_bits(lc, extra);        /* send the extra length bits */ 
            } 
            dist = d_buf[dx++]; 
            /* Here, dist is the match distance - 1 */ 
            code = d_code(dist); 
            Assert (code < D_CODES, "bad d_code"); 
 
            send_code(code, dtree);       /* send the distance code */ 
            extra = extra_dbits[code]; 
            if (extra != 0) { 
                dist -= base_dist[code]; 
                send_bits(dist, extra);   /* send the extra distance bits */ 
            } 
        } /* literal or match pair ? */ 
        flag >>= 1; 
    } while (lx < last_lit); 
 
    send_code(END_BLOCK, ltree); 
} 
 
/* =========================================================================== 
 * Set the file 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_file_type() 
{ 
    int n = 0; 
    unsigned ascii_freq = 0; 
    unsigned bin_freq = 0; 
    while (n < 7)        bin_freq += dyn_ltree[n++].Freq; 
    while (n < 128)    ascii_freq += dyn_ltree[n++].Freq; 
    while (n < LITERALS) bin_freq += dyn_ltree[n++].Freq; 
    *file_type = bin_freq > (ascii_freq >> 2) ? BINARY : ASCII; 
    if (*file_type == BINARY && translate_eol) { 
        warn("-l used on binary file", ""); 
    } 
}