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diff --git a/gc/doc/tree.html b/gc/doc/tree.html deleted file mode 100644 index 89c515d..0000000 --- a/gc/doc/tree.html +++ /dev/null @@ -1,198 +0,0 @@ -<HTML> -<HEAD> - <TITLE> Two-Level Tree Structure for Fast Pointer Lookup</TITLE> - <AUTHOR> Hans-J. Boehm, Silicon Graphics</author> -</HEAD> -<BODY> -<H1>Two-Level Tree Structure for Fast Pointer Lookup</h1> -<P> -The conservative garbage collector described -<A HREF="gc.html">here</a> uses a 2-level tree -data structure to aid in fast pointer identification. -This data structure is described in a bit more detail here, since -<OL> -<LI> Variations of the data structure are more generally useful. -<LI> It appears to be hard to understand by reading the code. -<LI> Some other collectors appear to use inferior data structures to -solve the same problem. -<LI> It is central to fast collector operation. -</ol> -A candidate pointer is divided into three sections, the <I>high</i>, -<I>middle</i>, and <I>low</i> bits. The exact division between these -three groups of bits is dependent on the detailed collector configuration. -<P> -The high and middle bits are used to look up an entry in the table described -here. The resulting table entry consists of either a block descriptor -(<TT>struct hblkhdr *</tt> or <TT>hdr *</tt>) -identifying the layout of objects in the block, or an indication that this -address range corresponds to the middle of a large block, together with a -hint for locating the actual block descriptor. Such a hint consist -of a displacement that can be subtracted from the middle bits of the candidate -pointer without leaving the object. -<P> -In either case, the block descriptor (<TT>struct hblkhdr</tt>) -refers to a table of object starting addresses (the <TT>hb_map</tt> field). -The starting address table is indexed by the low bits if the candidate pointer. -The resulting entry contains a displacement to the beginning of the object, -or an indication that this cannot be a valid object pointer. -(If all interior pointer are recognized, pointers into large objects -are handled specially, as appropriate.) - -<H2>The Tree</h2> -<P> -The rest of this discussion focuses on the two level data structure -used to map the high and middle bits to the block descriptor. -<P> -The high bits are used as an index into the <TT>GC_top_index</tt> (really -<TT>GC_arrays._top_index</tt>) array. Each entry points to a -<TT>bottom_index</tt> data structure. This structure in turn consists -mostly of an array <TT>index</tt> indexed by the middle bits of -the candidate pointer. The <TT>index</tt> array contains the actual -<TT>hdr</tt> pointers. -<P> -Thus a pointer lookup consists primarily of a handful of memory references, -and can be quite fast: -<OL> -<LI> The appropriate <TT>bottom_index</tt> pointer is looked up in -<TT>GC_top_index</tt>, based on the high bits of the candidate pointer. -<LI> The appropriate <TT>hdr</tt> pointer is looked up in the -<TT>bottom_index</tt> structure, based on the middle bits. -<LI> The block layout map pointer is retrieved from the <TT>hdr</tt> -structure. (This memory reference is necessary since we try to share -block layout maps.) -<LI> The displacement to the beginning of the object is retrieved from the -above map. -</ol> -<P> -In order to conserve space, not all <TT>GC_top_index</tt> entries in fact -point to distinct <TT>bottom_index</tt> structures. If no address with -the corresponding high bits is part of the heap, then the entry points -to <TT>GC_all_nils</tt>, a single <TT>bottom_index</tt> structure consisting -only of NULL <TT>hdr</tt> pointers. -<P> -<TT>Bottom_index</tt> structures contain slightly more information than -just <TT>hdr</tt> pointers. The <TT>asc_link</tt> field is used to link -all <TT>bottom_index</tt> structures in ascending order for fast traversal. -This list is pointed to be <TT>GC_all_bottom_indices</tt>. -It is maintained with the aid of <TT>key</tt> field that contains the -high bits corresponding to the <TT>bottom_index</tt>. - -<H2>64 bit addresses</h2> -<P> -In the case of 64 bit addresses, this picture is complicated slightly -by the fact that one of the index structures would have to be huge to -cover the entire address space with a two level tree. We deal with this -by turning <TT>GC_top_index</tt> into a chained hash table, instead of -a simple array. This adds a <TT>hash_link</tt> field to the -<TT>bottom_index</tt> structure. -<P> -The "hash function" consists of dropping the high bits. This is cheap to -compute, and guarantees that there will be no collisions if the heap -is contiguous and not excessively large. - -<H2>A picture</h2> -<P> -The following is an ASCII diagram of the data structure. -This was contributed by Dave Barrett several years ago. -<PRE> - - Data Structure used by GC_base in gc3.7: - 21-Apr-94 - - - - - 63 LOG_TOP_SZ[11] LOG_BOTTOM_SZ[10] LOG_HBLKSIZE[13] - +------------------+----------------+------------------+------------------+ - p:| | TL_HASH(hi) | | HBLKDISPL(p) | - +------------------+----------------+------------------+------------------+ - \-----------------------HBLKPTR(p)-------------------/ - \------------hi-------------------/ - \______ ________/ \________ _______/ \________ _______/ - V V V - | | | - GC_top_index[] | | | - --- +--------------+ | | | - ^ | | | | | - | | | | | | - TOP +--------------+<--+ | | - _SZ +-<| [] | * | | -(items)| +--------------+ if 0 < bi< HBLKSIZE | | - | | | | then large object | | - | | | | starts at the bi'th | | - v | | | HBLK before p. | i | - --- | +--------------+ | (word- | - v | aligned) | - bi= |GET_BI(p){->hash_link}->key==hi | | - v | | - | (bottom_index) \ scratch_alloc'd | | - | ( struct bi ) / by get_index() | | - --- +->+--------------+ | | - ^ | | | | - ^ | | | | - BOTTOM | | ha=GET_HDR_ADDR(p) | | -_SZ(items)+--------------+<----------------------+ +-------+ - | +--<| index[] | | - | | +--------------+ GC_obj_map: v - | | | | from / +-+-+-----+-+-+-+-+ --- - v | | | GC_add < 0| | | | | | | | ^ - --- | +--------------+ _map_entry \ +-+-+-----+-+-+-+-+ | - | | asc_link | +-+-+-----+-+-+-+-+ MAXOBJSZ - | +--------------+ +-->| | | j | | | | | +1 - | | key | | +-+-+-----+-+-+-+-+ | - | +--------------+ | +-+-+-----+-+-+-+-+ | - | | hash_link | | | | | | | | | | v - | +--------------+ | +-+-+-----+-+-+-+-+ --- - | | |<--MAX_OFFSET--->| - | | (bytes) -HDR(p)| GC_find_header(p) | |<--MAP_ENTRIES-->| - | \ from | =HBLKSIZE/WORDSZ - | (hdr) (struct hblkhdr) / alloc_hdr() | (1024 on Alpha) - +-->+----------------------+ | (8/16 bits each) -GET_HDR(p)| word hb_sz (words) | | - +----------------------+ | - | struct hblk *hb_next | | - +----------------------+ | - |mark_proc hb_mark_proc| | - +----------------------+ | - | char * hb_map |>-------------+ - +----------------------+ - | ushort hb_obj_kind | - +----------------------+ - | hb_last_reclaimed | - --- +----------------------+ - ^ | | - MARK_BITS| hb_marks[] | *if hdr is free, hb_sz + DISCARD_WORDS -_SZ(words)| | is the size of a heap chunk (struct hblk) - v | | of at least MININCR*HBLKSIZE bytes (below), - --- +----------------------+ otherwise, size of each object in chunk. - -Dynamic data structures above are interleaved throughout the heap in blocks of -size MININCR * HBLKSIZE bytes as done by gc_scratch_alloc which cannot be -freed; free lists are used (e.g. alloc_hdr). HBLK's below are collected. - - (struct hblk) - --- +----------------------+ < HBLKSIZE --- --- DISCARD_ - ^ |garbage[DISCARD_WORDS]| aligned ^ ^ HDR_BYTES WORDS - | | | | v (bytes) (words) - | +-----hb_body----------+ < WORDSZ | --- --- - | | | aligned | ^ ^ - | | Object 0 | | hb_sz | - | | | i |(word- (words)| - | | | (bytes)|aligned) v | - | + - - - - - - - - - - -+ --- | --- | - | | | ^ | ^ | - n * | | j (words) | hb_sz BODY_SZ - HBLKSIZE | Object 1 | v v | (words) - (bytes) | |--------------- v MAX_OFFSET - | + - - - - - - - - - - -+ --- (bytes) - | | | !All_INTERIOR_PTRS ^ | - | | | sets j only for hb_sz | - | | Object N | valid object offsets. | | - v | | All objects WORDSZ v v - --- +----------------------+ aligned. --- --- - -DISCARD_WORDS is normally zero. Indeed the collector has not been tested -with another value in ages. -</pre> -</body> |