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author | cvs2git <rtems-devel@rtems.org> | 2004-10-18 18:12:41 +0000 |
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committer | cvs2git <rtems-devel@rtems.org> | 2004-10-18 18:12:41 +0000 |
commit | 22da040d92279fccfb52be0dfd7c31c002f0e6be (patch) | |
tree | 5d8d7914192c1c17146306a75c9ae9be90c4a5a6 /avl-1.4.0/rb.c | |
parent | 66d25567fe424bb55fde088f3d45e9ed044400c1 (diff) |
This commit was manufactured by cvs2svn to create tag 'rtems-addon-rtems-addon-packages-4-6-2
packages-4-6-2'.
Sprout from ncurses-gnu 2002-12-19 15:34:54 UTC Eric Norum <WENorum@lbl.gov> 'Latest ncurses add-on'
Cherrypick from addons 2002-06-28 21:58:41 UTC Eric Norum <WENorum@lbl.gov> 'Useful add-on libraries':
README
RTEMS_Makefiles/Makefile.avl
RTEMS_Makefiles/Makefile.common
RTEMS_Makefiles/Makefile.site
avl-1.4.0/AUTHORS
avl-1.4.0/COPYING
avl-1.4.0/ChangeLog
avl-1.4.0/INSTALL
avl-1.4.0/Makefile.am
avl-1.4.0/Makefile.in
avl-1.4.0/NEWS
avl-1.4.0/README
avl-1.4.0/THANKS
avl-1.4.0/TODO
avl-1.4.0/aclocal.m4
avl-1.4.0/avl.c
avl-1.4.0/avl.h
avl-1.4.0/avl.html
avl-1.4.0/avl.info
avl-1.4.0/avl.texinfo
avl-1.4.0/avl.text
avl-1.4.0/avlt.c
avl-1.4.0/avlt.h
avl-1.4.0/avltr.c
avl-1.4.0/avltr.h
avl-1.4.0/configure
avl-1.4.0/configure.in
avl-1.4.0/install-sh
avl-1.4.0/missing
avl-1.4.0/mkinstalldirs
avl-1.4.0/rb.c
avl-1.4.0/rb.h
avl-1.4.0/texinfo.tex
avl-1.4.0/thread-test.c
examples/avl/BuildTests.sh
examples/avl/Makefile
examples/avl/README
examples/avl/init.c
examples/ncurses/BuildTests.sh
examples/ncurses/Makefile
examples/ncurses/README
examples/ncurses/init.c
examples/readline/.gdbinit
examples/readline/Makefile
examples/readline/init.c
examples/readline/rlgeneric.c
ncurses-5.2/ANNOUNCE
ncurses-5.2/Ada95/Makefile.in
ncurses-5.2/Ada95/README
ncurses-5.2/Ada95/TODO
ncurses-5.2/Ada95/gen/Makefile.in
ncurses-5.2/Ada95/gen/gen.c
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ncurses-5.2/INSTALL
ncurses-5.2/MANIFEST
ncurses-5.2/Makefile.glibc
ncurses-5.2/Makefile.in
ncurses-5.2/Makefile.os2
ncurses-5.2/NEWS
ncurses-5.2/README
ncurses-5.2/README.emx
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ncurses-5.2/TO-DO
ncurses-5.2/aclocal.m4
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ncurses-5.2/c++/Makefile.in
ncurses-5.2/c++/NEWS
ncurses-5.2/c++/PROBLEMS
ncurses-5.2/c++/README-first
ncurses-5.2/c++/cursesapp.cc
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ncurses-5.2/c++/cursesf.cc
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ncurses-5.2/c++/cursesm.cc
ncurses-5.2/c++/cursesm.h
ncurses-5.2/c++/cursesmain.cc
ncurses-5.2/c++/cursesp.cc
ncurses-5.2/c++/cursesp.h
ncurses-5.2/c++/cursespad.cc
ncurses-5.2/c++/cursesw.cc
ncurses-5.2/c++/cursesw.h
ncurses-5.2/c++/cursslk.cc
ncurses-5.2/c++/cursslk.h
ncurses-5.2/c++/demo.cc
ncurses-5.2/c++/edit_cfg.sh
ncurses-5.2/c++/etip.h.in
ncurses-5.2/c++/headers
ncurses-5.2/c++/internal.h
ncurses-5.2/c++/modules
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ncurses-5.2/dist.mk
ncurses-5.2/doc/hackguide.doc
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ncurses-5.2/doc/html/ada/files.htm
ncurses-5.2/doc/html/ada/files/T.htm
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ncurses-5.2/test/dots.c
ncurses-5.2/test/filter.c
ncurses-5.2/test/firework.c
ncurses-5.2/test/firstlast.c
ncurses-5.2/test/gdc.6
ncurses-5.2/test/gdc.c
ncurses-5.2/test/hanoi.c
ncurses-5.2/test/hashtest.c
ncurses-5.2/test/keynames.c
ncurses-5.2/test/knight.c
ncurses-5.2/test/lrtest.c
ncurses-5.2/test/modules
ncurses-5.2/test/ncurses.c
ncurses-5.2/test/ncurses_tst.hin
ncurses-5.2/test/newdemo.c
ncurses-5.2/test/railroad.c
ncurses-5.2/test/rain.c
ncurses-5.2/test/tclock.c
ncurses-5.2/test/test.priv.h
ncurses-5.2/test/testaddch.c
ncurses-5.2/test/testcurs.c
ncurses-5.2/test/testscanw.c
ncurses-5.2/test/tracemunch
ncurses-5.2/test/view.c
ncurses-5.2/test/worm.c
ncurses-5.2/test/xmas.c
Cherrypick from master 2004-10-18 18:12:40 UTC Joel Sherrill <joel.sherrill@OARcorp.com> '2004-10-18 Joel Sherrill <joel@OARcorp.com>':
ChangeLog
RTEMS_Makefiles/Makefile.bfd
RTEMS_Makefiles/Makefile.libtecla
RTEMS_Makefiles/Makefile.ncurses
RTEMS_Makefiles/Makefile.ncurses-5.3
RTEMS_Makefiles/Makefile.readline-4.3
RTEMS_Makefiles/Makefile.zlib
SUPPORT
VERSION
bit
bit_bfd
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readline-4.3/examples/excallback.c
readline-4.3/examples/fileman.c
readline-4.3/examples/histexamp.c
readline-4.3/examples/manexamp.c
readline-4.3/examples/readlinebuf.h
readline-4.3/examples/rl.c
readline-4.3/examples/rlcat.c
readline-4.3/examples/rlfe.c
readline-4.3/examples/rltest.c
readline-4.3/examples/rlversion.c
readline-4.3/funmap.c
readline-4.3/histexpand.c
readline-4.3/histfile.c
readline-4.3/histlib.h
readline-4.3/history.c
readline-4.3/history.h
readline-4.3/histsearch.c
readline-4.3/input.c
readline-4.3/isearch.c
readline-4.3/keymaps.c
readline-4.3/keymaps.h
readline-4.3/kill.c
readline-4.3/macro.c
readline-4.3/mbutil.c
readline-4.3/misc.c
readline-4.3/nls.c
readline-4.3/parens.c
readline-4.3/posixdir.h
readline-4.3/posixjmp.h
readline-4.3/posixstat.h
readline-4.3/readline.c
readline-4.3/readline.h
readline-4.3/rlconf.h
readline-4.3/rldefs.h
readline-4.3/rlmbutil.h
readline-4.3/rlprivate.h
readline-4.3/rlshell.h
readline-4.3/rlstdc.h
readline-4.3/rltty.c
readline-4.3/rltty.h
readline-4.3/rltypedefs.h
readline-4.3/rlwinsize.h
readline-4.3/savestring.c
readline-4.3/search.c
readline-4.3/shell.c
readline-4.3/shlib/Makefile.in
readline-4.3/signals.c
readline-4.3/support/config.guess
readline-4.3/support/config.sub
readline-4.3/support/install.sh
readline-4.3/support/mkdirs
readline-4.3/support/mkdist
readline-4.3/support/shlib-install
readline-4.3/support/shobj-conf
readline-4.3/support/wcwidth.c
readline-4.3/tcap.h
readline-4.3/terminal.c
readline-4.3/text.c
readline-4.3/tilde.c
readline-4.3/tilde.h
readline-4.3/undo.c
readline-4.3/util.c
readline-4.3/vi_keymap.c
readline-4.3/vi_mode.c
readline-4.3/xmalloc.c
readline-4.3/xmalloc.h
readline-doc-4.3/MANIFEST.doc
readline-doc-4.3/doc/history.0
readline-doc-4.3/doc/history.dvi
readline-doc-4.3/doc/history.html
readline-doc-4.3/doc/history.info
readline-doc-4.3/doc/history.ps
readline-doc-4.3/doc/history_3.ps
readline-doc-4.3/doc/readline.0
readline-doc-4.3/doc/readline.dvi
readline-doc-4.3/doc/readline.html
readline-doc-4.3/doc/readline.info
readline-doc-4.3/doc/readline.ps
readline-doc-4.3/doc/readline_3.ps
readline-doc-4.3/doc/rluserman.dvi
readline-doc-4.3/doc/rluserman.html
readline-doc-4.3/doc/rluserman.info
readline-doc-4.3/doc/rluserman.ps
rtemsNfs-1.1/ChangeLog
rtemsNfs-1.1/LICENSE
rtemsNfs-1.1/Makefile
rtemsNfs-1.1/README
rtemsNfs-1.1/proto/Makefile
rtemsNfs-1.1/proto/mount_prot.x
rtemsNfs-1.1/proto/nfs_prot.x
rtemsNfs-1.1/rtems-filesystem-patch
rtemsNfs-1.1/src/Makefile
rtemsNfs-1.1/src/cexphelp.c
rtemsNfs-1.1/src/dirutils.c
rtemsNfs-1.1/src/librtemsNfs.h
rtemsNfs-1.1/src/nfs.c
rtemsNfs-1.1/src/nfs.modini.c
rtemsNfs-1.1/src/rpcio.c
rtemsNfs-1.1/src/rpcio.h
rtemsNfs-1.1/src/rpcio.modini.c
rtemsNfs-1.1/src/sock_mbuf.c
rtemsNfs-1.1/src/xdr_mbuf.c
zlib-1.1.4/ChangeLog
zlib-1.1.4/FAQ
zlib-1.1.4/INDEX
zlib-1.1.4/Make_vms.com
zlib-1.1.4/Makefile
zlib-1.1.4/Makefile.in
zlib-1.1.4/Makefile.riscos
zlib-1.1.4/README
zlib-1.1.4/adler32.c
zlib-1.1.4/algorithm.txt
zlib-1.1.4/amiga/Makefile.pup
zlib-1.1.4/amiga/Makefile.sas
zlib-1.1.4/compress.c
zlib-1.1.4/configure
zlib-1.1.4/contrib/README.contrib
zlib-1.1.4/contrib/asm386/gvmat32.asm
zlib-1.1.4/contrib/asm386/gvmat32c.c
zlib-1.1.4/contrib/asm386/mkgvmt32.bat
zlib-1.1.4/contrib/asm386/zlibvc.def
zlib-1.1.4/contrib/asm386/zlibvc.dsp
zlib-1.1.4/contrib/asm386/zlibvc.dsw
zlib-1.1.4/contrib/asm586/README.586
zlib-1.1.4/contrib/asm586/match.S
zlib-1.1.4/contrib/asm686/README.686
zlib-1.1.4/contrib/asm686/match.S
zlib-1.1.4/contrib/delphi/zlib.mak
zlib-1.1.4/contrib/delphi/zlibdef.pas
zlib-1.1.4/contrib/delphi2/d_zlib.bpr
zlib-1.1.4/contrib/delphi2/d_zlib.cpp
zlib-1.1.4/contrib/delphi2/readme.txt
zlib-1.1.4/contrib/delphi2/zlib.bpg
zlib-1.1.4/contrib/delphi2/zlib.bpr
zlib-1.1.4/contrib/delphi2/zlib.cpp
zlib-1.1.4/contrib/delphi2/zlib.pas
zlib-1.1.4/contrib/delphi2/zlib32.bpr
zlib-1.1.4/contrib/delphi2/zlib32.cpp
zlib-1.1.4/contrib/iostream/test.cpp
zlib-1.1.4/contrib/iostream/zfstream.cpp
zlib-1.1.4/contrib/iostream/zfstream.h
zlib-1.1.4/contrib/iostream2/zstream.h
zlib-1.1.4/contrib/iostream2/zstream_test.cpp
zlib-1.1.4/contrib/minizip/ChangeLogUnzip
zlib-1.1.4/contrib/minizip/Makefile
zlib-1.1.4/contrib/minizip/miniunz.c
zlib-1.1.4/contrib/minizip/minizip.c
zlib-1.1.4/contrib/minizip/readme.txt
zlib-1.1.4/contrib/minizip/unzip.c
zlib-1.1.4/contrib/minizip/unzip.def
zlib-1.1.4/contrib/minizip/unzip.h
zlib-1.1.4/contrib/minizip/zip.c
zlib-1.1.4/contrib/minizip/zip.def
zlib-1.1.4/contrib/minizip/zip.h
zlib-1.1.4/contrib/minizip/zlibvc.def
zlib-1.1.4/contrib/minizip/zlibvc.dsp
zlib-1.1.4/contrib/minizip/zlibvc.dsw
zlib-1.1.4/contrib/untgz/Makefile
zlib-1.1.4/contrib/untgz/makefile.w32
zlib-1.1.4/contrib/untgz/untgz.c
zlib-1.1.4/contrib/visual-basic.txt
zlib-1.1.4/crc32.c
zlib-1.1.4/deflate.c
zlib-1.1.4/deflate.h
zlib-1.1.4/descrip.mms
zlib-1.1.4/example.c
zlib-1.1.4/gzio.c
zlib-1.1.4/infblock.c
zlib-1.1.4/infblock.h
zlib-1.1.4/infcodes.c
zlib-1.1.4/infcodes.h
zlib-1.1.4/inffast.c
zlib-1.1.4/inffast.h
zlib-1.1.4/inffixed.h
zlib-1.1.4/inflate.c
zlib-1.1.4/inftrees.c
zlib-1.1.4/inftrees.h
zlib-1.1.4/infutil.c
zlib-1.1.4/infutil.h
zlib-1.1.4/maketree.c
zlib-1.1.4/minigzip.c
zlib-1.1.4/msdos/Makefile.b32
zlib-1.1.4/msdos/Makefile.bor
zlib-1.1.4/msdos/Makefile.dj2
zlib-1.1.4/msdos/Makefile.emx
zlib-1.1.4/msdos/Makefile.msc
zlib-1.1.4/msdos/Makefile.tc
zlib-1.1.4/msdos/Makefile.w32
zlib-1.1.4/msdos/Makefile.wat
zlib-1.1.4/msdos/zlib.def
zlib-1.1.4/msdos/zlib.rc
zlib-1.1.4/nt/Makefile.emx
zlib-1.1.4/nt/Makefile.gcc
zlib-1.1.4/nt/Makefile.nt
zlib-1.1.4/nt/zlib.dnt
zlib-1.1.4/os2/Makefile.os2
zlib-1.1.4/os2/zlib.def
zlib-1.1.4/trees.c
zlib-1.1.4/trees.h
zlib-1.1.4/uncompr.c
zlib-1.1.4/zconf.h
zlib-1.1.4/zlib.3
zlib-1.1.4/zlib.h
zlib-1.1.4/zlib.html
zlib-1.1.4/zutil.c
zlib-1.1.4/zutil.h
Diffstat (limited to 'avl-1.4.0/rb.c')
-rw-r--r-- | avl-1.4.0/rb.c | 1083 |
1 files changed, 1083 insertions, 0 deletions
diff --git a/avl-1.4.0/rb.c b/avl-1.4.0/rb.c new file mode 100644 index 0000000..b0ec05d --- /dev/null +++ b/avl-1.4.0/rb.c @@ -0,0 +1,1083 @@ +/* libavl - manipulates AVL trees. + Copyright (C) 1998, 1999 Free Software Foundation, Inc. + + This program is free software; you can redistribute it and/or + modify it under the terms of the GNU General Public License as + published by the Free Software Foundation; either version 2 of the + License, or (at your option) any later version. + + This program is distributed in the hope that it will be useful, but + WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA + 02111-1307, USA. + + The author may be contacted at <pfaffben@pilot.msu.edu> on the + Internet, or as Ben Pfaff, 12167 Airport Rd, DeWitt MI 48820, USA + through more mundane means. */ + +/* This is file rb.c in libavl. */ + +#if HAVE_CONFIG_H +#include <config.h> +#endif +#if SELF_TEST +#include <limits.h> +#include <time.h> +#endif +#include <stdio.h> +#include <stdlib.h> +#include <assert.h> +#include "rb.h" + +#if !PSPP && !__GCC__ +#define inline +#endif + +#if __GNUC__ >= 2 +#define unused __attribute__ ((unused)) +#else +#define unused +#endif + +#ifdef HAVE_XMALLOC +void *xmalloc (size_t); +#else /* !HAVE_XMALLOC */ +/* Allocates SIZE bytes of space using malloc(). Aborts if out of + memory. */ +static void * +xmalloc (size_t size) +{ + void *vp; + + if (size == 0) + return NULL; + vp = malloc (size); + + assert (vp != NULL); + if (vp == NULL) + { + fprintf (stderr, "virtual memory exhausted\n"); + exit (EXIT_FAILURE); + } + return vp; +} +#endif /* !HAVE_XMALLOC */ + +/* Creates a red-black tree in arena OWNER (which can be NULL). The + arena is owned by the caller, not by the red-black tree. CMP is a + order function for the data to be stored in the tree. PARAM is + arbitrary data that becomes an argument to the comparison + function. */ +rb_tree * +rb_create (MAYBE_ARENA avl_comparison_func cmp, void *param) +{ + rb_tree *tree; + + assert (cmp != NULL); + tree = xmalloc (sizeof (rb_tree)); + + tree->root.link[0] = NULL; + tree->root.link[1] = NULL; + tree->cmp = cmp; + tree->count = 0; + tree->param = param; + + return tree; +} + +/* Destroy tree TREE. Function FREE_FUNC is called for every node in + the tree as it is destroyed. + + No effect if the tree has an arena owner and free_func is NULL. + The caller owns the arena and must destroy it itself. + + Do not attempt to reuse the tree after it has been freed. Create a + new one. */ +void +rb_destroy (rb_tree *tree, avl_node_func free_func) +{ + assert (tree != NULL); + + { + /* Uses Knuth's Algorithm 2.3.1T as modified in exercise 13 + (postorder traversal). */ + + /* T1. */ + rb_node *an[RB_MAX_HEIGHT]; /* Stack A: nodes. */ + unsigned long ab = 0; /* Stack A: bits. */ + int ap = 0; /* Stack A: height. */ + rb_node *p = tree->root.link[0]; + + for (;;) + { + /* T2. */ + while (p != NULL) + { + /* T3. */ + ab &= ~(1ul << ap); + an[ap++] = p; + p = p->link[0]; + } + + /* T4. */ + for (;;) + { + if (ap == 0) + goto done; + + p = an[--ap]; + if ((ab & (1ul << ap)) == 0) + { + ab |= (1ul << ap++); + p = p->link[1]; + break; + } + + if (free_func) + free_func (p->data, tree->param); + free (p); + } + } + } + + done: + free (tree); +} + +/* rb_destroy() with FREE_FUNC hardcoded as free(). */ +void +rb_free (rb_tree *tree) +{ + rb_destroy (tree, (avl_node_func) free); +} + +/* Return the number of nodes in TREE. */ +int +rb_count (const rb_tree *tree) +{ + assert (tree != NULL); + return tree->count; +} + +/* Copy the contents of TREE to a new tree in arena OWNER. If COPY is + non-NULL, then each data item is passed to function COPY, and the + return values are inserted into the new tree; otherwise, the items + are copied verbatim from the old tree to the new tree. Returns the + new tree. */ +rb_tree * +rb_copy (MAYBE_ARENA const rb_tree *tree, avl_copy_func copy) +{ + /* This is a combination of Knuth's Algorithm 2.3.1C (copying a + binary tree) and Algorithm 2.3.1T as modified by exercise 12 + (preorder traversal). */ + + rb_tree *new_tree; + + /* PT1. */ + const rb_node *pa[RB_MAX_HEIGHT]; /* Stack PA: nodes. */ + const rb_node **pp = pa; /* Stack PA: stack pointer. */ + const rb_node *p = &tree->root; + + /* QT1. */ + rb_node *qa[RB_MAX_HEIGHT]; /* Stack QA: nodes. */ + rb_node **qp = qa; /* Stack QA: stack pointer. */ + rb_node *q; + + assert (tree != NULL); + new_tree = rb_create (tree->cmp, tree->param); + new_tree->count = tree->count; + q = &new_tree->root; + + for (;;) + { + /* C4. */ + if (p->link[0] != NULL) + { + rb_node *r = xmalloc (sizeof (rb_node)); + r->link[0] = r->link[1] = NULL; + q->link[0] = r; + } + + /* C5: Find preorder successors of P and Q. */ + goto start; + for (;;) + { + /* PT2. */ + while (p != NULL) + { + goto escape; + start: + /* PT3. */ + *pp++ = p; + *qp++ = q; + p = p->link[0]; + q = q->link[0]; + } + + /* PT4. */ + if (pp == pa) + { + assert (qp == qa); + return new_tree; + } + + p = *--pp; + q = *--qp; + + /* PT5. */ + p = p->link[1]; + q = q->link[1]; + } + escape: + + /* C2. */ + if (p->link[1]) + { + rb_node *r = xmalloc (sizeof (rb_node)); + r->link[0] = r->link[1] = NULL; + q->link[1] = r; + } + + /* C3. */ + q->color = p->color; + if (copy == NULL) + q->data = p->data; + else + q->data = copy (p->data, tree->param); + } +} + +/* Walk tree TREE in inorder, calling WALK_FUNC at each node. Passes + PARAM to WALK_FUNC. */ +void +rb_walk (const rb_tree *tree, avl_node_func walk_func, void *param) +{ + /* Uses Knuth's algorithm 2.3.1T (inorder traversal). */ + assert (tree && walk_func); + + { + /* T1. */ + const rb_node *an[RB_MAX_HEIGHT]; /* Stack A: nodes. */ + const rb_node **ap = an; /* Stack A: stack pointer. */ + const rb_node *p = tree->root.link[0]; + + for (;;) + { + /* T2. */ + while (p != NULL) + { + /* T3. */ + *ap++ = p; + p = p->link[0]; + } + + /* T4. */ + if (ap == an) + return; + p = *--ap; + + /* T5. */ + walk_func (p->data, param); + p = p->link[1]; + } + } +} + +/* Each call to this function for a given TREE and TRAV return the + next item in the tree in inorder. Initialize the first element of + TRAV (init) to 0 before calling the first time. Returns NULL when + out of elements. */ +void * +rb_traverse (const rb_tree *tree, rb_traverser *trav) +{ + assert (tree && trav); + + /* Uses Knuth's algorithm 2.3.1T (inorder traversal). */ + if (trav->init == 0) + { + /* T1. */ + trav->init = 1; + trav->nstack = 0; + trav->p = tree->root.link[0]; + } + else + /* T5. */ + trav->p = trav->p->link[1]; + + for (;;) + { + /* T2. */ + while (trav->p != NULL) + { + /* T3. */ + trav->stack[trav->nstack++] = trav->p; + trav->p = trav->p->link[0]; + } + + /* T4. */ + if (trav->nstack == 0) + { + trav->init = 0; + return NULL; + } + trav->p = trav->stack[--trav->nstack]; + + /* T5. */ + return trav->p->data; + } +} + +/* Search TREE for an item matching ITEM. If found, returns a pointer + to the address of the item. If none is found, ITEM is inserted + into the tree, and a pointer to the address of ITEM is returned. + In either case, the pointer returned can be changed by the caller, + or the returned data item can be directly edited, but the key data + in the item must not be changed. */ +void ** +rb_probe (rb_tree *tree, void *item) +{ + /* Algorithm based on RB-Insert from section 14.3 of _Introduction + to Algorithms_, Cormen et al., MIT Press 1990, ISBN + 0-262-03141-8. */ + + rb_node *ap[RB_MAX_HEIGHT]; /* Stack A: Nodes. */ + char ad[RB_MAX_HEIGHT]; /* Stack A: Directions. */ + int ak = 1; /* Stack A: Pointer. */ + + rb_node *t, *x, *y, *n; + + assert (tree != NULL); + t = &tree->root; + x = t->link[0]; + + if (x == NULL) + { + tree->count++; + assert (tree->count == 1); + x = t->link[0] = xmalloc (sizeof (rb_node)); + x->data = item; + x->link[0] = x->link[1] = NULL; + x->color = RB_BLACK; + return &x->data; + } + + ad[0] = 0; + ap[0] = &tree->root; + + for (;;) + { + int diff = tree->cmp (item, x->data, tree->param); + + if (diff < 0) + { + ap[ak] = x; + ad[ak++] = 0; + y = x->link[0]; + if (y == NULL) + { + n = x = x->link[0] = xmalloc (sizeof (rb_node)); + break; + } + } + else if (diff > 0) + { + ap[ak] = x; + ad[ak++] = 1; + y = x->link[1]; + if (y == NULL) + { + n = x = x->link[1] = xmalloc (sizeof (rb_node)); + break; + } + } + else + return &x->data; + + x = y; + } + + tree->count++; + x->data = item; + x->link[0] = x->link[1] = NULL; + x->color = RB_RED; + + for (;;) + { + if (ak < 3 || ap[ak - 1]->color != RB_RED) + break; + + if (ad[ak - 2] == 0) + { + y = ap[ak - 2]->link[1]; + if (y != NULL && y->color == RB_RED) + { + /* Case 1. */ + ap[ak - 1]->color = y->color = RB_BLACK; + ap[ak - 2]->color = RB_RED; + ak -= 2; + } + else + { + if (ad[ak - 1] == 1) + { + /* Case 2. */ + x = ap[ak - 1]; + y = x->link[1]; + x->link[1] = y->link[0]; + y->link[0] = x; + ap[ak - 2]->link[0] = y; + } + else + y = ap[ak - 1]; + + /* Case 3. */ + x = ap[ak - 2]; + x->color = RB_RED; + y->color = RB_BLACK; + + x->link[0] = y->link[1]; + y->link[1] = x; + ap[ak - 3]->link[(int) ad[ak - 3]] = y; + + break; + } + } + else + { + y = ap[ak - 2]->link[0]; + if (y != NULL && y->color == RB_RED) + { + /* Case 1. */ + ap[ak - 1]->color = y->color = RB_BLACK; + ap[ak - 2]->color = RB_RED; + ak -= 2; + } + else + { + if (ad[ak - 1] == 0) + { + /* Case 2. */ + x = ap[ak - 1]; + y = x->link[0]; + x->link[0] = y->link[1]; + y->link[1] = x; + ap[ak - 2]->link[1] = y; + } + else + y = ap[ak - 1]; + + /* Case 3. */ + x = ap[ak - 2]; + x->color = RB_RED; + y->color = RB_BLACK; + + x->link[1] = y->link[0]; + y->link[0] = x; + ap[ak - 3]->link[(int) ad[ak - 3]] = y; + break; + } + } + } + + tree->root.link[0]->color = RB_BLACK; + + return &n->data; +} + +/* Search TREE for an item matching ITEM, and return it if found. */ +void * +rb_find (const rb_tree *tree, const void *item) +{ + const rb_node *p; + + assert (tree != NULL); + for (p = tree->root.link[0]; p; ) + { + int diff = tree->cmp (item, p->data, tree->param); + + if (diff < 0) + p = p->link[0]; + else if (diff > 0) + p = p->link[1]; + else + return p->data; + } + + return NULL; +} + +/* Search TREE for an item close to the value of ITEM, and return it. + This function will return a null pointer only if TREE is empty. */ +void * +rb_find_close (const rb_tree *tree, const void *item) +{ + const rb_node *p; + + assert (tree != NULL); + p = tree->root.link[0]; + if (p == NULL) + return NULL; + + for (;;) + { + int diff = tree->cmp (item, p->data, tree->param); + int t; + + if (diff < 0) + t = 0; + else if (diff > 0) + t = 1; + else + return p->data; + + if (p->link[t]) + p = p->link[t]; + else + return p->data; + } +} + +/* Searches red-black tree TREE for an item matching ITEM. If found, + the item is removed from the tree and the actual item found is + returned to the caller. If no item matching ITEM exists in the + tree, returns NULL. */ +void * +rb_delete (rb_tree *tree, const void *item) +{ + /* Algorithm based on RB-Delete and RB-Delete-Fixup from section + 14.4 of _Introduction to Algorithms_, Cormen et al., MIT Press + 1990, ISBN 0-262-03141-8. */ + + rb_node *pa[RB_MAX_HEIGHT]; /* Stack P: Nodes. */ + char a[RB_MAX_HEIGHT]; /* Stack P: Bits. */ + int k = 1; /* Stack P: Pointer. */ + + rb_node *w, *x, *y, *z; + + assert (tree != NULL); + + a[0] = 0; + pa[0] = &tree->root; + z = tree->root.link[0]; + for (;;) + { + int diff; + + if (z == NULL) + return NULL; + + diff = tree->cmp (item, z->data, tree->param); + if (diff == 0) + break; + + pa[k] = z; + if (diff < 0) + { + z = z->link[0]; + a[k] = 0; + } + else if (diff > 0) + { + z = z->link[1]; + a[k] = 1; + } + k++; + } + tree->count--; + + item = z->data; + + /* RB-Delete: Line 1. */ + if (z->link[0] == NULL || z->link[1] == NULL) + { + /* Line 2. */ + y = z; + + /* Lines 4-6. */ + if (y->link[0] != NULL) + x = y->link[0]; + else + x = y->link[1]; + + pa[k - 1]->link[(int) a[k - 1]] = x; + } + else + { + pa[k] = z; + a[k++] = 1; + + /* Line 3. */ + y = z->link[1]; + while (y->link[0]) + { + pa[k] = y; + a[k++] = 0; + y = y->link[0]; + } + + /* Lines 4-6. */ + x = y->link[1]; + + /* Lines 13-15. */ + z->data = y->data; + pa[k - 1]->link[(int) a[k - 1]] = x; + } + + /* Line 16. */ + if (y->color == RB_RED) + { + free (y); + return (void *) item; + } + + free (y); + + /* Numbers below are line numbers from RB-Delete-Fixup. */ + while (k > 1 && (x == NULL || x->color == RB_BLACK)) /* 1 */ + { + if (a[k - 1] == 0) /* 2 */ + { + w = pa[k - 1]->link[1]; /* 3 */ + + if (w->color == RB_RED) /* 4 */ + { + /* Case 1. */ + w->color = RB_BLACK; /* 5 */ + pa[k - 1]->color = RB_RED; /* 6 */ + + pa[k - 1]->link[1] = w->link[0]; /* 7 */ + w->link[0] = pa[k - 1]; + pa[k - 2]->link[(int) a[k - 2]] = w; + + pa[k] = pa[k - 1]; + a[k] = 0; + pa[k - 1] = w; + k++; + + w = pa[k - 1]->link[1]; /* 8 */ + } + + if ((w->link[0] == NULL || w->link[0]->color == RB_BLACK) /* 9 */ + && (w->link[1] == NULL || w->link[1]->color == RB_BLACK)) + { + /* Case 2. */ + w->color = RB_RED; /* 10 */ + + x = pa[k - 1]; /* 11 */ + k--; + } + else + { + if (w->link[1] == NULL || w->link[1]->color == RB_BLACK) /* 12 */ + { + /* Case 3. */ + w->link[0]->color = RB_BLACK; /* 13 */ + w->color = RB_RED; /* 14 */ + + y = w->link[0]; /* 15 */ + w->link[0] = y->link[1]; + y->link[1] = w; + + w = pa[k - 1]->link[1] = y; /* 16 */ + } + + /* Case 4. */ + w->color = pa[k - 1]->color; /* 17 */ + pa[k - 1]->color = RB_BLACK; /* 18 */ + w->link[1]->color = RB_BLACK; /* 19 */ + + pa[k - 1]->link[1] = w->link[0]; /* 20 */ + w->link[0] = pa[k - 1]; + pa[k - 2]->link[(int) a[k - 2]] = w; + + x = tree->root.link[0]; /* 21 */ + break; + } + } + else + { + w = pa[k - 1]->link[0]; + if (w->color == RB_RED) + { + /* Case 1. */ + w->color = RB_BLACK; + pa[k - 1]->color = RB_RED; + + pa[k - 1]->link[0] = w->link[1]; + w->link[1] = pa[k - 1]; + pa[k - 2]->link[(int) a[k - 2]] = w; + + pa[k] = pa[k - 1]; + a[k] = 1; + pa[k - 1] = w; + k++; + + w = pa[k - 1]->link[0]; + } + + if ((w->link[0] == NULL || w->link[0]->color == RB_BLACK) + && (w->link[1] == NULL || w->link[1]->color == RB_BLACK)) + { + /* Case 2. */ + w->color = RB_RED; + x = pa[k - 1]; + k--; + } + else + { + if (w->link[0] == NULL || w->link[0]->color == RB_BLACK) + { + /* Case 3. */ + w->link[1]->color = RB_BLACK; + w->color = RB_RED; + + y = w->link[1]; + w->link[1] = y->link[0]; + y->link[0] = w; + + w = pa[k - 1]->link[0] = y; + } + + /* Case 4. */ + w->color = pa[k - 1]->color; + pa[k - 1]->color = RB_BLACK; + w->link[0]->color = RB_BLACK; + + pa[k - 1]->link[0] = w->link[1]; + w->link[1] = pa[k - 1]; + pa[k - 2]->link[(int) a[k - 2]] = w; + + x = tree->root.link[0]; + break; + } + } + } + + if (x != NULL) + x->color = RB_BLACK; /* 23 */ + + return (void *) item; +} + +/* Inserts ITEM into TREE. Returns NULL if the item was inserted, + otherwise a pointer to the duplicate item. */ +void * +rb_insert (rb_tree *tree, void *item) +{ + void **p; + + assert (tree != NULL); + + p = rb_probe (tree, item); + return (*p == item) ? NULL : *p; +} + +/* If ITEM does not exist in TREE, inserts it and returns NULL. If a + matching item does exist, it is replaced by ITEM and the item + replaced is returned. The caller is responsible for freeing the + item returned. */ +void * +rb_replace (rb_tree *tree, void *item) +{ + void **p; + + assert (tree != NULL); + + p = rb_probe (tree, item); + if (*p == item) + return NULL; + else + { + void *r = *p; + *p = item; + return r; + } +} + +/* Delete ITEM from TREE when you know that ITEM must be in TREE. For + debugging purposes. */ +void * +(rb_force_delete) (rb_tree *tree, void *item) +{ + void *found = rb_delete (tree, item); + assert (found != NULL); + return found; +} + +#if SELF_TEST + +/* Used to flag delayed aborting. */ +int done = 0; + +/* Print the structure of node NODE of a red-black tree, which is + LEVEL levels from the top of the tree. Uses different delimiters + to visually distinguish levels. */ +void +print_structure (rb_node *node, int level) +{ + char lc[] = "([{<`/"; + char rc[] = ")]}>'\\"; + + assert (level <= 10); + + if (node == NULL) + { + printf (" nil"); + fflush (stdout); + return; + } + printf (" %c%d%c", + lc[level % 6], (int) node->data, + node->color == RB_BLACK ? 'b' : 'r'); + fflush (stdout); + if (node->link[0] || node->link[1]) + print_structure (node->link[0], level + 1); + if (node->link[1]) + print_structure (node->link[1], level + 1); + printf ("%c", rc[level % 6]); + fflush (stdout); +} + +/* Compare two integers A and B and return a strcmp()-type result. */ +int +compare_ints (const void *a, const void *b, void *param unused) +{ + return ((int) a) - ((int) b); +} + +/* Print the value of integer A. */ +void +print_int (void *a, void *param unused) +{ + printf (" %d", (int) a); +} + +/* Linearly print contents of TREE. */ +void +print_contents (rb_tree *tree) +{ + rb_walk (tree, print_int, NULL); + printf ("\n"); +} + +/* Examine NODE in a red-black tree. *COUNT is increased by the + number of nodes in the tree, including the current one. Returns + the number of black nodes (including this node) in a path from this + node to any leaf. */ +int +recurse_tree (rb_node *node, int *count, int ge, int le) +{ + if (node) + { + const int d = (int) node->data; + int nl = 1; + int nr = 1; + + (*count)++; + + if (!(d >= ge) || !(d <= le)) + { + printf (" Node %d is out of order in the tree.\n", d); + done = 1; + } + + if (node->link[0]) + nl = recurse_tree (node->link[0], count, ge, d - 1); + if (node->link[1]) + nr = recurse_tree (node->link[1], count, d + 1, le); + + if (node->color != RB_RED && node->color != RB_BLACK) + { + printf (" Node %d is neither red nor black (%d).\n", d, node->color); + done = 1; + } + + if (node->color == RB_RED + && node->link[0] && node->link[0]->color == RB_RED) + { + printf (" Red node %d has red left child %d\n", + d, (int) node->link[0]->data); + done = 1; + } + + if (node->color == RB_RED + && node->link[1] && node->link[1]->color == RB_RED) + { + printf (" Red node %d has red right child %d\n", + d, (int) node->link[1]->data); + done = 1; + } + + if (nl != nr) + { + printf (" Node %d has two different black-heights: left bh=%d, " + "right bh=%d\n", d, nl, nr); + done = 1; + } + + return (node->color == RB_BLACK) + nl; + } + else return 1; +} + +/* Check that everything about TREE is kosher. */ +void +verify_tree (rb_tree *tree) +{ + int count = 0; + recurse_tree (tree->root.link[0], &count, INT_MIN, INT_MAX); + if (count != tree->count) + { + printf (" Tree has %d nodes, but tree count is %d.\n", + count, tree->count); + done = 1; + } + if (done) + abort (); +} + +/* Arrange the N elements of ARRAY in random order. */ +void +shuffle (int *array, int n) +{ + int i; + + for (i = 0; i < n; i++) + { + int j = i + rand () % (n - i); + int t = array[j]; + array[j] = array[i]; + array[i] = t; + } +} + +/* Compares red-black trees rooted at A and B, making sure that they + are identical. */ +void +compare_trees (rb_node *a, rb_node *b) +{ + if (a == NULL || b == NULL) + { + assert (a == NULL && b == NULL); + return; + } + if (a->data != b->data || a->color != b->color + || ((a->link[0] != NULL) ^ (b->link[0] != NULL)) + || ((a->link[1] != NULL) ^ (b->link[1] != NULL))) + { + printf (" Copied nodes differ: %d b=%d a->color=%d b->color=%d a:", + (int) a->data, (int) b->data, a->color, b->color); + if (a->link[0]) + printf ("l"); + if (a->link[1]) + printf ("r"); + printf (" b:"); + if (b->link[0]) + printf ("l"); + if (b->link[1]) + printf ("r"); + printf ("\n"); + abort (); + } + if (a->link[0] != NULL) + compare_trees (a->link[0], b->link[0]); + if (a->link[1] != NULL) + compare_trees (a->link[1], b->link[1]); +} + +/* Simple stress test procedure for the red-black tree routines. Does + the following: + + * Generate a random number seed. By default this is generated from + the current time. You can also pass a seed value on the command + line if you want to test the same case. The seed value is + displayed. + + * Create a tree and insert the integers from 0 up to TREE_SIZE - 1 + into it, in random order. Verify the tree structure after each + insertion. + + * Remove each integer from the tree, in a different random order. + After each deletion, verify the tree structure; also, make a copy + of the tree into a new tree, verify the copy and compare it to the + original, then destroy the copy. + + * Destroy the tree, increment the random seed value, and start over. + + If you make any modifications to the red-black tree routines, then + you might want to insert some calls to print_structure() at + strategic places in order to be able to see what's really going on. + Also, memory debuggers like Checker or Purify are very handy. */ +#define TREE_SIZE 16 +#define N_ITERATIONS 1024 +int +main (int argc, char **argv) +{ + int array[TREE_SIZE]; + int seed; + int iteration; + + if (argc == 2) + seed = atoi (argv[1]); + else + seed = time (0) * 257 % 32768; + + fputs ("Testing rb...\n", stdout); + + for (iteration = 1; iteration <= N_ITERATIONS; iteration++) + { + rb_tree *tree; + int i; + + printf ("Iteration %4d/%4d: seed=%5d", iteration, N_ITERATIONS, seed); + fflush (stdout); + + srand (seed++); + + for (i = 0; i < TREE_SIZE; i++) + array[i] = i; + shuffle (array, TREE_SIZE); + + tree = rb_create (compare_ints, NULL); + for (i = 0; i < TREE_SIZE; i++) + rb_force_insert (tree, (void *) (array[i])); + verify_tree (tree); + + shuffle (array, TREE_SIZE); + for (i = 0; i < TREE_SIZE; i++) + { + rb_tree *copy; + + rb_delete (tree, (void *) (array[i])); + verify_tree (tree); + + copy = rb_copy (tree, NULL); + verify_tree (copy); + compare_trees (tree->root.link[0], copy->root.link[0]); + rb_destroy (copy, NULL); + + if (i % 128 == 0) + { + putchar ('.'); + fflush (stdout); + } + } + fputs (" good.\n", stdout); + + rb_destroy (tree, NULL); + } + + return 0; +} +#endif /* SELF_TEST */ + +/* + Local variables: + compile-command: "gcc -DSELF_TEST=1 -W -Wall -I. -o ./rb-test rb.c" + End: +*/ |