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/* A splay-tree datatype.
/* A splay-tree datatype.
   Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
   Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
   Contributed by Mark Mitchell (mark@markmitchell.com).
   Contributed by Mark Mitchell (mark@markmitchell.com).
 
 
This file is part of GNU CC.
This file is part of GNU CC.
 
 
GNU CC is free software; you can redistribute it and/or modify it
GNU CC is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2, or (at your option)
the Free Software Foundation; either version 2, or (at your option)
any later version.
any later version.
 
 
GNU CC is distributed in the hope that it will be useful, but
GNU CC is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of
WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
General Public License for more details.
General Public License for more details.
 
 
You should have received a copy of the GNU General Public License
You should have received a copy of the GNU General Public License
along with GNU CC; see the file COPYING.  If not, write to
along with GNU CC; see the file COPYING.  If not, write to
the Free Software Foundation, 51 Franklin Street - Fifth Floor,
the Free Software Foundation, 51 Franklin Street - Fifth Floor,
Boston, MA 02110-1301, USA.  */
Boston, MA 02110-1301, USA.  */
 
 
/* For an easily readable description of splay-trees, see:
/* For an easily readable description of splay-trees, see:
 
 
     Lewis, Harry R. and Denenberg, Larry.  Data Structures and Their
     Lewis, Harry R. and Denenberg, Larry.  Data Structures and Their
     Algorithms.  Harper-Collins, Inc.  1991.  */
     Algorithms.  Harper-Collins, Inc.  1991.  */
 
 
#ifdef HAVE_CONFIG_H
#ifdef HAVE_CONFIG_H
#include "config.h"
#include "config.h"
#endif
#endif
 
 
#ifdef HAVE_STDLIB_H
#ifdef HAVE_STDLIB_H
#include <stdlib.h>
#include <stdlib.h>
#endif
#endif
 
 
#include <stdio.h>
#include <stdio.h>
 
 
#include "libiberty.h"
#include "libiberty.h"
#include "splay-tree.h"
#include "splay-tree.h"
 
 
static void splay_tree_delete_helper (splay_tree, splay_tree_node);
static void splay_tree_delete_helper (splay_tree, splay_tree_node);
static inline void rotate_left (splay_tree_node *,
static inline void rotate_left (splay_tree_node *,
                                splay_tree_node, splay_tree_node);
                                splay_tree_node, splay_tree_node);
static inline void rotate_right (splay_tree_node *,
static inline void rotate_right (splay_tree_node *,
                                splay_tree_node, splay_tree_node);
                                splay_tree_node, splay_tree_node);
static void splay_tree_splay (splay_tree, splay_tree_key);
static void splay_tree_splay (splay_tree, splay_tree_key);
static int splay_tree_foreach_helper (splay_tree, splay_tree_node,
static int splay_tree_foreach_helper (splay_tree, splay_tree_node,
                                      splay_tree_foreach_fn, void*);
                                      splay_tree_foreach_fn, void*);
 
 
/* Deallocate NODE (a member of SP), and all its sub-trees.  */
/* Deallocate NODE (a member of SP), and all its sub-trees.  */
 
 
static void
static void
splay_tree_delete_helper (splay_tree sp, splay_tree_node node)
splay_tree_delete_helper (splay_tree sp, splay_tree_node node)
{
{
  splay_tree_node pending = 0;
  splay_tree_node pending = 0;
  splay_tree_node active = 0;
  splay_tree_node active = 0;
 
 
  if (!node)
  if (!node)
    return;
    return;
 
 
#define KDEL(x)  if (sp->delete_key) (*sp->delete_key)(x);
#define KDEL(x)  if (sp->delete_key) (*sp->delete_key)(x);
#define VDEL(x)  if (sp->delete_value) (*sp->delete_value)(x);
#define VDEL(x)  if (sp->delete_value) (*sp->delete_value)(x);
 
 
  KDEL (node->key);
  KDEL (node->key);
  VDEL (node->value);
  VDEL (node->value);
 
 
  /* We use the "key" field to hold the "next" pointer.  */
  /* We use the "key" field to hold the "next" pointer.  */
  node->key = (splay_tree_key)pending;
  node->key = (splay_tree_key)pending;
  pending = (splay_tree_node)node;
  pending = (splay_tree_node)node;
 
 
  /* Now, keep processing the pending list until there aren't any
  /* Now, keep processing the pending list until there aren't any
     more.  This is a little more complicated than just recursing, but
     more.  This is a little more complicated than just recursing, but
     it doesn't toast the stack for large trees.  */
     it doesn't toast the stack for large trees.  */
 
 
  while (pending)
  while (pending)
    {
    {
      active = pending;
      active = pending;
      pending = 0;
      pending = 0;
      while (active)
      while (active)
        {
        {
          splay_tree_node temp;
          splay_tree_node temp;
 
 
          /* active points to a node which has its key and value
          /* active points to a node which has its key and value
             deallocated, we just need to process left and right.  */
             deallocated, we just need to process left and right.  */
 
 
          if (active->left)
          if (active->left)
            {
            {
              KDEL (active->left->key);
              KDEL (active->left->key);
              VDEL (active->left->value);
              VDEL (active->left->value);
              active->left->key = (splay_tree_key)pending;
              active->left->key = (splay_tree_key)pending;
              pending = (splay_tree_node)(active->left);
              pending = (splay_tree_node)(active->left);
            }
            }
          if (active->right)
          if (active->right)
            {
            {
              KDEL (active->right->key);
              KDEL (active->right->key);
              VDEL (active->right->value);
              VDEL (active->right->value);
              active->right->key = (splay_tree_key)pending;
              active->right->key = (splay_tree_key)pending;
              pending = (splay_tree_node)(active->right);
              pending = (splay_tree_node)(active->right);
            }
            }
 
 
          temp = active;
          temp = active;
          active = (splay_tree_node)(temp->key);
          active = (splay_tree_node)(temp->key);
          (*sp->deallocate) ((char*) temp, sp->allocate_data);
          (*sp->deallocate) ((char*) temp, sp->allocate_data);
        }
        }
    }
    }
#undef KDEL
#undef KDEL
#undef VDEL
#undef VDEL
}
}
 
 
/* Rotate the edge joining the left child N with its parent P.  PP is the
/* Rotate the edge joining the left child N with its parent P.  PP is the
   grandparents' pointer to P.  */
   grandparents' pointer to P.  */
 
 
static inline void
static inline void
rotate_left (splay_tree_node *pp, splay_tree_node p, splay_tree_node n)
rotate_left (splay_tree_node *pp, splay_tree_node p, splay_tree_node n)
{
{
  splay_tree_node tmp;
  splay_tree_node tmp;
  tmp = n->right;
  tmp = n->right;
  n->right = p;
  n->right = p;
  p->left = tmp;
  p->left = tmp;
  *pp = n;
  *pp = n;
}
}
 
 
/* Rotate the edge joining the right child N with its parent P.  PP is the
/* Rotate the edge joining the right child N with its parent P.  PP is the
   grandparents' pointer to P.  */
   grandparents' pointer to P.  */
 
 
static inline void
static inline void
rotate_right (splay_tree_node *pp, splay_tree_node p, splay_tree_node n)
rotate_right (splay_tree_node *pp, splay_tree_node p, splay_tree_node n)
{
{
  splay_tree_node tmp;
  splay_tree_node tmp;
  tmp = n->left;
  tmp = n->left;
  n->left = p;
  n->left = p;
  p->right = tmp;
  p->right = tmp;
  *pp = n;
  *pp = n;
}
}
 
 
/* Bottom up splay of key.  */
/* Bottom up splay of key.  */
 
 
static void
static void
splay_tree_splay (splay_tree sp, splay_tree_key key)
splay_tree_splay (splay_tree sp, splay_tree_key key)
{
{
  if (sp->root == 0)
  if (sp->root == 0)
    return;
    return;
 
 
  do {
  do {
    int cmp1, cmp2;
    int cmp1, cmp2;
    splay_tree_node n, c;
    splay_tree_node n, c;
 
 
    n = sp->root;
    n = sp->root;
    cmp1 = (*sp->comp) (key, n->key);
    cmp1 = (*sp->comp) (key, n->key);
 
 
    /* Found.  */
    /* Found.  */
    if (cmp1 == 0)
    if (cmp1 == 0)
      return;
      return;
 
 
    /* Left or right?  If no child, then we're done.  */
    /* Left or right?  If no child, then we're done.  */
    if (cmp1 < 0)
    if (cmp1 < 0)
      c = n->left;
      c = n->left;
    else
    else
      c = n->right;
      c = n->right;
    if (!c)
    if (!c)
      return;
      return;
 
 
    /* Next one left or right?  If found or no child, we're done
    /* Next one left or right?  If found or no child, we're done
       after one rotation.  */
       after one rotation.  */
    cmp2 = (*sp->comp) (key, c->key);
    cmp2 = (*sp->comp) (key, c->key);
    if (cmp2 == 0
    if (cmp2 == 0
        || (cmp2 < 0 && !c->left)
        || (cmp2 < 0 && !c->left)
        || (cmp2 > 0 && !c->right))
        || (cmp2 > 0 && !c->right))
      {
      {
        if (cmp1 < 0)
        if (cmp1 < 0)
          rotate_left (&sp->root, n, c);
          rotate_left (&sp->root, n, c);
        else
        else
          rotate_right (&sp->root, n, c);
          rotate_right (&sp->root, n, c);
        return;
        return;
      }
      }
 
 
    /* Now we have the four cases of double-rotation.  */
    /* Now we have the four cases of double-rotation.  */
    if (cmp1 < 0 && cmp2 < 0)
    if (cmp1 < 0 && cmp2 < 0)
      {
      {
        rotate_left (&n->left, c, c->left);
        rotate_left (&n->left, c, c->left);
        rotate_left (&sp->root, n, n->left);
        rotate_left (&sp->root, n, n->left);
      }
      }
    else if (cmp1 > 0 && cmp2 > 0)
    else if (cmp1 > 0 && cmp2 > 0)
      {
      {
        rotate_right (&n->right, c, c->right);
        rotate_right (&n->right, c, c->right);
        rotate_right (&sp->root, n, n->right);
        rotate_right (&sp->root, n, n->right);
      }
      }
    else if (cmp1 < 0 && cmp2 > 0)
    else if (cmp1 < 0 && cmp2 > 0)
      {
      {
        rotate_right (&n->left, c, c->right);
        rotate_right (&n->left, c, c->right);
        rotate_left (&sp->root, n, n->left);
        rotate_left (&sp->root, n, n->left);
      }
      }
    else if (cmp1 > 0 && cmp2 < 0)
    else if (cmp1 > 0 && cmp2 < 0)
      {
      {
        rotate_left (&n->right, c, c->left);
        rotate_left (&n->right, c, c->left);
        rotate_right (&sp->root, n, n->right);
        rotate_right (&sp->root, n, n->right);
      }
      }
  } while (1);
  } while (1);
}
}
 
 
/* Call FN, passing it the DATA, for every node below NODE, all of
/* Call FN, passing it the DATA, for every node below NODE, all of
   which are from SP, following an in-order traversal.  If FN every
   which are from SP, following an in-order traversal.  If FN every
   returns a non-zero value, the iteration ceases immediately, and the
   returns a non-zero value, the iteration ceases immediately, and the
   value is returned.  Otherwise, this function returns 0.  */
   value is returned.  Otherwise, this function returns 0.  */
 
 
static int
static int
splay_tree_foreach_helper (splay_tree sp, splay_tree_node node,
splay_tree_foreach_helper (splay_tree sp, splay_tree_node node,
                           splay_tree_foreach_fn fn, void *data)
                           splay_tree_foreach_fn fn, void *data)
{
{
  int val;
  int val;
 
 
  if (!node)
  if (!node)
    return 0;
    return 0;
 
 
  val = splay_tree_foreach_helper (sp, node->left, fn, data);
  val = splay_tree_foreach_helper (sp, node->left, fn, data);
  if (val)
  if (val)
    return val;
    return val;
 
 
  val = (*fn)(node, data);
  val = (*fn)(node, data);
  if (val)
  if (val)
    return val;
    return val;
 
 
  return splay_tree_foreach_helper (sp, node->right, fn, data);
  return splay_tree_foreach_helper (sp, node->right, fn, data);
}
}
 
 
 
 
/* An allocator and deallocator based on xmalloc.  */
/* An allocator and deallocator based on xmalloc.  */
static void *
static void *
splay_tree_xmalloc_allocate (int size, void *data ATTRIBUTE_UNUSED)
splay_tree_xmalloc_allocate (int size, void *data ATTRIBUTE_UNUSED)
{
{
  return (void *) xmalloc (size);
  return (void *) xmalloc (size);
}
}
 
 
static void
static void
splay_tree_xmalloc_deallocate (void *object, void *data ATTRIBUTE_UNUSED)
splay_tree_xmalloc_deallocate (void *object, void *data ATTRIBUTE_UNUSED)
{
{
  free (object);
  free (object);
}
}
 
 
 
 
/* Allocate a new splay tree, using COMPARE_FN to compare nodes,
/* Allocate a new splay tree, using COMPARE_FN to compare nodes,
   DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate
   DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate
   values.  Use xmalloc to allocate the splay tree structure, and any
   values.  Use xmalloc to allocate the splay tree structure, and any
   nodes added.  */
   nodes added.  */
 
 
splay_tree
splay_tree
splay_tree_new (splay_tree_compare_fn compare_fn,
splay_tree_new (splay_tree_compare_fn compare_fn,
                splay_tree_delete_key_fn delete_key_fn,
                splay_tree_delete_key_fn delete_key_fn,
                splay_tree_delete_value_fn delete_value_fn)
                splay_tree_delete_value_fn delete_value_fn)
{
{
  return (splay_tree_new_with_allocator
  return (splay_tree_new_with_allocator
          (compare_fn, delete_key_fn, delete_value_fn,
          (compare_fn, delete_key_fn, delete_value_fn,
           splay_tree_xmalloc_allocate, splay_tree_xmalloc_deallocate, 0));
           splay_tree_xmalloc_allocate, splay_tree_xmalloc_deallocate, 0));
}
}
 
 
 
 
/* Allocate a new splay tree, using COMPARE_FN to compare nodes,
/* Allocate a new splay tree, using COMPARE_FN to compare nodes,
   DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate
   DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate
   values.  */
   values.  */
 
 
splay_tree
splay_tree
splay_tree_new_with_allocator (splay_tree_compare_fn compare_fn,
splay_tree_new_with_allocator (splay_tree_compare_fn compare_fn,
                               splay_tree_delete_key_fn delete_key_fn,
                               splay_tree_delete_key_fn delete_key_fn,
                               splay_tree_delete_value_fn delete_value_fn,
                               splay_tree_delete_value_fn delete_value_fn,
                               splay_tree_allocate_fn allocate_fn,
                               splay_tree_allocate_fn allocate_fn,
                               splay_tree_deallocate_fn deallocate_fn,
                               splay_tree_deallocate_fn deallocate_fn,
                               void *allocate_data)
                               void *allocate_data)
{
{
  splay_tree sp = (splay_tree) (*allocate_fn) (sizeof (struct splay_tree_s),
  splay_tree sp = (splay_tree) (*allocate_fn) (sizeof (struct splay_tree_s),
                                               allocate_data);
                                               allocate_data);
  sp->root = 0;
  sp->root = 0;
  sp->comp = compare_fn;
  sp->comp = compare_fn;
  sp->delete_key = delete_key_fn;
  sp->delete_key = delete_key_fn;
  sp->delete_value = delete_value_fn;
  sp->delete_value = delete_value_fn;
  sp->allocate = allocate_fn;
  sp->allocate = allocate_fn;
  sp->deallocate = deallocate_fn;
  sp->deallocate = deallocate_fn;
  sp->allocate_data = allocate_data;
  sp->allocate_data = allocate_data;
 
 
  return sp;
  return sp;
}
}
 
 
/* Deallocate SP.  */
/* Deallocate SP.  */
 
 
void
void
splay_tree_delete (splay_tree sp)
splay_tree_delete (splay_tree sp)
{
{
  splay_tree_delete_helper (sp, sp->root);
  splay_tree_delete_helper (sp, sp->root);
  (*sp->deallocate) ((char*) sp, sp->allocate_data);
  (*sp->deallocate) ((char*) sp, sp->allocate_data);
}
}
 
 
/* Insert a new node (associating KEY with DATA) into SP.  If a
/* Insert a new node (associating KEY with DATA) into SP.  If a
   previous node with the indicated KEY exists, its data is replaced
   previous node with the indicated KEY exists, its data is replaced
   with the new value.  Returns the new node.  */
   with the new value.  Returns the new node.  */
 
 
splay_tree_node
splay_tree_node
splay_tree_insert (splay_tree sp, splay_tree_key key, splay_tree_value value)
splay_tree_insert (splay_tree sp, splay_tree_key key, splay_tree_value value)
{
{
  int comparison = 0;
  int comparison = 0;
 
 
  splay_tree_splay (sp, key);
  splay_tree_splay (sp, key);
 
 
  if (sp->root)
  if (sp->root)
    comparison = (*sp->comp)(sp->root->key, key);
    comparison = (*sp->comp)(sp->root->key, key);
 
 
  if (sp->root && comparison == 0)
  if (sp->root && comparison == 0)
    {
    {
      /* If the root of the tree already has the indicated KEY, just
      /* If the root of the tree already has the indicated KEY, just
         replace the value with VALUE.  */
         replace the value with VALUE.  */
      if (sp->delete_value)
      if (sp->delete_value)
        (*sp->delete_value)(sp->root->value);
        (*sp->delete_value)(sp->root->value);
      sp->root->value = value;
      sp->root->value = value;
    }
    }
  else
  else
    {
    {
      /* Create a new node, and insert it at the root.  */
      /* Create a new node, and insert it at the root.  */
      splay_tree_node node;
      splay_tree_node node;
 
 
      node = ((splay_tree_node)
      node = ((splay_tree_node)
              (*sp->allocate) (sizeof (struct splay_tree_node_s),
              (*sp->allocate) (sizeof (struct splay_tree_node_s),
                               sp->allocate_data));
                               sp->allocate_data));
      node->key = key;
      node->key = key;
      node->value = value;
      node->value = value;
 
 
      if (!sp->root)
      if (!sp->root)
        node->left = node->right = 0;
        node->left = node->right = 0;
      else if (comparison < 0)
      else if (comparison < 0)
        {
        {
          node->left = sp->root;
          node->left = sp->root;
          node->right = node->left->right;
          node->right = node->left->right;
          node->left->right = 0;
          node->left->right = 0;
        }
        }
      else
      else
        {
        {
          node->right = sp->root;
          node->right = sp->root;
          node->left = node->right->left;
          node->left = node->right->left;
          node->right->left = 0;
          node->right->left = 0;
        }
        }
 
 
      sp->root = node;
      sp->root = node;
    }
    }
 
 
  return sp->root;
  return sp->root;
}
}
 
 
/* Remove KEY from SP.  It is not an error if it did not exist.  */
/* Remove KEY from SP.  It is not an error if it did not exist.  */
 
 
void
void
splay_tree_remove (splay_tree sp, splay_tree_key key)
splay_tree_remove (splay_tree sp, splay_tree_key key)
{
{
  splay_tree_splay (sp, key);
  splay_tree_splay (sp, key);
 
 
  if (sp->root && (*sp->comp) (sp->root->key, key) == 0)
  if (sp->root && (*sp->comp) (sp->root->key, key) == 0)
    {
    {
      splay_tree_node left, right;
      splay_tree_node left, right;
 
 
      left = sp->root->left;
      left = sp->root->left;
      right = sp->root->right;
      right = sp->root->right;
 
 
      /* Delete the root node itself.  */
      /* Delete the root node itself.  */
      if (sp->delete_value)
      if (sp->delete_value)
        (*sp->delete_value) (sp->root->value);
        (*sp->delete_value) (sp->root->value);
      (*sp->deallocate) (sp->root, sp->allocate_data);
      (*sp->deallocate) (sp->root, sp->allocate_data);
 
 
      /* One of the children is now the root.  Doesn't matter much
      /* One of the children is now the root.  Doesn't matter much
         which, so long as we preserve the properties of the tree.  */
         which, so long as we preserve the properties of the tree.  */
      if (left)
      if (left)
        {
        {
          sp->root = left;
          sp->root = left;
 
 
          /* If there was a right child as well, hang it off the
          /* If there was a right child as well, hang it off the
             right-most leaf of the left child.  */
             right-most leaf of the left child.  */
          if (right)
          if (right)
            {
            {
              while (left->right)
              while (left->right)
                left = left->right;
                left = left->right;
              left->right = right;
              left->right = right;
            }
            }
        }
        }
      else
      else
        sp->root = right;
        sp->root = right;
    }
    }
}
}
 
 
/* Lookup KEY in SP, returning VALUE if present, and NULL
/* Lookup KEY in SP, returning VALUE if present, and NULL
   otherwise.  */
   otherwise.  */
 
 
splay_tree_node
splay_tree_node
splay_tree_lookup (splay_tree sp, splay_tree_key key)
splay_tree_lookup (splay_tree sp, splay_tree_key key)
{
{
  splay_tree_splay (sp, key);
  splay_tree_splay (sp, key);
 
 
  if (sp->root && (*sp->comp)(sp->root->key, key) == 0)
  if (sp->root && (*sp->comp)(sp->root->key, key) == 0)
    return sp->root;
    return sp->root;
  else
  else
    return 0;
    return 0;
}
}
 
 
/* Return the node in SP with the greatest key.  */
/* Return the node in SP with the greatest key.  */
 
 
splay_tree_node
splay_tree_node
splay_tree_max (splay_tree sp)
splay_tree_max (splay_tree sp)
{
{
  splay_tree_node n = sp->root;
  splay_tree_node n = sp->root;
 
 
  if (!n)
  if (!n)
    return NULL;
    return NULL;
 
 
  while (n->right)
  while (n->right)
    n = n->right;
    n = n->right;
 
 
  return n;
  return n;
}
}
 
 
/* Return the node in SP with the smallest key.  */
/* Return the node in SP with the smallest key.  */
 
 
splay_tree_node
splay_tree_node
splay_tree_min (splay_tree sp)
splay_tree_min (splay_tree sp)
{
{
  splay_tree_node n = sp->root;
  splay_tree_node n = sp->root;
 
 
  if (!n)
  if (!n)
    return NULL;
    return NULL;
 
 
  while (n->left)
  while (n->left)
    n = n->left;
    n = n->left;
 
 
  return n;
  return n;
}
}
 
 
/* Return the immediate predecessor KEY, or NULL if there is no
/* Return the immediate predecessor KEY, or NULL if there is no
   predecessor.  KEY need not be present in the tree.  */
   predecessor.  KEY need not be present in the tree.  */
 
 
splay_tree_node
splay_tree_node
splay_tree_predecessor (splay_tree sp, splay_tree_key key)
splay_tree_predecessor (splay_tree sp, splay_tree_key key)
{
{
  int comparison;
  int comparison;
  splay_tree_node node;
  splay_tree_node node;
 
 
  /* If the tree is empty, there is certainly no predecessor.  */
  /* If the tree is empty, there is certainly no predecessor.  */
  if (!sp->root)
  if (!sp->root)
    return NULL;
    return NULL;
 
 
  /* Splay the tree around KEY.  That will leave either the KEY
  /* Splay the tree around KEY.  That will leave either the KEY
     itself, its predecessor, or its successor at the root.  */
     itself, its predecessor, or its successor at the root.  */
  splay_tree_splay (sp, key);
  splay_tree_splay (sp, key);
  comparison = (*sp->comp)(sp->root->key, key);
  comparison = (*sp->comp)(sp->root->key, key);
 
 
  /* If the predecessor is at the root, just return it.  */
  /* If the predecessor is at the root, just return it.  */
  if (comparison < 0)
  if (comparison < 0)
    return sp->root;
    return sp->root;
 
 
  /* Otherwise, find the rightmost element of the left subtree.  */
  /* Otherwise, find the rightmost element of the left subtree.  */
  node = sp->root->left;
  node = sp->root->left;
  if (node)
  if (node)
    while (node->right)
    while (node->right)
      node = node->right;
      node = node->right;
 
 
  return node;
  return node;
}
}
 
 
/* Return the immediate successor KEY, or NULL if there is no
/* Return the immediate successor KEY, or NULL if there is no
   successor.  KEY need not be present in the tree.  */
   successor.  KEY need not be present in the tree.  */
 
 
splay_tree_node
splay_tree_node
splay_tree_successor (splay_tree sp, splay_tree_key key)
splay_tree_successor (splay_tree sp, splay_tree_key key)
{
{
  int comparison;
  int comparison;
  splay_tree_node node;
  splay_tree_node node;
 
 
  /* If the tree is empty, there is certainly no successor.  */
  /* If the tree is empty, there is certainly no successor.  */
  if (!sp->root)
  if (!sp->root)
    return NULL;
    return NULL;
 
 
  /* Splay the tree around KEY.  That will leave either the KEY
  /* Splay the tree around KEY.  That will leave either the KEY
     itself, its predecessor, or its successor at the root.  */
     itself, its predecessor, or its successor at the root.  */
  splay_tree_splay (sp, key);
  splay_tree_splay (sp, key);
  comparison = (*sp->comp)(sp->root->key, key);
  comparison = (*sp->comp)(sp->root->key, key);
 
 
  /* If the successor is at the root, just return it.  */
  /* If the successor is at the root, just return it.  */
  if (comparison > 0)
  if (comparison > 0)
    return sp->root;
    return sp->root;
 
 
  /* Otherwise, find the leftmost element of the right subtree.  */
  /* Otherwise, find the leftmost element of the right subtree.  */
  node = sp->root->right;
  node = sp->root->right;
  if (node)
  if (node)
    while (node->left)
    while (node->left)
      node = node->left;
      node = node->left;
 
 
  return node;
  return node;
}
}
 
 
/* Call FN, passing it the DATA, for every node in SP, following an
/* Call FN, passing it the DATA, for every node in SP, following an
   in-order traversal.  If FN every returns a non-zero value, the
   in-order traversal.  If FN every returns a non-zero value, the
   iteration ceases immediately, and the value is returned.
   iteration ceases immediately, and the value is returned.
   Otherwise, this function returns 0.  */
   Otherwise, this function returns 0.  */
 
 
int
int
splay_tree_foreach (splay_tree sp, splay_tree_foreach_fn fn, void *data)
splay_tree_foreach (splay_tree sp, splay_tree_foreach_fn fn, void *data)
{
{
  return splay_tree_foreach_helper (sp, sp->root, fn, data);
  return splay_tree_foreach_helper (sp, sp->root, fn, data);
}
}
 
 
/* Splay-tree comparison function, treating the keys as ints.  */
/* Splay-tree comparison function, treating the keys as ints.  */
 
 
int
int
splay_tree_compare_ints (splay_tree_key k1, splay_tree_key k2)
splay_tree_compare_ints (splay_tree_key k1, splay_tree_key k2)
{
{
  if ((int) k1 < (int) k2)
  if ((int) k1 < (int) k2)
    return -1;
    return -1;
  else if ((int) k1 > (int) k2)
  else if ((int) k1 > (int) k2)
    return 1;
    return 1;
  else
  else
    return 0;
    return 0;
}
}
 
 
/* Splay-tree comparison function, treating the keys as pointers.  */
/* Splay-tree comparison function, treating the keys as pointers.  */
 
 
int
int
splay_tree_compare_pointers (splay_tree_key k1, splay_tree_key k2)
splay_tree_compare_pointers (splay_tree_key k1, splay_tree_key k2)
{
{
  if ((char*) k1 < (char*) k2)
  if ((char*) k1 < (char*) k2)
    return -1;
    return -1;
  else if ((char*) k1 > (char*) k2)
  else if ((char*) k1 > (char*) k2)
    return 1;
    return 1;
  else
  else
    return 0;
    return 0;
}
}
 
 

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