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+/*************************************************
+* xfpt - Simple ASCII->Docbook processor *
+*************************************************/
+
+/* Copyright (c) University of Cambridge, 2006 */
+/* Written by Philip Hazel. */
+
+/* This module contains tree management routines. A tree is used for locally
+defined entity values. */
+
+#include "xfpt.h"
+
+
+/***********************************************************
+* Binary Balanced Tree Management Routines *
+***********************************************************/
+
+/* This set of routines maintains a balanced binary tree using
+the algorithm given in Knuth Vol 3 page 455.
+
+The routines make use of uschar * pointers as byte pointers,
+so as to be able to do arithmetic on them, since ANSI Standard
+C does not permit additions and subtractions on void pointers. */
+
+
+/*************************************************
+* Flags and Parameters *
+*************************************************/
+
+#define tree_lbal 1 /* left subtree is longer */
+#define tree_rbal 2 /* right subtree is longer */
+#define tree_bmask 3 /* mask for flipping bits */
+
+
+/*************************************************
+* Insert a new node into a tree *
+*************************************************/
+
+/* The node->name field must (obviously) be set, but the other
+fields need not be initialized.
+
+Arguments:
+ treebase pointer to the root of the tree
+ node the note to insert, with name field set
+
+Returns: TRUE if node inserted; FALSE if not (duplicate)
+*/
+
+int
+tree_insertnode(tree_node **treebase, tree_node *node)
+{
+tree_node *p = *treebase;
+tree_node **q, *r, *s, **t;
+int a;
+
+node->left = node->right = NULL;
+node->balance = 0;
+
+/* Deal with an empty tree */
+
+if (p == NULL)
+ {
+ *treebase = node;
+ return TRUE;
+ }
+
+/* The tree is not empty. While finding the insertion point,
+q points to the pointer to p, and t points to the pointer to
+the potential re-balancing point. */
+
+q = treebase;
+t = q;
+
+/* Loop to search tree for place to insert new node */
+
+for (;;)
+ {
+ int c = Ustrcmp(node->name, p->name);
+ if (c == 0) return FALSE; /* Duplicate node encountered */
+
+ /* Deal with climbing down the tree, exiting from the loop
+ when we reach a leaf. */
+
+ q = (c > 0)? &(p->right) : &(p->left);
+ p = *q;
+ if (p == NULL) break;
+
+ /* Save the address of the pointer to the last node en route
+ which has a non-zero balance factor. */
+
+ if (p->balance != 0) t = q;
+ }
+
+/* When the above loop completes, q points to the pointer to NULL;
+that is the place at which the new node must be inserted. */
+
+*q = node;
+
+/* Set up s as the potential re-balancing point, and r as the
+next node after it along the route. */
+
+s = *t;
+r = (Ustrcmp(node->name, s->name) > 0)? s->right : s->left;
+
+/* Adjust balance factors along the route from s to node. */
+
+p = r;
+
+while (p != node)
+ {
+ if (Ustrcmp(node->name, p->name) < 0)
+ {
+ p->balance = tree_lbal;
+ p = p->left;
+ }
+ else
+ {
+ p->balance = tree_rbal;
+ p = p->right;
+ }
+ }
+
+/* Now the World-Famous Balancing Act */
+
+a = (Ustrcmp(node->name, s->name) < 0)? tree_lbal : tree_rbal;
+
+if (s->balance == 0) s->balance = (uschar)a; /* The tree has grown higher */
+ else if (s->balance != (uschar)a) s->balance = 0; /* It's become more balanced */
+else /* It's got out of balance */
+ {
+ /* Perform a single rotation */
+
+ if (r->balance == (uschar)a)
+ {
+ p = r;
+ if (a == tree_rbal)
+ {
+ s->right = r->left;
+ r->left = s;
+ }
+ else
+ {
+ s->left = r->right;
+ r->right = s;
+ }
+ s->balance = 0;
+ r->balance = 0;
+ }
+
+ /* Perform a double rotation There was an occasion when the balancing
+ factors were screwed up by a bug in the code that reads a tree from
+ the spool. In case this ever happens again, check for changing p to NULL
+ and don't do it. It is better to have an unbalanced tree than a crash. */
+
+ else
+ {
+ if (a == tree_rbal)
+ {
+ if (r->left == NULL) return TRUE; /* Bail out if tree corrupt */
+ p = r->left;
+ r->left = p->right;
+ p->right = r;
+ s->right = p->left;
+ p->left = s;
+ }
+ else
+ {
+ if (r->right == NULL) return TRUE; /* Bail out if tree corrupt */
+ p = r->right;
+ r->right = p->left;
+ p->left = r;
+ s->left = p->right;
+ p->right = s;
+ }
+
+ s->balance = (p->balance == (uschar)a)? (uschar)(a^tree_bmask) : 0;
+ r->balance = (p->balance == (uschar)(a^tree_bmask))? (uschar)a : 0;
+ p->balance = 0;
+ }
+
+ /* Finishing touch */
+
+ *t = p;
+ }
+
+return TRUE; /* Successful insertion */
+}
+
+
+
+/*************************************************
+* Search tree for node by name *
+*************************************************/
+
+/*
+Arguments:
+ p root of tree
+ name key to search for
+
+Returns: pointer to node, or NULL if not found
+*/
+
+tree_node *
+tree_search(tree_node *p, uschar *name)
+{
+while (p != NULL)
+ {
+ int c = Ustrcmp(name, p->name);
+ if (c == 0) return p;
+ p = (c < 0)? p->left : p->right;
+ }
+return NULL;
+}
+
+
+/* End of tree.c */