/* gtkrbtree.c * Copyright (C) 2000 Red Hat, Inc., Jonathan Blandford * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Library General Public * License as published by the Free Software Foundation; either * version 2 of the License, or (at your option) any later version. * * This library 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 * Library General Public License for more details. * * You should have received a copy of the GNU Library General Public * License along with this library; if not, write to the * Free Software Foundation, Inc., 59 Temple Place - Suite 330, * Boston, MA 02111-1307, USA. */ #include "config.h" #include "gtkrbtree.h" #include "gtkdebug.h" #include "gtkalias.h" static GtkRBNode * _gtk_rbnode_new (GtkRBTree *tree, gint height); static void _gtk_rbnode_free (GtkRBNode *node); static void _gtk_rbnode_rotate_left (GtkRBTree *tree, GtkRBNode *node); static void _gtk_rbnode_rotate_right (GtkRBTree *tree, GtkRBNode *node); static void _gtk_rbtree_insert_fixup (GtkRBTree *tree, GtkRBNode *node); static void _gtk_rbtree_remove_node_fixup (GtkRBTree *tree, GtkRBNode *node); static inline void _fixup_validation (GtkRBTree *tree, GtkRBNode *node); static inline void _fixup_parity (GtkRBTree *tree, GtkRBNode *node); static GtkRBNode * _gtk_rbnode_new (GtkRBTree *tree, gint height) { GtkRBNode *node = g_slice_new (GtkRBNode); node->left = tree->nil; node->right = tree->nil; node->parent = tree->nil; node->flags = GTK_RBNODE_RED; node->parity = 1; node->count = 1; node->children = NULL; node->offset = height; return node; } static void _gtk_rbnode_free (GtkRBNode *node) { if (gtk_debug_flags & GTK_DEBUG_TREE) { node->left = (gpointer) 0xdeadbeef; node->right = (gpointer) 0xdeadbeef; node->parent = (gpointer) 0xdeadbeef; node->offset = 56789; node->count = 56789; node->flags = 0; } g_slice_free (GtkRBNode, node); } static void _gtk_rbnode_rotate_left (GtkRBTree *tree, GtkRBNode *node) { gint node_height, right_height; GtkRBNode *right = node->right; g_return_if_fail (node != tree->nil); node_height = node->offset - (node->left?node->left->offset:0) - (node->right?node->right->offset:0) - (node->children?node->children->root->offset:0); right_height = right->offset - (right->left?right->left->offset:0) - (right->right?right->right->offset:0) - (right->children?right->children->root->offset:0); node->right = right->left; if (right->left != tree->nil) right->left->parent = node; if (right != tree->nil) right->parent = node->parent; if (node->parent != tree->nil) { if (node == node->parent->left) node->parent->left = right; else node->parent->right = right; } else { tree->root = right; } right->left = node; if (node != tree->nil) node->parent = right; node->count = 1 + (node->left?node->left->count:0) + (node->right?node->right->count:0); right->count = 1 + (right->left?right->left->count:0) + (right->right?right->right->count:0); node->offset = node_height + (node->left?node->left->offset:0) + (node->right?node->right->offset:0) + (node->children?node->children->root->offset:0); right->offset = right_height + (right->left?right->left->offset:0) + (right->right?right->right->offset:0) + (right->children?right->children->root->offset:0); _fixup_validation (tree, node); _fixup_validation (tree, right); _fixup_parity (tree, node); _fixup_parity (tree, right); } static void _gtk_rbnode_rotate_right (GtkRBTree *tree, GtkRBNode *node) { gint node_height, left_height; GtkRBNode *left = node->left; g_return_if_fail (node != tree->nil); node_height = node->offset - (node->left?node->left->offset:0) - (node->right?node->right->offset:0) - (node->children?node->children->root->offset:0); left_height = left->offset - (left->left?left->left->offset:0) - (left->right?left->right->offset:0) - (left->children?left->children->root->offset:0); node->left = left->right; if (left->right != tree->nil) left->right->parent = node; if (left != tree->nil) left->parent = node->parent; if (node->parent != tree->nil) { if (node == node->parent->right) node->parent->right = left; else node->parent->left = left; } else { tree->root = left; } /* link node and left */ left->right = node; if (node != tree->nil) node->parent = left; node->count = 1 + (node->left?node->left->count:0) + (node->right?node->right->count:0); left->count = 1 + (left->left?left->left->count:0) + (left->right?left->right->count:0); node->offset = node_height + (node->left?node->left->offset:0) + (node->right?node->right->offset:0) + (node->children?node->children->root->offset:0); left->offset = left_height + (left->left?left->left->offset:0) + (left->right?left->right->offset:0) + (left->children?left->children->root->offset:0); _fixup_validation (tree, node); _fixup_validation (tree, left); _fixup_parity (tree, node); _fixup_parity (tree, left); } static void _gtk_rbtree_insert_fixup (GtkRBTree *tree, GtkRBNode *node) { /* check Red-Black properties */ while (node != tree->root && GTK_RBNODE_GET_COLOR (node->parent) == GTK_RBNODE_RED) { /* we have a violation */ if (node->parent == node->parent->parent->left) { GtkRBNode *y = node->parent->parent->right; if (GTK_RBNODE_GET_COLOR (y) == GTK_RBNODE_RED) { /* uncle is GTK_RBNODE_RED */ GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (y, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (node->parent->parent, GTK_RBNODE_RED); node = node->parent->parent; } else { /* uncle is GTK_RBNODE_BLACK */ if (node == node->parent->right) { /* make node a left child */ node = node->parent; _gtk_rbnode_rotate_left (tree, node); } /* recolor and rotate */ GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (node->parent->parent, GTK_RBNODE_RED); _gtk_rbnode_rotate_right(tree, node->parent->parent); } } else { /* mirror image of above code */ GtkRBNode *y = node->parent->parent->left; if (GTK_RBNODE_GET_COLOR (y) == GTK_RBNODE_RED) { /* uncle is GTK_RBNODE_RED */ GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (y, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (node->parent->parent, GTK_RBNODE_RED); node = node->parent->parent; } else { /* uncle is GTK_RBNODE_BLACK */ if (node == node->parent->left) { node = node->parent; _gtk_rbnode_rotate_right (tree, node); } GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (node->parent->parent, GTK_RBNODE_RED); _gtk_rbnode_rotate_left (tree, node->parent->parent); } } } GTK_RBNODE_SET_COLOR (tree->root, GTK_RBNODE_BLACK); } static void _gtk_rbtree_remove_node_fixup (GtkRBTree *tree, GtkRBNode *node) { while (node != tree->root && GTK_RBNODE_GET_COLOR (node) == GTK_RBNODE_BLACK) { if (node == node->parent->left) { GtkRBNode *w = node->parent->right; if (GTK_RBNODE_GET_COLOR (w) == GTK_RBNODE_RED) { GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_RED); _gtk_rbnode_rotate_left (tree, node->parent); w = node->parent->right; } if (GTK_RBNODE_GET_COLOR (w->left) == GTK_RBNODE_BLACK && GTK_RBNODE_GET_COLOR (w->right) == GTK_RBNODE_BLACK) { GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_RED); node = node->parent; } else { if (GTK_RBNODE_GET_COLOR (w->right) == GTK_RBNODE_BLACK) { GTK_RBNODE_SET_COLOR (w->left, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_RED); _gtk_rbnode_rotate_right (tree, w); w = node->parent->right; } GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_GET_COLOR (node->parent)); GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (w->right, GTK_RBNODE_BLACK); _gtk_rbnode_rotate_left (tree, node->parent); node = tree->root; } } else { GtkRBNode *w = node->parent->left; if (GTK_RBNODE_GET_COLOR (w) == GTK_RBNODE_RED) { GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_RED); _gtk_rbnode_rotate_right (tree, node->parent); w = node->parent->left; } if (GTK_RBNODE_GET_COLOR (w->right) == GTK_RBNODE_BLACK && GTK_RBNODE_GET_COLOR (w->left) == GTK_RBNODE_BLACK) { GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_RED); node = node->parent; } else { if (GTK_RBNODE_GET_COLOR (w->left) == GTK_RBNODE_BLACK) { GTK_RBNODE_SET_COLOR (w->right, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_RED); _gtk_rbnode_rotate_left (tree, w); w = node->parent->left; } GTK_RBNODE_SET_COLOR (w, GTK_RBNODE_GET_COLOR (node->parent)); GTK_RBNODE_SET_COLOR (node->parent, GTK_RBNODE_BLACK); GTK_RBNODE_SET_COLOR (w->left, GTK_RBNODE_BLACK); _gtk_rbnode_rotate_right (tree, node->parent); node = tree->root; } } } GTK_RBNODE_SET_COLOR (node, GTK_RBNODE_BLACK); } GtkRBTree * _gtk_rbtree_new (void) { GtkRBTree *retval; retval = g_new (GtkRBTree, 1); retval->parent_tree = NULL; retval->parent_node = NULL; retval->nil = g_slice_new (GtkRBNode); retval->nil->left = NULL; retval->nil->right = NULL; retval->nil->parent = NULL; retval->nil->flags = GTK_RBNODE_BLACK; retval->nil->count = 0; retval->nil->offset = 0; retval->nil->parity = 0; retval->root = retval->nil; return retval; } static void _gtk_rbtree_free_helper (GtkRBTree *tree, GtkRBNode *node, gpointer data) { if (node->children) _gtk_rbtree_free (node->children); _gtk_rbnode_free (node); } void _gtk_rbtree_free (GtkRBTree *tree) { _gtk_rbtree_traverse (tree, tree->root, G_POST_ORDER, _gtk_rbtree_free_helper, NULL); if (tree->parent_node && tree->parent_node->children == tree) tree->parent_node->children = NULL; _gtk_rbnode_free (tree->nil); g_free (tree); } void _gtk_rbtree_remove (GtkRBTree *tree) { GtkRBTree *tmp_tree; GtkRBNode *tmp_node; gint height = tree->root->offset; #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) _gtk_rbtree_test (G_STRLOC, tree); #endif tmp_tree = tree->parent_tree; tmp_node = tree->parent_node; /* ugly hack to make _fixup_validation work in the first iteration of the * loop below */ GTK_RBNODE_UNSET_FLAG (tree->root, GTK_RBNODE_DESCENDANTS_INVALID); while (tmp_tree && tmp_node && tmp_node != tmp_tree->nil) { _fixup_validation (tmp_tree, tmp_node); tmp_node->offset -= height; /* If the removed tree was odd, flip all parents */ if (tree->root->parity) tmp_node->parity = !tmp_node->parity; tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } tmp_tree = tree->parent_tree; tmp_node = tree->parent_node; _gtk_rbtree_free (tree); #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) _gtk_rbtree_test (G_STRLOC, tmp_tree); #endif } GtkRBNode * _gtk_rbtree_insert_after (GtkRBTree *tree, GtkRBNode *current, gint height, gboolean valid) { GtkRBNode *node; gboolean right = TRUE; GtkRBNode *tmp_node; GtkRBTree *tmp_tree; #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) { g_print ("\n\n_gtk_rbtree_insert_after: %p\n", current); _gtk_rbtree_debug_spew (tree); _gtk_rbtree_test (G_STRLOC, tree); } #endif /* G_ENABLE_DEBUG */ if (current != NULL && current->right != tree->nil) { current = current->right; while (current->left != tree->nil) current = current->left; right = FALSE; } /* setup new node */ node = _gtk_rbnode_new (tree, height); node->parent = (current?current:tree->nil); /* insert node in tree */ if (current) { if (right) current->right = node; else current->left = node; tmp_node = node->parent; tmp_tree = tree; } else { tree->root = node; tmp_node = tree->parent_node; tmp_tree = tree->parent_tree; } while (tmp_tree && tmp_node && tmp_node != tmp_tree->nil) { /* We only want to propagate the count if we are in the tree we * started in. */ if (tmp_tree == tree) tmp_node->count++; tmp_node->parity += 1; tmp_node->offset += height; tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } if (valid) _gtk_rbtree_node_mark_valid (tree, node); else _gtk_rbtree_node_mark_invalid (tree, node); _gtk_rbtree_insert_fixup (tree, node); #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) { g_print ("_gtk_rbtree_insert_after finished...\n"); _gtk_rbtree_debug_spew (tree); g_print ("\n\n"); _gtk_rbtree_test (G_STRLOC, tree); } #endif /* G_ENABLE_DEBUG */ return node; } GtkRBNode * _gtk_rbtree_insert_before (GtkRBTree *tree, GtkRBNode *current, gint height, gboolean valid) { GtkRBNode *node; gboolean left = TRUE; GtkRBNode *tmp_node; GtkRBTree *tmp_tree; #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) { g_print ("\n\n_gtk_rbtree_insert_before: %p\n", current); _gtk_rbtree_debug_spew (tree); _gtk_rbtree_test (G_STRLOC, tree); } #endif /* G_ENABLE_DEBUG */ if (current != NULL && current->left != tree->nil) { current = current->left; while (current->right != tree->nil) current = current->right; left = FALSE; } /* setup new node */ node = _gtk_rbnode_new (tree, height); node->parent = (current?current:tree->nil); /* insert node in tree */ if (current) { if (left) current->left = node; else current->right = node; tmp_node = node->parent; tmp_tree = tree; } else { tree->root = node; tmp_node = tree->parent_node; tmp_tree = tree->parent_tree; } while (tmp_tree && tmp_node && tmp_node != tmp_tree->nil) { /* We only want to propagate the count if we are in the tree we * started in. */ if (tmp_tree == tree) tmp_node->count++; tmp_node->parity += 1; tmp_node->offset += height; tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } if (valid) _gtk_rbtree_node_mark_valid (tree, node); else _gtk_rbtree_node_mark_invalid (tree, node); _gtk_rbtree_insert_fixup (tree, node); #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) { g_print ("_gtk_rbtree_insert_before finished...\n"); _gtk_rbtree_debug_spew (tree); g_print ("\n\n"); _gtk_rbtree_test (G_STRLOC, tree); } #endif /* G_ENABLE_DEBUG */ return node; } GtkRBNode * _gtk_rbtree_find_count (GtkRBTree *tree, gint count) { GtkRBNode *node; node = tree->root; while (node != tree->nil && (node->left->count + 1 != count)) { if (node->left->count >= count) node = node->left; else { count -= (node->left->count + 1); node = node->right; } } if (node == tree->nil) return NULL; return node; } void _gtk_rbtree_node_set_height (GtkRBTree *tree, GtkRBNode *node, gint height) { gint diff = height - GTK_RBNODE_GET_HEIGHT (node); GtkRBNode *tmp_node = node; GtkRBTree *tmp_tree = tree; if (diff == 0) return; while (tmp_tree && tmp_node && tmp_node != tmp_tree->nil) { tmp_node->offset += diff; tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) _gtk_rbtree_test (G_STRLOC, tree); #endif } void _gtk_rbtree_node_mark_invalid (GtkRBTree *tree, GtkRBNode *node) { if (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID)) return; GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_INVALID); do { if (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_DESCENDANTS_INVALID)) return; GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); node = node->parent; if (node == tree->nil) { node = tree->parent_node; tree = tree->parent_tree; } } while (node); } #if 0 /* Draconian version. */ void _gtk_rbtree_node_mark_invalid (GtkRBTree *tree, GtkRBNode *node) { GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_INVALID); do { _fixup_validation (tree, node); node = node->parent; if (node == tree->nil) { node = tree->parent_node; tree = tree->parent_tree; } } while (node); } #endif void _gtk_rbtree_node_mark_valid (GtkRBTree *tree, GtkRBNode *node) { if ((!GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID)) && (!GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_COLUMN_INVALID))) return; GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_INVALID); GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_COLUMN_INVALID); do { if ((GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID)) || (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_COLUMN_INVALID)) || (node->children && GTK_RBNODE_FLAG_SET (node->children->root, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->left != tree->nil && GTK_RBNODE_FLAG_SET (node->left, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->right != tree->nil && GTK_RBNODE_FLAG_SET (node->right, GTK_RBNODE_DESCENDANTS_INVALID))) return; GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); node = node->parent; if (node == tree->nil) { node = tree->parent_node; tree = tree->parent_tree; } } while (node); } #if 0 /* Draconian version */ void _gtk_rbtree_node_mark_valid (GtkRBTree *tree, GtkRBNode *node) { GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_INVALID); GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_COLUMN_INVALID); do { _fixup_validation (tree, node); node = node->parent; if (node == tree->nil) { node = tree->parent_node; tree = tree->parent_tree; } } while (node); } #endif /* Assume tree is the root node as it doesn't set DESCENDANTS_INVALID above. */ void _gtk_rbtree_column_invalid (GtkRBTree *tree) { GtkRBNode *node; if (tree == NULL) return; node = tree->root; g_assert (node); while (node->left != tree->nil) node = node->left; do { if (! (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID))) GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_COLUMN_INVALID); GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); if (node->children) _gtk_rbtree_column_invalid (node->children); } while ((node = _gtk_rbtree_next (tree, node)) != NULL); } void _gtk_rbtree_mark_invalid (GtkRBTree *tree) { GtkRBNode *node; if (tree == NULL) return; node = tree->root; g_assert (node); while (node->left != tree->nil) node = node->left; do { GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_INVALID); GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); if (node->children) _gtk_rbtree_mark_invalid (node->children); } while ((node = _gtk_rbtree_next (tree, node)) != NULL); } void _gtk_rbtree_set_fixed_height (GtkRBTree *tree, gint height, gboolean mark_valid) { GtkRBNode *node; if (tree == NULL) return; node = tree->root; g_assert (node); while (node->left != tree->nil) node = node->left; do { if (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID)) { _gtk_rbtree_node_set_height (tree, node, height); if (mark_valid) _gtk_rbtree_node_mark_valid (tree, node); } if (node->children) _gtk_rbtree_set_fixed_height (node->children, height, mark_valid); } while ((node = _gtk_rbtree_next (tree, node)) != NULL); } typedef struct _GtkRBReorder { GtkRBTree *children; gint height; gint flags; gint order; gint invert_order; gint parity; } GtkRBReorder; static int gtk_rbtree_reorder_sort_func (gconstpointer a, gconstpointer b) { return ((GtkRBReorder *) a)->order - ((GtkRBReorder *) b)->order; } static int gtk_rbtree_reorder_invert_func (gconstpointer a, gconstpointer b) { return ((GtkRBReorder *) a)->invert_order - ((GtkRBReorder *) b)->invert_order; } static void gtk_rbtree_reorder_fixup (GtkRBTree *tree, GtkRBNode *node) { if (node == tree->nil) return; node->parity = 1; if (node->left != tree->nil) { gtk_rbtree_reorder_fixup (tree, node->left); node->offset += node->left->offset; node->parity += node->left->parity; } if (node->right != tree->nil) { gtk_rbtree_reorder_fixup (tree, node->right); node->offset += node->right->offset; node->parity += node->right->parity; } if (node->children) { node->offset += node->children->root->offset; node->parity += node->children->root->parity; } if (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID) || (node->right != tree->nil && GTK_RBNODE_FLAG_SET (node->right, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->left != tree->nil && GTK_RBNODE_FLAG_SET (node->left, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->children && GTK_RBNODE_FLAG_SET (node->children->root, GTK_RBNODE_DESCENDANTS_INVALID))) GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); else GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); } /* It basically pulls everything out of the tree, rearranges it, and puts it * back together. Our strategy is to keep the old RBTree intact, and just * rearrange the contents. When that is done, we go through and update the * heights. There is probably a more elegant way to write this function. If * anyone wants to spend the time writing it, patches will be accepted. */ void _gtk_rbtree_reorder (GtkRBTree *tree, gint *new_order, gint length) { GtkRBReorder reorder = { NULL }; GArray *array; GtkRBNode *node; gint i; g_return_if_fail (tree != NULL); g_return_if_fail (length > 0); g_return_if_fail (tree->root->count == length); /* Sort the trees values in the new tree. */ array = g_array_sized_new (FALSE, FALSE, sizeof (GtkRBReorder), length); for (i = 0; i < length; i++) { reorder.order = new_order[i]; reorder.invert_order = i; g_array_append_val (array, reorder); } g_array_sort(array, gtk_rbtree_reorder_sort_func); /* rewind node*/ node = tree->root; while (node && node->left != tree->nil) node = node->left; for (i = 0; i < length; i++) { g_assert (node != tree->nil); g_array_index (array, GtkRBReorder, i).children = node->children; g_array_index (array, GtkRBReorder, i).flags = GTK_RBNODE_NON_COLORS & node->flags; g_array_index (array, GtkRBReorder, i).height = GTK_RBNODE_GET_HEIGHT (node); node = _gtk_rbtree_next (tree, node); } g_array_sort (array, gtk_rbtree_reorder_invert_func); /* rewind node*/ node = tree->root; while (node && node->left != tree->nil) node = node->left; /* Go through the tree and change the values to the new ones. */ for (i = 0; i < length; i++) { reorder = g_array_index (array, GtkRBReorder, i); node->children = reorder.children; if (node->children) node->children->parent_node = node; node->flags = GTK_RBNODE_GET_COLOR (node) | reorder.flags; /* We temporarily set the height to this. */ node->offset = reorder.height; node = _gtk_rbtree_next (tree, node); } gtk_rbtree_reorder_fixup (tree, tree->root); g_array_free (array, TRUE); } gint _gtk_rbtree_node_find_offset (GtkRBTree *tree, GtkRBNode *node) { GtkRBNode *last; gint retval; g_assert (node); g_assert (node->left); retval = node->left->offset; while (tree && node && node != tree->nil) { last = node; node = node->parent; /* Add left branch, plus children, iff we came from the right */ if (node->right == last) retval += node->offset - node->right->offset; if (node == tree->nil) { node = tree->parent_node; tree = tree->parent_tree; /* Add the parent node, plus the left branch. */ if (node) retval += node->left->offset + GTK_RBNODE_GET_HEIGHT (node); } } return retval; } gint _gtk_rbtree_node_find_parity (GtkRBTree *tree, GtkRBNode *node) { GtkRBNode *last; gint retval; g_assert (node); g_assert (node->left); retval = node->left->parity; while (tree && node && node != tree->nil) { last = node; node = node->parent; /* Add left branch, plus children, iff we came from the right */ if (node->right == last) retval += node->parity - node->right->parity; if (node == tree->nil) { node = tree->parent_node; tree = tree->parent_tree; /* Add the parent node, plus the left branch. */ if (node) retval += node->left->parity + 1; /* 1 == GTK_RBNODE_GET_PARITY() */ } } return retval % 2; } gint _gtk_rbtree_real_find_offset (GtkRBTree *tree, gint height, GtkRBTree **new_tree, GtkRBNode **new_node) { GtkRBNode *tmp_node; g_assert (tree); if (height < 0) { *new_tree = NULL; *new_node = NULL; return 0; } tmp_node = tree->root; while (tmp_node != tree->nil && (tmp_node->left->offset > height || (tmp_node->offset - tmp_node->right->offset) < height)) { if (tmp_node->left->offset > height) tmp_node = tmp_node->left; else { height -= (tmp_node->offset - tmp_node->right->offset); tmp_node = tmp_node->right; } } if (tmp_node == tree->nil) { *new_tree = NULL; *new_node = NULL; return 0; } if (tmp_node->children) { if ((tmp_node->offset - tmp_node->right->offset - tmp_node->children->root->offset) > height) { *new_tree = tree; *new_node = tmp_node; return (height - tmp_node->left->offset); } return _gtk_rbtree_real_find_offset (tmp_node->children, height - tmp_node->left->offset - (tmp_node->offset - tmp_node->left->offset - tmp_node->right->offset - tmp_node->children->root->offset), new_tree, new_node); } *new_tree = tree; *new_node = tmp_node; return (height - tmp_node->left->offset); } gint _gtk_rbtree_find_offset (GtkRBTree *tree, gint height, GtkRBTree **new_tree, GtkRBNode **new_node) { g_assert (tree); if ((height < 0) || (height >= tree->root->offset)) { *new_tree = NULL; *new_node = NULL; return 0; } return _gtk_rbtree_real_find_offset (tree, height, new_tree, new_node); } void _gtk_rbtree_remove_node (GtkRBTree *tree, GtkRBNode *node) { GtkRBNode *x, *y; GtkRBTree *tmp_tree; GtkRBNode *tmp_node; gint y_height; g_return_if_fail (tree != NULL); g_return_if_fail (node != NULL); #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) { g_print ("\n\n_gtk_rbtree_remove_node: %p\n", node); _gtk_rbtree_debug_spew (tree); _gtk_rbtree_test (G_STRLOC, tree); } #endif /* G_ENABLE_DEBUG */ /* make sure we're deleting a node that's actually in the tree */ for (x = node; x->parent != tree->nil; x = x->parent) ; g_return_if_fail (x == tree->root); #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) _gtk_rbtree_test (G_STRLOC, tree); #endif if (node->left == tree->nil || node->right == tree->nil) { y = node; } else { y = node->right; while (y->left != tree->nil) y = y->left; } /* adjust count only beneath tree */ for (x = y; x != tree->nil; x = x->parent) { x->count--; } /* offsets and parity adjust all the way up through parent trees */ y_height = GTK_RBNODE_GET_HEIGHT (y); tmp_tree = tree; tmp_node = y; while (tmp_tree && tmp_node && tmp_node != tmp_tree->nil) { tmp_node->offset -= (y_height + (y->children?y->children->root->offset:0)); _fixup_validation (tmp_tree, tmp_node); _fixup_parity (tmp_tree, tmp_node); tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } /* x is y's only child, or nil */ if (y->left != tree->nil) x = y->left; else x = y->right; /* remove y from the parent chain */ x->parent = y->parent; if (y->parent != tree->nil) { if (y == y->parent->left) y->parent->left = x; else y->parent->right = x; } else { tree->root = x; } /* We need to clean up the validity of the tree. */ tmp_tree = tree; tmp_node = x; do { /* We skip the first time, iff x is nil */ if (tmp_node != tmp_tree->nil) { _fixup_validation (tmp_tree, tmp_node); _fixup_parity (tmp_tree, tmp_node); } tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } while (tmp_tree != NULL); if (y != node) { gint diff; /* Copy the node over */ if (GTK_RBNODE_GET_COLOR (node) == GTK_RBNODE_BLACK) node->flags = ((y->flags & (GTK_RBNODE_NON_COLORS)) | GTK_RBNODE_BLACK); else node->flags = ((y->flags & (GTK_RBNODE_NON_COLORS)) | GTK_RBNODE_RED); node->children = y->children; if (y->children) { node->children = y->children; node->children->parent_node = node; } else { node->children = NULL; } _fixup_validation (tree, node); _fixup_parity (tree, node); /* We want to see how different our height is from the previous node. * To do this, we compare our current height with our supposed height. */ diff = y_height - GTK_RBNODE_GET_HEIGHT (node); tmp_tree = tree; tmp_node = node; while (tmp_tree && tmp_node && tmp_node != tmp_tree->nil) { tmp_node->offset += diff; _fixup_validation (tmp_tree, tmp_node); _fixup_parity (tmp_tree, tmp_node); tmp_node = tmp_node->parent; if (tmp_node == tmp_tree->nil) { tmp_node = tmp_tree->parent_node; tmp_tree = tmp_tree->parent_tree; } } } if (GTK_RBNODE_GET_COLOR (y) == GTK_RBNODE_BLACK) _gtk_rbtree_remove_node_fixup (tree, x); _gtk_rbnode_free (y); #ifdef G_ENABLE_DEBUG if (gtk_debug_flags & GTK_DEBUG_TREE) { g_print ("_gtk_rbtree_remove_node finished...\n"); _gtk_rbtree_debug_spew (tree); g_print ("\n\n"); _gtk_rbtree_test (G_STRLOC, tree); } #endif /* G_ENABLE_DEBUG */ } GtkRBNode * _gtk_rbtree_next (GtkRBTree *tree, GtkRBNode *node) { g_return_val_if_fail (tree != NULL, NULL); g_return_val_if_fail (node != NULL, NULL); /* Case 1: the node's below us. */ if (node->right != tree->nil) { node = node->right; while (node->left != tree->nil) node = node->left; return node; } /* Case 2: it's an ancestor */ while (node->parent != tree->nil) { if (node->parent->right == node) node = node->parent; else return (node->parent); } /* Case 3: There is no next node */ return NULL; } GtkRBNode * _gtk_rbtree_prev (GtkRBTree *tree, GtkRBNode *node) { g_return_val_if_fail (tree != NULL, NULL); g_return_val_if_fail (node != NULL, NULL); /* Case 1: the node's below us. */ if (node->left != tree->nil) { node = node->left; while (node->right != tree->nil) node = node->right; return node; } /* Case 2: it's an ancestor */ while (node->parent != tree->nil) { if (node->parent->left == node) node = node->parent; else return (node->parent); } /* Case 3: There is no next node */ return NULL; } void _gtk_rbtree_next_full (GtkRBTree *tree, GtkRBNode *node, GtkRBTree **new_tree, GtkRBNode **new_node) { g_return_if_fail (tree != NULL); g_return_if_fail (node != NULL); g_return_if_fail (new_tree != NULL); g_return_if_fail (new_node != NULL); if (node->children) { *new_tree = node->children; *new_node = (*new_tree)->root; while ((*new_node)->left != (*new_tree)->nil) *new_node = (*new_node)->left; return; } *new_tree = tree; *new_node = _gtk_rbtree_next (tree, node); while ((*new_node == NULL) && (*new_tree != NULL)) { *new_node = (*new_tree)->parent_node; *new_tree = (*new_tree)->parent_tree; if (*new_tree) *new_node = _gtk_rbtree_next (*new_tree, *new_node); } } void _gtk_rbtree_prev_full (GtkRBTree *tree, GtkRBNode *node, GtkRBTree **new_tree, GtkRBNode **new_node) { g_return_if_fail (tree != NULL); g_return_if_fail (node != NULL); g_return_if_fail (new_tree != NULL); g_return_if_fail (new_node != NULL); *new_tree = tree; *new_node = _gtk_rbtree_prev (tree, node); if (*new_node == NULL) { *new_node = (*new_tree)->parent_node; *new_tree = (*new_tree)->parent_tree; } else { while ((*new_node)->children) { *new_tree = (*new_node)->children; *new_node = (*new_tree)->root; while ((*new_node)->right != (*new_tree)->nil) *new_node = (*new_node)->right; } } } gint _gtk_rbtree_get_depth (GtkRBTree *tree) { GtkRBTree *tmp_tree; gint depth = 0; tmp_tree = tree->parent_tree; while (tmp_tree) { ++depth; tmp_tree = tmp_tree->parent_tree; } return depth; } static void _gtk_rbtree_traverse_pre_order (GtkRBTree *tree, GtkRBNode *node, GtkRBTreeTraverseFunc func, gpointer data) { if (node == tree->nil) return; (* func) (tree, node, data); _gtk_rbtree_traverse_pre_order (tree, node->left, func, data); _gtk_rbtree_traverse_pre_order (tree, node->right, func, data); } static void _gtk_rbtree_traverse_post_order (GtkRBTree *tree, GtkRBNode *node, GtkRBTreeTraverseFunc func, gpointer data) { if (node == tree->nil) return; _gtk_rbtree_traverse_post_order (tree, node->left, func, data); _gtk_rbtree_traverse_post_order (tree, node->right, func, data); (* func) (tree, node, data); } void _gtk_rbtree_traverse (GtkRBTree *tree, GtkRBNode *node, GTraverseType order, GtkRBTreeTraverseFunc func, gpointer data) { g_return_if_fail (tree != NULL); g_return_if_fail (node != NULL); g_return_if_fail (func != NULL); g_return_if_fail (order <= G_LEVEL_ORDER); switch (order) { case G_PRE_ORDER: _gtk_rbtree_traverse_pre_order (tree, node, func, data); break; case G_POST_ORDER: _gtk_rbtree_traverse_post_order (tree, node, func, data); break; case G_IN_ORDER: case G_LEVEL_ORDER: default: g_warning ("unsupported traversal order."); break; } } static inline void _fixup_validation (GtkRBTree *tree, GtkRBNode *node) { if (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID) || GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_COLUMN_INVALID) || (node->left != tree->nil && GTK_RBNODE_FLAG_SET (node->left, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->right != tree->nil && GTK_RBNODE_FLAG_SET (node->right, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->children != NULL && GTK_RBNODE_FLAG_SET (node->children->root, GTK_RBNODE_DESCENDANTS_INVALID))) { GTK_RBNODE_SET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); } else { GTK_RBNODE_UNSET_FLAG (node, GTK_RBNODE_DESCENDANTS_INVALID); } } static inline void _fixup_parity (GtkRBTree *tree, GtkRBNode *node) { node->parity = 1 + ((node->children != NULL && node->children->root != node->children->nil) ? node->children->root->parity : 0) + ((node->left != tree->nil) ? node->left->parity : 0) + ((node->right != tree->nil) ? node->right->parity : 0); } #ifdef G_ENABLE_DEBUG static guint get_parity (GtkRBNode *node) { guint child_total = 0; guint rem; /* The parity of a node is node->parity minus * the parity of left, right, and children. * * This is equivalent to saying that if left, right, children * sum to 0 parity, then node->parity is the parity of node, * and if left, right, children are odd parity, then * node->parity is the reverse of the node's parity. */ child_total += (guint) node->left->parity; child_total += (guint) node->right->parity; if (node->children) child_total += (guint) node->children->root->parity; rem = child_total % 2; if (rem == 0) return node->parity; else return !node->parity; } static guint count_parity (GtkRBTree *tree, GtkRBNode *node) { guint res; if (node == tree->nil) return 0; res = count_parity (tree, node->left) + count_parity (tree, node->right) + (guint)1 + (node->children ? count_parity (node->children, node->children->root) : 0); res = res % (guint)2; if (res != node->parity) g_print ("parity incorrect for node\n"); if (get_parity (node) != 1) g_error ("Node has incorrect parity %u", get_parity (node)); return res; } static gint _count_nodes (GtkRBTree *tree, GtkRBNode *node) { gint res; if (node == tree->nil) return 0; g_assert (node->left); g_assert (node->right); res = (_count_nodes (tree, node->left) + _count_nodes (tree, node->right) + 1); if (res != node->count) g_print ("Tree failed\n"); return res; } static void _gtk_rbtree_test_height (GtkRBTree *tree, GtkRBNode *node) { gint computed_offset = 0; /* This whole test is sort of a useless truism. */ if (node->left != tree->nil) computed_offset += node->left->offset; if (node->right != tree->nil) computed_offset += node->right->offset; if (node->children && node->children->root != node->children->nil) computed_offset += node->children->root->offset; if (GTK_RBNODE_GET_HEIGHT (node) + computed_offset != node->offset) g_error ("node has broken offset\n"); if (node->left != tree->nil) _gtk_rbtree_test_height (tree, node->left); if (node->right != tree->nil) _gtk_rbtree_test_height (tree, node->right); if (node->children && node->children->root != node->children->nil) _gtk_rbtree_test_height (node->children, node->children->root); } static void _gtk_rbtree_test_dirty (GtkRBTree *tree, GtkRBNode *node, gint expected_dirtyness) { if (expected_dirtyness) { g_assert (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_COLUMN_INVALID) || GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID) || (node->left != tree->nil && GTK_RBNODE_FLAG_SET (node->left, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->right != tree->nil && GTK_RBNODE_FLAG_SET (node->right, GTK_RBNODE_DESCENDANTS_INVALID)) || (node->children && GTK_RBNODE_FLAG_SET (node->children->root, GTK_RBNODE_DESCENDANTS_INVALID))); } else { g_assert (! GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_COLUMN_INVALID) && ! GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID)); if (node->left != tree->nil) g_assert (! GTK_RBNODE_FLAG_SET (node->left, GTK_RBNODE_DESCENDANTS_INVALID)); if (node->right != tree->nil) g_assert (! GTK_RBNODE_FLAG_SET (node->right, GTK_RBNODE_DESCENDANTS_INVALID)); if (node->children != NULL) g_assert (! GTK_RBNODE_FLAG_SET (node->children->root, GTK_RBNODE_DESCENDANTS_INVALID)); } if (node->left != tree->nil) _gtk_rbtree_test_dirty (tree, node->left, GTK_RBNODE_FLAG_SET (node->left, GTK_RBNODE_DESCENDANTS_INVALID)); if (node->right != tree->nil) _gtk_rbtree_test_dirty (tree, node->right, GTK_RBNODE_FLAG_SET (node->right, GTK_RBNODE_DESCENDANTS_INVALID)); if (node->children != NULL && node->children->root != node->children->nil) _gtk_rbtree_test_dirty (node->children, node->children->root, GTK_RBNODE_FLAG_SET (node->children->root, GTK_RBNODE_DESCENDANTS_INVALID)); } static void _gtk_rbtree_test_structure (GtkRBTree *tree); static void _gtk_rbtree_test_structure_helper (GtkRBTree *tree, GtkRBNode *node) { g_assert (node != tree->nil); g_assert (node->left != NULL); g_assert (node->right != NULL); g_assert (node->parent != NULL); if (node->left != tree->nil) { g_assert (node->left->parent == node); _gtk_rbtree_test_structure_helper (tree, node->left); } if (node->right != tree->nil) { g_assert (node->right->parent == node); _gtk_rbtree_test_structure_helper (tree, node->right); } if (node->children != NULL) { g_assert (node->children->parent_tree == tree); g_assert (node->children->parent_node == node); _gtk_rbtree_test_structure (node->children); } } static void _gtk_rbtree_test_structure (GtkRBTree *tree) { g_assert (tree->root); if (tree->root == tree->nil) return; g_assert (tree->root->parent == tree->nil); _gtk_rbtree_test_structure_helper (tree, tree->root); } void _gtk_rbtree_test (const gchar *where, GtkRBTree *tree) { GtkRBTree *tmp_tree; if (tree == NULL) return; /* Test the entire tree */ tmp_tree = tree; while (tmp_tree->parent_tree) tmp_tree = tmp_tree->parent_tree; g_assert (tmp_tree->nil != NULL); if (tmp_tree->root == tmp_tree->nil) return; _gtk_rbtree_test_structure (tmp_tree); g_assert ((_count_nodes (tmp_tree, tmp_tree->root->left) + _count_nodes (tmp_tree, tmp_tree->root->right) + 1) == tmp_tree->root->count); _gtk_rbtree_test_height (tmp_tree, tmp_tree->root); _gtk_rbtree_test_dirty (tmp_tree, tmp_tree->root, GTK_RBNODE_FLAG_SET (tmp_tree->root, GTK_RBNODE_DESCENDANTS_INVALID)); g_assert (count_parity (tmp_tree, tmp_tree->root) == tmp_tree->root->parity); } static void _gtk_rbtree_debug_spew_helper (GtkRBTree *tree, GtkRBNode *node, gint depth) { gint i; for (i = 0; i < depth; i++) g_print ("\t"); g_print ("(%p - %s) (Offset %d) (Parity %d) (Validity %d%d%d)\n", node, (GTK_RBNODE_GET_COLOR (node) == GTK_RBNODE_BLACK)?"BLACK":" RED ", node->offset, node->parity?1:0, (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_DESCENDANTS_INVALID))?1:0, (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_INVALID))?1:0, (GTK_RBNODE_FLAG_SET (node, GTK_RBNODE_COLUMN_INVALID))?1:0); if (node->children != NULL) { g_print ("Looking at child.\n"); _gtk_rbtree_debug_spew (node->children); g_print ("Done looking at child.\n"); } if (node->left != tree->nil) { _gtk_rbtree_debug_spew_helper (tree, node->left, depth+1); } if (node->right != tree->nil) { _gtk_rbtree_debug_spew_helper (tree, node->right, depth+1); } } void _gtk_rbtree_debug_spew (GtkRBTree *tree) { g_return_if_fail (tree != NULL); if (tree->root == tree->nil) g_print ("Empty tree...\n"); else _gtk_rbtree_debug_spew_helper (tree, tree->root, 0); } #endif /* G_ENABLE_DEBUG */