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-rw-r--r--vere/ext/nasm/nasmlib/rbtree.c259
1 files changed, 259 insertions, 0 deletions
diff --git a/vere/ext/nasm/nasmlib/rbtree.c b/vere/ext/nasm/nasmlib/rbtree.c
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+++ b/vere/ext/nasm/nasmlib/rbtree.c
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+/* ----------------------------------------------------------------------- *
+ *
+ * Copyright 1996-2020 The NASM Authors - All Rights Reserved
+ * See the file AUTHORS included with the NASM distribution for
+ * the specific copyright holders.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following
+ * conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above
+ * copyright notice, this list of conditions and the following
+ * disclaimer in the documentation and/or other materials provided
+ * with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND
+ * CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
+ * OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
+ * EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * ----------------------------------------------------------------------- */
+
+/*
+ * rbtree.c
+ *
+ * Simple implementation of a "left-leaning threaded red-black tree"
+ * with 64-bit integer keys. The search operation will return the
+ * highest node <= the key; only search and insert are supported, but
+ * additional standard llrbtree operations can be coded up at will.
+ *
+ * See http://www.cs.princeton.edu/~rs/talks/LLRB/RedBlack.pdf for
+ * information about left-leaning red-black trees.
+ *
+ * The "threaded" part means that left and right pointers that would
+ * otherwise be NULL are pointers to the in-order predecessor or
+ * successor node. The only pointers that are NULL are the very left-
+ * and rightmost, for which no corresponding side node exists.
+ *
+ * This, among other things, allows for efficient predecessor and
+ * successor operations without requiring dedicated space for a parent
+ * pointer.
+ *
+ * This implementation is robust for identical key values; such keys
+ * will not have their insertion order preserved, and after insertion
+ * of unrelated keys a lookup may return a different node for the
+ * duplicated key, but the prev/next operations will always enumerate
+ * all entries.
+ *
+ * The NULL pointers at the end are considered predecessor/successor
+ * pointers, so if the corresponding flags are clear it is always safe
+ * to access the pointed-to object without an explicit NULL pointer
+ * check.
+ */
+
+#include "rbtree.h"
+#include "nasmlib.h"
+
+struct rbtree *rb_search(const struct rbtree *tree, uint64_t key)
+{
+ const struct rbtree *best = NULL;
+
+ if (tree) {
+ while (true) {
+ if (tree->key > key) {
+ if (tree->m.flags & RBTREE_NODE_PRED)
+ break;
+ tree = tree->m.left;
+ } else {
+ best = tree;
+ if (tree->key == key || (tree->m.flags & RBTREE_NODE_SUCC))
+ break;
+ tree = tree->m.right;
+ }
+ }
+ }
+ return (struct rbtree *)best;
+}
+
+struct rbtree *rb_search_exact(const struct rbtree *tree, uint64_t key)
+{
+ struct rbtree *rv;
+
+ rv = rb_search(tree, key);
+ return (rv && rv->key == key) ? rv : NULL;
+}
+
+/* Reds two left in a row? */
+static inline bool is_red_left_left(struct rbtree *h)
+{
+ return !(h->m.flags & RBTREE_NODE_PRED) &&
+ !(h->m.left->m.flags & (RBTREE_NODE_BLACK|RBTREE_NODE_PRED)) &&
+ !(h->m.left->m.left->m.flags & RBTREE_NODE_BLACK);
+}
+
+/* Node to the right is red? */
+static inline bool is_red_right(struct rbtree *h)
+{
+ return !(h->m.flags & RBTREE_NODE_SUCC) &&
+ !(h->m.right->m.flags & RBTREE_NODE_BLACK);
+}
+
+/* Both the left and right hand nodes are red? */
+static inline bool is_red_both(struct rbtree *h)
+{
+ return !(h->m.flags & (RBTREE_NODE_PRED|RBTREE_NODE_SUCC))
+ && !(h->m.left->m.flags & h->m.right->m.flags & RBTREE_NODE_BLACK);
+}
+
+static inline struct rbtree *rotate_left(struct rbtree *h)
+{
+ struct rbtree *x = h->m.right;
+ enum rbtree_node_flags hf = h->m.flags;
+ enum rbtree_node_flags xf = x->m.flags;
+
+ if (xf & RBTREE_NODE_PRED) {
+ h->m.right = x;
+ h->m.flags = (hf & RBTREE_NODE_PRED) | RBTREE_NODE_SUCC;
+ } else {
+ h->m.right = x->m.left;
+ h->m.flags = hf & RBTREE_NODE_PRED;
+ }
+ x->m.flags = (hf & RBTREE_NODE_BLACK) | (xf & RBTREE_NODE_SUCC);
+ x->m.left = h;
+
+ return x;
+}
+
+static inline struct rbtree *rotate_right(struct rbtree *h)
+{
+ struct rbtree *x = h->m.left;
+ enum rbtree_node_flags hf = h->m.flags;
+ enum rbtree_node_flags xf = x->m.flags;
+
+ if (xf & RBTREE_NODE_SUCC) {
+ h->m.left = x;
+ h->m.flags = (hf & RBTREE_NODE_SUCC) | RBTREE_NODE_PRED;
+ } else {
+ h->m.left = x->m.right;
+ h->m.flags = hf & RBTREE_NODE_SUCC;
+ }
+ x->m.flags = (hf & RBTREE_NODE_BLACK) | (xf & RBTREE_NODE_PRED);
+ x->m.right = h;
+
+ return x;
+}
+
+static inline void color_flip(struct rbtree *h)
+{
+ h->m.flags ^= RBTREE_NODE_BLACK;
+ h->m.left->m.flags ^= RBTREE_NODE_BLACK;
+ h->m.right->m.flags ^= RBTREE_NODE_BLACK;
+}
+
+static struct rbtree *
+_rb_insert(struct rbtree *tree, struct rbtree *node);
+
+struct rbtree *rb_insert(struct rbtree *tree, struct rbtree *node)
+{
+ /* Initialize node as if it was the sole member of the tree */
+
+ nasm_zero(node->m);
+ node->m.flags = RBTREE_NODE_PRED|RBTREE_NODE_SUCC;
+
+ if (unlikely(!tree))
+ return node;
+
+ return _rb_insert(tree, node);
+}
+
+static struct rbtree *
+_rb_insert(struct rbtree *tree, struct rbtree *node)
+{
+ /* Recursive part of the algorithm */
+
+ /* Red on both sides? */
+ if (is_red_both(tree))
+ color_flip(tree);
+
+ if (node->key < tree->key) {
+ node->m.right = tree; /* Potential successor */
+ if (tree->m.flags & RBTREE_NODE_PRED) {
+ node->m.left = tree->m.left;
+ tree->m.flags &= ~RBTREE_NODE_PRED;
+ tree->m.left = node;
+ } else {
+ tree->m.left = _rb_insert(tree->m.left, node);
+ }
+ } else {
+ node->m.left = tree; /* Potential predecessor */
+ if (tree->m.flags & RBTREE_NODE_SUCC) {
+ node->m.right = tree->m.right;
+ tree->m.flags &= ~RBTREE_NODE_SUCC;
+ tree->m.right = node;
+ } else {
+ tree->m.right = _rb_insert(tree->m.right, node);
+ }
+ }
+
+ if (is_red_right(tree))
+ tree = rotate_left(tree);
+
+ if (is_red_left_left(tree))
+ tree = rotate_right(tree);
+
+ return tree;
+}
+
+struct rbtree *rb_first(const struct rbtree *tree)
+{
+ if (unlikely(!tree))
+ return NULL;
+
+ while (!(tree->m.flags & RBTREE_NODE_PRED))
+ tree = tree->m.left;
+
+ return (struct rbtree *)tree;
+}
+
+struct rbtree *rb_last(const struct rbtree *tree)
+{
+ if (unlikely(!tree))
+ return NULL;
+
+ while (!(tree->m.flags & RBTREE_NODE_SUCC))
+ tree = tree->m.right;
+
+ return (struct rbtree *)tree;
+}
+
+struct rbtree *rb_prev(const struct rbtree *node)
+{
+ struct rbtree *np = node->m.left;
+
+ if (node->m.flags & RBTREE_NODE_PRED)
+ return np;
+ else
+ return rb_last(np);
+}
+
+struct rbtree *rb_next(const struct rbtree *node)
+{
+ struct rbtree *np = node->m.right;
+
+ if (node->m.flags & RBTREE_NODE_SUCC)
+ return np;
+ else
+ return rb_first(np);
+}