diff options
Diffstat (limited to 'vere/ext/nasm/nasmlib/rbtree.c')
-rw-r--r-- | vere/ext/nasm/nasmlib/rbtree.c | 259 |
1 files changed, 259 insertions, 0 deletions
diff --git a/vere/ext/nasm/nasmlib/rbtree.c b/vere/ext/nasm/nasmlib/rbtree.c new file mode 100644 index 0000000..773338b --- /dev/null +++ b/vere/ext/nasm/nasmlib/rbtree.c @@ -0,0 +1,259 @@ +/* ----------------------------------------------------------------------- * + * + * 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); +} |