diff options
Diffstat (limited to 'deps/jemalloc/include/jemalloc/internal/rb.h')
| -rw-r--r-- | deps/jemalloc/include/jemalloc/internal/rb.h | 973 |
1 files changed, 973 insertions, 0 deletions
diff --git a/deps/jemalloc/include/jemalloc/internal/rb.h b/deps/jemalloc/include/jemalloc/internal/rb.h new file mode 100644 index 000000000..ee9b009d2 --- /dev/null +++ b/deps/jemalloc/include/jemalloc/internal/rb.h @@ -0,0 +1,973 @@ +/*- + ******************************************************************************* + * + * cpp macro implementation of left-leaning 2-3 red-black trees. Parent + * pointers are not used, and color bits are stored in the least significant + * bit of right-child pointers (if RB_COMPACT is defined), thus making node + * linkage as compact as is possible for red-black trees. + * + * Usage: + * + * #include <stdint.h> + * #include <stdbool.h> + * #define NDEBUG // (Optional, see assert(3).) + * #include <assert.h> + * #define RB_COMPACT // (Optional, embed color bits in right-child pointers.) + * #include <rb.h> + * ... + * + ******************************************************************************* + */ + +#ifndef RB_H_ +#define RB_H_ + +#if 0 +__FBSDID("$FreeBSD: head/lib/libc/stdlib/rb.h 204493 2010-02-28 22:57:13Z jasone $"); +#endif + +#ifdef RB_COMPACT +/* Node structure. */ +#define rb_node(a_type) \ +struct { \ + a_type *rbn_left; \ + a_type *rbn_right_red; \ +} +#else +#define rb_node(a_type) \ +struct { \ + a_type *rbn_left; \ + a_type *rbn_right; \ + bool rbn_red; \ +} +#endif + +/* Root structure. */ +#define rb_tree(a_type) \ +struct { \ + a_type *rbt_root; \ + a_type rbt_nil; \ +} + +/* Left accessors. */ +#define rbtn_left_get(a_type, a_field, a_node) \ + ((a_node)->a_field.rbn_left) +#define rbtn_left_set(a_type, a_field, a_node, a_left) do { \ + (a_node)->a_field.rbn_left = a_left; \ +} while (0) + +#ifdef RB_COMPACT +/* Right accessors. */ +#define rbtn_right_get(a_type, a_field, a_node) \ + ((a_type *) (((intptr_t) (a_node)->a_field.rbn_right_red) \ + & ((ssize_t)-2))) +#define rbtn_right_set(a_type, a_field, a_node, a_right) do { \ + (a_node)->a_field.rbn_right_red = (a_type *) (((uintptr_t) a_right) \ + | (((uintptr_t) (a_node)->a_field.rbn_right_red) & ((size_t)1))); \ +} while (0) + +/* Color accessors. */ +#define rbtn_red_get(a_type, a_field, a_node) \ + ((bool) (((uintptr_t) (a_node)->a_field.rbn_right_red) \ + & ((size_t)1))) +#define rbtn_color_set(a_type, a_field, a_node, a_red) do { \ + (a_node)->a_field.rbn_right_red = (a_type *) ((((intptr_t) \ + (a_node)->a_field.rbn_right_red) & ((ssize_t)-2)) \ + | ((ssize_t)a_red)); \ +} while (0) +#define rbtn_red_set(a_type, a_field, a_node) do { \ + (a_node)->a_field.rbn_right_red = (a_type *) (((uintptr_t) \ + (a_node)->a_field.rbn_right_red) | ((size_t)1)); \ +} while (0) +#define rbtn_black_set(a_type, a_field, a_node) do { \ + (a_node)->a_field.rbn_right_red = (a_type *) (((intptr_t) \ + (a_node)->a_field.rbn_right_red) & ((ssize_t)-2)); \ +} while (0) +#else +/* Right accessors. */ +#define rbtn_right_get(a_type, a_field, a_node) \ + ((a_node)->a_field.rbn_right) +#define rbtn_right_set(a_type, a_field, a_node, a_right) do { \ + (a_node)->a_field.rbn_right = a_right; \ +} while (0) + +/* Color accessors. */ +#define rbtn_red_get(a_type, a_field, a_node) \ + ((a_node)->a_field.rbn_red) +#define rbtn_color_set(a_type, a_field, a_node, a_red) do { \ + (a_node)->a_field.rbn_red = (a_red); \ +} while (0) +#define rbtn_red_set(a_type, a_field, a_node) do { \ + (a_node)->a_field.rbn_red = true; \ +} while (0) +#define rbtn_black_set(a_type, a_field, a_node) do { \ + (a_node)->a_field.rbn_red = false; \ +} while (0) +#endif + +/* Node initializer. */ +#define rbt_node_new(a_type, a_field, a_rbt, a_node) do { \ + rbtn_left_set(a_type, a_field, (a_node), &(a_rbt)->rbt_nil); \ + rbtn_right_set(a_type, a_field, (a_node), &(a_rbt)->rbt_nil); \ + rbtn_red_set(a_type, a_field, (a_node)); \ +} while (0) + +/* Tree initializer. */ +#define rb_new(a_type, a_field, a_rbt) do { \ + (a_rbt)->rbt_root = &(a_rbt)->rbt_nil; \ + rbt_node_new(a_type, a_field, a_rbt, &(a_rbt)->rbt_nil); \ + rbtn_black_set(a_type, a_field, &(a_rbt)->rbt_nil); \ +} while (0) + +/* Internal utility macros. */ +#define rbtn_first(a_type, a_field, a_rbt, a_root, r_node) do { \ + (r_node) = (a_root); \ + if ((r_node) != &(a_rbt)->rbt_nil) { \ + for (; \ + rbtn_left_get(a_type, a_field, (r_node)) != &(a_rbt)->rbt_nil;\ + (r_node) = rbtn_left_get(a_type, a_field, (r_node))) { \ + } \ + } \ +} while (0) + +#define rbtn_last(a_type, a_field, a_rbt, a_root, r_node) do { \ + (r_node) = (a_root); \ + if ((r_node) != &(a_rbt)->rbt_nil) { \ + for (; rbtn_right_get(a_type, a_field, (r_node)) != \ + &(a_rbt)->rbt_nil; (r_node) = rbtn_right_get(a_type, a_field, \ + (r_node))) { \ + } \ + } \ +} while (0) + +#define rbtn_rotate_left(a_type, a_field, a_node, r_node) do { \ + (r_node) = rbtn_right_get(a_type, a_field, (a_node)); \ + rbtn_right_set(a_type, a_field, (a_node), \ + rbtn_left_get(a_type, a_field, (r_node))); \ + rbtn_left_set(a_type, a_field, (r_node), (a_node)); \ +} while (0) + +#define rbtn_rotate_right(a_type, a_field, a_node, r_node) do { \ + (r_node) = rbtn_left_get(a_type, a_field, (a_node)); \ + rbtn_left_set(a_type, a_field, (a_node), \ + rbtn_right_get(a_type, a_field, (r_node))); \ + rbtn_right_set(a_type, a_field, (r_node), (a_node)); \ +} while (0) + +/* + * The rb_proto() macro generates function prototypes that correspond to the + * functions generated by an equivalently parameterized call to rb_gen(). + */ + +#define rb_proto(a_attr, a_prefix, a_rbt_type, a_type) \ +a_attr void \ +a_prefix##new(a_rbt_type *rbtree); \ +a_attr a_type * \ +a_prefix##first(a_rbt_type *rbtree); \ +a_attr a_type * \ +a_prefix##last(a_rbt_type *rbtree); \ +a_attr a_type * \ +a_prefix##next(a_rbt_type *rbtree, a_type *node); \ +a_attr a_type * \ +a_prefix##prev(a_rbt_type *rbtree, a_type *node); \ +a_attr a_type * \ +a_prefix##search(a_rbt_type *rbtree, a_type *key); \ +a_attr a_type * \ +a_prefix##nsearch(a_rbt_type *rbtree, a_type *key); \ +a_attr a_type * \ +a_prefix##psearch(a_rbt_type *rbtree, a_type *key); \ +a_attr void \ +a_prefix##insert(a_rbt_type *rbtree, a_type *node); \ +a_attr void \ +a_prefix##remove(a_rbt_type *rbtree, a_type *node); \ +a_attr a_type * \ +a_prefix##iter(a_rbt_type *rbtree, a_type *start, a_type *(*cb)( \ + a_rbt_type *, a_type *, void *), void *arg); \ +a_attr a_type * \ +a_prefix##reverse_iter(a_rbt_type *rbtree, a_type *start, \ + a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg); + +/* + * The rb_gen() macro generates a type-specific red-black tree implementation, + * based on the above cpp macros. + * + * Arguments: + * + * a_attr : Function attribute for generated functions (ex: static). + * a_prefix : Prefix for generated functions (ex: ex_). + * a_rb_type : Type for red-black tree data structure (ex: ex_t). + * a_type : Type for red-black tree node data structure (ex: ex_node_t). + * a_field : Name of red-black tree node linkage (ex: ex_link). + * a_cmp : Node comparison function name, with the following prototype: + * int (a_cmp *)(a_type *a_node, a_type *a_other); + * ^^^^^^ + * or a_key + * Interpretation of comparision function return values: + * -1 : a_node < a_other + * 0 : a_node == a_other + * 1 : a_node > a_other + * In all cases, the a_node or a_key macro argument is the first + * argument to the comparison function, which makes it possible + * to write comparison functions that treat the first argument + * specially. + * + * Assuming the following setup: + * + * typedef struct ex_node_s ex_node_t; + * struct ex_node_s { + * rb_node(ex_node_t) ex_link; + * }; + * typedef rb_tree(ex_node_t) ex_t; + * rb_gen(static, ex_, ex_t, ex_node_t, ex_link, ex_cmp) + * + * The following API is generated: + * + * static void + * ex_new(ex_t *extree); + * Description: Initialize a red-black tree structure. + * Args: + * extree: Pointer to an uninitialized red-black tree object. + * + * static ex_node_t * + * ex_first(ex_t *extree); + * static ex_node_t * + * ex_last(ex_t *extree); + * Description: Get the first/last node in extree. + * Args: + * extree: Pointer to an initialized red-black tree object. + * Ret: First/last node in extree, or NULL if extree is empty. + * + * static ex_node_t * + * ex_next(ex_t *extree, ex_node_t *node); + * static ex_node_t * + * ex_prev(ex_t *extree, ex_node_t *node); + * Description: Get node's successor/predecessor. + * Args: + * extree: Pointer to an initialized red-black tree object. + * node : A node in extree. + * Ret: node's successor/predecessor in extree, or NULL if node is + * last/first. + * + * static ex_node_t * + * ex_search(ex_t *extree, ex_node_t *key); + * Description: Search for node that matches key. + * Args: + * extree: Pointer to an initialized red-black tree object. + * key : Search key. + * Ret: Node in extree that matches key, or NULL if no match. + * + * static ex_node_t * + * ex_nsearch(ex_t *extree, ex_node_t *key); + * static ex_node_t * + * ex_psearch(ex_t *extree, ex_node_t *key); + * Description: Search for node that matches key. If no match is found, + * return what would be key's successor/predecessor, were + * key in extree. + * Args: + * extree: Pointer to an initialized red-black tree object. + * key : Search key. + * Ret: Node in extree that matches key, or if no match, hypothetical + * node's successor/predecessor (NULL if no successor/predecessor). + * + * static void + * ex_insert(ex_t *extree, ex_node_t *node); + * Description: Insert node into extree. + * Args: + * extree: Pointer to an initialized red-black tree object. + * node : Node to be inserted into extree. + * + * static void + * ex_remove(ex_t *extree, ex_node_t *node); + * Description: Remove node from extree. + * Args: + * extree: Pointer to an initialized red-black tree object. + * node : Node in extree to be removed. + * + * static ex_node_t * + * ex_iter(ex_t *extree, ex_node_t *start, ex_node_t *(*cb)(ex_t *, + * ex_node_t *, void *), void *arg); + * static ex_node_t * + * ex_reverse_iter(ex_t *extree, ex_node_t *start, ex_node *(*cb)(ex_t *, + * ex_node_t *, void *), void *arg); + * Description: Iterate forward/backward over extree, starting at node. + * If extree is modified, iteration must be immediately + * terminated by the callback function that causes the + * modification. + * Args: + * extree: Pointer to an initialized red-black tree object. + * start : Node at which to start iteration, or NULL to start at + * first/last node. + * cb : Callback function, which is called for each node during + * iteration. Under normal circumstances the callback function + * should return NULL, which causes iteration to continue. If a + * callback function returns non-NULL, iteration is immediately + * terminated and the non-NULL return value is returned by the + * iterator. This is useful for re-starting iteration after + * modifying extree. + * arg : Opaque pointer passed to cb(). + * Ret: NULL if iteration completed, or the non-NULL callback return value + * that caused termination of the iteration. + */ +#define rb_gen(a_attr, a_prefix, a_rbt_type, a_type, a_field, a_cmp) \ +a_attr void \ +a_prefix##new(a_rbt_type *rbtree) { \ + rb_new(a_type, a_field, rbtree); \ +} \ +a_attr a_type * \ +a_prefix##first(a_rbt_type *rbtree) { \ + a_type *ret; \ + rbtn_first(a_type, a_field, rbtree, rbtree->rbt_root, ret); \ + if (ret == &rbtree->rbt_nil) { \ + ret = NULL; \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##last(a_rbt_type *rbtree) { \ + a_type *ret; \ + rbtn_last(a_type, a_field, rbtree, rbtree->rbt_root, ret); \ + if (ret == &rbtree->rbt_nil) { \ + ret = NULL; \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##next(a_rbt_type *rbtree, a_type *node) { \ + a_type *ret; \ + if (rbtn_right_get(a_type, a_field, node) != &rbtree->rbt_nil) { \ + rbtn_first(a_type, a_field, rbtree, rbtn_right_get(a_type, \ + a_field, node), ret); \ + } else { \ + a_type *tnode = rbtree->rbt_root; \ + assert(tnode != &rbtree->rbt_nil); \ + ret = &rbtree->rbt_nil; \ + while (true) { \ + int cmp = (a_cmp)(node, tnode); \ + if (cmp < 0) { \ + ret = tnode; \ + tnode = rbtn_left_get(a_type, a_field, tnode); \ + } else if (cmp > 0) { \ + tnode = rbtn_right_get(a_type, a_field, tnode); \ + } else { \ + break; \ + } \ + assert(tnode != &rbtree->rbt_nil); \ + } \ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = (NULL); \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##prev(a_rbt_type *rbtree, a_type *node) { \ + a_type *ret; \ + if (rbtn_left_get(a_type, a_field, node) != &rbtree->rbt_nil) { \ + rbtn_last(a_type, a_field, rbtree, rbtn_left_get(a_type, \ + a_field, node), ret); \ + } else { \ + a_type *tnode = rbtree->rbt_root; \ + assert(tnode != &rbtree->rbt_nil); \ + ret = &rbtree->rbt_nil; \ + while (true) { \ + int cmp = (a_cmp)(node, tnode); \ + if (cmp < 0) { \ + tnode = rbtn_left_get(a_type, a_field, tnode); \ + } else if (cmp > 0) { \ + ret = tnode; \ + tnode = rbtn_right_get(a_type, a_field, tnode); \ + } else { \ + break; \ + } \ + assert(tnode != &rbtree->rbt_nil); \ + } \ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = (NULL); \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##search(a_rbt_type *rbtree, a_type *key) { \ + a_type *ret; \ + int cmp; \ + ret = rbtree->rbt_root; \ + while (ret != &rbtree->rbt_nil \ + && (cmp = (a_cmp)(key, ret)) != 0) { \ + if (cmp < 0) { \ + ret = rbtn_left_get(a_type, a_field, ret); \ + } else { \ + ret = rbtn_right_get(a_type, a_field, ret); \ + } \ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = (NULL); \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##nsearch(a_rbt_type *rbtree, a_type *key) { \ + a_type *ret; \ + a_type *tnode = rbtree->rbt_root; \ + ret = &rbtree->rbt_nil; \ + while (tnode != &rbtree->rbt_nil) { \ + int cmp = (a_cmp)(key, tnode); \ + if (cmp < 0) { \ + ret = tnode; \ + tnode = rbtn_left_get(a_type, a_field, tnode); \ + } else if (cmp > 0) { \ + tnode = rbtn_right_get(a_type, a_field, tnode); \ + } else { \ + ret = tnode; \ + break; \ + } \ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = (NULL); \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##psearch(a_rbt_type *rbtree, a_type *key) { \ + a_type *ret; \ + a_type *tnode = rbtree->rbt_root; \ + ret = &rbtree->rbt_nil; \ + while (tnode != &rbtree->rbt_nil) { \ + int cmp = (a_cmp)(key, tnode); \ + if (cmp < 0) { \ + tnode = rbtn_left_get(a_type, a_field, tnode); \ + } else if (cmp > 0) { \ + ret = tnode; \ + tnode = rbtn_right_get(a_type, a_field, tnode); \ + } else { \ + ret = tnode; \ + break; \ + } \ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = (NULL); \ + } \ + return (ret); \ +} \ +a_attr void \ +a_prefix##insert(a_rbt_type *rbtree, a_type *node) { \ + struct { \ + a_type *node; \ + int cmp; \ + } path[sizeof(void *) << 4], *pathp; \ + rbt_node_new(a_type, a_field, rbtree, node); \ + /* Wind. */ \ + path->node = rbtree->rbt_root; \ + for (pathp = path; pathp->node != &rbtree->rbt_nil; pathp++) { \ + int cmp = pathp->cmp = a_cmp(node, pathp->node); \ + assert(cmp != 0); \ + if (cmp < 0) { \ + pathp[1].node = rbtn_left_get(a_type, a_field, \ + pathp->node); \ + } else { \ + pathp[1].node = rbtn_right_get(a_type, a_field, \ + pathp->node); \ + } \ + } \ + pathp->node = node; \ + /* Unwind. */ \ + for (pathp--; (uintptr_t)pathp >= (uintptr_t)path; pathp--) { \ + a_type *cnode = pathp->node; \ + if (pathp->cmp < 0) { \ + a_type *left = pathp[1].node; \ + rbtn_left_set(a_type, a_field, cnode, left); \ + if (rbtn_red_get(a_type, a_field, left)) { \ + a_type *leftleft = rbtn_left_get(a_type, a_field, left);\ + if (rbtn_red_get(a_type, a_field, leftleft)) { \ + /* Fix up 4-node. */ \ + a_type *tnode; \ + rbtn_black_set(a_type, a_field, leftleft); \ + rbtn_rotate_right(a_type, a_field, cnode, tnode); \ + cnode = tnode; \ + } \ + } else { \ + return; \ + } \ + } else { \ + a_type *right = pathp[1].node; \ + rbtn_right_set(a_type, a_field, cnode, right); \ + if (rbtn_red_get(a_type, a_field, right)) { \ + a_type *left = rbtn_left_get(a_type, a_field, cnode); \ + if (rbtn_red_get(a_type, a_field, left)) { \ + /* Split 4-node. */ \ + rbtn_black_set(a_type, a_field, left); \ + rbtn_black_set(a_type, a_field, right); \ + rbtn_red_set(a_type, a_field, cnode); \ + } else { \ + /* Lean left. */ \ + a_type *tnode; \ + bool tred = rbtn_red_get(a_type, a_field, cnode); \ + rbtn_rotate_left(a_type, a_field, cnode, tnode); \ + rbtn_color_set(a_type, a_field, tnode, tred); \ + rbtn_red_set(a_type, a_field, cnode); \ + cnode = tnode; \ + } \ + } else { \ + return; \ + } \ + } \ + pathp->node = cnode; \ + } \ + /* Set root, and make it black. */ \ + rbtree->rbt_root = path->node; \ + rbtn_black_set(a_type, a_field, rbtree->rbt_root); \ +} \ +a_attr void \ +a_prefix##remove(a_rbt_type *rbtree, a_type *node) { \ + struct { \ + a_type *node; \ + int cmp; \ + } *pathp, *nodep, path[sizeof(void *) << 4]; \ + /* Wind. */ \ + nodep = NULL; /* Silence compiler warning. */ \ + path->node = rbtree->rbt_root; \ + for (pathp = path; pathp->node != &rbtree->rbt_nil; pathp++) { \ + int cmp = pathp->cmp = a_cmp(node, pathp->node); \ + if (cmp < 0) { \ + pathp[1].node = rbtn_left_get(a_type, a_field, \ + pathp->node); \ + } else { \ + pathp[1].node = rbtn_right_get(a_type, a_field, \ + pathp->node); \ + if (cmp == 0) { \ + /* Find node's successor, in preparation for swap. */ \ + pathp->cmp = 1; \ + nodep = pathp; \ + for (pathp++; pathp->node != &rbtree->rbt_nil; \ + pathp++) { \ + pathp->cmp = -1; \ + pathp[1].node = rbtn_left_get(a_type, a_field, \ + pathp->node); \ + } \ + break; \ + } \ + } \ + } \ + assert(nodep->node == node); \ + pathp--; \ + if (pathp->node != node) { \ + /* Swap node with its successor. */ \ + bool tred = rbtn_red_get(a_type, a_field, pathp->node); \ + rbtn_color_set(a_type, a_field, pathp->node, \ + rbtn_red_get(a_type, a_field, node)); \ + rbtn_left_set(a_type, a_field, pathp->node, \ + rbtn_left_get(a_type, a_field, node)); \ + /* If node's successor is its right child, the following code */\ + /* will do the wrong thing for the right child pointer. */\ + /* However, it doesn't matter, because the pointer will be */\ + /* properly set when the successor is pruned. */\ + rbtn_right_set(a_type, a_field, pathp->node, \ + rbtn_right_get(a_type, a_field, node)); \ + rbtn_color_set(a_type, a_field, node, tred); \ + /* The pruned leaf node's child pointers are never accessed */\ + /* again, so don't bother setting them to nil. */\ + nodep->node = pathp->node; \ + pathp->node = node; \ + if (nodep == path) { \ + rbtree->rbt_root = nodep->node; \ + } else { \ + if (nodep[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, nodep[-1].node, \ + nodep->node); \ + } else { \ + rbtn_right_set(a_type, a_field, nodep[-1].node, \ + nodep->node); \ + } \ + } \ + } else { \ + a_type *left = rbtn_left_get(a_type, a_field, node); \ + if (left != &rbtree->rbt_nil) { \ + /* node has no successor, but it has a left child. */\ + /* Splice node out, without losing the left child. */\ + assert(rbtn_red_get(a_type, a_field, node) == false); \ + assert(rbtn_red_get(a_type, a_field, left)); \ + rbtn_black_set(a_type, a_field, left); \ + if (pathp == path) { \ + rbtree->rbt_root = left; \ + } else { \ + if (pathp[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, pathp[-1].node, \ + left); \ + } else { \ + rbtn_right_set(a_type, a_field, pathp[-1].node, \ + left); \ + } \ + } \ + return; \ + } else if (pathp == path) { \ + /* The tree only contained one node. */ \ + rbtree->rbt_root = &rbtree->rbt_nil; \ + return; \ + } \ + } \ + if (rbtn_red_get(a_type, a_field, pathp->node)) { \ + /* Prune red node, which requires no fixup. */ \ + assert(pathp[-1].cmp < 0); \ + rbtn_left_set(a_type, a_field, pathp[-1].node, \ + &rbtree->rbt_nil); \ + return; \ + } \ + /* The node to be pruned is black, so unwind until balance is */\ + /* restored. */\ + pathp->node = &rbtree->rbt_nil; \ + for (pathp--; (uintptr_t)pathp >= (uintptr_t)path; pathp--) { \ + assert(pathp->cmp != 0); \ + if (pathp->cmp < 0) { \ + rbtn_left_set(a_type, a_field, pathp->node, \ + pathp[1].node); \ + assert(rbtn_red_get(a_type, a_field, pathp[1].node) \ + == false); \ + if (rbtn_red_get(a_type, a_field, pathp->node)) { \ + a_type *right = rbtn_right_get(a_type, a_field, \ + pathp->node); \ + a_type *rightleft = rbtn_left_get(a_type, a_field, \ + right); \ + a_type *tnode; \ + if (rbtn_red_get(a_type, a_field, rightleft)) { \ + /* In the following diagrams, ||, //, and \\ */\ + /* indicate the path to the removed node. */\ + /* */\ + /* || */\ + /* pathp(r) */\ + /* // \ */\ + /* (b) (b) */\ + /* / */\ + /* (r) */\ + /* */\ + rbtn_black_set(a_type, a_field, pathp->node); \ + rbtn_rotate_right(a_type, a_field, right, tnode); \ + rbtn_right_set(a_type, a_field, pathp->node, tnode);\ + rbtn_rotate_left(a_type, a_field, pathp->node, \ + tnode); \ + } else { \ + /* || */\ + /* pathp(r) */\ + /* // \ */\ + /* (b) (b) */\ + /* / */\ + /* (b) */\ + /* */\ + rbtn_rotate_left(a_type, a_field, pathp->node, \ + tnode); \ + } \ + /* Balance restored, but rotation modified subtree */\ + /* root. */\ + assert((uintptr_t)pathp > (uintptr_t)path); \ + if (pathp[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, pathp[-1].node, \ + tnode); \ + } else { \ + rbtn_right_set(a_type, a_field, pathp[-1].node, \ + tnode); \ + } \ + return; \ + } else { \ + a_type *right = rbtn_right_get(a_type, a_field, \ + pathp->node); \ + a_type *rightleft = rbtn_left_get(a_type, a_field, \ + right); \ + if (rbtn_red_get(a_type, a_field, rightleft)) { \ + /* || */\ + /* pathp(b) */\ + /* // \ */\ + /* (b) (b) */\ + /* / */\ + /* (r) */\ + a_type *tnode; \ + rbtn_black_set(a_type, a_field, rightleft); \ + rbtn_rotate_right(a_type, a_field, right, tnode); \ + rbtn_right_set(a_type, a_field, pathp->node, tnode);\ + rbtn_rotate_left(a_type, a_field, pathp->node, \ + tnode); \ + /* Balance restored, but rotation modified */\ + /* subree root, which may actually be the tree */\ + /* root. */\ + if (pathp == path) { \ + /* Set root. */ \ + rbtree->rbt_root = tnode; \ + } else { \ + if (pathp[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, \ + pathp[-1].node, tnode); \ + } else { \ + rbtn_right_set(a_type, a_field, \ + pathp[-1].node, tnode); \ + } \ + } \ + return; \ + } else { \ + /* || */\ + /* pathp(b) */\ + /* // \ */\ + /* (b) (b) */\ + /* / */\ + /* (b) */\ + a_type *tnode; \ + rbtn_red_set(a_type, a_field, pathp->node); \ + rbtn_rotate_left(a_type, a_field, pathp->node, \ + tnode); \ + pathp->node = tnode; \ + } \ + } \ + } else { \ + a_type *left; \ + rbtn_right_set(a_type, a_field, pathp->node, \ + pathp[1].node); \ + left = rbtn_left_get(a_type, a_field, pathp->node); \ + if (rbtn_red_get(a_type, a_field, left)) { \ + a_type *tnode; \ + a_type *leftright = rbtn_right_get(a_type, a_field, \ + left); \ + a_type *leftrightleft = rbtn_left_get(a_type, a_field, \ + leftright); \ + if (rbtn_red_get(a_type, a_field, leftrightleft)) { \ + /* || */\ + /* pathp(b) */\ + /* / \\ */\ + /* (r) (b) */\ + /* \ */\ + /* (b) */\ + /* / */\ + /* (r) */\ + a_type *unode; \ + rbtn_black_set(a_type, a_field, leftrightleft); \ + rbtn_rotate_right(a_type, a_field, pathp->node, \ + unode); \ + rbtn_rotate_right(a_type, a_field, pathp->node, \ + tnode); \ + rbtn_right_set(a_type, a_field, unode, tnode); \ + rbtn_rotate_left(a_type, a_field, unode, tnode); \ + } else { \ + /* || */\ + /* pathp(b) */\ + /* / \\ */\ + /* (r) (b) */\ + /* \ */\ + /* (b) */\ + /* / */\ + /* (b) */\ + assert(leftright != &rbtree->rbt_nil); \ + rbtn_red_set(a_type, a_field, leftright); \ + rbtn_rotate_right(a_type, a_field, pathp->node, \ + tnode); \ + rbtn_black_set(a_type, a_field, tnode); \ + } \ + /* Balance restored, but rotation modified subtree */\ + /* root, which may actually be the tree root. */\ + if (pathp == path) { \ + /* Set root. */ \ + rbtree->rbt_root = tnode; \ + } else { \ + if (pathp[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, pathp[-1].node, \ + tnode); \ + } else { \ + rbtn_right_set(a_type, a_field, pathp[-1].node, \ + tnode); \ + } \ + } \ + return; \ + } else if (rbtn_red_get(a_type, a_field, pathp->node)) { \ + a_type *leftleft = rbtn_left_get(a_type, a_field, left);\ + if (rbtn_red_get(a_type, a_field, leftleft)) { \ + /* || */\ + /* pathp(r) */\ + /* / \\ */\ + /* (b) (b) */\ + /* / */\ + /* (r) */\ + a_type *tnode; \ + rbtn_black_set(a_type, a_field, pathp->node); \ + rbtn_red_set(a_type, a_field, left); \ + rbtn_black_set(a_type, a_field, leftleft); \ + rbtn_rotate_right(a_type, a_field, pathp->node, \ + tnode); \ + /* Balance restored, but rotation modified */\ + /* subtree root. */\ + assert((uintptr_t)pathp > (uintptr_t)path); \ + if (pathp[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, pathp[-1].node, \ + tnode); \ + } else { \ + rbtn_right_set(a_type, a_field, pathp[-1].node, \ + tnode); \ + } \ + return; \ + } else { \ + /* || */\ + /* pathp(r) */\ + /* / \\ */\ + /* (b) (b) */\ + /* / */\ + /* (b) */\ + rbtn_red_set(a_type, a_field, left); \ + rbtn_black_set(a_type, a_field, pathp->node); \ + /* Balance restored. */ \ + return; \ + } \ + } else { \ + a_type *leftleft = rbtn_left_get(a_type, a_field, left);\ + if (rbtn_red_get(a_type, a_field, leftleft)) { \ + /* || */\ + /* pathp(b) */\ + /* / \\ */\ + /* (b) (b) */\ + /* / */\ + /* (r) */\ + a_type *tnode; \ + rbtn_black_set(a_type, a_field, leftleft); \ + rbtn_rotate_right(a_type, a_field, pathp->node, \ + tnode); \ + /* Balance restored, but rotation modified */\ + /* subtree root, which may actually be the tree */\ + /* root. */\ + if (pathp == path) { \ + /* Set root. */ \ + rbtree->rbt_root = tnode; \ + } else { \ + if (pathp[-1].cmp < 0) { \ + rbtn_left_set(a_type, a_field, \ + pathp[-1].node, tnode); \ + } else { \ + rbtn_right_set(a_type, a_field, \ + pathp[-1].node, tnode); \ + } \ + } \ + return; \ + } else { \ + /* || */\ + /* pathp(b) */\ + /* / \\ */\ + /* (b) (b) */\ + /* / */\ + /* (b) */\ + rbtn_red_set(a_type, a_field, left); \ + } \ + } \ + } \ + } \ + /* Set root. */ \ + rbtree->rbt_root = path->node; \ + assert(rbtn_red_get(a_type, a_field, rbtree->rbt_root) == false); \ +} \ +a_attr a_type * \ +a_prefix##iter_recurse(a_rbt_type *rbtree, a_type *node, \ + a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \ + if (node == &rbtree->rbt_nil) { \ + return (&rbtree->rbt_nil); \ + } else { \ + a_type *ret; \ + if ((ret = a_prefix##iter_recurse(rbtree, rbtn_left_get(a_type, \ + a_field, node), cb, arg)) != &rbtree->rbt_nil \ + || (ret = cb(rbtree, node, arg)) != NULL) { \ + return (ret); \ + } \ + return (a_prefix##iter_recurse(rbtree, rbtn_right_get(a_type, \ + a_field, node), cb, arg)); \ + } \ +} \ +a_attr a_type * \ +a_prefix##iter_start(a_rbt_type *rbtree, a_type *start, a_type *node, \ + a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \ + int cmp = a_cmp(start, node); \ + if (cmp < 0) { \ + a_type *ret; \ + if ((ret = a_prefix##iter_start(rbtree, start, \ + rbtn_left_get(a_type, a_field, node), cb, arg)) != \ + &rbtree->rbt_nil || (ret = cb(rbtree, node, arg)) != NULL) { \ + return (ret); \ + } \ + return (a_prefix##iter_recurse(rbtree, rbtn_right_get(a_type, \ + a_field, node), cb, arg)); \ + } else if (cmp > 0) { \ + return (a_prefix##iter_start(rbtree, start, \ + rbtn_right_get(a_type, a_field, node), cb, arg)); \ + } else { \ + a_type *ret; \ + if ((ret = cb(rbtree, node, arg)) != NULL) { \ + return (ret); \ + } \ + return (a_prefix##iter_recurse(rbtree, rbtn_right_get(a_type, \ + a_field, node), cb, arg)); \ + } \ +} \ +a_attr a_type * \ +a_prefix##iter(a_rbt_type *rbtree, a_type *start, a_type *(*cb)( \ + a_rbt_type *, a_type *, void *), void *arg) { \ + a_type *ret; \ + if (start != NULL) { \ + ret = a_prefix##iter_start(rbtree, start, rbtree->rbt_root, \ + cb, arg); \ + } else { \ + ret = a_prefix##iter_recurse(rbtree, rbtree->rbt_root, cb, arg);\ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = NULL; \ + } \ + return (ret); \ +} \ +a_attr a_type * \ +a_prefix##reverse_iter_recurse(a_rbt_type *rbtree, a_type *node, \ + a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \ + if (node == &rbtree->rbt_nil) { \ + return (&rbtree->rbt_nil); \ + } else { \ + a_type *ret; \ + if ((ret = a_prefix##reverse_iter_recurse(rbtree, \ + rbtn_right_get(a_type, a_field, node), cb, arg)) != \ + &rbtree->rbt_nil || (ret = cb(rbtree, node, arg)) != NULL) { \ + return (ret); \ + } \ + return (a_prefix##reverse_iter_recurse(rbtree, \ + rbtn_left_get(a_type, a_field, node), cb, arg)); \ + } \ +} \ +a_attr a_type * \ +a_prefix##reverse_iter_start(a_rbt_type *rbtree, a_type *start, \ + a_type *node, a_type *(*cb)(a_rbt_type *, a_type *, void *), \ + void *arg) { \ + int cmp = a_cmp(start, node); \ + if (cmp > 0) { \ + a_type *ret; \ + if ((ret = a_prefix##reverse_iter_start(rbtree, start, \ + rbtn_right_get(a_type, a_field, node), cb, arg)) != \ + &rbtree->rbt_nil || (ret = cb(rbtree, node, arg)) != NULL) { \ + return (ret); \ + } \ + return (a_prefix##reverse_iter_recurse(rbtree, \ + rbtn_left_get(a_type, a_field, node), cb, arg)); \ + } else if (cmp < 0) { \ + return (a_prefix##reverse_iter_start(rbtree, start, \ + rbtn_left_get(a_type, a_field, node), cb, arg)); \ + } else { \ + a_type *ret; \ + if ((ret = cb(rbtree, node, arg)) != NULL) { \ + return (ret); \ + } \ + return (a_prefix##reverse_iter_recurse(rbtree, \ + rbtn_left_get(a_type, a_field, node), cb, arg)); \ + } \ +} \ +a_attr a_type * \ +a_prefix##reverse_iter(a_rbt_type *rbtree, a_type *start, \ + a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \ + a_type *ret; \ + if (start != NULL) { \ + ret = a_prefix##reverse_iter_start(rbtree, start, \ + rbtree->rbt_root, cb, arg); \ + } else { \ + ret = a_prefix##reverse_iter_recurse(rbtree, rbtree->rbt_root, \ + cb, arg); \ + } \ + if (ret == &rbtree->rbt_nil) { \ + ret = NULL; \ + } \ + return (ret); \ +} + +#endif /* RB_H_ */ |