diff options
Diffstat (limited to 'extras/deprecated/vppinfra/fheap.c')
-rw-r--r-- | extras/deprecated/vppinfra/fheap.c | 473 |
1 files changed, 473 insertions, 0 deletions
diff --git a/extras/deprecated/vppinfra/fheap.c b/extras/deprecated/vppinfra/fheap.c new file mode 100644 index 00000000000..034168e85ab --- /dev/null +++ b/extras/deprecated/vppinfra/fheap.c @@ -0,0 +1,473 @@ +/* + * Copyright (c) 2015 Cisco and/or its affiliates. + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at: + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +#include <vppinfra/fheap.h> + +/* Fibonacci heaps. */ +always_inline fheap_node_t * +fheap_get_node (fheap_t * f, u32 i) +{ + return i != ~0 ? vec_elt_at_index (f->nodes, i) : 0; +} + +always_inline fheap_node_t * +fheap_get_root (fheap_t * f) +{ + return fheap_get_node (f, f->min_root); +} + +static void +fheap_validate (fheap_t * f) +{ + fheap_node_t *n, *m; + uword ni, si; + + if (!CLIB_DEBUG || !f->enable_validate) + return; + + vec_foreach_index (ni, f->nodes) + { + n = vec_elt_at_index (f->nodes, ni); + + if (!n->is_valid) + continue; + + /* Min root must have minimal key. */ + m = vec_elt_at_index (f->nodes, f->min_root); + ASSERT (n->key >= m->key); + + /* Min root must have no parent. */ + if (ni == f->min_root) + ASSERT (n->parent == ~0); + + /* Check sibling linkages. */ + if (n->next_sibling == ~0) + ASSERT (n->prev_sibling == ~0); + else if (n->prev_sibling == ~0) + ASSERT (n->next_sibling == ~0); + else + { + fheap_node_t *prev, *next; + u32 si = n->next_sibling, si_start = si; + do + { + m = vec_elt_at_index (f->nodes, si); + prev = vec_elt_at_index (f->nodes, m->prev_sibling); + next = vec_elt_at_index (f->nodes, m->next_sibling); + ASSERT (prev->next_sibling == si); + ASSERT (next->prev_sibling == si); + si = m->next_sibling; + } + while (si != si_start); + } + + /* Loop through all siblings. */ + { + u32 n_siblings = 0; + + foreach_fheap_node_sibling (f, si, n->next_sibling, ( + { + m = + vec_elt_at_index + (f->nodes, si); + /* All siblings must have same parent. */ + ASSERT (m->parent + == + n-> + parent); + n_siblings += 1;} + )); + + /* Either parent is non-empty or there are siblings present. */ + if (n->parent == ~0 && ni != f->min_root) + ASSERT (n_siblings > 0); + } + + /* Loop through all children. */ + { + u32 found_first_child = n->first_child == ~0; + u32 n_children = 0; + + foreach_fheap_node_sibling (f, si, n->first_child, ( + { + m = + vec_elt_at_index + (f->nodes, si); + /* Children must have larger keys than their parent. */ + ASSERT (m->key >= + n->key); + if + (!found_first_child) + found_first_child = + si == + n->first_child; + n_children += 1;} + )); + + /* Check that first child is present on list. */ + ASSERT (found_first_child); + + /* Make sure rank is correct. */ + ASSERT (n->rank == n_children); + } + } + + /* Increment serial number for each successful validate. + Failure can be used as condition for gdb breakpoints. */ + f->validate_serial++; +} + +always_inline void +fheap_node_add_sibling (fheap_t * f, u32 ni, u32 ni_to_add) +{ + fheap_node_t *n = vec_elt_at_index (f->nodes, ni); + fheap_node_t *n_to_add = vec_elt_at_index (f->nodes, ni_to_add); + fheap_node_t *n_next = fheap_get_node (f, n->next_sibling); + fheap_node_t *parent; + + /* Empty list? */ + if (n->next_sibling == ~0) + { + ASSERT (n->prev_sibling == ~0); + n->next_sibling = n->prev_sibling = ni_to_add; + n_to_add->next_sibling = n_to_add->prev_sibling = ni; + } + else + { + /* Add node after existing node. */ + n_to_add->prev_sibling = ni; + n_to_add->next_sibling = n->next_sibling; + + n->next_sibling = ni_to_add; + n_next->prev_sibling = ni_to_add; + } + + n_to_add->parent = n->parent; + parent = fheap_get_node (f, n->parent); + if (parent) + parent->rank += 1; +} + +void +fheap_add (fheap_t * f, u32 ni, u32 key) +{ + fheap_node_t *r, *n; + u32 ri; + + n = vec_elt_at_index (f->nodes, ni); + + clib_memset (n, 0, sizeof (n[0])); + n->parent = n->first_child = n->next_sibling = n->prev_sibling = ~0; + n->key = key; + + r = fheap_get_root (f); + ri = f->min_root; + if (!r) + { + /* No root? Add node as new root. */ + f->min_root = ni; + } + else + { + /* Add node as sibling of current root. */ + fheap_node_add_sibling (f, ri, ni); + + /* New node may become new root. */ + if (r->key > n->key) + f->min_root = ni; + } + + fheap_validate (f); +} + +always_inline u32 +fheap_node_remove_internal (fheap_t * f, u32 ni, u32 invalidate) +{ + fheap_node_t *n = vec_elt_at_index (f->nodes, ni); + u32 prev_ni = n->prev_sibling; + u32 next_ni = n->next_sibling; + u32 list_has_single_element = prev_ni == ni; + fheap_node_t *prev = fheap_get_node (f, prev_ni); + fheap_node_t *next = fheap_get_node (f, next_ni); + fheap_node_t *p = fheap_get_node (f, n->parent); + + if (p) + { + ASSERT (p->rank > 0); + p->rank -= 1; + p->first_child = list_has_single_element ? ~0 : next_ni; + } + + if (prev) + { + ASSERT (prev->next_sibling == ni); + prev->next_sibling = next_ni; + } + if (next) + { + ASSERT (next->prev_sibling == ni); + next->prev_sibling = prev_ni; + } + + n->prev_sibling = n->next_sibling = ni; + n->parent = ~0; + n->is_valid = invalidate == 0; + + return list_has_single_element ? ~0 : next_ni; +} + +always_inline u32 +fheap_node_remove (fheap_t * f, u32 ni) +{ + return fheap_node_remove_internal (f, ni, /* invalidate */ 0); +} + +always_inline u32 +fheap_node_remove_and_invalidate (fheap_t * f, u32 ni) +{ + return fheap_node_remove_internal (f, ni, /* invalidate */ 1); +} + +static void +fheap_link_root (fheap_t * f, u32 ni) +{ + fheap_node_t *n = vec_elt_at_index (f->nodes, ni); + fheap_node_t *r, *lo, *hi; + u32 ri, lo_i, hi_i, k; + + while (1) + { + k = n->rank; + vec_validate_init_empty (f->root_list_by_rank, k, ~0); + ri = f->root_list_by_rank[k]; + r = fheap_get_node (f, ri); + if (!r) + { + f->root_list_by_rank[k] = ni; + return; + } + + f->root_list_by_rank[k] = ~0; + + /* Sort n/r into lo/hi by their keys. */ + lo = r, lo_i = ri; + hi = n, hi_i = ni; + if (hi->key < lo->key) + { + u32 ti; + fheap_node_t *tn; + ti = lo_i, tn = lo; + lo = hi, lo_i = hi_i; + hi = tn, hi_i = ti; + } + + /* Remove larger key. */ + fheap_node_remove (f, hi_i); + + /* Add larger key as child of smaller one. */ + if (lo->first_child == ~0) + { + hi->parent = lo_i; + lo->first_child = hi_i; + lo->rank = 1; + } + else + fheap_node_add_sibling (f, lo->first_child, hi_i); + + /* Following Fredman & Trajan: "When making a root node X a child of another node in a linking step, + we unmark X". */ + hi->is_marked = 0; + + ni = lo_i; + n = lo; + } +} + +u32 +fheap_del_min (fheap_t * f, u32 * min_key) +{ + fheap_node_t *r = fheap_get_root (f); + u32 to_delete_min_ri = f->min_root; + u32 ri, ni; + + /* Empty heap? */ + if (!r) + return ~0; + + /* Root's children become siblings. Call this step a; see below. */ + if (r->first_child != ~0) + { + u32 ci, cni, rni; + fheap_node_t *c, *cn, *rn; + + /* Splice child & root circular lists together. */ + ci = r->first_child; + c = vec_elt_at_index (f->nodes, ci); + + cni = c->next_sibling; + rni = r->next_sibling; + cn = vec_elt_at_index (f->nodes, cni); + rn = vec_elt_at_index (f->nodes, rni); + + r->next_sibling = cni; + c->next_sibling = rni; + cn->prev_sibling = to_delete_min_ri; + rn->prev_sibling = ci; + } + + /* Remove min root. */ + ri = fheap_node_remove_and_invalidate (f, to_delete_min_ri); + + /* Find new min root from among siblings including the ones we've just added. */ + f->min_root = ~0; + if (ri != ~0) + { + u32 ri_last, ri_next, i, min_ds; + + r = fheap_get_node (f, ri); + ri_last = r->prev_sibling; + while (1) + { + /* Step a above can put children (with r->parent != ~0) on root list. */ + r->parent = ~0; + + ri_next = r->next_sibling; + fheap_link_root (f, ri); + if (ri == ri_last) + break; + ri = ri_next; + r = fheap_get_node (f, ri); + } + + min_ds = ~0; + vec_foreach_index (i, f->root_list_by_rank) + { + ni = f->root_list_by_rank[i]; + if (ni == ~0) + continue; + f->root_list_by_rank[i] = ~0; + r = fheap_get_node (f, ni); + if (r->key < min_ds) + { + f->min_root = ni; + min_ds = r->key; + ASSERT (r->parent == ~0); + } + } + } + + /* Return deleted min root. */ + r = vec_elt_at_index (f->nodes, to_delete_min_ri); + if (min_key) + *min_key = r->key; + + fheap_validate (f); + + return to_delete_min_ri; +} + +static void +fheap_mark_parent (fheap_t * f, u32 pi) +{ + fheap_node_t *p = vec_elt_at_index (f->nodes, pi); + + /* Parent is a root: do nothing. */ + if (p->parent == ~0) + return; + + /* If not marked, mark it. */ + if (!p->is_marked) + { + p->is_marked = 1; + return; + } + + /* Its a previously marked, non-root parent. + Cut edge to its parent and add to root list. */ + fheap_node_remove (f, pi); + fheap_node_add_sibling (f, f->min_root, pi); + + /* Unmark it since its now a root node. */ + p->is_marked = 0; + + /* "Cascading cuts": check parent. */ + if (p->parent != ~0) + fheap_mark_parent (f, p->parent); +} + +/* Set key to new smaller value. */ +void +fheap_decrease_key (fheap_t * f, u32 ni, u32 new_key) +{ + fheap_node_t *n = vec_elt_at_index (f->nodes, ni); + fheap_node_t *r = fheap_get_root (f); + + n->key = new_key; + + if (n->parent != ~0) + { + fheap_mark_parent (f, n->parent); + + /* Remove node and add to root list. */ + fheap_node_remove (f, ni); + fheap_node_add_sibling (f, f->min_root, ni); + } + + if (n->key < r->key) + f->min_root = ni; + + fheap_validate (f); +} + +void +fheap_del (fheap_t * f, u32 ni) +{ + fheap_node_t *n; + + n = vec_elt_at_index (f->nodes, ni); + + if (n->parent == ~0) + { + ASSERT (ni == f->min_root); + fheap_del_min (f, 0); + } + else + { + u32 ci; + + fheap_mark_parent (f, n->parent); + + /* Add children to root list. */ + foreach_fheap_node_sibling (f, ci, n->first_child, ( + { + fheap_node_remove + (f, ci); + fheap_node_add_sibling + (f, f->min_root, + ci);} + )); + + fheap_node_remove_and_invalidate (f, ni); + } + + fheap_validate (f); +} + +/* + * fd.io coding-style-patch-verification: ON + * + * Local Variables: + * eval: (c-set-style "gnu") + * End: + */ |