[MEDIUM] backend: implement consistent hashing variation

Consistent hashing provides some interesting advantages over common
hashing. It avoids full redistribution in case of a server failure,
or when expanding the farm. This has a cost however, the hashing is
far from being perfect, as we associate a server to a request by
searching the server with the closest key in a tree. Since servers
appear multiple times based on their weights, it is recommended to
use weights larger than approximately 10-20 in order to smoothen
the distribution a bit.

In some cases, playing with weights will be the only solution to
make a server appear more often and increase chances of being picked,
so stats are very important with consistent hashing.

In order to indicate the type of hashing, use :

   hash-type map-based      (default, old one)
   hash-type consistent     (new one)

Consistent hashing can make sense in a cache farm, in order not
to redistribute everyone when a cache changes state. It could also
probably be used for long sessions such as terminal sessions, though
that has not be attempted yet.

More details on this method of hashing here :
  http://www.spiteful.com/2008/03/17/programmers-toolbox-part-3-consistent-hashing/
diff --git a/src/lb_chash.c b/src/lb_chash.c
new file mode 100644
index 0000000..bfd4cd0
--- /dev/null
+++ b/src/lb_chash.c
@@ -0,0 +1,427 @@
+/*
+ * Consistent Hash implementation
+ * Please consult this very well detailed article for more information :
+ * http://www.spiteful.com/2008/03/17/programmers-toolbox-part-3-consistent-hashing/
+ *
+ * Our implementation has to support both weighted hashing and weighted round
+ * robin because we'll use it to replace the previous map-based implementation
+ * which offered both algorithms.
+ *
+ * Copyright 2000-2009 Willy Tarreau <w@1wt.eu>
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version
+ * 2 of the License, or (at your option) any later version.
+ *
+ */
+
+#include <common/compat.h>
+#include <common/config.h>
+#include <common/debug.h>
+#include <common/eb32tree.h>
+
+#include <types/global.h>
+#include <types/server.h>
+
+#include <proto/backend.h>
+#include <proto/queue.h>
+
+static inline unsigned int chash_hash(unsigned int a)
+{
+	/* This function is one of Bob Jenkins' full avalanche hashing
+	 * functions, which when provides quite a good distribution for little
+	 * input variations. The result is quite suited to fit over a 32-bit
+	 * space with enough variations so that a randomly picked number falls
+	 * equally before any server position.
+	 * Check http://burtleburtle.net/bob/hash/integer.html for more info.
+	 */
+	a = (a+0x7ed55d16) + (a<<12);
+	a = (a^0xc761c23c) ^ (a>>19);
+	a = (a+0x165667b1) + (a<<5);
+	a = (a+0xd3a2646c) ^ (a<<9);
+	a = (a+0xfd7046c5) + (a<<3);
+	a = (a^0xb55a4f09) ^ (a>>16);
+
+	/* ensure values are better spread all around the tree by multiplying
+	 * by a large prime close to 3/4 of the tree.
+	 */
+	return a * 3221225473U;
+}
+
+/* Return next tree node after <node> which must still be in the tree, or be
+ * NULL. Lookup wraps around the end to the beginning. If the next node is the
+ * same node, return NULL. This is designed to find a valid next node before
+ * deleting one from the tree.
+ */
+static inline struct eb32_node *chash_skip_node(struct eb_root *root, struct eb32_node *node)
+{
+	struct eb32_node *stop = node;
+
+	if (!node)
+		return NULL;
+	node = eb32_next(node);
+	if (!node)
+		node = eb32_first(root);
+	if (node == stop)
+		return NULL;
+	return node;
+}
+
+/* Remove all of a server's entries from its tree. This may be used when
+ * setting a server down.
+ */
+static inline void chash_dequeue_srv(struct server *s)
+{
+	while (s->lb_nodes_now > 0) {
+		if (s->lb_nodes_now >= s->lb_nodes_tot) // should always be false anyway
+			s->lb_nodes_now = s->lb_nodes_tot;
+		s->lb_nodes_now--;
+		if (s->proxy->lbprm.chash.last == &s->lb_nodes[s->lb_nodes_now].node)
+			s->proxy->lbprm.chash.last = chash_skip_node(s->lb_tree, s->proxy->lbprm.chash.last);
+		eb32_delete(&s->lb_nodes[s->lb_nodes_now].node);
+	}
+}
+
+/* Adjust the number of entries of a server in its tree. The server must appear
+ * as many times as its weight indicates it. If it's there too often, we remove
+ * the last occurrences. If it's not there enough, we add more occurrences. To
+ * remove a server from the tree, normally call this with eweight=0.
+ */
+static inline void chash_queue_dequeue_srv(struct server *s)
+{
+	while (s->lb_nodes_now > s->eweight) {
+		if (s->lb_nodes_now >= s->lb_nodes_tot) // should always be false anyway
+			s->lb_nodes_now = s->lb_nodes_tot;
+		s->lb_nodes_now--;
+		if (s->proxy->lbprm.chash.last == &s->lb_nodes[s->lb_nodes_now].node)
+			s->proxy->lbprm.chash.last = chash_skip_node(s->lb_tree, s->proxy->lbprm.chash.last);
+		eb32_delete(&s->lb_nodes[s->lb_nodes_now].node);
+	}
+
+	while (s->lb_nodes_now < s->eweight) {
+		if (s->lb_nodes_now >= s->lb_nodes_tot) // should always be false anyway
+			break;
+		if (s->proxy->lbprm.chash.last == &s->lb_nodes[s->lb_nodes_now].node)
+			s->proxy->lbprm.chash.last = chash_skip_node(s->lb_tree, s->proxy->lbprm.chash.last);
+		eb32_insert(s->lb_tree, &s->lb_nodes[s->lb_nodes_now].node);
+		s->lb_nodes_now++;
+	}
+}
+
+/* This function updates the server trees according to server <srv>'s new
+ * state. It should be called when server <srv>'s status changes to down.
+ * It is not important whether the server was already down or not. It is not
+ * important either that the new state is completely down (the caller may not
+ * know all the variables of a server's state).
+ */
+static void chash_set_server_status_down(struct server *srv)
+{
+	struct proxy *p = srv->proxy;
+
+	if (srv->state == srv->prev_state &&
+	    srv->eweight == srv->prev_eweight)
+		return;
+
+	if (srv_is_usable(srv->state, srv->eweight))
+		goto out_update_state;
+
+	if (!srv_is_usable(srv->prev_state, srv->prev_eweight))
+		/* server was already down */
+		goto out_update_backend;
+
+	if (srv->state & SRV_BACKUP) {
+		p->lbprm.tot_wbck -= srv->prev_eweight;
+		p->srv_bck--;
+
+		if (srv == p->lbprm.fbck) {
+			/* we lost the first backup server in a single-backup
+			 * configuration, we must search another one.
+			 */
+			struct server *srv2 = p->lbprm.fbck;
+			do {
+				srv2 = srv2->next;
+			} while (srv2 &&
+				 !((srv2->state & SRV_BACKUP) &&
+				   srv_is_usable(srv2->state, srv2->eweight)));
+			p->lbprm.fbck = srv2;
+		}
+	} else {
+		p->lbprm.tot_wact -= srv->prev_eweight;
+		p->srv_act--;
+	}
+
+	chash_dequeue_srv(srv);
+
+out_update_backend:
+	/* check/update tot_used, tot_weight */
+	update_backend_weight(p);
+ out_update_state:
+	srv->prev_state = srv->state;
+	srv->prev_eweight = srv->eweight;
+}
+
+/* This function updates the server trees according to server <srv>'s new
+ * state. It should be called when server <srv>'s status changes to up.
+ * It is not important whether the server was already down or not. It is not
+ * important either that the new state is completely UP (the caller may not
+ * know all the variables of a server's state). This function will not change
+ * the weight of a server which was already up.
+ */
+static void chash_set_server_status_up(struct server *srv)
+{
+	struct proxy *p = srv->proxy;
+
+	if (srv->state == srv->prev_state &&
+	    srv->eweight == srv->prev_eweight)
+		return;
+
+	if (!srv_is_usable(srv->state, srv->eweight))
+		goto out_update_state;
+
+	if (srv_is_usable(srv->prev_state, srv->prev_eweight))
+		/* server was already up */
+		goto out_update_backend;
+
+	if (srv->state & SRV_BACKUP) {
+		p->lbprm.tot_wbck += srv->eweight;
+		p->srv_bck++;
+
+		if (!(p->options & PR_O_USE_ALL_BK)) {
+			if (!p->lbprm.fbck) {
+				/* there was no backup server anymore */
+				p->lbprm.fbck = srv;
+			} else {
+				/* we may have restored a backup server prior to fbck,
+				 * in which case it should replace it.
+				 */
+				struct server *srv2 = srv;
+				do {
+					srv2 = srv2->next;
+				} while (srv2 && (srv2 != p->lbprm.fbck));
+				if (srv2)
+					p->lbprm.fbck = srv;
+			}
+		}
+	} else {
+		p->lbprm.tot_wact += srv->eweight;
+		p->srv_act++;
+	}
+
+	/* note that eweight cannot be 0 here */
+	chash_queue_dequeue_srv(srv);
+
+ out_update_backend:
+	/* check/update tot_used, tot_weight */
+	update_backend_weight(p);
+ out_update_state:
+	srv->prev_state = srv->state;
+	srv->prev_eweight = srv->eweight;
+}
+
+/* This function must be called after an update to server <srv>'s effective
+ * weight. It may be called after a state change too.
+ */
+static void chash_update_server_weight(struct server *srv)
+{
+	int old_state, new_state;
+	struct proxy *p = srv->proxy;
+
+	if (srv->state == srv->prev_state &&
+	    srv->eweight == srv->prev_eweight)
+		return;
+
+	/* If changing the server's weight changes its state, we simply apply
+	 * the procedures we already have for status change. If the state
+	 * remains down, the server is not in any tree, so it's as easy as
+	 * updating its values. If the state remains up with different weights,
+	 * there are some computations to perform to find a new place and
+	 * possibly a new tree for this server.
+	 */
+
+	old_state = srv_is_usable(srv->prev_state, srv->prev_eweight);
+	new_state = srv_is_usable(srv->state, srv->eweight);
+
+	if (!old_state && !new_state) {
+		srv->prev_state = srv->state;
+		srv->prev_eweight = srv->eweight;
+		return;
+	}
+	else if (!old_state && new_state) {
+		chash_set_server_status_up(srv);
+		return;
+	}
+	else if (old_state && !new_state) {
+		chash_set_server_status_down(srv);
+		return;
+	}
+
+	/* only adjust the server's presence in the tree */
+	chash_queue_dequeue_srv(srv);
+
+	if (srv->state & SRV_BACKUP)
+		p->lbprm.tot_wbck += srv->eweight - srv->prev_eweight;
+	else
+		p->lbprm.tot_wact += srv->eweight - srv->prev_eweight;
+
+	update_backend_weight(p);
+	srv->prev_state = srv->state;
+	srv->prev_eweight = srv->eweight;
+}
+
+/*
+ * This function returns the running server from the CHASH tree, which is at
+ * the closest distance from the value of <hash>. Doing so ensures that even
+ * with a well imbalanced hash, if some servers are close to each other, they
+ * will still both receive traffic. If any server is found, it will be returned.
+ * If no valid server is found, NULL is returned.
+ */
+struct server *chash_get_server_hash(struct proxy *p, unsigned int hash)
+{
+	struct eb32_node *next, *prev;
+	struct server *nsrv, *psrv;
+	struct eb_root *root;
+	unsigned int dn, dp;
+
+	if (p->srv_act)
+		root = &p->lbprm.chash.act;
+	else if (p->lbprm.fbck)
+		return p->lbprm.fbck;
+	else if (p->srv_bck)
+		root = &p->lbprm.chash.bck;
+	else
+		return NULL;
+
+	hash = chash_hash(hash);
+
+	/* find the node after and the node before */
+	next = eb32_lookup_ge(root, hash);
+	if (!next)
+		next = eb32_first(root);
+	if (!next)
+		return NULL; /* tree is empty */
+
+	prev = eb32_prev(next);
+	if (!prev)
+		prev = eb32_last(root);
+
+	nsrv = eb32_entry(next, struct tree_occ, node)->server;
+	psrv = eb32_entry(prev, struct tree_occ, node)->server;
+	if (nsrv == psrv)
+		return nsrv;
+
+	/* OK we're located between two distinct servers, let's
+	 * compare distances between hash and the two servers
+	 * and select the closest server.
+	 */
+	dp = hash - prev->key;
+	dn = next->key - hash;
+
+	return (dp <= dn) ? psrv : nsrv;
+}
+
+/* Return next server from the CHASH tree in backend <p>. If the tree is empty,
+ * return NULL. Saturated servers are skipped.
+ */
+struct server *chash_get_next_server(struct proxy *p, struct server *srvtoavoid)
+{
+	struct server *srv, *avoided;
+	struct eb32_node *node, *stop, *avoided_node;
+	struct eb_root *root;
+
+	srv = avoided = NULL;
+	avoided_node = NULL;
+
+	if (p->srv_act)
+		root = &p->lbprm.chash.act;
+	else if (p->lbprm.fbck)
+		return p->lbprm.fbck;
+	else if (p->srv_bck)
+		root = &p->lbprm.chash.bck;
+	else
+		return NULL;
+
+	stop = node = p->lbprm.chash.last;
+	do {
+		struct server *s;
+
+		if (node)
+			node = eb32_next(node);
+		if (!node)
+			node = eb32_first(root);
+
+		p->lbprm.chash.last = node;
+		if (!node)
+			/* no node is available */
+			return NULL;
+
+		/* OK, we have a server. However, it may be saturated, in which
+		 * case we don't want to reconsider it for now, so we'll simply
+		 * skip it. Same if it's the server we try to avoid, in which
+		 * case we simply remember it for later use if needed.
+		 */
+		s = eb32_entry(node, struct tree_occ, node)->server;
+		if (!s->maxconn || (!s->nbpend && s->served < srv_dynamic_maxconn(s))) {
+			if (s != srvtoavoid) {
+				srv = s;
+				break;
+			}
+			avoided = s;
+			avoided_node = node;
+		}
+	} while (node != stop);
+
+	if (!srv) {
+		srv = avoided;
+		p->lbprm.chash.last = avoided_node;
+	}
+
+	return srv;
+}
+
+/* This function is responsible for building the active and backup trees for
+ * constistent hashing. The servers receive an array of initialized nodes
+ * with their assigned keys. It also sets p->lbprm.wdiv to the eweight to
+ * uweight ratio.
+ */
+void chash_init_server_tree(struct proxy *p)
+{
+	struct server *srv;
+	struct eb_root init_head = EB_ROOT;
+	int node;
+
+	p->lbprm.set_server_status_up   = chash_set_server_status_up;
+	p->lbprm.set_server_status_down = chash_set_server_status_down;
+	p->lbprm.update_server_eweight  = chash_update_server_weight;
+	p->lbprm.server_take_conn = NULL;
+	p->lbprm.server_drop_conn = NULL;
+
+	p->lbprm.wdiv = BE_WEIGHT_SCALE;
+	for (srv = p->srv; srv; srv = srv->next) {
+		srv->prev_eweight = srv->eweight = srv->uweight * BE_WEIGHT_SCALE;
+		srv->prev_state = srv->state;
+	}
+
+	recount_servers(p);
+	update_backend_weight(p);
+
+	p->lbprm.chash.act = init_head;
+	p->lbprm.chash.bck = init_head;
+	p->lbprm.chash.last = NULL;
+
+	/* queue active and backup servers in two distinct groups */
+	for (srv = p->srv; srv; srv = srv->next) {
+		srv->lb_tree = (srv->state & SRV_BACKUP) ? &p->lbprm.chash.bck : &p->lbprm.chash.act;
+		srv->lb_nodes_tot = srv->uweight * BE_WEIGHT_SCALE;
+		srv->lb_nodes_now = 0;
+		srv->lb_nodes = (struct tree_occ *)calloc(srv->lb_nodes_tot, sizeof(struct tree_occ));
+
+		for (node = 0; node < srv->lb_nodes_tot; node++) {
+			srv->lb_nodes[node].server = srv;
+			srv->lb_nodes[node].node.key = chash_hash(srv->puid * SRV_EWGHT_RANGE + node);
+		}
+
+		if (srv_is_usable(srv->state, srv->eweight))
+			chash_queue_dequeue_srv(srv);
+	}
+}