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authorPatrick Ohly <patrick.ohly@intel.com>2009-02-12 05:03:36 +0000
committerDavid S. Miller <davem@davemloft.net>2009-02-15 22:43:33 -0800
commitcb9eff097831007afb30d64373f29d99825d0068 (patch)
tree823a5668c6f4b3f577a1d4cc73b3df2d7e33c5c4 /Documentation/networking/timestamping
parenta75244c3d519fcb490ca2bf3f123c98017f1e8d0 (diff)
net: new user space API for time stamping of incoming and outgoing packets
User space can request hardware and/or software time stamping. Reporting of the result(s) via a new control message is enabled separately for each field in the message because some of the fields may require additional computation and thus cause overhead. User space can tell the different kinds of time stamps apart and choose what suits its needs. When a TX timestamp operation is requested, the TX skb will be cloned and the clone will be time stamped (in hardware or software) and added to the socket error queue of the skb, if the skb has a socket associated with it. The actual TX timestamp will reach userspace as a RX timestamp on the cloned packet. If timestamping is requested and no timestamping is done in the device driver (potentially this may use hardware timestamping), it will be done in software after the device's start_hard_xmit routine. Signed-off-by: Patrick Ohly <patrick.ohly@intel.com> Signed-off-by: David S. Miller <davem@davemloft.net>
Diffstat (limited to 'Documentation/networking/timestamping')
-rw-r--r--Documentation/networking/timestamping/.gitignore1
-rw-r--r--Documentation/networking/timestamping/Makefile6
-rw-r--r--Documentation/networking/timestamping/timestamping.c533
3 files changed, 540 insertions, 0 deletions
diff --git a/Documentation/networking/timestamping/.gitignore b/Documentation/networking/timestamping/.gitignore
new file mode 100644
index 00000000000..71e81eb2e22
--- /dev/null
+++ b/Documentation/networking/timestamping/.gitignore
@@ -0,0 +1 @@
+timestamping
diff --git a/Documentation/networking/timestamping/Makefile b/Documentation/networking/timestamping/Makefile
new file mode 100644
index 00000000000..2a1489fdc03
--- /dev/null
+++ b/Documentation/networking/timestamping/Makefile
@@ -0,0 +1,6 @@
+CPPFLAGS = -I../../../include
+
+timestamping: timestamping.c
+
+clean:
+ rm -f timestamping
diff --git a/Documentation/networking/timestamping/timestamping.c b/Documentation/networking/timestamping/timestamping.c
new file mode 100644
index 00000000000..43d14310421
--- /dev/null
+++ b/Documentation/networking/timestamping/timestamping.c
@@ -0,0 +1,533 @@
+/*
+ * This program demonstrates how the various time stamping features in
+ * the Linux kernel work. It emulates the behavior of a PTP
+ * implementation in stand-alone master mode by sending PTPv1 Sync
+ * multicasts once every second. It looks for similar packets, but
+ * beyond that doesn't actually implement PTP.
+ *
+ * Outgoing packets are time stamped with SO_TIMESTAMPING with or
+ * without hardware support.
+ *
+ * Incoming packets are time stamped with SO_TIMESTAMPING with or
+ * without hardware support, SIOCGSTAMP[NS] (per-socket time stamp) and
+ * SO_TIMESTAMP[NS].
+ *
+ * Copyright (C) 2009 Intel Corporation.
+ * Author: Patrick Ohly <patrick.ohly@intel.com>
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms and conditions of the GNU General Public License,
+ * version 2, as published by the Free Software Foundation.
+ *
+ * This program is distributed in the hope it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ * FITNESS FOR A PARTICULAR PURPOSE. * See the GNU General Public License for
+ * more details.
+ *
+ * You should have received a copy of the GNU General Public License along with
+ * this program; if not, write to the Free Software Foundation, Inc.,
+ * 51 Franklin St - Fifth Floor, Boston, MA 02110-1301 USA.
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <errno.h>
+#include <string.h>
+
+#include <sys/time.h>
+#include <sys/socket.h>
+#include <sys/select.h>
+#include <sys/ioctl.h>
+#include <arpa/inet.h>
+#include <net/if.h>
+
+#include "asm/types.h"
+#include "linux/net_tstamp.h"
+#include "linux/errqueue.h"
+
+#ifndef SO_TIMESTAMPING
+# define SO_TIMESTAMPING 37
+# define SCM_TIMESTAMPING SO_TIMESTAMPING
+#endif
+
+#ifndef SO_TIMESTAMPNS
+# define SO_TIMESTAMPNS 35
+#endif
+
+#ifndef SIOCGSTAMPNS
+# define SIOCGSTAMPNS 0x8907
+#endif
+
+#ifndef SIOCSHWTSTAMP
+# define SIOCSHWTSTAMP 0x89b0
+#endif
+
+static void usage(const char *error)
+{
+ if (error)
+ printf("invalid option: %s\n", error);
+ printf("timestamping interface option*\n\n"
+ "Options:\n"
+ " IP_MULTICAST_LOOP - looping outgoing multicasts\n"
+ " SO_TIMESTAMP - normal software time stamping, ms resolution\n"
+ " SO_TIMESTAMPNS - more accurate software time stamping\n"
+ " SOF_TIMESTAMPING_TX_HARDWARE - hardware time stamping of outgoing packets\n"
+ " SOF_TIMESTAMPING_TX_SOFTWARE - software fallback for outgoing packets\n"
+ " SOF_TIMESTAMPING_RX_HARDWARE - hardware time stamping of incoming packets\n"
+ " SOF_TIMESTAMPING_RX_SOFTWARE - software fallback for incoming packets\n"
+ " SOF_TIMESTAMPING_SOFTWARE - request reporting of software time stamps\n"
+ " SOF_TIMESTAMPING_SYS_HARDWARE - request reporting of transformed HW time stamps\n"
+ " SOF_TIMESTAMPING_RAW_HARDWARE - request reporting of raw HW time stamps\n"
+ " SIOCGSTAMP - check last socket time stamp\n"
+ " SIOCGSTAMPNS - more accurate socket time stamp\n");
+ exit(1);
+}
+
+static void bail(const char *error)
+{
+ printf("%s: %s\n", error, strerror(errno));
+ exit(1);
+}
+
+static const unsigned char sync[] = {
+ 0x00, 0x01, 0x00, 0x01,
+ 0x5f, 0x44, 0x46, 0x4c,
+ 0x54, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x01, 0x01,
+
+ /* fake uuid */
+ 0x00, 0x01,
+ 0x02, 0x03, 0x04, 0x05,
+
+ 0x00, 0x01, 0x00, 0x37,
+ 0x00, 0x00, 0x00, 0x08,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x49, 0x05, 0xcd, 0x01,
+ 0x29, 0xb1, 0x8d, 0xb0,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x01,
+
+ /* fake uuid */
+ 0x00, 0x01,
+ 0x02, 0x03, 0x04, 0x05,
+
+ 0x00, 0x00, 0x00, 0x37,
+ 0x00, 0x00, 0x00, 0x04,
+ 0x44, 0x46, 0x4c, 0x54,
+ 0x00, 0x00, 0xf0, 0x60,
+ 0x00, 0x01, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x01,
+ 0x00, 0x00, 0xf0, 0x60,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x04,
+ 0x44, 0x46, 0x4c, 0x54,
+ 0x00, 0x01,
+
+ /* fake uuid */
+ 0x00, 0x01,
+ 0x02, 0x03, 0x04, 0x05,
+
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00
+};
+
+static void sendpacket(int sock, struct sockaddr *addr, socklen_t addr_len)
+{
+ struct timeval now;
+ int res;
+
+ res = sendto(sock, sync, sizeof(sync), 0,
+ addr, addr_len);
+ gettimeofday(&now, 0);
+ if (res < 0)
+ printf("%s: %s\n", "send", strerror(errno));
+ else
+ printf("%ld.%06ld: sent %d bytes\n",
+ (long)now.tv_sec, (long)now.tv_usec,
+ res);
+}
+
+static void printpacket(struct msghdr *msg, int res,
+ char *data,
+ int sock, int recvmsg_flags,
+ int siocgstamp, int siocgstampns)
+{
+ struct sockaddr_in *from_addr = (struct sockaddr_in *)msg->msg_name;
+ struct cmsghdr *cmsg;
+ struct timeval tv;
+ struct timespec ts;
+ struct timeval now;
+
+ gettimeofday(&now, 0);
+
+ printf("%ld.%06ld: received %s data, %d bytes from %s, %d bytes control messages\n",
+ (long)now.tv_sec, (long)now.tv_usec,
+ (recvmsg_flags & MSG_ERRQUEUE) ? "error" : "regular",
+ res,
+ inet_ntoa(from_addr->sin_addr),
+ msg->msg_controllen);
+ for (cmsg = CMSG_FIRSTHDR(msg);
+ cmsg;
+ cmsg = CMSG_NXTHDR(msg, cmsg)) {
+ printf(" cmsg len %d: ", cmsg->cmsg_len);
+ switch (cmsg->cmsg_level) {
+ case SOL_SOCKET:
+ printf("SOL_SOCKET ");
+ switch (cmsg->cmsg_type) {
+ case SO_TIMESTAMP: {
+ struct timeval *stamp =
+ (struct timeval *)CMSG_DATA(cmsg);
+ printf("SO_TIMESTAMP %ld.%06ld",
+ (long)stamp->tv_sec,
+ (long)stamp->tv_usec);
+ break;
+ }
+ case SO_TIMESTAMPNS: {
+ struct timespec *stamp =
+ (struct timespec *)CMSG_DATA(cmsg);
+ printf("SO_TIMESTAMPNS %ld.%09ld",
+ (long)stamp->tv_sec,
+ (long)stamp->tv_nsec);
+ break;
+ }
+ case SO_TIMESTAMPING: {
+ struct timespec *stamp =
+ (struct timespec *)CMSG_DATA(cmsg);
+ printf("SO_TIMESTAMPING ");
+ printf("SW %ld.%09ld ",
+ (long)stamp->tv_sec,
+ (long)stamp->tv_nsec);
+ stamp++;
+ printf("HW transformed %ld.%09ld ",
+ (long)stamp->tv_sec,
+ (long)stamp->tv_nsec);
+ stamp++;
+ printf("HW raw %ld.%09ld",
+ (long)stamp->tv_sec,
+ (long)stamp->tv_nsec);
+ break;
+ }
+ default:
+ printf("type %d", cmsg->cmsg_type);
+ break;
+ }
+ break;
+ case IPPROTO_IP:
+ printf("IPPROTO_IP ");
+ switch (cmsg->cmsg_type) {
+ case IP_RECVERR: {
+ struct sock_extended_err *err =
+ (struct sock_extended_err *)CMSG_DATA(cmsg);
+ printf("IP_RECVERR ee_errno '%s' ee_origin %d => %s",
+ strerror(err->ee_errno),
+ err->ee_origin,
+#ifdef SO_EE_ORIGIN_TIMESTAMPING
+ err->ee_origin == SO_EE_ORIGIN_TIMESTAMPING ?
+ "bounced packet" : "unexpected origin"
+#else
+ "probably SO_EE_ORIGIN_TIMESTAMPING"
+#endif
+ );
+ if (res < sizeof(sync))
+ printf(" => truncated data?!");
+ else if (!memcmp(sync, data + res - sizeof(sync),
+ sizeof(sync)))
+ printf(" => GOT OUR DATA BACK (HURRAY!)");
+ break;
+ }
+ case IP_PKTINFO: {
+ struct in_pktinfo *pktinfo =
+ (struct in_pktinfo *)CMSG_DATA(cmsg);
+ printf("IP_PKTINFO interface index %u",
+ pktinfo->ipi_ifindex);
+ break;
+ }
+ default:
+ printf("type %d", cmsg->cmsg_type);
+ break;
+ }
+ break;
+ default:
+ printf("level %d type %d",
+ cmsg->cmsg_level,
+ cmsg->cmsg_type);
+ break;
+ }
+ printf("\n");
+ }
+
+ if (siocgstamp) {
+ if (ioctl(sock, SIOCGSTAMP, &tv))
+ printf(" %s: %s\n", "SIOCGSTAMP", strerror(errno));
+ else
+ printf("SIOCGSTAMP %ld.%06ld\n",
+ (long)tv.tv_sec,
+ (long)tv.tv_usec);
+ }
+ if (siocgstampns) {
+ if (ioctl(sock, SIOCGSTAMPNS, &ts))
+ printf(" %s: %s\n", "SIOCGSTAMPNS", strerror(errno));
+ else
+ printf("SIOCGSTAMPNS %ld.%09ld\n",
+ (long)ts.tv_sec,
+ (long)ts.tv_nsec);
+ }
+}
+
+static void recvpacket(int sock, int recvmsg_flags,
+ int siocgstamp, int siocgstampns)
+{
+ char data[256];
+ struct msghdr msg;
+ struct iovec entry;
+ struct sockaddr_in from_addr;
+ struct {
+ struct cmsghdr cm;
+ char control[512];
+ } control;
+ int res;
+
+ memset(&msg, 0, sizeof(msg));
+ msg.msg_iov = &entry;
+ msg.msg_iovlen = 1;
+ entry.iov_base = data;
+ entry.iov_len = sizeof(data);
+ msg.msg_name = (caddr_t)&from_addr;
+ msg.msg_namelen = sizeof(from_addr);
+ msg.msg_control = &control;
+ msg.msg_controllen = sizeof(control);
+
+ res = recvmsg(sock, &msg, recvmsg_flags|MSG_DONTWAIT);
+ if (res < 0) {
+ printf("%s %s: %s\n",
+ "recvmsg",
+ (recvmsg_flags & MSG_ERRQUEUE) ? "error" : "regular",
+ strerror(errno));
+ } else {
+ printpacket(&msg, res, data,
+ sock, recvmsg_flags,
+ siocgstamp, siocgstampns);
+ }
+}
+
+int main(int argc, char **argv)
+{
+ int so_timestamping_flags = 0;
+ int so_timestamp = 0;
+ int so_timestampns = 0;
+ int siocgstamp = 0;
+ int siocgstampns = 0;
+ int ip_multicast_loop = 0;
+ char *interface;
+ int i;
+ int enabled = 1;
+ int sock;
+ struct ifreq device;
+ struct ifreq hwtstamp;
+ struct hwtstamp_config hwconfig, hwconfig_requested;
+ struct sockaddr_in addr;
+ struct ip_mreq imr;
+ struct in_addr iaddr;
+ int val;
+ socklen_t len;
+ struct timeval next;
+
+ if (argc < 2)
+ usage(0);
+ interface = argv[1];
+
+ for (i = 2; i < argc; i++) {
+ if (!strcasecmp(argv[i], "SO_TIMESTAMP"))
+ so_timestamp = 1;
+ else if (!strcasecmp(argv[i], "SO_TIMESTAMPNS"))
+ so_timestampns = 1;
+ else if (!strcasecmp(argv[i], "SIOCGSTAMP"))
+ siocgstamp = 1;
+ else if (!strcasecmp(argv[i], "SIOCGSTAMPNS"))
+ siocgstampns = 1;
+ else if (!strcasecmp(argv[i], "IP_MULTICAST_LOOP"))
+ ip_multicast_loop = 1;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_TX_HARDWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_TX_HARDWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_TX_SOFTWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_TX_SOFTWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_RX_HARDWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_RX_HARDWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_RX_SOFTWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_RX_SOFTWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_SOFTWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_SOFTWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_SYS_HARDWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_SYS_HARDWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_RAW_HARDWARE"))
+ so_timestamping_flags |= SOF_TIMESTAMPING_RAW_HARDWARE;
+ else
+ usage(argv[i]);
+ }
+
+ sock = socket(PF_INET, SOCK_DGRAM, IPPROTO_UDP);
+ if (socket < 0)
+ bail("socket");
+
+ memset(&device, 0, sizeof(device));
+ strncpy(device.ifr_name, interface, sizeof(device.ifr_name));
+ if (ioctl(sock, SIOCGIFADDR, &device) < 0)
+ bail("getting interface IP address");
+
+ memset(&hwtstamp, 0, sizeof(hwtstamp));
+ strncpy(hwtstamp.ifr_name, interface, sizeof(hwtstamp.ifr_name));
+ hwtstamp.ifr_data = (void *)&hwconfig;
+ memset(&hwconfig, 0, sizeof(&hwconfig));
+ hwconfig.tx_type =
+ (so_timestamping_flags & SOF_TIMESTAMPING_TX_HARDWARE) ?
+ HWTSTAMP_TX_ON : HWTSTAMP_TX_OFF;
+ hwconfig.rx_filter =
+ (so_timestamping_flags & SOF_TIMESTAMPING_RX_HARDWARE) ?
+ HWTSTAMP_FILTER_PTP_V1_L4_SYNC : HWTSTAMP_FILTER_NONE;
+ hwconfig_requested = hwconfig;
+ if (ioctl(sock, SIOCSHWTSTAMP, &hwtstamp) < 0) {
+ if ((errno == EINVAL || errno == ENOTSUP) &&
+ hwconfig_requested.tx_type == HWTSTAMP_TX_OFF &&
+ hwconfig_requested.rx_filter == HWTSTAMP_FILTER_NONE)
+ printf("SIOCSHWTSTAMP: disabling hardware time stamping not possible\n");
+ else
+ bail("SIOCSHWTSTAMP");
+ }
+ printf("SIOCSHWTSTAMP: tx_type %d requested, got %d; rx_filter %d requested, got %d\n",
+ hwconfig_requested.tx_type, hwconfig.tx_type,
+ hwconfig_requested.rx_filter, hwconfig.rx_filter);
+
+ /* bind to PTP port */
+ addr.sin_family = AF_INET;
+ addr.sin_addr.s_addr = htonl(INADDR_ANY);
+ addr.sin_port = htons(319 /* PTP event port */);
+ if (bind(sock,
+ (struct sockaddr *)&addr,
+ sizeof(struct sockaddr_in)) < 0)
+ bail("bind");
+
+ /* set multicast group for outgoing packets */
+ inet_aton("224.0.1.130", &iaddr); /* alternate PTP domain 1 */
+ addr.sin_addr = iaddr;
+ imr.imr_multiaddr.s_addr = iaddr.s_addr;
+ imr.imr_interface.s_addr =
+ ((struct sockaddr_in *)&device.ifr_addr)->sin_addr.s_addr;
+ if (setsockopt(sock, IPPROTO_IP, IP_MULTICAST_IF,
+ &imr.imr_interface.s_addr, sizeof(struct in_addr)) < 0)
+ bail("set multicast");
+
+ /* join multicast group, loop our own packet */
+ if (setsockopt(sock, IPPROTO_IP, IP_ADD_MEMBERSHIP,
+ &imr, sizeof(struct ip_mreq)) < 0)
+ bail("join multicast group");
+
+ if (setsockopt(sock, IPPROTO_IP, IP_MULTICAST_LOOP,
+ &ip_multicast_loop, sizeof(enabled)) < 0) {
+ bail("loop multicast");
+ }
+
+ /* set socket options for time stamping */
+ if (so_timestamp &&
+ setsockopt(sock, SOL_SOCKET, SO_TIMESTAMP,
+ &enabled, sizeof(enabled)) < 0)
+ bail("setsockopt SO_TIMESTAMP");
+
+ if (so_timestampns &&
+ setsockopt(sock, SOL_SOCKET, SO_TIMESTAMPNS,
+ &enabled, sizeof(enabled)) < 0)
+ bail("setsockopt SO_TIMESTAMPNS");
+
+ if (so_timestamping_flags &&
+ setsockopt(sock, SOL_SOCKET, SO_TIMESTAMPING,
+ &so_timestamping_flags,
+ sizeof(so_timestamping_flags)) < 0)
+ bail("setsockopt SO_TIMESTAMPING");
+
+ /* request IP_PKTINFO for debugging purposes */
+ if (setsockopt(sock, SOL_IP, IP_PKTINFO,
+ &enabled, sizeof(enabled)) < 0)
+ printf("%s: %s\n", "setsockopt IP_PKTINFO", strerror(errno));
+
+ /* verify socket options */
+ len = sizeof(val);
+ if (getsockopt(sock, SOL_SOCKET, SO_TIMESTAMP, &val, &len) < 0)
+ printf("%s: %s\n", "getsockopt SO_TIMESTAMP", strerror(errno));
+ else
+ printf("SO_TIMESTAMP %d\n", val);
+
+ if (getsockopt(sock, SOL_SOCKET, SO_TIMESTAMPNS, &val, &len) < 0)
+ printf("%s: %s\n", "getsockopt SO_TIMESTAMPNS",
+ strerror(errno));
+ else
+ printf("SO_TIMESTAMPNS %d\n", val);
+
+ if (getsockopt(sock, SOL_SOCKET, SO_TIMESTAMPING, &val, &len) < 0) {
+ printf("%s: %s\n", "getsockopt SO_TIMESTAMPING",
+ strerror(errno));
+ } else {
+ printf("SO_TIMESTAMPING %d\n", val);
+ if (val != so_timestamping_flags)
+ printf(" not the expected value %d\n",
+ so_timestamping_flags);
+ }
+
+ /* send packets forever every five seconds */
+ gettimeofday(&next, 0);
+ next.tv_sec = (next.tv_sec + 1) / 5 * 5;
+ next.tv_usec = 0;
+ while (1) {
+ struct timeval now;
+ struct timeval delta;
+ long delta_us;
+ int res;
+ fd_set readfs, errorfs;
+
+ gettimeofday(&now, 0);
+ delta_us = (long)(next.tv_sec - now.tv_sec) * 1000000 +
+ (long)(next.tv_usec - now.tv_usec);
+ if (delta_us > 0) {
+ /* continue waiting for timeout or data */
+ delta.tv_sec = delta_us / 1000000;
+ delta.tv_usec = delta_us % 1000000;
+
+ FD_ZERO(&readfs);
+ FD_ZERO(&errorfs);
+ FD_SET(sock, &readfs);
+ FD_SET(sock, &errorfs);
+ printf("%ld.%06ld: select %ldus\n",
+ (long)now.tv_sec, (long)now.tv_usec,
+ delta_us);
+ res = select(sock + 1, &readfs, 0, &errorfs, &delta);
+ gettimeofday(&now, 0);
+ printf("%ld.%06ld: select returned: %d, %s\n",
+ (long)now.tv_sec, (long)now.tv_usec,
+ res,
+ res < 0 ? strerror(errno) : "success");
+ if (res > 0) {
+ if (FD_ISSET(sock, &readfs))
+ printf("ready for reading\n");
+ if (FD_ISSET(sock, &errorfs))
+ printf("has error\n");
+ recvpacket(sock, 0,
+ siocgstamp,
+ siocgstampns);
+ recvpacket(sock, MSG_ERRQUEUE,
+ siocgstamp,
+ siocgstampns);
+ }
+ } else {
+ /* write one packet */
+ sendpacket(sock,
+ (struct sockaddr *)&addr,
+ sizeof(addr));
+ next.tv_sec += 5;
+ continue;
+ }
+ }
+
+ return 0;
+}