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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 18:49:45 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 18:49:45 +0000
commit2c3c1048746a4622d8c89a29670120dc8fab93c4 (patch)
tree848558de17fb3008cdf4d861b01ac7781903ce39 /tools/testing/selftests/net/timestamping.c
parentInitial commit. (diff)
downloadlinux-2c3c1048746a4622d8c89a29670120dc8fab93c4.tar.xz
linux-2c3c1048746a4622d8c89a29670120dc8fab93c4.zip
Adding upstream version 6.1.76.upstream/6.1.76
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'tools/testing/selftests/net/timestamping.c')
-rw-r--r--tools/testing/selftests/net/timestamping.c551
1 files changed, 551 insertions, 0 deletions
diff --git a/tools/testing/selftests/net/timestamping.c b/tools/testing/selftests/net/timestamping.c
new file mode 100644
index 000000000..044bc0e9e
--- /dev/null
+++ b/tools/testing/selftests/net/timestamping.c
@@ -0,0 +1,551 @@
+// SPDX-License-Identifier: GPL-2.0-only
+/*
+ * 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>
+ */
+
+#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>
+#include <linux/sockios.h>
+
+#ifndef SO_TIMESTAMPING
+# define SO_TIMESTAMPING 37
+# define SCM_TIMESTAMPING SO_TIMESTAMPING
+#endif
+
+#ifndef SO_TIMESTAMPNS
+# define SO_TIMESTAMPNS 35
+#endif
+
+static void usage(const char *error)
+{
+ if (error)
+ printf("invalid option: %s\n", error);
+ printf("timestamping <interface> [bind_phc_index] [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_RAW_HARDWARE - request reporting of raw HW time stamps\n"
+ " SOF_TIMESTAMPING_BIND_PHC - request to bind a PHC of PTP vclock\n"
+ " SIOCGSTAMP - check last socket time stamp\n"
+ " SIOCGSTAMPNS - more accurate socket time stamp\n"
+ " PTPV2 - use PTPv2 messages\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 const unsigned char sync_v2[] = {
+ 0x00, 0x02, 0x00, 0x2C,
+ 0x00, 0x00, 0x02, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0xFF,
+ 0xFE, 0x00, 0x00, 0x00,
+ 0x00, 0x01, 0x00, 0x01,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00,
+};
+
+static void sendpacket(int sock, struct sockaddr *addr, socklen_t addr_len, int ptpv2)
+{
+ size_t sync_len = ptpv2 ? sizeof(sync_v2) : sizeof(sync);
+ const void *sync_p = ptpv2 ? sync_v2 : sync;
+ struct timeval now;
+ int res;
+
+ res = sendto(sock, sync_p, sync_len, 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, int ptpv2)
+{
+ struct sockaddr_in *from_addr = (struct sockaddr_in *)msg->msg_name;
+ size_t sync_len = ptpv2 ? sizeof(sync_v2) : sizeof(sync);
+ const void *sync_p = ptpv2 ? sync_v2 : sync;
+ 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, %zu 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 %zu: ", 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++;
+ /* skip deprecated HW transformed */
+ 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 < sync_len)
+ printf(" => truncated data?!");
+ else if (!memcmp(sync_p, data + res - sync_len, sync_len))
+ 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, int ptpv2)
+{
+ 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, ptpv2);
+ }
+}
+
+int main(int argc, char **argv)
+{
+ int so_timestamp = 0;
+ int so_timestampns = 0;
+ int siocgstamp = 0;
+ int siocgstampns = 0;
+ int ip_multicast_loop = 0;
+ int ptpv2 = 0;
+ char *interface;
+ int i;
+ int enabled = 1;
+ int sock;
+ struct ifreq device;
+ struct ifreq hwtstamp;
+ struct hwtstamp_config hwconfig, hwconfig_requested;
+ struct so_timestamping so_timestamping_get = { 0, 0 };
+ struct so_timestamping so_timestamping = { 0, 0 };
+ struct sockaddr_in addr;
+ struct ip_mreq imr;
+ struct in_addr iaddr;
+ int val;
+ socklen_t len;
+ struct timeval next;
+ size_t if_len;
+
+ if (argc < 2)
+ usage(0);
+ interface = argv[1];
+ if_len = strlen(interface);
+ if (if_len >= IFNAMSIZ) {
+ printf("interface name exceeds IFNAMSIZ\n");
+ exit(1);
+ }
+
+ if (argc >= 3 && sscanf(argv[2], "%d", &so_timestamping.bind_phc) == 1)
+ val = 3;
+ else
+ val = 2;
+
+ for (i = val; 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], "PTPV2"))
+ ptpv2 = 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_RAW_HARDWARE"))
+ so_timestamping.flags |= SOF_TIMESTAMPING_RAW_HARDWARE;
+ else if (!strcasecmp(argv[i], "SOF_TIMESTAMPING_BIND_PHC"))
+ so_timestamping.flags |= SOF_TIMESTAMPING_BIND_PHC;
+ else
+ usage(argv[i]);
+ }
+
+ sock = socket(PF_INET, SOCK_DGRAM, IPPROTO_UDP);
+ if (sock < 0)
+ bail("socket");
+
+ memset(&device, 0, sizeof(device));
+ memcpy(device.ifr_name, interface, if_len + 1);
+ if (ioctl(sock, SIOCGIFADDR, &device) < 0)
+ bail("getting interface IP address");
+
+ memset(&hwtstamp, 0, sizeof(hwtstamp));
+ memcpy(hwtstamp.ifr_name, interface, if_len + 1);
+ 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) ?
+ ptpv2 ? HWTSTAMP_FILTER_PTP_V2_L4_SYNC :
+ 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");
+
+ if (setsockopt(sock, SOL_SOCKET, SO_BINDTODEVICE, interface, if_len))
+ bail("bind device");
+
+ /* 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,
+ sizeof(so_timestamping)) < 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);
+
+ len = sizeof(so_timestamping_get);
+ if (getsockopt(sock, SOL_SOCKET, SO_TIMESTAMPING, &so_timestamping_get,
+ &len) < 0) {
+ printf("%s: %s\n", "getsockopt SO_TIMESTAMPING",
+ strerror(errno));
+ } else {
+ printf("SO_TIMESTAMPING flags %d, bind phc %d\n",
+ so_timestamping_get.flags, so_timestamping_get.bind_phc);
+ if (so_timestamping_get.flags != so_timestamping.flags ||
+ so_timestamping_get.bind_phc != so_timestamping.bind_phc)
+ printf(" not expected, flags %d, bind phc %d\n",
+ so_timestamping.flags, so_timestamping.bind_phc);
+ }
+
+ /* 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, ptpv2);
+ recvpacket(sock, MSG_ERRQUEUE,
+ siocgstamp,
+ siocgstampns, ptpv2);
+ }
+ } else {
+ /* write one packet */
+ sendpacket(sock,
+ (struct sockaddr *)&addr,
+ sizeof(addr), ptpv2);
+ next.tv_sec += 5;
+ continue;
+ }
+ }
+
+ return 0;
+}