diff --git a/time/tzfile.c b/time/tzfile.c
index 15d1890892..e60c3c0b9c 100644
--- a/time/tzfile.c
+++ b/time/tzfile.c
@@ -17,6 +17,8 @@
 
 #include <assert.h>
 #include <limits.h>
+#include <stdalign.h>
+#include <stdckdint.h>
 #include <stdio.h>
 #include <stdio_ext.h>
 #include <stdlib.h>
@@ -48,17 +50,23 @@ struct ttinfo
 struct leap
   {
     __time64_t transition;	/* Time the transition takes effect.  */
-    long int change;		/* Seconds of correction to apply.  */
+    int change;			/* Seconds of correction to apply.  */
   };
 
-static size_t num_transitions;
+/* Internal index derived from a count taken from a TZif file.
+   These counts are at most 2**32 - 1; see Internet RFC 9636.
+   Although this type is currently unsigned to save time and/or space,
+   code ordinarily should not assume it is unsigned.  */
+typedef unsigned int tzidx;
+
+static tzidx num_transitions;
 static __time64_t *transitions;
 static unsigned char *type_idxs;
-static size_t num_types;
+static tzidx num_types;
 static struct ttinfo *types;
 static char *zone_names;
 static long int rule_stdoff;
-static size_t num_leaps;
+static tzidx num_leaps;
 static struct leap *leaps;
 static char *tzspec;
 
@@ -69,19 +77,25 @@ static int daylight_saved;
 #include <endian.h>
 #include <byteswap.h>
 
-/* Decode the four bytes at PTR as a signed integer in network byte order.  */
-static inline int
+/* Decode the four bytes at PTR as a tzidx in network byte order.  */
+static inline tzidx
 __attribute ((always_inline))
-decode (const void *ptr)
+tzidx_decode (const void *ptr)
 {
-  if (BYTE_ORDER == BIG_ENDIAN && sizeof (int) == 4)
-    return *(const int *) ptr;
-  if (sizeof (int) == 4)
-    return bswap_32 (*(const int *) ptr);
-
-  const unsigned char *p = ptr;
-  int result = *p & (1 << (CHAR_BIT - 1)) ? ~0 : 0;
+  if (sizeof (tzidx) == 4
+      && offsetof (struct tzhead, tzh_timecnt) % alignof (tzidx) == 0
+      && offsetof (struct tzhead, tzh_typecnt) % alignof (tzidx) == 0
+      && offsetof (struct tzhead, tzh_charcnt) % alignof (tzidx) == 0
+      && offsetof (struct tzhead, tzh_leapcnt) % alignof (tzidx) == 0
+      && offsetof (struct tzhead, tzh_ttisstdcnt) % alignof (tzidx) == 0
+      && offsetof (struct tzhead, tzh_ttisutcnt) % alignof (tzidx) == 0)
+    {
+      tzidx const *uptr = ptr, i = *uptr;
+      return BYTE_ORDER == BIG_ENDIAN ? i : bswap_32 (i);
+    }
 
+  unsigned char const *p = ptr;
+  unsigned long result = 0;
   result = (result << 8) | *p++;
   result = (result << 8) | *p++;
   result = (result << 8) | *p++;
@@ -90,15 +104,37 @@ decode (const void *ptr)
   return result;
 }
 
+/* Decode the four bytes at PTR as a signed int in network byte order.  */
+static inline int
+__attribute ((always_inline))
+decode (const void *ptr)
+{
+  tzidx i = tzidx_decode (ptr);
+  if ((UINT_MAX >> 31) == 1 && INT_MAX == UINT_MAX / 2 && (int) UINT_MAX == -1)
+    return i;
+
+  /* An unusual platform.  Explicitly extend the sign.  */
+  if (i <= INT_MAX)
+    return i;
+  int r = ~i;
+  return ~r;
+}
 
 static inline int64_t
 __attribute ((always_inline))
 decode64 (const void *ptr)
 {
-  if ((BYTE_ORDER == BIG_ENDIAN))
-    return *(const int64_t *) ptr;
+  if (sizeof (int64_t) == 8)
+    {
+      int64_t const *p = ptr, i = *p;
+      return BYTE_ORDER == BIG_ENDIAN ? i : bswap_64 (i);
+    }
 
-  return bswap_64 (*(const int64_t *) ptr);
+  unsigned char const *p = ptr;
+  uint64_t result = 0; /* uint64_t avoids undefined behavior with <<.  */
+  for (int i = 0; i < 8; i++)
+    result = (result << 8) | p[i];
+  return result;
 }
 
 
@@ -106,11 +142,11 @@ void
 __tzfile_read (const char *file)
 {
   static const char default_tzdir[] = TZDIR;
-  size_t num_isstd, num_isgmt;
+  tzidx num_isstd, num_isgmt;
   FILE *f;
-  struct tzhead tzhead;
-  size_t chars;
-  size_t i;
+  union { struct tzhead tzhead; tzidx tzidx_aligned; } u;
+  tzidx chars;
+  tzidx i;
   int was_using_tzfile = __use_tzfile;
   int trans_width = 4;
   char *new = NULL;
@@ -174,7 +210,7 @@ __tzfile_read (const char *file)
   if (__fstat64_time64 (__fileno (f), &st) != 0)
     goto lose;
 
-  free ((void *) transitions);
+  free (transitions);
   transitions = NULL;
 
   /* Remember the inode and device number and modification time.  */
@@ -186,34 +222,41 @@ __tzfile_read (const char *file)
   __fsetlocking (f, FSETLOCKING_BYCALLER);
 
  read_again:
-  if (__builtin_expect (__fread_unlocked ((void *) &tzhead, sizeof (tzhead),
-					  1, f) != 1, 0)
-      || memcmp (tzhead.tzh_magic, TZ_MAGIC, sizeof (tzhead.tzh_magic)) != 0)
+  if (__builtin_expect (__fread_unlocked (&u, sizeof u.tzhead, 1, f) != 1, 0)
+      || memcmp (u.tzhead.tzh_magic, TZ_MAGIC, sizeof u.tzhead.tzh_magic) != 0)
     goto lose;
+  f_offset += sizeof u.tzhead;
 
-  f_offset += sizeof tzhead;
-  num_transitions = (size_t) decode (tzhead.tzh_timecnt);
-  num_types = (size_t) decode (tzhead.tzh_typecnt);
-  chars = (size_t) decode (tzhead.tzh_charcnt);
-  num_leaps = (size_t) decode (tzhead.tzh_leapcnt);
-  num_isstd = (size_t) decode (tzhead.tzh_ttisstdcnt);
-  num_isgmt = (size_t) decode (tzhead.tzh_ttisutcnt);
+  num_transitions = tzidx_decode (u.tzhead.tzh_timecnt);
+  num_types = tzidx_decode (u.tzhead.tzh_typecnt);
+  chars = tzidx_decode (u.tzhead.tzh_charcnt);
+  num_leaps = tzidx_decode (u.tzhead.tzh_leapcnt);
+  num_isstd = tzidx_decode (u.tzhead.tzh_ttisstdcnt);
+  num_isgmt = tzidx_decode (u.tzhead.tzh_ttisutcnt);
 
-  if (__glibc_unlikely (num_isstd > num_types || num_isgmt > num_types))
+  if (__glibc_unlikely (num_isstd > num_types || num_isgmt > num_types
+			|| !num_types))
     goto lose;
 
-  if (trans_width == 4 && tzhead.tzh_version[0] != '\0')
+  if (trans_width == 4 && u.tzhead.tzh_version[0] != '\0')
     {
       /* We use the 8-byte format.  */
       trans_width = 8;
 
       /* Position the stream before the second header.  */
-      size_t to_skip = (num_transitions * (4 + 1)
-			+ num_types * 6
-			+ chars
-			+ num_leaps * 8
-			+ num_isstd
-			+ num_isgmt);
+      off_t to_skip, product;
+      bool v = false;
+      v |= ckd_mul (&to_skip, num_transitions, 4 + 1);
+      v |= ckd_mul (&product, num_types, 6);
+      v |= ckd_add (&to_skip, to_skip, product);
+      v |= ckd_add (&to_skip, to_skip, chars);
+      v |= ckd_mul (&product, num_leaps, 8);
+      v |= ckd_add (&to_skip, to_skip, product);
+      v |= ckd_add (&to_skip, to_skip, num_isstd);
+      v |= ckd_add (&to_skip, to_skip, num_isgmt);
+      if (v)
+	goto lose;
+
       if (fseek (f, to_skip, SEEK_CUR) != 0)
 	goto lose;
 
@@ -222,34 +265,29 @@ __tzfile_read (const char *file)
     }
 
   /* Compute the size of the POSIX time zone specification in the
-     file.  */
-  size_t tzspec_len;
+     file.  This includes the trailing but not the leading newline.  */
+  size_t tzspec_size;
   if (trans_width == 8)
     {
-      off_t rem = st.st_size - f_offset;
-      if (__builtin_expect (rem < 0
-			    || (size_t) rem < (num_transitions * (8 + 1)
-					       + num_types * 6
-					       + chars), 0))
-	goto lose;
-      tzspec_len = (size_t) rem - (num_transitions * (8 + 1)
-				   + num_types * 6
-				   + chars);
-      if (__builtin_expect (num_leaps > SIZE_MAX / 12
-			    || tzspec_len < num_leaps * 12, 0))
-	goto lose;
-      tzspec_len -= num_leaps * 12;
-      if (__glibc_unlikely (tzspec_len < num_isstd))
-	goto lose;
-      tzspec_len -= num_isstd;
-      if (__glibc_unlikely (tzspec_len == 0 || tzspec_len - 1 < num_isgmt))
-	goto lose;
-      tzspec_len -= num_isgmt + 1;
-      if (tzspec_len == 0)
+      off_t rem = st.st_size - f_offset, product;
+      bool v = false;
+      v |= ckd_mul (&product, num_transitions, 8 + 1);
+      v |= ckd_sub (&rem, rem, product);
+      v |= ckd_mul (&product, num_types, 6);
+      v |= ckd_sub (&rem, rem, product);
+      v |= ckd_sub (&rem, rem, chars);
+      v |= ckd_mul (&product, num_leaps, 12);
+      v |= ckd_sub (&rem, rem, product);
+      v |= ckd_sub (&rem, rem, num_isstd);
+      v |= ckd_sub (&rem, rem, num_isgmt);
+      v |= rem <= 1;
+      v |= 3 <= rem && rem < sizeof "XYZ0\n";
+      if (v)
 	goto lose;
+      tzspec_size = rem - 1;
     }
   else
-    tzspec_len = 0;
+    tzspec_size = 0;
 
   /* The file is parsed into a single heap allocation, comprising of
      the following arrays:
@@ -259,7 +297,7 @@ __tzfile_read (const char *file)
      struct ttinfo types[num_types];
      unsigned char type_idxs[num_types];
      char zone_names[chars];
-     char tzspec[tzspec_len];
+     char tzspec[tzspec_size];
 
      The piece-wise allocations from buf below verify that no
      overflow/wraparound occurred in these computations.
@@ -274,12 +312,18 @@ __tzfile_read (const char *file)
 		  "alignment of struct leap");
   struct alloc_buffer buf;
   {
-    size_t total_size = (num_transitions * sizeof (__time64_t)
-			 + num_leaps * sizeof (struct leap)
-			 + num_types * sizeof (struct ttinfo)
-			 + num_transitions /* type_idxs */
-			 + chars /* zone_names */
-			 + tzspec_len);
+    size_t total_size, product;
+    bool v = false;
+    v |= ckd_mul (&total_size, num_transitions, sizeof (__time64_t));
+    v |= ckd_mul (&product, num_leaps, sizeof (struct leap));
+    v |= ckd_add (&total_size, total_size, product);
+    v |= ckd_mul (&product, num_types, sizeof (struct ttinfo));
+    v |= ckd_add (&total_size, total_size, product);
+    v |= ckd_add (&total_size, total_size, num_transitions); /* type_idxs */
+    v |= ckd_add (&total_size, total_size, chars); /* zone_names */
+    v |= ckd_add (&total_size, total_size, tzspec_size);
+    if (v)
+      goto lose;
     transitions = malloc (total_size);
     if (transitions == NULL)
       goto lose;
@@ -294,18 +338,53 @@ __tzfile_read (const char *file)
   type_idxs = alloc_buffer_alloc_array (&buf, unsigned char, num_transitions);
   zone_names = alloc_buffer_alloc_array (&buf, char, chars);
   if (trans_width == 8)
-    tzspec = alloc_buffer_alloc_array (&buf, char, tzspec_len);
+    tzspec = alloc_buffer_alloc_array (&buf, char, tzspec_size);
   else
     tzspec = NULL;
   if (alloc_buffer_has_failed (&buf))
     goto lose;
 
-  if (__glibc_unlikely (__fread_unlocked (transitions, trans_width,
-					  num_transitions, f)
-			!= num_transitions)
-      || __glibc_unlikely (__fread_unlocked (type_idxs, 1, num_transitions, f)
-			   != num_transitions))
+  if (trans_width == 4)
+    {
+      for (i = 0; i < num_transitions; i++)
+	{
+	  union { unsigned char c[4]; tzidx tzidx_aligned; } x;
+	  if (__fread_unlocked (&x, 1, 4, f) != 4)
+	    goto lose;
+	  transitions[i] = decode (&x);
+	  if (i && transitions[i] <= transitions[i - 1])
+	    goto lose;
+	}
+    }
+  else if (sizeof (int64_t) == 8)
+    {
+      if (__fread_unlocked (transitions, 8, num_transitions, f)
+	  != num_transitions)
 	goto lose;
+      for (i = 0; i < num_transitions; i++)
+	{
+	  if (BYTE_ORDER != BIG_ENDIAN)
+	    transitions[i] = decode64 (&transitions[i]);
+	  if (i && transitions[i] <= transitions[i - 1])
+	    goto lose;
+	}
+    }
+  else
+    {
+      for (i = 0; i < num_transitions; i++)
+	{
+	  union { unsigned char c[8]; int64_t int64_t_aligned; } x;
+	  if (__fread_unlocked (&x, 1, 8, f) != 8)
+	    goto lose;
+	  transitions[i] = decode64 (&x);
+	  if (i && transitions[i] <= transitions[i - 1])
+	    goto lose;
+	}
+    }
+
+  if (__glibc_unlikely (__fread_unlocked (type_idxs, 1, num_transitions, f)
+			!= num_transitions))
+    goto lose;
 
   /* Check for bogus indices in the data file, so we can hereafter
      safely use type_idxs[T] as indices into `types' and never crash.  */
@@ -313,61 +392,67 @@ __tzfile_read (const char *file)
     if (__glibc_unlikely (type_idxs[i] >= num_types))
       goto lose;
 
-  if (trans_width == 4)
-    {
-      /* Decode the transition times, stored as 4-byte integers in
-	 network (big-endian) byte order.  We work from the end of the
-	 array so as not to clobber the next element to be
-	 processed.  */
-      i = num_transitions;
-      while (i-- > 0)
-	transitions[i] = decode ((char *) transitions + i * 4);
-    }
-  else if (BYTE_ORDER != BIG_ENDIAN)
-    {
-      /* Decode the transition times, stored as 8-byte integers in
-	 network (big-endian) byte order.  */
-      for (i = 0; i < num_transitions; ++i)
-	transitions[i] = decode64 ((char *) transitions + i * 8);
-    }
-
+  unsigned char max_idx = 0;
   for (i = 0; i < num_types; ++i)
     {
-      unsigned char x[4];
+      union { unsigned char c[4]; tzidx tzidx_aligned; } x;
       int c;
-      if (__builtin_expect (__fread_unlocked (x, 1,
-					      sizeof (x), f) != sizeof (x),
-			    0))
+      if (__builtin_expect (__fread_unlocked (&x, 1, 4, f) != 4, 0))
 	goto lose;
       c = __getc_unlocked (f);
-      if (__glibc_unlikely ((unsigned int) c > 1u))
+      if (__glibc_unlikely (! (0 <= c && c <= 1)))
 	goto lose;
       types[i].isdst = c;
       c = __getc_unlocked (f);
-      if (__glibc_unlikely ((size_t) c > chars))
+      if (__glibc_unlikely (! (0 <= c && c < chars)))
 	/* Bogus index in data file.  */
 	goto lose;
+      if (max_idx < c)
+	max_idx = c;
       types[i].idx = c;
-      types[i].offset = decode (x);
+      types[i].offset = decode (&x);
+
+      /* If long int is only 32 bits, reject offsets that cannot be negated.
+         RFC 9636 section 3.2 allows this.  */
+      long int negated_offset;
+      if (ckd_sub (&negated_offset, 0, types[i].offset))
+	goto lose;
     }
 
   if (__glibc_unlikely (__fread_unlocked (zone_names, 1, chars, f) != chars))
     goto lose;
+  if (__strnlen (zone_names + max_idx, chars - max_idx) == chars - max_idx)
+    goto lose;
 
+  int minimum_leap_gap = 2419199; /* See RFC 9636 section 3.2.  */
+  __time64_t prevtransition = -minimum_leap_gap;
+  int prevchange = 0;
   for (i = 0; i < num_leaps; ++i)
     {
-      unsigned char x[8];
-      if (__builtin_expect (__fread_unlocked (x, 1, trans_width, f)
-			    != trans_width, 0))
-	goto lose;
-      if (trans_width == 4)
-	leaps[i].transition = decode (x);
-      else
-	leaps[i].transition = decode64 (x);
-
-      if (__glibc_unlikely (__fread_unlocked (x, 1, 4, f) != 4))
-	goto lose;
-      leaps[i].change = (long int) decode (x);
+      {
+	union { char c[8]; tzidx tzidx_aligned; int64_t int64_t_aligned; } x;
+	if (__builtin_expect ((__fread_unlocked (&x, 1, trans_width, f)
+			       != trans_width),
+			      0))
+	  goto lose;
+	leaps[i].transition = trans_width == 4 ? decode (&x) : decode64 (&x);
+	if (leaps[i].transition < 0
+	    || leaps[i].transition - minimum_leap_gap < prevtransition)
+	  goto lose;
+	prevtransition = leaps[i].transition;
+      }
+
+      {
+	union { unsigned char c[4]; tzidx tzidx_aligned; } x;
+	if (__glibc_unlikely (__fread_unlocked (&x, 1, 4, f) != 4))
+	  goto lose;
+	leaps[i].change = decode (&x);
+	int delta_change;
+	if (ckd_sub (&delta_change, leaps[i].change, prevchange)
+	    || ! (delta_change == 1 || delta_change == -1))
+	  goto lose;
+	prevchange = leaps[i].change;
+      }
     }
 
   for (i = 0; i < num_isstd; ++i)
@@ -393,14 +478,16 @@ __tzfile_read (const char *file)
   /* Read the POSIX TZ-style information if possible.  */
   if (tzspec != NULL)
     {
-      assert (tzspec_len > 0);
-      /* Skip over the newline first.  */
-      if (__getc_unlocked (f) != '\n'
-	  || (__fread_unlocked (tzspec, 1, tzspec_len - 1, f)
-	      != tzspec_len - 1))
-	tzspec = NULL;
+      char *nl;
+      assert (tzspec_size > 0);
+      /* Skip the leading newline, then grab everything up to the next
+	 newline; ignore everything after that.  */
+      if (__getc_unlocked (f) == '\n'
+	  && __fread_unlocked (tzspec, 1, tzspec_size, f) == tzspec_size
+	  && (nl = memchr (tzspec, '\n', tzspec_size)) != NULL)
+	*nl = '\0';
       else
-	tzspec[tzspec_len - 1] = '\0';
+	tzspec = NULL;
     }
 
   /* Don't use an empty TZ string.  */
@@ -484,16 +571,16 @@ __tzfile_read (const char *file)
   fclose (f);
  ret_free_transitions:
   free (new);
-  free ((void *) transitions);
+  free (transitions);
   transitions = NULL;
 }
 
 void
 __tzfile_compute (__time64_t timer, int use_localtime,
-		  long int *leap_correct, int *leap_hit,
+		  int *leap_correct, bool *leap_hit,
 		  struct tm *tp)
 {
-  size_t i;
+  tzidx i;
 
   if (use_localtime)
     {
@@ -519,7 +606,7 @@ __tzfile_compute (__time64_t timer, int use_localtime,
 	  __tzname[0] = __tzstring (&zone_names[types[i].idx]);
 	  if (__tzname[1] == NULL)
 	    {
-	      size_t j = i;
+	      tzidx j = i;
 	      while (j < num_types)
 		if (types[j].isdst)
 		  {
@@ -556,15 +643,16 @@ __tzfile_compute (__time64_t timer, int use_localtime,
 	{
 	  /* Find the first transition after TIMER, and
 	     then pick the type of the transition before it.  */
-	  size_t lo = 0;
-	  size_t hi = num_transitions - 1;
+	  tzidx lo = 0;
+	  tzidx hi = num_transitions - 1;
 	  /* Assume that DST is changing twice a year and guess
 	     initial search spot from it.  Half of a gregorian year
 	     has on average 365.2425 * 86400 / 2 = 15778476 seconds.
-	     The value i can be truncated if size_t is smaller than
-	     __time64_t, but this is harmless because it is just
-	     a guess.  */
-	  i = (transitions[num_transitions - 1] - timer) / 15778476;
+	     Although i's value can be wrong if overflow occurs,
+	     this is harmless because it is just a guess.  */
+	  __time64_t tdiff;
+	  ckd_sub (&tdiff, transitions[num_transitions - 1], timer);
+	  ckd_add (&i, tdiff / 15778476, 0);
 	  if (i < num_transitions)
 	    {
 	      i = num_transitions - 1 - i;
@@ -581,7 +669,7 @@ __tzfile_compute (__time64_t timer, int use_localtime,
 		}
 	      else
 		{
-		  if (i + 10 >= num_transitions || timer < transitions[i + 10])
+		  if (num_transitions - i <= 10 || timer < transitions[i + 10])
 		    {
 		      /* Linear search.  */
 		      while (timer >= transitions[i])
@@ -596,7 +684,7 @@ __tzfile_compute (__time64_t timer, int use_localtime,
 	  /* assert (timer >= transitions[lo] && timer < transitions[hi]); */
 	  while (lo + 1 < hi)
 	    {
-	      i = (lo + hi) / 2;
+	      i = (lo >> 1) + (hi >> 1) + (lo & hi & 1);
 	      if (timer < transitions[i])
 		hi = i;
 	      else
@@ -609,7 +697,7 @@ __tzfile_compute (__time64_t timer, int use_localtime,
 	     && (i == num_transitions || timer < transitions[i])); */
 	  __tzname[types[type_idxs[i - 1]].isdst]
 	    = __tzstring (&zone_names[types[type_idxs[i - 1]].idx]);
-	  size_t j = i;
+	  tzidx j = i;
 	  while (j < num_transitions)
 	    {
 	      int type = type_idxs[j];
@@ -654,8 +742,8 @@ __tzfile_compute (__time64_t timer, int use_localtime,
     }
 
  leap:
-  *leap_correct = 0L;
-  *leap_hit = 0;
+  *leap_correct = 0;
+  *leap_hit = false;
 
   /* Find the last leap second correction transition time before TIMER.  */
   i = num_leaps;
@@ -669,16 +757,7 @@ __tzfile_compute (__time64_t timer, int use_localtime,
 
   if (timer == leaps[i].transition /* Exactly at the transition time.  */
       && (leaps[i].change > (i == 0 ? 0 : leaps[i - 1].change)))
-    {
-      *leap_hit = 1;
-      while (i > 0
-	     && leaps[i].transition == leaps[i - 1].transition + 1
-	     && leaps[i].change == leaps[i - 1].change + 1)
-	{
-	  ++*leap_hit;
-	  --i;
-	}
-    }
+    *leap_hit = true;
 }
 
 weak_alias (transitions, __libc_tzfile_freemem_ptr)
diff --git a/time/tzset.c b/time/tzset.c
index 9fb3a127f7..68e68f6cb9 100644
--- a/time/tzset.c
+++ b/time/tzset.c
@@ -557,8 +557,8 @@ weak_alias (__tzset, tzset)
 struct tm *
 __tz_convert (__time64_t timer, int use_localtime, struct tm *tp)
 {
-  long int leap_correction;
-  int leap_extra_secs;
+  int leap_correction;
+  bool leap_extra_sec;
 
   /* Update internal database according to current TZ setting.
      POSIX.1 8.3.7.2 says that localtime_r is not required to set tzname.
@@ -567,15 +567,15 @@ __tz_convert (__time64_t timer, int use_localtime, struct tm *tp)
 
   if (__use_tzfile)
     __tzfile_compute (timer, use_localtime, &leap_correction,
-		      &leap_extra_secs, tp);
+		      &leap_extra_sec, tp);
   else
     {
       if (! __offtime (timer, 0, tp))
 	tp = NULL;
       else
 	__tz_compute (timer, tp, use_localtime);
-      leap_correction = 0L;
-      leap_extra_secs = 0;
+      leap_correction = 0;
+      leap_extra_sec = false;
     }
 
   if (tp)
@@ -588,7 +588,16 @@ __tz_convert (__time64_t timer, int use_localtime, struct tm *tp)
 	}
 
       if (__offtime (timer, tp->tm_gmtoff - leap_correction, tp))
-        tp->tm_sec += leap_extra_secs;
+	{
+	  /* This assumes leap seconds can occur only when the local
+	     time offset from UTC is a multiple of 60 seconds,
+	     so the leap second occurs at HH:MM:60 local time.
+	     Historically this has always been true, as the last
+	     timezone to use some other UTC offset was Africa/Monrovia
+	     in January 1972, whereas the first leap second did not
+	     occur until almost six months later.  */
+	  tp->tm_sec += leap_extra_sec;
+	}
       else
 	tp = NULL;
     }
diff --git a/time/tzset.h b/time/tzset.h
index fb7984563e..d2d5853f0b 100644
--- a/time/tzset.h
+++ b/time/tzset.h
@@ -3,6 +3,7 @@
 
 #include <time.h>
 #include <libc-lock.h>
+#include <stdbool.h>
 
 /* Defined in tzset.c.  */
 extern char *__tzstring (const char *string) attribute_hidden;
@@ -11,7 +12,7 @@ extern int __use_tzfile attribute_hidden;
 
 extern void __tzfile_read (const char *file) attribute_hidden;
 extern void __tzfile_compute (__time64_t timer, int use_localtime,
-			      long int *leap_correct, int *leap_hit,
+			      int *leap_correct, bool *leap_hit,
 			      struct tm *tp) attribute_hidden;
 extern void __tzset_parse_tz (const char *tz) attribute_hidden;
 extern void __tz_compute (__time64_t timer, struct tm *tm, int use_localtime)
