diff --git a/elf/dl-load.c b/elf/dl-load.c
index 892e8ef2f6..2fdd612997 100644
--- a/elf/dl-load.c
+++ b/elf/dl-load.c
@@ -1093,7 +1093,7 @@ _dl_map_object_from_fd (const char *name, const char *origname, int fd,
    /* On most platforms presume that PT_GNU_STACK is absent and the stack is
     * executable.  Other platforms default to a nonexecutable stack and don't
     * need PT_GNU_STACK to do so.  */
-   uint_fast16_t stack_flags = DEFAULT_STACK_PERMS;
+   unsigned int stack_flags = DEFAULT_STACK_PERMS;
 
   {
     /* Scan the program header table, collecting its load commands.  */
diff --git a/elf/dl-lookup.c b/elf/dl-lookup.c
index 7b2a6622be..d27fe5d497 100644
--- a/elf/dl-lookup.c
+++ b/elf/dl-lookup.c
@@ -208,7 +208,7 @@ is_nodelete (struct link_map *map, int flags)
    in the unique symbol table, creating a new entry if necessary.
    Return the matching symbol in RESULT.  */
 static void
-do_lookup_unique (const char *undef_name, uint_fast32_t new_hash,
+do_lookup_unique (const char *undef_name, uint32_t new_hash,
 		  struct link_map *map, struct sym_val *result,
 		  int type_class, const ElfW(Sym) *sym, const char *strtab,
 		  const ElfW(Sym) *ref, const struct link_map *undef_map,
@@ -339,7 +339,7 @@ marking %s [%lu] as NODELETE due to unique symbol\n",
    something bad happened.  */
 static int
 __attribute_noinline__
-do_lookup_x (const char *undef_name, uint_fast32_t new_hash,
+do_lookup_x (const char *undef_name, uint32_t new_hash,
 	     unsigned long int *old_hash, const ElfW(Sym) *ref,
 	     struct sym_val *result, struct r_scope_elem *scope, size_t i,
 	     const struct r_found_version *const version, int flags,
@@ -558,13 +558,13 @@ skip:
 }
 
 
-static uint_fast32_t
+static uint32_t
 dl_new_hash (const char *s)
 {
-  uint_fast32_t h = 5381;
+  uint32_t h = 5381;
   for (unsigned char c = *s; c != '\0'; c = *++s)
     h = h * 33 + c;
-  return h & 0xffffffff;
+  return h;
 }
 
 
@@ -816,7 +816,7 @@ _dl_lookup_symbol_x (const char *undef_name, struct link_map *undef_map,
 		     const struct r_found_version *version,
 		     int type_class, int flags, struct link_map *skip_map)
 {
-  const uint_fast32_t new_hash = dl_new_hash (undef_name);
+  const uint32_t new_hash = dl_new_hash (undef_name);
   unsigned long int old_hash = 0xffffffff;
   struct sym_val current_value = { NULL, NULL };
   struct r_scope_elem **scope = symbol_scope;
diff --git a/elf/dl-machine-reject-phdr.h b/elf/dl-machine-reject-phdr.h
index ea18289fda..ad64cf40ea 100644
--- a/elf/dl-machine-reject-phdr.h
+++ b/elf/dl-machine-reject-phdr.h
@@ -24,7 +24,7 @@
 /* Return true iff ELF program headers are incompatible with the running
    host.  */
 static inline bool
-elf_machine_reject_phdr_p (const ElfW(Phdr) *phdr, uint_fast16_t phnum,
+elf_machine_reject_phdr_p (const ElfW(Phdr) *phdr, unsigned int phnum,
 			   const char *buf, size_t len, struct link_map *map,
 			   int fd)
 {
diff --git a/elf/dl-profile.c b/elf/dl-profile.c
index 9359be7c33..3a3b49ca0f 100644
--- a/elf/dl-profile.c
+++ b/elf/dl-profile.c
@@ -558,7 +558,7 @@ _dl_mcount (ElfW(Addr) frompc, ElfW(Addr) selfpc)
 	  /* If we still have no entry stop searching and insert.  */
 	  if (*topcindex == 0)
 	    {
-	      uint_fast32_t newarc = catomic_exchange_and_add (narcsp, 1);
+	      uint32_t newarc = catomic_exchange_and_add (narcsp, 1);
 
 	      /* In rare cases it could happen that all entries in FROMS are
 		 occupied.  So we cannot count this anymore.  */
diff --git a/elf/setup-vdso.h b/elf/setup-vdso.h
index db639b0d4f..c0807ea82b 100644
--- a/elf/setup-vdso.h
+++ b/elf/setup-vdso.h
@@ -36,7 +36,7 @@ setup_vdso (struct link_map *main_map __attribute__ ((unused)),
       l->l_phdr = ((const void *) GLRO(dl_sysinfo_dso)
 		   + GLRO(dl_sysinfo_dso)->e_phoff);
       l->l_phnum = GLRO(dl_sysinfo_dso)->e_phnum;
-      for (uint_fast16_t i = 0; i < l->l_phnum; ++i)
+      for (unsigned int i = 0; i < l->l_phnum; ++i)
 	{
 	  const ElfW(Phdr) *const ph = &l->l_phdr[i];
 	  if (ph->p_type == PT_DYNAMIC)
diff --git a/hurd/hurdselect.c b/hurd/hurdselect.c
index e9d5c64bf3..ddeaf6c0c7 100644
--- a/hurd/hurdselect.c
+++ b/hurd/hurdselect.c
@@ -575,7 +575,7 @@ _hurd_select (int nfds,
     for (i = 0; i < nfds; ++i)
       {
 	int type = d[i].type;
-	int_fast16_t revents = 0;
+	int revents = 0;
 
 	if (type & SELECT_ERROR)
 	  switch (d[i].error)
diff --git a/iconv/gconv_simple.c b/iconv/gconv_simple.c
index be8504791b..3f8802f411 100644
--- a/iconv/gconv_simple.c
+++ b/iconv/gconv_simple.c
@@ -959,8 +959,8 @@ ucs4le_internal_loop_single (struct __gconv_step *step,
       }									      \
     else								      \
       {									      \
-	uint_fast32_t cnt;						      \
-	uint_fast32_t i;						      \
+	uint32_t cnt;						      \
+	uint32_t i;						      \
 									      \
 	if (ch >= 0xc2 && ch < 0xe0)					      \
 	  {								      \
diff --git a/iconv/gconv_trans.c b/iconv/gconv_trans.c
index 0101332d61..bc7e58b477 100644
--- a/iconv/gconv_trans.c
+++ b/iconv/gconv_trans.c
@@ -37,15 +37,15 @@ __gconv_transliterate (struct __gconv_step *step,
 		       unsigned char **outbufstart, size_t *irreversible)
 {
   /* Find out about the locale's transliteration.  */
-  uint_fast32_t size;
+  uint32_t size;
   const uint32_t *from_idx;
   const uint32_t *from_tbl;
   const uint32_t *to_idx;
   const uint32_t *to_tbl;
   const uint32_t *winbuf;
   const uint32_t *winbufend;
-  uint_fast32_t low;
-  uint_fast32_t high;
+  uint32_t low;
+  uint32_t high;
 
   /* The input buffer.  There are actually 4-byte values.  */
   winbuf = (const uint32_t *) *inbufp;
@@ -85,7 +85,7 @@ __gconv_transliterate (struct __gconv_step *step,
   high = size;
   while (low < high)
     {
-      uint_fast32_t med = (low + high) / 2;
+      uint32_t med = (low + high) / 2;
       uint32_t idx;
       int cnt;
 
@@ -111,7 +111,7 @@ __gconv_transliterate (struct __gconv_step *step,
 	  do
 	    {
 	      /* Determine length of replacement.  */
-	      uint_fast32_t len = 0;
+	      uint32_t len = 0;
 	      int res;
 	      const unsigned char *toinptr;
 	      unsigned char *outptr;
diff --git a/iconvdata/cp932.c b/iconvdata/cp932.c
index 91487fa34c..f40f8e2a9d 100644
--- a/iconvdata/cp932.c
+++ b/iconvdata/cp932.c
@@ -4572,7 +4572,7 @@ static const char from_ucs4_extra[229][2] =
 	/* Two-byte character.  First test whether the next character	      \
 	   is also available.  */					      \
 	uint32_t ch2;							      \
-	uint_fast32_t idx;						      \
+	uint32_t idx;						      \
 									      \
 	if (__glibc_unlikely (inptr + 1 >= inend))			      \
 	  {								      \
diff --git a/iconvdata/johab.c b/iconvdata/johab.c
index 33ec7b9a62..ae271def96 100644
--- a/iconvdata/johab.c
+++ b/iconvdata/johab.c
@@ -130,7 +130,7 @@ static const uint16_t jamo_from_ucs_table[51] =
 
 
 static uint32_t
-johab_sym_hanja_to_ucs (uint_fast32_t idx, uint_fast32_t c1, uint_fast32_t c2)
+johab_sym_hanja_to_ucs (uint32_t idx, uint32_t c1, uint32_t c2)
 {
   if (idx <= 0xdefe)
     return (uint32_t) __ksc5601_sym_to_ucs[(c1 - 0xd9) * 188 + c2
@@ -189,7 +189,7 @@ johab_sym_hanja_to_ucs (uint_fast32_t idx, uint_fast32_t c1, uint_fast32_t c2)
 	    /* Two-byte character.  First test whether the next		      \
 	       character is also available.  */				      \
 	    uint32_t ch2;						      \
-	    uint_fast32_t idx;						      \
+	    uint32_t idx;						      \
 									      \
 	    if (__glibc_unlikely (inptr + 1 >= inend))			      \
 	      {								      \
@@ -204,7 +204,7 @@ johab_sym_hanja_to_ucs (uint_fast32_t idx, uint_fast32_t c1, uint_fast32_t c2)
 	    if (__glibc_likely (ch <= 0xd3))				      \
 	      {								      \
 		/* Hangul */						      \
-		int_fast32_t i, m, f;					      \
+		int32_t i, m, f;					      \
 									      \
 		i = init[(idx & 0x7c00) >> 10];				      \
 		m = mid[(idx & 0x03e0) >> 5];				      \
diff --git a/iconvdata/sjis.c b/iconvdata/sjis.c
index e1bdb3025c..5aea18b314 100644
--- a/iconvdata/sjis.c
+++ b/iconvdata/sjis.c
@@ -4359,7 +4359,7 @@ static const char from_ucs4_extra[0x100][2] =
 	/* Two-byte character.  First test whether the next byte	      \
 	   is also available.  */					      \
 	uint32_t ch2;							      \
-	uint_fast32_t idx;						      \
+	uint32_t idx;						      \
 									      \
 	if (__glibc_unlikely (inptr + 1 >= inend))			      \
 	  {								      \
diff --git a/locale/elem-hash.h b/locale/elem-hash.h
index 8bccfcb6d0..08dc3da77a 100644
--- a/locale/elem-hash.h
+++ b/locale/elem-hash.h
@@ -18,7 +18,7 @@
 
 /* The hashing function used for the table with collation symbols.  */
 static int32_t __attribute__ ((pure, unused))
-elem_hash (const char *str, int_fast32_t n)
+elem_hash (const char *str, int32_t n)
 {
   int32_t result = n;
 
diff --git a/locale/weight.h b/locale/weight.h
index c49f4e6d90..8be2d220f8 100644
--- a/locale/weight.h
+++ b/locale/weight.h
@@ -27,7 +27,7 @@ findidx (const int32_t *table,
 	 const unsigned char *extra,
 	 const unsigned char **cpp, size_t len)
 {
-  int_fast32_t i = table[*(*cpp)++];
+  int32_t i = table[*(*cpp)++];
   const unsigned char *cp;
   const unsigned char *usrc;
 
diff --git a/posix/regex_internal.h b/posix/regex_internal.h
index 5827597d2c..cb079b16f7 100644
--- a/posix/regex_internal.h
+++ b/posix/regex_internal.h
@@ -814,7 +814,7 @@ re_string_elem_size_at (const re_string_t *pstr, Idx idx)
 # ifdef _LIBC
   const unsigned char *p, *extra;
   const int32_t *table, *indirect;
-  uint_fast32_t nrules = _NL_CURRENT_WORD (LC_COLLATE, _NL_COLLATE_NRULES);
+  uint32_t nrules = _NL_CURRENT_WORD (LC_COLLATE, _NL_COLLATE_NRULES);
 
   if (nrules != 0)
     {
diff --git a/resolv/nss_dns/dns-canon.c b/resolv/nss_dns/dns-canon.c
index 3151e50ae1..0c16be1b66 100644
--- a/resolv/nss_dns/dns-canon.c
+++ b/resolv/nss_dns/dns-canon.c
@@ -118,7 +118,7 @@ _nss_dns_getcanonname_r (const char *name, char *buffer, size_t buflen,
 		goto unavail;
 
 	      /* Check whether type and class match.  */
-	      uint_fast16_t type;
+	      uint16_t type;
 	      NS_GET16 (type, ptr);
 	      if (type == qtypes[i])
 		{
diff --git a/string/strcoll_l.c b/string/strcoll_l.c
index 1b08f11b99..b366020fc7 100644
--- a/string/strcoll_l.c
+++ b/string/strcoll_l.c
@@ -257,7 +257,7 @@ int
 STRCOLL (const STRING_TYPE *s1, const STRING_TYPE *s2, locale_t l)
 {
   struct __locale_data *current = l->__locales[LC_COLLATE];
-  uint_fast32_t nrules = current->values[_NL_ITEM_INDEX (_NL_COLLATE_NRULES)].word;
+  uint32_t nrules = current->values[_NL_ITEM_INDEX (_NL_COLLATE_NRULES)].word;
   /* We don't assign the following values right away since it might be
      unnecessary in case there are no rules.  */
   const unsigned char *rulesets;
diff --git a/string/strxfrm_l.c b/string/strxfrm_l.c
index 5519c3cf8f..188a3d826a 100644
--- a/string/strxfrm_l.c
+++ b/string/strxfrm_l.c
@@ -49,7 +49,7 @@
 /* Group locale data for shorter parameter lists.  */
 typedef struct
 {
-  uint_fast32_t nrules;
+  uint32_t nrules;
   unsigned char *rulesets;
   USTRING_TYPE *weights;
   int32_t *table;
@@ -135,7 +135,7 @@ do_xfrm (const USTRING_TYPE *usrc, STRING_TYPE *dest, size_t n,
 {
   int32_t weight_idx;
   unsigned char rule_idx;
-  uint_fast32_t pass;
+  uint32_t pass;
   size_t needed = 0;
   size_t last_needed;
 
@@ -404,10 +404,10 @@ static size_t
 do_xfrm_cached (STRING_TYPE *dest, size_t n, const locale_data_t *l_data,
 		size_t idxmax, int32_t *idxarr, const unsigned char *rulearr)
 {
-  uint_fast32_t nrules = l_data->nrules;
+  uint32_t nrules = l_data->nrules;
   unsigned char *rulesets = l_data->rulesets;
   USTRING_TYPE *weights = l_data->weights;
-  uint_fast32_t pass;
+  uint32_t pass;
   size_t needed = 0;
   size_t last_needed;
   size_t idxcnt;
diff --git a/sysdeps/mips/dl-machine-reject-phdr.h b/sysdeps/mips/dl-machine-reject-phdr.h
index e784320234..45b6bcaeac 100644
--- a/sysdeps/mips/dl-machine-reject-phdr.h
+++ b/sysdeps/mips/dl-machine-reject-phdr.h
@@ -152,7 +152,7 @@ static const struct abi_req none_req = { true, true, true, false, true };
    impact of dlclose.  */
 
 static bool __attribute_used__
-elf_machine_reject_phdr_p (const ElfW(Phdr) *phdr, uint_fast16_t phnum,
+elf_machine_reject_phdr_p (const ElfW(Phdr) *phdr, unsigned int phnum,
 			   const char *buf, size_t len, struct link_map *map,
 			   int fd)
 {
diff --git a/sysdeps/unix/sysv/linux/dl-sysdep.c b/sysdeps/unix/sysv/linux/dl-sysdep.c
index c90f109b11..a67c454673 100644
--- a/sysdeps/unix/sysv/linux/dl-sysdep.c
+++ b/sysdeps/unix/sysv/linux/dl-sysdep.c
@@ -269,7 +269,7 @@ _dl_discover_osversion (void)
       } expected_note = { { sizeof "Linux", sizeof (ElfW(Word)), 0 }, "Linux" };
       const ElfW(Phdr) *const phdr = GLRO(dl_sysinfo_map)->l_phdr;
       const ElfW(Word) phnum = GLRO(dl_sysinfo_map)->l_phnum;
-      for (uint_fast16_t i = 0; i < phnum; ++i)
+      for (unsigned int i = 0; i < phnum; ++i)
 	if (phdr[i].p_type == PT_NOTE)
 	  {
 	    const ElfW(Addr) start = (phdr[i].p_vaddr
diff --git a/timezone/zic.c b/timezone/zic.c
index 2875b5544c..16d0cede65 100644
--- a/timezone/zic.c
+++ b/timezone/zic.c
@@ -1789,7 +1789,7 @@ rulesub(struct rule *rp, const char *loyearp, const char *hiyearp,
 }
 
 static void
-convert(const int_fast32_t val, char *const buf)
+convert(const int32_t val, char *const buf)
 {
 	register int	i;
 	register int	shift;
@@ -1811,7 +1811,7 @@ convert64(const zic_t val, char *const buf)
 }
 
 static void
-puttzcode(const int_fast32_t val, FILE *const fp)
+puttzcode(const int32_t val, FILE *const fp)
 {
 	char	buf[4];
 
