diff --git a/sysdeps/x86_64/Makefile b/sysdeps/x86_64/Makefile
index da3264f27f..d5e4912074 100644
--- a/sysdeps/x86_64/Makefile
+++ b/sysdeps/x86_64/Makefile
@@ -147,10 +147,12 @@ endif
 endif
 
 ifeq ($(subdir),cpu-rt-c)
-cpu-rt-c-routines += memchr memcmp memcpy memmove mempcpy memrchr
+cpu-rt-c-routines += memchr memcmp memcpy memmove mempcpy memrchr \
+		     memset \
+		     wmemset
 
 # For the CPU run-time tests.
-vpath %.c $(..)string
+vpath %.c $(..)string $(..)wcsmbs
 endif
 
 ifeq ($(subdir),csu)
diff --git a/sysdeps/x86_64/memset.S b/sysdeps/x86_64/memset.S
index b342679576..4036de674d 100644
--- a/sysdeps/x86_64/memset.S
+++ b/sysdeps/x86_64/memset.S
@@ -47,7 +47,11 @@
 
 #ifndef WMEMSET_SYMBOL
 # define WMEMSET_CHK_SYMBOL(p,s) p
-# define WMEMSET_SYMBOL(p,s)	__wmemset
+# if IS_IN (libcpu_rt_c)
+#  define WMEMSET_SYMBOL(p,s)	wmemset
+# else
+#  define WMEMSET_SYMBOL(p,s)	__wmemset
+# endif
 #endif
 
 #include "multiarch/memset-vec-unaligned-erms.S"
diff --git a/sysdeps/x86_64/multiarch/Makefile b/sysdeps/x86_64/multiarch/Makefile
index 582ca629d0..9262251b2c 100644
--- a/sysdeps/x86_64/multiarch/Makefile
+++ b/sysdeps/x86_64/multiarch/Makefile
@@ -76,5 +76,9 @@ libcpu-rt-c-sysdep_routines += memchr-sse2 memchr-avx2 \
 			       memmove-avx-unaligned-erms \
 			       memmove-avx512-unaligned-erms \
 			       memmove-avx512-no-vzeroupper \
-			       memrchr-sse2 memrchr-avx2
+			       memrchr-sse2 memrchr-avx2 \
+			       memset-sse2-unaligned-erms \
+			       memset-avx2-unaligned-erms \
+			       memset-avx512-unaligned-erms \
+			       memset-avx512-no-vzeroupper
 endif
diff --git a/sysdeps/x86_64/multiarch/memset-avx2-unaligned-erms.S b/sysdeps/x86_64/multiarch/memset-avx2-unaligned-erms.S
index 7ab3d89849..3943970235 100644
--- a/sysdeps/x86_64/multiarch/memset-avx2-unaligned-erms.S
+++ b/sysdeps/x86_64/multiarch/memset-avx2-unaligned-erms.S
@@ -1,4 +1,4 @@
-#if IS_IN (libc)
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
 # define VEC_SIZE	32
 # define VEC(i)		ymm##i
 # define VMOVU		vmovdqu
diff --git a/sysdeps/x86_64/multiarch/memset-avx512-no-vzeroupper.S b/sysdeps/x86_64/multiarch/memset-avx512-no-vzeroupper.S
index 689cc1199c..d1bf841c56 100644
--- a/sysdeps/x86_64/multiarch/memset-avx512-no-vzeroupper.S
+++ b/sysdeps/x86_64/multiarch/memset-avx512-no-vzeroupper.S
@@ -18,7 +18,7 @@
 
 #include <sysdep.h>
 
-#if IS_IN (libc)
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
 
 #include "asm-syntax.h"
 #ifndef MEMSET
@@ -27,7 +27,7 @@
 #endif
 
 	.section .text.avx512,"ax",@progbits
-#if defined PIC
+#if defined PIC && IS_IN (libc)
 ENTRY (MEMSET_CHK)
 	cmpq	%rdx, %rcx
 	jb	HIDDEN_JUMPTARGET (__chk_fail)
diff --git a/sysdeps/x86_64/multiarch/memset-avx512-unaligned-erms.S b/sysdeps/x86_64/multiarch/memset-avx512-unaligned-erms.S
index 0783979ca5..dcddf27573 100644
--- a/sysdeps/x86_64/multiarch/memset-avx512-unaligned-erms.S
+++ b/sysdeps/x86_64/multiarch/memset-avx512-unaligned-erms.S
@@ -1,4 +1,4 @@
-#if IS_IN (libc)
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
 # define VEC_SIZE	64
 # define VEC(i)		zmm##i
 # define VMOVU		vmovdqu64
diff --git a/sysdeps/x86_64/multiarch/memset-sse2-unaligned-erms.S b/sysdeps/x86_64/multiarch/memset-sse2-unaligned-erms.S
index be6671759b..359cfb63e3 100644
--- a/sysdeps/x86_64/multiarch/memset-sse2-unaligned-erms.S
+++ b/sysdeps/x86_64/multiarch/memset-sse2-unaligned-erms.S
@@ -21,7 +21,7 @@
 #include <shlib-compat.h>
 #include <init-arch.h>
 
-#if IS_IN (libc)
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
 # define MEMSET_SYMBOL(p,s)	p##_sse2_##s
 # define WMEMSET_SYMBOL(p,s)	p##_sse2_##s
 
@@ -30,9 +30,11 @@
 #  define libc_hidden_builtin_def(name)
 # endif
 
-# undef weak_alias
-# define weak_alias(original, alias) \
+# if !IS_IN (libcpu_rt_c)
+#  undef weak_alias
+#  define weak_alias(original, alias) \
 	.weak bzero; bzero = __bzero
+# endif
 
 # undef strong_alias
 # define strong_alias(ignored1, ignored2)
diff --git a/sysdeps/x86_64/multiarch/memset-vec-unaligned-erms.S b/sysdeps/x86_64/multiarch/memset-vec-unaligned-erms.S
index dc9cb88b37..08a831aad2 100644
--- a/sysdeps/x86_64/multiarch/memset-vec-unaligned-erms.S
+++ b/sysdeps/x86_64/multiarch/memset-vec-unaligned-erms.S
@@ -73,18 +73,23 @@
 #endif
 
 	.section SECTION(.text),"ax",@progbits
-#if VEC_SIZE == 16 && IS_IN (libc)
+#if VEC_SIZE == 16 && (IS_IN (libc) || IS_IN (libcpu_rt_c))
+# if IS_IN (libcpu_rt_c)
+#  define __bzero	bzero
+# endif
 ENTRY (__bzero)
 	movq	%rdi, %rax /* Set return value.  */
 	movq	%rsi, %rdx /* Set n.  */
 	pxor	%xmm0, %xmm0
 	jmp	L(entry_from_bzero)
 END (__bzero)
+# if !IS_IN (libcpu_rt_c)
 weak_alias (__bzero, bzero)
+# endif
 #endif
 
-#if IS_IN (libc)
-# if defined SHARED
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
+# if defined SHARED && IS_IN (libc)
 ENTRY_CHK (WMEMSET_CHK_SYMBOL (__wmemset_chk, unaligned))
 	cmpq	%rdx, %rcx
 	jb	HIDDEN_JUMPTARGET (__chk_fail)
@@ -117,14 +122,16 @@ L(entry_from_bzero):
 	VMOVU	%VEC(0), (%rdi)
 	VZEROUPPER
 	ret
-#if defined USE_MULTIARCH && IS_IN (libc)
+#if defined USE_MULTIARCH && (IS_IN (libc) || IS_IN (libcpu_rt_c))
 END (MEMSET_SYMBOL (__memset, unaligned))
 
-# if VEC_SIZE == 16
+# if VEC_SIZE == 16 && (IS_IN (libc) || IS_IN (libcpu_rt_c))
+#  if IS_IN (libc)
 ENTRY (__memset_chk_erms)
 	cmpq	%rdx, %rcx
 	jb	HIDDEN_JUMPTARGET (__chk_fail)
 END (__memset_chk_erms)
+#  endif
 
 /* Only used to measure performance of REP STOSB.  */
 ENTRY (__memset_erms)
diff --git a/sysdeps/x86_64/multiarch/memset.c b/sysdeps/x86_64/multiarch/memset.c
index 064841d5fc..8a17a76006 100644
--- a/sysdeps/x86_64/multiarch/memset.c
+++ b/sysdeps/x86_64/multiarch/memset.c
@@ -18,7 +18,7 @@
    <http://www.gnu.org/licenses/>.  */
 
 /* Define multiple versions only for the definition in libc.  */
-#if IS_IN (libc)
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
 # define memset __redirect_memset
 # include <string.h>
 # undef memset
@@ -28,7 +28,7 @@
 
 libc_ifunc_redirected (__redirect_memset, memset, IFUNC_SELECTOR ());
 
-# ifdef SHARED
+# if defined SHARED && !IS_IN (libcpu_rt_c)
 __hidden_ver1 (memset, __GI_memset, __redirect_memset)
   __attribute__ ((visibility ("hidden")));
 # endif
diff --git a/sysdeps/x86_64/multiarch/wmemset.c b/sysdeps/x86_64/multiarch/wmemset.c
index 9fee77ea81..a382bdbad1 100644
--- a/sysdeps/x86_64/multiarch/wmemset.c
+++ b/sysdeps/x86_64/multiarch/wmemset.c
@@ -18,7 +18,7 @@
    <http://www.gnu.org/licenses/>.  */
 
 /* Define multiple versions only for the definition in libc.  */
-#if IS_IN (libc)
+#if IS_IN (libc) || IS_IN (libcpu_rt_c)
 # define wmemset __redirect_wmemset
 # define __wmemset __redirect___wmemset
 # include <wchar.h>
@@ -28,13 +28,19 @@
 # define SYMBOL_NAME wmemset
 # include "ifunc-wmemset.h"
 
+# if IS_IN (libcpu_rt_c)
+#  define __wmemset wmemset
+# endif
+
 libc_ifunc_redirected (__redirect_wmemset, __wmemset, IFUNC_SELECTOR ());
+# if !IS_IN (libcpu_rt_c)
 weak_alias (__wmemset, wmemset)
 
-# ifdef SHARED
+#  ifdef SHARED
 __hidden_ver1 (__wmemset, __GI___wmemset, __redirect___wmemset)
   __attribute__ ((visibility ("hidden")));
 __hidden_ver1 (wmemset, __GI_wmemset, __redirect_wmemset)
   __attribute__ ((visibility ("hidden")));
+#  endif
 # endif
 #endif
