diff --git a/ChangeLog b/ChangeLog
index 9a06c8fa4f..101a94351f 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,5 +1,19 @@
 2017-08-25  Joseph Myers  <joseph@codesourcery.com>
 
+	* math/math.h (_MSUFTO_): Define and undefine for each inclusion
+	of <bits/math-finite.h>.
+	(__MATH_DECLARING_LDOUBLE): Do not define and undefine for each
+	inclusion of <bits/math-finite.h>.
+	* math/bits/math-finite.h (__REDIRTO_X): Do not define
+	conditionally on [__MATH_DECLARING_LDOUBLE && defined
+	__NO_LONG_DOUBLE_MATH].
+	(__MATH_REDIRCALL): Use _MSUFTO_ in __REDIRTO call.
+	(__MATH_REDIRCALL_2): Likewise.
+	(__MATH_REDIRCALL_INTERNAL): Likewise.
+	(__REDIRFROM (lgamma, , _MSUF_)): Likewise.
+	(__REDIRFROM (gamma, , _MSUF_)): Likewise.
+	(__REDIRFROM (tgamma, , _MSUF_)): Likewise.
+
 	* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/w_sqrt_compat-power5.S:
 	Remove file.
 	* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/w_sqrt_compat-ppc32.S:
diff --git a/math/bits/math-finite.h b/math/bits/math-finite.h
index b07ce31d04..4c8295842c 100644
--- a/math/bits/math-finite.h
+++ b/math/bits/math-finite.h
@@ -24,15 +24,8 @@
   function ## suffix ## reentrant
 #define __REDIRFROM(...) __REDIRFROM_X(__VA_ARGS__)
 
-/* Redirect long double versions of the functions to the corresponding
-   double version if __NO_LONG_DOUBLE_MATH is defined.  */
-#if __MATH_DECLARING_LDOUBLE && defined __NO_LONG_DOUBLE_MATH
-# define __REDIRTO_X(function, reentrant, suffix) \
-   __ ## function ## reentrant ## _finite
-#else
-# define __REDIRTO_X(function, reentrant, suffix) \
+#define __REDIRTO_X(function, reentrant, suffix) \
    __ ## function ## suffix ## reentrant ## _finite
-#endif
 #define __REDIRTO(...) __REDIRTO_X(__VA_ARGS__)
 
 #define __MATH_REDIRCALL_X(from, args, to) \
@@ -40,17 +33,17 @@
 #define __MATH_REDIRCALL(function, reentrant, args) \
   __MATH_REDIRCALL_X \
    (__REDIRFROM (function, reentrant, _MSUF_), args, \
-    __REDIRTO (function, reentrant, _MSUF_))
+    __REDIRTO (function, reentrant, _MSUFTO_))
 #define __MATH_REDIRCALL_2(from, reentrant, args, to) \
   __MATH_REDIRCALL_X \
    (__REDIRFROM (from, reentrant, _MSUF_), args, \
-    __REDIRTO (to, reentrant, _MSUF_))
+    __REDIRTO (to, reentrant, _MSUFTO_))
 
 #define __MATH_REDIRCALL_INTERNAL(function, reentrant, args) \
   __MATH_REDIRCALL_X \
    (__REDIRFROM (__CONCAT (__, function), \
 		 __CONCAT (reentrant, _finite), _MSUF_), \
-    args, __REDIRTO (function, _r, _MSUF_))
+    args, __REDIRTO (function, _r, _MSUFTO_))
 
 
 /* acos.  */
@@ -139,10 +132,10 @@ __extern_always_inline _Mdouble_
 __NTH (__REDIRFROM (lgamma, , _MSUF_) (_Mdouble_ __d))
 {
 # if defined __USE_MISC || defined __USE_XOPEN
-  return __REDIRTO (lgamma, _r, _MSUF_) (__d, &signgam);
+  return __REDIRTO (lgamma, _r, _MSUFTO_) (__d, &signgam);
 # else
   int __local_signgam = 0;
-  return __REDIRTO (lgamma, _r, _MSUF_) (__d, &__local_signgam);
+  return __REDIRTO (lgamma, _r, _MSUFTO_) (__d, &__local_signgam);
 # endif
 }
 #endif
@@ -153,7 +146,7 @@ __NTH (__REDIRFROM (lgamma, , _MSUF_) (_Mdouble_ __d))
 __extern_always_inline _Mdouble_
 __NTH (__REDIRFROM (gamma, , _MSUF_) (_Mdouble_ __d))
 {
-  return __REDIRTO (lgamma, _r, _MSUF_) (__d, &signgam);
+  return __REDIRTO (lgamma, _r, _MSUFTO_) (__d, &signgam);
 }
 #endif
 
@@ -200,7 +193,7 @@ __extern_always_inline _Mdouble_
 __NTH (__REDIRFROM (tgamma, , _MSUF_) (_Mdouble_ __d))
 {
   int __local_signgam = 0;
-  _Mdouble_ __res = __REDIRTO (gamma, _r, _MSUF_) (__d, &__local_signgam);
+  _Mdouble_ __res = __REDIRTO (gamma, _r, _MSUFTO_) (__d, &__local_signgam);
   return __local_signgam < 0 ? -__res : __res;
 }
 #endif
diff --git a/math/math.h b/math/math.h
index 5acbe88906..9162bee50c 100644
--- a/math/math.h
+++ b/math/math.h
@@ -618,15 +618,15 @@ iszero (__T __val)
 /* Include bits/math-finite.h for double.  */
 # define _Mdouble_ double
 # define __MATH_DECLARING_DOUBLE 1
-# define __MATH_DECLARING_LDOUBLE 0
 # define __MATH_DECLARING_FLOATN 0
 # define _MSUF_
+# define _MSUFTO_
 # include <bits/math-finite.h>
 # undef _Mdouble_
 # undef __MATH_DECLARING_DOUBLE
-# undef __MATH_DECLARING_LDOUBLE
 # undef __MATH_DECLARING_FLOATN
 # undef _MSUF_
+# undef _MSUFTO_
 
 /* When __USE_ISOC99 is defined, include math-finite for float and
    long double, as well.  */
@@ -635,29 +635,33 @@ iszero (__T __val)
 /* Include bits/math-finite.h for float.  */
 #  define _Mdouble_ float
 #  define __MATH_DECLARING_DOUBLE 0
-#  define __MATH_DECLARING_LDOUBLE 0
 #  define __MATH_DECLARING_FLOATN 0
 #  define _MSUF_ f
+#  define _MSUFTO_ f
 #  include <bits/math-finite.h>
 #  undef _Mdouble_
 #  undef __MATH_DECLARING_DOUBLE
-#  undef __MATH_DECLARING_LDOUBLE
 #  undef __MATH_DECLARING_FLOATN
 #  undef _MSUF_
+#  undef _MSUFTO_
 
 /* Include bits/math-finite.h for long double.  */
 #  ifdef __MATH_DECLARE_LDOUBLE
 #   define _Mdouble_ long double
 #   define __MATH_DECLARING_DOUBLE 0
-#   define __MATH_DECLARING_LDOUBLE 1
 #   define __MATH_DECLARING_FLOATN 0
 #   define _MSUF_ l
+#   ifdef __NO_LONG_DOUBLE_MATH
+#    define _MSUFTO_
+#   else
+#    define _MSUFTO_ l
+#   endif
 #   include <bits/math-finite.h>
 #   undef _Mdouble_
 #   undef __MATH_DECLARING_DOUBLE
-#   undef __MATH_DECLARING_LDOUBLE
 #   undef __MATH_DECLARING_FLOATN
 #   undef _MSUF_
+#   undef _MSUFTO_
 #  endif
 
 # endif /* __USE_ISOC99.  */
@@ -667,15 +671,19 @@ iszero (__T __val)
       && __GLIBC_USE (IEC_60559_TYPES_EXT)
 #  define _Mdouble_ _Float128
 #  define __MATH_DECLARING_DOUBLE 0
-#  define __MATH_DECLARING_LDOUBLE 0
 #  define __MATH_DECLARING_FLOATN 1
 #  define _MSUF_ f128
+#  if __HAVE_DISTINCT_FLOAT128
+#   define _MSUFTO_ f128
+#  else
+#   define _MSUFTO_ l
+#  endif
 #  include <bits/math-finite.h>
 #  undef _Mdouble_
 #  undef __MATH_DECLARING_DOUBLE
-#  undef __MATH_DECLARING_LDOUBLE
 #  undef __MATH_DECLARING_FLOATN
 #  undef _MSUF_
+#  undef _MSUFTO_
 # endif
 #endif /* __FINITE_MATH_ONLY__ > 0.  */