diff --git a/config/cmake/H5pubconf.h.in b/config/cmake/H5pubconf.h.in
index 8a4db30d79..e14e2127bb 100644
--- a/config/cmake/H5pubconf.h.in
+++ b/config/cmake/H5pubconf.h.in
@@ -156,12 +156,6 @@
 /* Define to 1 if you have the `fork' function. */
 #cmakedefine H5_HAVE_FORK @H5_HAVE_FORK@
 
-/* Define to 1 if you have the `frexpf' function. */
-#cmakedefine H5_HAVE_FREXPF @H5_HAVE_FREXPF@
-
-/* Define to 1 if you have the `frexpl' function. */
-#cmakedefine H5_HAVE_FREXPL @H5_HAVE_FREXPL@
-
 /* Define to 1 if you have the `fseeko' function. */
 #cmakedefine H5_HAVE_FSEEKO @H5_HAVE_FSEEKO@
 
diff --git a/config/cmake_ext_mod/ConfigureChecks.cmake b/config/cmake_ext_mod/ConfigureChecks.cmake
index f762a1f03a..ad8496a4d7 100644
--- a/config/cmake_ext_mod/ConfigureChecks.cmake
+++ b/config/cmake_ext_mod/ConfigureChecks.cmake
@@ -467,8 +467,6 @@ CHECK_FUNCTION_EXISTS (alarm             ${HDF_PREFIX}_HAVE_ALARM)
 CHECK_FUNCTION_EXISTS (fcntl             ${HDF_PREFIX}_HAVE_FCNTL)
 CHECK_FUNCTION_EXISTS (flock             ${HDF_PREFIX}_HAVE_FLOCK)
 CHECK_FUNCTION_EXISTS (fork              ${HDF_PREFIX}_HAVE_FORK)
-CHECK_FUNCTION_EXISTS (frexpf            ${HDF_PREFIX}_HAVE_FREXPF)
-CHECK_FUNCTION_EXISTS (frexpl            ${HDF_PREFIX}_HAVE_FREXPL)
 
 CHECK_FUNCTION_EXISTS (gethostname       ${HDF_PREFIX}_HAVE_GETHOSTNAME)
 CHECK_FUNCTION_EXISTS (getrusage         ${HDF_PREFIX}_HAVE_GETRUSAGE)
diff --git a/configure.ac b/configure.ac
index 75016ae454..d9a6a5ea91 100644
--- a/configure.ac
+++ b/configure.ac
@@ -2007,8 +2007,8 @@ AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
 ## NOTE: clock_gettime may require linking to the rt or posix4 library
 ##       so we'll search for it before calling AC_CHECK_FUNCS.
 AC_SEARCH_LIBS([clock_gettime], [rt posix4])
-AC_CHECK_FUNCS([alarm clock_gettime difftime fcntl flock fork frexpf])
-AC_CHECK_FUNCS([frexpl gethostname getrusage gettimeofday])
+AC_CHECK_FUNCS([alarm clock_gettime difftime fcntl flock fork])
+AC_CHECK_FUNCS([gethostname getrusage gettimeofday])
 AC_CHECK_FUNCS([lstat rand_r random setsysinfo])
 AC_CHECK_FUNCS([siglongjmp sigsetjmp sigprocmask])
 AC_CHECK_FUNCS([srandom strdup symlink])
diff --git a/src/H5private.h b/src/H5private.h
index 2478c2ec5c..ed17d4cc17 100644
--- a/src/H5private.h
+++ b/src/H5private.h
@@ -766,12 +766,11 @@ typedef struct {
 #ifndef HDfabs
 #define HDfabs(X) fabs(X)
 #endif /* HDfabs */
-/* use ABS() because fabsf() fabsl() are not common yet. */
 #ifndef HDfabsf
-#define HDfabsf(X) ABS(X)
+#define HDfabsf(X) fabsf(X)
 #endif /* HDfabsf */
 #ifndef HDfabsl
-#define HDfabsl(X) ABS(X)
+#define HDfabsl(X) fabsl(X)
 #endif /* HDfabsl */
 #ifndef HDfclose
 #define HDfclose(F) fclose(F)
@@ -863,20 +862,11 @@ H5_DLL H5_ATTR_CONST int Nflock(int fd, int operation);
 #ifndef HDfrexp
 #define HDfrexp(X, N) frexp(X, N)
 #endif /* HDfrexp */
-/* Check for Cray-specific 'frexpf()' and 'frexpl()' routines */
 #ifndef HDfrexpf
-#ifdef H5_HAVE_FREXPF
 #define HDfrexpf(X, N) frexpf(X, N)
-#else /* H5_HAVE_FREXPF */
-#define HDfrexpf(X, N) frexp(X, N)
-#endif /* H5_HAVE_FREXPF */
 #endif /* HDfrexpf */
 #ifndef HDfrexpl
-#ifdef H5_HAVE_FREXPL
 #define HDfrexpl(X, N) frexpl(X, N)
-#else /* H5_HAVE_FREXPL */
-#define HDfrexpl(X, N) frexp(X, N)
-#endif /* H5_HAVE_FREXPL */
 #endif /* HDfrexpl */
 /* fscanf() variable arguments */
 #ifndef HDfseek
diff --git a/tools/test/perform/pio_standalone.h b/tools/test/perform/pio_standalone.h
index 82fabdcb09..2d89d30385 100644
--- a/tools/test/perform/pio_standalone.h
+++ b/tools/test/perform/pio_standalone.h
@@ -108,10 +108,9 @@
 #define HD_exit(N)         _exit(N)
 #define HDexp(X)           exp(X)
 #define HDfabs(X)          fabs(X)
-/* use ABS() because fabsf() fabsl() are not common yet. */
-#define HDfabsf(X)  ABS(X)
-#define HDfabsl(X)  ABS(X)
-#define HDfclose(F) fclose(F)
+#define HDfabsf(X)         fabsf(X)
+#define HDfabsl(X)         fabsl(X)
+#define HDfclose(F)        fclose(F)
 /* fcntl() variable arguments */
 #define HDfdopen(N, S)   fdopen(N, S)
 #define HDfeof(F)        feof(F)
@@ -137,17 +136,8 @@
 #define HDfree(M)           free(M)
 #define HDfreopen(S, M, F)  freopen(S, M, F)
 #define HDfrexp(X, N)       frexp(X, N)
-/* Check for Cray-specific 'frexpf()' and 'frexpl()' routines */
-#ifdef H5_HAVE_FREXPF
-#define HDfrexpf(X, N) frexpf(X, N)
-#else /* H5_HAVE_FREXPF */
-#define HDfrexpf(X, N) frexp(X, N)
-#endif /* H5_HAVE_FREXPF */
-#ifdef H5_HAVE_FREXPL
-#define HDfrexpl(X, N) frexpl(X, N)
-#else /* H5_HAVE_FREXPL */
-#define HDfrexpl(X, N) frexp(X, N)
-#endif /* H5_HAVE_FREXPL */
+#define HDfrexpf(X, N)      frexpf(X, N)
+#define HDfrexpl(X, N)      frexpl(X, N)
 /* fscanf() variable arguments */
 #ifdef H5_HAVE_FSEEKO
 #define HDfseek(F, O, W) fseeko(F, O, W)
diff --git a/tools/test/perform/sio_standalone.h b/tools/test/perform/sio_standalone.h
index 54e82fa1b2..9bdac2984e 100644
--- a/tools/test/perform/sio_standalone.h
+++ b/tools/test/perform/sio_standalone.h
@@ -123,10 +123,9 @@
 #define HD_exit(N)         _exit(N)
 #define HDexp(X)           exp(X)
 #define HDfabs(X)          fabs(X)
-/* use ABS() because fabsf() fabsl() are not common yet. */
-#define HDfabsf(X)  ABS(X)
-#define HDfabsl(X)  ABS(X)
-#define HDfclose(F) fclose(F)
+#define HDfabsf(X)         fabsf(X)
+#define HDfabsl(X)         fabsl(X)
+#define HDfclose(F)        fclose(F)
 /* fcntl() variable arguments */
 #define HDfdopen(N, S)   fdopen(N, S)
 #define HDfeof(F)        feof(F)
@@ -152,17 +151,8 @@
 #define HDfree(M)           free(M)
 #define HDfreopen(S, M, F)  freopen(S, M, F)
 #define HDfrexp(X, N)       frexp(X, N)
-/* Check for Cray-specific 'frexpf()' and 'frexpl()' routines */
-#ifdef H5_HAVE_FREXPF
-#define HDfrexpf(X, N) frexpf(X, N)
-#else /* H5_HAVE_FREXPF */
-#define HDfrexpf(X, N) frexp(X, N)
-#endif /* H5_HAVE_FREXPF */
-#ifdef H5_HAVE_FREXPL
-#define HDfrexpl(X, N) frexpl(X, N)
-#else /* H5_HAVE_FREXPL */
-#define HDfrexpl(X, N) frexp(X, N)
-#endif /* H5_HAVE_FREXPL */
+#define HDfrexpf(X, N)      frexpf(X, N)
+#define HDfrexpl(X, N)      frexpl(X, N)
 /* fscanf() variable arguments */
 #ifdef H5_HAVE_FSEEKO
 #define HDfseek(F, O, W) fseeko(F, O, W)