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[RFC][PATCH] New expf, exp2f, logf, log2f and powf implementations


Based on code from https://github.com/ARM-software/optimized-routines/

This patch adds a highly optimized generic implementation of expf,
exp2f, logf, log2f and powf.  The new functions are not only
significantly faster, but are also smaller, more accurate and fix
several correctness issues.  In order to achieve this, the algorithm
uses double precision arithmetic for accuracy, avoids divisions and
uses small table lookups to minimize the polynomials.  Special cases
are handled inline to avoid the unnecessary overhead of wrapper
functions and set errno to POSIX requirements.

The new functions are added under newlib/libm/common and are
currently enabled for AArch64 and AArch32 with VFP format.  The
new functions are written in C99 and do not support non-IEEE
representations, mixed endian doubles or non-standard errno setting.
Targets can enable the new math code by undefining OBSOLETE_MATH.
Targets with a single precision FPU may still prefer the old
implementation. It was not clear what's the best way to add such
alternative math implementations to newlib so this is an RFC
patch and feedback is welcome.
diff --git a/newlib/libc/include/machine/ieeefp.h b/newlib/libc/include/machine/ieeefp.h
index 11ef0dd03..2df54b45e 100644
--- a/newlib/libc/include/machine/ieeefp.h
+++ b/newlib/libc/include/machine/ieeefp.h
@@ -50,6 +50,9 @@
 	
 */
 
+/* New math code is opt-in for now.  */
+#define OBSOLETE_MATH 1
+
 #if (defined(__arm__) || defined(__thumb__)) && !defined(__MAVERICK__)
 /* ARM traditionally used big-endian words; and within those words the
    byte ordering was big or little endian depending upon the target.
@@ -61,6 +64,7 @@
 # else
 #  define __IEEE_BIG_ENDIAN
 # endif
+# undef OBSOLETE_MATH
 #else
 # define __IEEE_BIG_ENDIAN
 # ifdef __ARMEL__
@@ -75,6 +79,7 @@
 #else
 #define __IEEE_BIG_ENDIAN
 #endif
+#undef OBSOLETE_MATH
 #endif
 
 #ifdef __epiphany__
diff --git a/newlib/libm/common/Makefile.am b/newlib/libm/common/Makefile.am
index 1268e17db..3e2620c7e 100644
--- a/newlib/libm/common/Makefile.am
+++ b/newlib/libm/common/Makefile.am
@@ -18,11 +18,14 @@ fsrc =	sf_finite.c sf_copysign.c sf_modf.c sf_scalbn.c \
 	sf_cbrt.c sf_exp10.c sf_expm1.c sf_ilogb.c \
 	sf_infinity.c sf_isinf.c sf_isinff.c sf_isnan.c sf_isnanf.c \
 	sf_log1p.c sf_nan.c sf_nextafter.c sf_pow10.c \
-	sf_rint.c sf_logb.c sf_log2.c \
+	sf_rint.c sf_logb.c \
 	sf_fdim.c sf_fma.c sf_fmax.c sf_fmin.c sf_fpclassify.c \
 	sf_lrint.c sf_llrint.c \
 	sf_lround.c sf_llround.c sf_nearbyint.c sf_remquo.c sf_round.c \
-	sf_scalbln.c sf_trunc.c
+	sf_scalbln.c sf_trunc.c \
+	sf_exp.c sf_exp2.c sf_exp2_data.c sf_log.c sf_log_data.c \
+	sf_log2.c sf_log2_data.c sf_pow_log2_data.c sf_pow.c \
+	math_errf.c
 
 lsrc =	atanl.c cosl.c sinl.c tanl.c tanhl.c frexpl.c modfl.c ceill.c fabsl.c \
 	floorl.c log1pl.c expm1l.c acosl.c asinl.c atan2l.c coshl.c sinhl.c \
diff --git a/newlib/libm/common/Makefile.in b/newlib/libm/common/Makefile.in
index 9b367653d..c603be361 100644
--- a/newlib/libm/common/Makefile.in
+++ b/newlib/libm/common/Makefile.in
@@ -78,21 +78,21 @@ am__objects_1 = lib_a-s_finite.$(OBJEXT) lib_a-s_copysign.$(OBJEXT) \
 	lib_a-s_modf.$(OBJEXT) lib_a-s_scalbn.$(OBJEXT) \
 	lib_a-s_cbrt.$(OBJEXT) lib_a-s_exp10.$(OBJEXT) \
 	lib_a-s_expm1.$(OBJEXT) lib_a-s_ilogb.$(OBJEXT) \
-	lib_a-s_infinity.$(OBJEXT) \
-	lib_a-s_isinf.$(OBJEXT) lib_a-s_isinfd.$(OBJEXT) \
-	lib_a-s_isnan.$(OBJEXT) lib_a-s_isnand.$(OBJEXT) \
-	lib_a-s_log1p.$(OBJEXT) lib_a-s_nan.$(OBJEXT) \
-	lib_a-s_nextafter.$(OBJEXT) lib_a-s_pow10.$(OBJEXT) \
-	lib_a-s_rint.$(OBJEXT) lib_a-s_logb.$(OBJEXT) \
-	lib_a-s_log2.$(OBJEXT) lib_a-s_matherr.$(OBJEXT) \
-	lib_a-s_lib_ver.$(OBJEXT) lib_a-s_fdim.$(OBJEXT) \
-	lib_a-s_fma.$(OBJEXT) lib_a-s_fmax.$(OBJEXT) \
-	lib_a-s_fmin.$(OBJEXT) lib_a-s_fpclassify.$(OBJEXT) \
-	lib_a-s_lrint.$(OBJEXT) lib_a-s_llrint.$(OBJEXT) \
-	lib_a-s_lround.$(OBJEXT) lib_a-s_llround.$(OBJEXT) \
-	lib_a-s_nearbyint.$(OBJEXT) lib_a-s_remquo.$(OBJEXT) \
-	lib_a-s_round.$(OBJEXT) lib_a-s_scalbln.$(OBJEXT) \
-	lib_a-s_signbit.$(OBJEXT) lib_a-s_trunc.$(OBJEXT)
+	lib_a-s_infinity.$(OBJEXT) lib_a-s_isinf.$(OBJEXT) \
+	lib_a-s_isinfd.$(OBJEXT) lib_a-s_isnan.$(OBJEXT) \
+	lib_a-s_isnand.$(OBJEXT) lib_a-s_log1p.$(OBJEXT) \
+	lib_a-s_nan.$(OBJEXT) lib_a-s_nextafter.$(OBJEXT) \
+	lib_a-s_pow10.$(OBJEXT) lib_a-s_rint.$(OBJEXT) \
+	lib_a-s_logb.$(OBJEXT) lib_a-s_log2.$(OBJEXT) \
+	lib_a-s_matherr.$(OBJEXT) lib_a-s_lib_ver.$(OBJEXT) \
+	lib_a-s_fdim.$(OBJEXT) lib_a-s_fma.$(OBJEXT) \
+	lib_a-s_fmax.$(OBJEXT) lib_a-s_fmin.$(OBJEXT) \
+	lib_a-s_fpclassify.$(OBJEXT) lib_a-s_lrint.$(OBJEXT) \
+	lib_a-s_llrint.$(OBJEXT) lib_a-s_lround.$(OBJEXT) \
+	lib_a-s_llround.$(OBJEXT) lib_a-s_nearbyint.$(OBJEXT) \
+	lib_a-s_remquo.$(OBJEXT) lib_a-s_round.$(OBJEXT) \
+	lib_a-s_scalbln.$(OBJEXT) lib_a-s_signbit.$(OBJEXT) \
+	lib_a-s_trunc.$(OBJEXT)
 am__objects_2 = lib_a-sf_finite.$(OBJEXT) lib_a-sf_copysign.$(OBJEXT) \
 	lib_a-sf_modf.$(OBJEXT) lib_a-sf_scalbn.$(OBJEXT) \
 	lib_a-sf_cbrt.$(OBJEXT) lib_a-sf_exp10.$(OBJEXT) \
@@ -102,14 +102,19 @@ am__objects_2 = lib_a-sf_finite.$(OBJEXT) lib_a-sf_copysign.$(OBJEXT) \
 	lib_a-sf_isnanf.$(OBJEXT) lib_a-sf_log1p.$(OBJEXT) \
 	lib_a-sf_nan.$(OBJEXT) lib_a-sf_nextafter.$(OBJEXT) \
 	lib_a-sf_pow10.$(OBJEXT) lib_a-sf_rint.$(OBJEXT) \
-	lib_a-sf_logb.$(OBJEXT) lib_a-sf_log2.$(OBJEXT) \
-	lib_a-sf_fdim.$(OBJEXT) lib_a-sf_fma.$(OBJEXT) \
-	lib_a-sf_fmax.$(OBJEXT) lib_a-sf_fmin.$(OBJEXT) \
-	lib_a-sf_fpclassify.$(OBJEXT) lib_a-sf_lrint.$(OBJEXT) \
-	lib_a-sf_llrint.$(OBJEXT) lib_a-sf_lround.$(OBJEXT) \
-	lib_a-sf_llround.$(OBJEXT) lib_a-sf_nearbyint.$(OBJEXT) \
-	lib_a-sf_remquo.$(OBJEXT) lib_a-sf_round.$(OBJEXT) \
-	lib_a-sf_scalbln.$(OBJEXT) lib_a-sf_trunc.$(OBJEXT)
+	lib_a-sf_logb.$(OBJEXT) lib_a-sf_fdim.$(OBJEXT) \
+	lib_a-sf_fma.$(OBJEXT) lib_a-sf_fmax.$(OBJEXT) \
+	lib_a-sf_fmin.$(OBJEXT) lib_a-sf_fpclassify.$(OBJEXT) \
+	lib_a-sf_lrint.$(OBJEXT) lib_a-sf_llrint.$(OBJEXT) \
+	lib_a-sf_lround.$(OBJEXT) lib_a-sf_llround.$(OBJEXT) \
+	lib_a-sf_nearbyint.$(OBJEXT) lib_a-sf_remquo.$(OBJEXT) \
+	lib_a-sf_round.$(OBJEXT) lib_a-sf_scalbln.$(OBJEXT) \
+	lib_a-sf_trunc.$(OBJEXT) lib_a-sf_exp.$(OBJEXT) \
+	lib_a-sf_exp2.$(OBJEXT) lib_a-sf_exp2_data.$(OBJEXT) \
+	lib_a-sf_log.$(OBJEXT) lib_a-sf_log_data.$(OBJEXT) \
+	lib_a-sf_log2.$(OBJEXT) lib_a-sf_log2_data.$(OBJEXT) \
+	lib_a-sf_pow_log2_data.$(OBJEXT) lib_a-sf_pow.$(OBJEXT) \
+	lib_a-math_errf.$(OBJEXT)
 am__objects_3 = lib_a-atanl.$(OBJEXT) lib_a-cosl.$(OBJEXT) \
 	lib_a-sinl.$(OBJEXT) lib_a-tanl.$(OBJEXT) \
 	lib_a-tanhl.$(OBJEXT) lib_a-frexpl.$(OBJEXT) \
@@ -148,21 +153,23 @@ lib_a_OBJECTS = $(am_lib_a_OBJECTS)
 LTLIBRARIES = $(noinst_LTLIBRARIES)
 libcommon_la_LIBADD =
 am__objects_5 = s_finite.lo s_copysign.lo s_modf.lo s_scalbn.lo \
-	s_cbrt.lo s_exp10.lo s_expm1.lo s_ilogb.lo \
-	s_infinity.lo s_isinf.lo s_isinfd.lo s_isnan.lo s_isnand.lo \
-	s_log1p.lo s_nan.lo s_nextafter.lo s_pow10.lo s_rint.lo \
-	s_logb.lo s_log2.lo s_matherr.lo s_lib_ver.lo s_fdim.lo \
-	s_fma.lo s_fmax.lo s_fmin.lo s_fpclassify.lo s_lrint.lo \
-	s_llrint.lo s_lround.lo s_llround.lo s_nearbyint.lo \
-	s_remquo.lo s_round.lo s_scalbln.lo s_signbit.lo s_trunc.lo
+	s_cbrt.lo s_exp10.lo s_expm1.lo s_ilogb.lo s_infinity.lo \
+	s_isinf.lo s_isinfd.lo s_isnan.lo s_isnand.lo s_log1p.lo \
+	s_nan.lo s_nextafter.lo s_pow10.lo s_rint.lo s_logb.lo \
+	s_log2.lo s_matherr.lo s_lib_ver.lo s_fdim.lo s_fma.lo \
+	s_fmax.lo s_fmin.lo s_fpclassify.lo s_lrint.lo s_llrint.lo \
+	s_lround.lo s_llround.lo s_nearbyint.lo s_remquo.lo s_round.lo \
+	s_scalbln.lo s_signbit.lo s_trunc.lo
 am__objects_6 = sf_finite.lo sf_copysign.lo sf_modf.lo sf_scalbn.lo \
 	sf_cbrt.lo sf_exp10.lo sf_expm1.lo sf_ilogb.lo sf_infinity.lo \
 	sf_isinf.lo sf_isinff.lo sf_isnan.lo sf_isnanf.lo sf_log1p.lo \
 	sf_nan.lo sf_nextafter.lo sf_pow10.lo sf_rint.lo sf_logb.lo \
-	sf_log2.lo sf_fdim.lo sf_fma.lo sf_fmax.lo sf_fmin.lo \
-	sf_fpclassify.lo sf_lrint.lo sf_llrint.lo sf_lround.lo \
-	sf_llround.lo sf_nearbyint.lo sf_remquo.lo sf_round.lo \
-	sf_scalbln.lo sf_trunc.lo
+	sf_fdim.lo sf_fma.lo sf_fmax.lo sf_fmin.lo sf_fpclassify.lo \
+	sf_lrint.lo sf_llrint.lo sf_lround.lo sf_llround.lo \
+	sf_nearbyint.lo sf_remquo.lo sf_round.lo sf_scalbln.lo \
+	sf_trunc.lo sf_exp.lo sf_exp2.lo sf_exp2_data.lo sf_log.lo \
+	sf_log_data.lo sf_log2.lo sf_log2_data.lo sf_pow_log2_data.lo \
+	sf_pow.lo math_errf.lo
 am__objects_7 = atanl.lo cosl.lo sinl.lo tanl.lo tanhl.lo frexpl.lo \
 	modfl.lo ceill.lo fabsl.lo floorl.lo log1pl.lo expm1l.lo \
 	acosl.lo asinl.lo atan2l.lo coshl.lo sinhl.lo expl.lo \
@@ -347,11 +354,14 @@ fsrc = sf_finite.c sf_copysign.c sf_modf.c sf_scalbn.c \
 	sf_cbrt.c sf_exp10.c sf_expm1.c sf_ilogb.c \
 	sf_infinity.c sf_isinf.c sf_isinff.c sf_isnan.c sf_isnanf.c \
 	sf_log1p.c sf_nan.c sf_nextafter.c sf_pow10.c \
-	sf_rint.c sf_logb.c sf_log2.c \
+	sf_rint.c sf_logb.c \
 	sf_fdim.c sf_fma.c sf_fmax.c sf_fmin.c sf_fpclassify.c \
 	sf_lrint.c sf_llrint.c \
 	sf_lround.c sf_llround.c sf_nearbyint.c sf_remquo.c sf_round.c \
-	sf_scalbln.c sf_trunc.c
+	sf_scalbln.c sf_trunc.c \
+	sf_exp.c sf_exp2.c sf_exp2_data.c sf_log.c sf_log_data.c \
+	sf_log2.c sf_log2_data.c sf_pow_log2_data.c sf_pow.c \
+	math_errf.c
 
 lsrc = atanl.c cosl.c sinl.c tanl.c tanhl.c frexpl.c modfl.c ceill.c fabsl.c \
 	floorl.c log1pl.c expm1l.c acosl.c asinl.c atan2l.c coshl.c sinhl.c \
@@ -796,12 +806,6 @@ lib_a-sf_logb.o: sf_logb.c
 lib_a-sf_logb.obj: sf_logb.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_logb.obj `if test -f 'sf_logb.c'; then $(CYGPATH_W) 'sf_logb.c'; else $(CYGPATH_W) '$(srcdir)/sf_logb.c'; fi`
 
-lib_a-sf_log2.o: sf_log2.c
-	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log2.o `test -f 'sf_log2.c' || echo '$(srcdir)/'`sf_log2.c
-
-lib_a-sf_log2.obj: sf_log2.c
-	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log2.obj `if test -f 'sf_log2.c'; then $(CYGPATH_W) 'sf_log2.c'; else $(CYGPATH_W) '$(srcdir)/sf_log2.c'; fi`
-
 lib_a-sf_fdim.o: sf_fdim.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_fdim.o `test -f 'sf_fdim.c' || echo '$(srcdir)/'`sf_fdim.c
 
@@ -886,6 +890,66 @@ lib_a-sf_trunc.o: sf_trunc.c
 lib_a-sf_trunc.obj: sf_trunc.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_trunc.obj `if test -f 'sf_trunc.c'; then $(CYGPATH_W) 'sf_trunc.c'; else $(CYGPATH_W) '$(srcdir)/sf_trunc.c'; fi`
 
+lib_a-sf_exp.o: sf_exp.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_exp.o `test -f 'sf_exp.c' || echo '$(srcdir)/'`sf_exp.c
+
+lib_a-sf_exp.obj: sf_exp.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_exp.obj `if test -f 'sf_exp.c'; then $(CYGPATH_W) 'sf_exp.c'; else $(CYGPATH_W) '$(srcdir)/sf_exp.c'; fi`
+
+lib_a-sf_exp2.o: sf_exp2.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_exp2.o `test -f 'sf_exp2.c' || echo '$(srcdir)/'`sf_exp2.c
+
+lib_a-sf_exp2.obj: sf_exp2.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_exp2.obj `if test -f 'sf_exp2.c'; then $(CYGPATH_W) 'sf_exp2.c'; else $(CYGPATH_W) '$(srcdir)/sf_exp2.c'; fi`
+
+lib_a-sf_exp2_data.o: sf_exp2_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_exp2_data.o `test -f 'sf_exp2_data.c' || echo '$(srcdir)/'`sf_exp2_data.c
+
+lib_a-sf_exp2_data.obj: sf_exp2_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_exp2_data.obj `if test -f 'sf_exp2_data.c'; then $(CYGPATH_W) 'sf_exp2_data.c'; else $(CYGPATH_W) '$(srcdir)/sf_exp2_data.c'; fi`
+
+lib_a-sf_log.o: sf_log.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log.o `test -f 'sf_log.c' || echo '$(srcdir)/'`sf_log.c
+
+lib_a-sf_log.obj: sf_log.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log.obj `if test -f 'sf_log.c'; then $(CYGPATH_W) 'sf_log.c'; else $(CYGPATH_W) '$(srcdir)/sf_log.c'; fi`
+
+lib_a-sf_log_data.o: sf_log_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log_data.o `test -f 'sf_log_data.c' || echo '$(srcdir)/'`sf_log_data.c
+
+lib_a-sf_log_data.obj: sf_log_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log_data.obj `if test -f 'sf_log_data.c'; then $(CYGPATH_W) 'sf_log_data.c'; else $(CYGPATH_W) '$(srcdir)/sf_log_data.c'; fi`
+
+lib_a-sf_log2.o: sf_log2.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log2.o `test -f 'sf_log2.c' || echo '$(srcdir)/'`sf_log2.c
+
+lib_a-sf_log2.obj: sf_log2.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log2.obj `if test -f 'sf_log2.c'; then $(CYGPATH_W) 'sf_log2.c'; else $(CYGPATH_W) '$(srcdir)/sf_log2.c'; fi`
+
+lib_a-sf_log2_data.o: sf_log2_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log2_data.o `test -f 'sf_log2_data.c' || echo '$(srcdir)/'`sf_log2_data.c
+
+lib_a-sf_log2_data.obj: sf_log2_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_log2_data.obj `if test -f 'sf_log2_data.c'; then $(CYGPATH_W) 'sf_log2_data.c'; else $(CYGPATH_W) '$(srcdir)/sf_log2_data.c'; fi`
+
+lib_a-sf_pow_log2_data.o: sf_pow_log2_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_pow_log2_data.o `test -f 'sf_pow_log2_data.c' || echo '$(srcdir)/'`sf_pow_log2_data.c
+
+lib_a-sf_pow_log2_data.obj: sf_pow_log2_data.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_pow_log2_data.obj `if test -f 'sf_pow_log2_data.c'; then $(CYGPATH_W) 'sf_pow_log2_data.c'; else $(CYGPATH_W) '$(srcdir)/sf_pow_log2_data.c'; fi`
+
+lib_a-sf_pow.o: sf_pow.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_pow.o `test -f 'sf_pow.c' || echo '$(srcdir)/'`sf_pow.c
+
+lib_a-sf_pow.obj: sf_pow.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-sf_pow.obj `if test -f 'sf_pow.c'; then $(CYGPATH_W) 'sf_pow.c'; else $(CYGPATH_W) '$(srcdir)/sf_pow.c'; fi`
+
+lib_a-math_errf.o: math_errf.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-math_errf.o `test -f 'math_errf.c' || echo '$(srcdir)/'`math_errf.c
+
+lib_a-math_errf.obj: math_errf.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-math_errf.obj `if test -f 'math_errf.c'; then $(CYGPATH_W) 'math_errf.c'; else $(CYGPATH_W) '$(srcdir)/math_errf.c'; fi`
+
 lib_a-atanl.o: atanl.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-atanl.o `test -f 'atanl.c' || echo '$(srcdir)/'`atanl.c
 
diff --git a/newlib/libm/common/math_config.h b/newlib/libm/common/math_config.h
new file mode 100644
index 000000000..dea981ca9
--- /dev/null
+++ b/newlib/libm/common/math_config.h
@@ -0,0 +1,175 @@
+/* Configuration for math routines.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#ifndef _MATH_CONFIG_H
+#define _MATH_CONFIG_H
+
+#include <math.h>
+#include <stdint.h>
+
+#ifndef WANT_ROUNDING
+/* Correct special case results in non-nearest rounding modes.  */
+#define WANT_ROUNDING 0
+#endif
+#ifndef WANT_ERRNO
+/* Set errno according to ISO C with (math_errhandling & MATH_ERRNO) != 0.  */
+#define WANT_ERRNO 1
+#endif
+#ifndef WANT_ERRNO_UFLOW
+/* Set errno to ERANGE if result underflows to 0 (in all rounding modes).  */
+#define WANT_ERRNO_UFLOW (WANT_ROUNDING && WANT_ERRNO)
+#endif
+
+#ifndef TOINT_INTRINSICS
+#define TOINT_INTRINSICS 0
+#endif
+#ifndef TOINT_RINT
+#define TOINT_RINT 0
+#endif
+#ifndef TOINT_SHIFT
+#define TOINT_SHIFT 1
+#endif
+
+static inline uint32_t
+asuint (float f)
+{
+  union
+  {
+    float f;
+    uint32_t i;
+  } u = {f};
+  return u.i;
+}
+
+static inline float
+asfloat (uint32_t i)
+{
+  union
+  {
+    uint32_t i;
+    float f;
+  } u = {i};
+  return u.f;
+}
+
+static inline uint64_t
+asuint64 (double f)
+{
+  union
+  {
+    double f;
+    uint64_t i;
+  } u = {f};
+  return u.i;
+}
+
+static inline double
+asdouble (uint64_t i)
+{
+  union
+  {
+    uint64_t i;
+    double f;
+  } u = {i};
+  return u.f;
+}
+
+static inline int
+ieee_2008_issignaling (float x)
+{
+  uint32_t ix = asuint (x);
+  ix ^= 0x00400000; /* IEEE 754-2008 snan bit.  */
+  return 2 * ix > 2u * 0x7fc00000;
+}
+
+#ifdef __GNUC__
+#define HIDDEN __attribute__ ((__visibility__ ("hidden")))
+#define NOINLINE __attribute__ ((noinline))
+#else
+#define HIDDEN
+#define NOINLINE
+#endif
+
+HIDDEN float __math_oflowf (unsigned long);
+HIDDEN float __math_uflowf (unsigned long);
+HIDDEN float __math_may_uflowf (unsigned long);
+HIDDEN float __math_divzerof (unsigned long);
+HIDDEN float __math_invalidf (float);
+
+/* Shared between expf, exp2f and powf.  */
+#define EXP2F_TABLE_BITS 5
+#define EXP2F_POLY_ORDER 3
+extern const struct exp2f_data
+{
+  uint64_t tab[1 << EXP2F_TABLE_BITS];
+  double shift_scaled;
+  double poly[EXP2F_POLY_ORDER];
+  double shift;
+  double invln2_scaled;
+  double poly_scaled[EXP2F_POLY_ORDER];
+} __exp2f_data;
+
+#define LOGF_TABLE_BITS 4
+#define LOGF_POLY_ORDER 4
+extern const struct logf_data
+{
+  struct
+  {
+    double invc, logc;
+  } tab[1 << LOGF_TABLE_BITS];
+  double ln2;
+  double poly[LOGF_POLY_ORDER];
+} __logf_data;
+
+#define LOG2F_TABLE_BITS 4
+#define LOG2F_POLY_ORDER 4
+extern const struct log2f_data
+{
+  struct
+  {
+    double invc, logc;
+  } tab[1 << LOG2F_TABLE_BITS];
+  double poly[LOG2F_POLY_ORDER];
+} __log2f_data;
+
+#define POWF_LOG2_TABLE_BITS 4
+#define POWF_LOG2_POLY_ORDER 5
+#if TOINT_INTRINSICS
+#define POWF_SCALE_BITS EXP2F_TABLE_BITS
+#else
+#define POWF_SCALE_BITS 0
+#endif
+#define POWF_SCALE ((double) (1 << POWF_SCALE_BITS))
+extern const struct powf_log2_data
+{
+  struct
+  {
+    double invc, logc;
+  } tab[1 << POWF_LOG2_TABLE_BITS];
+  double poly[POWF_LOG2_POLY_ORDER];
+} __powf_log2_data;
+
+#endif
diff --git a/newlib/libm/common/math_errf.c b/newlib/libm/common/math_errf.c
new file mode 100644
index 000000000..ccfcc00f2
--- /dev/null
+++ b/newlib/libm/common/math_errf.c
@@ -0,0 +1,89 @@
+/* Single-precision math error handling.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include "math_config.h"
+
+#if WANT_ERRNO
+#include <errno.h>
+/* NOINLINE reduces code size and avoids making math functions non-leaf
+   when the error handling is inlined.  */
+NOINLINE static float
+with_errnof (float y, int e)
+{
+  errno = e;
+  return y;
+}
+#else
+#define with_errnof(x, e) (x)
+#endif
+
+/* NOINLINE prevents fenv semantics breaking optimizations.  */
+NOINLINE static float
+xflowf (unsigned long sign, float y)
+{
+  y = (sign ? -y : y) * y;
+  return with_errnof (y, ERANGE);
+}
+
+HIDDEN float
+__math_uflowf (unsigned long sign)
+{
+  return xflowf (sign, 0x1p-95f);
+}
+
+#if WANT_ERRNO_UFLOW
+/* Underflows to zero in some non-nearest rounding mode, setting errno
+   is valid even if the result is non-zero, but in the subnormal range.  */
+HIDDEN float
+__math_may_uflowf (unsigned long sign)
+{
+  return xflowf (sign, 0x1.4p-75f);
+}
+#endif
+
+HIDDEN float
+__math_oflowf (unsigned long sign)
+{
+  return xflowf (sign, 0x1p97f);
+}
+
+HIDDEN float
+__math_divzerof (unsigned long sign)
+{
+  float y = 0;
+  return with_errnof ((sign ? -1 : 1) / y, ERANGE);
+}
+
+HIDDEN float
+__math_invalidf (float x)
+{
+  float y = (x - x) / (x - x);
+  return isnan (x) ? y : with_errnof (y, EDOM);
+}
+#endif
diff --git a/newlib/libm/common/sf_exp.c b/newlib/libm/common/sf_exp.c
new file mode 100644
index 000000000..477af8e4f
--- /dev/null
+++ b/newlib/libm/common/sf_exp.c
@@ -0,0 +1,113 @@
+/* Single-precision e^x function.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include <math.h>
+#include <stdint.h>
+#include "math_config.h"
+
+/*
+EXP2F_TABLE_BITS = 5
+EXP2F_POLY_ORDER = 3
+
+ULP error: 0.502 (nearest rounding.)
+Relative error: 1.69 * 2^-34 in [-ln2/64, ln2/64] (before rounding.)
+Wrong count: 170635 (all nearest rounding wrong results with fma.)
+Non-nearest ULP error: 1 (rounded ULP error)
+*/
+
+#define N (1 << EXP2F_TABLE_BITS)
+#define InvLn2N __exp2f_data.invln2_scaled
+#define T __exp2f_data.tab
+#define C __exp2f_data.poly_scaled
+
+static inline uint32_t
+top12 (float x)
+{
+  return asuint (x) >> 20;
+}
+
+float
+expf (float x)
+{
+  uint32_t abstop;
+  uint64_t ki, t;
+  /* double_t for better performance on targets with FLT_EVAL_METHOD==2.  */
+  double_t kd, xd, z, r, r2, y, s;
+
+  xd = (double_t) x;
+  abstop = top12 (x) & 0x7ff;
+  if (__builtin_expect (abstop >= top12 (88.0f), 0))
+    {
+      /* |x| >= 88 or x is nan.  */
+      if (asuint (x) == asuint (-INFINITY))
+	return 0.0f;
+      if (abstop >= top12 (INFINITY))
+	return x + x;
+      if (x > 0x1.62e42ep6f) /* x > log(0x1p128) ~= 88.72 */
+	return __math_oflowf (0);
+      if (x < -0x1.9fe368p6f) /* x < log(0x1p-150) ~= -103.97 */
+	return __math_uflowf (0);
+#if WANT_ERRNO_UFLOW
+      if (x < -0x1.9d1d9ep6f) /* x < log(0x1p-149) ~= -103.28 */
+	return __math_may_uflowf (0);
+#endif
+    }
+
+  /* x*N/Ln2 = k + r with r in [-1/2, 1/2] and int k.  */
+  z = InvLn2N * xd;
+
+  /* Round and convert z to int, the result is in [-150*N, 128*N] and
+     ideally ties-to-even rule is used, otherwise the magnitude of r
+     can be bigger which gives larger approximation error.  */
+#if TOINT_INTRINSICS
+  kd = roundtoint (z);
+  ki = converttoint (z);
+#elif TOINT_RINT
+  kd = rint (z);
+  ki = (long) kd;
+#elif TOINT_SHIFT
+# define SHIFT __exp2f_data.shift
+  kd = (double) (z + SHIFT); /* Rounding to double precision is required.  */
+  ki = asuint64 (kd);
+  kd -= SHIFT;
+#endif
+  r = z - kd;
+
+  /* exp(x) = 2^(k/N) * 2^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
+  t = T[ki % N];
+  t += ki << (52 - EXP2F_TABLE_BITS);
+  s = asdouble (t);
+  z = C[0] * r + C[1];
+  r2 = r * r;
+  y = C[2] * r + 1;
+  y = z * r2 + y;
+  y = y * s;
+  return (float) y;
+}
+#endif
diff --git a/newlib/libm/common/sf_exp2.c b/newlib/libm/common/sf_exp2.c
new file mode 100644
index 000000000..5ac5c9b25
--- /dev/null
+++ b/newlib/libm/common/sf_exp2.c
@@ -0,0 +1,99 @@
+/* Single-precision 2^x function.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include <math.h>
+#include <stdint.h>
+#include "math_config.h"
+
+/*
+EXP2F_TABLE_BITS = 5
+EXP2F_POLY_ORDER = 3
+
+ULP error: 0.502 (nearest rounding.)
+Relative error: 1.69 * 2^-34 in [-1/64, 1/64] (before rounding.)
+Wrong count: 168353 (all nearest rounding wrong results with fma.)
+Non-nearest ULP error: 1 (rounded ULP error)
+*/
+
+#define N (1 << EXP2F_TABLE_BITS)
+#define T __exp2f_data.tab
+#define C __exp2f_data.poly
+#define SHIFT __exp2f_data.shift_scaled
+
+static inline uint32_t
+top12 (float x)
+{
+  return asuint (x) >> 20;
+}
+
+float
+exp2f (float x)
+{
+  uint32_t abstop;
+  uint64_t ki, t;
+  /* double_t for better performance on targets with FLT_EVAL_METHOD==2.  */
+  double_t kd, xd, z, r, r2, y, s;
+
+  xd = (double_t) x;
+  abstop = top12 (x) & 0x7ff;
+  if (__builtin_expect (abstop >= top12 (128.0f), 0))
+    {
+      /* |x| >= 128 or x is nan.  */
+      if (asuint (x) == asuint (-INFINITY))
+	return 0.0f;
+      if (abstop >= top12 (INFINITY))
+	return x + x;
+      if (x > 0.0f)
+	return __math_oflowf (0);
+      if (x <= -150.0f)
+	return __math_uflowf (0);
+#if WANT_ERRNO_UFLOW
+      if (x < -149.0f)
+	return __math_may_uflowf (0);
+#endif
+    }
+
+  /* x = k/N + r with r in [-1/(2N), 1/(2N)] and int k.  */
+  kd = (double) (xd + SHIFT); /* Rounding to double precision is required.  */
+  ki = asuint64 (kd);
+  kd -= SHIFT; /* k/N for int k.  */
+  r = xd - kd;
+
+  /* exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
+  t = T[ki % N];
+  t += ki << (52 - EXP2F_TABLE_BITS);
+  s = asdouble (t);
+  z = C[0] * r + C[1];
+  r2 = r * r;
+  y = C[2] * r + 1;
+  y = z * r2 + y;
+  y = y * s;
+  return (float) y;
+}
+#endif
diff --git a/newlib/libm/common/sf_exp2_data.c b/newlib/libm/common/sf_exp2_data.c
new file mode 100644
index 000000000..0970e24fb
--- /dev/null
+++ b/newlib/libm/common/sf_exp2_data.c
@@ -0,0 +1,56 @@
+/* Shared data between expf, exp2f and powf.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include "math_config.h"
+
+#define N (1 << EXP2F_TABLE_BITS)
+
+const struct exp2f_data __exp2f_data = {
+  /* tab[i] = uint(2^(i/N)) - (i << 52-BITS)
+     used for computing 2^(k/N) for an int |k| < 150 N as
+     double(tab[k%N] + (k << 52-BITS)) */
+  .tab = {
+0x3ff0000000000000, 0x3fefd9b0d3158574, 0x3fefb5586cf9890f, 0x3fef9301d0125b51,
+0x3fef72b83c7d517b, 0x3fef54873168b9aa, 0x3fef387a6e756238, 0x3fef1e9df51fdee1,
+0x3fef06fe0a31b715, 0x3feef1a7373aa9cb, 0x3feedea64c123422, 0x3feece086061892d,
+0x3feebfdad5362a27, 0x3feeb42b569d4f82, 0x3feeab07dd485429, 0x3feea47eb03a5585,
+0x3feea09e667f3bcd, 0x3fee9f75e8ec5f74, 0x3feea11473eb0187, 0x3feea589994cce13,
+0x3feeace5422aa0db, 0x3feeb737b0cdc5e5, 0x3feec49182a3f090, 0x3feed503b23e255d,
+0x3feee89f995ad3ad, 0x3feeff76f2fb5e47, 0x3fef199bdd85529c, 0x3fef3720dcef9069,
+0x3fef5818dcfba487, 0x3fef7c97337b9b5f, 0x3fefa4afa2a490da, 0x3fefd0765b6e4540,
+  },
+  .shift_scaled = 0x1.8p+52 / N,
+  .poly = { 0x1.c6af84b912394p-5, 0x1.ebfce50fac4f3p-3, 0x1.62e42ff0c52d6p-1 },
+  .shift = 0x1.8p+52,
+  .invln2_scaled = 0x1.71547652b82fep+0 * N,
+  .poly_scaled = {
+0x1.c6af84b912394p-5/N/N/N, 0x1.ebfce50fac4f3p-3/N/N, 0x1.62e42ff0c52d6p-1/N
+  },
+};
+#endif
diff --git a/newlib/libm/common/sf_log.c b/newlib/libm/common/sf_log.c
new file mode 100644
index 000000000..8b0b8a7e7
--- /dev/null
+++ b/newlib/libm/common/sf_log.c
@@ -0,0 +1,98 @@
+/* Single-precision log function.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include <math.h>
+#include <stdint.h>
+#include "math_config.h"
+
+/*
+LOGF_TABLE_BITS = 4
+LOGF_POLY_ORDER = 4
+
+ULP error: 0.818 (nearest rounding.)
+Relative error: 1.957 * 2^-26 (before rounding.)
+*/
+
+#define T __logf_data.tab
+#define A __logf_data.poly
+#define Ln2 __logf_data.ln2
+#define N (1 << LOGF_TABLE_BITS)
+#define OFF 0x3f330000
+
+float
+logf (float x)
+{
+  /* double_t for better performance on targets with FLT_EVAL_METHOD==2.  */
+  double_t z, r, r2, y, y0, invc, logc;
+  uint32_t ix, iz, tmp;
+  int k, i;
+
+  ix = asuint (x);
+#if WANT_ROUNDING
+  /* Fix sign of zero with downward rounding when x==1.  */
+  if (__builtin_expect (ix == 0x3f800000, 0))
+    return 0;
+#endif
+  if (__builtin_expect (ix - 0x00800000 >= 0x7f800000 - 0x00800000, 0))
+    {
+      /* x < 0x1p-126 or inf or nan.  */
+      if (ix * 2 == 0)
+	return __math_divzerof (1);
+      if (ix == 0x7f800000) /* log(inf) == inf.  */
+	return x;
+      if ((ix & 0x80000000) || ix * 2 >= 0xff000000)
+	return __math_invalidf (x);
+      /* x is subnormal, normalize it.  */
+      ix = asuint (x * 0x1p23f);
+      ix -= 23 << 23;
+    }
+
+  /* x = 2^k z; where z is in range [OFF,2*OFF] and exact.
+     The range is split into N subintervals.
+     The ith subinterval contains z and c is near its center.  */
+  tmp = ix - OFF;
+  i = (tmp >> (23 - LOGF_TABLE_BITS)) % N;
+  k = (int32_t) tmp >> 23; /* arithmetic shift */
+  iz = ix - (tmp & 0x1ff << 23);
+  invc = T[i].invc;
+  logc = T[i].logc;
+  z = (double_t) asfloat (iz);
+
+  /* log(x) = log1p(z/c-1) + log(c) + k*Ln2 */
+  r = z * invc - 1;
+  y0 = logc + (double_t) k * Ln2;
+
+  /* Pipelined polynomial evaluation to approximate log1p(r).  */
+  r2 = r * r;
+  y = A[1] * r + A[2];
+  y = A[0] * r2 + y;
+  y = y * r2 + (y0 + r);
+  return (float) y;
+}
+#endif
diff --git a/newlib/libm/common/sf_log2.c b/newlib/libm/common/sf_log2.c
index 9fbaaca72..caa8f51b1 100644
--- a/newlib/libm/common/sf_log2.c
+++ b/newlib/libm/common/sf_log2.c
@@ -1,48 +1,99 @@
-/* sf_log2.c -- float version of s_log2.c.
- * Modification of sf_exp10.c by Yaakov Selkowitz 2009.
- */
+/* Single-precision log2 function.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
 
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
- * is preserved.
- * ====================================================
- */
-
-/* 
- * wrapper log2f(x)
- */
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
 
 #include "fdlibm.h"
-#include <errno.h>
+#ifndef OBSOLETE_MATH
+
 #include <math.h>
-#undef log2
-#undef log2f
-
-#ifdef __STDC__
-	float log2f(float x)		/* wrapper log2f */
-#else
-	float log2f(x)			/* wrapper log2f */
-	float x;
-#endif
-{
-  return (logf(x) / (float_t) M_LN2);
-}
+#include <stdint.h>
+#include "math_config.h"
+
+/*
+LOG2F_TABLE_BITS = 4
+LOG2F_POLY_ORDER = 4
 
-#ifdef _DOUBLE_IS_32BITS
+ULP error: 0.752 (nearest rounding.)
+Relative error: 1.9 * 2^-26 (before rounding.)
+*/
 
-#ifdef __STDC__
-	double log2(double x)
-#else
-	double log2(x)
-	double x;
-#endif
+#define N (1 << LOG2F_TABLE_BITS)
+#define T __log2f_data.tab
+#define A __log2f_data.poly
+#define OFF 0x3f330000
+
+float
+log2f (float x)
 {
-	return (double) log2f((float) x);
-}
+  /* double_t for better performance on targets with FLT_EVAL_METHOD==2.  */
+  double_t z, r, r2, p, y, y0, invc, logc;
+  uint32_t ix, iz, top, tmp;
+  int k, i;
+
+  ix = asuint (x);
+#if WANT_ROUNDING
+  /* Fix sign of zero with downward rounding when x==1.  */
+  if (__builtin_expect (ix == 0x3f800000, 0))
+    return 0;
+#endif
+  if (__builtin_expect (ix - 0x00800000 >= 0x7f800000 - 0x00800000, 0))
+    {
+      /* x < 0x1p-126 or inf or nan.  */
+      if (ix * 2 == 0)
+	return __math_divzerof (1);
+      if (ix == 0x7f800000) /* log2(inf) == inf.  */
+	return x;
+      if ((ix & 0x80000000) || ix * 2 >= 0xff000000)
+	return __math_invalidf (x);
+      /* x is subnormal, normalize it.  */
+      ix = asuint (x * 0x1p23f);
+      ix -= 23 << 23;
+    }
 
-#endif /* defined(_DOUBLE_IS_32BITS) */
+  /* x = 2^k z; where z is in range [OFF,2*OFF] and exact.
+     The range is split into N subintervals.
+     The ith subinterval contains z and c is near its center.  */
+  tmp = ix - OFF;
+  i = (tmp >> (23 - LOG2F_TABLE_BITS)) % N;
+  top = tmp & 0xff800000;
+  iz = ix - top;
+  k = (int32_t) tmp >> 23; /* arithmetic shift */
+  invc = T[i].invc;
+  logc = T[i].logc;
+  z = (double_t) asfloat (iz);
+
+  /* log2(x) = log1p(z/c-1)/ln2 + log2(c) + k */
+  r = z * invc - 1;
+  y0 = logc + (double_t) k;
+
+  /* Pipelined polynomial evaluation to approximate log1p(r)/ln2.  */
+  r2 = r * r;
+  y = A[1] * r + A[2];
+  y = A[0] * r2 + y;
+  p = A[3] * r + y0;
+  y = y * r2 + p;
+  return (float) y;
+}
+#endif
diff --git a/newlib/libm/common/sf_log2_data.c b/newlib/libm/common/sf_log2_data.c
new file mode 100644
index 000000000..844c93633
--- /dev/null
+++ b/newlib/libm/common/sf_log2_data.c
@@ -0,0 +1,56 @@
+/* Data definition for log2f.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include "math_config.h"
+
+const struct log2f_data __log2f_data = {
+  .tab = {
+  { 0x1.661ec79f8f3bep+0, -0x1.efec65b963019p-2 },
+  { 0x1.571ed4aaf883dp+0, -0x1.b0b6832d4fca4p-2 },
+  { 0x1.49539f0f010bp+0, -0x1.7418b0a1fb77bp-2 },
+  { 0x1.3c995b0b80385p+0, -0x1.39de91a6dcf7bp-2 },
+  { 0x1.30d190c8864a5p+0, -0x1.01d9bf3f2b631p-2 },
+  { 0x1.25e227b0b8eap+0, -0x1.97c1d1b3b7afp-3 },
+  { 0x1.1bb4a4a1a343fp+0, -0x1.2f9e393af3c9fp-3 },
+  { 0x1.12358f08ae5bap+0, -0x1.960cbbf788d5cp-4 },
+  { 0x1.0953f419900a7p+0, -0x1.a6f9db6475fcep-5 },
+  { 0x1p+0, 0x0p+0 },
+  { 0x1.e608cfd9a47acp-1, 0x1.338ca9f24f53dp-4 },
+  { 0x1.ca4b31f026aap-1, 0x1.476a9543891bap-3 },
+  { 0x1.b2036576afce6p-1, 0x1.e840b4ac4e4d2p-3 },
+  { 0x1.9c2d163a1aa2dp-1, 0x1.40645f0c6651cp-2 },
+  { 0x1.886e6037841edp-1, 0x1.88e9c2c1b9ff8p-2 },
+  { 0x1.767dcf5534862p-1, 0x1.ce0a44eb17bccp-2 },
+  },
+  .poly = {
+  -0x1.712b6f70a7e4dp-2, 0x1.ecabf496832ep-2, -0x1.715479ffae3dep-1,
+  0x1.715475f35c8b8p0,
+  }
+};
+#endif
diff --git a/newlib/libm/common/sf_log_data.c b/newlib/libm/common/sf_log_data.c
new file mode 100644
index 000000000..e00226aff
--- /dev/null
+++ b/newlib/libm/common/sf_log_data.c
@@ -0,0 +1,56 @@
+/* Data definition for logf.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include "math_config.h"
+
+const struct logf_data __logf_data = {
+  .tab = {
+  { 0x1.661ec79f8f3bep+0, -0x1.57bf7808caadep-2 },
+  { 0x1.571ed4aaf883dp+0, -0x1.2bef0a7c06ddbp-2 },
+  { 0x1.49539f0f010bp+0, -0x1.01eae7f513a67p-2 },
+  { 0x1.3c995b0b80385p+0, -0x1.b31d8a68224e9p-3 },
+  { 0x1.30d190c8864a5p+0, -0x1.6574f0ac07758p-3 },
+  { 0x1.25e227b0b8eap+0, -0x1.1aa2bc79c81p-3 },
+  { 0x1.1bb4a4a1a343fp+0, -0x1.a4e76ce8c0e5ep-4 },
+  { 0x1.12358f08ae5bap+0, -0x1.1973c5a611cccp-4 },
+  { 0x1.0953f419900a7p+0, -0x1.252f438e10c1ep-5 },
+  { 0x1p+0, 0x0p+0 },
+  { 0x1.e608cfd9a47acp-1, 0x1.aa5aa5df25984p-5 },
+  { 0x1.ca4b31f026aap-1, 0x1.c5e53aa362eb4p-4 },
+  { 0x1.b2036576afce6p-1, 0x1.526e57720db08p-3 },
+  { 0x1.9c2d163a1aa2dp-1, 0x1.bc2860d22477p-3 },
+  { 0x1.886e6037841edp-1, 0x1.1058bc8a07ee1p-2 },
+  { 0x1.767dcf5534862p-1, 0x1.4043057b6ee09p-2 },
+  },
+  .ln2 = 0x1.62e42fefa39efp-1,
+  .poly = {
+  -0x1.00ea348b88334p-2, 0x1.5575b0be00b6ap-2, -0x1.ffffef20a4123p-2,
+  }
+};
+#endif
diff --git a/newlib/libm/common/sf_pow.c b/newlib/libm/common/sf_pow.c
new file mode 100644
index 000000000..51d2069be
--- /dev/null
+++ b/newlib/libm/common/sf_pow.c
@@ -0,0 +1,230 @@
+/* Single-precision pow function.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include <math.h>
+#include <stdint.h>
+#include "math_config.h"
+
+/*
+POWF_LOG2_POLY_ORDER = 5
+EXP2F_TABLE_BITS = 5
+
+ULP error: 0.82 (~ 0.5 + relerr*2^24)
+relerr: 1.27 * 2^-26 (Relative error ~= 128*Ln2*relerr_log2 + relerr_exp2)
+relerr_log2: 1.83 * 2^-33 (Relative error of logx.)
+relerr_exp2: 1.69 * 2^-34 (Relative error of exp2(ylogx).)
+*/
+
+#define N (1 << POWF_LOG2_TABLE_BITS)
+#define T __powf_log2_data.tab
+#define A __powf_log2_data.poly
+#define OFF 0x3f330000
+
+/* Subnormal input is normalized so ix has negative biased exponent.
+   Output is multiplied by N (POWF_SCALE) if TOINT_INTRINICS is set.  */
+static inline double_t
+log2_inline (uint32_t ix)
+{
+  /* double_t for better performance on targets with FLT_EVAL_METHOD==2.  */
+  double_t z, r, r2, r4, p, q, y, y0, invc, logc;
+  uint32_t iz, top, tmp;
+  int k, i;
+
+  /* x = 2^k z; where z is in range [OFF,2*OFF] and exact.
+     The range is split into N subintervals.
+     The ith subinterval contains z and c is near its center.  */
+  tmp = ix - OFF;
+  i = (tmp >> (23 - POWF_LOG2_TABLE_BITS)) % N;
+  top = tmp & 0xff800000;
+  iz = ix - top;
+  k = (int32_t) top >> (23 - POWF_SCALE_BITS); /* arithmetic shift */
+  invc = T[i].invc;
+  logc = T[i].logc;
+  z = (double_t) asfloat (iz);
+
+  /* log2(x) = log1p(z/c-1)/ln2 + log2(c) + k */
+  r = z * invc - 1;
+  y0 = logc + (double_t) k;
+
+  /* Pipelined polynomial evaluation to approximate log1p(r)/ln2.  */
+  r2 = r * r;
+  y = A[0] * r + A[1];
+  p = A[2] * r + A[3];
+  r4 = r2 * r2;
+  q = A[4] * r + y0;
+  q = p * r2 + q;
+  y = y * r4 + q;
+  return y;
+}
+
+#undef N
+#undef T
+#define N (1 << EXP2F_TABLE_BITS)
+#define T __exp2f_data.tab
+#define SIGN_BIAS (1 << (EXP2F_TABLE_BITS + 11))
+
+/* The output of log2 and thus the input of exp2 is either scaled by N
+   (in case of fast toint intrinsics) or not.  The unscaled xd must be
+   in [-1021,1023], sign_bias sets the sign of the result.  */
+static inline double_t
+exp2_inline (double_t xd, unsigned long sign_bias)
+{
+  uint64_t ki, ski, t;
+  /* double_t for better performance on targets with FLT_EVAL_METHOD==2.  */
+  double_t kd, z, r, r2, y, s;
+
+#if TOINT_INTRINSICS
+# define C __exp2f_data.poly_scaled
+  /* N*x = k + r with r in [-1/2, 1/2] */
+  kd = roundtoint (xd); /* k */
+  ki = converttoint (xd);
+#else
+# define C __exp2f_data.poly
+# define SHIFT __exp2f_data.shift_scaled
+  /* x = k/N + r with r in [-1/(2N), 1/(2N)] */
+  kd = (double) (xd + SHIFT); /* Rounding to double precision is required.  */
+  ki = asuint64 (kd);
+  kd -= SHIFT; /* k/N */
+#endif
+  r = xd - kd;
+
+  /* exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
+  t = T[ki % N];
+  ski = ki + sign_bias;
+  t += ski << (52 - EXP2F_TABLE_BITS);
+  s = asdouble (t);
+  z = C[0] * r + C[1];
+  r2 = r * r;
+  y = C[2] * r + 1;
+  y = z * r2 + y;
+  y = y * s;
+  return y;
+}
+
+/* Returns 0 if not int, 1 if odd int, 2 if even int.  */
+static inline int
+checkint (uint32_t iy)
+{
+  int e = iy >> 23 & 0xff;
+  if (e < 0x7f)
+    return 0;
+  if (e > 0x7f + 23)
+    return 2;
+  if (iy & ((1 << (0x7f + 23 - e)) - 1))
+    return 0;
+  if (iy & (1 << (0x7f + 23 - e)))
+    return 1;
+  return 2;
+}
+
+static inline int
+zeroinfnan (uint32_t ix)
+{
+  return 2 * ix - 1 >= 2u * 0x7f800000 - 1;
+}
+
+float
+powf (float x, float y)
+{
+  unsigned long sign_bias = 0;
+  uint32_t ix, iy;
+
+  ix = asuint (x);
+  iy = asuint (y);
+  if (__builtin_expect (ix - 0x00800000 >= 0x7f800000 - 0x00800000
+			  || zeroinfnan (iy),
+			0))
+    {
+      /* Either (x < 0x1p-126 or inf or nan) or (y is 0 or inf or nan).  */
+      if (__builtin_expect (zeroinfnan (iy), 0))
+	{
+	  if (2 * iy == 0)
+	    return ieee_2008_issignaling (x) ? x + y : 1.0f;
+	  if (ix == 0x3f800000)
+	    return ieee_2008_issignaling (y) ? x + y : 1.0f;
+	  if (2 * ix > 2u * 0x7f800000 || 2 * iy > 2u * 0x7f800000)
+	    return x + y;
+	  if (2 * ix == 2 * 0x3f800000)
+	    return 1.0f;
+	  if ((2 * ix < 2 * 0x3f800000) == !(iy & 0x80000000))
+	    return 0.0f; /* |x|<1 && y==inf or |x|>1 && y==-inf.  */
+	  return y * y;
+	}
+      if (__builtin_expect (zeroinfnan (ix), 0))
+	{
+	  float_t x2 = x * x;
+	  if (ix & 0x80000000 && checkint (iy) == 1)
+	    {
+	      x2 = -x2;
+	      sign_bias = 1;
+	    }
+#if WANT_ERRNO
+	  if (2 * ix == 0 && iy & 0x80000000)
+	    return __math_divzerof (sign_bias);
+#endif
+	  return iy & 0x80000000 ? 1 / x2 : x2;
+	}
+      /* x and y are non-zero finite.  */
+      if (ix & 0x80000000)
+	{
+	  /* Finite x < 0.  */
+	  int yint = checkint (iy);
+	  if (yint == 0)
+	    return __math_invalidf (x);
+	  if (yint == 1)
+	    sign_bias = SIGN_BIAS;
+	  ix &= 0x7fffffff;
+	}
+      if (ix < 0x00800000)
+	{
+	  /* Normalize subnormal x so exponent becomes negative.  */
+	  ix = asuint (x * 0x1p23f);
+	  ix &= 0x7fffffff;
+	  ix -= 23 << 23;
+	}
+    }
+  double_t logx = log2_inline (ix);
+  double_t ylogx = y * logx; /* Note: cannot overflow, y is single prec.  */
+  if (__builtin_expect ((asuint64 (ylogx) >> 47 & 0xffff)
+			  >= asuint64 (126.0 * POWF_SCALE) >> 47,
+			0))
+    {
+      /* |y*log(x)| >= 126.  */
+      if (ylogx > 0x1.fffffffd1d571p+6 * POWF_SCALE)
+	return __math_oflowf (sign_bias);
+      if (ylogx <= -150.0 * POWF_SCALE)
+	return __math_uflowf (sign_bias);
+#if WANT_ERRNO_UFLOW
+      if (ylogx < -149.0 * POWF_SCALE)
+	return __math_may_uflowf (sign_bias);
+#endif
+    }
+  return (float) exp2_inline (ylogx, sign_bias);
+}
+#endif
diff --git a/newlib/libm/common/sf_pow_log2_data.c b/newlib/libm/common/sf_pow_log2_data.c
new file mode 100644
index 000000000..6467976e0
--- /dev/null
+++ b/newlib/libm/common/sf_pow_log2_data.c
@@ -0,0 +1,57 @@
+/* Data definition for powf.
+   Copyright (c) 2017 ARM Ltd.  All rights reserved.
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+   3. The name of the company may not be used to endorse or promote
+      products derived from this software without specific prior written
+      permission.
+
+   THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
+   WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+   MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+   IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+   SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+   TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+#include "fdlibm.h"
+#ifndef OBSOLETE_MATH
+
+#include "math_config.h"
+
+const struct powf_log2_data __powf_log2_data = {
+  .tab = {
+  { 0x1.661ec79f8f3bep+0, -0x1.efec65b963019p-2 * POWF_SCALE },
+  { 0x1.571ed4aaf883dp+0, -0x1.b0b6832d4fca4p-2 * POWF_SCALE },
+  { 0x1.49539f0f010bp+0, -0x1.7418b0a1fb77bp-2 * POWF_SCALE },
+  { 0x1.3c995b0b80385p+0, -0x1.39de91a6dcf7bp-2 * POWF_SCALE },
+  { 0x1.30d190c8864a5p+0, -0x1.01d9bf3f2b631p-2 * POWF_SCALE },
+  { 0x1.25e227b0b8eap+0, -0x1.97c1d1b3b7afp-3 * POWF_SCALE },
+  { 0x1.1bb4a4a1a343fp+0, -0x1.2f9e393af3c9fp-3 * POWF_SCALE },
+  { 0x1.12358f08ae5bap+0, -0x1.960cbbf788d5cp-4 * POWF_SCALE },
+  { 0x1.0953f419900a7p+0, -0x1.a6f9db6475fcep-5 * POWF_SCALE },
+  { 0x1p+0, 0x0p+0 * POWF_SCALE },
+  { 0x1.e608cfd9a47acp-1, 0x1.338ca9f24f53dp-4 * POWF_SCALE },
+  { 0x1.ca4b31f026aap-1, 0x1.476a9543891bap-3 * POWF_SCALE },
+  { 0x1.b2036576afce6p-1, 0x1.e840b4ac4e4d2p-3 * POWF_SCALE },
+  { 0x1.9c2d163a1aa2dp-1, 0x1.40645f0c6651cp-2 * POWF_SCALE },
+  { 0x1.886e6037841edp-1, 0x1.88e9c2c1b9ff8p-2 * POWF_SCALE },
+  { 0x1.767dcf5534862p-1, 0x1.ce0a44eb17bccp-2 * POWF_SCALE },
+  },
+  .poly = {
+  0x1.27616c9496e0bp-2 * POWF_SCALE, -0x1.71969a075c67ap-2 * POWF_SCALE,
+  0x1.ec70a6ca7baddp-2 * POWF_SCALE, -0x1.7154748bef6c8p-1 * POWF_SCALE,
+  0x1.71547652ab82bp0 * POWF_SCALE,
+  }
+};
+#endif
diff --git a/newlib/libm/math/Makefile.am b/newlib/libm/math/Makefile.am
index 9e8e92840..e745159ae 100644
--- a/newlib/libm/math/Makefile.am
+++ b/newlib/libm/math/Makefile.am
@@ -48,7 +48,8 @@ fsrc =	kf_rem_pio2.c \
 	sf_frexp.c sf_ldexp.c \
 	sf_signif.c sf_sin.c \
 	sf_tan.c sf_tanh.c \
-	wf_exp2.c wf_tgamma.c
+	wf_exp2.c wf_tgamma.c \
+	wf_log2.c
 
 lsrc = el_hypot.c
 
diff --git a/newlib/libm/math/Makefile.in b/newlib/libm/math/Makefile.in
index 8f76aad4e..1f5a69406 100644
--- a/newlib/libm/math/Makefile.in
+++ b/newlib/libm/math/Makefile.in
@@ -137,7 +137,8 @@ am__objects_2 = lib_a-kf_rem_pio2.$(OBJEXT) lib_a-kf_cos.$(OBJEXT) \
 	lib_a-sf_frexp.$(OBJEXT) lib_a-sf_ldexp.$(OBJEXT) \
 	lib_a-sf_signif.$(OBJEXT) lib_a-sf_sin.$(OBJEXT) \
 	lib_a-sf_tan.$(OBJEXT) lib_a-sf_tanh.$(OBJEXT) \
-	lib_a-wf_exp2.$(OBJEXT) lib_a-wf_tgamma.$(OBJEXT)
+	lib_a-wf_exp2.$(OBJEXT) lib_a-wf_tgamma.$(OBJEXT) \
+	lib_a-wf_log2.$(OBJEXT)
 am__objects_3 = lib_a-el_hypot.$(OBJEXT)
 @USE_LIBTOOL_FALSE@am_lib_a_OBJECTS = $(am__objects_1) \
 @USE_LIBTOOL_FALSE@	$(am__objects_2) $(am__objects_3)
@@ -169,7 +170,7 @@ am__objects_5 = kf_rem_pio2.lo kf_cos.lo kf_sin.lo kf_tan.lo \
 	wf_sincos.lo wf_drem.lo sf_asinh.lo sf_atan.lo sf_ceil.lo \
 	sf_cos.lo sf_erf.lo sf_fabs.lo sf_floor.lo sf_frexp.lo \
 	sf_ldexp.lo sf_signif.lo sf_sin.lo sf_tan.lo sf_tanh.lo \
-	wf_exp2.lo wf_tgamma.lo
+	wf_exp2.lo wf_tgamma.lo wf_log2.lo
 am__objects_6 = el_hypot.lo
 @USE_LIBTOOL_TRUE@am_libmath_la_OBJECTS = $(am__objects_4) \
 @USE_LIBTOOL_TRUE@	$(am__objects_5) $(am__objects_6)
@@ -372,7 +373,8 @@ fsrc = kf_rem_pio2.c \
 	sf_frexp.c sf_ldexp.c \
 	sf_signif.c sf_sin.c \
 	sf_tan.c sf_tanh.c \
-	wf_exp2.c wf_tgamma.c
+	wf_exp2.c wf_tgamma.c \
+	wf_log2.c
 
 lsrc = el_hypot.c
 libmath_la_LDFLAGS = -Xcompiler -nostdlib
@@ -1270,6 +1272,12 @@ lib_a-wf_tgamma.o: wf_tgamma.c
 lib_a-wf_tgamma.obj: wf_tgamma.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-wf_tgamma.obj `if test -f 'wf_tgamma.c'; then $(CYGPATH_W) 'wf_tgamma.c'; else $(CYGPATH_W) '$(srcdir)/wf_tgamma.c'; fi`
 
+lib_a-wf_log2.o: wf_log2.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-wf_log2.o `test -f 'wf_log2.c' || echo '$(srcdir)/'`wf_log2.c
+
+lib_a-wf_log2.obj: wf_log2.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-wf_log2.obj `if test -f 'wf_log2.c'; then $(CYGPATH_W) 'wf_log2.c'; else $(CYGPATH_W) '$(srcdir)/wf_log2.c'; fi`
+
 lib_a-el_hypot.o: el_hypot.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-el_hypot.o `test -f 'el_hypot.c' || echo '$(srcdir)/'`el_hypot.c
 
diff --git a/newlib/libm/math/ef_exp.c b/newlib/libm/math/ef_exp.c
index 6824f991a..4f8585145 100644
--- a/newlib/libm/math/ef_exp.c
+++ b/newlib/libm/math/ef_exp.c
@@ -15,6 +15,7 @@
 
 #include "fdlibm.h"
 
+#ifdef OBSOLETE_MATH
 #ifdef __v810__
 #define const
 #endif
@@ -97,3 +98,4 @@ P5   =  4.1381369442e-08; /* 0x3331bb4c */
 	    return y*twom100;
 	}
 }
+#endif
diff --git a/newlib/libm/math/ef_log.c b/newlib/libm/math/ef_log.c
index 619fe9090..c86e63529 100644
--- a/newlib/libm/math/ef_log.c
+++ b/newlib/libm/math/ef_log.c
@@ -15,6 +15,7 @@
 
 #include "fdlibm.h"
 
+#ifdef OBSOLETE_MATH
 #ifdef __STDC__
 static const float
 #else
@@ -90,3 +91,4 @@ static float zero   =  0.0;
 		     return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
 	}
 }
+#endif
diff --git a/newlib/libm/math/ef_pow.c b/newlib/libm/math/ef_pow.c
index b3041dbdc..ae84d7616 100644
--- a/newlib/libm/math/ef_pow.c
+++ b/newlib/libm/math/ef_pow.c
@@ -15,6 +15,7 @@
 
 #include "fdlibm.h"
 
+#ifdef OBSOLETE_MATH
 #ifdef __v810__
 #define const 
 #endif
@@ -253,3 +254,4 @@ ivln2_l  =  7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
 	else SET_FLOAT_WORD(z,j);
 	return s*z;
 }
+#endif
diff --git a/newlib/libm/math/wf_exp.c b/newlib/libm/math/wf_exp.c
index 70f4459b4..7d41f721a 100644
--- a/newlib/libm/math/wf_exp.c
+++ b/newlib/libm/math/wf_exp.c
@@ -18,6 +18,7 @@
  */
 
 #include "fdlibm.h"
+#ifdef OBSOLETE_MATH
 #include <errno.h>
 
 #ifdef __STDC__
@@ -101,3 +102,4 @@ u_threshold= -1.0397208405e+02;  /* 0xc2cff1b5 */
 }
 
 #endif /* defined(_DOUBLE_IS_32BITS) */
+#endif
diff --git a/newlib/libm/math/wf_exp2.c b/newlib/libm/math/wf_exp2.c
index 944031405..f635cef0c 100644
--- a/newlib/libm/math/wf_exp2.c
+++ b/newlib/libm/math/wf_exp2.c
@@ -18,6 +18,7 @@
  */
 
 #include "fdlibm.h"
+#ifdef OBSOLETE_MATH
 #include <errno.h>
 #include <math.h>
 
@@ -44,3 +45,4 @@
 }
 
 #endif /* defined(_DOUBLE_IS_32BITS) */
+#endif
diff --git a/newlib/libm/math/wf_log.c b/newlib/libm/math/wf_log.c
index 4518b863b..2d6f6550d 100644
--- a/newlib/libm/math/wf_log.c
+++ b/newlib/libm/math/wf_log.c
@@ -18,6 +18,7 @@
  */
 
 #include "fdlibm.h"
+#ifdef OBSOLETE_MATH
 #include <errno.h>
 
 #ifdef __STDC__
@@ -84,3 +85,4 @@
 }
 
 #endif /* defined(_DOUBLE_IS_32BITS) */
+#endif
diff --git a/newlib/libm/math/wf_log2.c b/newlib/libm/math/wf_log2.c
new file mode 100644
index 000000000..1f8323ae4
--- /dev/null
+++ b/newlib/libm/math/wf_log2.c
@@ -0,0 +1,50 @@
+/* wf_log2.c -- float version of s_log2.c.
+ * Modification of sf_exp10.c by Yaakov Selkowitz 2009.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+/* 
+ * wrapper log2f(x)
+ */
+
+#include "fdlibm.h"
+#ifdef OBSOLETE_MATH
+#include <errno.h>
+#include <math.h>
+#undef log2
+#undef log2f
+
+#ifdef __STDC__
+	float log2f(float x)		/* wrapper log2f */
+#else
+	float log2f(x)			/* wrapper log2f */
+	float x;
+#endif
+{
+  return (logf(x) / (float_t) M_LN2);
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double log2(double x)
+#else
+	double log2(x)
+	double x;
+#endif
+{
+	return (double) log2f((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
+#endif
diff --git a/newlib/libm/math/wf_pow.c b/newlib/libm/math/wf_pow.c
index a30f8808e..dde074804 100644
--- a/newlib/libm/math/wf_pow.c
+++ b/newlib/libm/math/wf_pow.c
@@ -18,6 +18,7 @@
  */
 
 #include "fdlibm.h"
+#ifdef OBSOLETE_MATH
 #include <errno.h>
 
 #ifdef __STDC__
@@ -177,3 +178,4 @@
 }
 
 #endif /* defined(_DOUBLE_IS_32BITS) */
+#endif

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