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From: Takashi Yano <takashi.yano@nifty.ne.jp>
To: newlib@sourceware.org
Subject: Re: gcc 11.1.0: printf("%.43f\n", 0x1.52f8a8e32e982p-140): printed value is incorrectly rounded
Date: Mon, 29 Nov 2021 19:56:46 +0900	[thread overview]
Message-ID: <20211129195646.c4f66449ff164a0c6bad4d2e@nifty.ne.jp> (raw)
In-Reply-To: <20211128221646.4c6f751029f31af953565702@nifty.ne.jp>

[-- Attachment #1: Type: text/plain, Size: 1854 bytes --]

On Sun, 28 Nov 2021 22:16:46 +0900
Takashi Yano wrote:
> On Sun, 28 Nov 2021 21:38:39 +0900
> Takashi Yano wrote:
> > On Sun, 28 Nov 2021 16:43:11 +0900
> > Takashi Yano wrote:
> > > On Thu, 4 Nov 2021 13:24:42 +0100
> > > Corinna Vinschen wrote:
> > > > However, a much better fix would be to switch to gdtoa, as the BSDs and
> > > > Mingw64 do.
> > > 
> > > I have tried to import gdtoa into newlib from OpenBSD.
> > > 
> > > gdtoa seems to use malloc much, so it may not work in some of
> > > platforms due to insufficient heap. Therefore, new ldtoa.c tries
> > > gdtoa first and fallbacks to legacy ldtoa if gdtoa fails.
> > > 
> > > To import gdtoa to newlib, I did:
> > > 1) Create "machine/ieee.h" which conditionally defines ieee_ext
> > >    structure and EXT_TO_ARRAY32() macro depend on architecture.
> > > 2) Create arith.h which reflects endian of architecture.
> > > 3) Merge gdtoa.h with OpenBSD's gdtoa.h. __BEGIN_HIDDEN_DECLS,
> > >    __END_HIDDEN_DECLS, PROTO_NORMAL() and DEF_STRONG() are
> > >    defined as dummy in this header.
> > > 4) Replace malloc()/free() with _malloc_r()/_free_r().
> > > 5) Implement ACQUIRE_DTOA_LOCK() and FREE_DTOA_LOCK() macros
> > >    using "sys/lock.h" for multi-threading environment.
> > > 6) Remove inclusion of "gd_qnan.h" which is not used.
> > > 
> > > Please see attached patch for more details.
> > > 
> > > I confirmed this works nicely with cygwin. Moreover, it is much
> > > faster than legacy ldtoa (more than 4 times faster).
> > > 
> > > However, this may break some other supported platforms.
> > > 
> > > Could anyone please check this?
> > 
> > Ah, in "machine/ieee.h", struct ieee_ext definition for
> > LDBL_MANT_DIG==64 and __IEEE_BIG_ENDIAN case, is obviously
> > wrong. 
> 
> Fixed.

Bit order for ARMEL without __VFP_FP__ is fixed.

-- 
Takashi Yano <takashi.yano@nifty.ne.jp>

[-- Attachment #2: 0001-ldtoa-Import-gdtoa-from-OpenBSD.patch --]
[-- Type: application/octet-stream, Size: 108934 bytes --]

From fbac77967d90ca0cea53bb3dc1fc8b715276d863 Mon Sep 17 00:00:00 2001
From: Takashi Yano <takashi.yano@nifty.ne.jp>
Date: Mon, 29 Nov 2021 17:45:53 +0900
Subject: [PATCH] ldtoa: Import gdtoa from OpenBSD.

---
 newlib/libc/include/machine/ieee.h | 121 ++++
 newlib/libc/stdlib/Makefile.am     |  14 +-
 newlib/libc/stdlib/Makefile.in     |  82 ++-
 newlib/libc/stdlib/arith.h         |   9 +
 newlib/libc/stdlib/gdtoa-dmisc.c   | 225 +++++++
 newlib/libc/stdlib/gdtoa-dtoa.c    | 839 ++++++++++++++++++++++++++
 newlib/libc/stdlib/gdtoa-gdtoa.c   | 830 ++++++++++++++++++++++++++
 newlib/libc/stdlib/gdtoa-gmisc.c   |  86 +++
 newlib/libc/stdlib/gdtoa-ldtoa.c   | 124 ++++
 newlib/libc/stdlib/gdtoa-misc.c    | 912 +++++++++++++++++++++++++++++
 newlib/libc/stdlib/gdtoa.h         | 132 ++++-
 newlib/libc/stdlib/gdtoaimp.h      | 672 +++++++++++++++++++++
 newlib/libc/stdlib/ldtoa.c         |   7 +
 13 files changed, 4019 insertions(+), 34 deletions(-)
 create mode 100644 newlib/libc/include/machine/ieee.h
 create mode 100644 newlib/libc/stdlib/arith.h
 create mode 100644 newlib/libc/stdlib/gdtoa-dmisc.c
 create mode 100644 newlib/libc/stdlib/gdtoa-dtoa.c
 create mode 100644 newlib/libc/stdlib/gdtoa-gdtoa.c
 create mode 100644 newlib/libc/stdlib/gdtoa-gmisc.c
 create mode 100644 newlib/libc/stdlib/gdtoa-ldtoa.c
 create mode 100644 newlib/libc/stdlib/gdtoa-misc.c
 create mode 100644 newlib/libc/stdlib/gdtoaimp.h

diff --git a/newlib/libc/include/machine/ieee.h b/newlib/libc/include/machine/ieee.h
new file mode 100644
index 000000000..b77682223
--- /dev/null
+++ b/newlib/libc/include/machine/ieee.h
@@ -0,0 +1,121 @@
+#ifndef _MACHINE_IEEE_H_
+#define _MACHINE_IEEE_H_
+#include <sys/types.h>
+#include <sys/cdefs.h>
+#include <machine/ieeefp.h>
+#include <float.h>
+
+#if LDBL_MANT_DIG == 24
+#define EXT_IMPLICIT_NBIT
+#define EXT_TO_ARRAY32(p, a) do {      \
+    (a)[0] = (p)->ext_frac;  \
+} while (0)
+#ifdef __IEEE_LITTLE_ENDIAN
+struct ieee_ext {
+    uint32_t   ext_frac:23;
+    uint32_t   ext_exp:8;
+    uint32_t   ext_sign:1;
+};
+#endif
+#ifdef __IEEE_BIG_ENDIAN
+struct ieee_ext {
+#ifndef ___IEEE_BYTES_LITTLE_ENDIAN
+    uint32_t   ext_sign:1;
+    uint32_t   ext_exp:8;
+    uint32_t   ext_frac:23;
+#else /* ARMEL without __VFP_FP__ */
+    uint32_t   ext_frac:23;
+    uint32_t   ext_exp:8;
+    uint32_t   ext_sign:1;
+#endif
+};
+#endif
+#elif LDBL_MANT_DIG == 53
+#define EXT_IMPLICIT_NBIT
+#define EXT_TO_ARRAY32(p, a) do {       \
+    (a)[0] = (p)->ext_fracl;  \
+    (a)[1] = (p)->ext_frach;  \
+} while (0)
+#ifdef __IEEE_LITTLE_ENDIAN
+struct ieee_ext {
+    uint32_t   ext_fracl;
+    uint32_t   ext_frach:20;
+    uint32_t   ext_exp:11;
+    uint32_t   ext_sign:1;
+};
+#endif
+#ifdef __IEEE_BIG_ENDIAN
+struct ieee_ext {
+#ifndef ___IEEE_BYTES_LITTLE_ENDIAN
+    uint32_t   ext_sign:1;
+    uint32_t   ext_exp:11;
+    uint32_t   ext_frach:20;
+#else /* ARMEL without __VFP_FP__ */
+    uint32_t   ext_frach:20;
+    uint32_t   ext_exp:11;
+    uint32_t   ext_sign:1;
+#endif
+    uint32_t   ext_fracl;
+};
+#endif
+#elif LDBL_MANT_DIG == 64
+#define EXT_TO_ARRAY32(p, a) do {       \
+    (a)[0] = (p)->ext_fracl;  \
+    (a)[1] = (p)->ext_frach;  \
+} while (0)
+#ifdef __IEEE_LITTLE_ENDIAN /* for Intel CPU */
+struct ieee_ext {
+    uint32_t   ext_fracl;
+    uint32_t   ext_frach;
+    uint32_t   ext_exp:15;
+    uint32_t   ext_sign:1;
+    uint32_t   ext_padl:16;
+    uint32_t   ext_padh;
+};
+#endif
+#ifdef __IEEE_BIG_ENDIAN /* for m68k */
+struct ieee_ext {
+    uint32_t   ext_sign:1;
+    uint32_t   ext_exp:15;
+    uint32_t   ext_pad:16;
+    uint32_t   ext_frach;
+    uint32_t   ext_fracl;
+};
+#endif
+#elif LDBL_MANT_DIG == 113
+#define EXT_IMPLICIT_NBIT
+#define EXT_TO_ARRAY32(p, a) do {        \
+    (a)[0] = (p)->ext_fracl;   \
+    (a)[1] = (p)->ext_fraclm;  \
+    (a)[2] = (p)->ext_frachm;  \
+    (a)[3] = (p)->ext_frach;   \
+} while (0)
+#ifdef __IEEE_LITTLE_ENDIAN
+struct ieee_ext {
+    uint32_t   ext_fracl;
+    uint32_t   ext_fraclm;
+    uint32_t   ext_frachm;
+    uint32_t   ext_frach:16;
+    uint32_t   ext_exp:15;
+    uint32_t   ext_sign:1;
+};
+#endif
+#ifdef __IEEE_BIG_ENDIAN
+struct ieee_ext {
+#ifndef ___IEEE_BYTES_LITTLE_ENDIAN
+    uint32_t   ext_sign:1;
+    uint32_t   ext_exp:15;
+    uint32_t   ext_frach:16;
+#else /* ARMEL without __VFP_FP__ */
+    uint32_t   ext_frach:16;
+    uint32_t   ext_exp:15;
+    uint32_t   ext_sign:1;
+#endif
+    uint32_t   ext_frachm;
+    uint32_t   ext_fraclm;
+    uint32_t   ext_fracl;
+};
+#endif
+#endif
+
+#endif /* _MACHINE_IEEE_H_ */
diff --git a/newlib/libc/stdlib/Makefile.am b/newlib/libc/stdlib/Makefile.am
index 357e37beb..04b22d477 100644
--- a/newlib/libc/stdlib/Makefile.am
+++ b/newlib/libc/stdlib/Makefile.am
@@ -38,6 +38,12 @@ GENERAL_SOURCES = \
 	labs.c 		\
 	ldiv.c  	\
 	ldtoa.c		\
+	gdtoa-ldtoa.c	\
+	gdtoa-gdtoa.c	\
+	gdtoa-dtoa.c	\
+	gdtoa-misc.c	\
+	gdtoa-dmisc.c	\
+	gdtoa-gmisc.c	\
 	malloc.c  	\
 	mblen.c		\
 	mblen_r.c	\
@@ -311,7 +317,13 @@ CHEWOUT_FILES= \
 CHAPTERS = stdlib.tex
 
 $(lpfx)dtoa.$(oext): dtoa.c mprec.h
-$(lpfx)ldtoa.$(oext): ldtoa.c mprec.h
+$(lpfx)ldtoa.$(oext): ldtoa.c mprec.h gdtoa.h
+$(lpfx)gdtoa-ldtoa.$(oext): gdtoa-ldtoa.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-gdtoa.$(oext): gdtoa-gdtoa.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-dtoa.$(oext): gdtoa-dtoa.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-misc.$(oext): gdtoa-misc.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-dmisc.$(oext): gdtoa-dmisc.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-gmisc.$(oext): gdtoa-gmisc.c gdtoaimp.h gdtoa.h arith.h
 $(lpfx)ecvtbuf.$(oext): ecvtbuf.c mprec.h
 $(lpfx)mbtowc_r.$(oext): mbtowc_r.c mbctype.h
 $(lpfx)mprec.$(oext): mprec.c mprec.h
diff --git a/newlib/libc/stdlib/Makefile.in b/newlib/libc/stdlib/Makefile.in
index a812b6a95..4e891ced9 100644
--- a/newlib/libc/stdlib/Makefile.in
+++ b/newlib/libc/stdlib/Makefile.in
@@ -101,7 +101,10 @@ am__objects_2 = lib_a-__adjust.$(OBJEXT) lib_a-__atexit.$(OBJEXT) \
 	lib_a-getenv_r.$(OBJEXT) lib_a-imaxabs.$(OBJEXT) \
 	lib_a-imaxdiv.$(OBJEXT) lib_a-itoa.$(OBJEXT) \
 	lib_a-labs.$(OBJEXT) lib_a-ldiv.$(OBJEXT) \
-	lib_a-ldtoa.$(OBJEXT) lib_a-malloc.$(OBJEXT) \
+	lib_a-ldtoa.$(OBJEXT) lib_a-gdtoa-ldtoa.$(OBJEXT) \
+	lib_a-gdtoa-gdtoa.$(OBJEXT) lib_a-gdtoa-dtoa.$(OBJEXT) \
+	lib_a-gdtoa-misc.$(OBJEXT) lib_a-gdtoa-dmisc.$(OBJEXT) \
+	lib_a-gdtoa-gmisc.$(OBJEXT) lib_a-malloc.$(OBJEXT) \
 	lib_a-mblen.$(OBJEXT) lib_a-mblen_r.$(OBJEXT) \
 	lib_a-mbstowcs.$(OBJEXT) lib_a-mbstowcs_r.$(OBJEXT) \
 	lib_a-mbtowc.$(OBJEXT) lib_a-mbtowc_r.$(OBJEXT) \
@@ -165,14 +168,15 @@ am__objects_9 = __adjust.lo __atexit.lo __call_atexit.lo __exp10.lo \
 	div.lo dtoa.lo dtoastub.lo environ.lo envlock.lo eprintf.lo \
 	exit.lo gdtoa-gethex.lo gdtoa-hexnan.lo getenv.lo getenv_r.lo \
 	imaxabs.lo imaxdiv.lo itoa.lo labs.lo ldiv.lo ldtoa.lo \
-	malloc.lo mblen.lo mblen_r.lo mbstowcs.lo mbstowcs_r.lo \
-	mbtowc.lo mbtowc_r.lo mlock.lo mprec.lo mstats.lo \
-	on_exit_args.lo quick_exit.lo rand.lo rand_r.lo random.lo \
-	realloc.lo reallocarray.lo reallocf.lo sb_charsets.lo \
-	strtod.lo strtoimax.lo strtol.lo strtoul.lo strtoumax.lo \
-	utoa.lo wcstod.lo wcstoimax.lo wcstol.lo wcstoul.lo \
-	wcstoumax.lo wcstombs.lo wcstombs_r.lo wctomb.lo wctomb_r.lo \
-	$(am__objects_8)
+	gdtoa-ldtoa.lo gdtoa-gdtoa.lo gdtoa-dtoa.lo gdtoa-misc.lo \
+	gdtoa-dmisc.lo gdtoa-gmisc.lo malloc.lo mblen.lo mblen_r.lo \
+	mbstowcs.lo mbstowcs_r.lo mbtowc.lo mbtowc_r.lo mlock.lo \
+	mprec.lo mstats.lo on_exit_args.lo quick_exit.lo rand.lo \
+	rand_r.lo random.lo realloc.lo reallocarray.lo reallocf.lo \
+	sb_charsets.lo strtod.lo strtoimax.lo strtol.lo strtoul.lo \
+	strtoumax.lo utoa.lo wcstod.lo wcstoimax.lo wcstol.lo \
+	wcstoul.lo wcstoumax.lo wcstombs.lo wcstombs_r.lo wctomb.lo \
+	wctomb_r.lo $(am__objects_8)
 am__objects_10 = arc4random.lo arc4random_uniform.lo cxa_atexit.lo \
 	cxa_finalize.lo drand48.lo ecvtbuf.lo efgcvt.lo erand48.lo \
 	jrand48.lo lcong48.lo lrand48.lo mrand48.lo msize.lo mtrim.lo \
@@ -354,6 +358,7 @@ pdfdir = @pdfdir@
 prefix = @prefix@
 program_transform_name = @program_transform_name@
 psdir = @psdir@
+runstatedir = @runstatedir@
 sbindir = @sbindir@
 shared_machine_dir = @shared_machine_dir@
 sharedstatedir = @sharedstatedir@
@@ -372,13 +377,14 @@ GENERAL_SOURCES = __adjust.c __atexit.c __call_atexit.c __exp10.c \
 	atexit.c atof.c atoff.c atoi.c atol.c calloc.c div.c dtoa.c \
 	dtoastub.c environ.c envlock.c eprintf.c exit.c gdtoa-gethex.c \
 	gdtoa-hexnan.c getenv.c getenv_r.c imaxabs.c imaxdiv.c itoa.c \
-	labs.c ldiv.c ldtoa.c malloc.c mblen.c mblen_r.c mbstowcs.c \
-	mbstowcs_r.c mbtowc.c mbtowc_r.c mlock.c mprec.c mstats.c \
-	on_exit_args.c quick_exit.c rand.c rand_r.c random.c realloc.c \
-	reallocarray.c reallocf.c sb_charsets.c strtod.c strtoimax.c \
-	strtol.c strtoul.c strtoumax.c utoa.c wcstod.c wcstoimax.c \
-	wcstol.c wcstoul.c wcstoumax.c wcstombs.c wcstombs_r.c \
-	wctomb.c wctomb_r.c $(am__append_1)
+	labs.c ldiv.c ldtoa.c gdtoa-ldtoa.c gdtoa-gdtoa.c gdtoa-dtoa.c \
+	gdtoa-misc.c gdtoa-dmisc.c gdtoa-gmisc.c malloc.c mblen.c \
+	mblen_r.c mbstowcs.c mbstowcs_r.c mbtowc.c mbtowc_r.c mlock.c \
+	mprec.c mstats.c on_exit_args.c quick_exit.c rand.c rand_r.c \
+	random.c realloc.c reallocarray.c reallocf.c sb_charsets.c \
+	strtod.c strtoimax.c strtol.c strtoul.c strtoumax.c utoa.c \
+	wcstod.c wcstoimax.c wcstol.c wcstoul.c wcstoumax.c wcstombs.c \
+	wcstombs_r.c wctomb.c wctomb_r.c $(am__append_1)
 @NEWLIB_NANO_MALLOC_FALSE@MALIGNR = malignr
 @NEWLIB_NANO_MALLOC_TRUE@MALIGNR = nano-malignr
 @NEWLIB_NANO_MALLOC_FALSE@MALLOPTR = malloptr
@@ -827,6 +833,42 @@ lib_a-ldtoa.o: ldtoa.c
 lib_a-ldtoa.obj: ldtoa.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-ldtoa.obj `if test -f 'ldtoa.c'; then $(CYGPATH_W) 'ldtoa.c'; else $(CYGPATH_W) '$(srcdir)/ldtoa.c'; fi`
 
+lib_a-gdtoa-ldtoa.o: gdtoa-ldtoa.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-ldtoa.o `test -f 'gdtoa-ldtoa.c' || echo '$(srcdir)/'`gdtoa-ldtoa.c
+
+lib_a-gdtoa-ldtoa.obj: gdtoa-ldtoa.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-ldtoa.obj `if test -f 'gdtoa-ldtoa.c'; then $(CYGPATH_W) 'gdtoa-ldtoa.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-ldtoa.c'; fi`
+
+lib_a-gdtoa-gdtoa.o: gdtoa-gdtoa.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-gdtoa.o `test -f 'gdtoa-gdtoa.c' || echo '$(srcdir)/'`gdtoa-gdtoa.c
+
+lib_a-gdtoa-gdtoa.obj: gdtoa-gdtoa.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-gdtoa.obj `if test -f 'gdtoa-gdtoa.c'; then $(CYGPATH_W) 'gdtoa-gdtoa.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-gdtoa.c'; fi`
+
+lib_a-gdtoa-dtoa.o: gdtoa-dtoa.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-dtoa.o `test -f 'gdtoa-dtoa.c' || echo '$(srcdir)/'`gdtoa-dtoa.c
+
+lib_a-gdtoa-dtoa.obj: gdtoa-dtoa.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-dtoa.obj `if test -f 'gdtoa-dtoa.c'; then $(CYGPATH_W) 'gdtoa-dtoa.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-dtoa.c'; fi`
+
+lib_a-gdtoa-misc.o: gdtoa-misc.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-misc.o `test -f 'gdtoa-misc.c' || echo '$(srcdir)/'`gdtoa-misc.c
+
+lib_a-gdtoa-misc.obj: gdtoa-misc.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-misc.obj `if test -f 'gdtoa-misc.c'; then $(CYGPATH_W) 'gdtoa-misc.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-misc.c'; fi`
+
+lib_a-gdtoa-dmisc.o: gdtoa-dmisc.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-dmisc.o `test -f 'gdtoa-dmisc.c' || echo '$(srcdir)/'`gdtoa-dmisc.c
+
+lib_a-gdtoa-dmisc.obj: gdtoa-dmisc.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-dmisc.obj `if test -f 'gdtoa-dmisc.c'; then $(CYGPATH_W) 'gdtoa-dmisc.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-dmisc.c'; fi`
+
+lib_a-gdtoa-gmisc.o: gdtoa-gmisc.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-gmisc.o `test -f 'gdtoa-gmisc.c' || echo '$(srcdir)/'`gdtoa-gmisc.c
+
+lib_a-gdtoa-gmisc.obj: gdtoa-gmisc.c
+	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-gmisc.obj `if test -f 'gdtoa-gmisc.c'; then $(CYGPATH_W) 'gdtoa-gmisc.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-gmisc.c'; fi`
+
 lib_a-malloc.o: malloc.c
 	$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-malloc.o `test -f 'malloc.c' || echo '$(srcdir)/'`malloc.c
 
@@ -1610,7 +1652,13 @@ $(lpfx)$(MALLOPTR).$(oext): $(MALLOCR).c
 	$(MALLOC_COMPILE) -DDEFINE_MALLOPT -c $(srcdir)/$(MALLOCR).c -o $@
 
 $(lpfx)dtoa.$(oext): dtoa.c mprec.h
-$(lpfx)ldtoa.$(oext): ldtoa.c mprec.h
+$(lpfx)ldtoa.$(oext): ldtoa.c mprec.h gdtoa.h
+$(lpfx)gdtoa-ldtoa.$(oext): gdtoa-ldtoa.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-gdtoa.$(oext): gdtoa-gdtoa.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-dtoa.$(oext): gdtoa-dtoa.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-misc.$(oext): gdtoa-misc.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-dmisc.$(oext): gdtoa-dmisc.c gdtoaimp.h gdtoa.h arith.h
+$(lpfx)gdtoa-gmisc.$(oext): gdtoa-gmisc.c gdtoaimp.h gdtoa.h arith.h
 $(lpfx)ecvtbuf.$(oext): ecvtbuf.c mprec.h
 $(lpfx)mbtowc_r.$(oext): mbtowc_r.c mbctype.h
 $(lpfx)mprec.$(oext): mprec.c mprec.h
diff --git a/newlib/libc/stdlib/arith.h b/newlib/libc/stdlib/arith.h
new file mode 100644
index 000000000..d3b84d867
--- /dev/null
+++ b/newlib/libc/stdlib/arith.h
@@ -0,0 +1,9 @@
+#include <machine/ieeefp.h>
+
+#ifdef __IEEE_LITTLE_ENDIAN
+#define IEEE_8087
+#endif
+
+#ifdef __IEEE_BIG_ENDIAN
+#define IEEE_MC68k
+#endif
diff --git a/newlib/libc/stdlib/gdtoa-dmisc.c b/newlib/libc/stdlib/gdtoa-dmisc.c
new file mode 100644
index 000000000..f3d8ea71a
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-dmisc.c
@@ -0,0 +1,225 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998 by Lucent Technologies
+All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and
+its documentation for any purpose and without fee is hereby
+granted, provided that the above copyright notice appear in all
+copies and that both that the copyright notice and this
+permission notice and warranty disclaimer appear in supporting
+documentation, and that the name of Lucent or any of its entities
+not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
+SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
+IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
+THIS SOFTWARE.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to ".").	*/
+
+#include "gdtoaimp.h"
+
+#ifndef MULTIPLE_THREADS
+ char *dtoa_result;
+#endif
+
+ char *
+#ifdef KR_headers
+rv_alloc(i) int i;
+#else
+rv_alloc(int i)
+#endif
+{
+	int j, k, *r;
+
+	j = sizeof(ULong);
+	for(k = 0;
+		sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
+		j <<= 1)
+			k++;
+	r = (int*)Balloc(k);
+	if (r == NULL)
+		return (
+#ifndef MULTIPLE_THREADS
+		dtoa_result =
+#endif
+			NULL);
+	*r = k;
+	return
+#ifndef MULTIPLE_THREADS
+	dtoa_result =
+#endif
+		(char *)(r+1);
+	}
+
+ char *
+#ifdef KR_headers
+nrv_alloc(s, rve, n) char *s, **rve; int n;
+#else
+nrv_alloc(char *s, char **rve, int n)
+#endif
+{
+	char *rv, *t;
+
+	t = rv = rv_alloc(n);
+	if (t == NULL)
+		return (NULL);
+	while((*t = *s++) !=0)
+		t++;
+	if (rve)
+		*rve = t;
+	return rv;
+	}
+
+/* freedtoa(s) must be used to free values s returned by dtoa
+ * when MULTIPLE_THREADS is #defined.  It should be used in all cases,
+ * but for consistency with earlier versions of dtoa, it is optional
+ * when MULTIPLE_THREADS is not defined.
+ */
+
+ void
+#ifdef KR_headers
+freedtoa(s) char *s;
+#else
+freedtoa(char *s)
+#endif
+{
+	Bigint *b = (Bigint *)((int *)s - 1);
+	b->maxwds = 1 << (b->k = *(int*)b);
+	Bfree(b);
+#ifndef MULTIPLE_THREADS
+	if (s == dtoa_result)
+		dtoa_result = 0;
+#endif
+	}
+DEF_STRONG(freedtoa);
+
+ int
+quorem
+#ifdef KR_headers
+	(b, S) Bigint *b, *S;
+#else
+	(Bigint *b, Bigint *S)
+#endif
+{
+	int n;
+	ULong *bx, *bxe, q, *sx, *sxe;
+#ifdef ULLong
+	ULLong borrow, carry, y, ys;
+#else
+	ULong borrow, carry, y, ys;
+#ifdef Pack_32
+	ULong si, z, zs;
+#endif
+#endif
+
+	n = S->wds;
+#ifdef DEBUG
+	/*debug*/ if (b->wds > n)
+	/*debug*/	Bug("oversize b in quorem");
+#endif
+	if (b->wds < n)
+		return 0;
+	sx = S->x;
+	sxe = sx + --n;
+	bx = b->x;
+	bxe = bx + n;
+	q = *bxe / (*sxe + 1);	/* ensure q <= true quotient */
+#ifdef DEBUG
+	/*debug*/ if (q > 9)
+	/*debug*/	Bug("oversized quotient in quorem");
+#endif
+	if (q) {
+		borrow = 0;
+		carry = 0;
+		do {
+#ifdef ULLong
+			ys = *sx++ * (ULLong)q + carry;
+			carry = ys >> 32;
+			y = *bx - (ys & 0xffffffffUL) - borrow;
+			borrow = y >> 32 & 1UL;
+			*bx++ = y & 0xffffffffUL;
+#else
+#ifdef Pack_32
+			si = *sx++;
+			ys = (si & 0xffff) * q + carry;
+			zs = (si >> 16) * q + (ys >> 16);
+			carry = zs >> 16;
+			y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
+			borrow = (y & 0x10000) >> 16;
+			z = (*bx >> 16) - (zs & 0xffff) - borrow;
+			borrow = (z & 0x10000) >> 16;
+			Storeinc(bx, z, y);
+#else
+			ys = *sx++ * q + carry;
+			carry = ys >> 16;
+			y = *bx - (ys & 0xffff) - borrow;
+			borrow = (y & 0x10000) >> 16;
+			*bx++ = y & 0xffff;
+#endif
+#endif
+			}
+			while(sx <= sxe);
+		if (!*bxe) {
+			bx = b->x;
+			while(--bxe > bx && !*bxe)
+				--n;
+			b->wds = n;
+			}
+		}
+	if (cmp(b, S) >= 0) {
+		q++;
+		borrow = 0;
+		carry = 0;
+		bx = b->x;
+		sx = S->x;
+		do {
+#ifdef ULLong
+			ys = *sx++ + carry;
+			carry = ys >> 32;
+			y = *bx - (ys & 0xffffffffUL) - borrow;
+			borrow = y >> 32 & 1UL;
+			*bx++ = y & 0xffffffffUL;
+#else
+#ifdef Pack_32
+			si = *sx++;
+			ys = (si & 0xffff) + carry;
+			zs = (si >> 16) + (ys >> 16);
+			carry = zs >> 16;
+			y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
+			borrow = (y & 0x10000) >> 16;
+			z = (*bx >> 16) - (zs & 0xffff) - borrow;
+			borrow = (z & 0x10000) >> 16;
+			Storeinc(bx, z, y);
+#else
+			ys = *sx++ + carry;
+			carry = ys >> 16;
+			y = *bx - (ys & 0xffff) - borrow;
+			borrow = (y & 0x10000) >> 16;
+			*bx++ = y & 0xffff;
+#endif
+#endif
+			}
+			while(sx <= sxe);
+		bx = b->x;
+		bxe = bx + n;
+		if (!*bxe) {
+			while(--bxe > bx && !*bxe)
+				--n;
+			b->wds = n;
+			}
+		}
+	return q;
+	}
diff --git a/newlib/libc/stdlib/gdtoa-dtoa.c b/newlib/libc/stdlib/gdtoa-dtoa.c
new file mode 100644
index 000000000..998192764
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-dtoa.c
@@ -0,0 +1,839 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998, 1999 by Lucent Technologies
+All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and
+its documentation for any purpose and without fee is hereby
+granted, provided that the above copyright notice appear in all
+copies and that both that the copyright notice and this
+permission notice and warranty disclaimer appear in supporting
+documentation, and that the name of Lucent or any of its entities
+not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
+SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
+IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
+THIS SOFTWARE.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to ".").	*/
+
+#include "gdtoaimp.h"
+
+/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
+ *
+ * Inspired by "How to Print Floating-Point Numbers Accurately" by
+ * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
+ *
+ * Modifications:
+ *	1. Rather than iterating, we use a simple numeric overestimate
+ *	   to determine k = floor(log10(d)).  We scale relevant
+ *	   quantities using O(log2(k)) rather than O(k) multiplications.
+ *	2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
+ *	   try to generate digits strictly left to right.  Instead, we
+ *	   compute with fewer bits and propagate the carry if necessary
+ *	   when rounding the final digit up.  This is often faster.
+ *	3. Under the assumption that input will be rounded nearest,
+ *	   mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
+ *	   That is, we allow equality in stopping tests when the
+ *	   round-nearest rule will give the same floating-point value
+ *	   as would satisfaction of the stopping test with strict
+ *	   inequality.
+ *	4. We remove common factors of powers of 2 from relevant
+ *	   quantities.
+ *	5. When converting floating-point integers less than 1e16,
+ *	   we use floating-point arithmetic rather than resorting
+ *	   to multiple-precision integers.
+ *	6. When asked to produce fewer than 15 digits, we first try
+ *	   to get by with floating-point arithmetic; we resort to
+ *	   multiple-precision integer arithmetic only if we cannot
+ *	   guarantee that the floating-point calculation has given
+ *	   the correctly rounded result.  For k requested digits and
+ *	   "uniformly" distributed input, the probability is
+ *	   something like 10^(k-15) that we must resort to the Long
+ *	   calculation.
+ */
+
+#ifdef Honor_FLT_ROUNDS
+#undef Check_FLT_ROUNDS
+#define Check_FLT_ROUNDS
+#else
+#define Rounding Flt_Rounds
+#endif
+
+ char *
+dtoa
+#ifdef KR_headers
+	(d0, mode, ndigits, decpt, sign, rve)
+	double d0; int mode, ndigits, *decpt, *sign; char **rve;
+#else
+	(double d0, int mode, int ndigits, int *decpt, int *sign, char **rve)
+#endif
+{
+ /*	Arguments ndigits, decpt, sign are similar to those
+	of ecvt and fcvt; trailing zeros are suppressed from
+	the returned string.  If not null, *rve is set to point
+	to the end of the return value.  If d is +-Infinity or NaN,
+	then *decpt is set to 9999.
+
+	mode:
+		0 ==> shortest string that yields d when read in
+			and rounded to nearest.
+		1 ==> like 0, but with Steele & White stopping rule;
+			e.g. with IEEE P754 arithmetic , mode 0 gives
+			1e23 whereas mode 1 gives 9.999999999999999e22.
+		2 ==> max(1,ndigits) significant digits.  This gives a
+			return value similar to that of ecvt, except
+			that trailing zeros are suppressed.
+		3 ==> through ndigits past the decimal point.  This
+			gives a return value similar to that from fcvt,
+			except that trailing zeros are suppressed, and
+			ndigits can be negative.
+		4,5 ==> similar to 2 and 3, respectively, but (in
+			round-nearest mode) with the tests of mode 0 to
+			possibly return a shorter string that rounds to d.
+			With IEEE arithmetic and compilation with
+			-DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
+			as modes 2 and 3 when FLT_ROUNDS != 1.
+		6-9 ==> Debugging modes similar to mode - 4:  don't try
+			fast floating-point estimate (if applicable).
+
+		Values of mode other than 0-9 are treated as mode 0.
+
+		Sufficient space is allocated to the return value
+		to hold the suppressed trailing zeros.
+	*/
+
+	int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
+		j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
+		spec_case, try_quick;
+	Long L;
+#ifndef Sudden_Underflow
+	int denorm;
+	ULong x;
+#endif
+	Bigint *b, *b1, *delta, *mlo, *mhi, *S;
+	U d, d2, eps;
+	double ds;
+	char *s, *s0;
+#ifdef SET_INEXACT
+	int inexact, oldinexact;
+#endif
+#ifdef Honor_FLT_ROUNDS /*{*/
+	int Rounding;
+#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
+	Rounding = Flt_Rounds;
+#else /*}{*/
+	Rounding = 1;
+	switch(fegetround()) {
+	  case FE_TOWARDZERO:	Rounding = 0; break;
+	  case FE_UPWARD:	Rounding = 2; break;
+	  case FE_DOWNWARD:	Rounding = 3;
+	  }
+#endif /*}}*/
+#endif /*}*/
+
+#ifndef MULTIPLE_THREADS
+	if (dtoa_result) {
+		freedtoa(dtoa_result);
+		dtoa_result = 0;
+		}
+#endif
+	d.d = d0;
+	if (word0(&d) & Sign_bit) {
+		/* set sign for everything, including 0's and NaNs */
+		*sign = 1;
+		word0(&d) &= ~Sign_bit;	/* clear sign bit */
+		}
+	else
+		*sign = 0;
+
+#if defined(IEEE_Arith) + defined(VAX)
+#ifdef IEEE_Arith
+	if ((word0(&d) & Exp_mask) == Exp_mask)
+#else
+	if (word0(&d)  == 0x8000)
+#endif
+		{
+		/* Infinity or NaN */
+		*decpt = 9999;
+#ifdef IEEE_Arith
+		if (!word1(&d) && !(word0(&d) & 0xfffff))
+			return nrv_alloc("Infinity", rve, 8);
+#endif
+		return nrv_alloc("NaN", rve, 3);
+		}
+#endif
+#ifdef IBM
+	dval(&d) += 0; /* normalize */
+#endif
+	if (!dval(&d)) {
+		*decpt = 1;
+		return nrv_alloc("0", rve, 1);
+		}
+
+#ifdef SET_INEXACT
+	try_quick = oldinexact = get_inexact();
+	inexact = 1;
+#endif
+#ifdef Honor_FLT_ROUNDS
+	if (Rounding >= 2) {
+		if (*sign)
+			Rounding = Rounding == 2 ? 0 : 2;
+		else
+			if (Rounding != 2)
+				Rounding = 0;
+		}
+#endif
+
+	b = d2b(dval(&d), &be, &bbits);
+	if (b == NULL)
+		return (NULL);
+#ifdef Sudden_Underflow
+	i = (int)(word0(&d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
+#else
+	if (( i = (int)(word0(&d) >> Exp_shift1 & (Exp_mask>>Exp_shift1)) )!=0) {
+#endif
+		dval(&d2) = dval(&d);
+		word0(&d2) &= Frac_mask1;
+		word0(&d2) |= Exp_11;
+#ifdef IBM
+		if (( j = 11 - hi0bits(word0(&d2) & Frac_mask) )!=0)
+			dval(&d2) /= 1 << j;
+#endif
+
+		/* log(x)	~=~ log(1.5) + (x-1.5)/1.5
+		 * log10(x)	 =  log(x) / log(10)
+		 *		~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
+		 * log10(&d) = (i-Bias)*log(2)/log(10) + log10(&d2)
+		 *
+		 * This suggests computing an approximation k to log10(&d) by
+		 *
+		 * k = (i - Bias)*0.301029995663981
+		 *	+ ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
+		 *
+		 * We want k to be too large rather than too small.
+		 * The error in the first-order Taylor series approximation
+		 * is in our favor, so we just round up the constant enough
+		 * to compensate for any error in the multiplication of
+		 * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
+		 * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
+		 * adding 1e-13 to the constant term more than suffices.
+		 * Hence we adjust the constant term to 0.1760912590558.
+		 * (We could get a more accurate k by invoking log10,
+		 *  but this is probably not worthwhile.)
+		 */
+
+		i -= Bias;
+#ifdef IBM
+		i <<= 2;
+		i += j;
+#endif
+#ifndef Sudden_Underflow
+		denorm = 0;
+		}
+	else {
+		/* d is denormalized */
+
+		i = bbits + be + (Bias + (P-1) - 1);
+		x = i > 32  ? word0(&d) << (64 - i) | word1(&d) >> (i - 32)
+			    : word1(&d) << (32 - i);
+		dval(&d2) = x;
+		word0(&d2) -= 31*Exp_msk1; /* adjust exponent */
+		i -= (Bias + (P-1) - 1) + 1;
+		denorm = 1;
+		}
+#endif
+	ds = (dval(&d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
+	k = (int)ds;
+	if (ds < 0. && ds != k)
+		k--;	/* want k = floor(ds) */
+	k_check = 1;
+	if (k >= 0 && k <= Ten_pmax) {
+		if (dval(&d) < tens[k])
+			k--;
+		k_check = 0;
+		}
+	j = bbits - i - 1;
+	if (j >= 0) {
+		b2 = 0;
+		s2 = j;
+		}
+	else {
+		b2 = -j;
+		s2 = 0;
+		}
+	if (k >= 0) {
+		b5 = 0;
+		s5 = k;
+		s2 += k;
+		}
+	else {
+		b2 -= k;
+		b5 = -k;
+		s5 = 0;
+		}
+	if (mode < 0 || mode > 9)
+		mode = 0;
+
+#ifndef SET_INEXACT
+#ifdef Check_FLT_ROUNDS
+	try_quick = Rounding == 1;
+#else
+	try_quick = 1;
+#endif
+#endif /*SET_INEXACT*/
+
+	if (mode > 5) {
+		mode -= 4;
+		try_quick = 0;
+		}
+	leftright = 1;
+	ilim = ilim1 = -1;	/* Values for cases 0 and 1; done here to */
+				/* silence erroneous "gcc -Wall" warning. */
+	switch(mode) {
+		case 0:
+		case 1:
+			i = 18;
+			ndigits = 0;
+			break;
+		case 2:
+			leftright = 0;
+			/* no break */
+		case 4:
+			if (ndigits <= 0)
+				ndigits = 1;
+			ilim = ilim1 = i = ndigits;
+			break;
+		case 3:
+			leftright = 0;
+			/* no break */
+		case 5:
+			i = ndigits + k + 1;
+			ilim = i;
+			ilim1 = i - 1;
+			if (i <= 0)
+				i = 1;
+		}
+	s = s0 = rv_alloc(i);
+	if (s == NULL)
+		return (NULL);
+
+#ifdef Honor_FLT_ROUNDS
+	if (mode > 1 && Rounding != 1)
+		leftright = 0;
+#endif
+
+	if (ilim >= 0 && ilim <= Quick_max && try_quick) {
+
+		/* Try to get by with floating-point arithmetic. */
+
+		i = 0;
+		dval(&d2) = dval(&d);
+		k0 = k;
+		ilim0 = ilim;
+		ieps = 2; /* conservative */
+		if (k > 0) {
+			ds = tens[k&0xf];
+			j = k >> 4;
+			if (j & Bletch) {
+				/* prevent overflows */
+				j &= Bletch - 1;
+				dval(&d) /= bigtens[n_bigtens-1];
+				ieps++;
+				}
+			for(; j; j >>= 1, i++)
+				if (j & 1) {
+					ieps++;
+					ds *= bigtens[i];
+					}
+			dval(&d) /= ds;
+			}
+		else if (( j1 = -k )!=0) {
+			dval(&d) *= tens[j1 & 0xf];
+			for(j = j1 >> 4; j; j >>= 1, i++)
+				if (j & 1) {
+					ieps++;
+					dval(&d) *= bigtens[i];
+					}
+			}
+		if (k_check && dval(&d) < 1. && ilim > 0) {
+			if (ilim1 <= 0)
+				goto fast_failed;
+			ilim = ilim1;
+			k--;
+			dval(&d) *= 10.;
+			ieps++;
+			}
+		dval(&eps) = ieps*dval(&d) + 7.;
+		word0(&eps) -= (P-1)*Exp_msk1;
+		if (ilim == 0) {
+			S = mhi = 0;
+			dval(&d) -= 5.;
+			if (dval(&d) > dval(&eps))
+				goto one_digit;
+			if (dval(&d) < -dval(&eps))
+				goto no_digits;
+			goto fast_failed;
+			}
+#ifndef No_leftright
+		if (leftright) {
+			/* Use Steele & White method of only
+			 * generating digits needed.
+			 */
+			dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
+			for(i = 0;;) {
+				L = dval(&d);
+				dval(&d) -= L;
+				*s++ = '0' + (int)L;
+				if (dval(&d) < dval(&eps))
+					goto ret1;
+				if (1. - dval(&d) < dval(&eps))
+					goto bump_up;
+				if (++i >= ilim)
+					break;
+				dval(&eps) *= 10.;
+				dval(&d) *= 10.;
+				}
+			}
+		else {
+#endif
+			/* Generate ilim digits, then fix them up. */
+			dval(&eps) *= tens[ilim-1];
+			for(i = 1;; i++, dval(&d) *= 10.) {
+				L = (Long)(dval(&d));
+				if (!(dval(&d) -= L))
+					ilim = i;
+				*s++ = '0' + (int)L;
+				if (i == ilim) {
+					if (dval(&d) > 0.5 + dval(&eps))
+						goto bump_up;
+					else if (dval(&d) < 0.5 - dval(&eps)) {
+						while(*--s == '0');
+						s++;
+						goto ret1;
+						}
+					break;
+					}
+				}
+#ifndef No_leftright
+			}
+#endif
+ fast_failed:
+		s = s0;
+		dval(&d) = dval(&d2);
+		k = k0;
+		ilim = ilim0;
+		}
+
+	/* Do we have a "small" integer? */
+
+	if (be >= 0 && k <= Int_max) {
+		/* Yes. */
+		ds = tens[k];
+		if (ndigits < 0 && ilim <= 0) {
+			S = mhi = 0;
+			if (ilim < 0 || dval(&d) <= 5*ds)
+				goto no_digits;
+			goto one_digit;
+			}
+		for(i = 1;; i++, dval(&d) *= 10.) {
+			L = (Long)(dval(&d) / ds);
+			dval(&d) -= L*ds;
+#ifdef Check_FLT_ROUNDS
+			/* If FLT_ROUNDS == 2, L will usually be high by 1 */
+			if (dval(&d) < 0) {
+				L--;
+				dval(&d) += ds;
+				}
+#endif
+			*s++ = '0' + (int)L;
+			if (!dval(&d)) {
+#ifdef SET_INEXACT
+				inexact = 0;
+#endif
+				break;
+				}
+			if (i == ilim) {
+#ifdef Honor_FLT_ROUNDS
+				if (mode > 1)
+				switch(Rounding) {
+				  case 0: goto ret1;
+				  case 2: goto bump_up;
+				  }
+#endif
+				dval(&d) += dval(&d);
+#ifdef ROUND_BIASED
+				if (dval(&d) >= ds)
+#else
+				if (dval(&d) > ds || (dval(&d) == ds && L & 1))
+#endif
+					{
+ bump_up:
+					while(*--s == '9')
+						if (s == s0) {
+							k++;
+							*s = '0';
+							break;
+							}
+					++*s++;
+					}
+				break;
+				}
+			}
+		goto ret1;
+		}
+
+	m2 = b2;
+	m5 = b5;
+	mhi = mlo = 0;
+	if (leftright) {
+		i =
+#ifndef Sudden_Underflow
+			denorm ? be + (Bias + (P-1) - 1 + 1) :
+#endif
+#ifdef IBM
+			1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
+#else
+			1 + P - bbits;
+#endif
+		b2 += i;
+		s2 += i;
+		mhi = i2b(1);
+		if (mhi == NULL)
+			return (NULL);
+		}
+	if (m2 > 0 && s2 > 0) {
+		i = m2 < s2 ? m2 : s2;
+		b2 -= i;
+		m2 -= i;
+		s2 -= i;
+		}
+	if (b5 > 0) {
+		if (leftright) {
+			if (m5 > 0) {
+				mhi = pow5mult(mhi, m5);
+				if (mhi == NULL)
+					return (NULL);
+				b1 = mult(mhi, b);
+				if (b1 == NULL)
+					return (NULL);
+				Bfree(b);
+				b = b1;
+				}
+			if (( j = b5 - m5 )!=0) {
+				b = pow5mult(b, j);
+				if (b == NULL)
+					return (NULL);
+				}
+			}
+		else {
+			b = pow5mult(b, b5);
+			if (b == NULL)
+				return (NULL);
+			}
+		}
+	S = i2b(1);
+	if (S == NULL)
+		return (NULL);
+	if (s5 > 0) {
+		S = pow5mult(S, s5);
+		if (S == NULL)
+			return (NULL);
+		}
+
+	/* Check for special case that d is a normalized power of 2. */
+
+	spec_case = 0;
+	if ((mode < 2 || leftright)
+#ifdef Honor_FLT_ROUNDS
+			&& Rounding == 1
+#endif
+				) {
+		if (!word1(&d) && !(word0(&d) & Bndry_mask)
+#ifndef Sudden_Underflow
+		 && word0(&d) & (Exp_mask & ~Exp_msk1)
+#endif
+				) {
+			/* The special case */
+			b2 += Log2P;
+			s2 += Log2P;
+			spec_case = 1;
+			}
+		}
+
+	/* Arrange for convenient computation of quotients:
+	 * shift left if necessary so divisor has 4 leading 0 bits.
+	 *
+	 * Perhaps we should just compute leading 28 bits of S once
+	 * and for all and pass them and a shift to quorem, so it
+	 * can do shifts and ors to compute the numerator for q.
+	 */
+#ifdef Pack_32
+	if (( i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f )!=0)
+		i = 32 - i;
+#else
+	if (( i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf )!=0)
+		i = 16 - i;
+#endif
+	if (i > 4) {
+		i -= 4;
+		b2 += i;
+		m2 += i;
+		s2 += i;
+		}
+	else if (i < 4) {
+		i += 28;
+		b2 += i;
+		m2 += i;
+		s2 += i;
+		}
+	if (b2 > 0) {
+		b = lshift(b, b2);
+		if (b == NULL)
+			return (NULL);
+		}
+	if (s2 > 0) {
+		S = lshift(S, s2);
+		if (S == NULL)
+			return (NULL);
+		}
+	if (k_check) {
+		if (cmp(b,S) < 0) {
+			k--;
+			b = multadd(b, 10, 0);	/* we botched the k estimate */
+			if (b == NULL)
+				return (NULL);
+			if (leftright) {
+				mhi = multadd(mhi, 10, 0);
+				if (mhi == NULL)
+					return (NULL);
+				}
+			ilim = ilim1;
+			}
+		}
+	if (ilim <= 0 && (mode == 3 || mode == 5)) {
+		S = multadd(S,5,0);
+		if (S == NULL)
+			return (NULL);
+		if (ilim < 0 || cmp(b,S) <= 0) {
+			/* no digits, fcvt style */
+ no_digits:
+			k = -1 - ndigits;
+			goto ret;
+			}
+ one_digit:
+		*s++ = '1';
+		k++;
+		goto ret;
+		}
+	if (leftright) {
+		if (m2 > 0) {
+			mhi = lshift(mhi, m2);
+			if (mhi == NULL)
+				return (NULL);
+			}
+
+		/* Compute mlo -- check for special case
+		 * that d is a normalized power of 2.
+		 */
+
+		mlo = mhi;
+		if (spec_case) {
+			mhi = Balloc(mhi->k);
+			if (mhi == NULL)
+				return (NULL);
+			Bcopy(mhi, mlo);
+			mhi = lshift(mhi, Log2P);
+			if (mhi == NULL)
+				return (NULL);
+			}
+
+		for(i = 1;;i++) {
+			dig = quorem(b,S) + '0';
+			/* Do we yet have the shortest decimal string
+			 * that will round to d?
+			 */
+			j = cmp(b, mlo);
+			delta = diff(S, mhi);
+			if (delta == NULL)
+				return (NULL);
+			j1 = delta->sign ? 1 : cmp(b, delta);
+			Bfree(delta);
+#ifndef ROUND_BIASED
+			if (j1 == 0 && mode != 1 && !(word1(&d) & 1)
+#ifdef Honor_FLT_ROUNDS
+				&& Rounding >= 1
+#endif
+								   ) {
+				if (dig == '9')
+					goto round_9_up;
+				if (j > 0)
+					dig++;
+#ifdef SET_INEXACT
+				else if (!b->x[0] && b->wds <= 1)
+					inexact = 0;
+#endif
+				*s++ = dig;
+				goto ret;
+				}
+#endif
+			if (j < 0 || (j == 0 && mode != 1
+#ifndef ROUND_BIASED
+							&& !(word1(&d) & 1)
+#endif
+					)) {
+				if (!b->x[0] && b->wds <= 1) {
+#ifdef SET_INEXACT
+					inexact = 0;
+#endif
+					goto accept_dig;
+					}
+#ifdef Honor_FLT_ROUNDS
+				if (mode > 1)
+				 switch(Rounding) {
+				  case 0: goto accept_dig;
+				  case 2: goto keep_dig;
+				  }
+#endif /*Honor_FLT_ROUNDS*/
+				if (j1 > 0) {
+					b = lshift(b, 1);
+					if (b == NULL)
+						return (NULL);
+					j1 = cmp(b, S);
+#ifdef ROUND_BIASED
+					if (j1 >= 0 /*)*/
+#else
+					if ((j1 > 0 || (j1 == 0 && dig & 1))
+#endif
+					&& dig++ == '9')
+						goto round_9_up;
+					}
+ accept_dig:
+				*s++ = dig;
+				goto ret;
+				}
+			if (j1 > 0) {
+#ifdef Honor_FLT_ROUNDS
+				if (!Rounding)
+					goto accept_dig;
+#endif
+				if (dig == '9') { /* possible if i == 1 */
+ round_9_up:
+					*s++ = '9';
+					goto roundoff;
+					}
+				*s++ = dig + 1;
+				goto ret;
+				}
+#ifdef Honor_FLT_ROUNDS
+ keep_dig:
+#endif
+			*s++ = dig;
+			if (i == ilim)
+				break;
+			b = multadd(b, 10, 0);
+			if (b == NULL)
+				return (NULL);
+			if (mlo == mhi) {
+				mlo = mhi = multadd(mhi, 10, 0);
+				if (mlo == NULL)
+					return (NULL);
+				}
+			else {
+				mlo = multadd(mlo, 10, 0);
+				if (mlo == NULL)
+					return (NULL);
+				mhi = multadd(mhi, 10, 0);
+				if (mhi == NULL)
+					return (NULL);
+				}
+			}
+		}
+	else
+		for(i = 1;; i++) {
+			*s++ = dig = quorem(b,S) + '0';
+			if (!b->x[0] && b->wds <= 1) {
+#ifdef SET_INEXACT
+				inexact = 0;
+#endif
+				goto ret;
+				}
+			if (i >= ilim)
+				break;
+			b = multadd(b, 10, 0);
+			if (b == NULL)
+				return (NULL);
+			}
+
+	/* Round off last digit */
+
+#ifdef Honor_FLT_ROUNDS
+	switch(Rounding) {
+	  case 0: goto trimzeros;
+	  case 2: goto roundoff;
+	  }
+#endif
+	b = lshift(b, 1);
+	if (b == NULL)
+		return (NULL);
+	j = cmp(b, S);
+#ifdef ROUND_BIASED
+	if (j >= 0)
+#else
+	if (j > 0 || (j == 0 && dig & 1))
+#endif
+		{
+ roundoff:
+		while(*--s == '9')
+			if (s == s0) {
+				k++;
+				*s++ = '1';
+				goto ret;
+				}
+		++*s++;
+		}
+	else {
+#ifdef Honor_FLT_ROUNDS
+ trimzeros:
+#endif
+		while(*--s == '0');
+		s++;
+		}
+ ret:
+	Bfree(S);
+	if (mhi) {
+		if (mlo && mlo != mhi)
+			Bfree(mlo);
+		Bfree(mhi);
+		}
+ ret1:
+#ifdef SET_INEXACT
+	if (inexact) {
+		if (!oldinexact) {
+			word0(&d) = Exp_1 + (70 << Exp_shift);
+			word1(&d) = 0;
+			dval(&d) += 1.;
+			}
+		}
+	else if (!oldinexact)
+		clear_inexact();
+#endif
+	Bfree(b);
+	*s = 0;
+	*decpt = k + 1;
+	if (rve)
+		*rve = s;
+	return s0;
+}
diff --git a/newlib/libc/stdlib/gdtoa-gdtoa.c b/newlib/libc/stdlib/gdtoa-gdtoa.c
new file mode 100644
index 000000000..feae5afa3
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-gdtoa.c
@@ -0,0 +1,830 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998, 1999 by Lucent Technologies
+All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and
+its documentation for any purpose and without fee is hereby
+granted, provided that the above copyright notice appear in all
+copies and that both that the copyright notice and this
+permission notice and warranty disclaimer appear in supporting
+documentation, and that the name of Lucent or any of its entities
+not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
+SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
+IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
+THIS SOFTWARE.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to ".").	*/
+
+#include "gdtoaimp.h"
+
+ static Bigint *
+#ifdef KR_headers
+bitstob(bits, nbits, bbits) ULong *bits; int nbits; int *bbits;
+#else
+bitstob(ULong *bits, int nbits, int *bbits)
+#endif
+{
+	int i, k;
+	Bigint *b;
+	ULong *be, *x, *x0;
+
+	i = ULbits;
+	k = 0;
+	while(i < nbits) {
+		i <<= 1;
+		k++;
+		}
+#ifndef Pack_32
+	if (!k)
+		k = 1;
+#endif
+	b = Balloc(k);
+	if (b == NULL)
+		return (NULL);
+	be = bits + ((nbits - 1) >> kshift);
+	x = x0 = b->x;
+	do {
+		*x++ = *bits & ALL_ON;
+#ifdef Pack_16
+		*x++ = (*bits >> 16) & ALL_ON;
+#endif
+		} while(++bits <= be);
+	i = x - x0;
+	while(!x0[--i])
+		if (!i) {
+			b->wds = 0;
+			*bbits = 0;
+			goto ret;
+			}
+	b->wds = i + 1;
+	*bbits = i*ULbits + 32 - hi0bits(b->x[i]);
+ ret:
+	return b;
+	}
+
+/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
+ *
+ * Inspired by "How to Print Floating-Point Numbers Accurately" by
+ * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
+ *
+ * Modifications:
+ *	1. Rather than iterating, we use a simple numeric overestimate
+ *	   to determine k = floor(log10(d)).  We scale relevant
+ *	   quantities using O(log2(k)) rather than O(k) multiplications.
+ *	2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
+ *	   try to generate digits strictly left to right.  Instead, we
+ *	   compute with fewer bits and propagate the carry if necessary
+ *	   when rounding the final digit up.  This is often faster.
+ *	3. Under the assumption that input will be rounded nearest,
+ *	   mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
+ *	   That is, we allow equality in stopping tests when the
+ *	   round-nearest rule will give the same floating-point value
+ *	   as would satisfaction of the stopping test with strict
+ *	   inequality.
+ *	4. We remove common factors of powers of 2 from relevant
+ *	   quantities.
+ *	5. When converting floating-point integers less than 1e16,
+ *	   we use floating-point arithmetic rather than resorting
+ *	   to multiple-precision integers.
+ *	6. When asked to produce fewer than 15 digits, we first try
+ *	   to get by with floating-point arithmetic; we resort to
+ *	   multiple-precision integer arithmetic only if we cannot
+ *	   guarantee that the floating-point calculation has given
+ *	   the correctly rounded result.  For k requested digits and
+ *	   "uniformly" distributed input, the probability is
+ *	   something like 10^(k-15) that we must resort to the Long
+ *	   calculation.
+ */
+
+ char *
+gdtoa
+#ifdef KR_headers
+	(fpi, be, bits, kindp, mode, ndigits, decpt, rve)
+	FPI *fpi; int be; ULong *bits;
+	int *kindp, mode, ndigits, *decpt; char **rve;
+#else
+	(FPI *fpi, int be, ULong *bits, int *kindp, int mode, int ndigits, int *decpt, char **rve)
+#endif
+{
+ /*	Arguments ndigits and decpt are similar to the second and third
+	arguments of ecvt and fcvt; trailing zeros are suppressed from
+	the returned string.  If not null, *rve is set to point
+	to the end of the return value.  If d is +-Infinity or NaN,
+	then *decpt is set to 9999.
+	be = exponent: value = (integer represented by bits) * (2 to the power of be).
+
+	mode:
+		0 ==> shortest string that yields d when read in
+			and rounded to nearest.
+		1 ==> like 0, but with Steele & White stopping rule;
+			e.g. with IEEE P754 arithmetic , mode 0 gives
+			1e23 whereas mode 1 gives 9.999999999999999e22.
+		2 ==> max(1,ndigits) significant digits.  This gives a
+			return value similar to that of ecvt, except
+			that trailing zeros are suppressed.
+		3 ==> through ndigits past the decimal point.  This
+			gives a return value similar to that from fcvt,
+			except that trailing zeros are suppressed, and
+			ndigits can be negative.
+		4-9 should give the same return values as 2-3, i.e.,
+			4 <= mode <= 9 ==> same return as mode
+			2 + (mode & 1).  These modes are mainly for
+			debugging; often they run slower but sometimes
+			faster than modes 2-3.
+		4,5,8,9 ==> left-to-right digit generation.
+		6-9 ==> don't try fast floating-point estimate
+			(if applicable).
+
+		Values of mode other than 0-9 are treated as mode 0.
+
+		Sufficient space is allocated to the return value
+		to hold the suppressed trailing zeros.
+	*/
+
+	int bbits, b2, b5, be0, dig, i, ieps, ilim, ilim0, ilim1, inex;
+	int j, j1, k, k0, k_check, kind, leftright, m2, m5, nbits;
+	int rdir, s2, s5, spec_case, try_quick;
+	Long L;
+	Bigint *b, *b1, *delta, *mlo, *mhi, *mhi1, *S;
+	double d2, ds;
+	char *s, *s0;
+	U d, eps;
+
+#ifndef MULTIPLE_THREADS
+	if (dtoa_result) {
+		freedtoa(dtoa_result);
+		dtoa_result = 0;
+		}
+#endif
+	inex = 0;
+	kind = *kindp &= ~STRTOG_Inexact;
+	switch(kind & STRTOG_Retmask) {
+	  case STRTOG_Zero:
+		goto ret_zero;
+	  case STRTOG_Normal:
+	  case STRTOG_Denormal:
+		break;
+	  case STRTOG_Infinite:
+		*decpt = -32768;
+		return nrv_alloc("Infinity", rve, 8);
+	  case STRTOG_NaN:
+		*decpt = -32768;
+		return nrv_alloc("NaN", rve, 3);
+	  default:
+		return 0;
+	  }
+	b = bitstob(bits, nbits = fpi->nbits, &bbits);
+	if (b == NULL)
+		return (NULL);
+	be0 = be;
+	if ( (i = trailz(b)) !=0) {
+		rshift(b, i);
+		be += i;
+		bbits -= i;
+		}
+	if (!b->wds) {
+		Bfree(b);
+ ret_zero:
+		*decpt = 1;
+		return nrv_alloc("0", rve, 1);
+		}
+
+	dval(&d) = b2d(b, &i);
+	i = be + bbits - 1;
+	word0(&d) &= Frac_mask1;
+	word0(&d) |= Exp_11;
+#ifdef IBM
+	if ( (j = 11 - hi0bits(word0(&d) & Frac_mask)) !=0)
+		dval(&d) /= 1 << j;
+#endif
+
+	/* log(x)	~=~ log(1.5) + (x-1.5)/1.5
+	 * log10(x)	 =  log(x) / log(10)
+	 *		~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
+	 * log10(&d) = (i-Bias)*log(2)/log(10) + log10(d2)
+	 *
+	 * This suggests computing an approximation k to log10(&d) by
+	 *
+	 * k = (i - Bias)*0.301029995663981
+	 *	+ ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
+	 *
+	 * We want k to be too large rather than too small.
+	 * The error in the first-order Taylor series approximation
+	 * is in our favor, so we just round up the constant enough
+	 * to compensate for any error in the multiplication of
+	 * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
+	 * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
+	 * adding 1e-13 to the constant term more than suffices.
+	 * Hence we adjust the constant term to 0.1760912590558.
+	 * (We could get a more accurate k by invoking log10,
+	 *  but this is probably not worthwhile.)
+	 */
+#ifdef IBM
+	i <<= 2;
+	i += j;
+#endif
+	ds = (dval(&d)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
+
+	/* correct assumption about exponent range */
+	if ((j = i) < 0)
+		j = -j;
+	if ((j -= 1077) > 0)
+		ds += j * 7e-17;
+
+	k = (int)ds;
+	if (ds < 0. && ds != k)
+		k--;	/* want k = floor(ds) */
+	k_check = 1;
+#ifdef IBM
+	j = be + bbits - 1;
+	if ( (j1 = j & 3) !=0)
+		dval(&d) *= 1 << j1;
+	word0(&d) += j << Exp_shift - 2 & Exp_mask;
+#else
+	word0(&d) += (be + bbits - 1) << Exp_shift;
+#endif
+	if (k >= 0 && k <= Ten_pmax) {
+		if (dval(&d) < tens[k])
+			k--;
+		k_check = 0;
+		}
+	j = bbits - i - 1;
+	if (j >= 0) {
+		b2 = 0;
+		s2 = j;
+		}
+	else {
+		b2 = -j;
+		s2 = 0;
+		}
+	if (k >= 0) {
+		b5 = 0;
+		s5 = k;
+		s2 += k;
+		}
+	else {
+		b2 -= k;
+		b5 = -k;
+		s5 = 0;
+		}
+	if (mode < 0 || mode > 9)
+		mode = 0;
+	try_quick = 1;
+	if (mode > 5) {
+		mode -= 4;
+		try_quick = 0;
+		}
+	else if (i >= -4 - Emin || i < Emin)
+		try_quick = 0;
+	leftright = 1;
+	ilim = ilim1 = -1;	/* Values for cases 0 and 1; done here to */
+				/* silence erroneous "gcc -Wall" warning. */
+	switch(mode) {
+		case 0:
+		case 1:
+			i = (int)(nbits * .30103) + 3;
+			ndigits = 0;
+			break;
+		case 2:
+			leftright = 0;
+			/* no break */
+		case 4:
+			if (ndigits <= 0)
+				ndigits = 1;
+			ilim = ilim1 = i = ndigits;
+			break;
+		case 3:
+			leftright = 0;
+			/* no break */
+		case 5:
+			i = ndigits + k + 1;
+			ilim = i;
+			ilim1 = i - 1;
+			if (i <= 0)
+				i = 1;
+		}
+	s = s0 = rv_alloc(i);
+	if (s == NULL)
+		return (NULL);
+
+	if ( (rdir = fpi->rounding - 1) !=0) {
+		if (rdir < 0)
+			rdir = 2;
+		if (kind & STRTOG_Neg)
+			rdir = 3 - rdir;
+		}
+
+	/* Now rdir = 0 ==> round near, 1 ==> round up, 2 ==> round down. */
+
+	if (ilim >= 0 && ilim <= Quick_max && try_quick && !rdir
+#ifndef IMPRECISE_INEXACT
+		&& k == 0
+#endif
+								) {
+
+		/* Try to get by with floating-point arithmetic. */
+
+		i = 0;
+		d2 = dval(&d);
+#ifdef IBM
+		if ( (j = 11 - hi0bits(word0(&d) & Frac_mask)) !=0)
+			dval(&d) /= 1 << j;
+#endif
+		k0 = k;
+		ilim0 = ilim;
+		ieps = 2; /* conservative */
+		if (k > 0) {
+			ds = tens[k&0xf];
+			j = k >> 4;
+			if (j & Bletch) {
+				/* prevent overflows */
+				j &= Bletch - 1;
+				dval(&d) /= bigtens[n_bigtens-1];
+				ieps++;
+				}
+			for(; j; j >>= 1, i++)
+				if (j & 1) {
+					ieps++;
+					ds *= bigtens[i];
+					}
+			}
+		else  {
+			ds = 1.;
+			if ( (j1 = -k) !=0) {
+				dval(&d) *= tens[j1 & 0xf];
+				for(j = j1 >> 4; j; j >>= 1, i++)
+					if (j & 1) {
+						ieps++;
+						dval(&d) *= bigtens[i];
+						}
+				}
+			}
+		if (k_check && dval(&d) < 1. && ilim > 0) {
+			if (ilim1 <= 0)
+				goto fast_failed;
+			ilim = ilim1;
+			k--;
+			dval(&d) *= 10.;
+			ieps++;
+			}
+		dval(&eps) = ieps*dval(&d) + 7.;
+		word0(&eps) -= (P-1)*Exp_msk1;
+		if (ilim == 0) {
+			S = mhi = 0;
+			dval(&d) -= 5.;
+			if (dval(&d) > dval(&eps))
+				goto one_digit;
+			if (dval(&d) < -dval(&eps))
+				goto no_digits;
+			goto fast_failed;
+			}
+#ifndef No_leftright
+		if (leftright) {
+			/* Use Steele & White method of only
+			 * generating digits needed.
+			 */
+			dval(&eps) = ds*0.5/tens[ilim-1] - dval(&eps);
+			for(i = 0;;) {
+				L = (Long)(dval(&d)/ds);
+				dval(&d) -= L*ds;
+				*s++ = '0' + (int)L;
+				if (dval(&d) < dval(&eps)) {
+					if (dval(&d))
+						inex = STRTOG_Inexlo;
+					goto ret1;
+					}
+				if (ds - dval(&d) < dval(&eps))
+					goto bump_up;
+				if (++i >= ilim)
+					break;
+				dval(&eps) *= 10.;
+				dval(&d) *= 10.;
+				}
+			}
+		else {
+#endif
+			/* Generate ilim digits, then fix them up. */
+			dval(&eps) *= tens[ilim-1];
+			for(i = 1;; i++, dval(&d) *= 10.) {
+				if ( (L = (Long)(dval(&d)/ds)) !=0)
+					dval(&d) -= L*ds;
+				*s++ = '0' + (int)L;
+				if (i == ilim) {
+					ds *= 0.5;
+					if (dval(&d) > ds + dval(&eps))
+						goto bump_up;
+					else if (dval(&d) < ds - dval(&eps)) {
+						if (dval(&d))
+							inex = STRTOG_Inexlo;
+						goto clear_trailing0;
+						}
+					break;
+					}
+				}
+#ifndef No_leftright
+			}
+#endif
+ fast_failed:
+		s = s0;
+		dval(&d) = d2;
+		k = k0;
+		ilim = ilim0;
+		}
+
+	/* Do we have a "small" integer? */
+
+	if (be >= 0 && k <= Int_max) {
+		/* Yes. */
+		ds = tens[k];
+		if (ndigits < 0 && ilim <= 0) {
+			S = mhi = 0;
+			if (ilim < 0 || dval(&d) <= 5*ds)
+				goto no_digits;
+			goto one_digit;
+			}
+		for(i = 1;; i++, dval(&d) *= 10.) {
+			L = dval(&d) / ds;
+			dval(&d) -= L*ds;
+#ifdef Check_FLT_ROUNDS
+			/* If FLT_ROUNDS == 2, L will usually be high by 1 */
+			if (dval(&d) < 0) {
+				L--;
+				dval(&d) += ds;
+				}
+#endif
+			*s++ = '0' + (int)L;
+			if (dval(&d) == 0.)
+				break;
+			if (i == ilim) {
+				if (rdir) {
+					if (rdir == 1)
+						goto bump_up;
+					inex = STRTOG_Inexlo;
+					goto ret1;
+					}
+				dval(&d) += dval(&d);
+#ifdef ROUND_BIASED
+				if (dval(&d) >= ds)
+#else
+				if (dval(&d) > ds || (dval(&d) == ds && L & 1))
+#endif
+					{
+ bump_up:
+					inex = STRTOG_Inexhi;
+					while(*--s == '9')
+						if (s == s0) {
+							k++;
+							*s = '0';
+							break;
+							}
+					++*s++;
+					}
+				else {
+					inex = STRTOG_Inexlo;
+ clear_trailing0:
+					while(*--s == '0'){}
+					++s;
+					}
+				break;
+				}
+			}
+		goto ret1;
+		}
+
+	m2 = b2;
+	m5 = b5;
+	mhi = mlo = 0;
+	if (leftright) {
+		i = nbits - bbits;
+		if (be - i++ < fpi->emin && mode != 3 && mode != 5) {
+			/* denormal */
+			i = be - fpi->emin + 1;
+			if (mode >= 2 && ilim > 0 && ilim < i)
+				goto small_ilim;
+			}
+		else if (mode >= 2) {
+ small_ilim:
+			j = ilim - 1;
+			if (m5 >= j)
+				m5 -= j;
+			else {
+				s5 += j -= m5;
+				b5 += j;
+				m5 = 0;
+				}
+			if ((i = ilim) < 0) {
+				m2 -= i;
+				i = 0;
+				}
+			}
+		b2 += i;
+		s2 += i;
+		mhi = i2b(1);
+		if (mhi == NULL)
+			return (NULL);
+		}
+	if (m2 > 0 && s2 > 0) {
+		i = m2 < s2 ? m2 : s2;
+		b2 -= i;
+		m2 -= i;
+		s2 -= i;
+		}
+	if (b5 > 0) {
+		if (leftright) {
+			if (m5 > 0) {
+				mhi = pow5mult(mhi, m5);
+				if (mhi == NULL)
+					return (NULL);
+				b1 = mult(mhi, b);
+				if (b1 == NULL)
+					return (NULL);
+				Bfree(b);
+				b = b1;
+				}
+			if ( (j = b5 - m5) !=0) {
+				b = pow5mult(b, j);
+				if (b == NULL)
+					return (NULL);
+				}
+			}
+		else {
+			b = pow5mult(b, b5);
+			if (b == NULL)
+				return (NULL);
+			}
+		}
+	S = i2b(1);
+	if (S == NULL)
+		return (NULL);
+	if (s5 > 0) {
+		S = pow5mult(S, s5);
+		if (S == NULL)
+			return (NULL);
+		}
+
+	/* Check for special case that d is a normalized power of 2. */
+
+	spec_case = 0;
+	if (mode < 2) {
+		if (bbits == 1 && be0 > fpi->emin + 1) {
+			/* The special case */
+			b2++;
+			s2++;
+			spec_case = 1;
+			}
+		}
+
+	/* Arrange for convenient computation of quotients:
+	 * shift left if necessary so divisor has 4 leading 0 bits.
+	 *
+	 * Perhaps we should just compute leading 28 bits of S once
+	 * and for all and pass them and a shift to quorem, so it
+	 * can do shifts and ors to compute the numerator for q.
+	 */
+	i = ((s5 ? hi0bits(S->x[S->wds-1]) : ULbits - 1) - s2 - 4) & kmask;
+	m2 += i;
+	if ((b2 += i) > 0) {
+		b = lshift(b, b2);
+		if (b == NULL)
+			return (NULL);
+		}
+	if ((s2 += i) > 0) {
+		S = lshift(S, s2);
+		if (S == NULL)
+			return (NULL);
+		}
+	if (k_check) {
+		if (cmp(b,S) < 0) {
+			k--;
+			b = multadd(b, 10, 0);	/* we botched the k estimate */
+			if (b == NULL)
+				return (NULL);
+			if (leftright) {
+				mhi = multadd(mhi, 10, 0);
+				if (mhi == NULL)
+					return (NULL);
+				}
+			ilim = ilim1;
+			}
+		}
+	if (ilim <= 0 && mode > 2) {
+		S = multadd(S,5,0);
+		if (S == NULL)
+			return (NULL);
+		if (ilim < 0 || cmp(b,S) <= 0) {
+			/* no digits, fcvt style */
+ no_digits:
+			k = -1 - ndigits;
+			inex = STRTOG_Inexlo;
+			goto ret;
+			}
+ one_digit:
+		inex = STRTOG_Inexhi;
+		*s++ = '1';
+		k++;
+		goto ret;
+		}
+	if (leftright) {
+		if (m2 > 0) {
+			mhi = lshift(mhi, m2);
+			if (mhi == NULL)
+				return (NULL);
+			}
+
+		/* Compute mlo -- check for special case
+		 * that d is a normalized power of 2.
+		 */
+
+		mlo = mhi;
+		if (spec_case) {
+			mhi = Balloc(mhi->k);
+			if (mhi == NULL)
+				return (NULL);
+			Bcopy(mhi, mlo);
+			mhi = lshift(mhi, 1);
+			if (mhi == NULL)
+				return (NULL);
+			}
+
+		for(i = 1;;i++) {
+			dig = quorem(b,S) + '0';
+			/* Do we yet have the shortest decimal string
+			 * that will round to d?
+			 */
+			j = cmp(b, mlo);
+			delta = diff(S, mhi);
+			if (delta == NULL)
+				return (NULL);
+			j1 = delta->sign ? 1 : cmp(b, delta);
+			Bfree(delta);
+#ifndef ROUND_BIASED
+			if (j1 == 0 && !mode && !(bits[0] & 1) && !rdir) {
+				if (dig == '9')
+					goto round_9_up;
+				if (j <= 0) {
+					if (b->wds > 1 || b->x[0])
+						inex = STRTOG_Inexlo;
+					}
+				else {
+					dig++;
+					inex = STRTOG_Inexhi;
+					}
+				*s++ = dig;
+				goto ret;
+				}
+#endif
+			if (j < 0 || (j == 0 && !mode
+#ifndef ROUND_BIASED
+							&& !(bits[0] & 1)
+#endif
+					)) {
+				if (rdir && (b->wds > 1 || b->x[0])) {
+					if (rdir == 2) {
+						inex = STRTOG_Inexlo;
+						goto accept;
+						}
+					while (cmp(S,mhi) > 0) {
+						*s++ = dig;
+						mhi1 = multadd(mhi, 10, 0);
+						if (mhi1 == NULL)
+							return (NULL);
+						if (mlo == mhi)
+							mlo = mhi1;
+						mhi = mhi1;
+						b = multadd(b, 10, 0);
+						if (b == NULL)
+							return (NULL);
+						dig = quorem(b,S) + '0';
+						}
+					if (dig++ == '9')
+						goto round_9_up;
+					inex = STRTOG_Inexhi;
+					goto accept;
+					}
+				if (j1 > 0) {
+					b = lshift(b, 1);
+					if (b == NULL)
+						return (NULL);
+					j1 = cmp(b, S);
+#ifdef ROUND_BIASED
+					if (j1 >= 0 /*)*/
+#else
+					if ((j1 > 0 || (j1 == 0 && dig & 1))
+#endif
+					&& dig++ == '9')
+						goto round_9_up;
+					inex = STRTOG_Inexhi;
+					}
+				if (b->wds > 1 || b->x[0])
+					inex = STRTOG_Inexlo;
+ accept:
+				*s++ = dig;
+				goto ret;
+				}
+			if (j1 > 0 && rdir != 2) {
+				if (dig == '9') { /* possible if i == 1 */
+ round_9_up:
+					*s++ = '9';
+					inex = STRTOG_Inexhi;
+					goto roundoff;
+					}
+				inex = STRTOG_Inexhi;
+				*s++ = dig + 1;
+				goto ret;
+				}
+			*s++ = dig;
+			if (i == ilim)
+				break;
+			b = multadd(b, 10, 0);
+			if (b == NULL)
+				return (NULL);
+			if (mlo == mhi) {
+				mlo = mhi = multadd(mhi, 10, 0);
+				if (mlo == NULL)
+					return (NULL);
+				}
+			else {
+				mlo = multadd(mlo, 10, 0);
+				if (mlo == NULL)
+					return (NULL);
+				mhi = multadd(mhi, 10, 0);
+				if (mhi == NULL)
+					return (NULL);
+				}
+			}
+		}
+	else
+		for(i = 1;; i++) {
+			*s++ = dig = quorem(b,S) + '0';
+			if (i >= ilim)
+				break;
+			b = multadd(b, 10, 0);
+			if (b == NULL)
+				return (NULL);
+			}
+
+	/* Round off last digit */
+
+	if (rdir) {
+		if (rdir == 2 || (b->wds <= 1 && !b->x[0]))
+			goto chopzeros;
+		goto roundoff;
+		}
+	b = lshift(b, 1);
+	if (b == NULL)
+		return (NULL);
+	j = cmp(b, S);
+#ifdef ROUND_BIASED
+	if (j >= 0)
+#else
+	if (j > 0 || (j == 0 && dig & 1))
+#endif
+		{
+ roundoff:
+		inex = STRTOG_Inexhi;
+		while(*--s == '9')
+			if (s == s0) {
+				k++;
+				*s++ = '1';
+				goto ret;
+				}
+		++*s++;
+		}
+	else {
+ chopzeros:
+		if (b->wds > 1 || b->x[0])
+			inex = STRTOG_Inexlo;
+		while(*--s == '0'){}
+		++s;
+		}
+ ret:
+	Bfree(S);
+	if (mhi) {
+		if (mlo && mlo != mhi)
+			Bfree(mlo);
+		Bfree(mhi);
+		}
+ ret1:
+	Bfree(b);
+	*s = 0;
+	*decpt = k + 1;
+	if (rve)
+		*rve = s;
+	*kindp |= inex;
+	return s0;
+	}
+DEF_STRONG(gdtoa);
diff --git a/newlib/libc/stdlib/gdtoa-gmisc.c b/newlib/libc/stdlib/gdtoa-gmisc.c
new file mode 100644
index 000000000..8270ef944
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-gmisc.c
@@ -0,0 +1,86 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998 by Lucent Technologies
+All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and
+its documentation for any purpose and without fee is hereby
+granted, provided that the above copyright notice appear in all
+copies and that both that the copyright notice and this
+permission notice and warranty disclaimer appear in supporting
+documentation, and that the name of Lucent or any of its entities
+not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
+SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
+IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
+THIS SOFTWARE.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to ".").	*/
+
+#include "gdtoaimp.h"
+
+ void
+#ifdef KR_headers
+rshift(b, k) Bigint *b; int k;
+#else
+rshift(Bigint *b, int k)
+#endif
+{
+	ULong *x, *x1, *xe, y;
+	int n;
+
+	x = x1 = b->x;
+	n = k >> kshift;
+	if (n < b->wds) {
+		xe = x + b->wds;
+		x += n;
+		if (k &= kmask) {
+			n = ULbits - k;
+			y = *x++ >> k;
+			while(x < xe) {
+				*x1++ = (y | (*x << n)) & ALL_ON;
+				y = *x++ >> k;
+				}
+			if ((*x1 = y) !=0)
+				x1++;
+			}
+		else
+			while(x < xe)
+				*x1++ = *x++;
+		}
+	if ((b->wds = x1 - b->x) == 0)
+		b->x[0] = 0;
+	}
+
+ int
+#ifdef KR_headers
+trailz(b) Bigint *b;
+#else
+trailz(Bigint *b)
+#endif
+{
+	ULong L, *x, *xe;
+	int n = 0;
+
+	x = b->x;
+	xe = x + b->wds;
+	for(n = 0; x < xe && !*x; x++)
+		n += ULbits;
+	if (x < xe) {
+		L = *x;
+		n += lo0bits(&L);
+		}
+	return n;
+	}
diff --git a/newlib/libc/stdlib/gdtoa-ldtoa.c b/newlib/libc/stdlib/gdtoa-ldtoa.c
new file mode 100644
index 000000000..7282e7a39
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-ldtoa.c
@@ -0,0 +1,124 @@
+/*	$OpenBSD: ldtoa.c,v 1.4 2016/03/09 16:28:47 deraadt Exp $	*/
+/*-
+ * Copyright (c) 2003 David Schultz <das@FreeBSD.ORG>
+ * 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.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``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 THE AUTHOR OR CONTRIBUTORS 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 <sys/types.h>
+#include <machine/ieee.h>
+#include <float.h>
+#include <stdint.h>
+#include <limits.h>
+#include <math.h>
+#include <stdlib.h>
+#include "gdtoaimp.h"
+
+#if (LDBL_MANT_DIG > DBL_MANT_DIG)
+
+/*
+ * ldtoa() is a wrapper for gdtoa() that makes it smell like dtoa(),
+ * except that the floating point argument is passed by reference.
+ * When dtoa() is passed a NaN or infinity, it sets expt to 9999.
+ * However, a long double could have a valid exponent of 9999, so we
+ * use INT_MAX in ldtoa() instead.
+ */
+char *
+__ldtoa(long double *ld, int mode, int ndigits, int *decpt, int *sign,
+    char **rve)
+{
+	FPI fpi = {
+		LDBL_MANT_DIG,			/* nbits */
+		LDBL_MIN_EXP - LDBL_MANT_DIG,	/* emin */
+		LDBL_MAX_EXP - LDBL_MANT_DIG,	/* emax */
+		FLT_ROUNDS,	       		/* rounding */
+#ifdef Sudden_Underflow	/* unused, but correct anyway */
+		1
+#else
+		0
+#endif
+	};
+	int be, kind;
+	char *ret;
+	struct ieee_ext *p = (struct ieee_ext *)ld;
+	uint32_t bits[(LDBL_MANT_DIG + 31) / 32];
+	void *vbits = bits;
+
+	/*
+	 * gdtoa doesn't know anything about the sign of the number, so
+	 * if the number is negative, we need to swap rounding modes of
+	 * 2 (upwards) and 3 (downwards).
+	 */
+	*sign = p->ext_sign;
+	fpi.rounding ^= (fpi.rounding >> 1) & p->ext_sign;
+
+	be = p->ext_exp - (LDBL_MAX_EXP - 1) - (LDBL_MANT_DIG - 1);
+	EXT_TO_ARRAY32(p, bits);
+
+	switch (fpclassify(*ld)) {
+	case FP_NORMAL:
+		kind = STRTOG_Normal;
+#ifdef EXT_IMPLICIT_NBIT
+		bits[LDBL_MANT_DIG / 32] |= 1 << ((LDBL_MANT_DIG - 1) % 32);
+#endif /* EXT_IMPLICIT_NBIT */
+		break;
+	case FP_ZERO:
+		kind = STRTOG_Zero;
+		break;
+	case FP_SUBNORMAL:
+		kind = STRTOG_Denormal;
+		be++;
+		break;
+	case FP_INFINITE:
+		kind = STRTOG_Infinite;
+		break;
+	case FP_NAN:
+		kind = STRTOG_NaN;
+		break;
+	default:
+		abort();
+	}
+
+	ret = gdtoa(&fpi, be, vbits, &kind, mode, ndigits, decpt, rve);
+	if (*decpt == -32768)
+		*decpt = INT_MAX;
+	return ret;
+}
+DEF_STRONG(__ldtoa);
+
+#else   /* (LDBL_MANT_DIG == DBL_MANT_DIG) */
+
+char *
+__ldtoa(long double *ld, int mode, int ndigits, int *decpt, int *sign,
+    char **rve)
+{
+	char *ret;
+
+	ret = dtoa((double)*ld, mode, ndigits, decpt, sign, rve);
+	if (*decpt == 9999)
+		*decpt = INT_MAX;
+	return ret;
+}
+DEF_STRONG(__ldtoa);
+
+#endif  /* (LDBL_MANT_DIG == DBL_MANT_DIG) */
diff --git a/newlib/libc/stdlib/gdtoa-misc.c b/newlib/libc/stdlib/gdtoa-misc.c
new file mode 100644
index 000000000..5d1e0ad69
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-misc.c
@@ -0,0 +1,912 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998, 1999 by Lucent Technologies
+All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and
+its documentation for any purpose and without fee is hereby
+granted, provided that the above copyright notice appear in all
+copies and that both that the copyright notice and this
+permission notice and warranty disclaimer appear in supporting
+documentation, and that the name of Lucent or any of its entities
+not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
+SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
+IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
+THIS SOFTWARE.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to ".").	*/
+
+#include "gdtoaimp.h"
+
+ static Bigint *freelist[Kmax+1];
+#ifndef Omit_Private_Memory
+#ifndef PRIVATE_MEM
+#define PRIVATE_MEM 2304
+#endif
+#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
+static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
+#endif
+
+#ifdef MULTIPLE_THREADS
+__LOCK_INIT(static, __dtoa_lock0);
+__LOCK_INIT(static, __dtoa_lock1);
+#endif
+
+ Bigint *
+Balloc
+#ifdef KR_headers
+	(k) int k;
+#else
+	(int k)
+#endif
+{
+	int x;
+	Bigint *rv;
+#ifndef Omit_Private_Memory
+	unsigned int len;
+#endif
+
+	ACQUIRE_DTOA_LOCK(0);
+	/* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
+	/* but this case seems very unlikely. */
+	if (k <= Kmax && (rv = freelist[k]) !=0) {
+		freelist[k] = rv->next;
+		}
+	else {
+		x = 1 << k;
+#ifdef Omit_Private_Memory
+		rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
+		if (rv == NULL)
+			return (NULL);
+#else
+		len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
+			/sizeof(double);
+		if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
+			rv = (Bigint*)pmem_next;
+			pmem_next += len;
+			}
+		else {
+			rv = (Bigint*)MALLOC(len*sizeof(double));
+			if (rv == NULL)
+				return (NULL);
+		}
+#endif
+		rv->k = k;
+		rv->maxwds = x;
+		}
+	FREE_DTOA_LOCK(0);
+	rv->sign = rv->wds = 0;
+	return rv;
+	}
+
+ void
+Bfree
+#ifdef KR_headers
+	(v) Bigint *v;
+#else
+	(Bigint *v)
+#endif
+{
+	if (v) {
+		if (v->k > Kmax)
+#ifdef FREE
+			FREE(v);
+#else
+			free(v);
+#endif
+		else {
+			ACQUIRE_DTOA_LOCK(0);
+			v->next = freelist[v->k];
+			freelist[v->k] = v;
+			FREE_DTOA_LOCK(0);
+			}
+		}
+	}
+
+ int
+lo0bits
+#ifdef KR_headers
+	(y) ULong *y;
+#else
+	(ULong *y)
+#endif
+{
+	int k;
+	ULong x = *y;
+
+	if (x & 7) {
+		if (x & 1)
+			return 0;
+		if (x & 2) {
+			*y = x >> 1;
+			return 1;
+			}
+		*y = x >> 2;
+		return 2;
+		}
+	k = 0;
+	if (!(x & 0xffff)) {
+		k = 16;
+		x >>= 16;
+		}
+	if (!(x & 0xff)) {
+		k += 8;
+		x >>= 8;
+		}
+	if (!(x & 0xf)) {
+		k += 4;
+		x >>= 4;
+		}
+	if (!(x & 0x3)) {
+		k += 2;
+		x >>= 2;
+		}
+	if (!(x & 1)) {
+		k++;
+		x >>= 1;
+		if (!x)
+			return 32;
+		}
+	*y = x;
+	return k;
+	}
+
+ Bigint *
+multadd
+#ifdef KR_headers
+	(b, m, a) Bigint *b; int m, a;
+#else
+	(Bigint *b, int m, int a)	/* multiply by m and add a */
+#endif
+{
+	int i, wds;
+#ifdef ULLong
+	ULong *x;
+	ULLong carry, y;
+#else
+	ULong carry, *x, y;
+#ifdef Pack_32
+	ULong xi, z;
+#endif
+#endif
+	Bigint *b1;
+
+	wds = b->wds;
+	x = b->x;
+	i = 0;
+	carry = a;
+	do {
+#ifdef ULLong
+		y = *x * (ULLong)m + carry;
+		carry = y >> 32;
+		*x++ = y & 0xffffffffUL;
+#else
+#ifdef Pack_32
+		xi = *x;
+		y = (xi & 0xffff) * m + carry;
+		z = (xi >> 16) * m + (y >> 16);
+		carry = z >> 16;
+		*x++ = (z << 16) + (y & 0xffff);
+#else
+		y = *x * m + carry;
+		carry = y >> 16;
+		*x++ = y & 0xffff;
+#endif
+#endif
+		}
+		while(++i < wds);
+	if (carry) {
+		if (wds >= b->maxwds) {
+			b1 = Balloc(b->k+1);
+			if (b1 == NULL)
+				return (NULL);
+			Bcopy(b1, b);
+			Bfree(b);
+			b = b1;
+			}
+		b->x[wds++] = carry;
+		b->wds = wds;
+		}
+	return b;
+	}
+
+ int
+hi0bits_D2A
+#ifdef KR_headers
+	(x) ULong x;
+#else
+	(ULong x)
+#endif
+{
+	int k = 0;
+
+	if (!(x & 0xffff0000)) {
+		k = 16;
+		x <<= 16;
+		}
+	if (!(x & 0xff000000)) {
+		k += 8;
+		x <<= 8;
+		}
+	if (!(x & 0xf0000000)) {
+		k += 4;
+		x <<= 4;
+		}
+	if (!(x & 0xc0000000)) {
+		k += 2;
+		x <<= 2;
+		}
+	if (!(x & 0x80000000)) {
+		k++;
+		if (!(x & 0x40000000))
+			return 32;
+		}
+	return k;
+	}
+
+ Bigint *
+i2b
+#ifdef KR_headers
+	(i) int i;
+#else
+	(int i)
+#endif
+{
+	Bigint *b;
+
+	b = Balloc(1);
+	if (b == NULL)
+		return (NULL);
+	b->x[0] = i;
+	b->wds = 1;
+	return b;
+	}
+
+ Bigint *
+mult
+#ifdef KR_headers
+	(a, b) Bigint *a, *b;
+#else
+	(Bigint *a, Bigint *b)
+#endif
+{
+	Bigint *c;
+	int k, wa, wb, wc;
+	ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
+	ULong y;
+#ifdef ULLong
+	ULLong carry, z;
+#else
+	ULong carry, z;
+#ifdef Pack_32
+	ULong z2;
+#endif
+#endif
+
+	if (a->wds < b->wds) {
+		c = a;
+		a = b;
+		b = c;
+		}
+	k = a->k;
+	wa = a->wds;
+	wb = b->wds;
+	wc = wa + wb;
+	if (wc > a->maxwds)
+		k++;
+	c = Balloc(k);
+	if (c == NULL)
+		return (NULL);
+	for(x = c->x, xa = x + wc; x < xa; x++)
+		*x = 0;
+	xa = a->x;
+	xae = xa + wa;
+	xb = b->x;
+	xbe = xb + wb;
+	xc0 = c->x;
+#ifdef ULLong
+	for(; xb < xbe; xc0++) {
+		if ( (y = *xb++) !=0) {
+			x = xa;
+			xc = xc0;
+			carry = 0;
+			do {
+				z = *x++ * (ULLong)y + *xc + carry;
+				carry = z >> 32;
+				*xc++ = z & 0xffffffffUL;
+				}
+				while(x < xae);
+			*xc = carry;
+			}
+		}
+#else
+#ifdef Pack_32
+	for(; xb < xbe; xb++, xc0++) {
+		if ( (y = *xb & 0xffff) !=0) {
+			x = xa;
+			xc = xc0;
+			carry = 0;
+			do {
+				z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
+				carry = z >> 16;
+				z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
+				carry = z2 >> 16;
+				Storeinc(xc, z2, z);
+				}
+				while(x < xae);
+			*xc = carry;
+			}
+		if ( (y = *xb >> 16) !=0) {
+			x = xa;
+			xc = xc0;
+			carry = 0;
+			z2 = *xc;
+			do {
+				z = (*x & 0xffff) * y + (*xc >> 16) + carry;
+				carry = z >> 16;
+				Storeinc(xc, z, z2);
+				z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
+				carry = z2 >> 16;
+				}
+				while(x < xae);
+			*xc = z2;
+			}
+		}
+#else
+	for(; xb < xbe; xc0++) {
+		if ( (y = *xb++) !=0) {
+			x = xa;
+			xc = xc0;
+			carry = 0;
+			do {
+				z = *x++ * y + *xc + carry;
+				carry = z >> 16;
+				*xc++ = z & 0xffff;
+				}
+				while(x < xae);
+			*xc = carry;
+			}
+		}
+#endif
+#endif
+	for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
+	c->wds = wc;
+	return c;
+	}
+
+ static Bigint *p5s;
+
+ Bigint *
+pow5mult
+#ifdef KR_headers
+	(b, k) Bigint *b; int k;
+#else
+	(Bigint *b, int k)
+#endif
+{
+	Bigint *b1, *p5, *p51;
+	int i;
+	static int p05[3] = { 5, 25, 125 };
+
+	if ( (i = k & 3) !=0) {
+		b = multadd(b, p05[i-1], 0);
+		if (b == NULL)
+			return (NULL);
+		}
+
+	if (!(k >>= 2))
+		return b;
+	if ((p5 = p5s) == 0) {
+		/* first time */
+#ifdef MULTIPLE_THREADS
+		ACQUIRE_DTOA_LOCK(1);
+		if (!(p5 = p5s)) {
+			p5 = p5s = i2b(625);
+			if (p5 == NULL)
+				return (NULL);
+			p5->next = 0;
+			}
+		FREE_DTOA_LOCK(1);
+#else
+		p5 = p5s = i2b(625);
+		if (p5 == NULL)
+			return (NULL);
+		p5->next = 0;
+#endif
+		}
+	for(;;) {
+		if (k & 1) {
+			b1 = mult(b, p5);
+			if (b1 == NULL)
+				return (NULL);
+			Bfree(b);
+			b = b1;
+			}
+		if (!(k >>= 1))
+			break;
+		if ((p51 = p5->next) == 0) {
+#ifdef MULTIPLE_THREADS
+			ACQUIRE_DTOA_LOCK(1);
+			if (!(p51 = p5->next)) {
+				p51 = p5->next = mult(p5,p5);
+				if (p51 == NULL)
+					return (NULL);
+				p51->next = 0;
+				}
+			FREE_DTOA_LOCK(1);
+#else
+			p51 = p5->next = mult(p5,p5);
+			if (p51 == NULL)
+				return (NULL);
+			p51->next = 0;
+#endif
+			}
+		p5 = p51;
+		}
+	return b;
+	}
+
+ Bigint *
+lshift
+#ifdef KR_headers
+	(b, k) Bigint *b; int k;
+#else
+	(Bigint *b, int k)
+#endif
+{
+	int i, k1, n, n1;
+	Bigint *b1;
+	ULong *x, *x1, *xe, z;
+
+	n = k >> kshift;
+	k1 = b->k;
+	n1 = n + b->wds + 1;
+	for(i = b->maxwds; n1 > i; i <<= 1)
+		k1++;
+	b1 = Balloc(k1);
+	if (b1 == NULL)
+		return (NULL);
+	x1 = b1->x;
+	for(i = 0; i < n; i++)
+		*x1++ = 0;
+	x = b->x;
+	xe = x + b->wds;
+	if (k &= kmask) {
+#ifdef Pack_32
+		k1 = 32 - k;
+		z = 0;
+		do {
+			*x1++ = *x << k | z;
+			z = *x++ >> k1;
+			}
+			while(x < xe);
+		if ((*x1 = z) !=0)
+			++n1;
+#else
+		k1 = 16 - k;
+		z = 0;
+		do {
+			*x1++ = *x << k  & 0xffff | z;
+			z = *x++ >> k1;
+			}
+			while(x < xe);
+		if (*x1 = z)
+			++n1;
+#endif
+		}
+	else do
+		*x1++ = *x++;
+		while(x < xe);
+	b1->wds = n1 - 1;
+	Bfree(b);
+	return b1;
+	}
+
+ int
+cmp
+#ifdef KR_headers
+	(a, b) Bigint *a, *b;
+#else
+	(Bigint *a, Bigint *b)
+#endif
+{
+	ULong *xa, *xa0, *xb, *xb0;
+	int i, j;
+
+	i = a->wds;
+	j = b->wds;
+#ifdef DEBUG
+	if (i > 1 && !a->x[i-1])
+		Bug("cmp called with a->x[a->wds-1] == 0");
+	if (j > 1 && !b->x[j-1])
+		Bug("cmp called with b->x[b->wds-1] == 0");
+#endif
+	if (i -= j)
+		return i;
+	xa0 = a->x;
+	xa = xa0 + j;
+	xb0 = b->x;
+	xb = xb0 + j;
+	for(;;) {
+		if (*--xa != *--xb)
+			return *xa < *xb ? -1 : 1;
+		if (xa <= xa0)
+			break;
+		}
+	return 0;
+	}
+
+ Bigint *
+diff
+#ifdef KR_headers
+	(a, b) Bigint *a, *b;
+#else
+	(Bigint *a, Bigint *b)
+#endif
+{
+	Bigint *c;
+	int i, wa, wb;
+	ULong *xa, *xae, *xb, *xbe, *xc;
+#ifdef ULLong
+	ULLong borrow, y;
+#else
+	ULong borrow, y;
+#ifdef Pack_32
+	ULong z;
+#endif
+#endif
+
+	i = cmp(a,b);
+	if (!i) {
+		c = Balloc(0);
+		if (c == NULL)
+			return (NULL);
+		c->wds = 1;
+		c->x[0] = 0;
+		return c;
+		}
+	if (i < 0) {
+		c = a;
+		a = b;
+		b = c;
+		i = 1;
+		}
+	else
+		i = 0;
+	c = Balloc(a->k);
+	if (c == NULL)
+		return (NULL);
+	c->sign = i;
+	wa = a->wds;
+	xa = a->x;
+	xae = xa + wa;
+	wb = b->wds;
+	xb = b->x;
+	xbe = xb + wb;
+	xc = c->x;
+	borrow = 0;
+#ifdef ULLong
+	do {
+		y = (ULLong)*xa++ - *xb++ - borrow;
+		borrow = y >> 32 & 1UL;
+		*xc++ = y & 0xffffffffUL;
+		}
+		while(xb < xbe);
+	while(xa < xae) {
+		y = *xa++ - borrow;
+		borrow = y >> 32 & 1UL;
+		*xc++ = y & 0xffffffffUL;
+		}
+#else
+#ifdef Pack_32
+	do {
+		y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;
+		borrow = (y & 0x10000) >> 16;
+		z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
+		borrow = (z & 0x10000) >> 16;
+		Storeinc(xc, z, y);
+		}
+		while(xb < xbe);
+	while(xa < xae) {
+		y = (*xa & 0xffff) - borrow;
+		borrow = (y & 0x10000) >> 16;
+		z = (*xa++ >> 16) - borrow;
+		borrow = (z & 0x10000) >> 16;
+		Storeinc(xc, z, y);
+		}
+#else
+	do {
+		y = *xa++ - *xb++ - borrow;
+		borrow = (y & 0x10000) >> 16;
+		*xc++ = y & 0xffff;
+		}
+		while(xb < xbe);
+	while(xa < xae) {
+		y = *xa++ - borrow;
+		borrow = (y & 0x10000) >> 16;
+		*xc++ = y & 0xffff;
+		}
+#endif
+#endif
+	while(!*--xc)
+		wa--;
+	c->wds = wa;
+	return c;
+	}
+
+ double
+b2d
+#ifdef KR_headers
+	(a, e) Bigint *a; int *e;
+#else
+	(Bigint *a, int *e)
+#endif
+{
+	ULong *xa, *xa0, w, y, z;
+	int k;
+	U d;
+#ifdef VAX
+	ULong d0, d1;
+#else
+#define d0 word0(&d)
+#define d1 word1(&d)
+#endif
+
+	xa0 = a->x;
+	xa = xa0 + a->wds;
+	y = *--xa;
+#ifdef DEBUG
+	if (!y) Bug("zero y in b2d");
+#endif
+	k = hi0bits(y);
+	*e = 32 - k;
+#ifdef Pack_32
+	if (k < Ebits) {
+		d0 = Exp_1 | y >> (Ebits - k);
+		w = xa > xa0 ? *--xa : 0;
+		d1 = y << ((32-Ebits) + k) | w >> (Ebits - k);
+		goto ret_d;
+		}
+	z = xa > xa0 ? *--xa : 0;
+	if (k -= Ebits) {
+		d0 = Exp_1 | y << k | z >> (32 - k);
+		y = xa > xa0 ? *--xa : 0;
+		d1 = z << k | y >> (32 - k);
+		}
+	else {
+		d0 = Exp_1 | y;
+		d1 = z;
+		}
+#else
+	if (k < Ebits + 16) {
+		z = xa > xa0 ? *--xa : 0;
+		d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;
+		w = xa > xa0 ? *--xa : 0;
+		y = xa > xa0 ? *--xa : 0;
+		d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;
+		goto ret_d;
+		}
+	z = xa > xa0 ? *--xa : 0;
+	w = xa > xa0 ? *--xa : 0;
+	k -= Ebits + 16;
+	d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;
+	y = xa > xa0 ? *--xa : 0;
+	d1 = w << k + 16 | y << k;
+#endif
+ ret_d:
+#ifdef VAX
+	word0(&d) = d0 >> 16 | d0 << 16;
+	word1(&d) = d1 >> 16 | d1 << 16;
+#endif
+	return dval(&d);
+	}
+#undef d0
+#undef d1
+
+ Bigint *
+d2b
+#ifdef KR_headers
+	(dd, e, bits) double dd; int *e, *bits;
+#else
+	(double dd, int *e, int *bits)
+#endif
+{
+	Bigint *b;
+	U d;
+#ifndef Sudden_Underflow
+	int i;
+#endif
+	int de, k;
+	ULong *x, y, z;
+#ifdef VAX
+	ULong d0, d1;
+#else
+#define d0 word0(&d)
+#define d1 word1(&d)
+#endif
+	d.d = dd;
+#ifdef VAX
+	d0 = word0(&d) >> 16 | word0(&d) << 16;
+	d1 = word1(&d) >> 16 | word1(&d) << 16;
+#endif
+
+#ifdef Pack_32
+	b = Balloc(1);
+#else
+	b = Balloc(2);
+#endif
+	if (b == NULL)
+		return (NULL);
+	x = b->x;
+
+	z = d0 & Frac_mask;
+	d0 &= 0x7fffffff;	/* clear sign bit, which we ignore */
+#ifdef Sudden_Underflow
+	de = (int)(d0 >> Exp_shift);
+#ifndef IBM
+	z |= Exp_msk11;
+#endif
+#else
+	if ( (de = (int)(d0 >> Exp_shift)) !=0)
+		z |= Exp_msk1;
+#endif
+#ifdef Pack_32
+	if ( (y = d1) !=0) {
+		if ( (k = lo0bits(&y)) !=0) {
+			x[0] = y | z << (32 - k);
+			z >>= k;
+			}
+		else
+			x[0] = y;
+#ifndef Sudden_Underflow
+		i =
+#endif
+		     b->wds = (x[1] = z) !=0 ? 2 : 1;
+		}
+	else {
+		k = lo0bits(&z);
+		x[0] = z;
+#ifndef Sudden_Underflow
+		i =
+#endif
+		    b->wds = 1;
+		k += 32;
+		}
+#else
+	if ( (y = d1) !=0) {
+		if ( (k = lo0bits(&y)) !=0)
+			if (k >= 16) {
+				x[0] = y | z << 32 - k & 0xffff;
+				x[1] = z >> k - 16 & 0xffff;
+				x[2] = z >> k;
+				i = 2;
+				}
+			else {
+				x[0] = y & 0xffff;
+				x[1] = y >> 16 | z << 16 - k & 0xffff;
+				x[2] = z >> k & 0xffff;
+				x[3] = z >> k+16;
+				i = 3;
+				}
+		else {
+			x[0] = y & 0xffff;
+			x[1] = y >> 16;
+			x[2] = z & 0xffff;
+			x[3] = z >> 16;
+			i = 3;
+			}
+		}
+	else {
+#ifdef DEBUG
+		if (!z)
+			Bug("Zero passed to d2b");
+#endif
+		k = lo0bits(&z);
+		if (k >= 16) {
+			x[0] = z;
+			i = 0;
+			}
+		else {
+			x[0] = z & 0xffff;
+			x[1] = z >> 16;
+			i = 1;
+			}
+		k += 32;
+		}
+	while(!x[i])
+		--i;
+	b->wds = i + 1;
+#endif
+#ifndef Sudden_Underflow
+	if (de) {
+#endif
+#ifdef IBM
+		*e = (de - Bias - (P-1) << 2) + k;
+		*bits = 4*P + 8 - k - hi0bits(word0(&d) & Frac_mask);
+#else
+		*e = de - Bias - (P-1) + k;
+		*bits = P - k;
+#endif
+#ifndef Sudden_Underflow
+		}
+	else {
+		*e = de - Bias - (P-1) + 1 + k;
+#ifdef Pack_32
+		*bits = 32*i - hi0bits(x[i-1]);
+#else
+		*bits = (i+2)*16 - hi0bits(x[i]);
+#endif
+		}
+#endif
+	return b;
+	}
+#undef d0
+#undef d1
+
+ CONST double
+#ifdef IEEE_Arith
+bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
+CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256
+		};
+#else
+#ifdef IBM
+bigtens[] = { 1e16, 1e32, 1e64 };
+CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };
+#else
+bigtens[] = { 1e16, 1e32 };
+CONST double tinytens[] = { 1e-16, 1e-32 };
+#endif
+#endif
+
+ CONST double
+tens[] = {
+		1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
+		1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
+		1e20, 1e21, 1e22
+#ifdef VAX
+		, 1e23, 1e24
+#endif
+		};
+
+#ifdef NO_STRING_H
+
+ char *
+#ifdef KR_headers
+strcp_D2A(a, b) char *a; char *b;
+#else
+strcp_D2A(char *a, CONST char *b)
+#endif
+{
+	while((*a = *b++))
+		a++;
+	return a;
+	}
+
+ Char *
+#ifdef KR_headers
+memcpy_D2A(a, b, len) Char *a; Char *b; size_t len;
+#else
+memcpy_D2A(void *a1, void *b1, size_t len)
+#endif
+{
+	char *a = (char*)a1, *ae = a + len;
+	char *b = (char*)b1, *a0 = a;
+	while(a < ae)
+		*a++ = *b++;
+	return a0;
+	}
+
+#endif /* NO_STRING_H */
diff --git a/newlib/libc/stdlib/gdtoa.h b/newlib/libc/stdlib/gdtoa.h
index 07506aac1..4f26d8857 100644
--- a/newlib/libc/stdlib/gdtoa.h
+++ b/newlib/libc/stdlib/gdtoa.h
@@ -32,25 +32,61 @@ THIS SOFTWARE.
 #ifndef GDTOA_H_INCLUDED
 #define GDTOA_H_INCLUDED
 
+#include "arith.h"
+#include <stddef.h> /* for size_t */
+
+#define PROTO_NORMAL(x)
+#define __BEGIN_HIDDEN_DECLS
+#define __END_HIDDEN_DECLS
+#define DEF_STRONG(x)
+
+#ifndef Long
+#define Long int
+#endif
+#ifndef ULong
+typedef unsigned Long ULong;
+#endif
+#ifndef UShort
+typedef unsigned short UShort;
+#endif
+
+#ifndef ANSI
+#ifdef KR_headers
+#define ANSI(x) ()
+#define Void /*nothing*/
+#else
+#define ANSI(x) x
+#define Void void
+#endif
+#endif /* ANSI */
+
+#ifndef CONST
+#ifdef KR_headers
+#define CONST /* blank */
+#else
+#define CONST const
+#endif
+#endif /* CONST */
 
  enum {	/* return values from strtodg */
-	STRTOG_Zero	= 0,
-	STRTOG_Normal	= 1,
-	STRTOG_Denormal	= 2,
-	STRTOG_Infinite	= 3,
-	STRTOG_NaN	= 4,
-	STRTOG_NaNbits	= 5,
-	STRTOG_NoNumber	= 6,
-	STRTOG_Retmask	= 7,
+	STRTOG_Zero	= 0x000,
+	STRTOG_Normal	= 0x001,
+	STRTOG_Denormal	= 0x002,
+	STRTOG_Infinite	= 0x003,
+	STRTOG_NaN	= 0x004,
+	STRTOG_NaNbits	= 0x005,
+	STRTOG_NoNumber	= 0x006,
+	STRTOG_NoMemory = 0x007,
+	STRTOG_Retmask	= 0x00f,
 
 	/* The following may be or-ed into one of the above values. */
 
-	STRTOG_Neg	= 0x08,
-	STRTOG_Inexlo	= 0x10,
-	STRTOG_Inexhi	= 0x20,
-	STRTOG_Inexact	= 0x30,
-	STRTOG_Underflow= 0x40,
-	STRTOG_Overflow	= 0x80
+	STRTOG_Inexlo	= 0x010, /* returned result rounded toward zero */
+	STRTOG_Inexhi	= 0x020, /* returned result rounded away from zero */
+	STRTOG_Inexact	= 0x030,
+	STRTOG_Underflow= 0x040,
+	STRTOG_Overflow	= 0x080,
+	STRTOG_Neg	= 0x100 /* does not affect STRTOG_Inexlo or STRTOG_Inexhi */
 	};
 
  typedef struct
@@ -69,6 +105,70 @@ enum {	/* FPI.rounding values: same as FLT_ROUNDS */
 	FPI_Round_down = 3
 	};
 
-#endif /* GDTOA_H_INCLUDED */
-
 typedef unsigned short __UShort;
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+extern char* __dtoa  ANSI((double d, int mode, int ndigits, int *decpt,
+			int *sign, char **rve));
+extern char* __gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp,
+			int mode, int ndigits, int *decpt, char **rve));
+extern void __freedtoa ANSI((char*));
+extern float  strtof ANSI((CONST char *, char **));
+extern double strtod ANSI((CONST char *, char **));
+extern int __strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*));
+char	*__hdtoa(double, const char *, int, int *, int *, char **);
+char	*__hldtoa(long double, const char *, int, int *, int *, char **);
+char	*__ldtoa(long double *, int, int, int *, int *, char **);
+
+PROTO_NORMAL(__dtoa);
+PROTO_NORMAL(__gdtoa);
+PROTO_NORMAL(__freedtoa);
+PROTO_NORMAL(__hdtoa);
+PROTO_NORMAL(__hldtoa);
+PROTO_NORMAL(__ldtoa);
+
+__BEGIN_HIDDEN_DECLS
+extern char*	__g_ddfmt  ANSI((char*, double*, int, size_t));
+extern char*	__g_dfmt   ANSI((char*, double*, int, size_t));
+extern char*	__g_ffmt   ANSI((char*, float*,  int, size_t));
+extern char*	__g_Qfmt   ANSI((char*, void*,   int, size_t));
+extern char*	__g_xfmt   ANSI((char*, void*,   int, size_t));
+extern char*	__g_xLfmt  ANSI((char*, void*,   int, size_t));
+
+extern int	__strtoId  ANSI((CONST char*, char**, double*, double*));
+extern int	__strtoIdd ANSI((CONST char*, char**, double*, double*));
+extern int	__strtoIf  ANSI((CONST char*, char**, float*, float*));
+extern int	__strtoIQ  ANSI((CONST char*, char**, void*, void*));
+extern int	__strtoIx  ANSI((CONST char*, char**, void*, void*));
+extern int	__strtoIxL ANSI((CONST char*, char**, void*, void*));
+extern int	__strtord  ANSI((CONST char*, char**, int, double*));
+extern int	__strtordd ANSI((CONST char*, char**, int, double*));
+extern int	__strtorf  ANSI((CONST char*, char**, int, float*));
+extern int	__strtorQ  ANSI((CONST char*, char**, int, void*));
+extern int	__strtorx  ANSI((CONST char*, char**, int, void*));
+extern int	__strtorxL ANSI((CONST char*, char**, int, void*));
+#if 1
+extern int	__strtodI  ANSI((CONST char*, char**, double*));
+extern int	__strtopd  ANSI((CONST char*, char**, double*));
+extern int	__strtopdd ANSI((CONST char*, char**, double*));
+extern int	__strtopf  ANSI((CONST char*, char**, float*));
+extern int	__strtopQ  ANSI((CONST char*, char**, void*));
+extern int	__strtopx  ANSI((CONST char*, char**, void*));
+extern int	__strtopxL ANSI((CONST char*, char**, void*));
+#else
+#define __strtopd(s,se,x) strtord(s,se,1,x)
+#define __strtopdd(s,se,x) strtordd(s,se,1,x)
+#define __strtopf(s,se,x) strtorf(s,se,1,x)
+#define __strtopQ(s,se,x) strtorQ(s,se,1,x)
+#define __strtopx(s,se,x) strtorx(s,se,1,x)
+#define __strtopxL(s,se,x) strtorxL(s,se,1,x)
+#endif
+__END_HIDDEN_DECLS
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* GDTOA_H_INCLUDED */
diff --git a/newlib/libc/stdlib/gdtoaimp.h b/newlib/libc/stdlib/gdtoaimp.h
new file mode 100644
index 000000000..bf9770955
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoaimp.h
@@ -0,0 +1,672 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998-2000 by Lucent Technologies
+All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and
+its documentation for any purpose and without fee is hereby
+granted, provided that the above copyright notice appear in all
+copies and that both that the copyright notice and this
+permission notice and warranty disclaimer appear in supporting
+documentation, and that the name of Lucent or any of its entities
+not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
+SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
+IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
+THIS SOFTWARE.
+
+****************************************************************/
+
+/* This is a variation on dtoa.c that converts arbitary binary
+   floating-point formats to and from decimal notation.  It uses
+   double-precision arithmetic internally, so there are still
+   various #ifdefs that adapt the calculations to the native
+   double-precision arithmetic (any of IEEE, VAX D_floating,
+   or IBM mainframe arithmetic).
+
+   Please send bug reports to David M. Gay (dmg at acm dot org,
+   with " at " changed at "@" and " dot " changed to ".").
+ */
+
+/* On a machine with IEEE extended-precision registers, it is
+ * necessary to specify double-precision (53-bit) rounding precision
+ * before invoking strtod or dtoa.  If the machine uses (the equivalent
+ * of) Intel 80x87 arithmetic, the call
+ *	_control87(PC_53, MCW_PC);
+ * does this with many compilers.  Whether this or another call is
+ * appropriate depends on the compiler; for this to work, it may be
+ * necessary to #include "float.h" or another system-dependent header
+ * file.
+ */
+
+/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
+ *
+ * This strtod returns a nearest machine number to the input decimal
+ * string (or sets errno to ERANGE).  With IEEE arithmetic, ties are
+ * broken by the IEEE round-even rule.  Otherwise ties are broken by
+ * biased rounding (add half and chop).
+ *
+ * Inspired loosely by William D. Clinger's paper "How to Read Floating
+ * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
+ *
+ * Modifications:
+ *
+ *	1. We only require IEEE, IBM, or VAX double-precision
+ *		arithmetic (not IEEE double-extended).
+ *	2. We get by with floating-point arithmetic in a case that
+ *		Clinger missed -- when we're computing d * 10^n
+ *		for a small integer d and the integer n is not too
+ *		much larger than 22 (the maximum integer k for which
+ *		we can represent 10^k exactly), we may be able to
+ *		compute (d*10^k) * 10^(e-k) with just one roundoff.
+ *	3. Rather than a bit-at-a-time adjustment of the binary
+ *		result in the hard case, we use floating-point
+ *		arithmetic to determine the adjustment to within
+ *		one bit; only in really hard cases do we need to
+ *		compute a second residual.
+ *	4. Because of 3., we don't need a large table of powers of 10
+ *		for ten-to-e (just some small tables, e.g. of 10^k
+ *		for 0 <= k <= 22).
+ */
+
+/*
+ * #define IEEE_8087 for IEEE-arithmetic machines where the least
+ *	significant byte has the lowest address.
+ * #define IEEE_MC68k for IEEE-arithmetic machines where the most
+ *	significant byte has the lowest address.
+ * #define Long int on machines with 32-bit ints and 64-bit longs.
+ * #define Sudden_Underflow for IEEE-format machines without gradual
+ *	underflow (i.e., that flush to zero on underflow).
+ * #define IBM for IBM mainframe-style floating-point arithmetic.
+ * #define VAX for VAX-style floating-point arithmetic (D_floating).
+ * #define No_leftright to omit left-right logic in fast floating-point
+ *	computation of dtoa and gdtoa.  This will cause modes 4 and 5 to be
+ *	treated the same as modes 2 and 3 for some inputs.
+ * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
+ * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
+ *	that use extended-precision instructions to compute rounded
+ *	products and quotients) with IBM.
+ * #define ROUND_BIASED for IEEE-format with biased rounding and arithmetic
+ *	that rounds toward +Infinity.
+ * #define ROUND_BIASED_without_Round_Up for IEEE-format with biased
+ *	rounding when the underlying floating-point arithmetic uses
+ *	unbiased rounding.  This prevent using ordinary floating-point
+ *	arithmetic when the result could be computed with one rounding error.
+ * #define Inaccurate_Divide for IEEE-format with correctly rounded
+ *	products but inaccurate quotients, e.g., for Intel i860.
+ * #define NO_LONG_LONG on machines that do not have a "long long"
+ *	integer type (of >= 64 bits).  On such machines, you can
+ *	#define Just_16 to store 16 bits per 32-bit Long when doing
+ *	high-precision integer arithmetic.  Whether this speeds things
+ *	up or slows things down depends on the machine and the number
+ *	being converted.  If long long is available and the name is
+ *	something other than "long long", #define Llong to be the name,
+ *	and if "unsigned Llong" does not work as an unsigned version of
+ *	Llong, #define #ULLong to be the corresponding unsigned type.
+ * #define KR_headers for old-style C function headers.
+ * #define Bad_float_h if your system lacks a float.h or if it does not
+ *	define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
+ *	FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
+ * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
+ *	if memory is available and otherwise does something you deem
+ *	appropriate.  If MALLOC is undefined, malloc will be invoked
+ *	directly -- and assumed always to succeed.  Similarly, if you
+ *	want something other than the system's free() to be called to
+ *	recycle memory acquired from MALLOC, #define FREE to be the
+ *	name of the alternate routine.  (FREE or free is only called in
+ *	pathological cases, e.g., in a gdtoa call after a gdtoa return in
+ *	mode 3 with thousands of digits requested.)
+ * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
+ *	memory allocations from a private pool of memory when possible.
+ *	When used, the private pool is PRIVATE_MEM bytes long:  2304 bytes,
+ *	unless #defined to be a different length.  This default length
+ *	suffices to get rid of MALLOC calls except for unusual cases,
+ *	such as decimal-to-binary conversion of a very long string of
+ *	digits.  When converting IEEE double precision values, the
+ *	longest string gdtoa can return is about 751 bytes long.  For
+ *	conversions by strtod of strings of 800 digits and all gdtoa
+ *	conversions of IEEE doubles in single-threaded executions with
+ *	8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
+ *	4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
+ * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
+ *	#defined automatically on IEEE systems.  On such systems,
+ *	when INFNAN_CHECK is #defined, strtod checks
+ *	for Infinity and NaN (case insensitively).
+ *	When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
+ *	strtodg also accepts (case insensitively) strings of the form
+ *	NaN(x), where x is a string of hexadecimal digits (optionally
+ *	preceded by 0x or 0X) and spaces; if there is only one string
+ *	of hexadecimal digits, it is taken for the fraction bits of the
+ *	resulting NaN; if there are two or more strings of hexadecimal
+ *	digits, each string is assigned to the next available sequence
+ *	of 32-bit words of fractions bits (starting with the most
+ *	significant), right-aligned in each sequence.
+ *	Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)"
+ *	is consumed even when ... has the wrong form (in which case the
+ *	"(...)" is consumed but ignored).
+ * #define MULTIPLE_THREADS if the system offers preemptively scheduled
+ *	multiple threads.  In this case, you must provide (or suitably
+ *	#define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
+ *	by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
+ *	in pow5mult, ensures lazy evaluation of only one copy of high
+ *	powers of 5; omitting this lock would introduce a small
+ *	probability of wasting memory, but would otherwise be harmless.)
+ *	You must also invoke freedtoa(s) to free the value s returned by
+ *	dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
+ * #define IMPRECISE_INEXACT if you do not care about the setting of
+ *	the STRTOG_Inexact bits in the special case of doing IEEE double
+ *	precision conversions (which could also be done by the strtod in
+ *	dtoa.c).
+ * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
+ *	floating-point constants.
+ * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
+ *	strtodg.c).
+ * #define NO_STRING_H to use private versions of memcpy.
+ *	On some K&R systems, it may also be necessary to
+ *	#define DECLARE_SIZE_T in this case.
+ * #define USE_LOCALE to use the current locale's decimal_point value.
+ */
+
+#ifndef GDTOAIMP_H_INCLUDED
+#define GDTOAIMP_H_INCLUDED
+#include "gdtoa.h"
+#if 0
+#include "gd_qnan.h"
+#endif
+#ifdef Honor_FLT_ROUNDS
+#include <fenv.h>
+#endif
+
+#ifdef DEBUG
+#include "stdio.h"
+#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
+#endif
+
+#include "stdlib.h"
+#include "string.h"
+
+#ifdef KR_headers
+#define Char char
+#else
+#define Char void
+#endif
+
+#ifdef MALLOC
+extern Char *MALLOC ANSI((size_t));
+#else
+#define MALLOC(x) _malloc_r(_REENT, x)
+#endif
+#define FREE(x) _free_r(_REENT, x)
+
+#undef IEEE_Arith
+#undef Avoid_Underflow
+#ifdef IEEE_MC68k
+#define IEEE_Arith
+#endif
+#ifdef IEEE_8087
+#define IEEE_Arith
+#endif
+
+#include "errno.h"
+#ifdef Bad_float_h
+
+#ifdef IEEE_Arith
+#define DBL_DIG 15
+#define DBL_MAX_10_EXP 308
+#define DBL_MAX_EXP 1024
+#define FLT_RADIX 2
+#define DBL_MAX 1.7976931348623157e+308
+#endif
+
+#ifdef IBM
+#define DBL_DIG 16
+#define DBL_MAX_10_EXP 75
+#define DBL_MAX_EXP 63
+#define FLT_RADIX 16
+#define DBL_MAX 7.2370055773322621e+75
+#endif
+
+#ifdef VAX
+#define DBL_DIG 16
+#define DBL_MAX_10_EXP 38
+#define DBL_MAX_EXP 127
+#define FLT_RADIX 2
+#define DBL_MAX 1.7014118346046923e+38
+#define n_bigtens 2
+#endif
+
+#ifndef LONG_MAX
+#define LONG_MAX 2147483647
+#endif
+
+#else /* ifndef Bad_float_h */
+#include "float.h"
+#endif /* Bad_float_h */
+
+#ifdef IEEE_Arith
+#define Scale_Bit 0x10
+#define n_bigtens 5
+#endif
+
+#ifdef IBM
+#define n_bigtens 3
+#endif
+
+#ifdef VAX
+#define n_bigtens 2
+#endif
+
+#ifndef __MATH_H__
+#include "math.h"
+#endif
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
+Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
+#endif
+
+typedef union { double d; ULong L[2]; } U;
+
+#ifdef IEEE_8087
+#define word0(x) (x)->L[1]
+#define word1(x) (x)->L[0]
+#else
+#define word0(x) (x)->L[0]
+#define word1(x) (x)->L[1]
+#endif
+#define dval(x) (x)->d
+
+/* The following definition of Storeinc is appropriate for MIPS processors.
+ * An alternative that might be better on some machines is
+ * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
+ */
+#if defined(IEEE_8087) + defined(VAX)
+#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
+((unsigned short *)a)[0] = (unsigned short)c, a++)
+#else
+#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
+((unsigned short *)a)[1] = (unsigned short)c, a++)
+#endif
+
+/* #define P DBL_MANT_DIG */
+/* Ten_pmax = floor(P*log(2)/log(5)) */
+/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
+/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
+/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
+
+#ifdef IEEE_Arith
+#define Exp_shift  20
+#define Exp_shift1 20
+#define Exp_msk1    0x100000
+#define Exp_msk11   0x100000
+#define Exp_mask  0x7ff00000
+#define P 53
+#define Bias 1023
+#define Emin (-1022)
+#define Exp_1  0x3ff00000
+#define Exp_11 0x3ff00000
+#define Ebits 11
+#define Frac_mask  0xfffff
+#define Frac_mask1 0xfffff
+#define Ten_pmax 22
+#define Bletch 0x10
+#define Bndry_mask  0xfffff
+#define Bndry_mask1 0xfffff
+#define LSB 1
+#define Sign_bit 0x80000000
+#define Log2P 1
+#define Tiny0 0
+#define Tiny1 1
+#define Quick_max 14
+#define Int_max 14
+
+#ifndef Flt_Rounds
+#ifdef FLT_ROUNDS
+#define Flt_Rounds FLT_ROUNDS
+#else
+#define Flt_Rounds 1
+#endif
+#endif /*Flt_Rounds*/
+
+#else /* ifndef IEEE_Arith */
+#undef  Sudden_Underflow
+#define Sudden_Underflow
+#ifdef IBM
+#undef Flt_Rounds
+#define Flt_Rounds 0
+#define Exp_shift  24
+#define Exp_shift1 24
+#define Exp_msk1   0x1000000
+#define Exp_msk11  0x1000000
+#define Exp_mask  0x7f000000
+#define P 14
+#define Bias 65
+#define Exp_1  0x41000000
+#define Exp_11 0x41000000
+#define Ebits 8	/* exponent has 7 bits, but 8 is the right value in b2d */
+#define Frac_mask  0xffffff
+#define Frac_mask1 0xffffff
+#define Bletch 4
+#define Ten_pmax 22
+#define Bndry_mask  0xefffff
+#define Bndry_mask1 0xffffff
+#define LSB 1
+#define Sign_bit 0x80000000
+#define Log2P 4
+#define Tiny0 0x100000
+#define Tiny1 0
+#define Quick_max 14
+#define Int_max 15
+#else /* VAX */
+#undef Flt_Rounds
+#define Flt_Rounds 1
+#define Exp_shift  23
+#define Exp_shift1 7
+#define Exp_msk1    0x80
+#define Exp_msk11   0x800000
+#define Exp_mask  0x7f80
+#define P 56
+#define Bias 129
+#define Emin (-127)
+#define Exp_1  0x40800000
+#define Exp_11 0x4080
+#define Ebits 8
+#define Frac_mask  0x7fffff
+#define Frac_mask1 0xffff007f
+#define Ten_pmax 24
+#define Bletch 2
+#define Bndry_mask  0xffff007f
+#define Bndry_mask1 0xffff007f
+#define LSB 0x10000
+#define Sign_bit 0x8000
+#define Log2P 1
+#define Tiny0 0x80
+#define Tiny1 0
+#define Quick_max 15
+#define Int_max 15
+#endif /* IBM, VAX */
+#endif /* IEEE_Arith */
+
+#ifndef IEEE_Arith
+#define ROUND_BIASED
+#else
+#ifdef ROUND_BIASED_without_Round_Up
+#undef  ROUND_BIASED
+#define ROUND_BIASED
+#endif
+#endif
+
+#ifdef RND_PRODQUOT
+#define rounded_product(a,b) a = rnd_prod(a, b)
+#define rounded_quotient(a,b) a = rnd_quot(a, b)
+#ifdef KR_headers
+extern double rnd_prod(), rnd_quot();
+#else
+extern double rnd_prod(double, double), rnd_quot(double, double);
+#endif
+#else
+#define rounded_product(a,b) a *= b
+#define rounded_quotient(a,b) a /= b
+#endif
+
+#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
+#define Big1 0xffffffff
+
+#undef  Pack_16
+#ifndef Pack_32
+#define Pack_32
+#endif
+
+#ifdef NO_LONG_LONG
+#undef ULLong
+#ifdef Just_16
+#undef Pack_32
+#define Pack_16
+/* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
+ * This makes some inner loops simpler and sometimes saves work
+ * during multiplications, but it often seems to make things slightly
+ * slower.  Hence the default is now to store 32 bits per Long.
+ */
+#endif
+#else	/* long long available */
+#ifndef Llong
+#define Llong long long
+#endif
+#ifndef ULLong
+#define ULLong unsigned Llong
+#endif
+#endif /* NO_LONG_LONG */
+
+#ifdef Pack_32
+#define ULbits 32
+#define kshift 5
+#define kmask 31
+#define ALL_ON 0xffffffff
+#else
+#define ULbits 16
+#define kshift 4
+#define kmask 15
+#define ALL_ON 0xffff
+#endif
+
+#ifndef __SINGLE_THREAD__
+#define MULTIPLE_THREADS
+#endif
+
+#ifndef MULTIPLE_THREADS
+#define ACQUIRE_DTOA_LOCK(n)	/*nothing*/
+#define FREE_DTOA_LOCK(n)	/*nothing*/
+#else
+#include <sys/lock.h>
+#define ACQUIRE_DTOA_LOCK(n) \
+	n ? __lock_acquire(__dtoa_lock1) : __lock_acquire(__dtoa_lock0)
+#define FREE_DTOA_LOCK(n) \
+	n ? __lock_release(__dtoa_lock1) : __lock_release(__dtoa_lock0)
+#endif
+
+#define Kmax 9
+
+ struct
+Bigint {
+	struct Bigint *next;
+	int k, maxwds, sign, wds;
+	ULong x[1];
+	};
+
+ typedef struct Bigint Bigint;
+
+#ifdef NO_STRING_H
+#ifdef DECLARE_SIZE_T
+typedef unsigned int size_t;
+#endif
+extern void memcpy_D2A ANSI((void*, const void*, size_t));
+#define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
+#else /* !NO_STRING_H */
+#define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
+#endif /* NO_STRING_H */
+
+#define dtoa __dtoa
+#define gdtoa __gdtoa
+#define freedtoa __freedtoa
+#define strtodg __strtodg
+#define g_ddfmt __g_ddfmt
+#define g_dfmt __g_dfmt
+#define g_ffmt __g_ffmt
+#define g_Qfmt __g_Qfmt
+#define g_xfmt __g_xfmt
+#define g_xLfmt __g_xLfmt
+#define strtoId __strtoId
+#define strtoIdd __strtoIdd
+#define strtoIf __strtoIf
+#define strtoIQ __strtoIQ
+#define strtoIx __strtoIx
+#define strtoIxL __strtoIxL
+#define strtord __strtord
+#define strtordd __strtordd
+#define strtorf __strtorf
+#define strtorQ __strtorQ
+#define strtorx __strtorx
+#define strtorxL __strtorxL
+#define strtodI __strtodI
+#define strtopd __strtopd
+#define strtopdd __strtopdd
+#define strtopf __strtopf
+#define strtopQ __strtopQ
+#define strtopx __strtopx
+#define strtopxL __strtopxL
+
+#define Balloc __Balloc_D2A
+#define Bfree __Bfree_D2A
+#define ULtoQ __ULtoQ_D2A
+#define ULtof __ULtof_D2A
+#define ULtod __ULtod_D2A
+#define ULtodd __ULtodd_D2A
+#define ULtox __ULtox_D2A
+#define ULtoxL __ULtoxL_D2A
+#define any_on __any_on_D2A
+#define b2d __b2d_D2A
+#define bigtens __bigtens_D2A
+#define cmp __cmp_D2A
+#define copybits __copybits_D2A
+#define d2b __d2b_D2A
+#define decrement __decrement_D2A
+#define diff __diff_D2A
+#define dtoa_result __dtoa_result_D2A
+#define g__fmt __g__fmt_D2A
+#define gethex __gethex_D2A
+#define hexdig __hexdig_D2A
+#define hexnan __hexnan_D2A
+#define hi0bits(x) __hi0bits_D2A((ULong)(x))
+#define hi0bits_D2A __hi0bits_D2A
+#define i2b __i2b_D2A
+#define increment __increment_D2A
+#define lo0bits __lo0bits_D2A
+#define lshift __lshift_D2A
+#define match __match_D2A
+#define mult __mult_D2A
+#define multadd __multadd_D2A
+#define nrv_alloc __nrv_alloc_D2A
+#define pow5mult __pow5mult_D2A
+#define quorem __quorem_D2A
+#define ratio __ratio_D2A
+#define rshift __rshift_D2A
+#define rv_alloc __rv_alloc_D2A
+#define s2b __s2b_D2A
+#define set_ones __set_ones_D2A
+#define strcp __strcp_D2A
+#define strtoIg __strtoIg_D2A
+#define sulp __sulp_D2A
+#define sum __sum_D2A
+#define tens __tens_D2A
+#define tinytens __tinytens_D2A
+#define tinytens __tinytens_D2A
+#define trailz __trailz_D2A
+#define ulp __ulp_D2A
+
+__BEGIN_HIDDEN_DECLS
+ extern char *dtoa_result;
+ extern CONST double bigtens[], tens[], tinytens[];
+ extern unsigned char hexdig[];
+
+ extern Bigint *Balloc ANSI((int));
+ extern void Bfree ANSI((Bigint*));
+ extern void ULtof ANSI((ULong*, ULong*, Long, int));
+ extern void ULtod ANSI((ULong*, ULong*, Long, int));
+ extern void ULtodd ANSI((ULong*, ULong*, Long, int));
+ extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
+ extern void ULtox ANSI((UShort*, ULong*, Long, int));
+ extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
+ extern ULong any_on ANSI((Bigint*, int));
+ extern double b2d ANSI((Bigint*, int*));
+ extern int cmp ANSI((Bigint*, Bigint*));
+ extern void copybits ANSI((ULong*, int, Bigint*));
+ extern Bigint *d2b ANSI((double, int*, int*));
+ extern void decrement ANSI((Bigint*));
+ extern Bigint *diff ANSI((Bigint*, Bigint*));
+ extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
+ extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
+ extern void __hexdig_init_D2A(Void);
+ extern int hexnan ANSI((CONST char**, FPI*, ULong*));
+ extern int hi0bits_D2A ANSI((ULong));
+ extern Bigint *i2b ANSI((int));
+ extern Bigint *increment ANSI((Bigint*));
+ extern int lo0bits ANSI((ULong*));
+ extern Bigint *lshift ANSI((Bigint*, int));
+ extern int match ANSI((CONST char**, char*));
+ extern Bigint *mult ANSI((Bigint*, Bigint*));
+ extern Bigint *multadd ANSI((Bigint*, int, int));
+ extern char *nrv_alloc ANSI((char*, char **, int));
+ extern Bigint *pow5mult ANSI((Bigint*, int));
+ extern int quorem ANSI((Bigint*, Bigint*));
+ extern double ratio ANSI((Bigint*, Bigint*));
+ extern void rshift ANSI((Bigint*, int));
+ extern char *rv_alloc ANSI((int));
+ extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int));
+ extern Bigint *set_ones ANSI((Bigint*, int));
+ extern char *strcp ANSI((char*, const char*));
+ extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
+ extern Bigint *sum ANSI((Bigint*, Bigint*));
+ extern int trailz ANSI((Bigint*));
+ extern double ulp ANSI((U*));
+__END_HIDDEN_DECLS
+
+#ifdef __cplusplus
+}
+#endif
+/*
+ * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
+ * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
+ * respectively), but now are determined by compiling and running
+ * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
+ * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
+ * and -DNAN_WORD1=...  values if necessary.  This should still work.
+ * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
+ */
+#ifdef IEEE_Arith
+#ifndef NO_INFNAN_CHECK
+#undef INFNAN_CHECK
+#define INFNAN_CHECK
+#endif
+#ifdef IEEE_MC68k
+#define _0 0
+#define _1 1
+#ifndef NAN_WORD0
+#define NAN_WORD0 d_QNAN0
+#endif
+#ifndef NAN_WORD1
+#define NAN_WORD1 d_QNAN1
+#endif
+#else
+#define _0 1
+#define _1 0
+#ifndef NAN_WORD0
+#define NAN_WORD0 d_QNAN1
+#endif
+#ifndef NAN_WORD1
+#define NAN_WORD1 d_QNAN0
+#endif
+#endif
+#else
+#undef INFNAN_CHECK
+#endif
+
+#undef SI
+#ifdef Sudden_Underflow
+#define SI 1
+#else
+#define SI 0
+#endif
+
+#endif /* GDTOAIMP_H_INCLUDED */
diff --git a/newlib/libc/stdlib/ldtoa.c b/newlib/libc/stdlib/ldtoa.c
index 26c61948b..fbbd3d0b1 100644
--- a/newlib/libc/stdlib/ldtoa.c
+++ b/newlib/libc/stdlib/ldtoa.c
@@ -7,6 +7,7 @@
 #include <string.h>
 #include <stdlib.h>
 #include "mprec.h"
+#include "gdtoa.h"
 
 /* These are the externally visible entries. */
 /* linux name:  long double _IO_strtold (char *, char **); */
@@ -2814,6 +2815,12 @@ _ldtoa_r (struct _reent *ptr, long double d, int mode, int ndigits,
       _REENT_MP_RESULT (ptr) = 0;
     }
 
+  /* Use the result of gdtoa if successfull. */
+  outstr = __ldtoa (&d, mode, ndigits, decpt, sign, rve);
+  /* If it fails, fallback to legacy ldtoa. */
+  if (outstr)
+    return outstr;
+
 #if LDBL_MANT_DIG == 24
   e24toe (&du.pe, e, ldp);
 #elif LDBL_MANT_DIG == 53
-- 
2.33.0


  reply	other threads:[~2021-11-29 10:57 UTC|newest]

Thread overview: 25+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
     [not found] <CAL9Mx1uMOz2wfqbMpD_xfA=D9JkpFzVz6AR_DKHK34AvrGOP6w@mail.gmail.com>
2021-11-03 21:26 ` Fwd: " Pavel M
2021-11-04 12:24   ` Corinna Vinschen
2021-11-04 16:48     ` Keith Packard
2021-11-04 17:27       ` Dave Nadler
2021-11-04 17:58         ` Keith Packard
2021-11-04 21:28           ` Brian Inglis
2021-11-05  2:54             ` Keith Packard
2021-11-05 16:00               ` Steven Abner
2021-11-06 12:06                 ` Steven Abner
2021-11-06 23:25                   ` Steven Abner
2021-11-08  9:57               ` Corinna Vinschen
2021-11-04 20:57       ` Corinna Vinschen
2021-11-28  7:43     ` Takashi Yano
2021-11-28 12:38       ` Takashi Yano
2021-11-28 13:16         ` Takashi Yano
2021-11-29 10:56           ` Takashi Yano [this message]
2021-11-29 14:24             ` Takashi Yano
2021-11-29 15:55               ` Corinna Vinschen
2021-11-30 10:51                 ` Takashi Yano
2021-11-30 15:09                   ` Corinna Vinschen
2021-11-30 20:38                     ` Takashi Yano
2021-11-30 21:17                       ` Takashi Yano
2021-12-06  9:53                         ` Corinna Vinschen
2021-12-06 10:26                           ` Takashi Yano
2021-12-01 12:05                     ` Takashi Yano

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