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authorJeff Johnston <jjohnstn@redhat.com>2006-06-22 21:59:52 +0400
committerJeff Johnston <jjohnstn@redhat.com>2006-06-22 21:59:52 +0400
commitf489b5943c8f8655b0a3caddd38114111576ab35 (patch)
treee5db470212203f6eb28752047e58cb287418bc1b /newlib/libc/stdlib
parent09fd280ca40c0b1211d3e8b31c3a813150c57c6b (diff)
2006-06-22 Jeff Johnston <jjohnstn@redhat.com>
* libc/stdlib/Makefile.am: Add new gdtoa routines. * libc/stdlib/Makefile.in: Regenerated. * libc/stdlib/gd_qnan.h: New file. * libc/stdlib/gdtoa-gethex.c: Ditto. * libc/stdlib/gdtoa-hexnan.c: Ditto. * libc/stdlib/gdtoa.h: Ditto. * libc/stdlib/mprec.c: Add new helper routines needed by the new gdtoa code. * libc/stdlib/mprec.h: Integrate some defines and prototypes used by gdtoa routines here. * libc/stdlib/strtod.c: Rebased on David M. Gay's gdtoa-strtod.c which adds C99 support such as nan, inf, and hexadecimal input format.
Diffstat (limited to 'newlib/libc/stdlib')
-rw-r--r--newlib/libc/stdlib/Makefile.am4
-rw-r--r--newlib/libc/stdlib/Makefile.in31
-rw-r--r--newlib/libc/stdlib/gd_qnan.h33
-rw-r--r--newlib/libc/stdlib/gdtoa-gethex.c351
-rw-r--r--newlib/libc/stdlib/gdtoa-hexnan.c142
-rw-r--r--newlib/libc/stdlib/gdtoa.h72
-rw-r--r--newlib/libc/stdlib/mprec.c58
-rw-r--r--newlib/libc/stdlib/mprec.h163
-rw-r--r--newlib/libc/stdlib/strtod.c1597
9 files changed, 1816 insertions, 635 deletions
diff --git a/newlib/libc/stdlib/Makefile.am b/newlib/libc/stdlib/Makefile.am
index fdc52e04e..0874729c5 100644
--- a/newlib/libc/stdlib/Makefile.am
+++ b/newlib/libc/stdlib/Makefile.am
@@ -27,6 +27,8 @@ GENERAL_SOURCES = \
envlock.c \
eprintf.c \
exit.c \
+ gdtoa-gethex.c \
+ gdtoa-hexnan.c \
getenv.c \
getenv_r.c \
labs.c \
@@ -256,6 +258,8 @@ $(lpfx)mbtowc_r.$(oext): mbtowc_r.c mbctype.h
$(lpfx)mprec.$(oext): mprec.c mprec.h
$(lpfx)strtod.$(oext): strtod.c mprec.h
+$(lpfx)gdtoa-gethex.$(oext): gdtoa-gethex.c mprec.h
+$(lpfx)gdtoa-hexnan.$(oext): gdtoa-hexnan.c mprec.h
$(lpfx)wctomb_r.$(oext): wctomb_r.c mbctype.h
$(lpfx)drand48.$(oext): drand48.c rand48.h
$(lpfx)erand48.$(oext): erand48.c rand48.h
diff --git a/newlib/libc/stdlib/Makefile.in b/newlib/libc/stdlib/Makefile.in
index 56f4a365f..0c6c5e75a 100644
--- a/newlib/libc/stdlib/Makefile.in
+++ b/newlib/libc/stdlib/Makefile.in
@@ -74,6 +74,7 @@ am__objects_1 = lib_a-__adjust.$(OBJEXT) lib_a-__atexit.$(OBJEXT) \
lib_a-dtoa.$(OBJEXT) lib_a-dtoastub.$(OBJEXT) \
lib_a-environ.$(OBJEXT) lib_a-envlock.$(OBJEXT) \
lib_a-eprintf.$(OBJEXT) lib_a-exit.$(OBJEXT) \
+ lib_a-gdtoa-gethex.$(OBJEXT) lib_a-gdtoa-hexnan.$(OBJEXT) \
lib_a-getenv.$(OBJEXT) lib_a-getenv_r.$(OBJEXT) \
lib_a-labs.$(OBJEXT) lib_a-ldiv.$(OBJEXT) \
lib_a-ldtoa.$(OBJEXT) lib_a-malloc.$(OBJEXT) \
@@ -124,12 +125,12 @@ LTLIBRARIES = $(noinst_LTLIBRARIES)
am__objects_7 = __adjust.lo __atexit.lo __call_atexit.lo __exp10.lo \
__ten_mu.lo _Exit.lo abort.lo abs.lo assert.lo atexit.lo \
atof.lo atoff.lo atoi.lo atol.lo calloc.lo div.lo dtoa.lo \
- dtoastub.lo environ.lo envlock.lo eprintf.lo exit.lo getenv.lo \
- getenv_r.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 rand.lo rand_r.lo realloc.lo \
- strtod.lo strtol.lo strtoul.lo wcstombs.lo wcstombs_r.lo \
- wctomb.lo wctomb_r.lo
+ dtoastub.lo environ.lo envlock.lo eprintf.lo exit.lo \
+ gdtoa-gethex.lo gdtoa-hexnan.lo getenv.lo getenv_r.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 rand.lo rand_r.lo realloc.lo strtod.lo strtol.lo \
+ strtoul.lo wcstombs.lo wcstombs_r.lo wctomb.lo wctomb_r.lo
am__objects_8 = 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 nrand48.lo rand48.lo seed48.lo \
@@ -249,6 +250,7 @@ PACKAGE_TARNAME = @PACKAGE_TARNAME@
PACKAGE_VERSION = @PACKAGE_VERSION@
PATH_SEPARATOR = @PATH_SEPARATOR@
RANLIB = @RANLIB@
+READELF = @READELF@
SET_MAKE = @SET_MAKE@
SHELL = @SHELL@
STRIP = @STRIP@
@@ -259,6 +261,7 @@ ac_ct_AR = @ac_ct_AR@
ac_ct_AS = @ac_ct_AS@
ac_ct_CC = @ac_ct_CC@
ac_ct_RANLIB = @ac_ct_RANLIB@
+ac_ct_READELF = @ac_ct_READELF@
ac_ct_STRIP = @ac_ct_STRIP@
aext = @aext@
am__fastdepCC_FALSE = @am__fastdepCC_FALSE@
@@ -329,6 +332,8 @@ GENERAL_SOURCES = \
envlock.c \
eprintf.c \
exit.c \
+ gdtoa-gethex.c \
+ gdtoa-hexnan.c \
getenv.c \
getenv_r.c \
labs.c \
@@ -685,6 +690,18 @@ lib_a-exit.o: exit.c
lib_a-exit.obj: exit.c
$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-exit.obj `if test -f 'exit.c'; then $(CYGPATH_W) 'exit.c'; else $(CYGPATH_W) '$(srcdir)/exit.c'; fi`
+lib_a-gdtoa-gethex.o: gdtoa-gethex.c
+ $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-gethex.o `test -f 'gdtoa-gethex.c' || echo '$(srcdir)/'`gdtoa-gethex.c
+
+lib_a-gdtoa-gethex.obj: gdtoa-gethex.c
+ $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-gethex.obj `if test -f 'gdtoa-gethex.c'; then $(CYGPATH_W) 'gdtoa-gethex.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-gethex.c'; fi`
+
+lib_a-gdtoa-hexnan.o: gdtoa-hexnan.c
+ $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-hexnan.o `test -f 'gdtoa-hexnan.c' || echo '$(srcdir)/'`gdtoa-hexnan.c
+
+lib_a-gdtoa-hexnan.obj: gdtoa-hexnan.c
+ $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-gdtoa-hexnan.obj `if test -f 'gdtoa-hexnan.c'; then $(CYGPATH_W) 'gdtoa-hexnan.c'; else $(CYGPATH_W) '$(srcdir)/gdtoa-hexnan.c'; fi`
+
lib_a-getenv.o: getenv.c
$(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(lib_a_CFLAGS) $(CFLAGS) -c -o lib_a-getenv.o `test -f 'getenv.c' || echo '$(srcdir)/'`getenv.c
@@ -1298,6 +1315,8 @@ $(lpfx)mbtowc_r.$(oext): mbtowc_r.c mbctype.h
$(lpfx)mprec.$(oext): mprec.c mprec.h
$(lpfx)strtod.$(oext): strtod.c mprec.h
+$(lpfx)gdtoa-gethex.$(oext): gdtoa-gethex.c mprec.h
+$(lpfx)gdtoa-hexnan.$(oext): gdtoa-hexnan.c mprec.h
$(lpfx)wctomb_r.$(oext): wctomb_r.c mbctype.h
$(lpfx)drand48.$(oext): drand48.c rand48.h
$(lpfx)erand48.$(oext): erand48.c rand48.h
diff --git a/newlib/libc/stdlib/gd_qnan.h b/newlib/libc/stdlib/gd_qnan.h
new file mode 100644
index 000000000..68f16cd12
--- /dev/null
+++ b/newlib/libc/stdlib/gd_qnan.h
@@ -0,0 +1,33 @@
+#ifdef __IEEE_BIG_ENDIAN
+
+#define f_QNAN 0x7fc00000
+#define d_QNAN0 0x7ff80000
+#define d_QNAN1 0x0
+#define ld_QNAN0 0x7ff80000
+#define ld_QNAN1 0x0
+#define ld_QNAN2 0x0
+#define ld_QNAN3 0x0
+#define ldus_QNAN0 0x7ff8
+#define ldus_QNAN1 0x0
+#define ldus_QNAN2 0x0
+#define ldus_QNAN3 0x0
+#define ldus_QNAN4 0x0
+
+#elif defined(__IEEE_LITTLE_ENDIAN)
+
+#define f_QNAN 0xffc00000
+#define d_QNAN0 0x0
+#define d_QNAN1 0xfff80000
+#define ld_QNAN0 0x0
+#define ld_QNAN1 0xc0000000
+#define ld_QNAN2 0xffff
+#define ld_QNAN3 0x0
+#define ldus_QNAN0 0x0
+#define ldus_QNAN1 0x0
+#define ldus_QNAN2 0x0
+#define ldus_QNAN3 0xc000
+#define ldus_QNAN4 0xffff
+
+#else
+#error IEEE endian not defined
+#endif
diff --git a/newlib/libc/stdlib/gdtoa-gethex.c b/newlib/libc/stdlib/gdtoa-gethex.c
new file mode 100644
index 000000000..92f30fca0
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-gethex.c
@@ -0,0 +1,351 @@
+/****************************************************************
+
+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 <_ansi.h>
+#include <reent.h>
+#include <string.h>
+#include "mprec.h"
+#include "gdtoa.h"
+#include "gd_qnan.h"
+
+#ifdef USE_LOCALE
+#include "locale.h"
+#endif
+
+unsigned char hexdig[256];
+
+static void
+_DEFUN (htinit, (h, s, inc),
+ unsigned char *h _AND
+ unsigned char *s _AND
+ int inc)
+{
+ int i, j;
+ for(i = 0; (j = s[i]) !=0; i++)
+ h[j] = i + inc;
+}
+
+void
+_DEFUN_VOID (hexdig_init)
+{
+#define USC (unsigned char *)
+ htinit(hexdig, USC "0123456789", 0x10);
+ htinit(hexdig, USC "abcdef", 0x10 + 10);
+ htinit(hexdig, USC "ABCDEF", 0x10 + 10);
+}
+
+static void
+_DEFUN(rshift, (b, k),
+ _Bigint *b _AND
+ int k)
+{
+ __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;
+}
+
+static _Bigint *
+_DEFUN (increment, (ptr, b),
+ struct _reent *ptr _AND
+ _Bigint *b)
+{
+ __ULong *x, *xe;
+ _Bigint *b1;
+#ifdef Pack_16
+ __ULong carry = 1, y;
+#endif
+
+ x = b->_x;
+ xe = x + b->_wds;
+#ifdef Pack_32
+ do {
+ if (*x < (__ULong)0xffffffffL) {
+ ++*x;
+ return b;
+ }
+ *x++ = 0;
+ } while(x < xe);
+#else
+ do {
+ y = *x + carry;
+ carry = y >> 16;
+ *x++ = y & 0xffff;
+ if (!carry)
+ return b;
+ } while(x < xe);
+ if (carry)
+#endif
+ {
+ if (b->_wds >= b->_maxwds) {
+ b1 = Balloc(ptr, b->_k+1);
+ Bcopy(b1, b);
+ Bfree(ptr, b);
+ b = b1;
+ }
+ b->_x[b->_wds++] = 1;
+ }
+ return b;
+}
+
+
+int
+_DEFUN(gethex, (ptr, sp, fpi, exp, bp, sign),
+ struct _reent *ptr _AND
+ _CONST char **sp _AND
+ FPI *fpi _AND
+ Long *exp _AND
+ _Bigint **bp _AND
+ int sign)
+{
+ _Bigint *b;
+ _CONST unsigned char *decpt, *s0, *s, *s1;
+ int esign, havedig, irv, k, n, nbits, up, zret;
+ __ULong L, lostbits, *x;
+ Long e, e1;
+#ifdef USE_LOCALE
+ unsigned char decimalpoint = *localeconv()->decimal_point;
+#else
+#define decimalpoint '.'
+#endif
+
+ if (!hexdig['0'])
+ hexdig_init();
+ havedig = 0;
+ s0 = *(_CONST unsigned char **)sp + 2;
+ while(s0[havedig] == '0')
+ havedig++;
+ s0 += havedig;
+ s = s0;
+ decpt = 0;
+ zret = 0;
+ e = 0;
+ if (!hexdig[*s]) {
+ zret = 1;
+ if (*s != decimalpoint)
+ goto pcheck;
+ decpt = ++s;
+ if (!hexdig[*s])
+ goto pcheck;
+ while(*s == '0')
+ s++;
+ if (hexdig[*s])
+ zret = 0;
+ havedig = 1;
+ s0 = s;
+ }
+ while(hexdig[*s])
+ s++;
+ if (*s == decimalpoint && !decpt) {
+ decpt = ++s;
+ while(hexdig[*s])
+ s++;
+ }
+ if (decpt)
+ e = -(((Long)(s-decpt)) << 2);
+ pcheck:
+ s1 = s;
+ switch(*s) {
+ case 'p':
+ case 'P':
+ esign = 0;
+ switch(*++s) {
+ case '-':
+ esign = 1;
+ /* no break */
+ case '+':
+ s++;
+ }
+ if ((n = hexdig[*s]) == 0 || n > 0x19) {
+ s = s1;
+ break;
+ }
+ e1 = n - 0x10;
+ while((n = hexdig[*++s]) !=0 && n <= 0x19)
+ e1 = 10*e1 + n - 0x10;
+ if (esign)
+ e1 = -e1;
+ e += e1;
+ }
+ *sp = (char*)s;
+ if (zret)
+ return havedig ? STRTOG_Zero : STRTOG_NoNumber;
+ n = s1 - s0 - 1;
+ for(k = 0; n > 7; n >>= 1)
+ k++;
+ b = Balloc(ptr, k);
+ x = b->_x;
+ n = 0;
+ L = 0;
+ while(s1 > s0) {
+ if (*--s1 == decimalpoint)
+ continue;
+ if (n == 32) {
+ *x++ = L;
+ L = 0;
+ n = 0;
+ }
+ L |= (hexdig[*s1] & 0x0f) << n;
+ n += 4;
+ }
+ *x++ = L;
+ b->_wds = n = x - b->_x;
+ n = 32*n - hi0bits(L);
+ nbits = fpi->nbits;
+ lostbits = 0;
+ x = b->_x;
+ if (n > nbits) {
+ n -= nbits;
+ if (any_on(b,n)) {
+ lostbits = 1;
+ k = n - 1;
+ if (x[k>>kshift] & 1 << (k & kmask)) {
+ lostbits = 2;
+ if (k > 1 && any_on(b,k-1))
+ lostbits = 3;
+ }
+ }
+ rshift(b, n);
+ e += n;
+ }
+ else if (n < nbits) {
+ n = nbits - n;
+ b = lshift(ptr, b, n);
+ e -= n;
+ x = b->_x;
+ }
+ if (e > fpi->emax) {
+ ovfl:
+ Bfree(ptr, b);
+ *bp = 0;
+ return STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi;
+ }
+ irv = STRTOG_Normal;
+ if (e < fpi->emin) {
+ irv = STRTOG_Denormal;
+ n = fpi->emin - e;
+ if (n >= nbits) {
+ switch (fpi->rounding) {
+ case FPI_Round_near:
+ if (n == nbits && (n < 2 || any_on(b,n-1)))
+ goto one_bit;
+ break;
+ case FPI_Round_up:
+ if (!sign)
+ goto one_bit;
+ break;
+ case FPI_Round_down:
+ if (sign) {
+ one_bit:
+ *exp = fpi->emin;
+ x[0] = b->_wds = 1;
+ *bp = b;
+ return STRTOG_Denormal | STRTOG_Inexhi
+ | STRTOG_Underflow;
+ }
+ }
+ Bfree(ptr, b);
+ *bp = 0;
+ return STRTOG_Zero | STRTOG_Inexlo | STRTOG_Underflow;
+ }
+ k = n - 1;
+ if (lostbits)
+ lostbits = 1;
+ else if (k > 0)
+ lostbits = any_on(b,k);
+ if (x[k>>kshift] & 1 << (k & kmask))
+ lostbits |= 2;
+ nbits -= n;
+ rshift(b,n);
+ e = fpi->emin;
+ }
+ if (lostbits) {
+ up = 0;
+ switch(fpi->rounding) {
+ case FPI_Round_zero:
+ break;
+ case FPI_Round_near:
+ if ((lostbits & 2)
+ && ((lostbits & 1) | (x[0] & 1)))
+ up = 1;
+ break;
+ case FPI_Round_up:
+ up = 1 - sign;
+ break;
+ case FPI_Round_down:
+ up = sign;
+ }
+ if (up) {
+ k = b->_wds;
+ b = increment(ptr, b);
+ x = b->_x;
+ if (irv == STRTOG_Denormal) {
+ if (nbits == fpi->nbits - 1
+ && x[nbits >> kshift] & 1 << (nbits & kmask))
+ irv = STRTOG_Normal;
+ }
+ else if ((b->_wds > k)
+ || ((n = nbits & kmask) !=0
+ && (hi0bits(x[k-1]) < 32-n))) {
+ rshift(b,1);
+ if (++e > fpi->emax)
+ goto ovfl;
+ }
+ irv |= STRTOG_Inexhi;
+ }
+ else
+ irv |= STRTOG_Inexlo;
+ }
+ *bp = b;
+ *exp = e;
+ return irv;
+}
+
diff --git a/newlib/libc/stdlib/gdtoa-hexnan.c b/newlib/libc/stdlib/gdtoa-hexnan.c
new file mode 100644
index 000000000..058bbd17d
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa-hexnan.c
@@ -0,0 +1,142 @@
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 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.
+
+****************************************************************/
+
+/* Please send bug reports to
+ David M. Gay
+ Bell Laboratories, Room 2C-463
+ 600 Mountain Avenue
+ Murray Hill, NJ 07974-0636
+ U.S.A.
+ dmg@bell-labs.com
+ */
+
+/* Modified 06-21-2006 by Jeff Johnston to work with newlib. */
+
+#include <_ansi.h>
+#include <reent.h>
+#include <string.h>
+#include "mprec.h"
+#include "gdtoa.h"
+
+#ifdef INFNAN_CHECK
+static void
+_DEFUN (L_shift, (x, x1, i),
+ __ULong *x _AND
+ __ULong *x1 _AND
+ int i)
+{
+ int j;
+
+ i = 8 - i;
+ i <<= 2;
+ j = ULbits - i;
+ do {
+ *x |= x[1] << j;
+ x[1] >>= i;
+ } while(++x < x1);
+}
+
+int
+_DEFUN (hexnan, (sp, fpi, x0),
+ _CONST char **sp _AND
+ FPI *fpi _AND
+ __ULong *x0)
+{
+ __ULong c, h, *x, *x1, *xe;
+ _CONST char *s;
+ int havedig, hd0, i, nbits;
+
+ if (!hexdig['0'])
+ hexdig_init();
+ nbits = fpi->nbits;
+ x = x0 + (nbits >> kshift);
+ if (nbits & kmask)
+ x++;
+ *--x = 0;
+ x1 = xe = x;
+ havedig = hd0 = i = 0;
+ s = *sp;
+ while((c = *(_CONST unsigned char*)++s)) {
+ if (!(h = hexdig[c])) {
+ if (c <= ' ') {
+ if (hd0 < havedig) {
+ if (x < x1 && i < 8)
+ L_shift(x, x1, i);
+ if (x <= x0) {
+ i = 8;
+ continue;
+ }
+ hd0 = havedig;
+ *--x = 0;
+ x1 = x;
+ i = 0;
+ }
+ continue;
+ }
+ if (/*(*/ c == ')' && havedig) {
+ *sp = s + 1;
+ break;
+ }
+ return STRTOG_NaN;
+ }
+ havedig++;
+ if (++i > 8) {
+ if (x <= x0)
+ continue;
+ i = 1;
+ *--x = 0;
+ }
+ *x = ((*x << 4) | (h & 0xf));
+ }
+ if (!havedig)
+ return STRTOG_NaN;
+ if (x < x1 && i < 8)
+ L_shift(x, x1, i);
+ if (x > x0) {
+ x1 = x0;
+ do *x1++ = *x++;
+ while(x <= xe);
+ do *x1++ = 0;
+ while(x1 <= xe);
+ }
+ else {
+ /* truncate high-order word if necessary */
+ if ( (i = nbits & (ULbits-1)) !=0)
+ *xe &= ((__ULong)0xffffffff) >> (ULbits - i);
+ }
+ for(x1 = xe;; --x1) {
+ if (*x1 != 0)
+ break;
+ if (x1 == x0) {
+ *x1 = 1;
+ break;
+ }
+ }
+ return STRTOG_NaNbits;
+}
+#endif /* INFNAN_CHECK */
diff --git a/newlib/libc/stdlib/gdtoa.h b/newlib/libc/stdlib/gdtoa.h
new file mode 100644
index 000000000..5029e58de
--- /dev/null
+++ b/newlib/libc/stdlib/gdtoa.h
@@ -0,0 +1,72 @@
+/****************************************************************
+
+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 "."). */
+
+#ifndef GDTOA_H_INCLUDED
+#define GDTOA_H_INCLUDED
+
+
+ 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,
+
+ /* 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
+ };
+
+ typedef struct
+FPI {
+ int nbits;
+ int emin;
+ int emax;
+ int rounding;
+ int sudden_underflow;
+ } FPI;
+
+enum { /* FPI.rounding values: same as FLT_ROUNDS */
+ FPI_Round_zero = 0,
+ FPI_Round_near = 1,
+ FPI_Round_up = 2,
+ FPI_Round_down = 3
+ };
+
+#endif /* GDTOA_H_INCLUDED */
diff --git a/newlib/libc/stdlib/mprec.c b/newlib/libc/stdlib/mprec.c
index 0ef28c745..6e84ece5b 100644
--- a/newlib/libc/stdlib/mprec.c
+++ b/newlib/libc/stdlib/mprec.c
@@ -985,3 +985,61 @@ _DEFUN (_mprec_log10, (dig),
}
return v;
}
+
+void
+_DEFUN (copybits, (c, n, b),
+ __ULong *c _AND
+ int n _AND
+ _Bigint *b)
+{
+ __ULong *ce, *x, *xe;
+#ifdef Pack_16
+ int nw, nw1;
+#endif
+
+ ce = c + ((n-1) >> kshift) + 1;
+ x = b->_x;
+#ifdef Pack_32
+ xe = x + b->_wds;
+ while(x < xe)
+ *c++ = *x++;
+#else
+ nw = b->_wds;
+ nw1 = nw & 1;
+ for(xe = x + (nw - nw1); x < xe; x += 2)
+ Storeinc(c, x[1], x[0]);
+ if (nw1)
+ *c++ = *x;
+#endif
+ while(c < ce)
+ *c++ = 0;
+}
+
+__ULong
+_DEFUN (any_on, (b, k),
+ _Bigint *b _AND
+ int k)
+{
+ int n, nwds;
+ __ULong *x, *x0, x1, x2;
+
+ x = b->_x;
+ nwds = b->_wds;
+ n = k >> kshift;
+ if (n > nwds)
+ n = nwds;
+ else if (n < nwds && (k &= kmask)) {
+ x1 = x2 = x[n];
+ x1 >>= k;
+ x1 <<= k;
+ if (x1 != x2)
+ return 1;
+ }
+ x0 = x;
+ x += n;
+ while(x > x0)
+ if (*--x)
+ return 1;
+ return 0;
+}
+
diff --git a/newlib/libc/stdlib/mprec.h b/newlib/libc/stdlib/mprec.h
index 4ca48f22f..4fd496831 100644
--- a/newlib/libc/stdlib/mprec.h
+++ b/newlib/libc/stdlib/mprec.h
@@ -78,6 +78,39 @@ union double_union
#define word1(x) (x.i[1])
#endif
+
+/* The following is taken from gdtoaimp.h for use with new strtod. */
+typedef __int32_t Long;
+typedef union { double d; __ULong L[2]; } U;
+
+#ifdef YES_ALIAS
+#define dval(x) x
+#ifdef IEEE_8087
+#define dword0(x) ((__ULong *)&x)[1]
+#define dword1(x) ((__ULong *)&x)[0]
+#else
+#define dword0(x) ((__ULong *)&x)[0]
+#define dword1(x) ((__ULong *)&x)[1]
+#endif
+#else /* !YES_ALIAS */
+#ifdef IEEE_8087
+#define dword0(x) ((U*)&x)->L[1]
+#define dword1(x) ((U*)&x)->L[0]
+#else
+#define dword0(x) ((U*)&x)->L[0]
+#define dword1(x) ((U*)&x)->L[1]
+#endif
+#define dval(x) ((U*)&x)->d
+#endif /* YES_ALIAS */
+
+
+#undef SI
+#ifdef Sudden_Underflow
+#define SI 1
+#else
+#define SI 0
+#endif
+
/* 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)
@@ -161,12 +194,22 @@ union double_union
#define Quick_max 14
#define Int_max 14
#define Infinite(x) (word0(x) == ((__uint32_t)0x7ff00000L)) /* sufficient test for here */
+
+#ifndef Flt_Rounds
+#ifdef FLT_ROUNDS
+#define Flt_Rounds FLT_ROUNDS
+#else
+#define Flt_Rounds 1
+#endif
+#endif /*Flt_Rounds*/
+
#endif
#else
#undef Sudden_Underflow
#define Sudden_Underflow
#ifdef IBM
+#define Flt_Rounds 0
#define Exp_shift 24
#define Exp_shift1 24
#define Exp_msk1 ((__uint32_t)0x1000000L)
@@ -191,6 +234,7 @@ union double_union
#define Quick_max 14
#define Int_max 15
#else /* VAX */
+#define Flt_Rounds 1
#define Exp_shift 23
#define Exp_shift1 7
#define Exp_msk1 0x80
@@ -219,6 +263,58 @@ union double_union
#ifndef IEEE_Arith
#define ROUND_BIASED
+#else
+#define Scale_Bit 0x10
+#if defined(_DOUBLE_IS_32BITS) && defined(__v800)
+#define n_bigtens 2
+#else
+#define n_bigtens 5
+#endif
+#endif
+
+#ifdef IBM
+#define n_bigtens 3
+#endif
+
+#ifdef VAX
+#define n_bigtens 2
+#endif
+
+#ifndef __NO_INFNAN_CHECK
+#define INFNAN_CHECK
+#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
+#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
#ifdef RND_PRODQUOT
@@ -249,6 +345,17 @@ extern double rnd_prod(double, double), rnd_quot(double, double);
#endif
#endif
+#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
#ifdef __cplusplus
extern "C" double strtod(const char *s00, char **se);
@@ -261,26 +368,34 @@ typedef struct _Bigint _Bigint;
#define Balloc _Balloc
#define Bfree _Bfree
-#define multadd _multadd
-#define s2b _s2b
-#define lo0bits _lo0bits
-#define hi0bits _hi0bits
-#define i2b _i2b
-#define mult _multiply
-#define pow5mult _pow5mult
-#define lshift _lshift
+#define multadd __multadd
+#define s2b __s2b
+#define lo0bits __lo0bits
+#define hi0bits __hi0bits
+#define i2b __i2b
+#define mult __multiply
+#define pow5mult __pow5mult
+#define lshift __lshift
#define cmp __mcmp
#define diff __mdiff
-#define ulp _ulp
-#define b2d _b2d
-#define d2b _d2b
-#define ratio _ratio
+#define ulp __ulp
+#define b2d __b2d
+#define d2b __d2b
+#define ratio __ratio
+#define any_on __any_on
+#define gethex __gethex
+#define copybits __copybits
+#define hexnan __hexnan
+#define hexdig_init __hexdig_init
+
+#define hexdig __hexdig
#define tens __mprec_tens
#define bigtens __mprec_bigtens
#define tinytens __mprec_tinytens
struct _reent ;
+struct FPI;
double _EXFUN(ulp,(double x));
double _EXFUN(b2d,(_Bigint *a , int *e));
_Bigint * _EXFUN(Balloc,(struct _reent *p, int k));
@@ -292,23 +407,25 @@ _Bigint * _EXFUN(mult, (struct _reent *, _Bigint *, _Bigint *));
_Bigint * _EXFUN(pow5mult, (struct _reent *, _Bigint *, int k));
int _EXFUN(hi0bits,(__ULong));
int _EXFUN(lo0bits,(__ULong *));
-_Bigint * _EXFUN(d2b,(struct _reent *p, double d, int *e, int *bits));
-_Bigint * _EXFUN(lshift,(struct _reent *p, _Bigint *b, int k));
-_Bigint * _EXFUN(diff,(struct _reent *p, _Bigint *a, _Bigint *b));
-int _EXFUN(cmp,(_Bigint *a, _Bigint *b));
-
+_Bigint * _EXFUN(d2b,(struct _reent *p, double d, int *e, int *bits));
+_Bigint * _EXFUN(lshift,(struct _reent *p, _Bigint *b, int k));
+_Bigint * _EXFUN(diff,(struct _reent *p, _Bigint *a, _Bigint *b));
+int _EXFUN(cmp,(_Bigint *a, _Bigint *b));
+int _EXFUN(gethex,(struct _reent *p, _CONST char **sp, struct FPI *fpi, Long *exp, _Bigint **bp, int sign));
double _EXFUN(ratio,(_Bigint *a, _Bigint *b));
-#define Bcopy(x,y) memcpy((char *)&x->_sign, (char *)&y->_sign, y->_wds*sizeof(__Long) + 2*sizeof(int))
-
-#if defined(_DOUBLE_IS_32BITS) && defined(__v800)
-#define n_bigtens 2
-#else
-#define n_bigtens 5
+__ULong _EXFUN(any_on,(_Bigint *b, int k));
+void _EXFUN(copybits,(__ULong *c, int n, _Bigint *b));
+void _EXFUN(hexdig_init,(void));
+#ifdef INFNAN_CHECK
+int _EXFUN(hexnan,(_CONST char **sp, struct FPI *fpi, __ULong *x0));
#endif
+#define Bcopy(x,y) memcpy((char *)&x->_sign, (char *)&y->_sign, y->_wds*sizeof(__Long) + 2*sizeof(int))
+
extern _CONST double tinytens[];
extern _CONST double bigtens[];
extern _CONST double tens[];
+extern unsigned char hexdig[];
double _EXFUN(_mprec_log10,(int));
diff --git a/newlib/libc/stdlib/strtod.c b/newlib/libc/stdlib/strtod.c
index 9b70dfc3c..57297e05b 100644
--- a/newlib/libc/stdlib/strtod.c
+++ b/newlib/libc/stdlib/strtod.c
@@ -70,37 +70,130 @@ Supporting OS subroutines required: <<close>>, <<fstat>>, <<isatty>>,
*/
/****************************************************************
- *
- * The author of this software is David M. Gay.
- *
- * Copyright (c) 1991 by AT&T.
- *
- * Permission to use, copy, modify, and distribute this software for any
- * purpose without fee is hereby granted, provided that this entire notice
- * is included in all copies of any software which is or includes a copy
- * or modification of this software and in all copies of the supporting
- * documentation for such software.
- *
- * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
- * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
- * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
- * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
- *
- ***************************************************************/
-
-/* Please send bug reports to
- David M. Gay
- AT&T Bell Laboratories, Room 2C-463
- 600 Mountain Avenue
- Murray Hill, NJ 07974-2070
- U.S.A.
- dmg@research.att.com or research!dmg
- */
+
+The author of this software is David M. Gay.
+
+Copyright (C) 1998-2001 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 "."). */
+
+/* Original file gdtoa-strtod.c Modified 06-21-2006 by Jeff Johnston to work within newlib. */
#include <_ansi.h>
-#include <reent.h>
+#include <errno.h>
#include <string.h>
#include "mprec.h"
+#include "gdtoa.h"
+#include "gd_qnan.h"
+
+/* #ifndef NO_FENV_H */
+/* #include <fenv.h> */
+/* #endif */
+
+#ifdef USE_LOCALE
+#include "locale.h"
+#endif
+
+#ifdef IEEE_Arith
+#ifndef NO_IEEE_Scale
+#define Avoid_Underflow
+#undef tinytens
+/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
+/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
+static _CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
+ 9007199254740992.e-256
+ };
+#endif
+#endif
+
+#ifdef Honor_FLT_ROUNDS
+#define Rounding rounding
+#undef Check_FLT_ROUNDS
+#define Check_FLT_ROUNDS
+#else
+#define Rounding Flt_Rounds
+#endif
+
+static void
+_DEFUN (ULtod, (L, bits, exp, k),
+ __ULong *L _AND
+ __ULong *bits _AND
+ Long exp _AND
+ int k)
+{
+ switch(k & STRTOG_Retmask) {
+ case STRTOG_NoNumber:
+ case STRTOG_Zero:
+ L[0] = L[1] = 0;
+ break;
+
+ case STRTOG_Denormal:
+ L[_1] = bits[0];
+ L[_0] = bits[1];
+ break;
+
+ case STRTOG_Normal:
+ case STRTOG_NaNbits:
+ L[_1] = bits[0];
+ L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20);
+ break;
+
+ case STRTOG_Infinite:
+ L[_0] = 0x7ff00000;
+ L[_1] = 0;
+ break;
+
+ case STRTOG_NaN:
+ L[_0] = 0x7fffffff;
+ L[_1] = (__ULong)-1;
+ }
+ if (k & STRTOG_Neg)
+ L[_0] |= 0x80000000L;
+}
+
+#ifdef INFNAN_CHECK
+static int
+_DEFUN (match, (sp, t),
+ _CONST char **sp _AND
+ char *t)
+{
+ int c, d;
+ _CONST char *s = *sp;
+
+ while( (d = *t++) !=0) {
+ if ((c = *++s) >= 'A' && c <= 'Z')
+ c += 'a' - 'A';
+ if (c != d)
+ return 0;
+ }
+ *sp = s + 1;
+ return 1;
+}
+#endif /* INFNAN_CHECK */
+
double
_DEFUN (_strtod_r, (ptr, s00, se),
@@ -108,627 +201,919 @@ _DEFUN (_strtod_r, (ptr, s00, se),
_CONST char *s00 _AND
char **se)
{
- int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign, e1, esign, i, j,
- k, nd, nd0, nf, nz, nz0, sign;
- long e;
- _CONST char *s, *s0, *s1, *s2;
- double aadj, aadj1, adj;
- long L;
- unsigned long z;
- __ULong y;
- union double_union rv, rv0;
- int nanflag;
-
- _Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
- sign = nz0 = nz = nanflag = 0;
- rv.d = 0.;
- for (s = s00;; s++)
- switch (*s)
- {
- case '-':
- sign = 1;
- /* no break */
- case '+':
- if (*++s)
- goto break2;
- /* no break */
- case 0:
- s = s00;
- goto ret;
- case '\t':
- case '\n':
- case '\v':
- case '\f':
- case '\r':
- case ' ':
- continue;
- default:
- goto break2;
- }
-break2:
- if (*s == 'n' || *s == 'N')
- {
- ++s;
- if (*s == 'a' || *s == 'A')
- {
- ++s;
- if (*s == 'n' || *s == 'N')
- {
- nanflag = 1;
- ++s;
- goto ret;
- }
- }
- s = s00;
- goto ret;
- }
- else if (*s == '0')
- {
- nz0 = 1;
- while (*++s == '0');
- if (!*s)
- goto ret;
- }
- s0 = s;
- y = z = 0;
- for (nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
- if (nd < 9)
- y = 10 * y + c - '0';
- else if (nd < 16)
- z = 10 * z + c - '0';
- nd0 = nd;
- if (c == '.')
- {
- c = *++s;
- if (!nd)
- {
- for (; c == '0'; c = *++s)
- nz++;
- if (c > '0' && c <= '9')
- {
- s0 = s;
- nf += nz;
- nz = 0;
- goto have_dig;
- }
- goto dig_done;
- }
- for (; c >= '0' && c <= '9'; c = *++s)
- {
- have_dig:
- nz++;
- if (c -= '0')
- {
- nf += nz;
- for (i = 1; i < nz; i++)
- if (nd++ < 9)
- y *= 10;
- else if (nd <= DBL_DIG + 1)
- z *= 10;
- if (nd++ < 9)
- y = 10 * y + c;
- else if (nd <= DBL_DIG + 1)
- z = 10 * z + c;
- nz = 0;
- }
- }
- }
-dig_done:
- e = 0;
- if (c == 'e' || c == 'E')
- {
- if (!nd && !nz && !nz0)
- {
- s = s00;
- goto ret;
- }
- s2 = s;
- esign = 0;
- switch (c = *++s)
- {
- case '-':
- esign = 1;
- case '+':
- c = *++s;
- }
- if (c >= '0' && c <= '9')
- {
- while (c == '0')
- c = *++s;
- if (c > '0' && c <= '9')
- {
- e = c - '0';
- s1 = s;
- while ((c = *++s) >= '0' && c <= '9')
- e = 10 * e + c - '0';
- if (s - s1 > 8)
- /* Avoid confusion from exponents
- * so large that e might overflow.
- */
- e = 9999999L;
- if (esign)
- e = -e;
- }
- else
- e = 0;
- }
- else
- s = s2;
- }
- if (!nd)
- {
- if (!nz && !nz0)
- s = s00;
- goto ret;
- }
- e1 = e -= nf;
-
- /* Now we have nd0 digits, starting at s0, followed by a
- * decimal point, followed by nd-nd0 digits. The number we're
- * after is the integer represented by those digits times
- * 10**e */
-
- if (!nd0)
- nd0 = nd;
- k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
- rv.d = y;
- if (k > 9)
- rv.d = tens[k - 9] * rv.d + z;
- bd0 = 0;
- if (nd <= DBL_DIG
+#ifdef Avoid_Underflow
+ int scale;
+#endif
+ int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, dsign,
+ e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
+ _CONST char *s, *s0, *s1;
+ double aadj, aadj1, adj, rv, rv0;
+ Long L;
+ __ULong y, z;
+ _Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ int rounding;
+#endif
+
+ delta = bs = bd = NULL;
+ sign = nz0 = nz = decpt = 0;
+ dval(rv) = 0.;
+ for(s = s00;;s++) switch(*s) {
+ case '-':
+ sign = 1;
+ /* no break */
+ case '+':
+ if (*++s)
+ goto break2;
+ /* no break */
+ case 0:
+ goto ret0;
+ case '\t':
+ case '\n':
+ case '\v':
+ case '\f':
+ case '\r':
+ case ' ':
+ continue;
+ default:
+ goto break2;
+ }
+ break2:
+ if (*s == '0') {
+#ifndef NO_HEX_FP
+ {
+ static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI };
+ Long exp;
+ __ULong bits[2];
+ switch(s[1]) {
+ case 'x':
+ case 'X':
+ {
+#if defined(FE_DOWNWARD) && defined(FE_TONEAREST) && defined(FE_TOWARDZERO) && defined(FE_UPWARD)
+ FPI fpi1 = fpi;
+ switch(fegetround()) {
+ case FE_TOWARDZERO: fpi1.rounding = 0; break;
+ case FE_UPWARD: fpi1.rounding = 2; break;
+ case FE_DOWNWARD: fpi1.rounding = 3;
+ }
+#else
+#define fpi1 fpi
+#endif
+ switch((i = gethex(ptr, &s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) {
+ case STRTOG_NoNumber:
+ s = s00;
+ sign = 0;
+ case STRTOG_Zero:
+ break;
+ default:
+ if (bb) {
+ copybits(bits, fpi.nbits, bb);
+ Bfree(ptr,bb);
+ }
+ ULtod(((U*)&rv)->L, bits, exp, i);
+ }}
+ goto ret;
+ }
+ }
+#endif
+ nz0 = 1;
+ while(*++s == '0') ;
+ if (!*s)
+ goto ret;
+ }
+ s0 = s;
+ y = z = 0;
+ for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
+ if (nd < 9)
+ y = 10*y + c - '0';
+ else if (nd < 16)
+ z = 10*z + c - '0';
+ nd0 = nd;
+#ifdef USE_LOCALE
+ if (c == *localeconv()->decimal_point)
+#else
+ if (c == '.')
+#endif
+ {
+ decpt = 1;
+ c = *++s;
+ if (!nd) {
+ for(; c == '0'; c = *++s)
+ nz++;
+ if (c > '0' && c <= '9') {
+ s0 = s;
+ nf += nz;
+ nz = 0;
+ goto have_dig;
+ }
+ goto dig_done;
+ }
+ for(; c >= '0' && c <= '9'; c = *++s) {
+ have_dig:
+ nz++;
+ if (c -= '0') {
+ nf += nz;
+ for(i = 1; i < nz; i++)
+ if (nd++ < 9)
+ y *= 10;
+ else if (nd <= DBL_DIG + 1)
+ z *= 10;
+ if (nd++ < 9)
+ y = 10*y + c;
+ else if (nd <= DBL_DIG + 1)
+ z = 10*z + c;
+ nz = 0;
+ }
+ }
+ }
+ dig_done:
+ e = 0;
+ if (c == 'e' || c == 'E') {
+ if (!nd && !nz && !nz0) {
+ goto ret0;
+ }
+ s00 = s;
+ esign = 0;
+ switch(c = *++s) {
+ case '-':
+ esign = 1;
+ case '+':
+ c = *++s;
+ }
+ if (c >= '0' && c <= '9') {
+ while(c == '0')
+ c = *++s;
+ if (c > '0' && c <= '9') {
+ L = c - '0';
+ s1 = s;
+ while((c = *++s) >= '0' && c <= '9')
+ L = 10*L + c - '0';
+ if (s - s1 > 8 || L > 19999)
+ /* Avoid confusion from exponents
+ * so large that e might overflow.
+ */
+ e = 19999; /* safe for 16 bit ints */
+ else
+ e = (int)L;
+ if (esign)
+ e = -e;
+ }
+ else
+ e = 0;
+ }
+ else
+ s = s00;
+ }
+ if (!nd) {
+ if (!nz && !nz0) {
+#ifdef INFNAN_CHECK
+ /* Check for Nan and Infinity */
+ __ULong bits[2];
+ static FPI fpinan = /* only 52 explicit bits */
+ { 52, 1-1023-53+1, 2046-1023-53+1, 1, SI };
+ if (!decpt)
+ switch(c) {
+ case 'i':
+ case 'I':
+ if (match(&s,"nf")) {
+ --s;
+ if (!match(&s,"inity"))
+ ++s;
+ dword0(rv) = 0x7ff00000;
+ dword1(rv) = 0;
+ goto ret;
+ }
+ break;
+ case 'n':
+ case 'N':
+ if (match(&s, "an")) {
+#ifndef No_Hex_NaN
+ if (*s == '(' /*)*/
+ && hexnan(&s, &fpinan, bits)
+ == STRTOG_NaNbits) {
+ dword0(rv) = 0x7ff00000 | bits[1];
+ dword1(rv) = bits[0];
+ }
+ else {
+#endif
+ dword0(rv) = NAN_WORD0;
+ dword1(rv) = NAN_WORD1;
+#ifndef No_Hex_NaN
+ }
+#endif
+ goto ret;
+ }
+ }
+#endif /* INFNAN_CHECK */
+ ret0:
+ s = s00;
+ sign = 0;
+ }
+ goto ret;
+ }
+ e1 = e -= nf;
+
+ /* Now we have nd0 digits, starting at s0, followed by a
+ * decimal point, followed by nd-nd0 digits. The number we're
+ * after is the integer represented by those digits times
+ * 10**e */
+
+ if (!nd0)
+ nd0 = nd;
+ k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
+ dval(rv) = y;
+ if (k > 9) {
+#ifdef SET_INEXACT
+ if (k > DBL_DIG)
+ oldinexact = get_inexact();
+#endif
+ dval(rv) = tens[k - 9] * dval(rv) + z;
+ }
+ bd0 = 0;
+ if (nd <= DBL_DIG
#ifndef RND_PRODQUOT
- && FLT_ROUNDS == 1
-#endif
- )
- {
- if (!e)
- goto ret;
- if (e > 0)
- {
- if (e <= Ten_pmax)
- {
+#ifndef Honor_FLT_ROUNDS
+ && Flt_Rounds == 1
+#endif
+#endif
+ ) {
+ if (!e)
+ goto ret;
+ if (e > 0) {
+ if (e <= Ten_pmax) {
#ifdef VAX
- goto vax_ovfl_check;
+ goto vax_ovfl_check;
#else
- /* rv.d = */ rounded_product (rv.d, tens[e]);
- goto ret;
-#endif
- }
- i = DBL_DIG - nd;
- if (e <= Ten_pmax + i)
- {
- /* A fancier test would sometimes let us do
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ sign = 0;
+ }
+#endif
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ goto ret;
+#endif
+ }
+ i = DBL_DIG - nd;
+ if (e <= Ten_pmax + i) {
+ /* A fancier test would sometimes let us do
* this for larger i values.
*/
- e -= i;
- rv.d *= tens[i];
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ sign = 0;
+ }
+#endif
+ e -= i;
+ dval(rv) *= tens[i];
#ifdef VAX
- /* VAX exponent range is so narrow we must
- * worry about overflow here...
- */
- vax_ovfl_check:
- word0 (rv) -= P * Exp_msk1;
- /* rv.d = */ rounded_product (rv.d, tens[e]);
- if ((word0 (rv) & Exp_mask)
- > Exp_msk1 * (DBL_MAX_EXP + Bias - 1 - P))
- goto ovfl;
- word0 (rv) += P * Exp_msk1;
+ /* VAX exponent range is so narrow we must
+ * worry about overflow here...
+ */
+ vax_ovfl_check:
+ dword0(rv) -= P*Exp_msk1;
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ if ((dword0(rv) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
+ goto ovfl;
+ dword0(rv) += P*Exp_msk1;
#else
- /* rv.d = */ rounded_product (rv.d, tens[e]);
+ /* rv = */ rounded_product(dval(rv), tens[e]);
#endif
- goto ret;
- }
- }
+ goto ret;
+ }
+ }
#ifndef Inaccurate_Divide
- else if (e >= -Ten_pmax)
- {
- /* rv.d = */ rounded_quotient (rv.d, tens[-e]);
- goto ret;
- }
-#endif
- }
- e1 += nd - k;
-
- /* Get starting approximation = rv.d * 10**e1 */
-
- if (e1 > 0)
- {
- if ((i = e1 & 15) != 0)
- rv.d *= tens[i];
- if (e1 &= ~15)
- {
- if (e1 > DBL_MAX_10_EXP)
- {
- ovfl:
- ptr->_errno = ERANGE;
-#ifdef _HAVE_STDC
- rv.d = HUGE_VAL;
-#else
- /* Can't trust HUGE_VAL */
+ else if (e >= -Ten_pmax) {
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ sign = 0;
+ }
+#endif
+ /* rv = */ rounded_quotient(dval(rv), tens[-e]);
+ goto ret;
+ }
+#endif
+ }
+ e1 += nd - k;
+
#ifdef IEEE_Arith
- word0 (rv) = Exp_mask;
-#ifndef _DOUBLE_IS_32BITS
- word1 (rv) = 0;
+#ifdef SET_INEXACT
+ inexact = 1;
+ if (k <= DBL_DIG)
+ oldinexact = get_inexact();
#endif
-#else
- word0 (rv) = Big0;
-#ifndef _DOUBLE_IS_32BITS
- word1 (rv) = Big1;
-#endif
-#endif
-#endif
- if (bd0)
- goto retfree;
- goto ret;
- }
- if (e1 >>= 4)
- {
- for (j = 0; e1 > 1; j++, e1 >>= 1)
- if (e1 & 1)
- rv.d *= bigtens[j];
- /* The last multiplication could overflow. */
- word0 (rv) -= P * Exp_msk1;
- rv.d *= bigtens[j];
- if ((z = word0 (rv) & Exp_mask)
- > Exp_msk1 * (DBL_MAX_EXP + Bias - P))
- goto ovfl;
- if (z > Exp_msk1 * (DBL_MAX_EXP + Bias - 1 - P))
- {
- /* set to largest number */
- /* (Can't trust DBL_MAX) */
- word0 (rv) = Big0;
-#ifndef _DOUBLE_IS_32BITS
- word1 (rv) = Big1;
+#ifdef Avoid_Underflow
+ scale = 0;
#endif
+#ifdef Honor_FLT_ROUNDS
+ if ((rounding = Flt_Rounds) >= 2) {
+ if (sign)
+ rounding = rounding == 2 ? 0 : 2;
+ else
+ if (rounding != 2)
+ rounding = 0;
}
- else
- word0 (rv) += P * Exp_msk1;
- }
-
- }
- }
- else if (e1 < 0)
- {
- e1 = -e1;
- if ((i = e1 & 15) != 0)
- rv.d /= tens[i];
- if (e1 &= ~15)
- {
- e1 >>= 4;
- if (e1 >= 1 << n_bigtens)
- goto undfl;
- for (j = 0; e1 > 1; j++, e1 >>= 1)
- if (e1 & 1)
- rv.d *= tinytens[j];
- /* The last multiplication could underflow. */
- rv0.d = rv.d;
- rv.d *= tinytens[j];
- if (!rv.d)
- {
- rv.d = 2. * rv0.d;
- rv.d *= tinytens[j];
- if (!rv.d)
- {
- undfl:
- rv.d = 0.;
- ptr->_errno = ERANGE;
- if (bd0)
- goto retfree;
- goto ret;
+#endif
+#endif /*IEEE_Arith*/
+
+ /* Get starting approximation = rv * 10**e1 */
+
+ if (e1 > 0) {
+ if ( (i = e1 & 15) !=0)
+ dval(rv) *= tens[i];
+ if (e1 &= ~15) {
+ if (e1 > DBL_MAX_10_EXP) {
+ ovfl:
+#ifndef NO_ERRNO
+ ptr->_errno = ERANGE;
+#endif
+ /* Can't trust HUGE_VAL */
+#ifdef IEEE_Arith
+#ifdef Honor_FLT_ROUNDS
+ switch(rounding) {
+ case 0: /* toward 0 */
+ case 3: /* toward -infinity */
+ dword0(rv) = Big0;
+ dword1(rv) = Big1;
+ break;
+ default:
+ dword0(rv) = Exp_mask;
+ dword1(rv) = 0;
+ }
+#else /*Honor_FLT_ROUNDS*/
+ dword0(rv) = Exp_mask;
+ dword1(rv) = 0;
+#endif /*Honor_FLT_ROUNDS*/
+#ifdef SET_INEXACT
+ /* set overflow bit */
+ dval(rv0) = 1e300;
+ dval(rv0) *= dval(rv0);
+#endif
+#else /*IEEE_Arith*/
+ dword0(rv) = Big0;
+ dword1(rv) = Big1;
+#endif /*IEEE_Arith*/
+ if (bd0)
+ goto retfree;
+ goto ret;
+ }
+ e1 >>= 4;
+ for(j = 0; e1 > 1; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(rv) *= bigtens[j];
+ /* The last multiplication could overflow. */
+ dword0(rv) -= P*Exp_msk1;
+ dval(rv) *= bigtens[j];
+ if ((z = dword0(rv) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-P))
+ goto ovfl;
+ if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
+ /* set to largest number */
+ /* (Can't trust DBL_MAX) */
+ dword0(rv) = Big0;
+ dword1(rv) = Big1;
+ }
+ else
+ dword0(rv) += P*Exp_msk1;
+ }
}
-#ifndef _DOUBLE_IS_32BITS
- word0 (rv) = Tiny0;
- word1 (rv) = Tiny1;
-#else
- word0 (rv) = Tiny1;
-#endif
- /* The refinement below will clean
- * this approximation up.
- */
- }
- }
- }
-
- /* Now the hard part -- adjusting rv to the correct value.*/
-
- /* Put digits into bd: true value = bd * 10^e */
-
- bd0 = s2b (ptr, s0, nd0, nd, y);
-
- for (;;)
- {
- bd = Balloc (ptr, bd0->_k);
- Bcopy (bd, bd0);
- bb = d2b (ptr, rv.d, &bbe, &bbbits); /* rv.d = bb * 2^bbe */
- bs = i2b (ptr, 1);
-
- if (e >= 0)
- {
- bb2 = bb5 = 0;
- bd2 = bd5 = e;
- }
- else
- {
- bb2 = bb5 = -e;
- bd2 = bd5 = 0;
- }
- if (bbe >= 0)
- bb2 += bbe;
- else
- bd2 -= bbe;
- bs2 = bb2;
-#ifdef Sudden_Underflow
-#ifdef IBM
- j = 1 + 4 * P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
+ else if (e1 < 0) {
+ e1 = -e1;
+ if ( (i = e1 & 15) !=0)
+ dval(rv) /= tens[i];
+ if (e1 >>= 4) {
+ if (e1 >= 1 << n_bigtens)
+ goto undfl;
+#ifdef Avoid_Underflow
+ if (e1 & Scale_Bit)
+ scale = 2*P;
+ for(j = 0; e1 > 0; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(rv) *= tinytens[j];
+ if (scale && (j = 2*P + 1 - ((dword0(rv) & Exp_mask)
+ >> Exp_shift)) > 0) {
+ /* scaled rv is denormal; zap j low bits */
+ if (j >= 32) {
+ dword1(rv) = 0;
+ if (j >= 53)
+ dword0(rv) = (P+2)*Exp_msk1;
+ else
+ dword0(rv) &= 0xffffffff << (j-32);
+ }
+ else
+ dword1(rv) &= 0xffffffff << j;
+ }
#else
- j = P + 1 - bbbits;
+ for(j = 0; e1 > 1; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(rv) *= tinytens[j];
+ /* The last multiplication could underflow. */
+ dval(rv0) = dval(rv);
+ dval(rv) *= tinytens[j];
+ if (!dval(rv)) {
+ dval(rv) = 2.*dval(rv0);
+ dval(rv) *= tinytens[j];
#endif
-#else
- i = bbe + bbbits - 1; /* logb(rv.d) */
- if (i < Emin) /* denormal */
- j = bbe + (P - Emin);
- else
- j = P + 1 - bbbits;
-#endif
- bb2 += j;
- bd2 += j;
- i = bb2 < bd2 ? bb2 : bd2;
- if (i > bs2)
- i = bs2;
- if (i > 0)
- {
- bb2 -= i;
- bd2 -= i;
- bs2 -= i;
- }
- if (bb5 > 0)
- {
- bs = pow5mult (ptr, bs, bb5);
- bb1 = mult (ptr, bs, bb);
- Bfree (ptr, bb);
- bb = bb1;
- }
- if (bb2 > 0)
- bb = lshift (ptr, bb, bb2);
- if (bd5 > 0)
- bd = pow5mult (ptr, bd, bd5);
- if (bd2 > 0)
- bd = lshift (ptr, bd, bd2);
- if (bs2 > 0)
- bs = lshift (ptr, bs, bs2);
- delta = diff (ptr, bb, bd);
- dsign = delta->_sign;
- delta->_sign = 0;
- i = cmp (delta, bs);
- if (i < 0)
- {
- /* Error is less than half an ulp -- check for
- * special case of mantissa a power of two.
- */
- if (dsign || word1 (rv) || word0 (rv) & Bndry_mask)
- break;
- delta = lshift (ptr, delta, Log2P);
- if (cmp (delta, bs) > 0)
- goto drop_down;
- break;
- }
- if (i == 0)
- {
- /* exactly half-way between */
- if (dsign)
- {
- if ((word0 (rv) & Bndry_mask1) == Bndry_mask1
- && word1 (rv) == 0xffffffff)
- {
- /*boundary case -- increment exponent*/
- word0 (rv) = (word0 (rv) & Exp_mask)
- + Exp_msk1
-#ifdef IBM
- | Exp_msk1 >> 4
+ if (!dval(rv)) {
+ undfl:
+ dval(rv) = 0.;
+#ifndef NO_ERRNO
+ ptr->_errno = ERANGE;
#endif
- ;
-#ifndef _DOUBLE_IS_32BITS
- word1 (rv) = 0;
+ if (bd0)
+ goto retfree;
+ goto ret;
+ }
+#ifndef Avoid_Underflow
+ dword0(rv) = Tiny0;
+ dword1(rv) = Tiny1;
+ /* The refinement below will clean
+ * this approximation up.
+ */
+ }
#endif
- break;
+ }
}
- }
- else if (!(word0 (rv) & Bndry_mask) && !word1 (rv))
- {
- drop_down:
- /* boundary case -- decrement exponent */
+
+ /* Now the hard part -- adjusting rv to the correct value.*/
+
+ /* Put digits into bd: true value = bd * 10^e */
+
+ bd0 = s2b(ptr, s0, nd0, nd, y);
+
+ for(;;) {
+ bd = Balloc(ptr,bd0->_k);
+ Bcopy(bd, bd0);
+ bb = d2b(ptr,dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
+ bs = i2b(ptr,1);
+
+ if (e >= 0) {
+ bb2 = bb5 = 0;
+ bd2 = bd5 = e;
+ }
+ else {
+ bb2 = bb5 = -e;
+ bd2 = bd5 = 0;
+ }
+ if (bbe >= 0)
+ bb2 += bbe;
+ else
+ bd2 -= bbe;
+ bs2 = bb2;
+#ifdef Honor_FLT_ROUNDS
+ if (rounding != 1)
+ bs2++;
+#endif
+#ifdef Avoid_Underflow
+ j = bbe - scale;
+ i = j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) /* denormal */
+ j += P - Emin;
+ else
+ j = P + 1 - bbbits;
+#else /*Avoid_Underflow*/
#ifdef Sudden_Underflow
- L = word0 (rv) & Exp_mask;
#ifdef IBM
- if (L < Exp_msk1)
+ j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
#else
- if (L <= Exp_msk1)
+ j = P + 1 - bbbits;
+#endif
+#else /*Sudden_Underflow*/
+ j = bbe;
+ i = j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) /* denormal */
+ j += P - Emin;
+ else
+ j = P + 1 - bbbits;
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ bb2 += j;
+ bd2 += j;
+#ifdef Avoid_Underflow
+ bd2 += scale;
+#endif
+ i = bb2 < bd2 ? bb2 : bd2;
+ if (i > bs2)
+ i = bs2;
+ if (i > 0) {
+ bb2 -= i;
+ bd2 -= i;
+ bs2 -= i;
+ }
+ if (bb5 > 0) {
+ bs = pow5mult(ptr, bs, bb5);
+ bb1 = mult(ptr, bs, bb);
+ Bfree(ptr, bb);
+ bb = bb1;
+ }
+ if (bb2 > 0)
+ bb = lshift(ptr, bb, bb2);
+ if (bd5 > 0)
+ bd = pow5mult(ptr, bd, bd5);
+ if (bd2 > 0)
+ bd = lshift(ptr, bd, bd2);
+ if (bs2 > 0)
+ bs = lshift(ptr, bs, bs2);
+ delta = diff(ptr, bb, bd);
+ dsign = delta->_sign;
+ delta->_sign = 0;
+ i = cmp(delta, bs);
+#ifdef Honor_FLT_ROUNDS
+ if (rounding != 1) {
+ if (i < 0) {
+ /* Error is less than an ulp */
+ if (!delta->_x[0] && delta->_wds <= 1) {
+ /* exact */
+#ifdef SET_INEXACT
+ inexact = 0;
#endif
- goto undfl;
- L -= Exp_msk1;
+ break;
+ }
+ if (rounding) {
+ if (dsign) {
+ adj = 1.;
+ goto apply_adj;
+ }
+ }
+ else if (!dsign) {
+ adj = -1.;
+ if (!dword1(rv)
+ && !(dword0(rv) & Frac_mask)) {
+ y = dword0(rv) & Exp_mask;
+#ifdef Avoid_Underflow
+ if (!scale || y > 2*P*Exp_msk1)
#else
- L = (word0 (rv) & Exp_mask) - Exp_msk1;
+ if (y)
#endif
- word0 (rv) = L | Bndry_mask1;
-#ifndef _DOUBLE_IS_32BITS
- word1 (rv) = 0xffffffff;
+ {
+ delta = lshift(ptr, delta,Log2P);
+ if (cmp(delta, bs) <= 0)
+ adj = -0.5;
+ }
+ }
+ apply_adj:
+#ifdef Avoid_Underflow
+ if (scale && (y = dword0(rv) & Exp_mask)
+ <= 2*P*Exp_msk1)
+ dword0(adj) += (2*P+1)*Exp_msk1 - y;
+#else
+#ifdef Sudden_Underflow
+ if ((dword0(rv) & Exp_mask) <=
+ P*Exp_msk1) {
+ dword0(rv) += P*Exp_msk1;
+ dval(rv) += adj*ulp(dval(rv));
+ dword0(rv) -= P*Exp_msk1;
+ }
+ else
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ dval(rv) += adj*ulp(dval(rv));
+ }
+ break;
+ }
+ adj = ratio(delta, bs);
+ if (adj < 1.)
+ adj = 1.;
+ if (adj <= 0x7ffffffe) {
+ /* adj = rounding ? ceil(adj) : floor(adj); */
+ y = adj;
+ if (y != adj) {
+ if (!((rounding>>1) ^ dsign))
+ y++;
+ adj = y;
+ }
+ }
+#ifdef Avoid_Underflow
+ if (scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1)
+ dword0(adj) += (2*P+1)*Exp_msk1 - y;
+#else
+#ifdef Sudden_Underflow
+ if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) {
+ dword0(rv) += P*Exp_msk1;
+ adj *= ulp(dval(rv));
+ if (dsign)
+ dval(rv) += adj;
+ else
+ dval(rv) -= adj;
+ dword0(rv) -= P*Exp_msk1;
+ goto cont;
+ }
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ adj *= ulp(dval(rv));
+ if (dsign)
+ dval(rv) += adj;
+ else
+ dval(rv) -= adj;
+ goto cont;
+ }
+#endif /*Honor_FLT_ROUNDS*/
+
+ if (i < 0) {
+ /* Error is less than half an ulp -- check for
+ * special case of mantissa a power of two.
+ */
+ if (dsign || dword1(rv) || dword0(rv) & Bndry_mask
+#ifdef IEEE_Arith
+#ifdef Avoid_Underflow
+ || (dword0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1
+#else
+ || (dword0(rv) & Exp_mask) <= Exp_msk1
+#endif
+#endif
+ ) {
+#ifdef SET_INEXACT
+ if (!delta->x[0] && delta->wds <= 1)
+ inexact = 0;
+#endif
+ break;
+ }
+ if (!delta->_x[0] && delta->_wds <= 1) {
+ /* exact result */
+#ifdef SET_INEXACT
+ inexact = 0;
+#endif
+ break;
+ }
+ delta = lshift(ptr,delta,Log2P);
+ if (cmp(delta, bs) > 0)
+ goto drop_down;
+ break;
+ }
+ if (i == 0) {
+ /* exactly half-way between */
+ if (dsign) {
+ if ((dword0(rv) & Bndry_mask1) == Bndry_mask1
+ && dword1(rv) == (
+#ifdef Avoid_Underflow
+ (scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1)
+ ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
+#endif
+ 0xffffffff)) {
+ /*boundary case -- increment exponent*/
+ dword0(rv) = (dword0(rv) & Exp_mask)
+ + Exp_msk1
+#ifdef IBM
+ | Exp_msk1 >> 4
+#endif
+ ;
+ dword1(rv) = 0;
+#ifdef Avoid_Underflow
+ dsign = 0;
#endif
+ break;
+ }
+ }
+ else if (!(dword0(rv) & Bndry_mask) && !dword1(rv)) {
+ drop_down:
+ /* boundary case -- decrement exponent */
+#ifdef Sudden_Underflow /*{{*/
+ L = dword0(rv) & Exp_mask;
+#ifdef IBM
+ if (L < Exp_msk1)
+#else
+#ifdef Avoid_Underflow
+ if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
+#else
+ if (L <= Exp_msk1)
+#endif /*Avoid_Underflow*/
+#endif /*IBM*/
+ goto undfl;
+ L -= Exp_msk1;
+#else /*Sudden_Underflow}{*/
+#ifdef Avoid_Underflow
+ if (scale) {
+ L = dword0(rv) & Exp_mask;
+ if (L <= (2*P+1)*Exp_msk1) {
+ if (L > (P+2)*Exp_msk1)
+ /* round even ==> */
+ /* accept rv */
+ break;
+ /* rv = smallest denormal */
+ goto undfl;
+ }
+ }
+#endif /*Avoid_Underflow*/
+ L = (dword0(rv) & Exp_mask) - Exp_msk1;
+#endif /*Sudden_Underflow}*/
+ dword0(rv) = L | Bndry_mask1;
+ dword1(rv) = 0xffffffff;
#ifdef IBM
- goto cont;
+ goto cont;
#else
- break;
+ break;
#endif
- }
+ }
#ifndef ROUND_BIASED
- if (!(word1 (rv) & LSB))
- break;
+ if (!(dword1(rv) & LSB))
+ break;
#endif
- if (dsign)
- rv.d += ulp (rv.d);
+ if (dsign)
+ dval(rv) += ulp(dval(rv));
#ifndef ROUND_BIASED
- else
- {
- rv.d -= ulp (rv.d);
+ else {
+ dval(rv) -= ulp(dval(rv));
#ifndef Sudden_Underflow
- if (!rv.d)
- goto undfl;
-#endif
- }
-#endif
- break;
- }
- if ((aadj = ratio (delta, bs)) <= 2.)
- {
- if (dsign)
- aadj = aadj1 = 1.;
- else if (word1 (rv) || word0 (rv) & Bndry_mask)
- {
+ if (!dval(rv))
+ goto undfl;
+#endif
+ }
+#ifdef Avoid_Underflow
+ dsign = 1 - dsign;
+#endif
+#endif
+ break;
+ }
+ if ((aadj = ratio(delta, bs)) <= 2.) {
+ if (dsign)
+ aadj = aadj1 = 1.;
+ else if (dword1(rv) || dword0(rv) & Bndry_mask) {
#ifndef Sudden_Underflow
- if (word1 (rv) == Tiny1 && !word0 (rv))
- goto undfl;
-#endif
- aadj = 1.;
- aadj1 = -1.;
- }
- else
- {
- /* special case -- power of FLT_RADIX to be */
- /* rounded down... */
-
- if (aadj < 2. / FLT_RADIX)
- aadj = 1. / FLT_RADIX;
- else
- aadj *= 0.5;
- aadj1 = -aadj;
- }
- }
- else
- {
- aadj *= 0.5;
- aadj1 = dsign ? aadj : -aadj;
+ if (dword1(rv) == Tiny1 && !dword0(rv))
+ goto undfl;
+#endif
+ aadj = 1.;
+ aadj1 = -1.;
+ }
+ else {
+ /* special case -- power of FLT_RADIX to be */
+ /* rounded down... */
+
+ if (aadj < 2./FLT_RADIX)
+ aadj = 1./FLT_RADIX;
+ else
+ aadj *= 0.5;
+ aadj1 = -aadj;
+ }
+ }
+ else {
+ aadj *= 0.5;
+ aadj1 = dsign ? aadj : -aadj;
#ifdef Check_FLT_ROUNDS
- switch (FLT_ROUNDS)
- {
- case 2: /* towards +infinity */
- aadj1 -= 0.5;
- break;
- case 0: /* towards 0 */
- case 3: /* towards -infinity */
- aadj1 += 0.5;
- }
+ switch(Rounding) {
+ case 2: /* towards +infinity */
+ aadj1 -= 0.5;
+ break;
+ case 0: /* towards 0 */
+ case 3: /* towards -infinity */
+ aadj1 += 0.5;
+ }
#else
- if (FLT_ROUNDS == 0)
- aadj1 += 0.5;
-#endif
- }
- y = word0 (rv) & Exp_mask;
-
- /* Check for overflow */
-
- if (y == Exp_msk1 * (DBL_MAX_EXP + Bias - 1))
- {
- rv0.d = rv.d;
- word0 (rv) -= P * Exp_msk1;
- adj = aadj1 * ulp (rv.d);
- rv.d += adj;
- if ((word0 (rv) & Exp_mask) >=
- Exp_msk1 * (DBL_MAX_EXP + Bias - P))
- {
- if (word0 (rv0) == Big0 && word1 (rv0) == Big1)
- goto ovfl;
-#ifdef _DOUBLE_IS_32BITS
- word0 (rv) = Big1;
+ if (Flt_Rounds == 0)
+ aadj1 += 0.5;
+#endif /*Check_FLT_ROUNDS*/
+ }
+ y = dword0(rv) & Exp_mask;
+
+ /* Check for overflow */
+
+ if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
+ dval(rv0) = dval(rv);
+ dword0(rv) -= P*Exp_msk1;
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+ if ((dword0(rv) & Exp_mask) >=
+ Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
+ if (dword0(rv0) == Big0 && dword1(rv0) == Big1)
+ goto ovfl;
+ dword0(rv) = Big0;
+ dword1(rv) = Big1;
+ goto cont;
+ }
+ else
+ dword0(rv) += P*Exp_msk1;
+ }
+ else {
+#ifdef Avoid_Underflow
+ if (scale && y <= 2*P*Exp_msk1) {
+ if (aadj <= 0x7fffffff) {
+ if ((z = aadj) <= 0)
+ z = 1;
+ aadj = z;
+ aadj1 = dsign ? aadj : -aadj;
+ }
+ dword0(aadj1) += (2*P+1)*Exp_msk1 - y;
+ }
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
#else
- word0 (rv) = Big0;
- word1 (rv) = Big1;
-#endif
- goto cont;
- }
- else
- word0 (rv) += P * Exp_msk1;
- }
- else
- {
#ifdef Sudden_Underflow
- if ((word0 (rv) & Exp_mask) <= P * Exp_msk1)
- {
- rv0.d = rv.d;
- word0 (rv) += P * Exp_msk1;
- adj = aadj1 * ulp (rv.d);
- rv.d += adj;
+ if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) {
+ dval(rv0) = dval(rv);
+ dword0(rv) += P*Exp_msk1;
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
#ifdef IBM
- if ((word0 (rv) & Exp_mask) < P * Exp_msk1)
+ if ((dword0(rv) & Exp_mask) < P*Exp_msk1)
#else
- if ((word0 (rv) & Exp_mask) <= P * Exp_msk1)
+ if ((dword0(rv) & Exp_mask) <= P*Exp_msk1)
#endif
- {
- if (word0 (rv0) == Tiny0
- && word1 (rv0) == Tiny1)
- goto undfl;
- word0 (rv) = Tiny0;
- word1 (rv) = Tiny1;
- goto cont;
+ {
+ if (dword0(rv0) == Tiny0
+ && dword1(rv0) == Tiny1)
+ goto undfl;
+ dword0(rv) = Tiny0;
+ dword1(rv) = Tiny1;
+ goto cont;
+ }
+ else
+ dword0(rv) -= P*Exp_msk1;
+ }
+ else {
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+ }
+#else /*Sudden_Underflow*/
+ /* Compute adj so that the IEEE rounding rules will
+ * correctly round rv + adj in some half-way cases.
+ * If rv * ulp(rv) is denormalized (i.e.,
+ * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
+ * trouble from bits lost to denormalization;
+ * example: 1.2e-307 .
+ */
+ if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
+ aadj1 = (double)(int)(aadj + 0.5);
+ if (!dsign)
+ aadj1 = -aadj1;
+ }
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ }
+ z = dword0(rv) & Exp_mask;
+#ifndef SET_INEXACT
+#ifdef Avoid_Underflow
+ if (!scale)
+#endif
+ if (y == z) {
+ /* Can we stop now? */
+ L = (Long)aadj;
+ aadj -= L;
+ /* The tolerances below are conservative. */
+ if (dsign || dword1(rv) || dword0(rv) & Bndry_mask) {
+ if (aadj < .4999999 || aadj > .5000001)
+ break;
+ }
+ else if (aadj < .4999999/FLT_RADIX)
+ break;
+ }
+#endif
+ cont:
+ Bfree(ptr,bb);
+ Bfree(ptr,bd);
+ Bfree(ptr,bs);
+ Bfree(ptr,delta);
}
- else
- word0 (rv) -= P * Exp_msk1;
- }
- else
- {
- adj = aadj1 * ulp (rv.d);
- rv.d += adj;
- }
-#else
- /* Compute adj so that the IEEE rounding rules will
- * correctly round rv.d + adj in some half-way cases.
- * If rv.d * ulp(rv.d) is denormalized (i.e.,
- * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
- * trouble from bits lost to denormalization;
- * example: 1.2e-307 .
- */
- if (y <= (P - 1) * Exp_msk1 && aadj >= 1.)
- {
- aadj1 = (double) (int) (aadj + 0.5);
- if (!dsign)
- aadj1 = -aadj1;
- }
- adj = aadj1 * ulp (rv.d);
- rv.d += adj;
-#endif
- }
- z = word0 (rv) & Exp_mask;
- if (y == z)
- {
- /* Can we stop now? */
- L = aadj;
- aadj -= L;
- /* The tolerances below are conservative. */
- if (dsign || word1 (rv) || word0 (rv) & Bndry_mask)
- {
- if (aadj < .4999999 || aadj > .5000001)
- break;
- }
- else if (aadj < .4999999 / FLT_RADIX)
- break;
- }
- cont:
- Bfree (ptr, bb);
- Bfree (ptr, bd);
- Bfree (ptr, bs);
- Bfree (ptr, delta);
- }
-retfree:
- Bfree (ptr, bb);
- Bfree (ptr, bd);
- Bfree (ptr, bs);
- Bfree (ptr, bd0);
- Bfree (ptr, delta);
-ret:
- if (se)
- *se = (char *) s;
-
- if (nanflag)
- return nan (NULL);
- return (sign && (s != s00)) ? -rv.d : rv.d;
+#ifdef SET_INEXACT
+ if (inexact) {
+ if (!oldinexact) {
+ dword0(rv0) = Exp_1 + (70 << Exp_shift);
+ dword1(rv0) = 0;
+ dval(rv0) += 1.;
+ }
+ }
+ else if (!oldinexact)
+ clear_inexact();
+#endif
+#ifdef Avoid_Underflow
+ if (scale) {
+ dword0(rv0) = Exp_1 - 2*P*Exp_msk1;
+ dword1(rv0) = 0;
+ dval(rv) *= dval(rv0);
+#ifndef NO_ERRNO
+ /* try to avoid the bug of testing an 8087 register value */
+ if (dword0(rv) == 0 && dword1(rv) == 0)
+ ptr->_errno = ERANGE;
+#endif
+ }
+#endif /* Avoid_Underflow */
+#ifdef SET_INEXACT
+ if (inexact && !(dword0(rv) & Exp_mask)) {
+ /* set underflow bit */
+ dval(rv0) = 1e-300;
+ dval(rv0) *= dval(rv0);
+ }
+#endif
+ retfree:
+ Bfree(ptr,bb);
+ Bfree(ptr,bd);
+ Bfree(ptr,bs);
+ Bfree(ptr,bd0);
+ Bfree(ptr,delta);
+ ret:
+ if (se)
+ *se = (char *)s;
+ return sign ? -dval(rv) : dval(rv);
}
#ifndef NO_REENT