* mingwex/gdtoa: New directory.
* mingwex/gdtoa/(arithchk.c, dmisc.c, dtoa.c, g__fmt.c, g_dfmt.c,
g_ffmt.c, g_xfmt.c, gd_arith.h, gd_qnan.h, gdtoa.c, gdtoa.h,
gdtoaimp.h, gethex.c, gmisc.c, hd_init.c, hexnan.c, misc.c, qnan.c,
README, smisc.c, strtodg.c, strtodnrp.c, strtof.c, strtopx.c, sum.c,
ulp.c): New files.
* mingwex/(strtof.c, strtold.c, ldtoa.c): Remove files.
* mingwex/math/(cephes-emath.c, cephes-emath.h): Remove files.
* mingwex/mb_wc_common.h (get_cp_from_locale); Rename to get_codepage().
* mingwex/(btowc.c, wctob.c, mbrtowc.c, wcrtomb.c): Adjust call to get_codepage().
* mingwex/wcstold.c: Avoid using strtold internals.
* mingwex/wcstof.c: Rewrite.
* mingwex/Makefile.in (GDTOA_DISTFILES): Add to distribution.
(GDTOA_OBJS): Add to library.
(DISTFILES): Remove strtof.c strtold.c ldtoa.c cephes-emath.c cephes-emath.h.
(STDLIB_OBJS): Remove.
(STDLIB_STUB_OBJS): Remove strtof.o wcstof,o.
(Q8_OBJS): Add wcstof.o wcstold.o.
* include/stdlib.h (strtof): Remove inline definition.
(wcstof): Likewise.
* include/wchar.h (wcstof): Remove inline definition.
+2006-09-01 Danny Smith <dannysmith@users.sourceforge.net>
+
+ * mingwex/gdtoa/(arithchk.c, dmisc.c, dtoa.c, g__fmt.c, g_dfmt.c,
+ g_ffmt.c, g_xfmt.c, gd_arith.h, gd_qnan.h, gdtoa.c, gdtoa.h,
+ gdtoaimp.h, gethex.c, gmisc.c, hd_init.c, hexnan.c, misc.c, qnan.c,
+ README, smisc.c, strtodg.c, strtodnrp.c, strtof.c, strtopx.c, sum.c,
+ ulp.c): New files.
+ * mingwex/(strtof.c, strtold.c, ldtoa.c): Remove files.
+ * mingwex/math/(cephes-emath.c, cephes-emath.h): Remove files.
+ * mingwex/mb_wc_common.h (get_cp_from_locale); Rename to get_codepage().
+ * mingwex/(btowc.c, wctob.c, mbrtowc.c, wcrtomb.c): Adjust call to get_codepage().
+ * mingwex/wcstold.c: Avoid using strtold internals.
+ * mingwex/wcstof.c: Rewrite.
+ * mingwex/Makefile.in (GDTOA_DISTFILES): Add to distribution.
+ (GDTOA_OBJS): Add to library.
+ (DISTFILES): Remove strtof.c strtold.c ldtoa.c cephes-emath.c cephes-emath.h.
+ (STDLIB_OBJS): Remove.
+ (STDLIB_STUB_OBJS): Remove strtof.o wcstof,o.
+ (Q8_OBJS): Add wcstof.o wcstold.o.
+ * include/stdlib.h (strtof): Remove inline definition.
+ (wcstof): Likewise.
+ * include/wchar.h (wcstof): Remove inline definition.
+
2006-08-30 Corinna Vinschen <corinna@vinschen.de>
* Makefile.in: Add with_cross_host to allow more granular checks.
(mainCRTStartup): Change return to void.
(WinMainCRTStartup): Likewise.
-
2004-08-15 Danny Smith <dannysmith@users.sourceforge.net>
* profile/COPYING: New file.
_CRTIMP long __cdecl _wtol (const wchar_t *);
#endif
_CRTIMP double __cdecl strtod (const char*, char**);
-#if !defined __NO_ISOCEXT /* extern stub in static libmingwex.a */
-float __cdecl strtof (const char *, char **);
-__CRT_INLINE float __cdecl strtof (const char *__nptr, char **__endptr)
- { return (strtod (__nptr, __endptr));}
+#if !defined __NO_ISOCEXT /* in libmingwex.a */
+float __cdecl strtof (const char * __restrict__, char ** __restrict__);
long double __cdecl strtold (const char * __restrict__, char ** __restrict__);
#endif /* __NO_ISOCEXT */
#ifndef _WSTDLIB_DEFINED
/* also declared in wchar.h */
_CRTIMP double __cdecl wcstod (const wchar_t*, wchar_t**);
-#if !defined __NO_ISOCEXT /* extern stub in static libmingwex.a */
-float __cdecl wcstof( const wchar_t *, wchar_t **);
-__CRT_INLINE float __cdecl wcstof( const wchar_t *__nptr, wchar_t **__endptr)
-{ return (wcstod(__nptr, __endptr)); }
+#if !defined __NO_ISOCEXT /* in libmingwex.a */
+float __cdecl wcstof( const wchar_t * __restrict__, wchar_t ** __restrict__);
long double __cdecl wcstold (const wchar_t * __restrict__, wchar_t ** __restrict__);
#endif /* __NO_ISOCEXT */
_CRTIMP long __cdecl wcstol (const wchar_t*, wchar_t**, int);
_CRTIMP unsigned long __cdecl wcstoul (const wchar_t*, wchar_t**, int);
_CRTIMP double __cdecl wcstod (const wchar_t*, wchar_t**);
-#if !defined __NO_ISOCEXT /* extern stub in static libmingwex.a */
-__CRT_INLINE float __cdecl wcstof( const wchar_t *nptr, wchar_t **endptr)
-{ return (wcstod(nptr, endptr)); }
+#if !defined __NO_ISOCEXT /* in libmingwex.a */
+float __cdecl wcstof (const wchar_t * __restrict__, wchar_t ** __restrict__);
long double __cdecl wcstold (const wchar_t * __restrict__, wchar_t ** __restrict__);
#endif /* __NO_ISOCEXT */
#define _WSTDLIB_DEFINED
# This makefile requires GNU make.
srcdir = @srcdir@
-VPATH = $(srcdir):$(srcdir)/math:$(srcdir)/stdio:$(srcdir)/complex
+VPATH = $(srcdir):$(srcdir)/math:$(srcdir)/stdio:$(srcdir)/complex $(srcdir)/gdtoa
objdir = .
target_alias = @target_alias@
fegetexceptflag.c fegetround.c feholdexcept.c feraiseexcept.c \
fesetenv.c fesetexceptflag.c fesetround.c fetestexcept.c \
feupdateenv.c ftruncate.c fwide.c getopt.c imaxabs.c imaxdiv.c \
- ldtoa.c lltoa.c lltow.c mbsinit.c mingw-aligned-malloc.c \
- mingw-fseek.c sitest.c strtof.c strtoimax.c strtold.c strtoumax.c \
+ lltoa.c lltow.c mbsinit.c mingw-aligned-malloc.c \
+ mingw-fseek.c sitest.c strtoimax.c strtoumax.c \
testwmem.c tst-aligned-malloc.c ulltoa.c ulltow.c wcstof.c \
wcstoimax.c wcstold.c wcstoumax.c wctrans.c wctype.c \
wdirent.c wmemchr.c wmemcmp.c wmemcpy.c wmemmove.c wmemset.c wtoll.c \
wcrtomb.c wctob.c mbrtowc.c btowc.c mb_wc_common.h \
gettimeofday.c isblank.c iswblank.c
+
MATH_DISTFILES = \
acosf.c acosl.c asinf.c asinl.c atan2f.c atan2l.c \
atanf.c atanl.c cbrt.c cbrtf.c cbrtl.c ceilf.S ceill.S \
- cephes_emath.h cephes_emath.c cephes_mconf.h \
+ cephes_mconf.h \
copysign.S copysignf.S copysignl.S cosf.S coshf.c coshl.c cosl.S \
erfl.c exp2.S exp2f.S exp2l.S expf.c expl.c expm1.c expm1l.c expm1f.c \
fabs.c fabsf.c fabsl.c \
csinl.c csinh.c csinhf.c csinhl.c csqrt.c csqrtf.c csqrtl.c \
ctan.c ctanf.c ctanl.c ctanh.c ctanhf.c ctanhl.c
+GDTOA_DISTFILES = \
+ arithchk.c dmisc.c dtoa.c g__fmt.c g_dfmt.c g_ffmt.c g_xfmt.c \
+ gd_arith.h gd_qnan.h gdtoa.c gdtoa.h gdtoaimp.h gethex.c gmisc.c \
+ hd_init.c hexnan.c misc.c qnan.c README smisc.c strtodg.c strtodnrp.c \
+ strtof.c strtopx.c sum.c ulp.c
+
CC = @CC@
# FIXME: Which is it, CC or CC_FOR_TARGET?
CC_FOR_TARGET = $(CC)
AS_FOR_TARGET = $(AS)
-CFLAGS = @CFLAGS@ -Wall
+CFLAGS = @CFLAGS@
CXXFLAGS = @CXXFLAGS@
-OPTFLAGS= -fomit-frame-pointer
+OPTFLAGS = -fomit-frame-pointer
+WARNFLAGS = -Wall
+
# compiling with Cygwin?
MNO_CYGWIN = @MNO_CYGWIN@
INCLUDES = -I$(srcdir) -I$(srcdir)/.. -I$(srcdir)/../include \
-nostdinc \
-iwithprefixbefore include
-ALL_CFLAGS = $(CFLAGS) $(OPTFLAGS) $(W32API_INCLUDE) $(INCLUDES) $(MNO_CYGWIN)
-ALL_CXXFLAGS = $(CXXFLAGS) $(OPTFLAGS) $(W32API_INCLUDE) $(INCLUDES) -nostdinc++ $(MNO_CYGWIN)
+ALL_CFLAGS = $(CFLAGS) $(WARNFLAGS) $(OPTFLAGS) $(W32API_INCLUDE) $(INCLUDES) $(MNO_CYGWIN)
+ALL_CXXFLAGS = $(CXXFLAGS) $(WARNFLAGS) $(OPTFLAGS) $(W32API_INCLUDE) $(INCLUDES) -nostdinc++ $(MNO_CYGWIN)
AS = @AS@
AR = @AR@
fwide.o imaxabs.o imaxdiv.o mbsinit.o \
strtoimax.o strtoumax.o wcstoimax.o wcstoumax.o \
wmemchr.o wmemcmp.o wmemcpy.o wmemmove.o wmemset.o \
- wctrans.o wctype.o wcrtomb.o wctob.o mbrtowc.o btowc.o
+ wctrans.o wctype.o wcrtomb.o wctob.o mbrtowc.o btowc.o \
+ wcstof.o wcstold.o
CTYPE_OBJS = \
isblank.o iswblank.o
-STDLIB_OBJS = \
- strtold.o wcstold.o
STDLIB_STUB_OBJS = \
lltoa.o ulltoa.o \
lltow.o ulltow.o \
atoll.o wtoll.o \
- strtof.o wcstof.o \
_Exit.o
STDIO_OBJS = \
fopen64.o fseeko64.o ftello64.o lseek64.o \
MATH_OBJS = \
acosf.o acosl.o asinf.o asinl.o atan2f.o atan2l.o \
atanf.o atanl.o cbrt.o cbrtf.o cbrtl.o ceilf.o ceill.o \
- cephes_emath.o \
copysign.o copysignf.o copysignl.o cosf.o coshf.o coshl.o cosl.o \
erfl.o exp2.o exp2f.o exp2l.o expf.o expl.o expm1.o expm1l.o expm1f.o \
fabs.o fabsf.o fabsl.o \
cprojf.o cprojl.o creal.o crealf.o creall.o csin.o csinf.o \
csinl.o csinh.o csinhf.o csinhl.o csqrt.o csqrtf.o csqrtl.o \
ctan.o ctanf.o ctanl.o ctanh.o ctanhf.o ctanhl.o
-
-LIB_OBJS = $(Q8_OBJS) $(CTYPE_OBJS) $(STDLIB_OBJS) $(STDLIB_STUB_OBJS) \
+GDTOA_OBJS = \
+ dmisc.o dtoa.o g__fmt.o g_dfmt.o g_ffmt.o g_xfmt.o gdtoa.o \
+ gethex.o gmisc.o hd_init.o hexnan.o misc.o smisc.o \
+ strtodg.o strtodnrp.o strtof.o strtopx.o sum.o ulp.o
+LIB_OBJS = $(Q8_OBJS) $(CTYPE_OBJS) $(STDLIB_STUB_OBJS) \
$(STDIO_OBJS) $(MATH_OBJS) $(FENV_OBJS) \
- $(POSIX_OBJS) $(REPLACE_OBJS) $(COMPLEX_OBJS)
+ $(POSIX_OBJS) $(REPLACE_OBJS) $(COMPLEX_OBJS) \
+ $(GDTOA_OBJS)
LIBS = $(LIBMINGWEX_A)
DLLS =
$(AR) $(ARFLAGS) $@ $(LIB_OBJS)
$(RANLIB) $@
-
Makefile: Makefile.in config.status configure
$(SHELL) config.status
# Dependancies
#
wdirent.o: $(srcdir)/dirent.c $(srcdir)/wdirent.c
-strtold.o: $(srcdir)/strtold.c $(srcdir)/math/cephes_emath.h
-wcstold.o: $(srcdir)/wcstold.c $(srcdir)/math/cephes_emath.h
acosh.o acoshf.o acoshl.o \
asinh.o asinhf.o asinhl.o \
atanh.o atanhf.o atanhl.o: fastmath.h
-mbrtowc.o wcrtomb.o: mb_wc_common.h
+mbrtowc.o wcrtomb.o wcstof.o wcstold.o: mb_wc_common.h
+
+$(GDTOA_OBJS): gd_arith.h gdtoa.h gdtoaimp.h gd_qnan.h
dist:
mkdir $(distdir)/mingwex
@for i in $(COMPLEX_DISTFILES); do\
cp -p $(srcdir)/complex/$$i $(distdir)/mingwex/complex/$$i ; \
done
-
+ mkdir $(distdir)/mingwex/gdtoa
+ chmod 755 $(distdir)/mingwex/gdtoa
+ @for i in $(GDTOA_DISTFILES); do\
+ cp -p $(srcdir)/gdtoa/$$i $(distdir)/mingwex/gdtoa/$$i ; \
+ done
{
unsigned char ch = c;
wchar_t wc = WEOF;
- MultiByteToWideChar (get_cp_from_locale(), MB_ERR_INVALID_CHARS,
+ MultiByteToWideChar (get_codepage(), MB_ERR_INVALID_CHARS,
(char*)&ch, 1, &wc, 1);
return wc;
}
--- /dev/null
+This directory contains source for a library of binary -> decimal
+and decimal -> binary conversion routines, for single-, double-,
+and extended-precision IEEE binary floating-point arithmetic, and
+other IEEE-like binary floating-point, including "double double",
+as in
+
+ T. J. Dekker, "A Floating-Point Technique for Extending the
+ Available Precision", Numer. Math. 18 (1971), pp. 224-242
+
+and
+
+ "Inside Macintosh: PowerPC Numerics", Addison-Wesley, 1994
+
+The conversion routines use double-precision floating-point arithmetic
+and, where necessary, high precision integer arithmetic. The routines
+are generalizations of the strtod and dtoa routines described in
+
+ David M. Gay, "Correctly Rounded Binary-Decimal and
+ Decimal-Binary Conversions", Numerical Analysis Manuscript
+ No. 90-10, Bell Labs, Murray Hill, 1990;
+ http://cm.bell-labs.com/cm/cs/what/ampl/REFS/rounding.ps.gz
+
+(based in part on papers by Clinger and Steele & White: see the
+references in the above paper).
+
+The present conversion routines should be able to use any of IEEE binary,
+VAX, or IBM-mainframe double-precision arithmetic internally, but I (dmg)
+have so far only had a chance to test them with IEEE double precision
+arithmetic.
+
+The core conversion routines are strtodg for decimal -> binary conversions
+and gdtoa for binary -> decimal conversions. These routines operate
+on arrays of unsigned 32-bit integers of type ULong, a signed 32-bit
+exponent of type Long, and arithmetic characteristics described in
+struct FPI; FPI, Long, and ULong are defined in gdtoa.h. File arith.h
+is supposed to provide #defines that cause gdtoa.h to define its
+types correctly. File arithchk.c is source for a program that
+generates a suitable arith.h on all systems where I've been able to
+test it.
+
+The core conversion routines are meant to be called by helper routines
+that know details of the particular binary arithmetic of interest and
+convert. The present directory provides helper routines for 5 variants
+of IEEE binary floating-point arithmetic, each indicated by one or
+two letters:
+
+ f IEEE single precision
+ d IEEE double precision
+ x IEEE extended precision, as on Intel 80x87
+ and software emulations of Motorola 68xxx chips
+ that do not pad the way the 68xxx does, but
+ only store 80 bits
+ xL IEEE extended precision, as on Motorola 68xxx chips
+ Q quad precision, as on Sun Sparc chips
+ dd double double, pairs of IEEE double numbers
+ whose sum is the desired value
+
+For decimal -> binary conversions, there are three families of
+helper routines: one for round-nearest:
+
+ strtof
+ strtod
+ strtodd
+ strtopd
+ strtopf
+ strtopx
+ strtopxL
+ strtopQ
+
+one with rounding direction specified:
+
+ strtorf
+ strtord
+ strtordd
+ strtorx
+ strtorxL
+ strtorQ
+
+and one for computing an interval (at most one bit wide) that contains
+the decimal number:
+
+ strtoIf
+ strtoId
+ strtoIdd
+ strtoIx
+ strtoIxL
+ strtoIQ
+
+The latter call strtoIg, which makes one call on strtodg and adjusts
+the result to provide the desired interval. On systems where native
+arithmetic can easily make one-ulp adjustments on values in the
+desired floating-point format, it might be more efficient to use the
+native arithmetic. Routine strtodI is a variant of strtoId that
+illustrates one way to do this for IEEE binary double-precision
+arithmetic -- but whether this is more efficient remains to be seen.
+
+Functions strtod and strtof have "natural" return types, float and
+double -- strtod is specified by the C standard, and strtof appears
+in the stdlib.h of some systems, such as (at least some) Linux systems.
+The other functions write their results to their final argument(s):
+to the final two argument for the strtoI... (interval) functions,
+and to the final argument for the others (strtop... and strtor...).
+Where possible, these arguments have "natural" return types (double*
+or float*), to permit at least some type checking. In reality, they
+are viewed as arrays of ULong (or, for the "x" functions, UShort)
+values. On systems where long double is the appropriate type, one can
+pass long double* final argument(s) to these routines. The int value
+that these routines return is the return value from the call they make
+on strtodg; see the enum of possible return values in gdtoa.h.
+
+Source files g_ddfmt.c, misc.c, smisc.c, strtod.c, strtodg.c, and ulp.c
+should use true IEEE double arithmetic (not, e.g., double extended),
+at least for storing (and viewing the bits of) the variables declared
+"double" within them.
+
+One detail indicated in struct FPI is whether the target binary
+arithmetic departs from the IEEE standard by flushing denormalized
+numbers to 0. On systems that do this, the helper routines for
+conversion to double-double format (when compiled with
+Sudden_Underflow #defined) penalize the bottom of the exponent
+range so that they return a nonzero result only when the least
+significant bit of the less significant member of the pair of
+double values returned can be expressed as a normalized double
+value. An alternative would be to drop to 53-bit precision near
+the bottom of the exponent range. To get correct rounding, this
+would (in general) require two calls on strtodg (one specifying
+126-bit arithmetic, then, if necessary, one specifying 53-bit
+arithmetic).
+
+By default, the core routine strtodg and strtod set errno to ERANGE
+if the result overflows to +Infinity or underflows to 0. Compile
+these routines with NO_ERRNO #defined to inhibit errno assignments.
+
+Routine strtod is based on netlib's "dtoa.c from fp", and
+(f = strtod(s,se)) is more efficient for some conversions than, say,
+strtord(s,se,1,&f). Parts of strtod require true IEEE double
+arithmetic with the default rounding mode (round-to-nearest) and, on
+systems with IEEE extended-precision registers, double-precision
+(53-bit) rounding precision. 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.
+
+Source file strtodnrp.c gives a strtod that does not require 53-bit
+rounding precision on systems (such as Intel IA32 systems) that may
+suffer double rounding due to use of extended-precision registers.
+For some conversions this variant of strtod is less efficient than the
+one in strtod.c when the latter is run with 53-bit rounding precision.
+
+The values that the strto* routines return for NaNs are determined by
+gd_qnan.h, which the makefile generates by running the program whose
+source is qnan.c. Note that the rules for distinguishing signaling
+from quiet NaNs are system-dependent. For cross-compilation, you need
+to determine arith.h and gd_qnan.h suitably, e.g., using the
+arithmetic of the target machine.
+
+C99's hexadecimal floating-point constants are recognized by the
+strto* routines (but this feature has not yet been heavily tested).
+Compiling with NO_HEX_FP #defined disables this feature.
+
+When compiled with -DINFNAN_CHECK, the strto* routines recognize C99's
+NaN and Infinity syntax. Moreover, unless No_Hex_NaN is #defined, the
+strto* routines also recognize C99's NaN(...) syntax: they accept
+(case insensitively) strings of the form NaN(x), where x is a string
+of hexadecimal digits 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.
+
+For binary -> decimal conversions, I've provided just one family
+of helper routines:
+
+ g_ffmt
+ g_dfmt
+ g_ddfmt
+ g_xfmt
+ g_xLfmt
+ g_Qfmt
+
+which do a "%g" style conversion either to a specified number of decimal
+places (if their ndig argument is positive), or to the shortest
+decimal string that rounds to the given binary floating-point value
+(if ndig <= 0). They write into a buffer supplied as an argument
+and return either a pointer to the end of the string (a null character)
+in the buffer, if the buffer was long enough, or 0. Other forms of
+conversion are easily done with the help of gdtoa(), such as %e or %f
+style and conversions with direction of rounding specified (so that, if
+desired, the decimal value is either >= or <= the binary value).
+
+For an example of more general conversions based on dtoa(), see
+netlib's "printf.c from ampl/solvers".
+
+For double-double -> decimal, g_ddfmt() assumes IEEE-like arithmetic
+of precision max(126, #bits(input)) bits, where #bits(input) is the
+number of mantissa bits needed to represent the sum of the two double
+values in the input.
+
+The makefile creates a library, gdtoa.a. To use the helper
+routines, a program only needs to include gdtoa.h. All the
+source files for gdtoa.a include a more extensive gdtoaimp.h;
+among other things, gdtoaimp.h has #defines that make "internal"
+names end in _D2A. To make a "system" library, one could modify
+these #defines to make the names start with __.
+
+Various comments about possible #defines appear in gdtoaimp.h,
+but for most purposes, arith.h should set suitable #defines.
+
+Systems with preemptive scheduling of multiple threads require some
+manual intervention. On such systems, it's necessary to compile
+dmisc.c, dtoa.c gdota.c, and misc.c with MULTIPLE_THREADS #defined,
+and to 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.)
+Routines that call dtoa or gdtoa directly must also invoke freedtoa(s)
+to free the value s returned by dtoa or gdtoa. It's OK to do so whether
+or not MULTIPLE_THREADS is #defined, and the helper g_*fmt routines
+listed above all do this indirectly (in gfmt_D2A(), which they all call).
+
+By default, there is a private pool of memory of length 2000 bytes
+for intermediate quantities, and MALLOC (see gdtoaimp.h) is called only
+if the private pool does not suffice. 2000 is large enough that MALLOC
+is called only under very unusual circumstances (decimal -> binary
+conversion of very long strings) for conversions to and from double
+precision. For systems with preemptively scheduled multiple threads
+or for conversions to extended or quad, it may be appropriate to
+#define PRIVATE_MEM nnnn, where nnnn is a suitable value > 2000.
+For extended and quad precisions, -DPRIVATE_MEM=20000 is probably
+plenty even for many digits at the ends of the exponent range.
+Use of the private pool avoids some overhead.
+
+Directory test provides some test routines. See its README.
+I've also tested this stuff (except double double conversions)
+with Vern Paxson's testbase program: see
+
+ V. Paxson and W. Kahan, "A Program for Testing IEEE Binary-Decimal
+ Conversion", manuscript, May 1991,
+ ftp://ftp.ee.lbl.gov/testbase-report.ps.Z .
+
+(The same ftp directory has source for testbase.)
+
+Some system-dependent additions to CFLAGS in the makefile:
+
+ HU-UX: -Aa -Ae
+ OSF (DEC Unix): -ieee_with_no_inexact
+ SunOS 4.1x: -DKR_headers -DBad_float_h
+
+If you want to put this stuff into a shared library and your
+operating system requires export lists for shared libraries,
+the following would be an appropriate export list:
+
+ dtoa
+ freedtoa
+ g_Qfmt
+ g_ddfmt
+ g_dfmt
+ g_ffmt
+ g_xLfmt
+ g_xfmt
+ gdtoa
+ strtoIQ
+ strtoId
+ strtoIdd
+ strtoIf
+ strtoIx
+ strtoIxL
+ strtod
+ strtodI
+ strtodg
+ strtof
+ strtopQ
+ strtopd
+ strtopdd
+ strtopf
+ strtopx
+ strtopxL
+ strtorQ
+ strtord
+ strtordd
+ strtorf
+ strtorx
+ strtorxL
+
+When time permits, I (dmg) hope to write in more detail about the
+present conversion routines; for now, this README file must suffice.
+Meanwhile, if you wish to write helper functions for other kinds of
+IEEE-like arithmetic, some explanation of struct FPI and the bits
+array may be helpful. Both gdtoa and strtodg operate on a bits array
+described by FPI *fpi. The bits array is of type ULong, a 32-bit
+unsigned integer type. Floating-point numbers have fpi->nbits bits,
+with the least significant 32 bits in bits[0], the next 32 bits in
+bits[1], etc. These numbers are regarded as integers multiplied by
+2^e (i.e., 2 to the power of the exponent e), where e is the second
+argument (be) to gdtoa and is stored in *exp by strtodg. The minimum
+and maximum exponent values fpi->emin and fpi->emax for normalized
+floating-point numbers reflect this arrangement. For example, the
+P754 standard for binary IEEE arithmetic specifies doubles as having
+53 bits, with normalized values of the form 1.xxxxx... times 2^(b-1023),
+with 52 bits (the x's) and the biased exponent b represented explicitly;
+b is an unsigned integer in the range 1 <= b <= 2046 for normalized
+finite doubles, b = 0 for denormals, and b = 2047 for Infinities and NaNs.
+To turn an IEEE double into the representation used by strtodg and gdtoa,
+we multiply 1.xxxx... by 2^52 (to make it an integer) and reduce the
+exponent e = (b-1023) by 52:
+
+ fpi->emin = 1 - 1023 - 52
+ fpi->emax = 1046 - 1023 - 52
+
+In various wrappers for IEEE double, we actually write -53 + 1 rather
+than -52, to emphasize that there are 53 bits including one implicit bit.
+Field fpi->rounding indicates the desired rounding direction, with
+possible values
+ FPI_Round_zero = toward 0,
+ FPI_Round_near = unbiased rounding -- the IEEE default,
+ FPI_Round_up = toward +Infinity, and
+ FPI_Round_down = toward -Infinity
+given in gdtoa.h.
+
+Field fpi->sudden_underflow indicates whether strtodg should return
+denormals or flush them to zero. Normal floating-point numbers have
+bit fpi->nbits in the bits array on. Denormals have it off, with
+exponent = fpi->emin. Strtodg provides distinct return values for normals
+and denormals; see gdtoa.h.
+
+Compiling g__fmt.c, strtod.c, and strtodg.c with -DUSE_LOCALE causes
+the decimal-point character to be taken from the current locale; otherwise
+it is '.'.
+
+Please send comments to David M. Gay (dmg at acm dot org, with " at "
+changed at "@" and " dot " changed to ".").
--- /dev/null
+/****************************************************************
+Copyright (C) 1997, 1998 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.
+****************************************************************/
+
+/* Try to deduce arith.h from arithmetic properties. */
+
+#include <stdio.h>
+
+ static int dalign;
+ typedef struct
+Akind {
+ char *name;
+ int kind;
+ } Akind;
+
+ static Akind
+IEEE_8087 = { "IEEE_8087", 1 },
+IEEE_MC68k = { "IEEE_MC68k", 2 },
+IBM = { "IBM", 3 },
+VAX = { "VAX", 4 },
+CRAY = { "CRAY", 5};
+
+ static Akind *
+Lcheck()
+{
+ union {
+ double d;
+ long L[2];
+ } u;
+ struct {
+ double d;
+ long L;
+ } x[2];
+
+ if (sizeof(x) > 2*(sizeof(double) + sizeof(long)))
+ dalign = 1;
+ u.L[0] = u.L[1] = 0;
+ u.d = 1e13;
+ if (u.L[0] == 1117925532 && u.L[1] == -448790528)
+ return &IEEE_MC68k;
+ if (u.L[1] == 1117925532 && u.L[0] == -448790528)
+ return &IEEE_8087;
+ if (u.L[0] == -2065213935 && u.L[1] == 10752)
+ return &VAX;
+ if (u.L[0] == 1267827943 && u.L[1] == 704643072)
+ return &IBM;
+ return 0;
+ }
+
+ static Akind *
+icheck()
+{
+ union {
+ double d;
+ int L[2];
+ } u;
+ struct {
+ double d;
+ int L;
+ } x[2];
+
+ if (sizeof(x) > 2*(sizeof(double) + sizeof(int)))
+ dalign = 1;
+ u.L[0] = u.L[1] = 0;
+ u.d = 1e13;
+ if (u.L[0] == 1117925532 && u.L[1] == -448790528)
+ return &IEEE_MC68k;
+ if (u.L[1] == 1117925532 && u.L[0] == -448790528)
+ return &IEEE_8087;
+ if (u.L[0] == -2065213935 && u.L[1] == 10752)
+ return &VAX;
+ if (u.L[0] == 1267827943 && u.L[1] == 704643072)
+ return &IBM;
+ return 0;
+ }
+
+char *emptyfmt = ""; /* avoid possible warning message with printf("") */
+
+ static Akind *
+ccheck()
+{
+ union {
+ double d;
+ long L;
+ } u;
+ long Cray1;
+
+ /* Cray1 = 4617762693716115456 -- without overflow on non-Crays */
+ Cray1 = printf(emptyfmt) < 0 ? 0 : 4617762;
+ if (printf(emptyfmt, Cray1) >= 0)
+ Cray1 = 1000000*Cray1 + 693716;
+ if (printf(emptyfmt, Cray1) >= 0)
+ Cray1 = 1000000*Cray1 + 115456;
+ u.d = 1e13;
+ if (u.L == Cray1)
+ return &CRAY;
+ return 0;
+ }
+
+ static int
+fzcheck()
+{
+ double a, b;
+ int i;
+
+ a = 1.;
+ b = .1;
+ for(i = 155;; b *= b, i >>= 1) {
+ if (i & 1) {
+ a *= b;
+ if (i == 1)
+ break;
+ }
+ }
+ b = a * a;
+ return b == 0.;
+ }
+
+ int
+main()
+{
+ Akind *a = 0;
+ int Ldef = 0;
+ FILE *f;
+
+#ifdef WRITE_ARITH_H /* for Symantec's buggy "make" */
+ f = fopen("arith.h", "w");
+ if (!f) {
+ printf("Cannot open arith.h\n");
+ return 1;
+ }
+#else
+ f = stdout;
+#endif
+
+ if (sizeof(double) == 2*sizeof(long))
+ a = Lcheck();
+ else if (sizeof(double) == 2*sizeof(int)) {
+ Ldef = 1;
+ a = icheck();
+ }
+ else if (sizeof(double) == sizeof(long))
+ a = ccheck();
+ if (a) {
+ fprintf(f, "#define %s\n#define Arith_Kind_ASL %d\n",
+ a->name, a->kind);
+ if (Ldef)
+ fprintf(f, "#define Long int\n#define Intcast (int)(long)\n");
+ if (dalign)
+ fprintf(f, "#define Double_Align\n");
+ if (sizeof(char*) == 8)
+ fprintf(f, "#define X64_bit_pointers\n");
+#ifndef NO_LONG_LONG
+ if (sizeof(long long) < 8)
+#endif
+ fprintf(f, "#define NO_LONG_LONG\n");
+ if (a->kind <= 2 && fzcheck())
+ fprintf(f, "#define Sudden_Underflow\n");
+ return 0;
+ }
+ fprintf(f, "/* Unknown arithmetic */\n");
+ return 1;
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+ 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);
+ *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);
+ 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
+ }
+
+ 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;
+ }
--- /dev/null
+/****************************************************************
+
+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
+#define Rounding rounding
+#undef Check_FLT_ROUNDS
+#define Check_FLT_ROUNDS
+#else
+#define Rounding Flt_Rounds
+#endif
+
+ char *
+__dtoa
+#ifdef KR_headers
+ (d, mode, ndigits, decpt, sign, rve)
+ double d; int mode, ndigits, *decpt, *sign; char **rve;
+#else
+ (double d, 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 = 0, ilim0, ilim1 = 0,
+ 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;
+ double d2, ds, eps;
+ char *s, *s0;
+#ifdef Honor_FLT_ROUNDS
+ int rounding;
+#endif
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
+
+#ifndef MULTIPLE_THREADS
+ if (dtoa_result) {
+ __freedtoa(dtoa_result);
+ dtoa_result = 0;
+ }
+#endif
+
+ 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 = Flt_Rounds) >= 2) {
+ if (*sign)
+ rounding = rounding == 2 ? 0 : 2;
+ else
+ if (rounding != 2)
+ rounding = 0;
+ }
+#endif
+
+ b = d2b(dval(d), &be, &bbits);
+#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;
+ switch(mode) {
+ case 0:
+ case 1:
+ ilim = ilim1 = -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);
+
+#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);
+ if (dval(d) > ds || (dval(d) == ds && L & 1)) {
+ 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 (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);
+ b1 = mult(mhi, b);
+ Bfree(b);
+ b = b1;
+ }
+ if (( j = b5 - m5 )!=0)
+ b = pow5mult(b, j);
+ }
+ else
+ b = pow5mult(b, b5);
+ }
+ S = i2b(1);
+ if (s5 > 0)
+ S = pow5mult(S, s5);
+
+ /* 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 (s2 > 0)
+ S = lshift(S, s2);
+ if (k_check) {
+ if (cmp(b,S) < 0) {
+ k--;
+ b = multadd(b, 10, 0); /* we botched the k estimate */
+ if (leftright)
+ mhi = multadd(mhi, 10, 0);
+ ilim = ilim1;
+ }
+ }
+ if (ilim <= 0 && (mode == 3 || mode == 5)) {
+ if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 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);
+
+ /* Compute mlo -- check for special case
+ * that d is a normalized power of 2.
+ */
+
+ mlo = mhi;
+ if (spec_case) {
+ mhi = Balloc(mhi->k);
+ Bcopy(mhi, mlo);
+ mhi = lshift(mhi, Log2P);
+ }
+
+ 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);
+ 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);
+ j1 = cmp(b, S);
+ if ((j1 > 0 || (j1 == 0 && dig & 1))
+ && 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 (mlo == mhi)
+ mlo = mhi = multadd(mhi, 10, 0);
+ else {
+ mlo = multadd(mlo, 10, 0);
+ mhi = multadd(mhi, 10, 0);
+ }
+ }
+ }
+ 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);
+ }
+
+ /* Round off last digit */
+
+#ifdef Honor_FLT_ROUNDS
+ switch(rounding) {
+ case 0: goto trimzeros;
+ case 2: goto roundoff;
+ }
+#endif
+ b = lshift(b, 1);
+ j = cmp(b, S);
+ if (j > 0 || (j == 0 && dig & 1)) {
+ roundoff:
+ while(*--s == '9')
+ if (s == s0) {
+ k++;
+ *s++ = '1';
+ goto ret;
+ }
+ ++*s++;
+ }
+ else {
+ // trimzeros:
+ 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;
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+#ifdef USE_LOCALE
+#include "locale.h"
+#endif
+
+ char *
+#ifdef KR_headers
+__g__fmt(b, s, se, decpt, sign) char *b; char *s; char *se; int decpt; ULong sign;
+#else
+__g__fmt(char *b, char *s, char *se, int decpt, ULong sign)
+#endif
+{
+ int i, j, k;
+ char *s0 = s;
+#ifdef USE_LOCALE
+ char decimalpoint = *localeconv()->decimal_point;
+#else
+#define decimalpoint '.'
+#endif
+ if (sign)
+ *b++ = '-';
+ if (decpt <= -4 || decpt > se - s + 5) {
+ *b++ = *s++;
+ if (*s) {
+ *b++ = decimalpoint;
+ while((*b = *s++) !=0)
+ b++;
+ }
+ *b++ = 'e';
+ /* sprintf(b, "%+.2d", decpt - 1); */
+ if (--decpt < 0) {
+ *b++ = '-';
+ decpt = -decpt;
+ }
+ else
+ *b++ = '+';
+ for(j = 2, k = 10; 10*k <= decpt; j++, k *= 10){}
+ for(;;) {
+ i = decpt / k;
+ *b++ = i + '0';
+ if (--j <= 0)
+ break;
+ decpt -= i*k;
+ decpt *= 10;
+ }
+ *b = 0;
+ }
+ else if (decpt <= 0) {
+ *b++ = decimalpoint;
+ for(; decpt < 0; decpt++)
+ *b++ = '0';
+ while((*b = *s++) !=0)
+ b++;
+ }
+ else {
+ while((*b = *s++) !=0) {
+ b++;
+ if (--decpt == 0 && *s)
+ *b++ = decimalpoint;
+ }
+ for(; decpt > 0; decpt--)
+ *b++ = '0';
+ *b = 0;
+ }
+ __freedtoa(s0);
+ return b;
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+ char*
+#ifdef KR_headers
+__g_dfmt(buf, d, ndig, bufsize) char *buf; double *d; int ndig; unsigned bufsize;
+#else
+__g_dfmt(char *buf, double *d, int ndig, unsigned bufsize)
+#endif
+{
+ static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, 0 };
+ char *b, *s, *se;
+ ULong bits[2], *L, sign;
+ int decpt, ex, i, mode;
+
+ if (ndig < 0)
+ ndig = 0;
+ if (bufsize < ndig + 10)
+ return 0;
+
+ L = (ULong*)d;
+ sign = L[_0] & 0x80000000L;
+ if ((L[_0] & 0x7ff00000) == 0x7ff00000) {
+ /* Infinity or NaN */
+ if (L[_0] & 0xfffff || L[_1]) {
+ return strcp(buf, "NaN");
+ }
+ b = buf;
+ if (sign)
+ *b++ = '-';
+ return strcp(b, "Infinity");
+ }
+ if (L[_1] == 0 && (L[_0] ^ sign) == 0 /*d == 0.*/) {
+ b = buf;
+#ifndef IGNORE_ZERO_SIGN
+ if (L[_0] & 0x80000000L)
+ *b++ = '-';
+#endif
+ *b++ = '0';
+ *b = 0;
+ return b;
+ }
+ bits[0] = L[_1];
+ bits[1] = L[_0] & 0xfffff;
+ if ( (ex = (L[_0] >> 20) & 0x7ff) !=0)
+ bits[1] |= 0x100000;
+ else
+ ex = 1;
+ ex -= 0x3ff + 52;
+ mode = 2;
+ if (ndig <= 0) {
+ if (bufsize < 25)
+ return 0;
+ mode = 0;
+ }
+ i = STRTOG_Normal;
+ s = __gdtoa(&fpi, ex, bits, &i, mode, ndig, &decpt, &se);
+ return __g__fmt(buf, s, se, decpt, sign);
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+ char*
+#ifdef KR_headers
+__g_ffmt(buf, f, ndig, bufsize) char *buf; float *f; int ndig; unsigned bufsize;
+#else
+__g_ffmt(char *buf, float *f, int ndig, unsigned bufsize)
+#endif
+{
+ static FPI fpi = { 24, 1-127-24+1, 254-127-24+1, 1, 0 };
+ char *b, *s, *se;
+ ULong bits[1], *L, sign;
+ int decpt, ex, i, mode;
+
+ if (ndig < 0)
+ ndig = 0;
+ if (bufsize < ndig + 10)
+ return 0;
+
+ L = (ULong*)f;
+ sign = L[0] & 0x80000000L;
+ if ((L[0] & 0x7f800000) == 0x7f800000) {
+ /* Infinity or NaN */
+ if (L[0] & 0x7fffff) {
+ return strcp(buf, "NaN");
+ }
+ b = buf;
+ if (sign)
+ *b++ = '-';
+ return strcp(b, "Infinity");
+ }
+ if (*f == 0.) {
+ b = buf;
+#ifndef IGNORE_ZERO_SIGN
+ if (L[0] & 0x80000000L)
+ *b++ = '-';
+#endif
+ *b++ = '0';
+ *b = 0;
+ return b;
+ }
+ bits[0] = L[0] & 0x7fffff;
+ if ( (ex = (L[0] >> 23) & 0xff) !=0)
+ bits[0] |= 0x800000;
+ else
+ ex = 1;
+ ex -= 0x7f + 23;
+ mode = 2;
+ if (ndig <= 0) {
+ if (bufsize < 16)
+ return 0;
+ mode = 0;
+ }
+ i = STRTOG_Normal;
+ s = __gdtoa(&fpi, ex, bits, &i, mode, ndig, &decpt, &se);
+ return __g__fmt(buf, s, se, decpt, sign);
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+#undef _0
+#undef _1
+
+/* one or the other of IEEE_MC68k or IEEE_8087 should be #defined */
+
+#ifdef IEEE_MC68k
+#define _0 0
+#define _1 1
+#define _2 2
+#define _3 3
+#define _4 4
+#endif
+#ifdef IEEE_8087
+#define _0 4
+#define _1 3
+#define _2 2
+#define _3 1
+#define _4 0
+#endif
+
+ char*
+#ifdef KR_headers
+__g_xfmt(buf, V, ndig, bufsize) char *buf; char *V; int ndig; unsigned bufsize;
+#else
+__g_xfmt(char *buf, void *V, int ndig, unsigned bufsize)
+#endif
+{
+ static FPI fpi = { 64, 1-16383-64+1, 32766 - 16383 - 64 + 1, 1, 0 };
+ char *b, *s, *se;
+ ULong bits[2], sign;
+ UShort *L;
+ int decpt, ex, i, mode;
+
+ if (ndig < 0)
+ ndig = 0;
+ if (bufsize < ndig + 10)
+ return 0;
+
+ L = (UShort *)V;
+ sign = L[_0] & 0x8000;
+ bits[1] = (L[_1] << 16) | L[_2];
+ bits[0] = (L[_3] << 16) | L[_4];
+ if ( (ex = L[_0] & 0x7fff) !=0) {
+ if (ex == 0x7fff) {
+ /* Infinity or NaN */
+ if (bits[0] | bits[1])
+ b = strcp(buf, "NaN");
+ else {
+ b = buf;
+ if (sign)
+ *b++ = '-';
+ b = strcp(b, "Infinity");
+ }
+ return b;
+ }
+ i = STRTOG_Normal;
+ }
+ else if (bits[0] | bits[1]) {
+ i = STRTOG_Denormal;
+ ex = 1;
+ }
+ else {
+ b = buf;
+#ifndef IGNORE_ZERO_SIGN
+ if (sign)
+ *b++ = '-';
+#endif
+ *b++ = '0';
+ *b = 0;
+ return b;
+ }
+ ex -= 0x3fff + 63;
+ mode = 2;
+ if (ndig <= 0) {
+ if (bufsize < 32)
+ return 0;
+ mode = 0;
+ }
+ s = __gdtoa(&fpi, ex, bits, &i, mode, ndig, &decpt, &se);
+ return __g__fmt(buf, s, se, decpt, sign);
+ }
--- /dev/null
+#define IEEE_8087\r
+#define Arith_Kind_ASL 1\r
+#define Double_Align\r
--- /dev/null
+#define f_QNAN 0xffc00000\r
+#define d_QNAN0 0x0\r
+#define d_QNAN1 0xfff80000\r
+#define ld_QNAN0 0x0\r
+#define ld_QNAN1 0xc0000000\r
+#define ld_QNAN2 0xffff\r
+#define ld_QNAN3 0x0\r
+#define ldus_QNAN0 0x0\r
+#define ldus_QNAN1 0x0\r
+#define ldus_QNAN2 0x0\r
+#define ldus_QNAN3 0xc000\r
+#define ldus_QNAN4 0xffff\r
--- /dev/null
+/****************************************************************
+
+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);
+ 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.
+
+ 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 = 0, ilim0, ilim1 = 0, 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 d, d2, ds, eps;
+ char *s, *s0;
+
+#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);
+ 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;
+ }
+ leftright = 1;
+ switch(mode) {
+ case 0:
+ case 1:
+ ilim = ilim1 = -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 ( (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)) {
+ while(*--s == '0'){}
+ s++;
+ if (dval(d))
+ inex = STRTOG_Inexlo;
+ goto ret1;
+ }
+ 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);
+ if (dval(d) > ds || (dval(d) == ds && L & 1)) {
+ bump_up:
+ inex = STRTOG_Inexhi;
+ while(*--s == '9')
+ if (s == s0) {
+ k++;
+ *s = '0';
+ break;
+ }
+ ++*s++;
+ }
+ else
+ inex = STRTOG_Inexlo;
+ break;
+ }
+ }
+ goto ret1;
+ }
+
+ m2 = b2;
+ m5 = b5;
+ mhi = mlo = 0;
+ if (leftright) {
+ if (mode < 2) {
+ i = nbits - bbits;
+ if (be - i++ < fpi->emin)
+ /* denormal */
+ i = be - fpi->emin + 1;
+ }
+ else {
+ 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 (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);
+ b1 = mult(mhi, b);
+ Bfree(b);
+ b = b1;
+ }
+ if ( (j = b5 - m5) !=0)
+ b = pow5mult(b, j);
+ }
+ else
+ b = pow5mult(b, b5);
+ }
+ S = i2b(1);
+ if (s5 > 0)
+ S = pow5mult(S, s5);
+
+ /* 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.
+ */
+#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 (s2 > 0)
+ S = lshift(S, s2);
+ if (k_check) {
+ if (cmp(b,S) < 0) {
+ k--;
+ b = multadd(b, 10, 0); /* we botched the k estimate */
+ if (leftright)
+ mhi = multadd(mhi, 10, 0);
+ ilim = ilim1;
+ }
+ }
+ if (ilim <= 0 && mode > 2) {
+ if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 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);
+
+ /* Compute mlo -- check for special case
+ * that d is a normalized power of 2.
+ */
+
+ mlo = mhi;
+ if (spec_case) {
+ mhi = Balloc(mhi->k);
+ Bcopy(mhi, mlo);
+ mhi = lshift(mhi, 1);
+ }
+
+ 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);
+ 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 (mlo == mhi)
+ mlo = mhi1;
+ mhi = mhi1;
+ b = multadd(b, 10, 0);
+ dig = quorem(b,S) + '0';
+ }
+ if (dig++ == '9')
+ goto round_9_up;
+ inex = STRTOG_Inexhi;
+ goto accept;
+ }
+ if (j1 > 0) {
+ b = lshift(b, 1);
+ j1 = cmp(b, S);
+ if ((j1 > 0 || (j1 == 0 && dig & 1))
+ && 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 (mlo == mhi)
+ mlo = mhi = multadd(mhi, 10, 0);
+ else {
+ mlo = multadd(mlo, 10, 0);
+ mhi = multadd(mhi, 10, 0);
+ }
+ }
+ }
+ else
+ for(i = 1;; i++) {
+ *s++ = dig = quorem(b,S) + '0';
+ if (i >= ilim)
+ break;
+ b = multadd(b, 10, 0);
+ }
+
+ /* Round off last digit */
+
+ if (rdir) {
+ if (rdir == 2 || (b->wds <= 1 && !b->x[0]))
+ goto chopzeros;
+ goto roundoff;
+ }
+ b = lshift(b, 1);
+ j = cmp(b, S);
+ if (j > 0 || (j == 0 && dig & 1)) {
+ 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;
+ }
--- /dev/null
+/****************************************************************
+
+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
+
+#include "gd_arith.h"
+
+#ifndef Long
+#define Long long
+#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,
+
+ /* 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
+ };
+
+#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 int __strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*));
+extern float __strtof ANSI((CONST char *, char **));
+extern double __strtod ANSI((CONST char *, char **));
+extern long double strtold ANSI((CONST char *, char **));
+
+extern char* __g__fmt(char *, char *, char *e, int, ULong);
+extern char* __g_dfmt ANSI((char*, double*, int, unsigned));
+extern char* __g_ffmt ANSI((char*, float*, int, unsigned));
+extern char* __g_xfmt ANSI((char*, void*, int, unsigned));
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* GDTOA_H_INCLUDED */
--- /dev/null
+/****************************************************************
+
+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.
+ * #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.
+ * #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.
+ * #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 INFNAN_CHECK on IEEE systems to cause strtod to check 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 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.
+ * #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 strtog 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 YES_ALIAS to permit aliasing certain double values with
+ * arrays of ULongs. This leads to slightly better code with
+ * some compilers and was always used prior to 19990916, but it
+ * is not strictly legal and can cause trouble with aggressively
+ * optimizing compilers (e.g., gcc 2.95.1 under -O2).
+ * #define USE_LOCALE to use the current locale's decimal_point value.
+ */
+
+#ifndef GDTOAIMP_H_INCLUDED
+#define GDTOAIMP_H_INCLUDED
+#include "gdtoa.h"
+#include "gd_qnan.h"
+
+#define INFNAN_CHECK 1
+#define MULTIPLE_THREADS 1
+
+#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 malloc
+#endif
+
+#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 YES_ALIAS
+#define dval(x) x
+#ifdef IEEE_8087
+#define word0(x) ((ULong *)&x)[1]
+#define word1(x) ((ULong *)&x)[0]
+#else
+#define word0(x) ((ULong *)&x)[0]
+#define word1(x) ((ULong *)&x)[1]
+#endif
+#else /* !YES_ALIAS */
+#ifdef IEEE_8087
+#define word0(x) ((U*)&x)->L[1]
+#define word1(x) ((U*)&x)->L[0]
+#else
+#define word0(x) ((U*)&x)->L[0]
+#define word1(x) ((U*)&x)->L[1]
+#endif
+#define dval(x) ((U*)&x)->d
+#endif /* YES_ALIAS */
+
+/* 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 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
+#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 MULTIPLE_THREADS
+#define ACQUIRE_DTOA_LOCK(n) /*nothing*/
+#define FREE_DTOA_LOCK(n) /*nothing*/
+#endif
+
+#define Kmax 15
+
+#define Bigint __Bigint
+ 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 */
+
+
+#ifdef __GNUC__
+static inline int
+__lo0bits_D2A (ULong *y)
+{
+ int ret = __builtin_ctz(*y);
+ *y = *y >> ret;
+ return ret;
+}
+
+static inline int
+__hi0bits_D2A (ULong y)
+{
+ return __builtin_clz(y);
+}
+#endif
+
+#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_D2A __hi0bits_D2A
+#define hi0bits(x) __hi0bits_D2A((ULong)(x))
+#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_D2A __strcp_D2A
+#define strcp __strcp_D2A
+#define strtoIg __strtoIg_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
+
+ 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 int decrement ANSI((Bigint*));
+ extern Bigint *diff ANSI((Bigint*, Bigint*));
+ 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));
+ extern Bigint *set_ones ANSI((Bigint*, int));
+ extern char *strcp ANSI((char*, const char*));
+ extern Bigint *sum ANSI((Bigint*, Bigint*));
+ extern int trailz ANSI((Bigint*));
+ extern double ulp ANSI((double));
+
+#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
+#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 */
--- /dev/null
+/****************************************************************
+
+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"
+
+#ifdef USE_LOCALE
+#include "locale.h"
+#endif
+
+ int
+#ifdef KR_headers
+gethex(sp, fpi, exp, bp, sign)
+ CONST char **sp; FPI *fpi; Long *exp; Bigint **bp; int sign;
+#else
+gethex( CONST char **sp, FPI *fpi, Long *exp, Bigint **bp, int sign)
+#endif
+{
+ 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_D2A();
+ 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(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(b, n);
+ e -= n;
+ x = b->x;
+ }
+ if (e > fpi->emax) {
+ ovfl:
+ Bfree(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(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(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;
+ }
--- /dev/null
+/****************************************************************
+
+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;
+ }
--- /dev/null
+/****************************************************************
+
+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 (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+#include "gdtoaimp.h"
+
+ unsigned char hexdig[256];
+
+ static void
+#ifdef KR_headers
+htinit(h, s, inc) unsigned char *h; unsigned char *s; int inc;
+#else
+htinit(unsigned char *h, unsigned char *s, int inc)
+#endif
+{
+ int i, j;
+ for(i = 0; (j = s[i]) !=0; i++)
+ h[j] = i + inc;
+ }
+
+ void
+hexdig_init_D2A(Void)
+{
+#define USC (unsigned char *)
+ htinit(hexdig, USC "0123456789", 0x10);
+ htinit(hexdig, USC "abcdef", 0x10 + 10);
+ htinit(hexdig, USC "ABCDEF", 0x10 + 10);
+ }
--- /dev/null
+/****************************************************************
+
+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 (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+#include "gdtoaimp.h"
+
+ static void
+#ifdef KR_headers
+L_shift(x, x1, i) ULong *x; ULong *x1; int i;
+#else
+L_shift(ULong *x, ULong *x1, int i)
+#endif
+{
+ int j;
+
+ i = 8 - i;
+ i <<= 2;
+ j = ULbits - i;
+ do {
+ *x |= x[1] << j;
+ x[1] >>= i;
+ } while(++x < x1);
+ }
+
+ int
+#ifdef KR_headers
+hexnan(sp, fpi, x0)
+ CONST char **sp; FPI *fpi; ULong *x0;
+#else
+hexnan( CONST char **sp, FPI *fpi, ULong *x0)
+#endif
+{
+ ULong c, h, *x, *x1, *xe;
+ CONST char *s;
+ int havedig, hd0, i, nbits;
+
+ if (!hexdig['0'])
+ hexdig_init_D2A();
+ 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;
+ }
--- /dev/null
+/****************************************************************
+
+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 "."). */
+
+
+#ifdef __MINGW32__
+/* we have to include windows.h before gdtoa headers, otherwise
+ defines cause conflicts. */
+#define WIN32_LEAN_AND_MEAN
+#include <windows.h>
+
+#define NLOCKS 1
+
+#ifdef USE_WIN32_SL
+/* Use spin locks. */
+static long dtoa_sl[NLOCKS];
+
+#define ACQUIRE_DTOA_LOCK(n) \
+ while (InterlockedCompareExchange (&dtoa_sl[n], 1, 0) != 0) \
+ Sleep (0);
+#define FREE_DTOA_LOCK(n) InterlockedExchange (&dtoa_sl[n], 0);
+
+#else
+#include <stdlib.h>
+static CRITICAL_SECTION dtoa_CritSec[NLOCKS];
+static long dtoa_CS_init = 0;
+/*
+ 1 = initializing
+ 2 = initialized
+ 3 = deleted
+*/
+static void dtoa_lock_cleanup()
+{
+ long last_CS_init = InterlockedExchange (&dtoa_CS_init,3);
+
+ if (2 == last_CS_init)
+ {
+ int i;
+ for (i = 0; i < NLOCKS; i++)
+ DeleteCriticalSection (&dtoa_CritSec[i]);
+ }
+}
+
+static void dtoa_lock(int n)
+{
+ if (2 == dtoa_CS_init)
+ {
+ EnterCriticalSection (&dtoa_CritSec[n]);
+ return;
+ }
+
+ else if (0 == dtoa_CS_init)
+ {
+ long last_CS_init = InterlockedExchange (&dtoa_CS_init, 1);
+ if (0 == last_CS_init)
+ {
+ int i;
+ for (i = 0; i < NLOCKS; i++)
+ InitializeCriticalSection (&dtoa_CritSec[i]);
+ atexit (dtoa_lock_cleanup);
+ dtoa_CS_init = 2;
+ }
+ else if (2 == last_CS_init)
+ dtoa_CS_init = 2;
+ }
+ /* Another thread is initializing. Wait. */
+ while (1 == dtoa_CS_init)
+ Sleep (1);
+
+ /* It had better be initialized now. */
+ if (2 == dtoa_CS_init)
+ EnterCriticalSection(&dtoa_CritSec[n]);
+}
+
+static void dtoa_unlock(int n)
+{
+ if (2 == dtoa_CS_init)
+ LeaveCriticalSection (&dtoa_CritSec[n]);
+}
+
+#define ACQUIRE_DTOA_LOCK(n) dtoa_lock(n)
+#define FREE_DTOA_LOCK(n) dtoa_unlock(n)
+#endif
+
+#endif /* __MINGW32__ */
+
+
+#include "gdtoaimp.h"
+
+
+#ifndef MULTIPLE_THREADS
+ char *dtoa_result;
+#endif
+
+
+ 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
+
+ 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);
+ if ( (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));
+#else
+ len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
+ /sizeof(double);
+ if (pmem_next - private_mem + len <= PRIVATE_mem) {
+ rv = (Bigint*)pmem_next;
+ pmem_next += len;
+ }
+ else
+ rv = (Bigint*)MALLOC(len*sizeof(double));
+#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) {
+ ACQUIRE_DTOA_LOCK(0);
+ v->next = freelist[v->k];
+ freelist[v->k] = v;
+ FREE_DTOA_LOCK(0);
+ }
+ }
+
+// Shift y so lowest bit is 1 and return the number of bits y was
+// shifted.
+// With __GNUC__, we use an inline wrapper for __builtin_clz()
+#ifndef __GNUC__
+ int
+lo0bits
+#ifdef KR_headers
+ (y) ULong *y;
+#else
+ (ULong *y)
+#endif
+{
+ register int k;
+ register 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;
+ }
+
+#endif /* __GNUC__ */
+
+ 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);
+ Bcopy(b1, b);
+ Bfree(b);
+ b = b1;
+ }
+ b->x[wds++] = carry;
+ b->wds = wds;
+ }
+ return b;
+ }
+
+// With __GNUC__, we use an inline wrapper for __builtin_clz()
+#ifndef __GNUC__
+ int
+hi0bits_D2A
+#ifdef KR_headers
+ (x) register ULong x;
+#else
+ (register ULong x)
+#endif
+{
+ register 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;
+ }
+
+#endif
+
+ Bigint *
+i2b
+#ifdef KR_headers
+ (i) int i;
+#else
+ (int i)
+#endif
+{
+ Bigint *b;
+
+ b = Balloc(1);
+ 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);
+ 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;
+ }
+
+#if 1
+/* Returns (*b) * (5**k). b is modified. */
+/* Re-written by Per Bothner to not need a static list. */
+
+Bigint *
+pow5mult(Bigint *b, int k)
+{
+ static int p05[6] = { 5, 25, 125, 625, 3125, 15625 };
+
+ for (; k > 6; k -= 6)
+ multadd(b, 15625, 0); /* b *= 5**6 */
+ if (k != 0)
+ multadd(b, p05[k-1], 0);
+ return b;
+}
+
+
+#else /* Original code */
+
+ 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 (!(k >>= 2))
+ return b;
+ if ((p5 = p5s) == 0) {
+ /* first time */
+#ifdef MULTIPLE_THREADS
+ ACQUIRE_DTOA_LOCK(1);
+ if (!(p5 = p5s)) {
+ p5 = p5s = i2b(625);
+ p5->next = 0;
+ }
+ FREE_DTOA_LOCK(1);
+#else
+ p5 = p5s = i2b(625);
+ p5->next = 0;
+#endif
+ }
+ for(;;) {
+ if (k & 1) {
+ b1 = mult(b, p5);
+ 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);
+ p51->next = 0;
+ }
+ FREE_DTOA_LOCK(1);
+#else
+ p51 = p5->next = mult(p5,p5);
+ p51->next = 0;
+#endif
+ }
+ p5 = p51;
+ }
+ return b;
+ }
+#endif /* Original code */
+
+
+ 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);
+ 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);
+ 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);
+ 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;
+ double 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
+ (d, e, bits) double d; int *e, *bits;
+#else
+ (double d, int *e, int *bits)
+#endif
+{
+ Bigint *b;
+#ifndef Sudden_Underflow
+ int i;
+#endif
+ int de, k;
+ ULong *x, y, z;
+#ifdef VAX
+ ULong d0, d1;
+ d0 = word0(d) >> 16 | word0(d) << 16;
+ d1 = word1(d) >> 16 | word1(d) << 16;
+#else
+#define d0 word0(d)
+#define d1 word1(d)
+#endif
+
+#ifdef Pack_32
+ b = Balloc(1);
+#else
+ b = Balloc(2);
+#endif
+ 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 {
+#ifdef DEBUG
+ if (!z)
+ Bug("Zero passed to d2b");
+#endif
+ 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
+ };
+
+ 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;
+ }
+
+#ifdef NO_STRING_H
+
+ 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
+{
+ register char *a = (char*)a1, *ae = a + len;
+ register char *b = (char*)b1, *a0 = a;
+ while(a < ae)
+ *a++ = *b++;
+ return a0;
+ }
+
+#endif /* NO_STRING_H */
--- /dev/null
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 2005 by David M. Gay
+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
+the author or any of his current or former employers not be used in
+advertising or publicity pertaining to distribution of the software
+without specific, written prior permission.
+
+THE AUTHOR DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
+INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN
+NO EVENT SHALL THE AUTHOR OR ANY OF HIS CURRENT OR FORMER EMPLOYERS 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 "."). */
+
+/* Program to compute quiet NaNs of various precisions (float, */
+/* double, and perhaps long double) on the current system, */
+/* provided the system uses binary IEEE (P754) arithmetic. */
+/* Note that one system's quiet NaN may be a signaling NaN on */
+/* another system. The IEEE arithmetic standards (P754, P854) */
+/* do not specify how to distinguish signaling NaNs from quiet */
+/* ones, and this detail varies across systems. The computed */
+/* NaN values are encoded in #defines for values for an */
+/* unsigned 32-bit integer type, called Ulong below, and */
+/* (for long double) perhaps as unsigned short values. Once */
+/* upon a time, there were PC compilers for Intel CPUs that */
+/* had sizeof(long double) = 10. Are such compilers still */
+/* distributed? */
+
+#include <stdio.h>
+#include "gd_arith.h"
+
+#ifndef Long
+#define Long long
+#endif
+
+typedef unsigned Long Ulong;
+
+#undef HAVE_IEEE
+#ifdef IEEE_8087
+#define _0 1
+#define _1 0
+#define HAVE_IEEE
+#endif
+#ifdef IEEE_MC68k
+#define _0 0
+#define _1 1
+#define HAVE_IEEE
+#endif
+
+#define UL (unsigned long)
+
+ int
+main(void)
+{
+#ifdef HAVE_IEEE
+ typedef union {
+ float f;
+ double d;
+ Ulong L[4];
+#ifndef NO_LONG_LONG
+ unsigned short u[5];
+ long double D;
+#endif
+ } U;
+ U a, b, c;
+ int i;
+
+ a.L[0] = b.L[0] = 0x7f800000;
+ c.f = a.f - b.f;
+ printf("#define f_QNAN 0x%lx\n", UL c.L[0]);
+ a.L[_0] = b.L[_0] = 0x7ff00000;
+ a.L[_1] = b.L[_1] = 0;
+ c.d = a.d - b.d; /* quiet NaN */
+ printf("#define d_QNAN0 0x%lx\n", UL c.L[0]);
+ printf("#define d_QNAN1 0x%lx\n", UL c.L[1]);
+#ifdef NO_LONG_LONG
+ for(i = 0; i < 4; i++)
+ printf("#define ld_QNAN%d 0xffffffff\n", i);
+ for(i = 0; i < 5; i++)
+ printf("#define ldus_QNAN%d 0xffff\n", i);
+#else
+ b.D = c.D = a.d;
+ if (printf("") < 0)
+ c.D = 37; /* never executed; just defeat optimization */
+ a.L[2] = a.L[3] = 0;
+ a.D = b.D - c.D;
+ for(i = 0; i < 4; i++)
+ printf("#define ld_QNAN%d 0x%lx\n", i, UL a.L[i]);
+ for(i = 0; i < 5; i++)
+ printf("#define ldus_QNAN%d 0x%x\n", i, a.u[i]);
+#endif
+#endif /* HAVE_IEEE */
+ return 0;
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+ Bigint *
+s2b
+#ifdef KR_headers
+ (s, nd0, nd, y9) CONST char *s; int nd0, nd; ULong y9;
+#else
+ (CONST char *s, int nd0, int nd, ULong y9)
+#endif
+{
+ Bigint *b;
+ int i, k;
+ Long x, y;
+
+ x = (nd + 8) / 9;
+ for(k = 0, y = 1; x > y; y <<= 1, k++) ;
+#ifdef Pack_32
+ b = Balloc(k);
+ b->x[0] = y9;
+ b->wds = 1;
+#else
+ b = Balloc(k+1);
+ b->x[0] = y9 & 0xffff;
+ b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
+#endif
+
+ i = 9;
+ if (9 < nd0) {
+ s += 9;
+ do b = multadd(b, 10, *s++ - '0');
+ while(++i < nd0);
+ s++;
+ }
+ else
+ s += 10;
+ for(; i < nd; i++)
+ b = multadd(b, 10, *s++ - '0');
+ return b;
+ }
+
+ double
+ratio
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
+{
+ double da, db;
+ int k, ka, kb;
+
+ dval(da) = b2d(a, &ka);
+ dval(db) = b2d(b, &kb);
+ k = ka - kb + ULbits*(a->wds - b->wds);
+#ifdef IBM
+ if (k > 0) {
+ word0(da) += (k >> 2)*Exp_msk1;
+ if (k &= 3)
+ dval(da) *= 1 << k;
+ }
+ else {
+ k = -k;
+ word0(db) += (k >> 2)*Exp_msk1;
+ if (k &= 3)
+ dval(db) *= 1 << k;
+ }
+#else
+ if (k > 0)
+ word0(da) += k*Exp_msk1;
+ else {
+ k = -k;
+ word0(db) += k*Exp_msk1;
+ }
+#endif
+ return dval(da) / dval(db);
+ }
+
+#ifdef INFNAN_CHECK
+
+ int
+match
+#ifdef KR_headers
+ (sp, t) char **sp, *t;
+#else
+ (CONST char **sp, char *t)
+#endif
+{
+ 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 */
+
+ void
+#ifdef KR_headers
+copybits(c, n, b) ULong *c; int n; Bigint *b;
+#else
+copybits(ULong *c, int n, Bigint *b)
+#endif
+{
+ 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
+#ifdef KR_headers
+any_on(b, k) Bigint *b; int k;
+#else
+any_on(Bigint *b, int k)
+#endif
+{
+ 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;
+ }
--- /dev/null
+/****************************************************************
+
+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 "."). */
+
+#include "gdtoaimp.h"
+
+#ifdef USE_LOCALE
+#include "locale.h"
+#endif
+
+ static CONST int
+fivesbits[] = { 0, 3, 5, 7, 10, 12, 14, 17, 19, 21,
+ 24, 26, 28, 31, 33, 35, 38, 40, 42, 45,
+ 47, 49, 52
+#ifdef VAX
+ , 54, 56
+#endif
+ };
+
+ Bigint *
+#ifdef KR_headers
+increment(b) Bigint *b;
+#else
+increment(Bigint *b)
+#endif
+{
+ 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(b->k+1);
+ Bcopy(b1,b);
+ Bfree(b);
+ b = b1;
+ }
+ b->x[b->wds++] = 1;
+ }
+ return b;
+ }
+
+ int
+#ifdef KR_headers
+decrement(b) Bigint *b;
+#else
+decrement(Bigint *b)
+#endif
+{
+ ULong *x, *xe;
+#ifdef Pack_16
+ ULong borrow = 1, y;
+#endif
+
+ x = b->x;
+ xe = x + b->wds;
+#ifdef Pack_32
+ do {
+ if (*x) {
+ --*x;
+ break;
+ }
+ *x++ = 0xffffffffL;
+ }
+ while(x < xe);
+#else
+ do {
+ y = *x - borrow;
+ borrow = (y & 0x10000) >> 16;
+ *x++ = y & 0xffff;
+ } while(borrow && x < xe);
+#endif
+ return STRTOG_Inexlo;
+ }
+
+ static int
+#ifdef KR_headers
+all_on(b, n) Bigint *b; int n;
+#else
+all_on(Bigint *b, int n)
+#endif
+{
+ ULong *x, *xe;
+
+ x = b->x;
+ xe = x + (n >> kshift);
+ while(x < xe)
+ if ((*x++ & ALL_ON) != ALL_ON)
+ return 0;
+ if (n &= kmask)
+ return ((*x | (ALL_ON << n)) & ALL_ON) == ALL_ON;
+ return 1;
+ }
+
+ Bigint *
+#ifdef KR_headers
+set_ones(b, n) Bigint *b; int n;
+#else
+set_ones(Bigint *b, int n)
+#endif
+{
+ int k;
+ ULong *x, *xe;
+
+ k = (n + ((1 << kshift) - 1)) >> kshift;
+ if (b->k < k) {
+ Bfree(b);
+ b = Balloc(k);
+ }
+ k = n >> kshift;
+ if (n &= kmask)
+ k++;
+ b->wds = k;
+ x = b->x;
+ xe = x + k;
+ while(x < xe)
+ *x++ = ALL_ON;
+ if (n)
+ x[-1] >>= ULbits - n;
+ return b;
+ }
+
+ static int
+rvOK
+#ifdef KR_headers
+ (d, fpi, exp, bits, exact, rd, irv)
+ double d; FPI *fpi; Long *exp; ULong *bits; int exact, rd, *irv;
+#else
+ (double d, FPI *fpi, Long *exp, ULong *bits, int exact, int rd, int *irv)
+#endif
+{
+ Bigint *b;
+ ULong carry, inex, lostbits;
+ int bdif, e, j, k, k1, nb, rv;
+
+ carry = rv = 0;
+ b = d2b(d, &e, &bdif);
+ bdif -= nb = fpi->nbits;
+ e += bdif;
+ if (bdif <= 0) {
+ if (exact)
+ goto trunc;
+ goto ret;
+ }
+ if (P == nb) {
+ if (
+#ifndef IMPRECISE_INEXACT
+ exact &&
+#endif
+ fpi->rounding ==
+#ifdef RND_PRODQUOT
+ FPI_Round_near
+#else
+ Flt_Rounds
+#endif
+ ) goto trunc;
+ goto ret;
+ }
+ switch(rd) {
+ case 1:
+ goto trunc;
+ case 2:
+ break;
+ default: /* round near */
+ k = bdif - 1;
+ if (k < 0)
+ goto trunc;
+ if (!k) {
+ if (!exact)
+ goto ret;
+ if (b->x[0] & 2)
+ break;
+ goto trunc;
+ }
+ if (b->x[k>>kshift] & ((ULong)1 << (k & kmask)))
+ break;
+ goto trunc;
+ }
+ /* "break" cases: round up 1 bit, then truncate; bdif > 0 */
+ carry = 1;
+ trunc:
+ inex = lostbits = 0;
+ if (bdif > 0) {
+ if ( (lostbits = any_on(b, bdif)) !=0)
+ inex = STRTOG_Inexlo;
+ rshift(b, bdif);
+ if (carry) {
+ inex = STRTOG_Inexhi;
+ b = increment(b);
+ if ( (j = nb & kmask) !=0)
+ j = ULbits - j;
+ if (hi0bits(b->x[b->wds - 1]) != j) {
+ if (!lostbits)
+ lostbits = b->x[0] & 1;
+ rshift(b, 1);
+ e++;
+ }
+ }
+ }
+ else if (bdif < 0)
+ b = lshift(b, -bdif);
+ if (e < fpi->emin) {
+ k = fpi->emin - e;
+ e = fpi->emin;
+ if (k > nb || fpi->sudden_underflow) {
+ b->wds = inex = 0;
+ *irv = STRTOG_Underflow | STRTOG_Inexlo;
+ }
+ else {
+ k1 = k - 1;
+ if (k1 > 0 && !lostbits)
+ lostbits = any_on(b, k1);
+ if (!lostbits && !exact)
+ goto ret;
+ lostbits |=
+ carry = b->x[k1>>kshift] & (1 << (k1 & kmask));
+ rshift(b, k);
+ *irv = STRTOG_Denormal;
+ if (carry) {
+ b = increment(b);
+ inex = STRTOG_Inexhi | STRTOG_Underflow;
+ }
+ else if (lostbits)
+ inex = STRTOG_Inexlo | STRTOG_Underflow;
+ }
+ }
+ else if (e > fpi->emax) {
+ e = fpi->emax + 1;
+ *irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi;
+#ifndef NO_ERRNO
+ errno = ERANGE;
+#endif
+ b->wds = inex = 0;
+ }
+ *exp = e;
+ copybits(bits, nb, b);
+ *irv |= inex;
+ rv = 1;
+ ret:
+ Bfree(b);
+ return rv;
+ }
+
+ static int
+#ifdef KR_headers
+mantbits(d) double d;
+#else
+mantbits(double d)
+#endif
+{
+ ULong L;
+#ifdef VAX
+ L = word1(d) << 16 | word1(d) >> 16;
+ if (L)
+#else
+ if ( (L = word1(d)) !=0)
+#endif
+ return P - lo0bits(&L);
+#ifdef VAX
+ L = word0(d) << 16 | word0(d) >> 16 | Exp_msk11;
+#else
+ L = word0(d) | Exp_msk1;
+#endif
+ return P - 32 - lo0bits(&L);
+ }
+
+ int
+__strtodg
+#ifdef KR_headers
+ (s00, se, fpi, exp, bits)
+ CONST char *s00; char **se; FPI *fpi; Long *exp; ULong *bits;
+#else
+ (CONST char *s00, char **se, FPI *fpi, Long *exp, ULong *bits)
+#endif
+{
+ int abe, abits, asub;
+ int bb0, bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, denorm;
+ int dsign, e, e1, e2, emin, esign, finished, i, inex, irv;
+ int j, k, nbits, nd, nd0, nf, nz, nz0, rd, rvbits, rve, rve1, sign;
+ int sudden_underflow;
+ CONST char *s, *s0, *s1;
+ double adj, adj0, rv, tol;
+ Long L;
+ ULong y, z;
+ Bigint *ab, *bb, *bb1, *bd, *bd0, *bs, *delta, *rvb, *rvb0;
+
+ irv = STRTOG_Zero;
+ denorm = sign = nz0 = nz = 0;
+ dval(rv) = 0.;
+ rvb = 0;
+ nbits = fpi->nbits;
+ for(s = s00;;s++) switch(*s) {
+ case '-':
+ sign = 1;
+ /* no break */
+ case '+':
+ if (*++s)
+ goto break2;
+ /* no break */
+ case 0:
+ sign = 0;
+ irv = STRTOG_NoNumber;
+ s = s00;
+ goto ret;
+ case '\t':
+ case '\n':
+ case '\v':
+ case '\f':
+ case '\r':
+ case ' ':
+ continue;
+ default:
+ goto break2;
+ }
+ break2:
+ if (*s == '0') {
+#ifndef NO_HEX_FP
+ switch(s[1]) {
+ case 'x':
+ case 'X':
+ irv = gethex(&s, fpi, exp, &rvb, sign);
+ if (irv == STRTOG_NoNumber) {
+ s = s00;
+ sign = 0;
+ }
+ goto ret;
+ }
+#endif
+ nz0 = 1;
+ while(*++s == '0') ;
+ if (!*s)
+ goto ret;
+ }
+ sudden_underflow = fpi->sudden_underflow;
+ s0 = s;
+ y = z = 0;
+ for(decpt = 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) {
+ irv = STRTOG_NoNumber;
+ s = s00;
+ goto ret;
+ }
+ 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 */
+ if (!decpt)
+ switch(c) {
+ case 'i':
+ case 'I':
+ if (match(&s,"nf")) {
+ --s;
+ if (!match(&s,"inity"))
+ ++s;
+ irv = STRTOG_Infinite;
+ goto infnanexp;
+ }
+ break;
+ case 'n':
+ case 'N':
+ if (match(&s, "an")) {
+ irv = STRTOG_NaN;
+ *exp = fpi->emax + 1;
+#ifndef No_Hex_NaN
+ if (*s == '(') /*)*/
+ irv = hexnan(&s, fpi, bits);
+#endif
+ goto infnanexp;
+ }
+ }
+#endif /* INFNAN_CHECK */
+ irv = STRTOG_NoNumber;
+ s = s00;
+ }
+ goto ret;
+ }
+
+ irv = STRTOG_Normal;
+ e1 = e -= nf;
+ rd = 0;
+ switch(fpi->rounding & 3) {
+ case FPI_Round_up:
+ rd = 2 - sign;
+ break;
+ case FPI_Round_zero:
+ rd = 1;
+ break;
+ case FPI_Round_down:
+ rd = 1 + sign;
+ }
+
+ /* 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)
+ dval(rv) = tens[k - 9] * dval(rv) + z;
+ bd0 = 0;
+ if (nbits <= P && nd <= DBL_DIG) {
+ if (!e) {
+ if (rvOK(dval(rv), fpi, exp, bits, 1, rd, &irv))
+ goto ret;
+ }
+ else if (e > 0) {
+ if (e <= Ten_pmax) {
+#ifdef VAX
+ goto vax_ovfl_check;
+#else
+ i = fivesbits[e] + mantbits(dval(rv)) <= P;
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ if (rvOK(dval(rv), fpi, exp, bits, i, rd, &irv))
+ goto ret;
+ e1 -= e;
+ goto rv_notOK;
+#endif
+ }
+ i = DBL_DIG - nd;
+ if (e <= Ten_pmax + i) {
+ /* A fancier test would sometimes let us do
+ * this for larger i values.
+ */
+ e2 = e - i;
+ e1 -= i;
+ dval(rv) *= tens[i];
+#ifdef VAX
+ /* VAX exponent range is so narrow we must
+ * worry about overflow here...
+ */
+ vax_ovfl_check:
+ dval(adj) = dval(rv);
+ word0(adj) -= P*Exp_msk1;
+ /* adj = */ rounded_product(dval(adj), tens[e2]);
+ if ((word0(adj) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
+ goto rv_notOK;
+ word0(adj) += P*Exp_msk1;
+ dval(rv) = dval(adj);
+#else
+ /* rv = */ rounded_product(dval(rv), tens[e2]);
+#endif
+ if (rvOK(dval(rv), fpi, exp, bits, 0, rd, &irv))
+ goto ret;
+ e1 -= e2;
+ }
+ }
+#ifndef Inaccurate_Divide
+ else if (e >= -Ten_pmax) {
+ /* rv = */ rounded_quotient(dval(rv), tens[-e]);
+ if (rvOK(dval(rv), fpi, exp, bits, 0, rd, &irv))
+ goto ret;
+ e1 -= e;
+ }
+#endif
+ }
+ rv_notOK:
+ e1 += nd - k;
+
+ /* Get starting approximation = rv * 10**e1 */
+
+ e2 = 0;
+ if (e1 > 0) {
+ if ( (i = e1 & 15) !=0)
+ dval(rv) *= tens[i];
+ if (e1 &= ~15) {
+ e1 >>= 4;
+ while(e1 >= (1 << (n_bigtens-1))) {
+ e2 += ((word0(rv) & Exp_mask)
+ >> Exp_shift1) - Bias;
+ word0(rv) &= ~Exp_mask;
+ word0(rv) |= Bias << Exp_shift1;
+ dval(rv) *= bigtens[n_bigtens-1];
+ e1 -= 1 << (n_bigtens-1);
+ }
+ e2 += ((word0(rv) & Exp_mask) >> Exp_shift1) - Bias;
+ word0(rv) &= ~Exp_mask;
+ word0(rv) |= Bias << Exp_shift1;
+ for(j = 0; e1 > 0; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(rv) *= bigtens[j];
+ }
+ }
+ else if (e1 < 0) {
+ e1 = -e1;
+ if ( (i = e1 & 15) !=0)
+ dval(rv) /= tens[i];
+ if (e1 &= ~15) {
+ e1 >>= 4;
+ while(e1 >= (1 << (n_bigtens-1))) {
+ e2 += ((word0(rv) & Exp_mask)
+ >> Exp_shift1) - Bias;
+ word0(rv) &= ~Exp_mask;
+ word0(rv) |= Bias << Exp_shift1;
+ dval(rv) *= tinytens[n_bigtens-1];
+ e1 -= 1 << (n_bigtens-1);
+ }
+ e2 += ((word0(rv) & Exp_mask) >> Exp_shift1) - Bias;
+ word0(rv) &= ~Exp_mask;
+ word0(rv) |= Bias << Exp_shift1;
+ for(j = 0; e1 > 0; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(rv) *= tinytens[j];
+ }
+ }
+#ifdef IBM
+ /* e2 is a correction to the (base 2) exponent of the return
+ * value, reflecting adjustments above to avoid overflow in the
+ * native arithmetic. For native IBM (base 16) arithmetic, we
+ * must multiply e2 by 4 to change from base 16 to 2.
+ */
+ e2 <<= 2;
+#endif
+ rvb = d2b(dval(rv), &rve, &rvbits); /* rv = rvb * 2^rve */
+ rve += e2;
+ if ((j = rvbits - nbits) > 0) {
+ rshift(rvb, j);
+ rvbits = nbits;
+ rve += j;
+ }
+ bb0 = 0; /* trailing zero bits in rvb */
+ e2 = rve + rvbits - nbits;
+ if (e2 > fpi->emax + 1)
+ goto huge;
+ rve1 = rve + rvbits - nbits;
+ if (e2 < (emin = fpi->emin)) {
+ denorm = 1;
+ j = rve - emin;
+ if (j > 0) {
+ rvb = lshift(rvb, j);
+ rvbits += j;
+ }
+ else if (j < 0) {
+ rvbits += j;
+ if (rvbits <= 0) {
+ if (rvbits < -1) {
+ ufl:
+ rvb->wds = 0;
+ rvb->x[0] = 0;
+ *exp = emin;
+ irv = STRTOG_Underflow | STRTOG_Inexlo;
+ goto ret;
+ }
+ rvb->x[0] = rvb->wds = rvbits = 1;
+ }
+ else
+ rshift(rvb, -j);
+ }
+ rve = rve1 = emin;
+ if (sudden_underflow && e2 + 1 < emin)
+ goto ufl;
+ }
+
+ /* Now the hard part -- adjusting rv to the correct value.*/
+
+ /* Put digits into bd: true value = bd * 10^e */
+
+ bd0 = s2b(s0, nd0, nd, y);
+
+ for(;;) {
+ bd = Balloc(bd0->k);
+ Bcopy(bd, bd0);
+ bb = Balloc(rvb->k);
+ Bcopy(bb, rvb);
+ bbbits = rvbits - bb0;
+ bbe = rve + bb0;
+ bs = i2b(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;
+ j = nbits + 1 - bbbits;
+ i = bbe + bbbits - nbits;
+ if (i < emin) /* denormal */
+ j += i - emin;
+ 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(bs, bb5);
+ bb1 = mult(bs, bb);
+ Bfree(bb);
+ bb = bb1;
+ }
+ bb2 -= bb0;
+ if (bb2 > 0)
+ bb = lshift(bb, bb2);
+ else if (bb2 < 0)
+ rshift(bb, -bb2);
+ if (bd5 > 0)
+ bd = pow5mult(bd, bd5);
+ if (bd2 > 0)
+ bd = lshift(bd, bd2);
+ if (bs2 > 0)
+ bs = lshift(bs, bs2);
+ asub = 1;
+ inex = STRTOG_Inexhi;
+ delta = diff(bb, bd);
+ if (delta->wds <= 1 && !delta->x[0])
+ break;
+ dsign = delta->sign;
+ delta->sign = finished = 0;
+ L = 0;
+ i = cmp(delta, bs);
+ if (rd && i <= 0) {
+ irv = STRTOG_Normal;
+ if ( (finished = dsign ^ (rd&1)) !=0) {
+ if (dsign != 0) {
+ irv |= STRTOG_Inexhi;
+ goto adj1;
+ }
+ irv |= STRTOG_Inexlo;
+ if (rve1 == emin)
+ goto adj1;
+ for(i = 0, j = nbits; j >= ULbits;
+ i++, j -= ULbits) {
+ if (rvb->x[i] & ALL_ON)
+ goto adj1;
+ }
+ if (j > 1 && lo0bits(rvb->x + i) < j - 1)
+ goto adj1;
+ rve = rve1 - 1;
+ rvb = set_ones(rvb, rvbits = nbits);
+ break;
+ }
+ irv |= dsign ? STRTOG_Inexlo : STRTOG_Inexhi;
+ break;
+ }
+ if (i < 0) {
+ /* Error is less than half an ulp -- check for
+ * special case of mantissa a power of two.
+ */
+ irv = dsign
+ ? STRTOG_Normal | STRTOG_Inexlo
+ : STRTOG_Normal | STRTOG_Inexhi;
+ if (dsign || bbbits > 1 || denorm || rve1 == emin)
+ break;
+ delta = lshift(delta,1);
+ if (cmp(delta, bs) > 0) {
+ irv = STRTOG_Normal | STRTOG_Inexlo;
+ goto drop_down;
+ }
+ break;
+ }
+ if (i == 0) {
+ /* exactly half-way between */
+ if (dsign) {
+ if (denorm && all_on(rvb, rvbits)) {
+ /*boundary case -- increment exponent*/
+ rvb->wds = 1;
+ rvb->x[0] = 1;
+ rve = emin + nbits - (rvbits = 1);
+ irv = STRTOG_Normal | STRTOG_Inexhi;
+ denorm = 0;
+ break;
+ }
+ irv = STRTOG_Normal | STRTOG_Inexlo;
+ }
+ else if (bbbits == 1) {
+ irv = STRTOG_Normal;
+ drop_down:
+ /* boundary case -- decrement exponent */
+ if (rve1 == emin) {
+ irv = STRTOG_Normal | STRTOG_Inexhi;
+ if (rvb->wds == 1 && rvb->x[0] == 1)
+ sudden_underflow = 1;
+ break;
+ }
+ rve -= nbits;
+ rvb = set_ones(rvb, rvbits = nbits);
+ break;
+ }
+ else
+ irv = STRTOG_Normal | STRTOG_Inexhi;
+ if ((bbbits < nbits && !denorm) || !(rvb->x[0] & 1))
+ break;
+ if (dsign) {
+ rvb = increment(rvb);
+ if ( (j = rvbits & kmask) !=0)
+ j = ULbits - j;
+ if (hi0bits(rvb->x[(rvb->wds - 1) >> kshift])
+ != j)
+ rvbits++;
+ irv = STRTOG_Normal | STRTOG_Inexhi;
+ }
+ else {
+ if (bbbits == 1)
+ goto undfl;
+ decrement(rvb);
+ irv = STRTOG_Normal | STRTOG_Inexlo;
+ }
+ break;
+ }
+ if ((dval(adj) = ratio(delta, bs)) <= 2.) {
+ adj1:
+ inex = STRTOG_Inexlo;
+ if (dsign) {
+ asub = 0;
+ inex = STRTOG_Inexhi;
+ }
+ else if (denorm && bbbits <= 1) {
+ undfl:
+ rvb->wds = 0;
+ rve = emin;
+ irv = STRTOG_Underflow | STRTOG_Inexlo;
+ break;
+ }
+ adj0 = dval(adj) = 1.;
+ }
+ else {
+ adj0 = dval(adj) *= 0.5;
+ if (dsign) {
+ asub = 0;
+ inex = STRTOG_Inexlo;
+ }
+ if (dval(adj) < 2147483647.) {
+ L = adj0;
+ adj0 -= L;
+ switch(rd) {
+ case 0:
+ if (adj0 >= .5)
+ goto inc_L;
+ break;
+ case 1:
+ if (asub && adj0 > 0.)
+ goto inc_L;
+ break;
+ case 2:
+ if (!asub && adj0 > 0.) {
+ inc_L:
+ L++;
+ inex = STRTOG_Inexact - inex;
+ }
+ }
+ dval(adj) = L;
+ }
+ }
+ y = rve + rvbits;
+
+ /* adj *= ulp(dval(rv)); */
+ /* if (asub) rv -= adj; else rv += adj; */
+
+ if (!denorm && rvbits < nbits) {
+ rvb = lshift(rvb, j = nbits - rvbits);
+ rve -= j;
+ rvbits = nbits;
+ }
+ ab = d2b(dval(adj), &abe, &abits);
+ if (abe < 0)
+ rshift(ab, -abe);
+ else if (abe > 0)
+ ab = lshift(ab, abe);
+ rvb0 = rvb;
+ if (asub) {
+ /* rv -= adj; */
+ j = hi0bits(rvb->x[rvb->wds-1]);
+ rvb = diff(rvb, ab);
+ k = rvb0->wds - 1;
+ if (denorm)
+ /* do nothing */;
+ else if (rvb->wds <= k
+ || hi0bits( rvb->x[k]) >
+ hi0bits(rvb0->x[k])) {
+ /* unlikely; can only have lost 1 high bit */
+ if (rve1 == emin) {
+ --rvbits;
+ denorm = 1;
+ }
+ else {
+ rvb = lshift(rvb, 1);
+ --rve;
+ --rve1;
+ L = finished = 0;
+ }
+ }
+ }
+ else {
+ rvb = sum(rvb, ab);
+ k = rvb->wds - 1;
+ if (k >= rvb0->wds
+ || hi0bits(rvb->x[k]) < hi0bits(rvb0->x[k])) {
+ if (denorm) {
+ if (++rvbits == nbits)
+ denorm = 0;
+ }
+ else {
+ rshift(rvb, 1);
+ rve++;
+ rve1++;
+ L = 0;
+ }
+ }
+ }
+ Bfree(ab);
+ Bfree(rvb0);
+ if (finished)
+ break;
+
+ z = rve + rvbits;
+ if (y == z && L) {
+ /* Can we stop now? */
+ tol = dval(adj) * 5e-16; /* > max rel error */
+ dval(adj) = adj0 - .5;
+ if (dval(adj) < -tol) {
+ if (adj0 > tol) {
+ irv |= inex;
+ break;
+ }
+ }
+ else if (dval(adj) > tol && adj0 < 1. - tol) {
+ irv |= inex;
+ break;
+ }
+ }
+ bb0 = denorm ? 0 : trailz(rvb);
+ Bfree(bb);
+ Bfree(bd);
+ Bfree(bs);
+ Bfree(delta);
+ }
+ if (!denorm && (j = nbits - rvbits)) {
+ if (j > 0)
+ rvb = lshift(rvb, j);
+ else
+ rshift(rvb, -j);
+ rve -= j;
+ }
+ *exp = rve;
+ Bfree(bb);
+ Bfree(bd);
+ Bfree(bs);
+ Bfree(bd0);
+ Bfree(delta);
+ if (rve > fpi->emax) {
+ huge:
+ rvb->wds = 0;
+ irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi;
+#ifndef NO_ERRNO
+ errno = ERANGE;
+#endif
+ infnanexp:
+ *exp = fpi->emax + 1;
+ }
+ ret:
+ if (denorm) {
+ if (sudden_underflow) {
+ rvb->wds = 0;
+ irv = STRTOG_Underflow | STRTOG_Inexlo;
+ }
+ else {
+ irv = (irv & ~STRTOG_Retmask) |
+ (rvb->wds > 0 ? STRTOG_Denormal : STRTOG_Zero);
+ if (irv & STRTOG_Inexact)
+ irv |= STRTOG_Underflow;
+ }
+ }
+ if (se)
+ *se = (char *)s;
+ if (sign)
+ irv |= STRTOG_Neg;
+ if (rvb) {
+ copybits(bits, nbits, rvb);
+ Bfree(rvb);
+ }
+ return irv;
+ }
--- /dev/null
+/****************************************************************
+
+The author of this software is David M. Gay.
+
+Copyright (C) 2004 by David M. Gay.
+All Rights Reserved
+Based on material in the rest of /netlib/fp/gdota.tar.gz,
+which is copyright (C) 1998, 2000 by Lucent Technologies.
+
+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 variant of strtod that works on Intel ia32 systems */
+/* with the default extended-precision arithmetic -- it does not */
+/* require setting the precision control to 53 bits. */
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+#include "gdtoaimp.h"
+
+ double
+#ifdef KR_headers
+__strtod(s, sp) CONST char *s; char **sp;
+#else
+__strtod(CONST char *s, char **sp)
+#endif
+{
+ static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI };
+ ULong bits[2];
+ Long exp;
+ int k;
+ union { ULong L[2]; double d; } u;
+
+ k = __strtodg(s, sp, &fpi, &exp, bits);
+ switch(k & STRTOG_Retmask) {
+ case STRTOG_NoNumber:
+ case STRTOG_Zero:
+ u.L[0] = u.L[1] = 0;
+ break;
+
+ case STRTOG_Normal:
+ u.L[_1] = bits[0];
+ u.L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20);
+ break;
+
+ case STRTOG_Denormal:
+ u.L[_1] = bits[0];
+ u.L[_0] = bits[1];
+ break;
+
+ case STRTOG_Infinite:
+ u.L[_0] = 0x7ff00000;
+ u.L[_1] = 0;
+ break;
+
+ case STRTOG_NaN:
+ u.L[0] = d_QNAN0;
+ u.L[1] = d_QNAN1;
+ break;
+
+ case STRTOG_NaNbits:
+ u.L[_0] = 0x7ff00000 | bits[1];
+ u.L[_1] = bits[0];
+ }
+ if (k & STRTOG_Neg)
+ u.L[_0] |= 0x80000000L;
+ return u.d;
+ }
--- /dev/null
+/****************************************************************
+
+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.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+#include "gdtoaimp.h"
+
+ float
+#ifdef KR_headers
+__strtof(s, sp) CONST char *s; char **sp;
+#else
+__strtof(CONST char *s, char **sp)
+#endif
+{
+ static FPI fpi = { 24, 1-127-24+1, 254-127-24+1, 1, SI };
+ ULong bits[1];
+ Long exp;
+ int k;
+ union { ULong L[1]; float f; } u;
+
+ k = __strtodg(s, sp, &fpi, &exp, bits);
+ switch(k & STRTOG_Retmask) {
+ case STRTOG_NoNumber:
+ case STRTOG_Zero:
+ u.L[0] = 0;
+ break;
+
+ case STRTOG_Normal:
+ case STRTOG_NaNbits:
+ u.L[0] = (bits[0] & 0x7fffff) | (exp + 0x7f + 23) << 23;
+ break;
+
+ case STRTOG_Denormal:
+ u.L[0] = bits[0];
+ break;
+
+ case STRTOG_Infinite:
+ u.L[0] = 0x7f800000;
+ break;
+
+ case STRTOG_NaN:
+ u.L[0] = f_QNAN;
+ }
+ if (k & STRTOG_Neg)
+ u.L[0] |= 0x80000000L;
+ return u.f;
+ }
+
+float __cdecl
+strtof (const char * __restrict__ src, char ** __restrict__ endptr)
+ __attribute__((alias("__strtof")));
--- /dev/null
+/****************************************************************
+
+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.
+
+****************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+#include "gdtoaimp.h"
+
+#undef _0
+#undef _1
+
+/* one or the other of IEEE_MC68k or IEEE_8087 should be #defined */
+
+#ifdef IEEE_MC68k
+#define _0 0
+#define _1 1
+#define _2 2
+#define _3 3
+#define _4 4
+#endif
+#ifdef IEEE_8087
+#define _0 4
+#define _1 3
+#define _2 2
+#define _3 1
+#define _4 0
+#endif
+
+static int
+#ifdef KR_headers
+__strtopx(s, sp, V) CONST char *s; char **sp; void *V;
+#else
+__strtopx(CONST char *s, char **sp, void *V)
+#endif
+{
+ static FPI fpi = { 64, 1-16383-64+1, 32766 - 16383 - 64 + 1, 1, SI };
+ ULong bits[2];
+ Long exp;
+ int k;
+ UShort *L = (UShort*)V;
+
+ k = __strtodg(s, sp, &fpi, &exp, bits);
+ switch(k & STRTOG_Retmask) {
+ case STRTOG_NoNumber:
+ case STRTOG_Zero:
+ L[0] = L[1] = L[2] = L[3] = L[4] = 0;
+ break;
+
+ case STRTOG_Denormal:
+ L[_0] = 0;
+ goto normal_bits;
+
+ case STRTOG_Normal:
+ case STRTOG_NaNbits:
+ L[_0] = exp + 0x3fff + 63;
+ normal_bits:
+ L[_4] = (UShort)bits[0];
+ L[_3] = (UShort)(bits[0] >> 16);
+ L[_2] = (UShort)bits[1];
+ L[_1] = (UShort)(bits[1] >> 16);
+ break;
+
+ case STRTOG_Infinite:
+ L[_0] = 0x7fff;
+ L[_1] = L[_2] = L[_3] = L[_4] = 0;
+ break;
+
+ case STRTOG_NaN:
+ L[0] = ldus_QNAN0;
+ L[1] = ldus_QNAN1;
+ L[2] = ldus_QNAN2;
+ L[3] = ldus_QNAN3;
+ L[4] = ldus_QNAN4;
+ }
+ if (k & STRTOG_Neg)
+ L[_0] |= 0x8000;
+ return k;
+ }
+
+long double
+__cdecl
+__strtold (const char * __restrict__ src, char ** __restrict__ endptr)
+{
+ long double ret;
+ __strtopx(src, endptr, (void*) &ret);
+ return ret;
+}
+
+long double
+__cdecl
+strtold (const char * __restrict__ src, char ** __restrict__ endptr)
+ __attribute__((alias("__strtold")));
+
--- /dev/null
+/****************************************************************
+
+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"
+
+ Bigint *
+#ifdef KR_headers
+sum(a, b) Bigint *a; Bigint *b;
+#else
+sum(Bigint *a, Bigint *b)
+#endif
+{
+ Bigint *c;
+ ULong carry, *xc, *xa, *xb, *xe, y;
+#ifdef Pack_32
+ ULong z;
+#endif
+
+ if (a->wds < b->wds) {
+ c = b; b = a; a = c;
+ }
+ c = Balloc(a->k);
+ c->wds = a->wds;
+ carry = 0;
+ xa = a->x;
+ xb = b->x;
+ xc = c->x;
+ xe = xc + b->wds;
+#ifdef Pack_32
+ do {
+ y = (*xa & 0xffff) + (*xb & 0xffff) + carry;
+ carry = (y & 0x10000) >> 16;
+ z = (*xa++ >> 16) + (*xb++ >> 16) + carry;
+ carry = (z & 0x10000) >> 16;
+ Storeinc(xc, z, y);
+ }
+ while(xc < xe);
+ xe += a->wds - b->wds;
+ while(xc < xe) {
+ y = (*xa & 0xffff) + carry;
+ carry = (y & 0x10000) >> 16;
+ z = (*xa++ >> 16) + carry;
+ carry = (z & 0x10000) >> 16;
+ Storeinc(xc, z, y);
+ }
+#else
+ do {
+ y = *xa++ + *xb++ + carry;
+ carry = (y & 0x10000) >> 16;
+ *xc++ = y & 0xffff;
+ }
+ while(xc < xe);
+ xe += a->wds - b->wds;
+ while(xc < xe) {
+ y = *xa++ + carry;
+ carry = (y & 0x10000) >> 16;
+ *xc++ = y & 0xffff;
+ }
+#endif
+ if (carry) {
+ if (c->wds == c->maxwds) {
+ b = Balloc(c->k + 1);
+ Bcopy(b, c);
+ Bfree(c);
+ c = b;
+ }
+ c->x[c->wds++] = 1;
+ }
+ return c;
+ }
--- /dev/null
+/****************************************************************
+
+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"
+
+ double
+ulp
+#ifdef KR_headers
+ (x) double x;
+#else
+ (double x)
+#endif
+{
+ Long L;
+ double a;
+
+ L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
+#ifndef Sudden_Underflow
+ if (L > 0) {
+#endif
+#ifdef IBM
+ L |= Exp_msk1 >> 4;
+#endif
+ word0(a) = L;
+ word1(a) = 0;
+#ifndef Sudden_Underflow
+ }
+ else {
+ L = -L >> Exp_shift;
+ if (L < Exp_shift) {
+ word0(a) = 0x80000 >> L;
+ word1(a) = 0;
+ }
+ else {
+ word0(a) = 0;
+ L -= Exp_shift;
+ word1(a) = L >= 31 ? 1 : 1 << (31 - L);
+ }
+ }
+#endif
+ return a;
+ }
+++ /dev/null
-/* This file is extracted from S L Moshier's ioldoubl.c,
- * modified for use in MinGW
- *
- * Extended precision arithmetic functions for long double I/O.
- * This program has been placed in the public domain.
- */
-
-
-/*
- * Revision history:
- *
- * 5 Jan 84 PDP-11 assembly language version
- * 6 Dec 86 C language version
- * 30 Aug 88 100 digit version, improved rounding
- * 15 May 92 80-bit long double support
- *
- * Author: S. L. Moshier.
- *
- * 6 Oct 02 Modified for MinGW by inlining utility routines,
- * removing global variables and splitting out strtold
- * from _IO_ldtoa and _IO_ldtostr.
- *
- * Danny Smith <dannysmith@users.sourceforge.net>
- *
- */
-
-
-#ifdef USE_LDTOA
-
-#include "math/cephes_emath.h"
-
-#if NE == 10
-
-/* 1.0E0 */
-static const unsigned short __eone[NE] =
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,};
-
-#else
-
-static const unsigned short __eone[NE] = {
-0, 0000000,0000000,0000000,0100000,0x3fff,};
-#endif
-
-
-#if NE == 10
-static const unsigned short __etens[NTEN + 1][NE] =
-{
- {0x6576, 0x4a92, 0x804a, 0x153f,
- 0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */
- {0x6a32, 0xce52, 0x329a, 0x28ce,
- 0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */
- {0x526c, 0x50ce, 0xf18b, 0x3d28,
- 0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,},
- {0x9c66, 0x58f8, 0xbc50, 0x5c54,
- 0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,},
- {0x851e, 0xeab7, 0x98fe, 0x901b,
- 0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,},
- {0x0235, 0x0137, 0x36b1, 0x336c,
- 0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,},
- {0x50f8, 0x25fb, 0xc76b, 0x6b71,
- 0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */
-};
-
-#else
-static const unsigned short __etens[NTEN+1][NE] = {
-{0xc94c,0x979a,0x8a20,0x5202,0xc460,0x7525,},/* 10**4096 */
-{0xa74d,0x5de4,0xc53d,0x3b5d,0x9e8b,0x5a92,},/* 10**2048 */
-{0x650d,0x0c17,0x8175,0x7586,0xc976,0x4d48,},
-{0xcc65,0x91c6,0xa60e,0xa0ae,0xe319,0x46a3,},
-{0xddbc,0xde8d,0x9df9,0xebfb,0xaa7e,0x4351,},
-{0xc66f,0x8cdf,0x80e9,0x47c9,0x93ba,0x41a8,},
-{0x3cbf,0xa6d5,0xffcf,0x1f49,0xc278,0x40d3,},
-{0xf020,0xb59d,0x2b70,0xada8,0x9dc5,0x4069,},
-{0x0000,0x0000,0x0400,0xc9bf,0x8e1b,0x4034,},
-{0x0000,0x0000,0x0000,0x2000,0xbebc,0x4019,},
-{0x0000,0x0000,0x0000,0x0000,0x9c40,0x400c,},
-{0x0000,0x0000,0x0000,0x0000,0xc800,0x4005,},
-{0x0000,0x0000,0x0000,0x0000,0xa000,0x4002,}, /* 10**1 */
-};
-#endif
-
-#if NE == 10
-static const unsigned short __emtens[NTEN + 1][NE] =
-{
- {0x2030, 0xcffc, 0xa1c3, 0x8123,
- 0x2de3, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */
- {0x8264, 0xd2cb, 0xf2ea, 0x12d4,
- 0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */
- {0xf53f, 0xf698, 0x6bd3, 0x0158,
- 0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,},
- {0xe731, 0x04d4, 0xe3f2, 0xd332,
- 0x7132, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,},
- {0xa23e, 0x5308, 0xfefb, 0x1155,
- 0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,},
- {0xe26d, 0xdbde, 0xd05d, 0xb3f6,
- 0xac7c, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,},
- {0x2a20, 0x6224, 0x47b3, 0x98d7,
- 0x3f23, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,},
- {0x0b5b, 0x4af2, 0xa581, 0x18ed,
- 0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,},
- {0xbf71, 0xa9b3, 0x7989, 0xbe68,
- 0x4c2e, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,},
- {0x3d4d, 0x7c3d, 0x36ba, 0x0d2b,
- 0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,},
- {0xc155, 0xa4a8, 0x404e, 0x6113,
- 0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,},
- {0xd70a, 0x70a3, 0x0a3d, 0xa3d7,
- 0x3d70, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,},
- {0xcccd, 0xcccc, 0xcccc, 0xcccc,
- 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */
-};
-
-#else
-static const unsigned short __emtens[NTEN+1][NE] = {
-{0x2de4,0x9fde,0xd2ce,0x04c8,0xa6dd,0x0ad8,}, /* 10**-4096 */
-{0x4925,0x2de4,0x3436,0x534f,0xceae,0x256b,}, /* 10**-2048 */
-{0x87a6,0xc0bd,0xda57,0x82a5,0xa2a6,0x32b5,},
-{0x7133,0xd21c,0xdb23,0xee32,0x9049,0x395a,},
-{0xfa91,0x1939,0x637a,0x4325,0xc031,0x3cac,},
-{0xac7d,0xe4a0,0x64bc,0x467c,0xddd0,0x3e55,},
-{0x3f24,0xe9a5,0xa539,0xea27,0xa87f,0x3f2a,},
-{0x67de,0x94ba,0x4539,0x1ead,0xcfb1,0x3f94,},
-{0x4c2f,0xe15b,0xc44d,0x94be,0xe695,0x3fc9,},
-{0xfdc2,0xcefc,0x8461,0x7711,0xabcc,0x3fe4,},
-{0xd3c3,0x652b,0xe219,0x1758,0xd1b7,0x3ff1,},
-{0x3d71,0xd70a,0x70a3,0x0a3d,0xa3d7,0x3ff8,},
-{0xcccd,0xcccc,0xcccc,0xcccc,0xcccc,0x3ffb,}, /* 10**-1 */
-};
-#endif
-
-/* This routine will not return more than NDEC+1 digits. */
-void __etoasc(short unsigned int * __restrict__ x,
- char * __restrict__ string,
- const int ndigits, const int outformat,
- int* outexp)
-{
-long digit;
-unsigned short y[NI], t[NI], u[NI], w[NI], equot[NI];
-const unsigned short *r, *p;
-const unsigned short *ten;
-unsigned short sign;
-int i, j, k, expon, ndigs;
-char *s, *ss;
-unsigned short m;
-
-ndigs = ndigits;
-#ifdef NANS
-if( __eisnan(x) )
- {
- sprintf( string, " NaN " );
- expon = 9999;
- goto bxit;
- }
-#endif
-__emov( x, y ); /* retain external format */
-if( y[NE-1] & 0x8000 )
- {
- sign = 0xffff;
- y[NE-1] &= 0x7fff;
- }
-else
- {
- sign = 0;
- }
-expon = 0;
-ten = &__etens[NTEN][0];
-__emov( __eone, t );
-/* Test for zero exponent */
-if( y[NE-1] == 0 )
- {
- for( k=0; k<NE-1; k++ )
- {
- if( y[k] != 0 )
- goto tnzro; /* denormalized number */
- }
- goto isone; /* legal all zeros */
- }
-tnzro:
-
-/* Test for infinity.
- */
-if( y[NE-1] == 0x7fff )
- {
- if( sign )
- sprintf( string, " -Infinity " );
- else
- sprintf( string, " Infinity " );
- expon = 9999;
- goto bxit;
- }
-
-/* Test for exponent nonzero but significand denormalized.
- * This is an error condition.
- */
-if( (y[NE-1] != 0) && ((y[NE-2] & 0x8000) == 0) )
- {
- mtherr( "etoasc", DOMAIN );
- sprintf( string, "NaN" );
- expon = 9999;
- goto bxit;
- }
-
-/* Compare to 1.0 */
-i = __ecmp( __eone, y );
-if( i == 0 )
- goto isone;
-
-if( i < 0 )
- { /* Number is greater than 1 */
-/* Convert significand to an integer and strip trailing decimal zeros. */
- __emov( y, u );
- u[NE-1] = EXONE + NBITS - 1;
-
- p = &__etens[NTEN-4][0];
- m = 16;
-do
- {
- __ediv( p, u, t);
- __efloor( t, w );
- for( j=0; j<NE-1; j++ )
- {
- if( t[j] != w[j] )
- goto noint;
- }
- __emov( t, u );
- expon += (int )m;
-noint:
- p += NE;
- m >>= 1;
- }
-while( m != 0 );
-
-/* Rescale from integer significand */
- u[NE-1] += y[NE-1] - (unsigned int )(EXONE + NBITS - 1);
- __emov( u, y );
-/* Find power of 10 */
- __emov( __eone, t );
- m = MAXP;
- p = &__etens[0][0];
- while( __ecmp( ten, u ) <= 0 )
- {
- if( __ecmp( p, u ) <= 0 )
- {
- __ediv( p, u, u );
- __emul( p, t, t );
- expon += (int )m;
- }
- m >>= 1;
- if( m == 0 )
- break;
- p += NE;
- }
- }
-else
- { /* Number is less than 1.0 */
-/* Pad significand with trailing decimal zeros. */
- if( y[NE-1] == 0 )
- {
- while( (y[NE-2] & 0x8000) == 0 )
- {
- __emul( ten, y, y );
- expon -= 1;
- }
- }
- else
- {
- __emovi( y, w );
- for( i=0; i<NDEC+1; i++ )
- {
- if( (w[NI-1] & 0x7) != 0 )
- break;
-/* multiply by 10 */
- __emovz( w, u );
- __eshdn1( u );
- __eshdn1( u );
- __eaddm( w, u );
- u[1] += 3;
- while( u[2] != 0 )
- {
- __eshdn1(u);
- u[1] += 1;
- }
- if( u[NI-1] != 0 )
- break;
- if( __eone[NE-1] <= u[1] )
- break;
- __emovz( u, w );
- expon -= 1;
- }
- __emovo( w, y );
- }
- k = -MAXP;
- p = &__emtens[0][0];
- r = &__etens[0][0];
- __emov( y, w );
- __emov( __eone, t );
- while( __ecmp( __eone, w ) > 0 )
- {
- if( __ecmp( p, w ) >= 0 )
- {
- __emul( r, w, w );
- __emul( r, t, t );
- expon += k;
- }
- k /= 2;
- if( k == 0 )
- break;
- p += NE;
- r += NE;
- }
- __ediv( t, __eone, t );
- }
-isone:
-/* Find the first (leading) digit. */
-__emovi( t, w );
-__emovz( w, t );
-__emovi( y, w );
-__emovz( w, y );
-__eiremain( t, y, equot);
-digit = equot[NI-1];
-while( (digit == 0) && (__eiszero(y) == 0) )
- {
- __eshup1( y );
- __emovz( y, u );
- __eshup1( u );
- __eshup1( u );
- __eaddm( u, y );
- __eiremain( t, y, equot);
- digit = equot[NI-1];
- expon -= 1;
- }
-s = string;
-if( sign )
- *s++ = '-';
-else
- *s++ = ' ';
-/* Examine number of digits requested by caller. */
-if( outformat == 3 )
- ndigs += expon;
-/*
-else if( ndigs < 0 )
- ndigs = 0;
-*/
-if( ndigs > NDEC )
- ndigs = NDEC;
-if( digit == 10 )
- {
- *s++ = '1';
- *s++ = '.';
- if( ndigs > 0 )
- {
- *s++ = '0';
- ndigs -= 1;
- }
- expon += 1;
- if( ndigs < 0 )
- {
- ss = s;
- goto doexp;
- }
- }
-else
- {
- *s++ = (char )digit + '0';
- *s++ = '.';
- }
-/* Generate digits after the decimal point. */
-for( k=0; k<=ndigs; k++ )
- {
-/* multiply current number by 10, without normalizing */
- __eshup1( y );
- __emovz( y, u );
- __eshup1( u );
- __eshup1( u );
- __eaddm( u, y );
- __eiremain( t, y, equot);
- *s++ = (char )equot[NI-1] + '0';
- }
-digit = equot[NI-1];
---s;
-ss = s;
-/* round off the ASCII string */
-if( digit > 4 )
- {
-/* Test for critical rounding case in ASCII output. */
- if( digit == 5 )
- {
- if( __eiiszero(y) == 0 )
- goto roun; /* round to nearest */
- if( (*(s-1) & 1) == 0 )
- goto doexp; /* round to even */
- }
-/* Round up and propagate carry-outs */
-roun:
- --s;
- k = *s & 0x7f;
-/* Carry out to most significant digit? */
- if( ndigs < 0 )
- {
- /* This will print like "1E-6". */
- *s = '1';
-
- expon += 1;
- goto doexp;
- }
- else if( k == '.' )
- {
- --s;
- k = *s;
- k += 1;
- *s = (char )k;
-/* Most significant digit carries to 10? */
- if( k > '9' )
- {
- expon += 1;
- *s = '1';
- }
- goto doexp;
- }
-/* Round up and carry out from less significant digits */
- k += 1;
- *s = (char )k;
- if( k > '9' )
- {
- *s = '0';
- goto roun;
- }
- }
-doexp:
-#if defined (__GO32__) || defined (__MINGW32__)
-if( expon >= 0 )
- sprintf( ss, "e+%02d", expon );
-else
- sprintf( ss, "e-%02d", -expon );
-#else
- sprintf( ss, "E%d", expon );
-#endif
-bxit:
-
-if (outexp)
- *outexp = expon;
-}
-
-
-/* FIXME: Not thread safe */
-static char outstr[128];
-
- char *
-_IO_ldtoa(long double d, int mode, int ndigits, int *decpt,
- int *sign, char **rve)
-{
-unsigned short e[NI];
-char *s, *p;
-int k;
-int outexpon = 0;
-
-union
- {
- unsigned short int us[6];
- long double ld;
- } xx;
-xx.ld = d;
-__e64toe(xx.us, e );
-if( __eisneg(e) )
- *sign = 1;
-else
- *sign = 0;
-/* Mode 3 is "f" format. */
-if( mode != 3 )
- ndigits -= 1;
-/* Mode 0 is for %.999 format, which is supposed to give a
- minimum length string that will convert back to the same binary value.
- For now, just ask for 20 digits which is enough but sometimes too many. */
-if( mode == 0 )
- ndigits = 20;
-/* This sanity limit must agree with the corresponding one in etoasc, to
- keep straight the returned value of outexpon. */
-if( ndigits > NDEC )
- ndigits = NDEC;
-
-__etoasc( e, outstr, ndigits, mode, &outexpon );
-s = outstr;
-if( __eisinf(e) || __eisnan(e) )
- {
- *decpt = 9999;
- goto stripspaces;
- }
-*decpt = outexpon + 1;
-
-/* Transform the string returned by etoasc into what the caller wants. */
-
-/* Look for decimal point and delete it from the string. */
-s = outstr;
-while( *s != '\0' )
- {
- if( *s == '.' )
- goto yesdecpt;
- ++s;
- }
-goto nodecpt;
-
-yesdecpt:
-
-/* Delete the decimal point. */
-while( *s != '\0' )
- {
- *s = *(s+1);
- ++s;
- }
-
-nodecpt:
-
-/* Back up over the exponent field. */
-while( *s != 'E' && *s != 'e' && s > outstr)
- --s;
-*s = '\0';
-
-stripspaces:
-
-/* Strip leading spaces and sign. */
-p = outstr;
-while( *p == ' ' || *p == '-')
- ++p;
-
-/* Find new end of string. */
-s = outstr;
-while( (*s++ = *p++) != '\0' )
- ;
---s;
-
-/* Strip trailing zeros. */
-if( mode == 2 )
- k = 1;
-else if( ndigits > outexpon )
- k = ndigits;
-else
- k = outexpon;
-
-while( *(s-1) == '0' && ((s - outstr) > k))
- *(--s) = '\0';
-
-/* In f format, flush small off-scale values to zero.
- Rounding has been taken care of by etoasc. */
-if( mode == 3 && ((ndigits + outexpon) < 0))
- {
- s = outstr;
- *s = '\0';
- *decpt = 0;
- }
-
-if( rve )
- *rve = s;
-return outstr;
-}
-
-void
-_IO_ldtostr(long double *x, char *string, int ndigs, int flags, char fmt)
-{
-unsigned short w[NI];
-char *t, *u;
-int outexpon = 0;
-int outformat = -1;
-char dec_sym = *(localeconv()->decimal_point);
-
-__e64toe( (unsigned short *)x, w );
-__etoasc( w, string, ndigs, outformat, &outexpon );
-
-if( ndigs == 0 && flags == 0 )
- {
- /* Delete the decimal point unless alternate format. */
- t = string;
- while( *t != '.' )
- ++t;
- u = t + 1;
- while( *t != '\0' )
- *t++ = *u++;
- }
-if (*string == ' ')
- {
- t = string;
- u = t + 1;
- while( *t != '\0' )
- *t++ = *u++;
- }
-if (fmt == 'E')
- {
- t = string;
- while( *t != 'e' )
- ++t;
- *t = 'E';
- }
-if (dec_sym != '.')
- {
- t = string;
- while (*t != '.')
- ++t;
- *t = dec_sym;
- }
-}
-
-#endif /* USE_LDTOA */
+++ /dev/null
-/* This file is extracted from S L Moshier's ioldoubl.c,
- * modified for use in MinGW
- *
- * Extended precision arithmetic functions for long double I/O.
- * This program has been placed in the public domain.
- */
-
-
-
-/*
- * Revision history:
- *
- * 5 Jan 84 PDP-11 assembly language version
- * 6 Dec 86 C language version
- * 30 Aug 88 100 digit version, improved rounding
- * 15 May 92 80-bit long double support
- *
- * Author: S. L. Moshier.
- *
- * 6 Oct 02 Modified for MinGW by inlining utility routines,
- * removing global variables and splitting out strtold
- * from _IO_ldtoa and _IO_ldtostr.
- *
- * Danny Smith <dannysmith@users.sourceforge.net>
- *
- */
-
-
-#include "cephes_emath.h"
-
-/*
- * The constants are for 64 bit precision.
- */
-
-
-/* Move in external format number,
- * converting it to internal format.
- */
-void __emovi(const short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b)
-{
-register const unsigned short *p;
-register unsigned short *q;
-int i;
-
-q = b;
-p = a + (NE-1); /* point to last word of external number */
-/* get the sign bit */
-if( *p & 0x8000 )
- *q++ = 0xffff;
-else
- *q++ = 0;
-/* get the exponent */
-*q = *p--;
-*q++ &= 0x7fff; /* delete the sign bit */
-#ifdef INFINITY
-if( (*(q-1) & 0x7fff) == 0x7fff )
- {
-#ifdef NANS
- if( __eisnan(a) )
- {
- *q++ = 0;
- for( i=3; i<NI; i++ )
- *q++ = *p--;
- return;
- }
-#endif
- for( i=2; i<NI; i++ )
- *q++ = 0;
- return;
- }
-#endif
-/* clear high guard word */
-*q++ = 0;
-/* move in the significand */
-for( i=0; i<NE-1; i++ )
- *q++ = *p--;
-/* clear low guard word */
-*q = 0;
-}
-
-
-/*
-; Add significands
-; x + y replaces y
-*/
-
-void __eaddm(const short unsigned int * __restrict__ x,
- short unsigned int * __restrict__ y)
-{
-register unsigned long a;
-int i;
-unsigned int carry;
-
-x += NI-1;
-y += NI-1;
-carry = 0;
-for( i=M; i<NI; i++ )
- {
- a = (unsigned long )(*x) + (unsigned long )(*y) + carry;
- if( a & 0x10000 )
- carry = 1;
- else
- carry = 0;
- *y = (unsigned short )a;
- --x;
- --y;
- }
-}
-
-/*
-; Subtract significands
-; y - x replaces y
-*/
-
-void __esubm(const short unsigned int * __restrict__ x,
- short unsigned int * __restrict__ y)
-{
-unsigned long a;
-int i;
-unsigned int carry;
-
-x += NI-1;
-y += NI-1;
-carry = 0;
-for( i=M; i<NI; i++ )
- {
- a = (unsigned long )(*y) - (unsigned long )(*x) - carry;
- if( a & 0x10000 )
- carry = 1;
- else
- carry = 0;
- *y = (unsigned short )a;
- --x;
- --y;
- }
-}
-
-
-/* Multiply significand of e-type number b
-by 16-bit quantity a, e-type result to c. */
-
-static void __m16m(short unsigned int a,
- short unsigned int * __restrict__ b,
- short unsigned int * __restrict__ c)
-{
-register unsigned short *pp;
-register unsigned long carry;
-unsigned short *ps;
-unsigned short p[NI];
-unsigned long aa, m;
-int i;
-
-aa = a;
-pp = &p[NI-2];
-*pp++ = 0;
-*pp = 0;
-ps = &b[NI-1];
-
-for( i=M+1; i<NI; i++ )
- {
- if( *ps == 0 )
- {
- --ps;
- --pp;
- *(pp-1) = 0;
- }
- else
- {
- m = (unsigned long) aa * *ps--;
- carry = (m & 0xffff) + *pp;
- *pp-- = (unsigned short )carry;
- carry = (carry >> 16) + (m >> 16) + *pp;
- *pp = (unsigned short )carry;
- *(pp-1) = carry >> 16;
- }
- }
-for( i=M; i<NI; i++ )
- c[i] = p[i];
-}
-
-
-/* Divide significands. Neither the numerator nor the denominator
-is permitted to have its high guard word nonzero. */
-
-
-int __edivm(short unsigned int * __restrict__ den,
- short unsigned int * __restrict__ num)
-{
-int i;
-register unsigned short *p;
-unsigned long tnum;
-unsigned short j, tdenm, tquot;
-unsigned short tprod[NI+1];
-unsigned short equot[NI];
-
-p = &equot[0];
-*p++ = num[0];
-*p++ = num[1];
-
-for( i=M; i<NI; i++ )
- {
- *p++ = 0;
- }
-__eshdn1( num );
-tdenm = den[M+1];
-for( i=M; i<NI; i++ )
- {
- /* Find trial quotient digit (the radix is 65536). */
- tnum = (((unsigned long) num[M]) << 16) + num[M+1];
-
- /* Do not execute the divide instruction if it will overflow. */
- if( (tdenm * 0xffffUL) < tnum )
- tquot = 0xffff;
- else
- tquot = tnum / tdenm;
-
- /* Prove that the divide worked. */
-/*
- tcheck = (unsigned long )tquot * tdenm;
- if( tnum - tcheck > tdenm )
- tquot = 0xffff;
-*/
- /* Multiply denominator by trial quotient digit. */
- __m16m( tquot, den, tprod );
- /* The quotient digit may have been overestimated. */
- if( __ecmpm( tprod, num ) > 0 )
- {
- tquot -= 1;
- __esubm( den, tprod );
- if( __ecmpm( tprod, num ) > 0 )
- {
- tquot -= 1;
- __esubm( den, tprod );
- }
- }
- __esubm( tprod, num );
- equot[i] = tquot;
- __eshup6(num);
- }
-/* test for nonzero remainder after roundoff bit */
-p = &num[M];
-j = 0;
-for( i=M; i<NI; i++ )
- {
- j |= *p++;
- }
-if( j )
- j = 1;
-
-for( i=0; i<NI; i++ )
- num[i] = equot[i];
-
-return( (int )j );
-}
-
-
-
-/* Multiply significands */
-int __emulm(const short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b)
-{
-const unsigned short *p;
-unsigned short *q;
-unsigned short pprod[NI];
-unsigned short equot[NI];
-unsigned short j;
-int i;
-
-equot[0] = b[0];
-equot[1] = b[1];
-for( i=M; i<NI; i++ )
- equot[i] = 0;
-
-j = 0;
-p = &a[NI-1];
-q = &equot[NI-1];
-for( i=M+1; i<NI; i++ )
- {
- if( *p == 0 )
- {
- --p;
- }
- else
- {
- __m16m( *p--, b, pprod );
- __eaddm(pprod, equot);
- }
- j |= *q;
- __eshdn6(equot);
- }
-
-for( i=0; i<NI; i++ )
- b[i] = equot[i];
-
-/* return flag for lost nonzero bits */
-return( (int)j );
-}
-
-
-
-/*
- * Normalize and round off.
- *
- * The internal format number to be rounded is "s".
- * Input "lost" indicates whether the number is exact.
- * This is the so-called sticky bit.
- *
- * Input "subflg" indicates whether the number was obtained
- * by a subtraction operation. In that case if lost is nonzero
- * then the number is slightly smaller than indicated.
- *
- * Input "exp" is the biased exponent, which may be negative.
- * the exponent field of "s" is ignored but is replaced by
- * "exp" as adjusted by normalization and rounding.
- *
- * Input "rcntrl" is the rounding control.
- *
- * Input "rnprc" is precison control (64 or NBITS).
- */
-
-void __emdnorm(short unsigned int *s, int lost, int subflg, long int exp, int rcntrl, int rndprc)
-{
-int i, j;
-unsigned short r;
-int rw = NI-1; /* low guard word */
-int re = NI-2;
-const unsigned short rmsk = 0xffff;
-const unsigned short rmbit = 0x8000;
-#if NE == 6
-unsigned short rbit[NI] = {0,0,0,0,0,0,0,1,0};
-#else
-unsigned short rbit[NI] = {0,0,0,0,0,0,0,0,0,0,0,1,0};
-#endif
-
-/* Normalize */
-j = __enormlz( s );
-
-/* a blank significand could mean either zero or infinity. */
-#ifndef INFINITY
-if( j > NBITS )
- {
- __ecleazs( s );
- return;
- }
-#endif
-exp -= j;
-#ifndef INFINITY
-if( exp >= 32767L )
- goto overf;
-#else
-if( (j > NBITS) && (exp < 32767L) )
- {
- __ecleazs( s );
- return;
- }
-#endif
-if( exp < 0L )
- {
- if( exp > (long )(-NBITS-1) )
- {
- j = (int )exp;
- i = __eshift( s, j );
- if( i )
- lost = 1;
- }
- else
- {
- __ecleazs( s );
- return;
- }
- }
-/* Round off, unless told not to by rcntrl. */
-if( rcntrl == 0 )
- goto mdfin;
-if (rndprc == 64)
- {
- rw = 7;
- re = 6;
- rbit[NI-2] = 0;
- rbit[6] = 1;
- }
-
-/* Shift down 1 temporarily if the data structure has an implied
- * most significant bit and the number is denormal.
- * For rndprc = 64 or NBITS, there is no implied bit.
- * But Intel long double denormals lose one bit of significance even so.
- */
-#if IBMPC
-if( (exp <= 0) && (rndprc != NBITS) )
-#else
-if( (exp <= 0) && (rndprc != 64) && (rndprc != NBITS) )
-#endif
- {
- lost |= s[NI-1] & 1;
- __eshdn1(s);
- }
-/* Clear out all bits below the rounding bit,
- * remembering in r if any were nonzero.
- */
-r = s[rw] & rmsk;
-if( rndprc < NBITS )
- {
- i = rw + 1;
- while( i < NI )
- {
- if( s[i] )
- r |= 1;
- s[i] = 0;
- ++i;
- }
- }
-s[rw] &= ~rmsk;
-if( (r & rmbit) != 0 )
- {
- if( r == rmbit )
- {
- if( lost == 0 )
- { /* round to even */
- if( (s[re] & 1) == 0 )
- goto mddone;
- }
- else
- {
- if( subflg != 0 )
- goto mddone;
- }
- }
- __eaddm( rbit, s );
- }
-mddone:
-#if IBMPC
-if( (exp <= 0) && (rndprc != NBITS) )
-#else
-if( (exp <= 0) && (rndprc != 64) && (rndprc != NBITS) )
-#endif
- {
- __eshup1(s);
- }
-if( s[2] != 0 )
- { /* overflow on roundoff */
- __eshdn1(s);
- exp += 1;
- }
-mdfin:
-s[NI-1] = 0;
-if( exp >= 32767L )
- {
-#ifndef INFINITY
-overf:
-#endif
-#ifdef INFINITY
- s[1] = 32767;
- for( i=2; i<NI-1; i++ )
- s[i] = 0;
-#else
- s[1] = 32766;
- s[2] = 0;
- for( i=M+1; i<NI-1; i++ )
- s[i] = 0xffff;
- s[NI-1] = 0;
- if( (rndprc < 64) || (rndprc == 113) )
- s[rw] &= ~rmsk;
-#endif
- return;
- }
-if( exp < 0 )
- s[1] = 0;
-else
- s[1] = (unsigned short )exp;
-}
-
-
-/*
-; Multiply.
-;
-; unsigned short a[NE], b[NE], c[NE];
-; emul( a, b, c ); c = b * a
-*/
-void __emul(const short unsigned int *a,
- const short unsigned int *b,
- short unsigned int *c)
-{
-unsigned short ai[NI], bi[NI];
-int i, j;
-long lt, lta, ltb;
-
-#ifdef NANS
-/* NaN times anything is the same NaN. */
-if( __eisnan(a) )
- {
- __emov(a,c);
- return;
- }
-if( __eisnan(b) )
- {
- __emov(b,c);
- return;
- }
-/* Zero times infinity is a NaN. */
-if( (__eisinf(a) && __eiiszero(b))
- || (__eisinf(b) && __eiiszero(a)) )
- {
- mtherr( "emul", DOMAIN );
- __enan_NBITS( c );
- return;
- }
-#endif
-/* Infinity times anything else is infinity. */
-#ifdef INFINITY
-if( __eisinf(a) || __eisinf(b) )
- {
- if( __eisneg(a) ^ __eisneg(b) )
- *(c+(NE-1)) = 0x8000;
- else
- *(c+(NE-1)) = 0;
- __einfin(c);
- return;
- }
-#endif
-__emovi( a, ai );
-__emovi( b, bi );
-lta = ai[E];
-ltb = bi[E];
-if( ai[E] == 0 )
- {
- for( i=1; i<NI-1; i++ )
- {
- if( ai[i] != 0 )
- {
- lta -= __enormlz( ai );
- goto mnzer1;
- }
- }
- __eclear(c);
- return;
- }
-mnzer1:
-
-if( bi[E] == 0 )
- {
- for( i=1; i<NI-1; i++ )
- {
- if( bi[i] != 0 )
- {
- ltb -= __enormlz( bi );
- goto mnzer2;
- }
- }
- __eclear(c);
- return;
- }
-mnzer2:
-
-/* Multiply significands */
-j = __emulm( ai, bi );
-/* calculate exponent */
-lt = lta + ltb - (EXONE - 1);
-__emdnorm( bi, j, 0, lt, 64, NBITS );
-/* calculate sign of product */
-if( ai[0] == bi[0] )
- bi[0] = 0;
-else
- bi[0] = 0xffff;
-__emovo( bi, c );
-}
-
-
-/* move out internal format to ieee long double */
-void __toe64(short unsigned int *a, short unsigned int *b)
-{
-register unsigned short *p, *q;
-unsigned short i;
-
-#ifdef NANS
-if( __eiisnan(a) )
- {
- __enan_64( b );
- return;
- }
-#endif
-#ifdef IBMPC
-/* Shift Intel denormal significand down 1. */
-if( a[E] == 0 )
- __eshdn1(a);
-#endif
-p = a;
-#ifdef MIEEE
-q = b;
-#else
-q = b + 4; /* point to output exponent */
-#if 1
-/* NOTE: if data type is 96 bits wide, clear the last word here. */
-*(q+1)= 0;
-#endif
-#endif
-
-/* combine sign and exponent */
-i = *p++;
-#ifdef MIEEE
-if( i )
- *q++ = *p++ | 0x8000;
-else
- *q++ = *p++;
-*q++ = 0;
-#else
-if( i )
- *q-- = *p++ | 0x8000;
-else
- *q-- = *p++;
-#endif
-/* skip over guard word */
-++p;
-/* move the significand */
-#ifdef MIEEE
-for( i=0; i<4; i++ )
- *q++ = *p++;
-#else
-#ifdef INFINITY
-if (__eiisinf (a))
- {
- /* Intel long double infinity. */
- *q-- = 0x8000;
- *q-- = 0;
- *q-- = 0;
- *q = 0;
- return;
- }
-#endif
-for( i=0; i<4; i++ )
- *q-- = *p++;
-#endif
-}
-
-
-/* Compare two e type numbers.
- *
- * unsigned short a[NE], b[NE];
- * ecmp( a, b );
- *
- * returns +1 if a > b
- * 0 if a == b
- * -1 if a < b
- * -2 if either a or b is a NaN.
- */
-int __ecmp(const short unsigned int * __restrict__ a,
- const short unsigned int * __restrict__ b)
-{
-unsigned short ai[NI], bi[NI];
-register unsigned short *p, *q;
-register int i;
-int msign;
-
-#ifdef NANS
-if (__eisnan (a) || __eisnan (b))
- return( -2 );
-#endif
-__emovi( a, ai );
-p = ai;
-__emovi( b, bi );
-q = bi;
-
-if( *p != *q )
- { /* the signs are different */
-/* -0 equals + 0 */
- for( i=1; i<NI-1; i++ )
- {
- if( ai[i] != 0 )
- goto nzro;
- if( bi[i] != 0 )
- goto nzro;
- }
- return(0);
-nzro:
- if( *p == 0 )
- return( 1 );
- else
- return( -1 );
- }
-/* both are the same sign */
-if( *p == 0 )
- msign = 1;
-else
- msign = -1;
-i = NI-1;
-do
- {
- if( *p++ != *q++ )
- {
- goto diff;
- }
- }
-while( --i > 0 );
-
-return(0); /* equality */
-
-
-
-diff:
-
-if( *(--p) > *(--q) )
- return( msign ); /* p is bigger */
-else
- return( -msign ); /* p is littler */
-}
-
-/*
-; Shift significand
-;
-; Shifts significand area up or down by the number of bits
-; given by the variable sc.
-*/
-int __eshift(short unsigned int *x, int sc)
-{
-unsigned short lost;
-unsigned short *p;
-
-if( sc == 0 )
- return( 0 );
-
-lost = 0;
-p = x + NI-1;
-
-if( sc < 0 )
- {
- sc = -sc;
- while( sc >= 16 )
- {
- lost |= *p; /* remember lost bits */
- __eshdn6(x);
- sc -= 16;
- }
-
- while( sc >= 8 )
- {
- lost |= *p & 0xff;
- __eshdn8(x);
- sc -= 8;
- }
-
- while( sc > 0 )
- {
- lost |= *p & 1;
- __eshdn1(x);
- sc -= 1;
- }
- }
-else
- {
- while( sc >= 16 )
- {
- __eshup6(x);
- sc -= 16;
- }
-
- while( sc >= 8 )
- {
- __eshup8(x);
- sc -= 8;
- }
-
- while( sc > 0 )
- {
- __eshup1(x);
- sc -= 1;
- }
- }
-if( lost )
- lost = 1;
-return( (int )lost );
-}
-
-
-
-/*
-; normalize
-;
-; Shift normalizes the significand area pointed to by argument
-; shift count (up = positive) is returned.
-*/
-int __enormlz(short unsigned int *x)
-{
-register unsigned short *p;
-int sc;
-
-sc = 0;
-p = &x[M];
-if( *p != 0 )
- goto normdn;
-++p;
-if( *p & 0x8000 )
- return( 0 ); /* already normalized */
-while( *p == 0 )
- {
- __eshup6(x);
- sc += 16;
-/* With guard word, there are NBITS+16 bits available.
- * return true if all are zero.
- */
- if( sc > NBITS )
- return( sc );
- }
-/* see if high byte is zero */
-while( (*p & 0xff00) == 0 )
- {
- __eshup8(x);
- sc += 8;
- }
-/* now shift 1 bit at a time */
-while( (*p & 0x8000) == 0)
- {
- __eshup1(x);
- sc += 1;
- if( sc > (NBITS+16) )
- {
- mtherr( "enormlz", UNDERFLOW );
- return( sc );
- }
- }
-return( sc );
-
-/* Normalize by shifting down out of the high guard word
- of the significand */
-normdn:
-
-if( *p & 0xff00 )
- {
- __eshdn8(x);
- sc -= 8;
- }
-while( *p != 0 )
- {
- __eshdn1(x);
- sc -= 1;
-
- if( sc < -NBITS )
- {
- mtherr( "enormlz", OVERFLOW );
- return( sc );
- }
- }
-return( sc );
-}
-
-
-/* Move internal format number out,
- * converting it to external format.
- */
-void __emovo(const short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b)
-{
-register const unsigned short *p;
-register unsigned short *q;
-unsigned short i;
-
-p = a;
-q = b + (NE-1); /* point to output exponent */
-/* combine sign and exponent */
-i = *p++;
-if( i )
- *q-- = *p++ | 0x8000;
-else
- *q-- = *p++;
-#ifdef INFINITY
-if( *(p-1) == 0x7fff )
- {
-#ifdef NANS
- if( __eiisnan(a) )
- {
- __enan_NBITS( b );
- return;
- }
-#endif
- __einfin(b);
- return;
- }
-#endif
-/* skip over guard word */
-++p;
-/* move the significand */
-for( i=0; i<NE-1; i++ )
- *q-- = *p++;
-}
-
-
-#if USE_LDTOA
-
-
-void __eiremain(short unsigned int *den, short unsigned int *num,
- short unsigned int *equot )
-{
-long ld, ln;
-unsigned short j;
-
-ld = den[E];
-ld -= __enormlz( den );
-ln = num[E];
-ln -= __enormlz( num );
-__ecleaz( equot );
-while( ln >= ld )
- {
- if( __ecmpm(den,num) <= 0 )
- {
- __esubm(den, num);
- j = 1;
- }
- else
- {
- j = 0;
- }
- __eshup1(equot);
- equot[NI-1] |= j;
- __eshup1(num);
- ln -= 1;
- }
-__emdnorm( num, 0, 0, ln, 0, NBITS );
-}
-
-
-void __eadd1(const short unsigned int * __restrict__ a,
- const short unsigned int * __restrict__ b,
- short unsigned int * __restrict__ c,
- int subflg)
-{
-unsigned short ai[NI], bi[NI], ci[NI];
-int i, lost, j, k;
-long lt, lta, ltb;
-
-#ifdef INFINITY
-if( __eisinf(a) )
- {
- __emov(a,c);
- if( subflg )
- __eneg(c);
- return;
- }
-if( __eisinf(b) )
- {
- __emov(b,c);
- return;
- }
-#endif
-__emovi( a, ai );
-__emovi( b, bi );
-if( sub )
- ai[0] = ~ai[0];
-
-/* compare exponents */
-lta = ai[E];
-ltb = bi[E];
-lt = lta - ltb;
-if( lt > 0L )
- { /* put the larger number in bi */
- __emovz( bi, ci );
- __emovz( ai, bi );
- __emovz( ci, ai );
- ltb = bi[E];
- lt = -lt;
- }
-lost = 0;
-if( lt != 0L )
- {
- if( lt < (long )(-NBITS-1) )
- goto done; /* answer same as larger addend */
- k = (int )lt;
- lost = __eshift( ai, k ); /* shift the smaller number down */
- }
-else
- {
-/* exponents were the same, so must compare significands */
- i = __ecmpm( ai, bi );
- if( i == 0 )
- { /* the numbers are identical in magnitude */
- /* if different signs, result is zero */
- if( ai[0] != bi[0] )
- {
- __eclear(c);
- return;
- }
- /* if same sign, result is double */
- /* double denomalized tiny number */
- if( (bi[E] == 0) && ((bi[3] & 0x8000) == 0) )
- {
- __eshup1( bi );
- goto done;
- }
- /* add 1 to exponent unless both are zero! */
- for( j=1; j<NI-1; j++ )
- {
- if( bi[j] != 0 )
- {
-/* This could overflow, but let emovo take care of that. */
- ltb += 1;
- break;
- }
- }
- bi[E] = (unsigned short )ltb;
- goto done;
- }
- if( i > 0 )
- { /* put the larger number in bi */
- __emovz( bi, ci );
- __emovz( ai, bi );
- __emovz( ci, ai );
- }
- }
-if( ai[0] == bi[0] )
- {
- __eaddm( ai, bi );
- subflg = 0;
- }
-else
- {
- __esubm( ai, bi );
- subflg = 1;
- }
-__emdnorm( bi, lost, subflg, ltb, 64, NBITS);
-
-done:
-__emovo( bi, c );
-}
-
-
-/* y = largest integer not greater than x
- * (truncated toward minus infinity)
- *
- * unsigned short x[NE], y[NE]
- *
- * efloor( x, y );
- */
-
-
-void __efloor(short unsigned int *x, short unsigned int *y)
-{
-register unsigned short *p;
-int e, expon, i;
-unsigned short f[NE];
-const unsigned short bmask[] = {
-0xffff,
-0xfffe,
-0xfffc,
-0xfff8,
-0xfff0,
-0xffe0,
-0xffc0,
-0xff80,
-0xff00,
-0xfe00,
-0xfc00,
-0xf800,
-0xf000,
-0xe000,
-0xc000,
-0x8000,
-0x0000,
-};
-
-__emov( x, f ); /* leave in external format */
-expon = (int )f[NE-1];
-e = (expon & 0x7fff) - (EXONE - 1);
-if( e <= 0 )
- {
- __eclear(y);
- goto isitneg;
- }
-/* number of bits to clear out */
-e = NBITS - e;
-__emov( f, y );
-if( e <= 0 )
- return;
-
-p = &y[0];
-while( e >= 16 )
- {
- *p++ = 0;
- e -= 16;
- }
-/* clear the remaining bits */
-*p &= bmask[e];
-/* truncate negatives toward minus infinity */
-isitneg:
-
-if( (unsigned short )expon & (unsigned short )0x8000 )
- {
- for( i=0; i<NE-1; i++ )
- {
- if( f[i] != y[i] )
- {
- __esub( __eone, y, y );
- break;
- }
- }
- }
-}
-
-/*
-; Subtract external format numbers.
-;
-; unsigned short a[NE], b[NE], c[NE];
-; esub( a, b, c ); c = b - a
-*/
-
-
-void __esub(const short unsigned int * a,
- const short unsigned int * b,
- short unsigned int * c)
-{
-
-#ifdef NANS
-if( __eisnan(a) )
- {
- __emov (a, c);
- return;
- }
-if( __eisnan(b) )
- {
- __emov(b,c);
- return;
- }
-/* Infinity minus infinity is a NaN.
- * Test for subtracting infinities of the same sign.
- */
-if( __eisinf(a) && __eisinf(b) && ((__eisneg (a) ^ __eisneg (b)) == 0))
- {
- mtherr( "esub", DOMAIN );
- __enan_NBITS( c );
- return;
- }
-#endif
-__eadd1( a, b, c, 1 );
-}
-
-
-
-/*
-; Divide.
-;
-; unsigned short a[NI], b[NI], c[NI];
-; ediv( a, b, c ); c = b / a
-*/
-
-void __ediv(const short unsigned int *a,
- const short unsigned int *b,
- short unsigned int *c)
-{
-unsigned short ai[NI], bi[NI];
-int i;
-long lt, lta, ltb;
-
-#ifdef NANS
-/* Return any NaN input. */
-if( __eisnan(a) )
- {
- __emov(a,c);
- return;
- }
-if( __eisnan(b) )
- {
- __emov(b,c);
- return;
- }
-/* Zero over zero, or infinity over infinity, is a NaN. */
-if( (__eiszero(a) && __eiszero(b))
- || (__eisinf (a) && __eisinf (b)) )
- {
- mtherr( "ediv", DOMAIN );
- __enan_NBITS( c );
- return;
- }
-#endif
-/* Infinity over anything else is infinity. */
-#ifdef INFINITY
-if( __eisinf(b) )
- {
- if( __eisneg(a) ^ __eisneg(b) )
- *(c+(NE-1)) = 0x8000;
- else
- *(c+(NE-1)) = 0;
- __einfin(c);
- return;
- }
-if( __eisinf(a) )
- {
- __eclear(c);
- return;
- }
-#endif
-__emovi( a, ai );
-__emovi( b, bi );
-lta = ai[E];
-ltb = bi[E];
-if( bi[E] == 0 )
- { /* See if numerator is zero. */
- for( i=1; i<NI-1; i++ )
- {
- if( bi[i] != 0 )
- {
- ltb -= __enormlz( bi );
- goto dnzro1;
- }
- }
- __eclear(c);
- return;
- }
-dnzro1:
-
-if( ai[E] == 0 )
- { /* possible divide by zero */
- for( i=1; i<NI-1; i++ )
- {
- if( ai[i] != 0 )
- {
- lta -= __enormlz( ai );
- goto dnzro2;
- }
- }
- if( ai[0] == bi[0] )
- *(c+(NE-1)) = 0;
- else
- *(c+(NE-1)) = 0x8000;
- __einfin(c);
- mtherr( "ediv", SING );
- return;
- }
-dnzro2:
-
-i = __edivm( ai, bi );
-/* calculate exponent */
-lt = ltb - lta + EXONE;
-__emdnorm( bi, i, 0, lt, 64, NBITS );
-/* set the sign */
-if( ai[0] == bi[0] )
- bi[0] = 0;
-else
- bi[0] = 0Xffff;
-__emovo( bi, c );
-}
-
-void __e64toe(short unsigned int *pe, short unsigned int *y)
-{
-unsigned short yy[NI];
-unsigned short *p, *q, *e;
-int i;
-
-e = pe;
-p = yy;
-for( i=0; i<NE-5; i++ )
- *p++ = 0;
-#ifdef IBMPC
-for( i=0; i<5; i++ )
- *p++ = *e++;
-#endif
-#ifdef DEC
-for( i=0; i<5; i++ )
- *p++ = *e++;
-#endif
-#ifdef MIEEE
-p = &yy[0] + (NE-1);
-*p-- = *e++;
-++e;
-for( i=0; i<4; i++ )
- *p-- = *e++;
-#endif
-
-#ifdef IBMPC
-/* For Intel long double, shift denormal significand up 1
- -- but only if the top significand bit is zero. */
-if((yy[NE-1] & 0x7fff) == 0 && (yy[NE-2] & 0x8000) == 0)
- {
- unsigned short temp[NI+1];
- __emovi(yy, temp);
- __eshup1(temp);
- __emovo(temp,y);
- return;
- }
-#endif
-#ifdef INFINITY
-/* Point to the exponent field. */
-p = &yy[NE-1];
-if( *p == 0x7fff )
- {
-#ifdef NANS
-#ifdef IBMPC
- for( i=0; i<4; i++ )
- {
- if((i != 3 && pe[i] != 0)
- /* Check for Intel long double infinity pattern. */
- || (i == 3 && pe[i] != 0x8000))
- {
- __enan_NBITS( y );
- return;
- }
- }
-#else
- for( i=1; i<=4; i++ )
- {
- if( pe[i] != 0 )
- {
- __enan_NBITS( y );
- return;
- }
- }
-#endif
-#endif /* NANS */
- __eclear( y );
- __einfin( y );
- if( *p & 0x8000 )
- __eneg(y);
- return;
- }
-#endif
-p = yy;
-q = y;
-for( i=0; i<NE; i++ )
- *q++ = *p++;
-}
-
-#endif /* USE_LDTOA */
+++ /dev/null
-#ifndef _CEPHES_EMATH_H
-#define _CEPHES_EMATH_H
-
-/* This file is extracted from S L Moshier's ioldoubl.c,
- * modified for use in MinGW
- *
- * Extended precision arithmetic functions for long double I/O.
- * This program has been placed in the public domain.
- */
-
-
-
-/*
- * Revision history:
- *
- * 5 Jan 84 PDP-11 assembly language version
- * 6 Dec 86 C language version
- * 30 Aug 88 100 digit version, improved rounding
- * 15 May 92 80-bit long double support
- *
- * Author: S. L. Moshier.
- *
- * 6 Oct 02 Modified for MinGW by inlining utility routines,
- * removing global variables, and splitting out strtold
- * from _IO_ldtoa and _IO_ldtostr.
- *
- * Danny Smith <dannysmith@users.sourceforge.net>
- *
- */
-
-
-
-/* ieee.c
- *
- * Extended precision IEEE binary floating point arithmetic routines
- *
- * Numbers are stored in C language as arrays of 16-bit unsigned
- * short integers. The arguments of the routines are pointers to
- * the arrays.
- *
- *
- * External e type data structure, simulates Intel 8087 chip
- * temporary real format but possibly with a larger significand:
- *
- * NE-1 significand words (least significant word first,
- * most significant bit is normally set)
- * exponent (value = EXONE for 1.0,
- * top bit is the sign)
- *
- *
- * Internal data structure of a number (a "word" is 16 bits):
- *
- * ei[0] sign word (0 for positive, 0xffff for negative)
- * ei[1] biased __exponent (value = EXONE for the number 1.0)
- * ei[2] high guard word (always zero after normalization)
- * ei[3]
- * to ei[NI-2] significand (NI-4 significand words,
- * most significant word first,
- * most significant bit is set)
- * ei[NI-1] low guard word (0x8000 bit is rounding place)
- *
- *
- *
- * Routines for external format numbers
- *
- * __asctoe64( string, &d ) ASCII string to long double
- * __asctoeg( string, e, prec ) ASCII string to specified precision
- * __e64toe( &d, e ) IEEE long double precision to e type
- * __eadd( a, b, c ) c = b + a
- * __eclear(e) e = 0
- * __ecmp (a, b) Returns 1 if a > b, 0 if a == b,
- * -1 if a < b, -2 if either a or b is a NaN.
- * __ediv( a, b, c ) c = b / a
- * __efloor( a, b ) truncate to integer, toward -infinity
- * __efrexp( a, exp, s ) extract exponent and significand
- * __eifrac( e, &l, frac ) e to long integer and e type fraction
- * __euifrac( e, &l, frac ) e to unsigned long integer and e type fraction
- * __einfin( e ) set e to infinity, leaving its sign alone
- * __eldexp( a, n, b ) multiply by 2**n
- * __emov( a, b ) b = a
- * __emul( a, b, c ) c = b * a
- * __eneg(e) e = -e
- * __eround( a, b ) b = nearest integer value to a
- * __esub( a, b, c ) c = b - a
- * __e24toasc( &f, str, n ) single to ASCII string, n digits after decimal
- * __e53toasc( &d, str, n ) double to ASCII string, n digits after decimal
- * __e64toasc( &d, str, n ) long double to ASCII string
- * __etoasc( e, str, n ) e to ASCII string, n digits after decimal
- * __etoe24( e, &f ) convert e type to IEEE single precision
- * __etoe53( e, &d ) convert e type to IEEE double precision
- * __etoe64( e, &d ) convert e type to IEEE long double precision
- * __eisneg( e ) 1 if sign bit of e != 0, else 0
- * __eisinf( e ) 1 if e has maximum exponent (non-IEEE)
- * or is infinite (IEEE)
- * __eisnan( e ) 1 if e is a NaN
- * __esqrt( a, b ) b = square root of a
- *
- *
- * Routines for internal format numbers
- *
- * __eaddm( ai, bi ) add significands, bi = bi + ai
- * __ecleaz(ei) ei = 0
- * __ecleazs(ei) set ei = 0 but leave its sign alone
- * __ecmpm( ai, bi ) compare significands, return 1, 0, or -1
- * __edivm( ai, bi ) divide significands, bi = bi / ai
- * __emdnorm(ai,l,s,exp) normalize and round off
- * __emovi( a, ai ) convert external a to internal ai
- * __emovo( ai, a ) convert internal ai to external a
- * __emovz( ai, bi ) bi = ai, low guard word of bi = 0
- * __emulm( ai, bi ) multiply significands, bi = bi * ai
- * __enormlz(ei) left-justify the significand
- * __eshdn1( ai ) shift significand and guards down 1 bit
- * __eshdn8( ai ) shift down 8 bits
- * __eshdn6( ai ) shift down 16 bits
- * __eshift( ai, n ) shift ai n bits up (or down if n < 0)
- * __eshup1( ai ) shift significand and guards up 1 bit
- * __eshup8( ai ) shift up 8 bits
- * __eshup6( ai ) shift up 16 bits
- * __esubm( ai, bi ) subtract significands, bi = bi - ai
- *
- *
- * The result is always normalized and rounded to NI-4 word precision
- * after each arithmetic operation.
- *
- * Exception flags are NOT fully supported.
- *
- * Define INFINITY in mconf.h for support of infinity; otherwise a
- * saturation arithmetic is implemented.
- *
- * Define NANS for support of Not-a-Number items; otherwise the
- * arithmetic will never produce a NaN output, and might be confused
- * by a NaN input.
- * If NaN's are supported, the output of ecmp(a,b) is -2 if
- * either a or b is a NaN. This means asking if(ecmp(a,b) < 0)
- * may not be legitimate. Use if(ecmp(a,b) == -1) for less-than
- * if in doubt.
- * Signaling NaN's are NOT supported; they are treated the same
- * as quiet NaN's.
- *
- * Denormals are always supported here where appropriate (e.g., not
- * for conversion to DEC numbers).
- */
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <string.h>
-#include <errno.h>
-#include <math.h>
-#include <locale.h>
-#include <ctype.h>
-
-#define alloca __builtin_alloca
-
-/* Don't build non-ANSI _IO_ldtoa. It is not thread safe. */
-#ifndef USE_LDTOA
-#define USE_LDTOA 0
-#endif
-
-
- /* Number of 16 bit words in external x type format */
-#define NE 6
-
- /* Number of 16 bit words in internal format */
-#define NI (NE+3)
-
- /* Array offset to exponent */
-#define E 1
-
- /* Array offset to high guard word */
-#define M 2
-
- /* Number of bits of precision */
-#define NBITS ((NI-4)*16)
-
- /* Maximum number of decimal digits in ASCII conversion
- * = NBITS*log10(2)
- */
-#define NDEC (NBITS*8/27)
-
- /* The exponent of 1.0 */
-#define EXONE (0x3fff)
-
-
-#define mtherr(x,y)
-
-
-extern long double strtold (const char * __restrict__ s, char ** __restrict__ se);
-extern int __asctoe64(const char * __restrict__ ss,
- short unsigned int * __restrict__ y);
-extern void __emul(const short unsigned int * a,
- const short unsigned int * b,
- short unsigned int * c);
-extern int __ecmp(const short unsigned int * __restrict__ a,
- const short unsigned int * __restrict__ b);
-extern int __enormlz(short unsigned int *x);
-extern int __eshift(short unsigned int *x, int sc);
-extern void __eaddm(const short unsigned int * __restrict__ x,
- short unsigned int * __restrict__ y);
-extern void __esubm(const short unsigned int * __restrict__ x,
- short unsigned int * __restrict__ y);
-extern void __emdnorm(short unsigned int *s, int lost, int subflg,
- long int exp, int rcntrl, const int rndprc);
-extern void __toe64(short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b);
-extern int __edivm(short unsigned int * __restrict__ den,
- short unsigned int * __restrict__ num);
-extern int __emulm(const short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b);
-extern void __emovi(const short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b);
-extern void __emovo(const short unsigned int * __restrict__ a,
- short unsigned int * __restrict__ b);
-
-#if USE_LDTOA
-
-extern char * _IO_ldtoa(long double, int, int, int *, int *, char **);
-extern void _IO_ldtostr(long double *x, char *string, int ndigs,
- int flags, char fmt);
-
-extern void __eiremain(short unsigned int * __restrict__ den,
- short unsigned int *__restrict__ num,
- short unsigned int *__restrict__ equot);
-extern void __efloor(short unsigned int *x, short unsigned int *y);
-extern void __eadd1(const short unsigned int * __restrict__ a,
- const short unsigned int * __restrict__ b,
- short unsigned int * __restrict__ c,
- int subflg);
-extern void __esub(const short unsigned int *a, const short unsigned int *b,
- short unsigned int *c);
-extern void __ediv(const short unsigned int *a, const short unsigned int *b,
- short unsigned int *c);
-extern void __e64toe(short unsigned int *pe, short unsigned int *y);
-
-
-#endif
-
-static __inline__ int __eisneg(const short unsigned int *x);
-static __inline__ int __eisinf(const short unsigned int *x);
-static __inline__ int __eisnan(const short unsigned int *x);
-static __inline__ int __eiszero(const short unsigned int *a);
-static __inline__ void __emovz(register const short unsigned int * __restrict__ a,
- register short unsigned int * __restrict__ b);
-static __inline__ void __eclear(register short unsigned int *x);
-static __inline__ void __ecleaz(register short unsigned int *xi);
-static __inline__ void __ecleazs(register short unsigned int *xi);
-static __inline__ int __eiisinf(const short unsigned int *x);
-static __inline__ int __eiisnan(const short unsigned int *x);
-static __inline__ int __eiiszero(const short unsigned int *x);
-static __inline__ void __enan_64(short unsigned int *nan);
-static __inline__ void __enan_NBITS (short unsigned int *nan);
-static __inline__ void __enan_NI16 (short unsigned int *nan);
-static __inline__ void __einfin(register short unsigned int *x);
-static __inline__ void __eneg(short unsigned int *x);
-static __inline__ void __eshup1(register short unsigned int *x);
-static __inline__ void __eshup8(register short unsigned int *x);
-static __inline__ void __eshup6(register short unsigned int *x);
-static __inline__ void __eshdn1(register short unsigned int *x);
-static __inline__ void __eshdn8(register short unsigned int *x);
-static __inline__ void __eshdn6(register short unsigned int *x);
-
-
-
-/* Intel IEEE, low order words come first:
- */
-#define IBMPC 1
-
-/* Define 1 for ANSI C atan2() function
- * See atan.c and clog.c.
- */
-#define ANSIC 1
-
-/*define VOLATILE volatile*/
-#define VOLATILE
-
-/* For 12-byte long doubles on an i386, pad a 16-bit short 0
- * to the end of real constants initialized by integer arrays.
- *
- * #define XPD 0,
- *
- * Otherwise, the type is 10 bytes long and XPD should be
- * defined blank.
- *
- * #define XPD
- */
-#define XPD 0,
-/* #define XPD */
-#define NANS
-
-/* NaN's require infinity support. */
-#ifdef NANS
-#ifndef INFINITY
-#define INFINITY
-#endif
-#endif
-
-/* This handles 64-bit long ints. */
-#define LONGBITS (8 * sizeof(long))
-
-
-#define NTEN 12
-#define MAXP 4096
-
-/*
-; Clear out entire external format number.
-;
-; unsigned short x[];
-; eclear( x );
-*/
-
-static __inline__ void __eclear(register short unsigned int *x)
-{
- memset(x, 0, NE * sizeof(unsigned short));
-}
-
-
-/* Move external format number from a to b.
- *
- * emov( a, b );
- */
-
-static __inline__ void __emov(register const short unsigned int * __restrict__ a,
- register short unsigned int * __restrict__ b)
-{
- memcpy(b, a, NE * sizeof(unsigned short));
-}
-
-
-/*
-; Negate external format number
-;
-; unsigned short x[NE];
-; eneg( x );
-*/
-
-static __inline__ void __eneg(short unsigned int *x)
-{
-
-#ifdef NANS
-if( __eisnan(x) )
- return;
-#endif
-x[NE-1] ^= 0x8000; /* Toggle the sign bit */
-}
-
-
-/* Return 1 if external format number is negative,
- * else return zero.
- */
-static __inline__ int __eisneg(const short unsigned int *x)
-{
-
-#ifdef NANS
-if( __eisnan(x) )
- return( 0 );
-#endif
-if( x[NE-1] & 0x8000 )
- return( 1 );
-else
- return( 0 );
-}
-
-
-/* Return 1 if external format number has maximum possible exponent,
- * else return zero.
- */
-static __inline__ int __eisinf(const short unsigned int *x)
-{
-
-if( (x[NE-1] & 0x7fff) == 0x7fff )
- {
-#ifdef NANS
- if( __eisnan(x) )
- return( 0 );
-#endif
- return( 1 );
- }
-else
- return( 0 );
-}
-
-/* Check if e-type number is not a number.
- */
-static __inline__ int __eisnan(const short unsigned int *x)
-{
-#ifdef NANS
-int i;
-/* NaN has maximum __exponent */
-if( (x[NE-1] & 0x7fff) == 0x7fff )
-/* ... and non-zero significand field. */
- for( i=0; i<NE-1; i++ )
- {
- if( *x++ != 0 )
- return (1);
- }
-#endif
-return (0);
-}
-
-/*
-; Fill __entire number, including __exponent and significand, with
-; largest possible number. These programs implement a saturation
-; value that is an ordinary, legal number. A special value
-; "infinity" may also be implemented; this would require tests
-; for that value and implementation of special rules for arithmetic
-; operations involving inifinity.
-*/
-
-static __inline__ void __einfin(register short unsigned int *x)
-{
-register int i;
-
-#ifdef INFINITY
-for( i=0; i<NE-1; i++ )
- *x++ = 0;
-*x |= 32767;
-#else
-for( i=0; i<NE-1; i++ )
- *x++ = 0xffff;
-*x |= 32766;
-*(x-5) = 0;
-#endif
-}
-
-/* Clear out internal format number.
- */
-
-static __inline__ void __ecleaz(register short unsigned int *xi)
-{
- memset(xi, 0, NI * sizeof(unsigned short));
-}
-
-/* same, but don't touch the sign. */
-
-static __inline__ void __ecleazs(register short unsigned int *xi)
-{
- ++xi;
- memset(xi, 0, (NI-1) * sizeof(unsigned short));
-}
-
-
-
-/* Move internal format number from a to b.
- */
-static __inline__ void __emovz(register const short unsigned int * __restrict__ a,
- register short unsigned int * __restrict__ b)
-{
- memcpy(b, a, (NI-1) * sizeof(unsigned short));
- b[NI-1]=0;
-}
-
-/* Return nonzero if internal format number is a NaN.
- */
-
-static __inline__ int __eiisnan (const short unsigned int *x)
-{
-int i;
-
-if( (x[E] & 0x7fff) == 0x7fff )
- {
- for( i=M+1; i<NI; i++ )
- {
- if( x[i] != 0 )
- return(1);
- }
- }
-return(0);
-}
-
-/* Return nonzero if external format number is zero. */
-
-static __inline__ int
-__eiszero(const short unsigned int * a)
-{
-if (*((long double*) a) == 0)
- return (1);
-return (0);
-}
-
-/* Return nonzero if internal format number is zero. */
-
-static __inline__ int
-__eiiszero(const short unsigned int * ai)
-{
- int i;
- /* skip the sign word */
- for( i=1; i<NI-1; i++ )
- {
- if( ai[i] != 0 )
- return (0);
- }
- return (1);
-}
-
-
-/* Return nonzero if internal format number is infinite. */
-
-static __inline__ int
-__eiisinf (const unsigned short *x)
-{
-
-#ifdef NANS
- if (__eiisnan (x))
- return (0);
-#endif
- if ((x[E] & 0x7fff) == 0x7fff)
- return (1);
- return (0);
-}
-
-/*
-; Compare significands of numbers in internal format.
-; Guard words are included in the comparison.
-;
-; unsigned short a[NI], b[NI];
-; cmpm( a, b );
-;
-; for the significands:
-; returns +1 if a > b
-; 0 if a == b
-; -1 if a < b
-*/
-static __inline__ int __ecmpm(register const short unsigned int * __restrict__ a,
- register const short unsigned int * __restrict__ b)
-{
-int i;
-
-a += M; /* skip up to significand area */
-b += M;
-for( i=M; i<NI; i++ )
- {
- if( *a++ != *b++ )
- goto difrnt;
- }
-return(0);
-
-difrnt:
-if( *(--a) > *(--b) )
- return(1);
-else
- return(-1);
-}
-
-
-/*
-; Shift significand down by 1 bit
-*/
-
-static __inline__ void __eshdn1(register short unsigned int *x)
-{
-register unsigned short bits;
-int i;
-
-x += M; /* point to significand area */
-
-bits = 0;
-for( i=M; i<NI; i++ )
- {
- if( *x & 1 )
- bits |= 1;
- *x >>= 1;
- if( bits & 2 )
- *x |= 0x8000;
- bits <<= 1;
- ++x;
- }
-}
-
-/*
-; Shift significand up by 1 bit
-*/
-
-static __inline__ void __eshup1(register short unsigned int *x)
-{
-register unsigned short bits;
-int i;
-
-x += NI-1;
-bits = 0;
-
-for( i=M; i<NI; i++ )
- {
- if( *x & 0x8000 )
- bits |= 1;
- *x <<= 1;
- if( bits & 2 )
- *x |= 1;
- bits <<= 1;
- --x;
- }
-}
-
-
-
-/*
-; Shift significand down by 8 bits
-*/
-
-static __inline__ void __eshdn8(register short unsigned int *x)
-{
-register unsigned short newbyt, oldbyt;
-int i;
-
-x += M;
-oldbyt = 0;
-for( i=M; i<NI; i++ )
- {
- newbyt = *x << 8;
- *x >>= 8;
- *x |= oldbyt;
- oldbyt = newbyt;
- ++x;
- }
-}
-
-/*
-; Shift significand up by 8 bits
-*/
-
-static __inline__ void __eshup8(register short unsigned int *x)
-{
-int i;
-register unsigned short newbyt, oldbyt;
-
-x += NI-1;
-oldbyt = 0;
-
-for( i=M; i<NI; i++ )
- {
- newbyt = *x >> 8;
- *x <<= 8;
- *x |= oldbyt;
- oldbyt = newbyt;
- --x;
- }
-}
-
-/*
-; Shift significand up by 16 bits
-*/
-
-static __inline__ void __eshup6(register short unsigned int *x)
-{
-int i;
-register unsigned short *p;
-
-p = x + M;
-x += M + 1;
-
-for( i=M; i<NI-1; i++ )
- *p++ = *x++;
-
-*p = 0;
-}
-
-/*
-; Shift significand down by 16 bits
-*/
-
-static __inline__ void __eshdn6(register short unsigned int *x)
-{
-int i;
-register unsigned short *p;
-
-x += NI-1;
-p = x + 1;
-
-for( i=M; i<NI-1; i++ )
- *(--p) = *(--x);
-
-*(--p) = 0;
-}
-
-/*
-; Add significands
-; x + y replaces y
-*/
-
-static __inline__ void __enan_64(unsigned short* nan)
-{
-
- int i;
- for( i=0; i<3; i++ )
- *nan++ = 0;
- *nan++ = 0xc000;
- *nan++ = 0x7fff;
- *nan = 0;
- return;
-}
-
-static __inline__ void __enan_NBITS(unsigned short* nan)
-{
- int i;
- for( i=0; i<NE-2; i++ )
- *nan++ = 0;
- *nan++ = 0xc000;
- *nan = 0x7fff;
- return;
-}
-
-static __inline__ void __enan_NI16(unsigned short* nan)
-{
- int i;
- *nan++ = 0;
- *nan++ = 0x7fff;
- *nan++ = 0;
- *nan++ = 0xc000;
- for( i=4; i<NI; i++ )
- *nan++ = 0;
- return;
-}
-
-#endif /* _CEPHES_EMATH_H */
-
#include <stdlib.h>
static inline
-unsigned int get_cp_from_locale (void)
+unsigned int get_codepage (void)
{
char* cp_string;
/*
wchar_t* dst = pwc ? pwc : &byte_bucket;
return (size_t) __mbrtowc_cp (dst, s, n, ps ? ps : &internal_mbstate,
- get_cp_from_locale(), MB_CUR_MAX);
+ get_codepage(), MB_CUR_MAX);
}
size_t n = 0;
static mbstate_t internal_mbstate = 0;
mbstate_t* internal_ps = ps ? ps : &internal_mbstate;
- const unsigned int cp = get_cp_from_locale();;
+ const unsigned int cp = get_codepage();
const unsigned int mb_max = MB_CUR_MAX;
if ( src == NULL || *src == NULL ) /* undefined behavior */
static mbstate_t s_mbstate = 0;
wchar_t byte_bucket = 0;
return __mbrtowc_cp (&byte_bucket, s, n, (ps) ? ps : &s_mbstate,
- get_cp_from_locale(), MB_CUR_MAX);
+ get_codepage(), MB_CUR_MAX);
}
+++ /dev/null
-#include <stdlib.h>
-
-float strtof( const char *nptr, char **endptr)
-{
- return (strtod(nptr, endptr));
-}
+++ /dev/null
-/* This file is extracted from S L Moshier's ioldoubl.c,
- * modified for use in MinGW
- *
- * Extended precision arithmetic functions for long double I/O.
- * This program has been placed in the public domain.
- */
-
-
-
-/*
- * Revision history:
- *
- * 5 Jan 84 PDP-11 assembly language version
- * 6 Dec 86 C language version
- * 30 Aug 88 100 digit version, improved rounding
- * 15 May 92 80-bit long double support
- *
- * Author: S. L. Moshier.
- *
- * 6 Oct 02 Modified for MinGW by inlining utility routines,
- * removing global variables and splitting out strtold
- * from _IO_ldtoa and _IO_ldtostr.
- *
- * 4 Feb 04 Reorganize __asctoe64 to fix setting error codes,
- * and handling special chars.
- *
- * Danny Smith <dannysmith@users.sourceforge.net>
- */
-
-#include "math/cephes_emath.h"
-#if NE == 10
-
-/* 1.0E0 */
-static const unsigned short __eone[NE] =
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,};
-#else
-static const unsigned short __eone[NE] = {
-0, 0000000,0000000,0000000,0100000,0x3fff,};
-#endif
-
-#if NE == 10
-static const unsigned short __etens[NTEN + 1][NE] =
-{
- {0x6576, 0x4a92, 0x804a, 0x153f,
- 0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */
- {0x6a32, 0xce52, 0x329a, 0x28ce,
- 0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */
- {0x526c, 0x50ce, 0xf18b, 0x3d28,
- 0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,},
- {0x9c66, 0x58f8, 0xbc50, 0x5c54,
- 0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,},
- {0x851e, 0xeab7, 0x98fe, 0x901b,
- 0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,},
- {0x0235, 0x0137, 0x36b1, 0x336c,
- 0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,},
- {0x50f8, 0x25fb, 0xc76b, 0x6b71,
- 0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,},
- {0x0000, 0x0000, 0x0000, 0x0000,
- 0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */
-};
-#else
-static const unsigned short __etens[NTEN+1][NE] = {
-{0xc94c,0x979a,0x8a20,0x5202,0xc460,0x7525,},/* 10**4096 */
-{0xa74d,0x5de4,0xc53d,0x3b5d,0x9e8b,0x5a92,},/* 10**2048 */
-{0x650d,0x0c17,0x8175,0x7586,0xc976,0x4d48,},
-{0xcc65,0x91c6,0xa60e,0xa0ae,0xe319,0x46a3,},
-{0xddbc,0xde8d,0x9df9,0xebfb,0xaa7e,0x4351,},
-{0xc66f,0x8cdf,0x80e9,0x47c9,0x93ba,0x41a8,},
-{0x3cbf,0xa6d5,0xffcf,0x1f49,0xc278,0x40d3,},
-{0xf020,0xb59d,0x2b70,0xada8,0x9dc5,0x4069,},
-{0x0000,0x0000,0x0400,0xc9bf,0x8e1b,0x4034,},
-{0x0000,0x0000,0x0000,0x2000,0xbebc,0x4019,},
-{0x0000,0x0000,0x0000,0x0000,0x9c40,0x400c,},
-{0x0000,0x0000,0x0000,0x0000,0xc800,0x4005,},
-{0x0000,0x0000,0x0000,0x0000,0xa000,0x4002,}, /* 10**1 */
-};
-#endif
-
-int __asctoe64(const char * __restrict__ ss, short unsigned int * __restrict__ y)
-{
-unsigned short yy[NI], xt[NI], tt[NI];
-int esign, decflg, nexp, exp, lost;
-int k, c;
-int valid_lead_string = 0;
-int have_non_zero_mant = 0;
-int prec = 0;
-/* int trail = 0; */
-long lexp;
-unsigned short nsign = 0;
-const unsigned short *p;
-char *sp, *lstr;
-char *s;
-
-const char dec_sym = *(localeconv ()->decimal_point);
-
-int lenldstr = 0;
-
-/* Copy the input string. */
-c = strlen (ss) + 2;
-lstr = (char *) alloca (c);
-s = (char *) ss;
-while( isspace ((int)(unsigned char)*s)) /* skip leading spaces */
- {
- ++s;
- ++lenldstr;
- }
-sp = lstr;
-for( k=0; k<c; k++ )
- {
- if( (*sp++ = *s++) == '\0' )
- break;
- }
-*sp = '\0';
-s = lstr;
-
-if (*s == '-')
- {
- nsign = 0xffff;
- ++s;
- }
-else if (*s == '+')
- {
- ++s;
- }
-
-if (_strnicmp("INF", s , 3) == 0)
- {
- valid_lead_string = 1;
- s += 3;
- if ( _strnicmp ("INITY", s, 5) == 0)
- s += 5;
- __ecleaz(yy);
- yy[E] = 0x7fff; /* infinity */
- goto aexit;
- }
-else if(_strnicmp ("NAN", s, 3) == 0)
- {
- valid_lead_string = 1;
- s += 3;
- __enan_NI16( yy );
- goto aexit;
- }
-
-/* FIXME: Handle case of strtold ("NAN(n_char_seq)",endptr) */
-
-/* Now get some digits. */
-lost = 0;
-decflg = 0;
-nexp = 0;
-exp = 0;
-__ecleaz( yy );
-
-/* Ignore leading zeros */
-while (*s == '0')
- {
- valid_lead_string = 1;
- s++;
- }
-
-nxtcom:
-
-k = *s - '0';
-if( (k >= 0) && (k <= 9) )
- {
-#if 0
-/* The use of a special char as a flag for trailing zeroes causes problems when input
- actually contains the char */
-/* Identify and strip trailing zeros after the decimal point. */
- if( (trail == 0) && (decflg != 0) )
- {
- sp = s;
- while( (*sp >= '0') && (*sp <= '9') )
- ++sp;
- --sp;
- while( *sp == '0' )
- {
- *sp-- = (char)-1;
- trail++;
- }
- if( *s == (char)-1 )
- goto donchr;
- }
-#endif
-
-/* If enough digits were given to more than fill up the yy register,
- * continuing until overflow into the high guard word yy[2]
- * guarantees that there will be a roundoff bit at the top
- * of the low guard word after normalization.
- */
- if( yy[2] == 0 )
- {
- if( decflg )
- nexp += 1; /* count digits after decimal point */
- __eshup1( yy ); /* multiply current number by 10 */
- __emovz( yy, xt );
- __eshup1( xt );
- __eshup1( xt );
- __eaddm( xt, yy );
- __ecleaz( xt );
- xt[NI-2] = (unsigned short )k;
- __eaddm( xt, yy );
- }
- else
- {
- /* Mark any lost non-zero digit. */
- lost |= k;
- /* Count lost digits before the decimal point. */
- if (decflg == 0)
- nexp -= 1;
- }
- have_non_zero_mant |= k;
- prec ++;
- /* goto donchr; */
- }
-else if (*s == dec_sym)
- {
- if( decflg )
- goto daldone;
- ++decflg;
- }
-else if ((*s == 'E') || (*s == 'e') )
- {
- if (prec || valid_lead_string)
- goto expnt;
- else
- goto daldone;
- }
-
-#if 0
-else if (*s == (char)-1)
- goto donchr;
-#endif
-
-else /* an invalid char */
- goto daldone;
-
-/* donchr: */
-++s;
-goto nxtcom;
-
-
-/* Exponent interpretation */
-expnt:
-
-esign = 1;
-exp = 0;
-/* Save position in case we need to fall back. */
-sp = s;
-++s;
-/* check for + or - */
-if( *s == '-' )
- {
- esign = -1;
- ++s;
- }
-if( *s == '+' )
- ++s;
-
-/* Check for valid exponent. */
-if (!(*s >= '0' && *s <= '9'))
- {
- s = sp;
- goto daldone;
- }
-
-while( (*s >= '0') && (*s <= '9') )
-{
- /* Stop modifying exp if we are going to overflow anyway,
- but keep parsing the string. */
- if (exp < 4978)
- {
- exp *= 10;
- exp += *s - '0';
- }
- s++;
-}
-
-if( esign < 0 )
- exp = -exp;
-
-if (exp > 4977) /* maybe overflow */
- {
- __ecleaz(yy);
- if (have_non_zero_mant)
- yy[E] = 0x7fff;
- goto aexit;
- }
-else if (exp < -4977) /* underflow */
- {
- __ecleaz(yy);
- goto aexit;
- }
-
-daldone:
-
-nexp = exp - nexp;
-
-/* Pad trailing zeros to minimize power of 10, per IEEE spec. */
-while( (nexp > 0) && (yy[2] == 0) )
- {
- __emovz( yy, xt );
- __eshup1( xt );
- __eshup1( xt );
- __eaddm( yy, xt );
- __eshup1( xt );
- if( xt[2] != 0 )
- break;
- nexp -= 1;
- __emovz( xt, yy );
- }
-if( (k = __enormlz(yy)) > NBITS )
- {
- __ecleaz(yy);
- goto aexit;
- }
-lexp = (EXONE - 1 + NBITS) - k;
-__emdnorm( yy, lost, 0, lexp, 64, NBITS );
-/* convert to external format */
-
-
-/* Multiply by 10**nexp. If precision is 64 bits,
- * the maximum relative error incurred in forming 10**n
- * for 0 <= n <= 324 is 8.2e-20, at 10**180.
- * For 0 <= n <= 999, the peak relative error is 1.4e-19 at 10**947.
- * For 0 >= n >= -999, it is -1.55e-19 at 10**-435.
- */
-lexp = yy[E];
-if( nexp == 0 )
- {
- k = 0;
- goto expdon;
- }
-esign = 1;
-if( nexp < 0 )
- {
- nexp = -nexp;
- esign = -1;
- if( nexp > 4096 )
- { /* Punt. Can't handle this without 2 divides. */
- __emovi( __etens[0], tt );
- lexp -= tt[E];
- k = __edivm( tt, yy );
- lexp += EXONE;
- nexp -= 4096;
- }
- }
-p = &__etens[NTEN][0];
-__emov( __eone, xt );
-exp = 1;
-do
- {
- if( exp & nexp )
- __emul( p, xt, xt );
- p -= NE;
- exp = exp + exp;
- }
-while( exp <= MAXP );
-
-__emovi( xt, tt );
-if( esign < 0 )
- {
- lexp -= tt[E];
- k = __edivm( tt, yy );
- lexp += EXONE;
- }
-else
- {
- lexp += tt[E];
- k = __emulm( tt, yy );
- lexp -= EXONE - 1;
- }
-
-expdon:
-
-/* Round and convert directly to the destination type */
-
-__emdnorm( yy, k, 0, lexp, 64, 64 );
-
-aexit:
-
-yy[0] = nsign;
-
-__toe64( yy, y );
-
-/* Check for overflow, undeflow */
-if (have_non_zero_mant &&
- (*((long double*) y) == 0.0L || isinf (*((long double*) y))))
- errno = ERANGE;
-
-if (prec || valid_lead_string)
- return (lenldstr + (s - lstr));
-return 0;
-}
-
-
-long double strtold (const char * __restrict__ s, char ** __restrict__ se)
-{
- int lenldstr;
- union
- {
- unsigned short int us[6];
- long double ld;
- } xx = {{0}};
-
- lenldstr = __asctoe64( s, xx.us);
- if (se)
- *se = (char*)s + lenldstr;
-
- return xx.ld;
-}
{
char byte_bucket [MB_LEN_MAX];
char* tmp_dst = dst ? dst : byte_bucket;
- return (size_t)__wcrtomb_cp (tmp_dst, wc, get_cp_from_locale (),
+ return (size_t)__wcrtomb_cp (tmp_dst, wc, get_codepage (),
MB_CUR_MAX);
}
{
int ret = 0;
size_t n = 0;
- const unsigned int cp = get_cp_from_locale();
+ const unsigned int cp = get_codepage();
const unsigned int mb_max = MB_CUR_MAX;
const wchar_t *pwc = *src;
+/* Wide char wrapper for strtof
+ * Revision history:
+ * 25 Aug 2006 Initial version.
+ *
+ * Contributor: Danny Smith <dannysmith@users.sourceforege.net>
+ */
+
+ /* This routine has been placed in the public domain.*/
+
+#define WIN32_LEAN_AND_MEAN
+#include <windows.h>
+#include <locale.h>
#include <wchar.h>
+#include <stdlib.h>
+#include <string.h>
+#include <mbstring.h>
-float wcstof( const wchar_t *nptr, wchar_t **endptr)
+#include "mb_wc_common.h"
+
+float wcstof (const wchar_t * __restrict__ wcs, wchar_t ** __restrict__ wcse)
{
- return (wcstod(nptr, endptr));
+ char * cs;
+ char * cse;
+ unsigned int i;
+ float ret;
+ const unsigned int cp = get_codepage ();
+
+ /* Allocate enough room for (possibly) mb chars */
+ cs = (char *) malloc ((wcslen(wcs)+1) * MB_CUR_MAX);
+
+ if (cp == 0) /* C locale */
+ {
+ for (i = 0; (wcs[i] != 0) && wcs[i] <= 255; i++)
+ cs[i] = (char) wcs[i];
+ cs[i] = '\0';
+ }
+ else
+ {
+ int nbytes = -1;
+ int mb_len = 0;
+ /* loop through till we hit null or invalid character */
+ for (i = 0; (wcs[i] != 0) && (nbytes != 0); i++)
+ {
+ nbytes = WideCharToMultiByte(cp, WC_COMPOSITECHECK | WC_SEPCHARS,
+ wcs + i, 1, cs + mb_len, MB_CUR_MAX,
+ NULL, NULL);
+ mb_len += nbytes;
+ }
+ cs[mb_len] = '\0';
+ }
+
+ ret = strtof (cs, &cse);
+
+ if (wcse)
+ {
+ /* Make sure temp mbstring cs has 0 at cse. */
+ *cse = '\0';
+ i = _mbslen ((unsigned char*) cs); /* Number of chars, not bytes */
+ *wcse = (wchar_t *) wcs + i;
+ }
+ free (cs);
+
+ return ret;
}
/* Wide char wrapper for strtold
* Revision history:
* 6 Nov 2002 Initial version.
+ * 25 Aug 2006 Don't use strtold internal functions.
*
* Contributor: Danny Smith <dannysmith@users.sourceforege.net>
*/
#include <wchar.h>
#include <stdlib.h>
#include <string.h>
+#include <mbstring.h>
-extern int __asctoe64(const char * __restrict__ ss,
- short unsigned int * __restrict__ y);
-
-
-static __inline__ unsigned int get_codepage (void)
-{
- char* cp;
-
- /*
- locale :: "lang[_country[.code_page]]"
- | ".code_page"
- */
- if ((cp = strchr(setlocale(LC_CTYPE, NULL), '.')))
- return atoi( cp + 1);
- else
- return 0;
-}
+#include "mb_wc_common.h"
long double wcstold (const wchar_t * __restrict__ wcs, wchar_t ** __restrict__ wcse)
{
char * cs;
- int i;
- int lenldstr;
- union
- {
- unsigned short int us[6];
- long double ld;
- } xx;
-
- unsigned int cp = get_codepage ();
+ char * cse;
+ unsigned int i;
+ long double ret;
+ const unsigned int cp = get_codepage ();
/* Allocate enough room for (possibly) mb chars */
cs = (char *) malloc ((wcslen(wcs)+1) * MB_CUR_MAX);
}
cs[mb_len] = '\0';
}
- lenldstr = __asctoe64( cs, xx.us);
- free (cs);
+
+ ret = strtold (cs, &cse);
+
if (wcse)
- *wcse = (wchar_t*) wcs + lenldstr;
- return xx.ld;
+ {
+ /* Make sure temp mbstring has 0 at cse. */
+ *cse = '\0';
+ i = _mbslen ((unsigned char*) cs); /* Number of chars, not bytes */
+ *wcse = (wchar_t *) wcs + i;
+ }
+ free (cs);
+
+ return ret;
}
wchar_t w = wc;
char c;
int invalid_char = 0;
- if (!WideCharToMultiByte (get_cp_from_locale(),
+ if (!WideCharToMultiByte (get_codepage(),
0 /* Is this correct flag? */,
&w, 1, &c, 1, NULL, &invalid_char)
|| invalid_char)
#define _UNICODE 1
#define UNICODE 1
+
+#include <wchar.h>
#include "dirent.c"
git://sourceware.org / newlib-cygwin.git / commitdiff