forked from enlightenment/efl
* configure.ac:
* src/lib/Makefile.am: * src/lib/evil_pformata.c: * src/lib/evil_printa.c: * src/lib/gdtoa (added): * src/lib/gdtoa/gdtoa.c (added): * src/lib/gdtoa/dmisc.c (added): * src/lib/gdtoa/gdtoa_fltrnds.h (added): * src/lib/gdtoa/ulp.c (added): * src/lib/gdtoa/g_dfmt.c (added): * src/lib/gdtoa/gmisc.c (added): * src/lib/gdtoa/g_ffmt.c (added): * src/lib/gdtoa/gdtoa.h (added): * src/lib/gdtoa/sum.c (added): * src/lib/gdtoa/gdtoaimp.h (added): * src/lib/gdtoa/README (added): * src/lib/gdtoa/gd_qnan.h (added): * src/lib/gdtoa/hd_init.c (added): * src/lib/gdtoa/smisc.c (added): * src/lib/gdtoa/strtof.c (added): * src/lib/gdtoa/hexnan.c (added): * src/lib/gdtoa/strtopx.c (added): * src/lib/gdtoa/gethex.c (added): * src/lib/gdtoa/g_xfmt.c (added): * src/lib/gdtoa/gd_arith.h (added): * src/lib/gdtoa/strtodg.c (added): * src/lib/gdtoa/dtoa.c (added): * src/lib/gdtoa/Makefile.am (added): * src/lib/gdtoa/misc.c (added): * src/lib/gdtoa/g__fmt.c (added): * src/lib/gdtoa/README.mingw (added): * src/lib/gdtoa/qnan.c (added): * src/lib/gdtoa/arithchk.c (added): Define some missing functions, so that Evil also compile with MinGW, vc++ and later with Cedric compatibility layer * src/lib/evil_util.c: Include limits.h for ULONG_MAX definition SVN revision: 68304
This commit is contained in:
parent
c29416e0d8
commit
0a42091076
|
@ -1,3 +1,45 @@
|
||||||
|
2012-02-23 Vincent Torri <doursse at users dot sf dot net>
|
||||||
|
|
||||||
|
* configure.ac:
|
||||||
|
* src/lib/Makefile.am:
|
||||||
|
* src/lib/evil_pformata.c:
|
||||||
|
* src/lib/evil_printa.c:
|
||||||
|
* src/lib/gdtoa (added):
|
||||||
|
* src/lib/gdtoa/gdtoa.c (added):
|
||||||
|
* src/lib/gdtoa/dmisc.c (added):
|
||||||
|
* src/lib/gdtoa/gdtoa_fltrnds.h (added):
|
||||||
|
* src/lib/gdtoa/ulp.c (added):
|
||||||
|
* src/lib/gdtoa/g_dfmt.c (added):
|
||||||
|
* src/lib/gdtoa/gmisc.c (added):
|
||||||
|
* src/lib/gdtoa/g_ffmt.c (added):
|
||||||
|
* src/lib/gdtoa/gdtoa.h (added):
|
||||||
|
* src/lib/gdtoa/sum.c (added):
|
||||||
|
* src/lib/gdtoa/gdtoaimp.h (added):
|
||||||
|
* src/lib/gdtoa/README (added):
|
||||||
|
* src/lib/gdtoa/gd_qnan.h (added):
|
||||||
|
* src/lib/gdtoa/hd_init.c (added):
|
||||||
|
* src/lib/gdtoa/smisc.c (added):
|
||||||
|
* src/lib/gdtoa/strtof.c (added):
|
||||||
|
* src/lib/gdtoa/hexnan.c (added):
|
||||||
|
* src/lib/gdtoa/strtopx.c (added):
|
||||||
|
* src/lib/gdtoa/gethex.c (added):
|
||||||
|
* src/lib/gdtoa/g_xfmt.c (added):
|
||||||
|
* src/lib/gdtoa/gd_arith.h (added):
|
||||||
|
* src/lib/gdtoa/strtodg.c (added):
|
||||||
|
* src/lib/gdtoa/dtoa.c (added):
|
||||||
|
* src/lib/gdtoa/Makefile.am (added):
|
||||||
|
* src/lib/gdtoa/misc.c (added):
|
||||||
|
* src/lib/gdtoa/g__fmt.c (added):
|
||||||
|
* src/lib/gdtoa/README.mingw (added):
|
||||||
|
* src/lib/gdtoa/qnan.c (added):
|
||||||
|
* src/lib/gdtoa/arithchk.c (added):
|
||||||
|
Define some missing functions, so that Evil also
|
||||||
|
compile with MinGW, vc++ and later with Cedric
|
||||||
|
compatibility layer
|
||||||
|
|
||||||
|
* src/lib/evil_util.c:
|
||||||
|
Include limits.h for ULONG_MAX definition
|
||||||
|
|
||||||
2012-02-21 Vincent Torri <doursse at users dot sf dot net>
|
2012-02-21 Vincent Torri <doursse at users dot sf dot net>
|
||||||
|
|
||||||
* src/bin/evil_test_gettimeofday.c:
|
* src/bin/evil_test_gettimeofday.c:
|
||||||
|
|
|
@ -139,6 +139,7 @@ src/Makefile
|
||||||
src/bin/Makefile
|
src/bin/Makefile
|
||||||
src/lib/Makefile
|
src/lib/Makefile
|
||||||
src/lib/dlfcn/Makefile
|
src/lib/dlfcn/Makefile
|
||||||
|
src/lib/gdtoa/Makefile
|
||||||
])
|
])
|
||||||
|
|
||||||
AC_OUTPUT
|
AC_OUTPUT
|
||||||
|
|
|
@ -1,7 +1,7 @@
|
||||||
|
|
||||||
MAINTAINERCLEANFILES = Makefile.in
|
MAINTAINERCLEANFILES = Makefile.in
|
||||||
|
|
||||||
SUBDIRS = . dlfcn
|
SUBDIRS = gdtoa . dlfcn
|
||||||
|
|
||||||
lib_LTLIBRARIES = libevil.la
|
lib_LTLIBRARIES = libevil.la
|
||||||
|
|
||||||
|
@ -71,7 +71,7 @@ endif
|
||||||
libevil_la_CPPFLAGS = @win32_cppflags@
|
libevil_la_CPPFLAGS = @win32_cppflags@
|
||||||
libevil_la_CFLAGS = @win32_cflags@
|
libevil_la_CFLAGS = @win32_cflags@
|
||||||
libevil_la_CXXFLAGS = @win32_cxxflags@
|
libevil_la_CXXFLAGS = @win32_cxxflags@
|
||||||
libevil_la_LIBADD = @win32_libs@ $(EFL_MPATROL_LIBS)
|
libevil_la_LIBADD = gdtoa/libgdtoa.la @win32_libs@ $(EFL_MPATROL_LIBS)
|
||||||
libevil_la_LDFLAGS = -no-undefined -Wl,--enable-auto-import -version-info @version_info@
|
libevil_la_LDFLAGS = -no-undefined -Wl,--enable-auto-import -version-info @version_info@
|
||||||
|
|
||||||
if EVIL_HAVE_WINCE
|
if EVIL_HAVE_WINCE
|
||||||
|
|
|
@ -82,6 +82,7 @@
|
||||||
#endif /* !defined _VALUES_H -- end of file */
|
#endif /* !defined _VALUES_H -- end of file */
|
||||||
|
|
||||||
#include "evil_pformat.h"
|
#include "evil_pformat.h"
|
||||||
|
#include "gdtoa/gdtoa.h"
|
||||||
|
|
||||||
/* Bit-map constants, defining the internal format control
|
/* Bit-map constants, defining the internal format control
|
||||||
* states, which propagate through the flags.
|
* states, which propagate through the flags.
|
||||||
|
@ -761,52 +762,6 @@ typedef union
|
||||||
unsigned long __pformat_fpreg_bits;
|
unsigned long __pformat_fpreg_bits;
|
||||||
} __pformat_fpreg_t;
|
} __pformat_fpreg_t;
|
||||||
|
|
||||||
/* gdtoa.h relevant declarations */
|
|
||||||
|
|
||||||
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, /* does not affect STRTOG_Inexlo or STRTOG_Inexhi */
|
|
||||||
STRTOG_Inexlo = 0x10, /* returned result rounded toward zero */
|
|
||||||
STRTOG_Inexhi = 0x20, /* returned result rounded away from zero */
|
|
||||||
STRTOG_Inexact = 0x30,
|
|
||||||
STRTOG_Underflow= 0x40,
|
|
||||||
STRTOG_Overflow = 0x80
|
|
||||||
};
|
|
||||||
|
|
||||||
typedef struct
|
|
||||||
FPI {
|
|
||||||
int nbits;
|
|
||||||
int emin;
|
|
||||||
int emax;
|
|
||||||
int rounding;
|
|
||||||
int sudden_underflow;
|
|
||||||
int int_max;
|
|
||||||
} 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
|
|
||||||
};
|
|
||||||
|
|
||||||
extern char* __gdtoa (FPI *fpi, int be, unsigned long *bits, int *kindp,
|
|
||||||
int mode, int ndigits, int *decpt, char **rve);
|
|
||||||
extern void __freedtoa (char *);
|
|
||||||
|
|
||||||
|
|
||||||
/* end of gdtoa.h relevant declarations */
|
|
||||||
|
|
||||||
|
|
||||||
static
|
static
|
||||||
char *__pformat_cvt( int mode, __pformat_fpreg_t x, int nd, int *dp, int *sign )
|
char *__pformat_cvt( int mode, __pformat_fpreg_t x, int nd, int *dp, int *sign )
|
||||||
|
|
|
@ -18,6 +18,7 @@
|
||||||
|
|
||||||
#include "evil_pformat.h"
|
#include "evil_pformat.h"
|
||||||
#include "evil_print.h"
|
#include "evil_print.h"
|
||||||
|
#include "gdtoa/gdtoa.h"
|
||||||
|
|
||||||
|
|
||||||
/*============================================================================*
|
/*============================================================================*
|
||||||
|
@ -1296,20 +1297,20 @@ _evil_sformat (_IFP *s, const char *format, va_list argp)
|
||||||
if ((flags & IS_LL) != 0)
|
if ((flags & IS_LL) != 0)
|
||||||
{
|
{
|
||||||
long double ld;
|
long double ld;
|
||||||
ld = __mingw_strtold (wbuf, &tmp_wbuf_ptr/*, flags & USE_GROUP*/);
|
ld = __evil_strtold (wbuf, &tmp_wbuf_ptr/*, flags & USE_GROUP*/);
|
||||||
if ((flags & IS_SUPPRESSED) == 0 && tmp_wbuf_ptr != wbuf)
|
if ((flags & IS_SUPPRESSED) == 0 && tmp_wbuf_ptr != wbuf)
|
||||||
*(npos != 0 ? (long double *) get_va_nth (argp, npos) : va_arg (arg, long double *)) = is_neg ? -ld : ld;
|
*(npos != 0 ? (long double *) get_va_nth (argp, npos) : va_arg (arg, long double *)) = is_neg ? -ld : ld;
|
||||||
}
|
}
|
||||||
else if ((flags & IS_L) != 0)
|
else if ((flags & IS_L) != 0)
|
||||||
{
|
{
|
||||||
double d;
|
double d;
|
||||||
d = (double) __mingw_strtold (wbuf, &tmp_wbuf_ptr/*, flags & USE_GROUP*/);
|
d = (double) __evil_strtold (wbuf, &tmp_wbuf_ptr/*, flags & USE_GROUP*/);
|
||||||
if ((flags & IS_SUPPRESSED) == 0 && tmp_wbuf_ptr != wbuf)
|
if ((flags & IS_SUPPRESSED) == 0 && tmp_wbuf_ptr != wbuf)
|
||||||
*(npos != 0 ? (double *) get_va_nth (argp, npos) : va_arg (arg, double *)) = is_neg ? -d : d;
|
*(npos != 0 ? (double *) get_va_nth (argp, npos) : va_arg (arg, double *)) = is_neg ? -d : d;
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
float d = __mingw_strtof (wbuf, &tmp_wbuf_ptr/*, flags & USE_GROUP*/);
|
float d = __evil_strtof (wbuf, &tmp_wbuf_ptr/*, flags & USE_GROUP*/);
|
||||||
if ((flags & IS_SUPPRESSED) == 0 && tmp_wbuf_ptr != wbuf)
|
if ((flags & IS_SUPPRESSED) == 0 && tmp_wbuf_ptr != wbuf)
|
||||||
*(npos != 0 ? (float *) get_va_nth (argp, npos) : va_arg (arg, float *)) = is_neg ? -d : d;
|
*(npos != 0 ? (float *) get_va_nth (argp, npos) : va_arg (arg, float *)) = is_neg ? -d : d;
|
||||||
}
|
}
|
||||||
|
|
|
@ -5,6 +5,7 @@
|
||||||
#include <stdlib.h>
|
#include <stdlib.h>
|
||||||
#include <stdio.h>
|
#include <stdio.h>
|
||||||
#include <string.h>
|
#include <string.h>
|
||||||
|
#include <limits.h>
|
||||||
#include <wchar.h>
|
#include <wchar.h>
|
||||||
|
|
||||||
#ifndef WIN32_LEAN_AND_MEAN
|
#ifndef WIN32_LEAN_AND_MEAN
|
||||||
|
|
|
@ -0,0 +1,35 @@
|
||||||
|
|
||||||
|
MAINTAINERCLEANFILES = Makefile.in
|
||||||
|
|
||||||
|
noinst_LTLIBRARIES = libgdtoa.la
|
||||||
|
|
||||||
|
libgdtoa_la_SOURCES = \
|
||||||
|
arithchk.c \
|
||||||
|
dmisc.c \
|
||||||
|
dtoa.c \
|
||||||
|
gd_arith.h \
|
||||||
|
g_dfmt.c \
|
||||||
|
gd_qnan.h \
|
||||||
|
gdtoa.c \
|
||||||
|
gdtoa_fltrnds.h \
|
||||||
|
gdtoa.h \
|
||||||
|
gdtoaimp.h \
|
||||||
|
gethex.c \
|
||||||
|
g_ffmt.c \
|
||||||
|
g__fmt.c \
|
||||||
|
gmisc.c \
|
||||||
|
g_xfmt.c \
|
||||||
|
hd_init.c \
|
||||||
|
hexnan.c \
|
||||||
|
misc.c \
|
||||||
|
qnan.c \
|
||||||
|
smisc.c \
|
||||||
|
strtodg.c \
|
||||||
|
strtof.c \
|
||||||
|
strtopx.c \
|
||||||
|
sum.c \
|
||||||
|
ulp.c
|
||||||
|
|
||||||
|
libgdtoa_la_LDFLAGS = -no-undefined -Wl,--enable-auto-import
|
||||||
|
|
||||||
|
EXTRA_DIST = README README.mingw
|
|
@ -0,0 +1,357 @@
|
||||||
|
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 (or the current rounding
|
||||||
|
mode on IEEE-arithmetic systems that provide the C99 fegetround()
|
||||||
|
function, if compiled with -DHonor_FLT_ROUNDS):
|
||||||
|
|
||||||
|
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).
|
||||||
|
On IEEE-arithmetic systems that provide the C99 fegetround() function,
|
||||||
|
if compiled with -DHonor_FLT_ROUNDS, these routines honor the current
|
||||||
|
rounding mode.
|
||||||
|
|
||||||
|
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 '.'.
|
||||||
|
|
||||||
|
Source files dtoa.c and strtod.c in this directory are derived from
|
||||||
|
netlib's "dtoa.c from fp" and are meant to function equivalently.
|
||||||
|
When compiled with Honor_FLT_ROUNDS #defined (on systems that provide
|
||||||
|
FLT_ROUNDS and fegetround() as specified in the C99 standard), they
|
||||||
|
honor the current rounding mode. Because FLT_ROUNDS is buggy on some
|
||||||
|
(Linux) systems -- not reflecting calls on fesetround(), as the C99
|
||||||
|
standard says it should -- when Honor_FLT_ROUNDS is #defined, the
|
||||||
|
current rounding mode is obtained from fegetround() rather than from
|
||||||
|
FLT_ROUNDS, unless Trust_FLT_ROUNDS is also #defined.
|
||||||
|
|
||||||
|
Compile with -DUSE_LOCALE to use the current locale; otherwise
|
||||||
|
decimal points are assumed to be '.'. With -DUSE_LOCALE, unless
|
||||||
|
you also compile with -DNO_LOCALE_CACHE, the details about the
|
||||||
|
current "decimal point" character string are cached and assumed not
|
||||||
|
to change during the program's execution.
|
||||||
|
|
||||||
|
Please send comments to David M. Gay (dmg at acm dot org, with " at "
|
||||||
|
changed at "@" and " dot " changed to ".").
|
|
@ -0,0 +1,20 @@
|
||||||
|
The gdtoa code here is based on David M. Gay's original
|
||||||
|
gdtoa source at http://www.netlib.org/fp/ from Sep. 27,
|
||||||
|
2010. The major changes between the original source and
|
||||||
|
the mingw port here include:
|
||||||
|
|
||||||
|
* IBM, CRAY and VAX code removed.
|
||||||
|
* KR_headers, ANSI, Void and Char ifdefs are removed.
|
||||||
|
* gdtoa symbols are prepended with "__".
|
||||||
|
* g_xfmt() uses __fpclassifyl() instead of interpreting
|
||||||
|
the flags bit-wise.
|
||||||
|
* lo0bits() and hi0bits() of misc.c replaced by wrappers
|
||||||
|
to gcc's __builtin_clz()
|
||||||
|
* The double/ulong union renamed from U to dbl_union
|
||||||
|
(grep'ped better..)
|
||||||
|
* A few compiler warning fixes here and there.
|
||||||
|
* A few other insignificant changes (if any..)
|
||||||
|
|
||||||
|
MinGW specific compile-time definitions are at the top of
|
||||||
|
gdtoaimp.h and gdtoa.h headers.
|
||||||
|
|
|
@ -0,0 +1,186 @@
|
||||||
|
/****************************************************************
|
||||||
|
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. */
|
||||||
|
#ifdef MINGW_BUILD_GEN
|
||||||
|
|
||||||
|
#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;
|
||||||
|
}
|
||||||
|
#endif /* MINGW_BUILD_GEN */
|
||||||
|
|
|
@ -0,0 +1,196 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
The author of this software is David M. Gay.
|
||||||
|
|
||||||
|
Copyright (C) 1998 by Lucent Technologies
|
||||||
|
All Rights Reserved
|
||||||
|
|
||||||
|
Permission to use, copy, modify, and distribute this software and
|
||||||
|
its documentation for any purpose and without fee is hereby
|
||||||
|
granted, provided that the above copyright notice appear in all
|
||||||
|
copies and that both that the copyright notice and this
|
||||||
|
permission notice and warranty disclaimer appear in supporting
|
||||||
|
documentation, and that the name of Lucent or any of its entities
|
||||||
|
not be used in advertising or publicity pertaining to
|
||||||
|
distribution of the software without specific, written prior
|
||||||
|
permission.
|
||||||
|
|
||||||
|
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
|
||||||
|
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
|
||||||
|
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
|
||||||
|
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
||||||
|
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
|
||||||
|
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
|
||||||
|
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
|
||||||
|
THIS SOFTWARE.
|
||||||
|
|
||||||
|
****************************************************************/
|
||||||
|
|
||||||
|
/* Please send bug reports to David M. Gay (dmg at acm dot org,
|
||||||
|
* with " at " changed at "@" and " dot " changed to "."). */
|
||||||
|
|
||||||
|
#include "gdtoaimp.h"
|
||||||
|
|
||||||
|
#ifndef MULTIPLE_THREADS
|
||||||
|
char *dtoa_result;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
char *rv_alloc (int i)
|
||||||
|
{
|
||||||
|
int j, k, *r;
|
||||||
|
|
||||||
|
j = sizeof(ULong);
|
||||||
|
for(k = 0;
|
||||||
|
(int) (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 *nrv_alloc (char *s, char **rve, int n)
|
||||||
|
{
|
||||||
|
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 __freedtoa (char *s)
|
||||||
|
{
|
||||||
|
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 (Bigint *b, Bigint *S)
|
||||||
|
{
|
||||||
|
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;
|
||||||
|
}
|
|
@ -0,0 +1,750 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
The author of this software is David M. Gay.
|
||||||
|
|
||||||
|
Copyright (C) 1998, 1999 by Lucent Technologies
|
||||||
|
All Rights Reserved
|
||||||
|
|
||||||
|
Permission to use, copy, modify, and distribute this software and
|
||||||
|
its documentation for any purpose and without fee is hereby
|
||||||
|
granted, provided that the above copyright notice appear in all
|
||||||
|
copies and that both that the copyright notice and this
|
||||||
|
permission notice and warranty disclaimer appear in supporting
|
||||||
|
documentation, and that the name of Lucent or any of its entities
|
||||||
|
not be used in advertising or publicity pertaining to
|
||||||
|
distribution of the software without specific, written prior
|
||||||
|
permission.
|
||||||
|
|
||||||
|
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
|
||||||
|
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
|
||||||
|
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
|
||||||
|
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
||||||
|
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
|
||||||
|
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
|
||||||
|
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
|
||||||
|
THIS SOFTWARE.
|
||||||
|
|
||||||
|
****************************************************************/
|
||||||
|
|
||||||
|
/* Please send bug reports to David M. Gay (dmg at acm dot org,
|
||||||
|
* with " at " changed at "@" and " dot " changed to "."). */
|
||||||
|
|
||||||
|
#include "gdtoaimp.h"
|
||||||
|
|
||||||
|
/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
|
||||||
|
*
|
||||||
|
* Inspired by "How to Print Floating-Point Numbers Accurately" by
|
||||||
|
* Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
|
||||||
|
*
|
||||||
|
* Modifications:
|
||||||
|
* 1. Rather than iterating, we use a simple numeric overestimate
|
||||||
|
* to determine k = floor(log10(d)). We scale relevant
|
||||||
|
* quantities using O(log2(k)) rather than O(k) multiplications.
|
||||||
|
* 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
|
||||||
|
* try to generate digits strictly left to right. Instead, we
|
||||||
|
* compute with fewer bits and propagate the carry if necessary
|
||||||
|
* when rounding the final digit up. This is often faster.
|
||||||
|
* 3. Under the assumption that input will be rounded nearest,
|
||||||
|
* mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
|
||||||
|
* That is, we allow equality in stopping tests when the
|
||||||
|
* round-nearest rule will give the same floating-point value
|
||||||
|
* as would satisfaction of the stopping test with strict
|
||||||
|
* inequality.
|
||||||
|
* 4. We remove common factors of powers of 2 from relevant
|
||||||
|
* quantities.
|
||||||
|
* 5. When converting floating-point integers less than 1e16,
|
||||||
|
* we use floating-point arithmetic rather than resorting
|
||||||
|
* to multiple-precision integers.
|
||||||
|
* 6. When asked to produce fewer than 15 digits, we first try
|
||||||
|
* to get by with floating-point arithmetic; we resort to
|
||||||
|
* multiple-precision integer arithmetic only if we cannot
|
||||||
|
* guarantee that the floating-point calculation has given
|
||||||
|
* the correctly rounded result. For k requested digits and
|
||||||
|
* "uniformly" distributed input, the probability is
|
||||||
|
* something like 10^(k-15) that we must resort to the Long
|
||||||
|
* calculation.
|
||||||
|
*/
|
||||||
|
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#undef Check_FLT_ROUNDS
|
||||||
|
#define Check_FLT_ROUNDS
|
||||||
|
#else
|
||||||
|
#define Rounding Flt_Rounds
|
||||||
|
#endif
|
||||||
|
|
||||||
|
char *__dtoa (double d0, int mode, int ndigits, int *decpt, int *sign, char **rve)
|
||||||
|
{
|
||||||
|
/* Arguments ndigits, decpt, sign are similar to those
|
||||||
|
of ecvt and fcvt; trailing zeros are suppressed from
|
||||||
|
the returned string. If not null, *rve is set to point
|
||||||
|
to the end of the return value. If d is +-Infinity or NaN,
|
||||||
|
then *decpt is set to 9999.
|
||||||
|
|
||||||
|
mode:
|
||||||
|
0 ==> shortest string that yields d when read in
|
||||||
|
and rounded to nearest.
|
||||||
|
1 ==> like 0, but with Steele & White stopping rule;
|
||||||
|
e.g. with IEEE P754 arithmetic , mode 0 gives
|
||||||
|
1e23 whereas mode 1 gives 9.999999999999999e22.
|
||||||
|
2 ==> max(1,ndigits) significant digits. This gives a
|
||||||
|
return value similar to that of ecvt, except
|
||||||
|
that trailing zeros are suppressed.
|
||||||
|
3 ==> through ndigits past the decimal point. This
|
||||||
|
gives a return value similar to that from fcvt,
|
||||||
|
except that trailing zeros are suppressed, and
|
||||||
|
ndigits can be negative.
|
||||||
|
4,5 ==> similar to 2 and 3, respectively, but (in
|
||||||
|
round-nearest mode) with the tests of mode 0 to
|
||||||
|
possibly return a shorter string that rounds to d.
|
||||||
|
With IEEE arithmetic and compilation with
|
||||||
|
-DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
|
||||||
|
as modes 2 and 3 when FLT_ROUNDS != 1.
|
||||||
|
6-9 ==> Debugging modes similar to mode - 4: don't try
|
||||||
|
fast floating-point estimate (if applicable).
|
||||||
|
|
||||||
|
Values of mode other than 0-9 are treated as mode 0.
|
||||||
|
|
||||||
|
Sufficient space is allocated to the return value
|
||||||
|
to hold the suppressed trailing zeros.
|
||||||
|
*/
|
||||||
|
|
||||||
|
int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
|
||||||
|
j, j2, 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;
|
||||||
|
union _dbl_union d, d2, eps;
|
||||||
|
double ds;
|
||||||
|
char *s, *s0;
|
||||||
|
#ifdef SET_INEXACT
|
||||||
|
int inexact, oldinexact;
|
||||||
|
#endif
|
||||||
|
#ifdef Honor_FLT_ROUNDS /*{*/
|
||||||
|
int Rounding;
|
||||||
|
#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
|
||||||
|
Rounding = Flt_Rounds;
|
||||||
|
#else /*}{*/
|
||||||
|
Rounding = 1;
|
||||||
|
switch(fegetround()) {
|
||||||
|
case FE_TOWARDZERO: Rounding = 0; break;
|
||||||
|
case FE_UPWARD: Rounding = 2; break;
|
||||||
|
case FE_DOWNWARD: Rounding = 3;
|
||||||
|
}
|
||||||
|
#endif /*}}*/
|
||||||
|
#endif /*}*/
|
||||||
|
|
||||||
|
#ifndef MULTIPLE_THREADS
|
||||||
|
if (dtoa_result) {
|
||||||
|
__freedtoa(dtoa_result);
|
||||||
|
dtoa_result = 0;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
d.d = d0;
|
||||||
|
if (word0(&d) & Sign_bit) {
|
||||||
|
/* set sign for everything, including 0's and NaNs */
|
||||||
|
*sign = 1;
|
||||||
|
word0(&d) &= ~Sign_bit; /* clear sign bit */
|
||||||
|
}
|
||||||
|
else
|
||||||
|
*sign = 0;
|
||||||
|
|
||||||
|
if ((word0(&d) & Exp_mask) == Exp_mask)
|
||||||
|
{
|
||||||
|
/* Infinity or NaN */
|
||||||
|
*decpt = 9999;
|
||||||
|
if (!word1(&d) && !(word0(&d) & 0xfffff))
|
||||||
|
return nrv_alloc("Infinity", rve, 8);
|
||||||
|
return nrv_alloc("NaN", rve, 3);
|
||||||
|
}
|
||||||
|
if (!dval(&d)) {
|
||||||
|
*decpt = 1;
|
||||||
|
return nrv_alloc("0", rve, 1);
|
||||||
|
}
|
||||||
|
|
||||||
|
#ifdef SET_INEXACT
|
||||||
|
try_quick = oldinexact = get_inexact();
|
||||||
|
inexact = 1;
|
||||||
|
#endif
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
if (Rounding >= 2) {
|
||||||
|
if (*sign)
|
||||||
|
Rounding = Rounding == 2 ? 0 : 2;
|
||||||
|
else
|
||||||
|
if (Rounding != 2)
|
||||||
|
Rounding = 0;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
|
||||||
|
b = d2b(dval(&d), &be, &bbits);
|
||||||
|
#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;
|
||||||
|
|
||||||
|
/* 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;
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
denorm = 0;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
/* d is denormalized */
|
||||||
|
|
||||||
|
i = bbits + be + (Bias + (P-1) - 1);
|
||||||
|
x = i > 32 ? word0(&d) << (64 - i) | word1(&d) >> (i - 32)
|
||||||
|
: word1(&d) << (32 - i);
|
||||||
|
dval(&d2) = x;
|
||||||
|
word0(&d2) -= 31*Exp_msk1; /* adjust exponent */
|
||||||
|
i -= (Bias + (P-1) - 1) + 1;
|
||||||
|
denorm = 1;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
ds = (dval(&d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
|
||||||
|
k = (int)ds;
|
||||||
|
if (ds < 0. && ds != k)
|
||||||
|
k--; /* want k = floor(ds) */
|
||||||
|
k_check = 1;
|
||||||
|
if (k >= 0 && k <= Ten_pmax) {
|
||||||
|
if (dval(&d) < tens[k])
|
||||||
|
k--;
|
||||||
|
k_check = 0;
|
||||||
|
}
|
||||||
|
j = bbits - i - 1;
|
||||||
|
if (j >= 0) {
|
||||||
|
b2 = 0;
|
||||||
|
s2 = j;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
b2 = -j;
|
||||||
|
s2 = 0;
|
||||||
|
}
|
||||||
|
if (k >= 0) {
|
||||||
|
b5 = 0;
|
||||||
|
s5 = k;
|
||||||
|
s2 += k;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
b2 -= k;
|
||||||
|
b5 = -k;
|
||||||
|
s5 = 0;
|
||||||
|
}
|
||||||
|
if (mode < 0 || mode > 9)
|
||||||
|
mode = 0;
|
||||||
|
|
||||||
|
#ifndef SET_INEXACT
|
||||||
|
#ifdef Check_FLT_ROUNDS
|
||||||
|
try_quick = Rounding == 1;
|
||||||
|
#else
|
||||||
|
try_quick = 1;
|
||||||
|
#endif
|
||||||
|
#endif /*SET_INEXACT*/
|
||||||
|
|
||||||
|
if (mode > 5) {
|
||||||
|
mode -= 4;
|
||||||
|
try_quick = 0;
|
||||||
|
}
|
||||||
|
leftright = 1;
|
||||||
|
ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */
|
||||||
|
/* silence erroneous "gcc -Wall" warning. */
|
||||||
|
switch(mode) {
|
||||||
|
case 0:
|
||||||
|
case 1:
|
||||||
|
i = 18;
|
||||||
|
ndigits = 0;
|
||||||
|
break;
|
||||||
|
case 2:
|
||||||
|
leftright = 0;
|
||||||
|
/* no break */
|
||||||
|
case 4:
|
||||||
|
if (ndigits <= 0)
|
||||||
|
ndigits = 1;
|
||||||
|
ilim = ilim1 = i = ndigits;
|
||||||
|
break;
|
||||||
|
case 3:
|
||||||
|
leftright = 0;
|
||||||
|
/* no break */
|
||||||
|
case 5:
|
||||||
|
i = ndigits + k + 1;
|
||||||
|
ilim = i;
|
||||||
|
ilim1 = i - 1;
|
||||||
|
if (i <= 0)
|
||||||
|
i = 1;
|
||||||
|
}
|
||||||
|
s = s0 = rv_alloc(i);
|
||||||
|
|
||||||
|
#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 (( j2 = -k )!=0) {
|
||||||
|
dval(&d) *= tens[j2 & 0xf];
|
||||||
|
for(j = j2 >> 4; j; j >>= 1, i++)
|
||||||
|
if (j & 1) {
|
||||||
|
ieps++;
|
||||||
|
dval(&d) *= bigtens[i];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (k_check && dval(&d) < 1. && ilim > 0) {
|
||||||
|
if (ilim1 <= 0)
|
||||||
|
goto fast_failed;
|
||||||
|
ilim = ilim1;
|
||||||
|
k--;
|
||||||
|
dval(&d) *= 10.;
|
||||||
|
ieps++;
|
||||||
|
}
|
||||||
|
dval(&eps) = ieps*dval(&d) + 7.;
|
||||||
|
word0(&eps) -= (P-1)*Exp_msk1;
|
||||||
|
if (ilim == 0) {
|
||||||
|
S = mhi = 0;
|
||||||
|
dval(&d) -= 5.;
|
||||||
|
if (dval(&d) > dval(&eps))
|
||||||
|
goto one_digit;
|
||||||
|
if (dval(&d) < -dval(&eps))
|
||||||
|
goto no_digits;
|
||||||
|
goto fast_failed;
|
||||||
|
}
|
||||||
|
#ifndef No_leftright
|
||||||
|
if (leftright) {
|
||||||
|
/* Use Steele & White method of only
|
||||||
|
* generating digits needed.
|
||||||
|
*/
|
||||||
|
dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
|
||||||
|
for(i = 0;;) {
|
||||||
|
L = dval(&d);
|
||||||
|
dval(&d) -= L;
|
||||||
|
*s++ = '0' + (int)L;
|
||||||
|
if (dval(&d) < dval(&eps))
|
||||||
|
goto ret1;
|
||||||
|
if (1. - dval(&d) < dval(&eps))
|
||||||
|
goto bump_up;
|
||||||
|
if (++i >= ilim)
|
||||||
|
break;
|
||||||
|
dval(&eps) *= 10.;
|
||||||
|
dval(&d) *= 10.;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
#endif
|
||||||
|
/* Generate ilim digits, then fix them up. */
|
||||||
|
dval(&eps) *= tens[ilim-1];
|
||||||
|
for(i = 1;; i++, dval(&d) *= 10.) {
|
||||||
|
L = (Long)(dval(&d));
|
||||||
|
if (!(dval(&d) -= L))
|
||||||
|
ilim = i;
|
||||||
|
*s++ = '0' + (int)L;
|
||||||
|
if (i == ilim) {
|
||||||
|
if (dval(&d) > 0.5 + dval(&eps))
|
||||||
|
goto bump_up;
|
||||||
|
else if (dval(&d) < 0.5 - dval(&eps)) {
|
||||||
|
while(*--s == '0');
|
||||||
|
s++;
|
||||||
|
goto ret1;
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
#ifndef No_leftright
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
fast_failed:
|
||||||
|
s = s0;
|
||||||
|
dval(&d) = dval(&d2);
|
||||||
|
k = k0;
|
||||||
|
ilim = ilim0;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Do we have a "small" integer? */
|
||||||
|
|
||||||
|
if (be >= 0 && k <= Int_max) {
|
||||||
|
/* Yes. */
|
||||||
|
ds = tens[k];
|
||||||
|
if (ndigits < 0 && ilim <= 0) {
|
||||||
|
S = mhi = 0;
|
||||||
|
if (ilim < 0 || dval(&d) <= 5*ds)
|
||||||
|
goto no_digits;
|
||||||
|
goto one_digit;
|
||||||
|
}
|
||||||
|
for(i = 1;; i++, dval(&d) *= 10.) {
|
||||||
|
L = (Long)(dval(&d) / ds);
|
||||||
|
dval(&d) -= L*ds;
|
||||||
|
#ifdef Check_FLT_ROUNDS
|
||||||
|
/* If FLT_ROUNDS == 2, L will usually be high by 1 */
|
||||||
|
if (dval(&d) < 0) {
|
||||||
|
L--;
|
||||||
|
dval(&d) += ds;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
*s++ = '0' + (int)L;
|
||||||
|
if (!dval(&d)) {
|
||||||
|
#ifdef SET_INEXACT
|
||||||
|
inexact = 0;
|
||||||
|
#endif
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
if (i == ilim) {
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
if (mode > 1)
|
||||||
|
switch(Rounding) {
|
||||||
|
case 0: goto ret1;
|
||||||
|
case 2: goto bump_up;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
dval(&d) += dval(&d);
|
||||||
|
#ifdef ROUND_BIASED
|
||||||
|
if (dval(&d) >= ds)
|
||||||
|
#else
|
||||||
|
if (dval(&d) > ds || (dval(&d) == ds && L & 1))
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
bump_up:
|
||||||
|
while(*--s == '9')
|
||||||
|
if (s == s0) {
|
||||||
|
k++;
|
||||||
|
*s = '0';
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
++*s++;
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
goto ret1;
|
||||||
|
}
|
||||||
|
|
||||||
|
m2 = b2;
|
||||||
|
m5 = b5;
|
||||||
|
mhi = mlo = 0;
|
||||||
|
if (leftright) {
|
||||||
|
i =
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
denorm ? be + (Bias + (P-1) - 1 + 1) :
|
||||||
|
#endif
|
||||||
|
1 + P - bbits;
|
||||||
|
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);
|
||||||
|
j2 = delta->sign ? 1 : cmp(b, delta);
|
||||||
|
Bfree(delta);
|
||||||
|
#ifndef ROUND_BIASED
|
||||||
|
if (j2 == 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 (j2 > 0) {
|
||||||
|
b = lshift(b, 1);
|
||||||
|
j2 = cmp(b, S);
|
||||||
|
#ifdef ROUND_BIASED
|
||||||
|
if (j2 >= 0 /*)*/
|
||||||
|
#else
|
||||||
|
if ((j2 > 0 || (j2 == 0 && dig & 1))
|
||||||
|
#endif
|
||||||
|
&& dig++ == '9')
|
||||||
|
goto round_9_up;
|
||||||
|
}
|
||||||
|
accept_dig:
|
||||||
|
*s++ = dig;
|
||||||
|
goto ret;
|
||||||
|
}
|
||||||
|
if (j2 > 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);
|
||||||
|
#ifdef ROUND_BIASED
|
||||||
|
if (j >= 0)
|
||||||
|
#else
|
||||||
|
if (j > 0 || (j == 0 && dig & 1))
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
roundoff:
|
||||||
|
while(*--s == '9')
|
||||||
|
if (s == s0) {
|
||||||
|
k++;
|
||||||
|
*s++ = '1';
|
||||||
|
goto ret;
|
||||||
|
}
|
||||||
|
++*s++;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
trimzeros:
|
||||||
|
#endif
|
||||||
|
while(*--s == '0');
|
||||||
|
s++;
|
||||||
|
}
|
||||||
|
ret:
|
||||||
|
Bfree(S);
|
||||||
|
if (mhi) {
|
||||||
|
if (mlo && mlo != mhi)
|
||||||
|
Bfree(mlo);
|
||||||
|
Bfree(mhi);
|
||||||
|
}
|
||||||
|
ret1:
|
||||||
|
#ifdef SET_INEXACT
|
||||||
|
if (inexact) {
|
||||||
|
if (!oldinexact) {
|
||||||
|
word0(&d) = Exp_1 + (70 << Exp_shift);
|
||||||
|
word1(&d) = 0;
|
||||||
|
dval(&d) += 1.;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else if (!oldinexact)
|
||||||
|
clear_inexact();
|
||||||
|
#endif
|
||||||
|
Bfree(b);
|
||||||
|
*s = 0;
|
||||||
|
*decpt = k + 1;
|
||||||
|
if (rve)
|
||||||
|
*rve = s;
|
||||||
|
return s0;
|
||||||
|
}
|
|
@ -0,0 +1,142 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 *__g__fmt (char *b, char *s, char *se, int decpt, ULong sign, size_t blen)
|
||||||
|
{
|
||||||
|
int i, j, k;
|
||||||
|
char *be, *s0;
|
||||||
|
size_t len;
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
#ifdef NO_LOCALE_CACHE
|
||||||
|
char *decimalpoint = localeconv()->decimal_point;
|
||||||
|
size_t dlen = strlen(decimalpoint);
|
||||||
|
#else
|
||||||
|
char *decimalpoint;
|
||||||
|
static char *decimalpoint_cache;
|
||||||
|
static size_t dlen;
|
||||||
|
if (!(s0 = decimalpoint_cache)) {
|
||||||
|
s0 = localeconv()->decimal_point;
|
||||||
|
dlen = strlen(s0);
|
||||||
|
if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) {
|
||||||
|
strcpy(decimalpoint_cache, s0);
|
||||||
|
s0 = decimalpoint_cache;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
decimalpoint = s0;
|
||||||
|
#endif
|
||||||
|
#else
|
||||||
|
#define dlen 0
|
||||||
|
#endif
|
||||||
|
s0 = s;
|
||||||
|
len = (se-s) + dlen + 6; /* 6 = sign + e+dd + trailing null */
|
||||||
|
if (blen < len)
|
||||||
|
goto ret0;
|
||||||
|
be = b + blen - 1;
|
||||||
|
if (sign)
|
||||||
|
*b++ = '-';
|
||||||
|
if (decpt <= -4 || decpt > se - s + 5) {
|
||||||
|
*b++ = *s++;
|
||||||
|
if (*s) {
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
while((*b = *decimalpoint++))
|
||||||
|
++b;
|
||||||
|
#else
|
||||||
|
*b++ = '.';
|
||||||
|
#endif
|
||||||
|
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;
|
||||||
|
if (b >= be)
|
||||||
|
goto ret0;
|
||||||
|
*b++ = i + '0';
|
||||||
|
if (--j <= 0)
|
||||||
|
break;
|
||||||
|
decpt -= i*k;
|
||||||
|
decpt *= 10;
|
||||||
|
}
|
||||||
|
*b = 0;
|
||||||
|
}
|
||||||
|
else if (decpt <= 0) {
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
while((*b = *decimalpoint++))
|
||||||
|
++b;
|
||||||
|
#else
|
||||||
|
*b++ = '.';
|
||||||
|
#endif
|
||||||
|
if (be < b - decpt + (se - s))
|
||||||
|
goto ret0;
|
||||||
|
for(; decpt < 0; decpt++)
|
||||||
|
*b++ = '0';
|
||||||
|
while((*b = *s++) != 0)
|
||||||
|
b++;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
while((*b = *s++) != 0) {
|
||||||
|
b++;
|
||||||
|
if (--decpt == 0 && *s) {
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
while((*b = *decimalpoint++))
|
||||||
|
++b;
|
||||||
|
#else
|
||||||
|
*b++ = '.';
|
||||||
|
#endif
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (b + decpt > be) {
|
||||||
|
ret0:
|
||||||
|
b = 0;
|
||||||
|
goto ret;
|
||||||
|
}
|
||||||
|
for(; decpt > 0; decpt--)
|
||||||
|
*b++ = '0';
|
||||||
|
*b = 0;
|
||||||
|
}
|
||||||
|
ret:
|
||||||
|
__freedtoa(s0);
|
||||||
|
return b;
|
||||||
|
}
|
|
@ -0,0 +1,90 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 *__g_dfmt (char *buf, double *d, int ndig, size_t bufsize)
|
||||||
|
{
|
||||||
|
static FPI fpi0 = { 53, 1-1023-53+1, 2046-1023-53+1, 1, 0, Int_max };
|
||||||
|
char *b, *s, *se;
|
||||||
|
ULong bits[2], *L, sign;
|
||||||
|
int decpt, ex, i, mode;
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#include "gdtoa_fltrnds.h"
|
||||||
|
#else
|
||||||
|
#define fpi &fpi0
|
||||||
|
#endif
|
||||||
|
|
||||||
|
if (ndig < 0)
|
||||||
|
ndig = 0;
|
||||||
|
if ((int) bufsize < ndig + 10)
|
||||||
|
return 0;
|
||||||
|
|
||||||
|
L = (ULong*)d;
|
||||||
|
sign = L[_0] & 0x80000000L;
|
||||||
|
if ((L[_0] & 0x7ff00000) == 0x7ff00000) {
|
||||||
|
/* Infinity or NaN */
|
||||||
|
if (bufsize < 10)
|
||||||
|
return 0;
|
||||||
|
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)
|
||||||
|
mode = 0;
|
||||||
|
i = STRTOG_Normal;
|
||||||
|
if (sign)
|
||||||
|
i = STRTOG_Normal | STRTOG_Neg;
|
||||||
|
s = __gdtoa(fpi, ex, bits, &i, mode, ndig, &decpt, &se);
|
||||||
|
return __g__fmt(buf, s, se, decpt, sign, bufsize);
|
||||||
|
}
|
|
@ -0,0 +1,88 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 *__g_ffmt (char *buf, float *f, int ndig, size_t bufsize)
|
||||||
|
{
|
||||||
|
static FPI fpi0 = { 24, 1-127-24+1, 254-127-24+1, 1, 0, 6 };
|
||||||
|
char *b, *s, *se;
|
||||||
|
ULong bits[1], *L, sign;
|
||||||
|
int decpt, ex, i, mode;
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#include "gdtoa_fltrnds.h"
|
||||||
|
#else
|
||||||
|
#define fpi &fpi0
|
||||||
|
#endif
|
||||||
|
|
||||||
|
if (ndig < 0)
|
||||||
|
ndig = 0;
|
||||||
|
if ((int) 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, bufsize);
|
||||||
|
}
|
|
@ -0,0 +1,143 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 *__g_xfmt (char *buf, void *V, int ndig, size_t bufsize)
|
||||||
|
{
|
||||||
|
static FPI fpi0 = { 64, 1-16383-64+1, 32766 - 16383 - 64 + 1, 1, 0, Int_max };
|
||||||
|
char *b, *s, *se;
|
||||||
|
ULong bits[2], sign;
|
||||||
|
UShort *L;
|
||||||
|
int decpt, ex, i, mode;
|
||||||
|
#if defined(__MINGW32__) || defined(__MINGW64__)
|
||||||
|
int fptype = __fpclassifyl (*(long double*) V);
|
||||||
|
#endif /* MinGW */
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#include "gdtoa_fltrnds.h"
|
||||||
|
#else
|
||||||
|
#define fpi &fpi0
|
||||||
|
#endif
|
||||||
|
|
||||||
|
if (ndig < 0)
|
||||||
|
ndig = 0;
|
||||||
|
if ((int) bufsize < ndig + 10)
|
||||||
|
return 0;
|
||||||
|
|
||||||
|
L = (UShort *)V;
|
||||||
|
sign = L[_0] & 0x8000;
|
||||||
|
ex = L[_0] & 0x7fff;
|
||||||
|
bits[1] = (L[_1] << 16) | L[_2];
|
||||||
|
bits[0] = (L[_3] << 16) | L[_4];
|
||||||
|
|
||||||
|
#if defined(__MINGW32__) || defined(__MINGW64__)
|
||||||
|
if (fptype & FP_NAN) {
|
||||||
|
/* NaN or Inf */
|
||||||
|
if (fptype & FP_NORMAL) {
|
||||||
|
b = buf;
|
||||||
|
*b++ = sign ? '-': '+';
|
||||||
|
strncpy (b, "Infinity", ndig ? ndig : 8);
|
||||||
|
return (buf + strlen (buf));
|
||||||
|
}
|
||||||
|
strncpy (buf, "NaN", ndig ? ndig : 3);
|
||||||
|
return (buf + strlen (buf));
|
||||||
|
}
|
||||||
|
else if (fptype & FP_NORMAL) {
|
||||||
|
/* Normal or subnormal */
|
||||||
|
if (fptype & FP_ZERO) {
|
||||||
|
i = STRTOG_Denormal;
|
||||||
|
ex = 1;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
i = STRTOG_Normal;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
if (ex != 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;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
else {
|
||||||
|
/* i = STRTOG_Zero; */
|
||||||
|
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, bufsize);
|
||||||
|
}
|
|
@ -0,0 +1,6 @@
|
||||||
|
#define IEEE_8087
|
||||||
|
#define Arith_Kind_ASL 1
|
||||||
|
#define Double_Align
|
||||||
|
#ifdef _WIN64
|
||||||
|
#define X64_bit_pointers
|
||||||
|
#endif /* w64 */
|
|
@ -0,0 +1,12 @@
|
||||||
|
#define f_QNAN 0xffc00000
|
||||||
|
#define d_QNAN0 0x0
|
||||||
|
#define d_QNAN1 0xfff80000
|
||||||
|
#define ld_QNAN0 0x0
|
||||||
|
#define ld_QNAN1 0xc0000000
|
||||||
|
#define ld_QNAN2 0xffff
|
||||||
|
#define ld_QNAN3 0x0
|
||||||
|
#define ldus_QNAN0 0x0
|
||||||
|
#define ldus_QNAN1 0x0
|
||||||
|
#define ldus_QNAN2 0x0
|
||||||
|
#define ldus_QNAN3 0xc000
|
||||||
|
#define ldus_QNAN4 0xffff
|
|
@ -0,0 +1,733 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 *bitstob (ULong *bits, int nbits, int *bbits)
|
||||||
|
{
|
||||||
|
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 (FPI *fpi, int be, ULong *bits, int *kindp, int mode, int ndigits,
|
||||||
|
int *decpt, char **rve)
|
||||||
|
{
|
||||||
|
/* Arguments ndigits and decpt are similar to the second and third
|
||||||
|
arguments of ecvt and fcvt; trailing zeros are suppressed from
|
||||||
|
the returned string. If not null, *rve is set to point
|
||||||
|
to the end of the return value. If d is +-Infinity or NaN,
|
||||||
|
then *decpt is set to 9999.
|
||||||
|
be = exponent: value = (integer represented by bits) * (2 to the power of be).
|
||||||
|
|
||||||
|
mode:
|
||||||
|
0 ==> shortest string that yields d when read in
|
||||||
|
and rounded to nearest.
|
||||||
|
1 ==> like 0, but with Steele & White stopping rule;
|
||||||
|
e.g. with IEEE P754 arithmetic , mode 0 gives
|
||||||
|
1e23 whereas mode 1 gives 9.999999999999999e22.
|
||||||
|
2 ==> max(1,ndigits) significant digits. This gives a
|
||||||
|
return value similar to that of ecvt, except
|
||||||
|
that trailing zeros are suppressed.
|
||||||
|
3 ==> through ndigits past the decimal point. This
|
||||||
|
gives a return value similar to that from fcvt,
|
||||||
|
except that trailing zeros are suppressed, and
|
||||||
|
ndigits can be negative.
|
||||||
|
4-9 should give the same return values as 2-3, i.e.,
|
||||||
|
4 <= mode <= 9 ==> same return as mode
|
||||||
|
2 + (mode & 1). These modes are mainly for
|
||||||
|
debugging; often they run slower but sometimes
|
||||||
|
faster than modes 2-3.
|
||||||
|
4,5,8,9 ==> left-to-right digit generation.
|
||||||
|
6-9 ==> don't try fast floating-point estimate
|
||||||
|
(if applicable).
|
||||||
|
|
||||||
|
Values of mode other than 0-9 are treated as mode 0.
|
||||||
|
|
||||||
|
Sufficient space is allocated to the return value
|
||||||
|
to hold the suppressed trailing zeros.
|
||||||
|
*/
|
||||||
|
|
||||||
|
int bbits, b2, b5, be0, dig, i, ieps, ilim, ilim0, ilim1, inex;
|
||||||
|
int j, j2, k, k0, k_check, kind, leftright, m2, m5, nbits;
|
||||||
|
int rdir, s2, s5, spec_case, try_quick;
|
||||||
|
Long L;
|
||||||
|
Bigint *b, *b1, *delta, *mlo, *mhi, *mhi1, *S;
|
||||||
|
double d2, ds;
|
||||||
|
char *s, *s0;
|
||||||
|
union _dbl_union d, eps;
|
||||||
|
|
||||||
|
#ifndef MULTIPLE_THREADS
|
||||||
|
if (dtoa_result) {
|
||||||
|
__freedtoa(dtoa_result);
|
||||||
|
dtoa_result = 0;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
inex = 0;
|
||||||
|
kind = *kindp &= ~STRTOG_Inexact;
|
||||||
|
switch(kind & STRTOG_Retmask) {
|
||||||
|
case STRTOG_Zero:
|
||||||
|
goto ret_zero;
|
||||||
|
case STRTOG_Normal:
|
||||||
|
case STRTOG_Denormal:
|
||||||
|
break;
|
||||||
|
case STRTOG_Infinite:
|
||||||
|
*decpt = -32768;
|
||||||
|
return nrv_alloc("Infinity", rve, 8);
|
||||||
|
case STRTOG_NaN:
|
||||||
|
*decpt = -32768;
|
||||||
|
return nrv_alloc("NaN", rve, 3);
|
||||||
|
default:
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
|
b = bitstob(bits, nbits = fpi->nbits, &bbits);
|
||||||
|
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;
|
||||||
|
|
||||||
|
/* 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.)
|
||||||
|
*/
|
||||||
|
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;
|
||||||
|
word0(&d) += (be + bbits - 1) << Exp_shift;
|
||||||
|
if (k >= 0 && k <= Ten_pmax) {
|
||||||
|
if (dval(&d) < tens[k])
|
||||||
|
k--;
|
||||||
|
k_check = 0;
|
||||||
|
}
|
||||||
|
j = bbits - i - 1;
|
||||||
|
if (j >= 0) {
|
||||||
|
b2 = 0;
|
||||||
|
s2 = j;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
b2 = -j;
|
||||||
|
s2 = 0;
|
||||||
|
}
|
||||||
|
if (k >= 0) {
|
||||||
|
b5 = 0;
|
||||||
|
s5 = k;
|
||||||
|
s2 += k;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
b2 -= k;
|
||||||
|
b5 = -k;
|
||||||
|
s5 = 0;
|
||||||
|
}
|
||||||
|
if (mode < 0 || mode > 9)
|
||||||
|
mode = 0;
|
||||||
|
try_quick = 1;
|
||||||
|
if (mode > 5) {
|
||||||
|
mode -= 4;
|
||||||
|
try_quick = 0;
|
||||||
|
}
|
||||||
|
else if (i >= -4 - Emin || i < Emin)
|
||||||
|
try_quick = 0;
|
||||||
|
leftright = 1;
|
||||||
|
ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */
|
||||||
|
/* silence erroneous "gcc -Wall" warning. */
|
||||||
|
switch(mode) {
|
||||||
|
case 0:
|
||||||
|
case 1:
|
||||||
|
i = (int)(nbits * .30103) + 3;
|
||||||
|
ndigits = 0;
|
||||||
|
break;
|
||||||
|
case 2:
|
||||||
|
leftright = 0;
|
||||||
|
/* no break */
|
||||||
|
case 4:
|
||||||
|
if (ndigits <= 0)
|
||||||
|
ndigits = 1;
|
||||||
|
ilim = ilim1 = i = ndigits;
|
||||||
|
break;
|
||||||
|
case 3:
|
||||||
|
leftright = 0;
|
||||||
|
/* no break */
|
||||||
|
case 5:
|
||||||
|
i = ndigits + k + 1;
|
||||||
|
ilim = i;
|
||||||
|
ilim1 = i - 1;
|
||||||
|
if (i <= 0)
|
||||||
|
i = 1;
|
||||||
|
}
|
||||||
|
s = s0 = rv_alloc(i);
|
||||||
|
|
||||||
|
if ( (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);
|
||||||
|
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 ( (j2 = -k) !=0) {
|
||||||
|
dval(&d) *= tens[j2 & 0xf];
|
||||||
|
for(j = j2 >> 4; j; j >>= 1, i++)
|
||||||
|
if (j & 1) {
|
||||||
|
ieps++;
|
||||||
|
dval(&d) *= bigtens[i];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (k_check && dval(&d) < 1. && ilim > 0) {
|
||||||
|
if (ilim1 <= 0)
|
||||||
|
goto fast_failed;
|
||||||
|
ilim = ilim1;
|
||||||
|
k--;
|
||||||
|
dval(&d) *= 10.;
|
||||||
|
ieps++;
|
||||||
|
}
|
||||||
|
dval(&eps) = ieps*dval(&d) + 7.;
|
||||||
|
word0(&eps) -= (P-1)*Exp_msk1;
|
||||||
|
if (ilim == 0) {
|
||||||
|
S = mhi = 0;
|
||||||
|
dval(&d) -= 5.;
|
||||||
|
if (dval(&d) > dval(&eps))
|
||||||
|
goto one_digit;
|
||||||
|
if (dval(&d) < -dval(&eps))
|
||||||
|
goto no_digits;
|
||||||
|
goto fast_failed;
|
||||||
|
}
|
||||||
|
#ifndef No_leftright
|
||||||
|
if (leftright) {
|
||||||
|
/* Use Steele & White method of only
|
||||||
|
* generating digits needed.
|
||||||
|
*/
|
||||||
|
dval(&eps) = ds*0.5/tens[ilim-1] - dval(&eps);
|
||||||
|
for(i = 0;;) {
|
||||||
|
L = (Long)(dval(&d)/ds);
|
||||||
|
dval(&d) -= L*ds;
|
||||||
|
*s++ = '0' + (int)L;
|
||||||
|
if (dval(&d) < dval(&eps)) {
|
||||||
|
if (dval(&d))
|
||||||
|
inex = STRTOG_Inexlo;
|
||||||
|
goto ret1;
|
||||||
|
}
|
||||||
|
if (ds - dval(&d) < dval(&eps))
|
||||||
|
goto bump_up;
|
||||||
|
if (++i >= ilim)
|
||||||
|
break;
|
||||||
|
dval(&eps) *= 10.;
|
||||||
|
dval(&d) *= 10.;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
#endif
|
||||||
|
/* Generate ilim digits, then fix them up. */
|
||||||
|
dval(&eps) *= tens[ilim-1];
|
||||||
|
for(i = 1;; i++, dval(&d) *= 10.) {
|
||||||
|
if ( (L = (Long)(dval(&d)/ds)) !=0)
|
||||||
|
dval(&d) -= L*ds;
|
||||||
|
*s++ = '0' + (int)L;
|
||||||
|
if (i == ilim) {
|
||||||
|
ds *= 0.5;
|
||||||
|
if (dval(&d) > ds + dval(&eps))
|
||||||
|
goto bump_up;
|
||||||
|
else if (dval(&d) < ds - dval(&eps)) {
|
||||||
|
if (dval(&d))
|
||||||
|
inex = STRTOG_Inexlo;
|
||||||
|
goto clear_trailing0;
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
#ifndef No_leftright
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
fast_failed:
|
||||||
|
s = s0;
|
||||||
|
dval(&d) = d2;
|
||||||
|
k = k0;
|
||||||
|
ilim = ilim0;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Do we have a "small" integer? */
|
||||||
|
|
||||||
|
if (be >= 0 && k <= fpi->int_max) {
|
||||||
|
/* Yes. */
|
||||||
|
ds = tens[k];
|
||||||
|
if (ndigits < 0 && ilim <= 0) {
|
||||||
|
S = mhi = 0;
|
||||||
|
if (ilim < 0 || dval(&d) <= 5*ds)
|
||||||
|
goto no_digits;
|
||||||
|
goto one_digit;
|
||||||
|
}
|
||||||
|
for(i = 1;; i++, dval(&d) *= 10.) {
|
||||||
|
L = dval(&d) / ds;
|
||||||
|
dval(&d) -= L*ds;
|
||||||
|
#ifdef Check_FLT_ROUNDS
|
||||||
|
/* If FLT_ROUNDS == 2, L will usually be high by 1 */
|
||||||
|
if (dval(&d) < 0) {
|
||||||
|
L--;
|
||||||
|
dval(&d) += ds;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
*s++ = '0' + (int)L;
|
||||||
|
if (dval(&d) == 0.)
|
||||||
|
break;
|
||||||
|
if (i == ilim) {
|
||||||
|
if (rdir) {
|
||||||
|
if (rdir == 1)
|
||||||
|
goto bump_up;
|
||||||
|
inex = STRTOG_Inexlo;
|
||||||
|
goto ret1;
|
||||||
|
}
|
||||||
|
dval(&d) += dval(&d);
|
||||||
|
#ifdef ROUND_BIASED
|
||||||
|
if (dval(&d) >= ds)
|
||||||
|
#else
|
||||||
|
if (dval(&d) > ds || (dval(&d) == ds && L & 1))
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
bump_up:
|
||||||
|
inex = STRTOG_Inexhi;
|
||||||
|
while(*--s == '9')
|
||||||
|
if (s == s0) {
|
||||||
|
k++;
|
||||||
|
*s = '0';
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
++*s++;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
inex = STRTOG_Inexlo;
|
||||||
|
clear_trailing0:
|
||||||
|
while(*--s == '0'){}
|
||||||
|
++s;
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
goto ret1;
|
||||||
|
}
|
||||||
|
|
||||||
|
m2 = b2;
|
||||||
|
m5 = b5;
|
||||||
|
mhi = mlo = 0;
|
||||||
|
if (leftright) {
|
||||||
|
i = nbits - bbits;
|
||||||
|
if (be - i++ < fpi->emin && mode != 3 && mode != 5) {
|
||||||
|
/* denormal */
|
||||||
|
i = be - fpi->emin + 1;
|
||||||
|
if (mode >= 2 && ilim > 0 && ilim < i)
|
||||||
|
goto small_ilim;
|
||||||
|
}
|
||||||
|
else if (mode >= 2) {
|
||||||
|
small_ilim:
|
||||||
|
j = ilim - 1;
|
||||||
|
if (m5 >= j)
|
||||||
|
m5 -= j;
|
||||||
|
else {
|
||||||
|
s5 += j -= m5;
|
||||||
|
b5 += j;
|
||||||
|
m5 = 0;
|
||||||
|
}
|
||||||
|
if ((i = ilim) < 0) {
|
||||||
|
m2 -= i;
|
||||||
|
i = 0;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
b2 += i;
|
||||||
|
s2 += i;
|
||||||
|
mhi = i2b(1);
|
||||||
|
}
|
||||||
|
if (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.
|
||||||
|
*/
|
||||||
|
i = ((s5 ? hi0bits(S->x[S->wds-1]) : ULbits - 1) - s2 - 4) & kmask;
|
||||||
|
m2 += i;
|
||||||
|
if ((b2 += i) > 0)
|
||||||
|
b = lshift(b, b2);
|
||||||
|
if ((s2 += i) > 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);
|
||||||
|
j2 = delta->sign ? 1 : cmp(b, delta);
|
||||||
|
Bfree(delta);
|
||||||
|
#ifndef ROUND_BIASED
|
||||||
|
if (j2 == 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 (j2 > 0) {
|
||||||
|
b = lshift(b, 1);
|
||||||
|
j2 = cmp(b, S);
|
||||||
|
#ifdef ROUND_BIASED
|
||||||
|
if (j2 >= 0 /*)*/
|
||||||
|
#else
|
||||||
|
if ((j2 > 0 || (j2 == 0 && dig & 1))
|
||||||
|
#endif
|
||||||
|
&& dig++ == '9')
|
||||||
|
goto round_9_up;
|
||||||
|
inex = STRTOG_Inexhi;
|
||||||
|
}
|
||||||
|
if (b->wds > 1 || b->x[0])
|
||||||
|
inex = STRTOG_Inexlo;
|
||||||
|
accept:
|
||||||
|
*s++ = dig;
|
||||||
|
goto ret;
|
||||||
|
}
|
||||||
|
if (j2 > 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);
|
||||||
|
#ifdef ROUND_BIASED
|
||||||
|
if (j >= 0)
|
||||||
|
#else
|
||||||
|
if (j > 0 || (j == 0 && dig & 1))
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
roundoff:
|
||||||
|
inex = STRTOG_Inexhi;
|
||||||
|
while(*--s == '9')
|
||||||
|
if (s == s0) {
|
||||||
|
k++;
|
||||||
|
*s++ = '1';
|
||||||
|
goto ret;
|
||||||
|
}
|
||||||
|
++*s++;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
chopzeros:
|
||||||
|
if (b->wds > 1 || b->x[0])
|
||||||
|
inex = STRTOG_Inexlo;
|
||||||
|
while(*--s == '0'){}
|
||||||
|
++s;
|
||||||
|
}
|
||||||
|
ret:
|
||||||
|
Bfree(S);
|
||||||
|
if (mhi) {
|
||||||
|
if (mlo && mlo != mhi)
|
||||||
|
Bfree(mlo);
|
||||||
|
Bfree(mhi);
|
||||||
|
}
|
||||||
|
ret1:
|
||||||
|
Bfree(b);
|
||||||
|
*s = 0;
|
||||||
|
*decpt = k + 1;
|
||||||
|
if (rve)
|
||||||
|
*rve = s;
|
||||||
|
*kindp |= inex;
|
||||||
|
return s0;
|
||||||
|
}
|
|
@ -0,0 +1,121 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 "."). */
|
||||||
|
|
||||||
|
/* Modified by Danny Smith for inclusion in libmingwex.a
|
||||||
|
Aug 2006 */
|
||||||
|
|
||||||
|
/* Modified by Vincent Torri for inclusion in Evil
|
||||||
|
February 2012 */
|
||||||
|
|
||||||
|
#ifndef GDTOA_H_INCLUDED
|
||||||
|
#define GDTOA_H_INCLUDED
|
||||||
|
|
||||||
|
#include "gd_arith.h"
|
||||||
|
#include <stddef.h> /* for size_t */
|
||||||
|
|
||||||
|
#if defined(__MINGW32__) || defined(__MINGW64__)
|
||||||
|
/* keep the 'Long' definition as 'long' for compatibility
|
||||||
|
* with older/other software. long in w64 is 32 bits anyway..
|
||||||
|
*/
|
||||||
|
#define Long long /* Windows long is 32 bit */
|
||||||
|
#undef NO_LONG_LONG /* we have long long type */
|
||||||
|
#endif /* MinGW */
|
||||||
|
|
||||||
|
#ifndef Long
|
||||||
|
#define Long int
|
||||||
|
#endif
|
||||||
|
#ifndef ULong
|
||||||
|
typedef unsigned Long ULong;
|
||||||
|
#endif
|
||||||
|
#ifndef UShort
|
||||||
|
typedef unsigned short UShort;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
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, /* does not affect STRTOG_Inexlo or STRTOG_Inexhi */
|
||||||
|
STRTOG_Inexlo = 0x10, /* returned result rounded toward zero */
|
||||||
|
STRTOG_Inexhi = 0x20, /* returned result rounded away from zero */
|
||||||
|
STRTOG_Inexact = 0x30,
|
||||||
|
STRTOG_Underflow= 0x40,
|
||||||
|
STRTOG_Overflow = 0x80
|
||||||
|
};
|
||||||
|
|
||||||
|
typedef struct
|
||||||
|
FPI {
|
||||||
|
int nbits;
|
||||||
|
int emin;
|
||||||
|
int emax;
|
||||||
|
int rounding;
|
||||||
|
int sudden_underflow;
|
||||||
|
int int_max;
|
||||||
|
} 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 (double d, int mode, int ndigits, int *decpt,
|
||||||
|
int *sign, char **rve);
|
||||||
|
extern char* __gdtoa (FPI *fpi, int be, ULong *bits, int *kindp,
|
||||||
|
int mode, int ndigits, int *decpt, char **rve);
|
||||||
|
extern void __freedtoa (char *);
|
||||||
|
|
||||||
|
extern float __evil_strtof (const char *, char **);
|
||||||
|
extern long double __evil_strtold (const char *, char **);
|
||||||
|
extern int __strtodg (const char *, char **, FPI *, Long *, ULong *);
|
||||||
|
|
||||||
|
extern char* __g__fmt (char*, char*, char*, int, ULong, size_t);
|
||||||
|
extern char* __g_dfmt (char*, double*, int, size_t);
|
||||||
|
extern char* __g_ffmt (char*, float*, int, size_t);
|
||||||
|
extern char* __g_xfmt (char*, void*, int, size_t);
|
||||||
|
|
||||||
|
#ifdef __cplusplus
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
#endif /* GDTOA_H_INCLUDED */
|
|
@ -0,0 +1,18 @@
|
||||||
|
FPI *fpi, fpi1;
|
||||||
|
int Rounding;
|
||||||
|
#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
|
||||||
|
Rounding = Flt_Rounds;
|
||||||
|
#else /*}{*/
|
||||||
|
Rounding = 1;
|
||||||
|
switch(fegetround()) {
|
||||||
|
case FE_TOWARDZERO: Rounding = 0; break;
|
||||||
|
case FE_UPWARD: Rounding = 2; break;
|
||||||
|
case FE_DOWNWARD: Rounding = 3;
|
||||||
|
}
|
||||||
|
#endif /*}}*/
|
||||||
|
fpi = &fpi0;
|
||||||
|
if (Rounding != 1) {
|
||||||
|
fpi1 = fpi0;
|
||||||
|
fpi = &fpi1;
|
||||||
|
fpi1.rounding = Rounding;
|
||||||
|
}
|
|
@ -0,0 +1,641 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
The author of this software is David M. Gay.
|
||||||
|
|
||||||
|
Copyright (C) 1998-2000 by Lucent Technologies
|
||||||
|
All Rights Reserved
|
||||||
|
|
||||||
|
Permission to use, copy, modify, and distribute this software and
|
||||||
|
its documentation for any purpose and without fee is hereby
|
||||||
|
granted, provided that the above copyright notice appear in all
|
||||||
|
copies and that both that the copyright notice and this
|
||||||
|
permission notice and warranty disclaimer appear in supporting
|
||||||
|
documentation, and that the name of Lucent or any of its entities
|
||||||
|
not be used in advertising or publicity pertaining to
|
||||||
|
distribution of the software without specific, written prior
|
||||||
|
permission.
|
||||||
|
|
||||||
|
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
|
||||||
|
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
|
||||||
|
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
|
||||||
|
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
||||||
|
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
|
||||||
|
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
|
||||||
|
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
|
||||||
|
THIS SOFTWARE.
|
||||||
|
|
||||||
|
****************************************************************/
|
||||||
|
|
||||||
|
/* This is a variation on dtoa.c that converts arbitary binary
|
||||||
|
floating-point formats to and from decimal notation. It uses
|
||||||
|
double-precision arithmetic internally, so there are still
|
||||||
|
various #ifdefs that adapt the calculations to the native
|
||||||
|
double-precision arithmetic (any of IEEE, VAX D_floating,
|
||||||
|
or IBM mainframe arithmetic).
|
||||||
|
|
||||||
|
Please send bug reports to David M. Gay (dmg at acm dot org,
|
||||||
|
with " at " changed at "@" and " dot " changed to ".").
|
||||||
|
*/
|
||||||
|
|
||||||
|
/* On a machine with IEEE extended-precision registers, it is
|
||||||
|
* necessary to specify double-precision (53-bit) rounding precision
|
||||||
|
* before invoking strtod or dtoa. If the machine uses (the equivalent
|
||||||
|
* of) Intel 80x87 arithmetic, the call
|
||||||
|
* _control87(PC_53, MCW_PC);
|
||||||
|
* does this with many compilers. Whether this or another call is
|
||||||
|
* appropriate depends on the compiler; for this to work, it may be
|
||||||
|
* necessary to #include "float.h" or another system-dependent header
|
||||||
|
* file.
|
||||||
|
*/
|
||||||
|
|
||||||
|
/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
|
||||||
|
*
|
||||||
|
* This strtod returns a nearest machine number to the input decimal
|
||||||
|
* string (or sets errno to ERANGE). With IEEE arithmetic, ties are
|
||||||
|
* broken by the IEEE round-even rule. Otherwise ties are broken by
|
||||||
|
* biased rounding (add half and chop).
|
||||||
|
*
|
||||||
|
* Inspired loosely by William D. Clinger's paper "How to Read Floating
|
||||||
|
* Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
|
||||||
|
*
|
||||||
|
* Modifications:
|
||||||
|
*
|
||||||
|
* 1. We only require IEEE, IBM, or VAX double-precision
|
||||||
|
* arithmetic (not IEEE double-extended).
|
||||||
|
* 2. We get by with floating-point arithmetic in a case that
|
||||||
|
* Clinger missed -- when we're computing d * 10^n
|
||||||
|
* for a small integer d and the integer n is not too
|
||||||
|
* much larger than 22 (the maximum integer k for which
|
||||||
|
* we can represent 10^k exactly), we may be able to
|
||||||
|
* compute (d*10^k) * 10^(e-k) with just one roundoff.
|
||||||
|
* 3. Rather than a bit-at-a-time adjustment of the binary
|
||||||
|
* result in the hard case, we use floating-point
|
||||||
|
* arithmetic to determine the adjustment to within
|
||||||
|
* one bit; only in really hard cases do we need to
|
||||||
|
* compute a second residual.
|
||||||
|
* 4. Because of 3., we don't need a large table of powers of 10
|
||||||
|
* for ten-to-e (just some small tables, e.g. of 10^k
|
||||||
|
* for 0 <= k <= 22).
|
||||||
|
*/
|
||||||
|
|
||||||
|
/*
|
||||||
|
* #define IEEE_8087 for IEEE-arithmetic machines where the least
|
||||||
|
* significant byte has the lowest address.
|
||||||
|
* #define IEEE_MC68k for IEEE-arithmetic machines where the most
|
||||||
|
* significant byte has the lowest address.
|
||||||
|
* #define Long int on machines with 32-bit ints and 64-bit longs.
|
||||||
|
* #define Sudden_Underflow for IEEE-format machines without gradual
|
||||||
|
* underflow (i.e., that flush to zero on underflow).
|
||||||
|
* #define IBM for IBM mainframe-style floating-point arithmetic.
|
||||||
|
* #define VAX for VAX-style floating-point arithmetic (D_floating).
|
||||||
|
* #define No_leftright to omit left-right logic in fast floating-point
|
||||||
|
* computation of dtoa and gdtoa. This will cause modes 4 and 5 to be
|
||||||
|
* treated the same as modes 2 and 3 for some inputs.
|
||||||
|
* #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
|
||||||
|
* #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
|
||||||
|
* that use extended-precision instructions to compute rounded
|
||||||
|
* products and quotients) with IBM.
|
||||||
|
* #define ROUND_BIASED for IEEE-format with biased rounding and arithmetic
|
||||||
|
* that rounds toward +Infinity.
|
||||||
|
* #define ROUND_BIASED_without_Round_Up for IEEE-format with biased
|
||||||
|
* rounding when the underlying floating-point arithmetic uses
|
||||||
|
* unbiased rounding. This prevent using ordinary floating-point
|
||||||
|
* arithmetic when the result could be computed with one rounding error.
|
||||||
|
* #define Inaccurate_Divide for IEEE-format with correctly rounded
|
||||||
|
* products but inaccurate quotients, e.g., for Intel i860.
|
||||||
|
* #define NO_LONG_LONG on machines that do not have a "long long"
|
||||||
|
* integer type (of >= 64 bits). On such machines, you can
|
||||||
|
* #define Just_16 to store 16 bits per 32-bit Long when doing
|
||||||
|
* high-precision integer arithmetic. Whether this speeds things
|
||||||
|
* up or slows things down depends on the machine and the number
|
||||||
|
* being converted. If long long is available and the name is
|
||||||
|
* something other than "long long", #define Llong to be the name,
|
||||||
|
* and if "unsigned Llong" does not work as an unsigned version of
|
||||||
|
* Llong, #define #ULLong to be the corresponding unsigned type.
|
||||||
|
* #define KR_headers for old-style C function headers.
|
||||||
|
* #define Bad_float_h if your system lacks a float.h or if it does not
|
||||||
|
* define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
|
||||||
|
* FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
|
||||||
|
* #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
|
||||||
|
* if memory is available and otherwise does something you deem
|
||||||
|
* appropriate. If MALLOC is undefined, malloc will be invoked
|
||||||
|
* directly -- and assumed always to succeed.
|
||||||
|
* #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
|
||||||
|
* memory allocations from a private pool of memory when possible.
|
||||||
|
* When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
|
||||||
|
* unless #defined to be a different length. This default length
|
||||||
|
* suffices to get rid of MALLOC calls except for unusual cases,
|
||||||
|
* such as decimal-to-binary conversion of a very long string of
|
||||||
|
* digits. When converting IEEE double precision values, the
|
||||||
|
* longest string gdtoa can return is about 751 bytes long. For
|
||||||
|
* conversions by strtod of strings of 800 digits and all gdtoa
|
||||||
|
* conversions of IEEE doubles in single-threaded executions with
|
||||||
|
* 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
|
||||||
|
* 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
|
||||||
|
* #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
|
||||||
|
* #defined automatically on IEEE systems. On such systems,
|
||||||
|
* when INFNAN_CHECK is #defined, strtod checks
|
||||||
|
* for Infinity and NaN (case insensitively).
|
||||||
|
* When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
|
||||||
|
* strtodg also accepts (case insensitively) strings of the form
|
||||||
|
* NaN(x), where x is a string of hexadecimal digits (optionally
|
||||||
|
* preceded by 0x or 0X) and spaces; if there is only one string
|
||||||
|
* of hexadecimal digits, it is taken for the fraction bits of the
|
||||||
|
* resulting NaN; if there are two or more strings of hexadecimal
|
||||||
|
* digits, each string is assigned to the next available sequence
|
||||||
|
* of 32-bit words of fractions bits (starting with the most
|
||||||
|
* significant), right-aligned in each sequence.
|
||||||
|
* Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)"
|
||||||
|
* is consumed even when ... has the wrong form (in which case the
|
||||||
|
* "(...)" is consumed but ignored).
|
||||||
|
* #define MULTIPLE_THREADS if the system offers preemptively scheduled
|
||||||
|
* multiple threads. In this case, you must provide (or suitably
|
||||||
|
* #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
|
||||||
|
* by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
|
||||||
|
* in pow5mult, ensures lazy evaluation of only one copy of high
|
||||||
|
* powers of 5; omitting this lock would introduce a small
|
||||||
|
* probability of wasting memory, but would otherwise be harmless.)
|
||||||
|
* You must also invoke freedtoa(s) to free the value s returned by
|
||||||
|
* dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
|
||||||
|
* #define IMPRECISE_INEXACT if you do not care about the setting of
|
||||||
|
* the STRTOG_Inexact bits in the special case of doing IEEE double
|
||||||
|
* precision conversions (which could also be done by the 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 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"
|
||||||
|
|
||||||
|
#if defined(__MINGW32__) || defined(__MINGW64__)
|
||||||
|
#define MULTIPLE_THREADS 1
|
||||||
|
#define USE_LOCALE 1
|
||||||
|
#define NO_LOCALE_CACHE 1
|
||||||
|
#endif /* MinGW */
|
||||||
|
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#include <fenv.h>
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#ifdef DEBUG
|
||||||
|
#include <stdio.h>
|
||||||
|
#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#include <stdlib.h>
|
||||||
|
#include <string.h>
|
||||||
|
|
||||||
|
#ifdef MALLOC
|
||||||
|
extern void *MALLOC (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 NO_ERRNO
|
||||||
|
#define SET_ERRNO(x)
|
||||||
|
#else
|
||||||
|
#define SET_ERRNO(x) \
|
||||||
|
errno = (x)
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#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 _dbl_union { double d; ULong L[2]; } dbl_union;
|
||||||
|
|
||||||
|
#ifdef IEEE_8087
|
||||||
|
#define word0(x) (x)->L[1]
|
||||||
|
#define word1(x) (x)->L[0]
|
||||||
|
#else
|
||||||
|
#define word0(x) (x)->L[0]
|
||||||
|
#define word1(x) (x)->L[1]
|
||||||
|
#endif
|
||||||
|
#define dval(x) (x)->d
|
||||||
|
|
||||||
|
/* The following definition of Storeinc is appropriate for MIPS processors.
|
||||||
|
* An alternative that might be better on some machines is
|
||||||
|
* #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
|
||||||
|
*/
|
||||||
|
#if defined(IEEE_8087) + defined(VAX)
|
||||||
|
#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
|
||||||
|
((unsigned short *)a)[0] = (unsigned short)c, a++)
|
||||||
|
#else
|
||||||
|
#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
|
||||||
|
((unsigned short *)a)[1] = (unsigned short)c, a++)
|
||||||
|
#endif
|
||||||
|
|
||||||
|
/* #define P DBL_MANT_DIG */
|
||||||
|
/* Ten_pmax = floor(P*log(2)/log(5)) */
|
||||||
|
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
|
||||||
|
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
|
||||||
|
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
|
||||||
|
|
||||||
|
#ifdef IEEE_Arith
|
||||||
|
#define Exp_shift 20
|
||||||
|
#define Exp_shift1 20
|
||||||
|
#define Exp_msk1 0x100000
|
||||||
|
#define Exp_msk11 0x100000
|
||||||
|
#define Exp_mask 0x7ff00000
|
||||||
|
#define P 53
|
||||||
|
#define Bias 1023
|
||||||
|
#define Emin (-1022)
|
||||||
|
#define Exp_1 0x3ff00000
|
||||||
|
#define Exp_11 0x3ff00000
|
||||||
|
#define Ebits 11
|
||||||
|
#define Frac_mask 0xfffff
|
||||||
|
#define Frac_mask1 0xfffff
|
||||||
|
#define Ten_pmax 22
|
||||||
|
#define Bletch 0x10
|
||||||
|
#define Bndry_mask 0xfffff
|
||||||
|
#define Bndry_mask1 0xfffff
|
||||||
|
#define LSB 1
|
||||||
|
#define Sign_bit 0x80000000
|
||||||
|
#define Log2P 1
|
||||||
|
#define Tiny0 0
|
||||||
|
#define Tiny1 1
|
||||||
|
#define Quick_max 14
|
||||||
|
#define Int_max 14
|
||||||
|
|
||||||
|
#ifndef Flt_Rounds
|
||||||
|
#ifdef FLT_ROUNDS
|
||||||
|
#define Flt_Rounds FLT_ROUNDS
|
||||||
|
#else
|
||||||
|
#define Flt_Rounds 1
|
||||||
|
#endif
|
||||||
|
#endif /*Flt_Rounds*/
|
||||||
|
|
||||||
|
#else /* ifndef IEEE_Arith */
|
||||||
|
#undef Sudden_Underflow
|
||||||
|
#define Sudden_Underflow
|
||||||
|
#ifdef IBM
|
||||||
|
#undef Flt_Rounds
|
||||||
|
#define Flt_Rounds 0
|
||||||
|
#define Exp_shift 24
|
||||||
|
#define Exp_shift1 24
|
||||||
|
#define Exp_msk1 0x1000000
|
||||||
|
#define Exp_msk11 0x1000000
|
||||||
|
#define Exp_mask 0x7f000000
|
||||||
|
#define P 14
|
||||||
|
#define Bias 65
|
||||||
|
#define Exp_1 0x41000000
|
||||||
|
#define Exp_11 0x41000000
|
||||||
|
#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
|
||||||
|
#define Frac_mask 0xffffff
|
||||||
|
#define Frac_mask1 0xffffff
|
||||||
|
#define Bletch 4
|
||||||
|
#define Ten_pmax 22
|
||||||
|
#define Bndry_mask 0xefffff
|
||||||
|
#define Bndry_mask1 0xffffff
|
||||||
|
#define LSB 1
|
||||||
|
#define Sign_bit 0x80000000
|
||||||
|
#define Log2P 4
|
||||||
|
#define Tiny0 0x100000
|
||||||
|
#define Tiny1 0
|
||||||
|
#define Quick_max 14
|
||||||
|
#define Int_max 15
|
||||||
|
#else /* VAX */
|
||||||
|
#undef Flt_Rounds
|
||||||
|
#define Flt_Rounds 1
|
||||||
|
#define Exp_shift 23
|
||||||
|
#define Exp_shift1 7
|
||||||
|
#define Exp_msk1 0x80
|
||||||
|
#define Exp_msk11 0x800000
|
||||||
|
#define Exp_mask 0x7f80
|
||||||
|
#define P 56
|
||||||
|
#define Bias 129
|
||||||
|
#define Exp_1 0x40800000
|
||||||
|
#define Exp_11 0x4080
|
||||||
|
#define Ebits 8
|
||||||
|
#define Frac_mask 0x7fffff
|
||||||
|
#define Frac_mask1 0xffff007f
|
||||||
|
#define Ten_pmax 24
|
||||||
|
#define Bletch 2
|
||||||
|
#define Bndry_mask 0xffff007f
|
||||||
|
#define Bndry_mask1 0xffff007f
|
||||||
|
#define LSB 0x10000
|
||||||
|
#define Sign_bit 0x8000
|
||||||
|
#define Log2P 1
|
||||||
|
#define Tiny0 0x80
|
||||||
|
#define Tiny1 0
|
||||||
|
#define Quick_max 15
|
||||||
|
#define Int_max 15
|
||||||
|
#endif /* IBM, VAX */
|
||||||
|
#endif /* IEEE_Arith */
|
||||||
|
|
||||||
|
#ifndef IEEE_Arith
|
||||||
|
#define ROUND_BIASED
|
||||||
|
#else
|
||||||
|
#ifdef ROUND_BIASED_without_Round_Up
|
||||||
|
#undef ROUND_BIASED
|
||||||
|
#define ROUND_BIASED
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#ifdef RND_PRODQUOT
|
||||||
|
#define rounded_product(a,b) a = rnd_prod(a, b)
|
||||||
|
#define rounded_quotient(a,b) a = rnd_quot(a, b)
|
||||||
|
extern double rnd_prod(double, double), rnd_quot(double, double);
|
||||||
|
#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 9
|
||||||
|
|
||||||
|
#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 (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 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
|
||||||
|
|
||||||
|
#define hexdig_init_D2A __mingw_hexdig_init_D2A
|
||||||
|
|
||||||
|
extern char *dtoa_result;
|
||||||
|
extern const double bigtens[], tens[], tinytens[];
|
||||||
|
extern unsigned char hexdig[];
|
||||||
|
|
||||||
|
extern Bigint *Balloc (int);
|
||||||
|
extern void Bfree (Bigint*);
|
||||||
|
extern void ULtof (ULong*, ULong*, Long, int);
|
||||||
|
extern void ULtod (ULong*, ULong*, Long, int);
|
||||||
|
extern void ULtodd (ULong*, ULong*, Long, int);
|
||||||
|
extern void ULtoQ (ULong*, ULong*, Long, int);
|
||||||
|
extern void ULtox (UShort*, ULong*, Long, int);
|
||||||
|
extern void ULtoxL (ULong*, ULong*, Long, int);
|
||||||
|
extern ULong any_on (Bigint*, int);
|
||||||
|
extern double b2d (Bigint*, int*);
|
||||||
|
extern int cmp (Bigint*, Bigint*);
|
||||||
|
extern void copybits (ULong*, int, Bigint*);
|
||||||
|
extern Bigint *d2b (double, int*, int*);
|
||||||
|
extern void decrement (Bigint*);
|
||||||
|
extern Bigint *diff (Bigint*, Bigint*);
|
||||||
|
extern int gethex (const char**, FPI*, Long*, Bigint**, int);
|
||||||
|
extern void hexdig_init_D2A(void);
|
||||||
|
extern int hexnan (const char**, FPI*, ULong*);
|
||||||
|
extern int hi0bits_D2A (ULong);
|
||||||
|
extern Bigint *i2b (int);
|
||||||
|
extern Bigint *increment (Bigint*);
|
||||||
|
extern int lo0bits (ULong*);
|
||||||
|
extern Bigint *lshift (Bigint*, int);
|
||||||
|
extern int match (const char**, char*);
|
||||||
|
extern Bigint *mult (Bigint*, Bigint*);
|
||||||
|
extern Bigint *multadd (Bigint*, int, int);
|
||||||
|
extern char *nrv_alloc (char*, char **, int);
|
||||||
|
extern Bigint *pow5mult (Bigint*, int);
|
||||||
|
extern int quorem (Bigint*, Bigint*);
|
||||||
|
extern double ratio (Bigint*, Bigint*);
|
||||||
|
extern void rshift (Bigint*, int);
|
||||||
|
extern char *rv_alloc (int);
|
||||||
|
extern Bigint *s2b (const char*, int, int, ULong, int);
|
||||||
|
extern Bigint *set_ones (Bigint*, int);
|
||||||
|
extern char *strcp (char*, const char*);
|
||||||
|
extern Bigint *sum (Bigint*, Bigint*);
|
||||||
|
extern int trailz (Bigint*);
|
||||||
|
extern double ulp (dbl_union *);
|
||||||
|
|
||||||
|
#ifdef __cplusplus
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
/*
|
||||||
|
* NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to
|
||||||
|
* 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
|
||||||
|
* respectively), but now are determined by compiling and running
|
||||||
|
* qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
|
||||||
|
* Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
|
||||||
|
* and -DNAN_WORD1=... values if necessary. This should still work.
|
||||||
|
* (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
|
||||||
|
*/
|
||||||
|
#ifdef IEEE_Arith
|
||||||
|
#ifndef NO_INFNAN_CHECK
|
||||||
|
#undef INFNAN_CHECK
|
||||||
|
#define INFNAN_CHECK
|
||||||
|
#endif
|
||||||
|
#ifdef IEEE_MC68k
|
||||||
|
#define _0 0
|
||||||
|
#define _1 1
|
||||||
|
#ifndef NAN_WORD0
|
||||||
|
#define NAN_WORD0 d_QNAN0
|
||||||
|
#endif
|
||||||
|
#ifndef NAN_WORD1
|
||||||
|
#define NAN_WORD1 d_QNAN1
|
||||||
|
#endif
|
||||||
|
#else
|
||||||
|
#define _0 1
|
||||||
|
#define _1 0
|
||||||
|
#ifndef NAN_WORD0
|
||||||
|
#define NAN_WORD0 d_QNAN1
|
||||||
|
#endif
|
||||||
|
#ifndef NAN_WORD1
|
||||||
|
#define NAN_WORD1 d_QNAN0
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
#else
|
||||||
|
#undef INFNAN_CHECK
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#undef SI
|
||||||
|
#ifdef Sudden_Underflow
|
||||||
|
#define SI 1
|
||||||
|
#else
|
||||||
|
#define SI 0
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#endif /* GDTOAIMP_H_INCLUDED */
|
|
@ -0,0 +1,340 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 gethex (const char **sp, FPI *fpi, Long *expo, Bigint **bp, int sign)
|
||||||
|
{
|
||||||
|
Bigint *b;
|
||||||
|
const unsigned char *decpt, *s0, *s, *s1;
|
||||||
|
int big, esign, havedig, irv, j, k, n, n0, nbits, up, zret;
|
||||||
|
ULong L, lostbits, *x;
|
||||||
|
Long e, e1;
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
int i;
|
||||||
|
const unsigned char *decimalpoint;
|
||||||
|
#ifdef NO_LOCALE_CACHE
|
||||||
|
decimalpoint = (unsigned char *)localeconv()->decimal_point;
|
||||||
|
#else
|
||||||
|
static unsigned char *decimalpoint_cache;
|
||||||
|
if (!(s0 = decimalpoint_cache)) {
|
||||||
|
s0 = (unsigned char *)localeconv()->decimal_point;
|
||||||
|
decimalpoint_cache = (unsigned char *)
|
||||||
|
MALLOC(strlen((char *)s0) + 1);
|
||||||
|
if (decimalpoint_cache) {
|
||||||
|
strcpy((char *)decimalpoint_cache, (char *)s0);
|
||||||
|
s0 = decimalpoint_cache;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
decimalpoint = s0;
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
|
||||||
|
if (!hexdig['0'])
|
||||||
|
hexdig_init_D2A();
|
||||||
|
*bp = 0;
|
||||||
|
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])
|
||||||
|
havedig++;
|
||||||
|
else {
|
||||||
|
zret = 1;
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
for(i = 0; decimalpoint[i]; ++i) {
|
||||||
|
if (s[i] != decimalpoint[i])
|
||||||
|
goto pcheck;
|
||||||
|
}
|
||||||
|
decpt = s += i;
|
||||||
|
#else
|
||||||
|
if (*s != '.')
|
||||||
|
goto pcheck;
|
||||||
|
decpt = ++s;
|
||||||
|
#endif
|
||||||
|
if (!hexdig[*s])
|
||||||
|
goto pcheck;
|
||||||
|
while(*s == '0')
|
||||||
|
s++;
|
||||||
|
if (hexdig[*s])
|
||||||
|
zret = 0;
|
||||||
|
havedig = 1;
|
||||||
|
s0 = s;
|
||||||
|
}
|
||||||
|
while(hexdig[*s])
|
||||||
|
s++;
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
if (*s == *decimalpoint && !decpt) {
|
||||||
|
for(i = 1; decimalpoint[i]; ++i) {
|
||||||
|
if (s[i] != decimalpoint[i])
|
||||||
|
goto pcheck;
|
||||||
|
}
|
||||||
|
decpt = s += i;
|
||||||
|
#else
|
||||||
|
if (*s == '.' && !decpt) {
|
||||||
|
decpt = ++s;
|
||||||
|
#endif
|
||||||
|
while(hexdig[*s])
|
||||||
|
s++;
|
||||||
|
}/*}*/
|
||||||
|
if (decpt)
|
||||||
|
e = -(((Long)(s-decpt)) << 2);
|
||||||
|
pcheck:
|
||||||
|
s1 = s;
|
||||||
|
big = esign = 0;
|
||||||
|
switch(*s) {
|
||||||
|
case 'p':
|
||||||
|
case 'P':
|
||||||
|
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) {
|
||||||
|
if (e1 & 0xf8000000)
|
||||||
|
big = 1;
|
||||||
|
e1 = 10*e1 + n - 0x10;
|
||||||
|
}
|
||||||
|
if (esign)
|
||||||
|
e1 = -e1;
|
||||||
|
e += e1;
|
||||||
|
}
|
||||||
|
*sp = (char*)s;
|
||||||
|
if (!havedig)
|
||||||
|
*sp = (char*)s0 - 1;
|
||||||
|
if (zret)
|
||||||
|
return STRTOG_Zero;
|
||||||
|
if (big) {
|
||||||
|
if (esign) {
|
||||||
|
switch(fpi->rounding) {
|
||||||
|
case FPI_Round_up:
|
||||||
|
if (sign)
|
||||||
|
break;
|
||||||
|
goto ret_tiny;
|
||||||
|
case FPI_Round_down:
|
||||||
|
if (!sign)
|
||||||
|
break;
|
||||||
|
goto ret_tiny;
|
||||||
|
}
|
||||||
|
goto retz;
|
||||||
|
ret_tiny:
|
||||||
|
b = Balloc(0);
|
||||||
|
b->wds = 1;
|
||||||
|
b->x[0] = 1;
|
||||||
|
goto dret;
|
||||||
|
}
|
||||||
|
switch(fpi->rounding) {
|
||||||
|
case FPI_Round_near:
|
||||||
|
goto ovfl1;
|
||||||
|
case FPI_Round_up:
|
||||||
|
if (!sign)
|
||||||
|
goto ovfl1;
|
||||||
|
goto ret_big;
|
||||||
|
case FPI_Round_down:
|
||||||
|
if (sign)
|
||||||
|
goto ovfl1;
|
||||||
|
goto ret_big;
|
||||||
|
}
|
||||||
|
ret_big:
|
||||||
|
nbits = fpi->nbits;
|
||||||
|
n0 = n = nbits >> kshift;
|
||||||
|
if (nbits & kmask)
|
||||||
|
++n;
|
||||||
|
for(j = n, k = 0; j >>= 1; ++k);
|
||||||
|
*bp = b = Balloc(k);
|
||||||
|
b->wds = n;
|
||||||
|
for(j = 0; j < n0; ++j)
|
||||||
|
b->x[j] = ALL_ON;
|
||||||
|
if (n > n0)
|
||||||
|
b->x[j] = ULbits >> (ULbits - (nbits & kmask));
|
||||||
|
*expo = fpi->emin;
|
||||||
|
return STRTOG_Normal | STRTOG_Inexlo;
|
||||||
|
}
|
||||||
|
n = s1 - s0 - 1;
|
||||||
|
for(k = 0; n > (1 << (kshift-2)) - 1; n >>= 1)
|
||||||
|
k++;
|
||||||
|
b = Balloc(k);
|
||||||
|
x = b->x;
|
||||||
|
n = 0;
|
||||||
|
L = 0;
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
for(i = 0; decimalpoint[i+1]; ++i);
|
||||||
|
#endif
|
||||||
|
while(s1 > s0) {
|
||||||
|
#ifdef USE_LOCALE
|
||||||
|
if (*--s1 == decimalpoint[i]) {
|
||||||
|
s1 -= i;
|
||||||
|
continue;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
if (*--s1 == '.')
|
||||||
|
continue;
|
||||||
|
#endif
|
||||||
|
if (n == ULbits) {
|
||||||
|
*x++ = L;
|
||||||
|
L = 0;
|
||||||
|
n = 0;
|
||||||
|
}
|
||||||
|
L |= (hexdig[*s1] & 0x0f) << n;
|
||||||
|
n += 4;
|
||||||
|
}
|
||||||
|
*x++ = L;
|
||||||
|
b->wds = n = x - b->x;
|
||||||
|
n = ULbits*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 > 0 && any_on(b,k))
|
||||||
|
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);
|
||||||
|
ovfl1:
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
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:
|
||||||
|
x[0] = b->wds = 1;
|
||||||
|
dret:
|
||||||
|
*bp = b;
|
||||||
|
*expo = fpi->emin;
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
return STRTOG_Denormal | STRTOG_Inexhi
|
||||||
|
| STRTOG_Underflow;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
Bfree(b);
|
||||||
|
retz:
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
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 | 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;
|
||||||
|
*expo = e;
|
||||||
|
return irv;
|
||||||
|
}
|
|
@ -0,0 +1,76 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 rshift (Bigint *b, int k)
|
||||||
|
{
|
||||||
|
ULong *x, *x1, *xe, y;
|
||||||
|
int n;
|
||||||
|
|
||||||
|
x = x1 = b->x;
|
||||||
|
n = k >> kshift;
|
||||||
|
if (n < b->wds) {
|
||||||
|
xe = x + b->wds;
|
||||||
|
x += n;
|
||||||
|
if (k &= kmask) {
|
||||||
|
n = ULbits - k;
|
||||||
|
y = *x++ >> k;
|
||||||
|
while(x < xe) {
|
||||||
|
*x1++ = (y | (*x << n)) & ALL_ON;
|
||||||
|
y = *x++ >> k;
|
||||||
|
}
|
||||||
|
if ((*x1 = y) !=0)
|
||||||
|
x1++;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
while(x < xe)
|
||||||
|
*x1++ = *x++;
|
||||||
|
}
|
||||||
|
if ((b->wds = x1 - b->x) == 0)
|
||||||
|
b->x[0] = 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
int trailz (Bigint *b)
|
||||||
|
{
|
||||||
|
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;
|
||||||
|
}
|
|
@ -0,0 +1,49 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 htinit (unsigned char *h, unsigned char *s, int inc)
|
||||||
|
{
|
||||||
|
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);
|
||||||
|
}
|
|
@ -0,0 +1,139 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 L_shift (ULong *x, ULong *x1, int i)
|
||||||
|
{
|
||||||
|
int j;
|
||||||
|
|
||||||
|
i = 8 - i;
|
||||||
|
i <<= 2;
|
||||||
|
j = ULbits - i;
|
||||||
|
do {
|
||||||
|
*x |= x[1] << j;
|
||||||
|
x[1] >>= i;
|
||||||
|
} while(++x < x1);
|
||||||
|
}
|
||||||
|
|
||||||
|
int hexnan (const char **sp, FPI *fpi, ULong *x0)
|
||||||
|
{
|
||||||
|
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;
|
||||||
|
/* allow optional initial 0x or 0X */
|
||||||
|
while((c = *(const unsigned char*)(s+1)) && c <= ' ')
|
||||||
|
++s;
|
||||||
|
if (s[1] == '0' && (s[2] == 'x' || s[2] == 'X')
|
||||||
|
&& *(const unsigned char*)(s+3) > ' ')
|
||||||
|
s += 2;
|
||||||
|
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;
|
||||||
|
}
|
||||||
|
while(*(const unsigned char*)(s+1) <= ' ')
|
||||||
|
++s;
|
||||||
|
if (s[1] == '0' && (s[2] == 'x' || s[2] == 'X')
|
||||||
|
&& *(const unsigned char*)(s+3) > ' ')
|
||||||
|
s += 2;
|
||||||
|
continue;
|
||||||
|
}
|
||||||
|
if (/*(*/ c == ')' && havedig) {
|
||||||
|
*sp = s + 1;
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
#ifndef GDTOA_NON_PEDANTIC_NANCHECK
|
||||||
|
do {
|
||||||
|
if (/*(*/ c == ')') {
|
||||||
|
*sp = s + 1;
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
} while((c = *++s));
|
||||||
|
#endif
|
||||||
|
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;
|
||||||
|
}
|
|
@ -0,0 +1,860 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 "."). */
|
||||||
|
|
||||||
|
|
||||||
|
#if defined(__MINGW32__) || defined(__MINGW64__)
|
||||||
|
/* we have to include windows.h before gdtoa
|
||||||
|
headers, otherwise defines cause conflicts. */
|
||||||
|
#ifndef WIN32_LEAN_AND_MEAN
|
||||||
|
#define WIN32_LEAN_AND_MEAN
|
||||||
|
#endif
|
||||||
|
#include <windows.h>
|
||||||
|
|
||||||
|
#define NLOCKS 2
|
||||||
|
|
||||||
|
#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 /* USE_WIN32_SL */
|
||||||
|
|
||||||
|
#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 (void)
|
||||||
|
{
|
||||||
|
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 /* USE_WIN32_SL */
|
||||||
|
|
||||||
|
#endif /* __MINGW32__ / __MINGW64__ */
|
||||||
|
|
||||||
|
#include "gdtoaimp.h"
|
||||||
|
|
||||||
|
static Bigint *freelist[Kmax+1];
|
||||||
|
#ifndef Omit_Private_Memory
|
||||||
|
#ifndef PRIVATE_MEM
|
||||||
|
#define PRIVATE_MEM 2304
|
||||||
|
#endif
|
||||||
|
#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
|
||||||
|
static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
Bigint *Balloc (int k)
|
||||||
|
{
|
||||||
|
int x;
|
||||||
|
Bigint *rv;
|
||||||
|
#ifndef Omit_Private_Memory
|
||||||
|
unsigned int len;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
ACQUIRE_DTOA_LOCK(0);
|
||||||
|
/* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
|
||||||
|
/* but this case seems very unlikely. */
|
||||||
|
if (k <= Kmax && (rv = freelist[k]) !=0) {
|
||||||
|
freelist[k] = rv->next;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
x = 1 << k;
|
||||||
|
#ifdef Omit_Private_Memory
|
||||||
|
rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
|
||||||
|
if (rv == NULL)
|
||||||
|
return NULL;
|
||||||
|
#else
|
||||||
|
len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
|
||||||
|
/sizeof(double);
|
||||||
|
if (k <= Kmax
|
||||||
|
&& (size_t) (pmem_next - private_mem + len) <= PRIVATE_mem)
|
||||||
|
{
|
||||||
|
rv = (Bigint*)pmem_next;
|
||||||
|
pmem_next += len;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
rv = (Bigint*)MALLOC(len*sizeof(double));
|
||||||
|
if (rv == NULL)
|
||||||
|
return NULL;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
rv->k = k;
|
||||||
|
rv->maxwds = x;
|
||||||
|
}
|
||||||
|
FREE_DTOA_LOCK(0);
|
||||||
|
rv->sign = rv->wds = 0;
|
||||||
|
return rv;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Bfree (Bigint *v)
|
||||||
|
{
|
||||||
|
if (v) {
|
||||||
|
if (v->k > Kmax)
|
||||||
|
free((void*)v);
|
||||||
|
else {
|
||||||
|
ACQUIRE_DTOA_LOCK(0);
|
||||||
|
v->next = freelist[v->k];
|
||||||
|
freelist[v->k] = v;
|
||||||
|
FREE_DTOA_LOCK(0);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/* lo0bits(): Shift y so lowest bit is 1 and return the
|
||||||
|
* number of bits y was shifted.
|
||||||
|
* With GCC, we use an inline wrapper for __builtin_clz()
|
||||||
|
*/
|
||||||
|
#ifndef __GNUC__
|
||||||
|
int lo0bits (ULong *y)
|
||||||
|
{
|
||||||
|
int k;
|
||||||
|
ULong x = *y;
|
||||||
|
|
||||||
|
if (x & 7) {
|
||||||
|
if (x & 1)
|
||||||
|
return 0;
|
||||||
|
if (x & 2) {
|
||||||
|
*y = x >> 1;
|
||||||
|
return 1;
|
||||||
|
}
|
||||||
|
*y = x >> 2;
|
||||||
|
return 2;
|
||||||
|
}
|
||||||
|
k = 0;
|
||||||
|
if (!(x & 0xffff)) {
|
||||||
|
k = 16;
|
||||||
|
x >>= 16;
|
||||||
|
}
|
||||||
|
if (!(x & 0xff)) {
|
||||||
|
k += 8;
|
||||||
|
x >>= 8;
|
||||||
|
}
|
||||||
|
if (!(x & 0xf)) {
|
||||||
|
k += 4;
|
||||||
|
x >>= 4;
|
||||||
|
}
|
||||||
|
if (!(x & 0x3)) {
|
||||||
|
k += 2;
|
||||||
|
x >>= 2;
|
||||||
|
}
|
||||||
|
if (!(x & 1)) {
|
||||||
|
k++;
|
||||||
|
x >>= 1;
|
||||||
|
if (!x)
|
||||||
|
return 32;
|
||||||
|
}
|
||||||
|
*y = x;
|
||||||
|
return k;
|
||||||
|
}
|
||||||
|
#endif /* __GNUC__ */
|
||||||
|
|
||||||
|
Bigint *multadd (Bigint *b, int m, int a) /* multiply by m and add a */
|
||||||
|
{
|
||||||
|
int i, wds;
|
||||||
|
#ifdef ULLong
|
||||||
|
ULong *x;
|
||||||
|
ULLong carry, y;
|
||||||
|
#else
|
||||||
|
ULong carry, *x, y;
|
||||||
|
#ifdef Pack_32
|
||||||
|
ULong xi, z;
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
Bigint *b1;
|
||||||
|
|
||||||
|
wds = b->wds;
|
||||||
|
x = b->x;
|
||||||
|
i = 0;
|
||||||
|
carry = a;
|
||||||
|
do {
|
||||||
|
#ifdef ULLong
|
||||||
|
y = *x * (ULLong)m + carry;
|
||||||
|
carry = y >> 32;
|
||||||
|
*x++ = y & 0xffffffffUL;
|
||||||
|
#else
|
||||||
|
#ifdef Pack_32
|
||||||
|
xi = *x;
|
||||||
|
y = (xi & 0xffff) * m + carry;
|
||||||
|
z = (xi >> 16) * m + (y >> 16);
|
||||||
|
carry = z >> 16;
|
||||||
|
*x++ = (z << 16) + (y & 0xffff);
|
||||||
|
#else
|
||||||
|
y = *x * m + carry;
|
||||||
|
carry = y >> 16;
|
||||||
|
*x++ = y & 0xffff;
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
} while(++i < wds);
|
||||||
|
if (carry) {
|
||||||
|
if (wds >= b->maxwds) {
|
||||||
|
b1 = Balloc(b->k+1);
|
||||||
|
if (b1 == NULL)
|
||||||
|
return NULL;
|
||||||
|
Bcopy(b1, b);
|
||||||
|
Bfree(b);
|
||||||
|
b = b1;
|
||||||
|
}
|
||||||
|
b->x[wds++] = carry;
|
||||||
|
b->wds = wds;
|
||||||
|
}
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* hi0bits();
|
||||||
|
* With GCC, we use an inline wrapper for __builtin_clz()
|
||||||
|
*/
|
||||||
|
#ifndef __GNUC__
|
||||||
|
int hi0bits_D2A (ULong x)
|
||||||
|
{
|
||||||
|
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 /* __GNUC__ */
|
||||||
|
|
||||||
|
Bigint *i2b (int i)
|
||||||
|
{
|
||||||
|
Bigint *b;
|
||||||
|
|
||||||
|
b = Balloc(1);
|
||||||
|
if (b == NULL)
|
||||||
|
return NULL;
|
||||||
|
b->x[0] = i;
|
||||||
|
b->wds = 1;
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
|
||||||
|
Bigint *mult (Bigint *a, Bigint *b)
|
||||||
|
{
|
||||||
|
Bigint *c;
|
||||||
|
int k, wa, wb, wc;
|
||||||
|
ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
|
||||||
|
ULong y;
|
||||||
|
#ifdef ULLong
|
||||||
|
ULLong carry, z;
|
||||||
|
#else
|
||||||
|
ULong carry, z;
|
||||||
|
#ifdef Pack_32
|
||||||
|
ULong z2;
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
|
||||||
|
if (a->wds < b->wds) {
|
||||||
|
c = a;
|
||||||
|
a = b;
|
||||||
|
b = c;
|
||||||
|
}
|
||||||
|
k = a->k;
|
||||||
|
wa = a->wds;
|
||||||
|
wb = b->wds;
|
||||||
|
wc = wa + wb;
|
||||||
|
if (wc > a->maxwds)
|
||||||
|
k++;
|
||||||
|
c = Balloc(k);
|
||||||
|
if (c == NULL)
|
||||||
|
return NULL;
|
||||||
|
for(x = c->x, xa = x + wc; x < xa; x++)
|
||||||
|
*x = 0;
|
||||||
|
xa = a->x;
|
||||||
|
xae = xa + wa;
|
||||||
|
xb = b->x;
|
||||||
|
xbe = xb + wb;
|
||||||
|
xc0 = c->x;
|
||||||
|
#ifdef ULLong
|
||||||
|
for(; xb < xbe; xc0++) {
|
||||||
|
if ( (y = *xb++) !=0) {
|
||||||
|
x = xa;
|
||||||
|
xc = xc0;
|
||||||
|
carry = 0;
|
||||||
|
do {
|
||||||
|
z = *x++ * (ULLong)y + *xc + carry;
|
||||||
|
carry = z >> 32;
|
||||||
|
*xc++ = z & 0xffffffffUL;
|
||||||
|
} while(x < xae);
|
||||||
|
*xc = carry;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
#ifdef Pack_32
|
||||||
|
for(; xb < xbe; xb++, xc0++) {
|
||||||
|
if ( (y = *xb & 0xffff) !=0) {
|
||||||
|
x = xa;
|
||||||
|
xc = xc0;
|
||||||
|
carry = 0;
|
||||||
|
do {
|
||||||
|
z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
|
||||||
|
carry = z >> 16;
|
||||||
|
z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
|
||||||
|
carry = z2 >> 16;
|
||||||
|
Storeinc(xc, z2, z);
|
||||||
|
} while(x < xae);
|
||||||
|
*xc = carry;
|
||||||
|
}
|
||||||
|
if ( (y = *xb >> 16) !=0) {
|
||||||
|
x = xa;
|
||||||
|
xc = xc0;
|
||||||
|
carry = 0;
|
||||||
|
z2 = *xc;
|
||||||
|
do {
|
||||||
|
z = (*x & 0xffff) * y + (*xc >> 16) + carry;
|
||||||
|
carry = z >> 16;
|
||||||
|
Storeinc(xc, z, z2);
|
||||||
|
z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
|
||||||
|
carry = z2 >> 16;
|
||||||
|
} while(x < xae);
|
||||||
|
*xc = z2;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
for(; xb < xbe; xc0++) {
|
||||||
|
if ( (y = *xb++) !=0) {
|
||||||
|
x = xa;
|
||||||
|
xc = xc0;
|
||||||
|
carry = 0;
|
||||||
|
do {
|
||||||
|
z = *x++ * y + *xc + carry;
|
||||||
|
carry = z >> 16;
|
||||||
|
*xc++ = z & 0xffff;
|
||||||
|
} while(x < xae);
|
||||||
|
*xc = carry;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
|
||||||
|
c->wds = wc;
|
||||||
|
return c;
|
||||||
|
}
|
||||||
|
|
||||||
|
static Bigint *p5s;
|
||||||
|
|
||||||
|
Bigint *pow5mult (Bigint *b, int k)
|
||||||
|
{
|
||||||
|
Bigint *b1, *p5, *p51;
|
||||||
|
int i;
|
||||||
|
static int p05[3] = { 5, 25, 125 };
|
||||||
|
|
||||||
|
if ( (i = k & 3) !=0)
|
||||||
|
{
|
||||||
|
b = multadd(b, p05[i-1], 0);
|
||||||
|
if (b == NULL)
|
||||||
|
return NULL;
|
||||||
|
}
|
||||||
|
if (!(k >>= 2))
|
||||||
|
return b;
|
||||||
|
if ((p5 = p5s) == 0) {
|
||||||
|
/* first time */
|
||||||
|
#ifdef MULTIPLE_THREADS
|
||||||
|
ACQUIRE_DTOA_LOCK(1);
|
||||||
|
if (!(p5 = p5s)) {
|
||||||
|
p5 = p5s = i2b(625);
|
||||||
|
if (p5 == NULL)
|
||||||
|
return NULL;
|
||||||
|
p5->next = 0;
|
||||||
|
}
|
||||||
|
FREE_DTOA_LOCK(1);
|
||||||
|
#else
|
||||||
|
p5 = p5s = i2b(625);
|
||||||
|
if (p5 == NULL)
|
||||||
|
return NULL;
|
||||||
|
p5->next = 0;
|
||||||
|
#endif
|
||||||
|
}
|
||||||
|
for(;;) {
|
||||||
|
if (k & 1) {
|
||||||
|
b1 = mult(b, p5);
|
||||||
|
if (b1 == NULL)
|
||||||
|
return NULL;
|
||||||
|
Bfree(b);
|
||||||
|
b = b1;
|
||||||
|
}
|
||||||
|
if (!(k >>= 1))
|
||||||
|
break;
|
||||||
|
if ((p51 = p5->next) == 0) {
|
||||||
|
#ifdef MULTIPLE_THREADS
|
||||||
|
ACQUIRE_DTOA_LOCK(1);
|
||||||
|
if (!(p51 = p5->next)) {
|
||||||
|
p51 = p5->next = mult(p5,p5);
|
||||||
|
if (p51 == NULL)
|
||||||
|
return NULL;
|
||||||
|
p51->next = 0;
|
||||||
|
}
|
||||||
|
FREE_DTOA_LOCK(1);
|
||||||
|
#else
|
||||||
|
p51 = p5->next = mult(p5,p5);
|
||||||
|
if (p51 == NULL)
|
||||||
|
return NULL;
|
||||||
|
p51->next = 0;
|
||||||
|
#endif
|
||||||
|
}
|
||||||
|
p5 = p51;
|
||||||
|
}
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
|
||||||
|
Bigint *lshift (Bigint *b, int k)
|
||||||
|
{
|
||||||
|
int i, k1, n, n1;
|
||||||
|
Bigint *b1;
|
||||||
|
ULong *x, *x1, *xe, z;
|
||||||
|
|
||||||
|
n = k >> kshift;
|
||||||
|
k1 = b->k;
|
||||||
|
n1 = n + b->wds + 1;
|
||||||
|
for(i = b->maxwds; n1 > i; i <<= 1)
|
||||||
|
k1++;
|
||||||
|
b1 = Balloc(k1);
|
||||||
|
if (b1 == NULL)
|
||||||
|
return NULL;
|
||||||
|
x1 = b1->x;
|
||||||
|
for(i = 0; i < n; i++)
|
||||||
|
*x1++ = 0;
|
||||||
|
x = b->x;
|
||||||
|
xe = x + b->wds;
|
||||||
|
if (k &= kmask) {
|
||||||
|
#ifdef Pack_32
|
||||||
|
k1 = 32 - k;
|
||||||
|
z = 0;
|
||||||
|
do {
|
||||||
|
*x1++ = *x << k | z;
|
||||||
|
z = *x++ >> k1;
|
||||||
|
} while(x < xe);
|
||||||
|
if ((*x1 = z) !=0)
|
||||||
|
++n1;
|
||||||
|
#else
|
||||||
|
k1 = 16 - k;
|
||||||
|
z = 0;
|
||||||
|
do {
|
||||||
|
*x1++ = *x << k & 0xffff | z;
|
||||||
|
z = *x++ >> k1;
|
||||||
|
} while(x < xe);
|
||||||
|
if (*x1 = z)
|
||||||
|
++n1;
|
||||||
|
#endif
|
||||||
|
}
|
||||||
|
else do
|
||||||
|
*x1++ = *x++;
|
||||||
|
while(x < xe);
|
||||||
|
b1->wds = n1 - 1;
|
||||||
|
Bfree(b);
|
||||||
|
return b1;
|
||||||
|
}
|
||||||
|
|
||||||
|
int cmp (Bigint *a, Bigint *b)
|
||||||
|
{
|
||||||
|
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 (Bigint *a, Bigint *b)
|
||||||
|
{
|
||||||
|
Bigint *c;
|
||||||
|
int i, wa, wb;
|
||||||
|
ULong *xa, *xae, *xb, *xbe, *xc;
|
||||||
|
#ifdef ULLong
|
||||||
|
ULLong borrow, y;
|
||||||
|
#else
|
||||||
|
ULong borrow, y;
|
||||||
|
#ifdef Pack_32
|
||||||
|
ULong z;
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
|
||||||
|
i = cmp(a,b);
|
||||||
|
if (!i) {
|
||||||
|
c = Balloc(0);
|
||||||
|
if (c == NULL)
|
||||||
|
return NULL;
|
||||||
|
c->wds = 1;
|
||||||
|
c->x[0] = 0;
|
||||||
|
return c;
|
||||||
|
}
|
||||||
|
if (i < 0) {
|
||||||
|
c = a;
|
||||||
|
a = b;
|
||||||
|
b = c;
|
||||||
|
i = 1;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
i = 0;
|
||||||
|
c = Balloc(a->k);
|
||||||
|
if (c == NULL)
|
||||||
|
return NULL;
|
||||||
|
c->sign = i;
|
||||||
|
wa = a->wds;
|
||||||
|
xa = a->x;
|
||||||
|
xae = xa + wa;
|
||||||
|
wb = b->wds;
|
||||||
|
xb = b->x;
|
||||||
|
xbe = xb + wb;
|
||||||
|
xc = c->x;
|
||||||
|
borrow = 0;
|
||||||
|
#ifdef ULLong
|
||||||
|
do {
|
||||||
|
y = (ULLong)*xa++ - *xb++ - borrow;
|
||||||
|
borrow = y >> 32 & 1UL;
|
||||||
|
*xc++ = y & 0xffffffffUL;
|
||||||
|
} while(xb < xbe);
|
||||||
|
while(xa < xae) {
|
||||||
|
y = *xa++ - borrow;
|
||||||
|
borrow = y >> 32 & 1UL;
|
||||||
|
*xc++ = y & 0xffffffffUL;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
#ifdef Pack_32
|
||||||
|
do {
|
||||||
|
y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;
|
||||||
|
borrow = (y & 0x10000) >> 16;
|
||||||
|
z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
|
||||||
|
borrow = (z & 0x10000) >> 16;
|
||||||
|
Storeinc(xc, z, y);
|
||||||
|
} while(xb < xbe);
|
||||||
|
while(xa < xae) {
|
||||||
|
y = (*xa & 0xffff) - borrow;
|
||||||
|
borrow = (y & 0x10000) >> 16;
|
||||||
|
z = (*xa++ >> 16) - borrow;
|
||||||
|
borrow = (z & 0x10000) >> 16;
|
||||||
|
Storeinc(xc, z, y);
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
do {
|
||||||
|
y = *xa++ - *xb++ - borrow;
|
||||||
|
borrow = (y & 0x10000) >> 16;
|
||||||
|
*xc++ = y & 0xffff;
|
||||||
|
} while(xb < xbe);
|
||||||
|
while(xa < xae) {
|
||||||
|
y = *xa++ - borrow;
|
||||||
|
borrow = (y & 0x10000) >> 16;
|
||||||
|
*xc++ = y & 0xffff;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
#endif
|
||||||
|
while(!*--xc)
|
||||||
|
wa--;
|
||||||
|
c->wds = wa;
|
||||||
|
return c;
|
||||||
|
}
|
||||||
|
|
||||||
|
double b2d (Bigint *a, int *e)
|
||||||
|
{
|
||||||
|
ULong *xa, *xa0, w, y, z;
|
||||||
|
int k;
|
||||||
|
union _dbl_union d;
|
||||||
|
#define d0 word0(&d)
|
||||||
|
#define d1 word1(&d)
|
||||||
|
|
||||||
|
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:
|
||||||
|
return dval(&d);
|
||||||
|
#undef d0
|
||||||
|
#undef d1
|
||||||
|
}
|
||||||
|
|
||||||
|
Bigint *d2b (double dd, int *e, int *bits)
|
||||||
|
{
|
||||||
|
Bigint *b;
|
||||||
|
union _dbl_union d;
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
int i;
|
||||||
|
#endif
|
||||||
|
int de, k;
|
||||||
|
ULong *x, y, z;
|
||||||
|
#define d0 word0(&d)
|
||||||
|
#define d1 word1(&d)
|
||||||
|
d.d = dd;
|
||||||
|
|
||||||
|
#ifdef Pack_32
|
||||||
|
b = Balloc(1);
|
||||||
|
#else
|
||||||
|
b = Balloc(2);
|
||||||
|
#endif
|
||||||
|
if (b == NULL)
|
||||||
|
return NULL;
|
||||||
|
x = b->x;
|
||||||
|
|
||||||
|
z = d0 & Frac_mask;
|
||||||
|
d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
|
||||||
|
#ifdef Sudden_Underflow
|
||||||
|
de = (int)(d0 >> Exp_shift);
|
||||||
|
z |= Exp_msk11;
|
||||||
|
#else
|
||||||
|
if ( (de = (int)(d0 >> Exp_shift)) !=0)
|
||||||
|
z |= Exp_msk1;
|
||||||
|
#endif
|
||||||
|
#ifdef Pack_32
|
||||||
|
if ( (y = d1) !=0) {
|
||||||
|
if ( (k = lo0bits(&y)) !=0) {
|
||||||
|
x[0] = y | z << (32 - k);
|
||||||
|
z >>= k;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
x[0] = y;
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
i =
|
||||||
|
#endif
|
||||||
|
b->wds = (x[1] = z) !=0 ? 2 : 1;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
k = lo0bits(&z);
|
||||||
|
x[0] = z;
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
i =
|
||||||
|
#endif
|
||||||
|
b->wds = 1;
|
||||||
|
k += 32;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
if ( (y = d1) !=0) {
|
||||||
|
if ( (k = lo0bits(&y)) !=0)
|
||||||
|
if (k >= 16) {
|
||||||
|
x[0] = y | z << 32 - k & 0xffff;
|
||||||
|
x[1] = z >> k - 16 & 0xffff;
|
||||||
|
x[2] = z >> k;
|
||||||
|
i = 2;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
x[0] = y & 0xffff;
|
||||||
|
x[1] = y >> 16 | z << 16 - k & 0xffff;
|
||||||
|
x[2] = z >> k & 0xffff;
|
||||||
|
x[3] = z >> k+16;
|
||||||
|
i = 3;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
x[0] = y & 0xffff;
|
||||||
|
x[1] = y >> 16;
|
||||||
|
x[2] = z & 0xffff;
|
||||||
|
x[3] = z >> 16;
|
||||||
|
i = 3;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
#ifdef DEBUG
|
||||||
|
if (!z)
|
||||||
|
Bug("Zero passed to d2b");
|
||||||
|
#endif
|
||||||
|
k = lo0bits(&z);
|
||||||
|
if (k >= 16) {
|
||||||
|
x[0] = z;
|
||||||
|
i = 0;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
x[0] = z & 0xffff;
|
||||||
|
x[1] = z >> 16;
|
||||||
|
i = 1;
|
||||||
|
}
|
||||||
|
k += 32;
|
||||||
|
}
|
||||||
|
while(!x[i])
|
||||||
|
--i;
|
||||||
|
b->wds = i + 1;
|
||||||
|
#endif
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
if (de) {
|
||||||
|
#endif
|
||||||
|
*e = de - Bias - (P-1) + k;
|
||||||
|
*bits = P - k;
|
||||||
|
#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
|
||||||
|
bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
|
||||||
|
const double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 };
|
||||||
|
|
||||||
|
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
|
||||||
|
};
|
||||||
|
|
||||||
|
char *strcp_D2A (char *a, const char *b)
|
||||||
|
{
|
||||||
|
while((*a = *b++))
|
||||||
|
a++;
|
||||||
|
return a;
|
||||||
|
}
|
||||||
|
|
||||||
|
#ifdef NO_STRING_H
|
||||||
|
void *memcpy_D2A (void *a1, void *b1, size_t len)
|
||||||
|
{
|
||||||
|
char *a = (char*)a1, *ae = a + len;
|
||||||
|
char *b = (char*)b1, *a0 = a;
|
||||||
|
while(a < ae)
|
||||||
|
*a++ = *b++;
|
||||||
|
return a0;
|
||||||
|
}
|
||||||
|
#endif /* NO_STRING_H */
|
||||||
|
|
|
@ -0,0 +1,116 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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)
|
||||||
|
|
||||||
|
#ifdef MINGW_BUILD_GEN
|
||||||
|
int
|
||||||
|
main(void)
|
||||||
|
{
|
||||||
|
#ifdef HAVE_IEEE
|
||||||
|
typedef union {
|
||||||
|
float f;
|
||||||
|
double d;
|
||||||
|
Ulong L[4];
|
||||||
|
#ifndef NO_LONG_LONG
|
||||||
|
/* need u[8] instead of u[5] for 64 bit */
|
||||||
|
unsigned short u[8];
|
||||||
|
long double D;
|
||||||
|
#endif
|
||||||
|
} U;
|
||||||
|
U a, b, c;
|
||||||
|
int i;
|
||||||
|
a.L[0]=a.L[1]=a.L[2]=a.L[3]=0;
|
||||||
|
b.L[0]=b.L[1]=b.L[2]=b.L[3]=0;
|
||||||
|
c.L[0]=c.L[1]=c.L[2]=c.L[3]=0;
|
||||||
|
|
||||||
|
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;
|
||||||
|
}
|
||||||
|
#endif
|
|
@ -0,0 +1,149 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 (const char *s, int nd0, int nd, ULong y9, int dplen)
|
||||||
|
{
|
||||||
|
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 += dplen;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
s += dplen + 9;
|
||||||
|
for(; i < nd; i++)
|
||||||
|
b = multadd(b, 10, *s++ - '0');
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
|
||||||
|
double ratio (Bigint *a, Bigint *b)
|
||||||
|
{
|
||||||
|
union _dbl_union da, db;
|
||||||
|
int k, ka, kb;
|
||||||
|
|
||||||
|
dval(&da) = b2d(a, &ka);
|
||||||
|
dval(&db) = b2d(b, &kb);
|
||||||
|
k = ka - kb + ULbits*(a->wds - b->wds);
|
||||||
|
if (k > 0)
|
||||||
|
word0(&da) += k*Exp_msk1;
|
||||||
|
else {
|
||||||
|
k = -k;
|
||||||
|
word0(&db) += k*Exp_msk1;
|
||||||
|
}
|
||||||
|
return dval(&da) / dval(&db);
|
||||||
|
}
|
||||||
|
|
||||||
|
#ifdef INFNAN_CHECK
|
||||||
|
|
||||||
|
int match (const char **sp, char *t)
|
||||||
|
{
|
||||||
|
int c, d;
|
||||||
|
const char *s = *sp;
|
||||||
|
|
||||||
|
while( (d = *t++) !=0) {
|
||||||
|
if ((c = *++s) >= 'A' && c <= 'Z')
|
||||||
|
c += 'a' - 'A';
|
||||||
|
if (c != d)
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
|
*sp = s + 1;
|
||||||
|
return 1;
|
||||||
|
}
|
||||||
|
#endif /* INFNAN_CHECK */
|
||||||
|
|
||||||
|
void copybits (ULong *c, int n, Bigint *b)
|
||||||
|
{
|
||||||
|
ULong *ce, *x, *xe;
|
||||||
|
#ifdef Pack_16
|
||||||
|
int nw, nw1;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
ce = c + ((n-1) >> kshift) + 1;
|
||||||
|
x = b->x;
|
||||||
|
#ifdef Pack_32
|
||||||
|
xe = x + b->wds;
|
||||||
|
while(x < xe)
|
||||||
|
*c++ = *x++;
|
||||||
|
#else
|
||||||
|
nw = b->wds;
|
||||||
|
nw1 = nw & 1;
|
||||||
|
for(xe = x + (nw - nw1); x < xe; x += 2)
|
||||||
|
Storeinc(c, x[1], x[0]);
|
||||||
|
if (nw1)
|
||||||
|
*c++ = *x;
|
||||||
|
#endif
|
||||||
|
while(c < ce)
|
||||||
|
*c++ = 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
ULong any_on (Bigint *b, int k)
|
||||||
|
{
|
||||||
|
int n, nwds;
|
||||||
|
ULong *x, *x0, x1, x2;
|
||||||
|
|
||||||
|
x = b->x;
|
||||||
|
nwds = b->wds;
|
||||||
|
n = k >> kshift;
|
||||||
|
if (n > nwds)
|
||||||
|
n = nwds;
|
||||||
|
else if (n < nwds && (k &= kmask)) {
|
||||||
|
x1 = x2 = x[n];
|
||||||
|
x1 >>= k;
|
||||||
|
x1 <<= k;
|
||||||
|
if (x1 != x2)
|
||||||
|
return 1;
|
||||||
|
}
|
||||||
|
x0 = x;
|
||||||
|
x += n;
|
||||||
|
while(x > x0)
|
||||||
|
if (*--x)
|
||||||
|
return 1;
|
||||||
|
return 0;
|
||||||
|
}
|
|
@ -0,0 +1,979 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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
|
||||||
|
};
|
||||||
|
|
||||||
|
Bigint *increment (Bigint *b)
|
||||||
|
{
|
||||||
|
ULong *x, *xe;
|
||||||
|
Bigint *b1;
|
||||||
|
#ifdef Pack_16
|
||||||
|
ULong carry = 1, y;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
x = b->x;
|
||||||
|
xe = x + b->wds;
|
||||||
|
#ifdef Pack_32
|
||||||
|
do {
|
||||||
|
if (*x < (ULong)0xffffffffL) {
|
||||||
|
++*x;
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
*x++ = 0;
|
||||||
|
} while(x < xe);
|
||||||
|
#else
|
||||||
|
do {
|
||||||
|
y = *x + carry;
|
||||||
|
carry = y >> 16;
|
||||||
|
*x++ = y & 0xffff;
|
||||||
|
if (!carry)
|
||||||
|
return b;
|
||||||
|
} while(x < xe);
|
||||||
|
if (carry)
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
if (b->wds >= b->maxwds) {
|
||||||
|
b1 = Balloc(b->k+1);
|
||||||
|
Bcopy(b1,b);
|
||||||
|
Bfree(b);
|
||||||
|
b = b1;
|
||||||
|
}
|
||||||
|
b->x[b->wds++] = 1;
|
||||||
|
}
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
|
||||||
|
void decrement (Bigint *b)
|
||||||
|
{
|
||||||
|
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
|
||||||
|
}
|
||||||
|
|
||||||
|
static int all_on (Bigint *b, int n)
|
||||||
|
{
|
||||||
|
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 *set_ones (Bigint *b, int n)
|
||||||
|
{
|
||||||
|
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 (dbl_union *d, FPI *fpi, Long *expo, ULong *bits,
|
||||||
|
int exact, int rd, int *irv)
|
||||||
|
{
|
||||||
|
Bigint *b;
|
||||||
|
ULong carry, inex, lostbits;
|
||||||
|
int bdif, e, j, k, k1, nb, rv;
|
||||||
|
|
||||||
|
carry = rv = 0;
|
||||||
|
b = d2b(dval(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: /* round down (toward -Infinity) */
|
||||||
|
goto trunc;
|
||||||
|
case 2: /* round up (toward +Infinity) */
|
||||||
|
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;
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
b->wds = inex = 0;
|
||||||
|
}
|
||||||
|
*expo = e;
|
||||||
|
copybits(bits, nb, b);
|
||||||
|
*irv |= inex;
|
||||||
|
rv = 1;
|
||||||
|
ret:
|
||||||
|
Bfree(b);
|
||||||
|
return rv;
|
||||||
|
}
|
||||||
|
|
||||||
|
static int mantbits (dbl_union *d)
|
||||||
|
{
|
||||||
|
ULong L;
|
||||||
|
if ( (L = word1(d)) !=0)
|
||||||
|
return P - lo0bits(&L);
|
||||||
|
L = word0(d) | Exp_msk1;
|
||||||
|
return P - 32 - lo0bits(&L);
|
||||||
|
}
|
||||||
|
|
||||||
|
int __strtodg (const char *s00, char **se, FPI *fpi, Long *expo, ULong *bits)
|
||||||
|
{
|
||||||
|
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 adj0, tol;
|
||||||
|
Long L;
|
||||||
|
union _dbl_union adj, rv;
|
||||||
|
ULong *b, *be, y, z;
|
||||||
|
Bigint *ab, *bb, *bb1, *bd, *bd0, *bs, *delta, *rvb, *rvb0;
|
||||||
|
#ifdef USE_LOCALE /*{{*/
|
||||||
|
#ifdef NO_LOCALE_CACHE
|
||||||
|
char *decimalpoint = localeconv()->decimal_point;
|
||||||
|
int dplen = strlen(decimalpoint);
|
||||||
|
#else
|
||||||
|
char *decimalpoint;
|
||||||
|
static char *decimalpoint_cache;
|
||||||
|
static int dplen;
|
||||||
|
if (!(s0 = decimalpoint_cache)) {
|
||||||
|
s0 = localeconv()->decimal_point;
|
||||||
|
if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) {
|
||||||
|
strcpy(decimalpoint_cache, s0);
|
||||||
|
s0 = decimalpoint_cache;
|
||||||
|
}
|
||||||
|
dplen = strlen(s0);
|
||||||
|
}
|
||||||
|
decimalpoint = (char*)s0;
|
||||||
|
#endif /*NO_LOCALE_CACHE*/
|
||||||
|
#else /*USE_LOCALE}{*/
|
||||||
|
#define dplen 1
|
||||||
|
#endif /*USE_LOCALE}}*/
|
||||||
|
|
||||||
|
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, expo, &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 == *decimalpoint) {
|
||||||
|
for(i = 1; decimalpoint[i]; ++i)
|
||||||
|
if (s[i] != decimalpoint[i])
|
||||||
|
goto dig_done;
|
||||||
|
s += i;
|
||||||
|
c = *s;
|
||||||
|
#else
|
||||||
|
if (c == '.') {
|
||||||
|
c = *++s;
|
||||||
|
#endif
|
||||||
|
decpt = 1;
|
||||||
|
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;
|
||||||
|
*expo = 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(&rv, fpi, expo, bits, 1, rd, &irv))
|
||||||
|
goto ret;
|
||||||
|
}
|
||||||
|
else if (e > 0) {
|
||||||
|
if (e <= Ten_pmax) {
|
||||||
|
i = fivesbits[e] + mantbits(&rv) <= P;
|
||||||
|
/* rv = */ rounded_product(dval(&rv), tens[e]);
|
||||||
|
if (rvOK(&rv, fpi, expo, bits, i, rd, &irv))
|
||||||
|
goto ret;
|
||||||
|
e1 -= e;
|
||||||
|
goto rv_notOK;
|
||||||
|
}
|
||||||
|
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];
|
||||||
|
/* rv = */ rounded_product(dval(&rv), tens[e2]);
|
||||||
|
if (rvOK(&rv, fpi, expo, 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(&rv, fpi, expo, 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];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
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;
|
||||||
|
*expo = 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, dplen);
|
||||||
|
|
||||||
|
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);
|
||||||
|
j = kmask & (ULbits - (rvbits & kmask));
|
||||||
|
if (hi0bits(rvb->x[rvb->wds - 1]) != 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(&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;
|
||||||
|
}
|
||||||
|
*expo = rve;
|
||||||
|
Bfree(bb);
|
||||||
|
Bfree(bd);
|
||||||
|
Bfree(bs);
|
||||||
|
Bfree(bd0);
|
||||||
|
Bfree(delta);
|
||||||
|
if (rve > fpi->emax) {
|
||||||
|
switch(fpi->rounding & 3) {
|
||||||
|
case FPI_Round_near:
|
||||||
|
goto huge;
|
||||||
|
case FPI_Round_up:
|
||||||
|
if (!sign)
|
||||||
|
goto huge;
|
||||||
|
break;
|
||||||
|
case FPI_Round_down:
|
||||||
|
if (sign)
|
||||||
|
goto huge;
|
||||||
|
}
|
||||||
|
/* Round to largest representable magnitude */
|
||||||
|
Bfree(rvb);
|
||||||
|
rvb = 0;
|
||||||
|
irv = STRTOG_Normal | STRTOG_Inexlo;
|
||||||
|
*expo = fpi->emax;
|
||||||
|
b = bits;
|
||||||
|
be = b + ((fpi->nbits + 31) >> 5);
|
||||||
|
while(b < be)
|
||||||
|
*b++ = -1;
|
||||||
|
if ((j = fpi->nbits & 0x1f))
|
||||||
|
*--be >>= (32 - j);
|
||||||
|
goto ret;
|
||||||
|
huge:
|
||||||
|
rvb->wds = 0;
|
||||||
|
irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi;
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
infnanexp:
|
||||||
|
*expo = fpi->emax + 1;
|
||||||
|
}
|
||||||
|
ret:
|
||||||
|
if (denorm) {
|
||||||
|
if (sudden_underflow) {
|
||||||
|
rvb->wds = 0;
|
||||||
|
irv = STRTOG_Underflow | STRTOG_Inexlo;
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
irv = (irv & ~STRTOG_Retmask) |
|
||||||
|
(rvb->wds > 0 ? STRTOG_Denormal : STRTOG_Zero);
|
||||||
|
if (irv & STRTOG_Inexact) {
|
||||||
|
irv |= STRTOG_Underflow;
|
||||||
|
SET_ERRNO(ERANGE);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (se)
|
||||||
|
*se = (char *)s;
|
||||||
|
if (sign)
|
||||||
|
irv |= STRTOG_Neg;
|
||||||
|
if (rvb) {
|
||||||
|
copybits(bits, nbits, rvb);
|
||||||
|
Bfree(rvb);
|
||||||
|
}
|
||||||
|
return irv;
|
||||||
|
}
|
|
@ -0,0 +1,77 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 __evil_strtof (const char *s, char **sp)
|
||||||
|
{
|
||||||
|
static FPI fpi0 = { 24, 1-127-24+1, 254-127-24+1, 1, SI, Int_max };
|
||||||
|
ULong bits[1];
|
||||||
|
Long expo;
|
||||||
|
int k;
|
||||||
|
union { ULong L[1]; float f; } u = { { 0 } };
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#include "gdtoa_fltrnds.h"
|
||||||
|
#else
|
||||||
|
#define fpi &fpi0
|
||||||
|
#endif
|
||||||
|
|
||||||
|
k = __strtodg(s, sp, fpi, &expo, 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) | ((expo + 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 */
|
||||||
|
/* __evil_strtof (const char * __restrict__ src, char ** __restrict__ endptr) */
|
||||||
|
/* __attribute__((alias("__strtof"))); */
|
|
@ -0,0 +1,119 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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
|
||||||
|
|
||||||
|
typedef union lD {
|
||||||
|
UShort L[5];
|
||||||
|
long double D;
|
||||||
|
} lD;
|
||||||
|
|
||||||
|
static int __strtopx (const char *s, char **sp, lD *V)
|
||||||
|
{
|
||||||
|
static FPI fpi0 = { 64, 1-16383-64+1, 32766 - 16383 - 64 + 1, 1, SI, Int_max };
|
||||||
|
ULong bits[2];
|
||||||
|
Long expo;
|
||||||
|
int k;
|
||||||
|
UShort *L = & (V->L[0]);
|
||||||
|
#ifdef Honor_FLT_ROUNDS
|
||||||
|
#include "gdtoa_fltrnds.h"
|
||||||
|
#else
|
||||||
|
#define fpi &fpi0
|
||||||
|
#endif
|
||||||
|
V->D = 0.0L;
|
||||||
|
|
||||||
|
k = __strtodg(s, sp, fpi, &expo, 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] = expo + 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] = 0x8000;
|
||||||
|
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
|
||||||
|
__evil_strtold (const char * __restrict__ src, char ** __restrict__ endptr)
|
||||||
|
{
|
||||||
|
lD ret;
|
||||||
|
ret.D = 0.0L;
|
||||||
|
__strtopx(src, endptr, &ret);
|
||||||
|
return ret.D;
|
||||||
|
}
|
|
@ -0,0 +1,91 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 *sum (Bigint *a, Bigint *b)
|
||||||
|
{
|
||||||
|
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;
|
||||||
|
}
|
|
@ -0,0 +1,61 @@
|
||||||
|
/****************************************************************
|
||||||
|
|
||||||
|
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 (dbl_union *x)
|
||||||
|
{
|
||||||
|
Long L;
|
||||||
|
union _dbl_union a;
|
||||||
|
|
||||||
|
L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
|
||||||
|
#ifndef Sudden_Underflow
|
||||||
|
if (L > 0) {
|
||||||
|
#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 dval(&a);
|
||||||
|
}
|
Loading…
Reference in New Issue