* 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:
Vincent Torri 2012-02-23 06:10:36 +00:00
parent c29416e0d8
commit 0a42091076
34 changed files with 6645 additions and 51 deletions

View File

@ -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>
* src/bin/evil_test_gettimeofday.c:

View File

@ -139,6 +139,7 @@ src/Makefile
src/bin/Makefile
src/lib/Makefile
src/lib/dlfcn/Makefile
src/lib/gdtoa/Makefile
])
AC_OUTPUT

View File

@ -1,7 +1,7 @@
MAINTAINERCLEANFILES = Makefile.in
SUBDIRS = . dlfcn
SUBDIRS = gdtoa . dlfcn
lib_LTLIBRARIES = libevil.la
@ -71,7 +71,7 @@ endif
libevil_la_CPPFLAGS = @win32_cppflags@
libevil_la_CFLAGS = @win32_cflags@
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@
if EVIL_HAVE_WINCE

View File

@ -82,6 +82,7 @@
#endif /* !defined _VALUES_H -- end of file */
#include "evil_pformat.h"
#include "gdtoa/gdtoa.h"
/* Bit-map constants, defining the internal format control
* states, which propagate through the flags.
@ -761,52 +762,6 @@ typedef union
unsigned long __pformat_fpreg_bits;
} __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
char *__pformat_cvt( int mode, __pformat_fpreg_t x, int nd, int *dp, int *sign )

View File

@ -18,6 +18,7 @@
#include "evil_pformat.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)
{
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)
*(npos != 0 ? (long double *) get_va_nth (argp, npos) : va_arg (arg, long double *)) = is_neg ? -ld : ld;
}
else if ((flags & IS_L) != 0)
{
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)
*(npos != 0 ? (double *) get_va_nth (argp, npos) : va_arg (arg, double *)) = is_neg ? -d : d;
}
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)
*(npos != 0 ? (float *) get_va_nth (argp, npos) : va_arg (arg, float *)) = is_neg ? -d : d;
}

View File

@ -5,6 +5,7 @@
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <limits.h>
#include <wchar.h>
#ifndef WIN32_LEAN_AND_MEAN

View File

@ -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

View File

@ -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 ".").

View File

@ -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.

View File

@ -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 */

View File

@ -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;
}

View File

@ -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;
}

View File

@ -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;
}

View File

@ -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);
}

View File

@ -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);
}

View File

@ -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);
}

View File

@ -0,0 +1,6 @@
#define IEEE_8087
#define Arith_Kind_ASL 1
#define Double_Align
#ifdef _WIN64
#define X64_bit_pointers
#endif /* w64 */

View File

@ -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

View File

@ -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;
}

View File

@ -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 */

View File

@ -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;
}

View File

@ -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 */

View File

@ -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;
}

View File

@ -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;
}

View File

@ -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);
}

View File

@ -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;
}

View File

@ -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 */

View File

@ -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

View File

@ -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;
}

View File

@ -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;
}

View File

@ -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"))); */

View File

@ -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;
}

View File

@ -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;
}

View File

@ -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);
}