未验证 提交 f52da9b9 编写于 作者: O openharmony_ci 提交者: Gitee

!68 Import freebsd strtod

Merge pull request !68 from yinchuang/import_freebsd_strtod
......@@ -27,3 +27,4 @@
# ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
FREEBSD_SYS_LIBKERN_SRC_FILES = [ "//third_party/FreeBSD/sys/libkern/crc32.c" ]
FREEBSD_DIR = get_path_info(".", "abspath")
......@@ -83,6 +83,27 @@ please copy it to your project root dir and modify it refer to OpenHarmony/tools
uvwxyz license textB xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
" desc=""/>
</licensematcher-->
<licensematcher name="BSD-3-Clause" desc="">
<licensetext name="
* Copyright (c) 1987 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms are permitted
* provided that the above copyright notice and this paragraph are
* duplicated in all such forms and that any documentation,
* advertising materials, and other materials related to such
* distribution and use acknowledge that the software was developed
* by the University of California, Berkeley. The name of the
* University may not be used to endorse or promote products derived
* from this software without specific prior written permission.
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
* WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
" desc=""/>
</licensematcher>
<licensematcher name="MIT" desc="">
<licensetext name="The author of this software is David M. Gay." desc=""/>
</licensematcher>
</licensematcherlist>
</oatconfig>
</configuration>
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#ifndef GDTOA_H_INCLUDED
#define GDTOA_H_INCLUDED
#include "arith.h"
#include <stddef.h> /* for size_t */
#ifndef Long
#define Long int
#endif
#ifndef ULong
typedef unsigned Long ULong;
#endif
#ifndef UShort
typedef unsigned short UShort;
#endif
#ifndef ANSI
#ifdef KR_headers
#define ANSI(x) ()
#define Void /*nothing*/
#else
#define ANSI(x) x
#define Void void
#endif
#endif /* ANSI */
#ifndef CONST
#ifdef KR_headers
#define CONST /* blank */
#else
#define CONST const
#endif
#endif /* CONST */
enum { /* return values from strtodg */
STRTOG_Zero = 0,
STRTOG_Normal = 1,
STRTOG_Denormal = 2,
STRTOG_Infinite = 3,
STRTOG_NaN = 4,
STRTOG_NaNbits = 5,
STRTOG_NoNumber = 6,
STRTOG_Retmask = 7,
/* 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;
} FPI;
enum { /* FPI.rounding values: same as FLT_ROUNDS */
FPI_Round_zero = 0,
FPI_Round_near = 1,
FPI_Round_up = 2,
FPI_Round_down = 3
};
#ifdef __cplusplus
extern "C" {
#endif
extern char* dtoa ANSI((double d, int mode, int ndigits, int *decpt,
int *sign, char **rve));
extern char* gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp,
int mode, int ndigits, int *decpt, char **rve));
extern void freedtoa ANSI((char*));
extern float strtof ANSI((CONST char *, char **));
extern double strtod ANSI((CONST char *, char **));
extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*));
extern char* g_ddfmt ANSI((char*, double*, int, size_t));
extern char* g_dfmt ANSI((char*, double*, int, size_t));
extern char* g_ffmt ANSI((char*, float*, int, size_t));
extern char* g_Qfmt ANSI((char*, void*, int, size_t));
extern char* g_xfmt ANSI((char*, void*, int, size_t));
extern char* g_xLfmt ANSI((char*, void*, int, size_t));
extern int strtoId ANSI((CONST char*, char**, double*, double*));
extern int strtoIdd ANSI((CONST char*, char**, double*, double*));
extern int strtoIf ANSI((CONST char*, char**, float*, float*));
extern int strtoIQ ANSI((CONST char*, char**, void*, void*));
extern int strtoIx ANSI((CONST char*, char**, void*, void*));
extern int strtoIxL ANSI((CONST char*, char**, void*, void*));
extern int strtord ANSI((CONST char*, char**, int, double*));
extern int strtordd ANSI((CONST char*, char**, int, double*));
extern int strtorf ANSI((CONST char*, char**, int, float*));
extern int strtorQ ANSI((CONST char*, char**, int, void*));
extern int strtorx ANSI((CONST char*, char**, int, void*));
extern int strtorxL ANSI((CONST char*, char**, int, void*));
#if 1
extern int strtodI ANSI((CONST char*, char**, double*));
extern int strtopd ANSI((CONST char*, char**, double*));
extern int strtopdd ANSI((CONST char*, char**, double*));
extern int strtopf ANSI((CONST char*, char**, float*));
extern int strtopQ ANSI((CONST char*, char**, void*));
extern int strtopx ANSI((CONST char*, char**, void*));
extern int strtopxL ANSI((CONST char*, char**, void*));
#else
#define strtopd(s,se,x) strtord(s,se,1,x)
#define strtopdd(s,se,x) strtordd(s,se,1,x)
#define strtopf(s,se,x) strtorf(s,se,1,x)
#define strtopQ(s,se,x) strtorQ(s,se,1,x)
#define strtopx(s,se,x) strtorx(s,se,1,x)
#define strtopxL(s,se,x) strtorxL(s,se,1,x)
#endif
#ifdef __cplusplus
}
#endif
#endif /* GDTOA_H_INCLUDED */
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;
}
/****************************************************************
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.
****************************************************************/
/* $FreeBSD$ */
/* This is a variation on dtoa.c that converts arbitary binary
floating-point formats to and from decimal notation. It uses
double-precision arithmetic internally, so there are still
various #ifdefs that adapt the calculations to the native
double-precision arithmetic (any of IEEE, VAX D_floating,
or IBM mainframe arithmetic).
Please send bug reports to David M. Gay (dmg at acm dot org,
with " at " changed at "@" and " dot " changed to ".").
*/
/* On a machine with IEEE extended-precision registers, it is
* necessary to specify double-precision (53-bit) rounding precision
* before invoking strtod or dtoa. If the machine uses (the equivalent
* of) Intel 80x87 arithmetic, the call
* _control87(PC_53, MCW_PC);
* does this with many compilers. Whether this or another call is
* appropriate depends on the compiler; for this to work, it may be
* necessary to #include "float.h" or another system-dependent header
* file.
*/
/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
*
* This strtod returns a nearest machine number to the input decimal
* string (or sets errno to ERANGE). With IEEE arithmetic, ties are
* broken by the IEEE round-even rule. Otherwise ties are broken by
* biased rounding (add half and chop).
*
* Inspired loosely by William D. Clinger's paper "How to Read Floating
* Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
*
* Modifications:
*
* 1. We only require IEEE, IBM, or VAX double-precision
* arithmetic (not IEEE double-extended).
* 2. We get by with floating-point arithmetic in a case that
* Clinger missed -- when we're computing d * 10^n
* for a small integer d and the integer n is not too
* much larger than 22 (the maximum integer k for which
* we can represent 10^k exactly), we may be able to
* compute (d*10^k) * 10^(e-k) with just one roundoff.
* 3. Rather than a bit-at-a-time adjustment of the binary
* result in the hard case, we use floating-point
* arithmetic to determine the adjustment to within
* one bit; only in really hard cases do we need to
* compute a second residual.
* 4. Because of 3., we don't need a large table of powers of 10
* for ten-to-e (just some small tables, e.g. of 10^k
* for 0 <= k <= 22).
*/
/*
* #define IEEE_8087 for IEEE-arithmetic machines where the least
* significant byte has the lowest address.
* #define IEEE_MC68k for IEEE-arithmetic machines where the most
* significant byte has the lowest address.
* #define Long int on machines with 32-bit ints and 64-bit longs.
* #define Sudden_Underflow for IEEE-format machines without gradual
* underflow (i.e., that flush to zero on underflow).
* #define IBM for IBM mainframe-style floating-point arithmetic.
* #define VAX for VAX-style floating-point arithmetic (D_floating).
* #define No_leftright to omit left-right logic in fast floating-point
* computation of dtoa.
* #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
* #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
* that use extended-precision instructions to compute rounded
* products and quotients) with IBM.
* #define ROUND_BIASED for IEEE-format with biased rounding and arithmetic
* that rounds toward +Infinity.
* #define ROUND_BIASED_without_Round_Up for IEEE-format with biased
* rounding when the underlying floating-point arithmetic uses
* unbiased rounding. This prevent using ordinary floating-point
* arithmetic when the result could be computed with one rounding error.
* #define Inaccurate_Divide for IEEE-format with correctly rounded
* products but inaccurate quotients, e.g., for Intel i860.
* #define NO_LONG_LONG on machines that do not have a "long long"
* integer type (of >= 64 bits). On such machines, you can
* #define Just_16 to store 16 bits per 32-bit Long when doing
* high-precision integer arithmetic. Whether this speeds things
* up or slows things down depends on the machine and the number
* being converted. If long long is available and the name is
* something other than "long long", #define Llong to be the name,
* and if "unsigned Llong" does not work as an unsigned version of
* Llong, #define #ULLong to be the corresponding unsigned type.
* #define KR_headers for old-style C function headers.
* #define Bad_float_h if your system lacks a float.h or if it does not
* define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
* FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
* #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
* if memory is available and otherwise does something you deem
* appropriate. If MALLOC is undefined, malloc will be invoked
* directly -- and assumed always to succeed. Similarly, if you
* want something other than the system's free() to be called to
* recycle memory acquired from MALLOC, #define FREE to be the
* name of the alternate routine. (FREE or free is only called in
* pathological cases, e.g., in a gdtoa call after a gdtoa return in
* mode 3 with thousands of digits requested.)
* #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
* memory allocations from a private pool of memory when possible.
* When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
* unless #defined to be a different length. This default length
* suffices to get rid of MALLOC calls except for unusual cases,
* such as decimal-to-binary conversion of a very long string of
* digits. When converting IEEE double precision values, the
* longest string gdtoa can return is about 751 bytes long. For
* conversions by strtod of strings of 800 digits and all gdtoa
* conversions of IEEE doubles in single-threaded executions with
* 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
* 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
* #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
* #defined automatically on IEEE systems. On such systems,
* when INFNAN_CHECK is #defined, strtod checks
* for Infinity and NaN (case insensitively).
* When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
* strtodg also accepts (case insensitively) strings of the form
* NaN(x), where x is a string of hexadecimal digits (optionally
* preceded by 0x or 0X) and spaces; if there is only one string
* of hexadecimal digits, it is taken for the fraction bits of the
* resulting NaN; if there are two or more strings of hexadecimal
* digits, each string is assigned to the next available sequence
* of 32-bit words of fractions bits (starting with the most
* significant), right-aligned in each sequence.
* Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)"
* is consumed even when ... has the wrong form (in which case the
* "(...)" is consumed but ignored).
* #define MULTIPLE_THREADS if the system offers preemptively scheduled
* multiple threads. In this case, you must provide (or suitably
* #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
* by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
* in pow5mult, ensures lazy evaluation of only one copy of high
* powers of 5; omitting this lock would introduce a small
* probability of wasting memory, but would otherwise be harmless.)
* You must also invoke freedtoa(s) to free the value s returned by
* dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
* #define IMPRECISE_INEXACT if you do not care about the setting of
* the STRTOG_Inexact bits in the special case of doing IEEE double
* precision conversions (which could also be done by the strtod in
* dtoa.c).
* #define NO_HEX_FP to disable recognition of C9x's hexadecimal
* floating-point constants.
* #define -DNO_ERRNO to suppress setting errno (in strtod.c and
* strtodg.c).
* #define NO_STRING_H to use private versions of memcpy.
* On some K&R systems, it may also be necessary to
* #define DECLARE_SIZE_T in this case.
* #define USE_LOCALE to use the current locale's decimal_point value.
*/
#ifndef GDTOAIMP_H_INCLUDED
#define GDTOAIMP_H_INCLUDED
#define Long int
#include "gdtoa.h"
#include "gd_qnan.h"
#ifdef Honor_FLT_ROUNDS
#include <fenv.h>
#endif
#ifdef DEBUG
#include "stdio.h"
#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
#endif
#define __isthreaded 1
#define _pthread_mutex_lock pthread_mutex_lock
#define _pthread_mutex_unlock pthread_mutex_unlock
#include "stdlib.h"
#include "string.h"
#include <pthread.h>
#ifdef KR_headers
#define Char char
#else
#define Char void
#endif
#ifdef MALLOC
extern Char *MALLOC ANSI((size_t));
#else
#define MALLOC malloc
#endif
#define INFNAN_CHECK
#define NO_LOCALE_CACHE
#define Honor_FLT_ROUNDS
#define Trust_FLT_ROUNDS
#undef IEEE_Arith
#undef Avoid_Underflow
#ifdef IEEE_MC68k
#define IEEE_Arith
#endif
#ifdef IEEE_8087
#define IEEE_Arith
#endif
#include "errno.h"
#ifdef Bad_float_h
#ifdef IEEE_Arith
#define DBL_DIG 15
#define DBL_MAX_10_EXP 308
#define DBL_MAX_EXP 1024
#define FLT_RADIX 2
#define DBL_MAX 1.7976931348623157e+308
#endif
#ifdef IBM
#define DBL_DIG 16
#define DBL_MAX_10_EXP 75
#define DBL_MAX_EXP 63
#define FLT_RADIX 16
#define DBL_MAX 7.2370055773322621e+75
#endif
#ifdef VAX
#define DBL_DIG 16
#define DBL_MAX_10_EXP 38
#define DBL_MAX_EXP 127
#define FLT_RADIX 2
#define DBL_MAX 1.7014118346046923e+38
#define n_bigtens 2
#endif
#ifndef LONG_MAX
#define LONG_MAX 2147483647
#endif
#else /* ifndef Bad_float_h */
#include "float.h"
#endif /* Bad_float_h */
#ifdef IEEE_Arith
#define Scale_Bit 0x10
#define n_bigtens 5
#endif
#ifdef IBM
#define n_bigtens 3
#endif
#ifdef VAX
#define n_bigtens 2
#endif
#ifndef __MATH_H__
#include "math.h"
#endif
#ifdef __cplusplus
extern "C" {
#endif
#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
#endif
typedef union { double d; ULong L[2]; } U;
#ifdef IEEE_8087
#define word0(x) (x)->L[1]
#define word1(x) (x)->L[0]
#else
#define word0(x) (x)->L[0]
#define word1(x) (x)->L[1]
#endif
#define dval(x) (x)->d
/* The following definition of Storeinc is appropriate for MIPS processors.
* An alternative that might be better on some machines is
* #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
*/
#if defined(IEEE_8087) + defined(VAX)
#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
((unsigned short *)a)[0] = (unsigned short)c, a++)
#else
#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
((unsigned short *)a)[1] = (unsigned short)c, a++)
#endif
/* #define P DBL_MANT_DIG */
/* Ten_pmax = floor(P*log(2)/log(5)) */
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
#ifdef IEEE_Arith
#define Exp_shift 20
#define Exp_shift1 20
#define Exp_msk1 0x100000
#define Exp_msk11 0x100000
#define Exp_mask 0x7ff00000
#define P 53
#define Bias 1023
#define Emin (-1022)
#define Exp_1 0x3ff00000
#define Exp_11 0x3ff00000
#define Ebits 11
#define Frac_mask 0xfffff
#define Frac_mask1 0xfffff
#define Ten_pmax 22
#define Bletch 0x10
#define Bndry_mask 0xfffff
#define Bndry_mask1 0xfffff
#define LSB 1
#define Sign_bit 0x80000000
#define Log2P 1
#define Tiny0 0
#define Tiny1 1
#define Quick_max 14
#define Int_max 14
#ifndef Flt_Rounds
#ifdef FLT_ROUNDS
#define Flt_Rounds FLT_ROUNDS
#else
#define Flt_Rounds 1
#endif
#endif /*Flt_Rounds*/
#else /* ifndef IEEE_Arith */
#undef Sudden_Underflow
#define Sudden_Underflow
#ifdef IBM
#undef Flt_Rounds
#define Flt_Rounds 0
#define Exp_shift 24
#define Exp_shift1 24
#define Exp_msk1 0x1000000
#define Exp_msk11 0x1000000
#define Exp_mask 0x7f000000
#define P 14
#define Bias 65
#define Exp_1 0x41000000
#define Exp_11 0x41000000
#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
#define Frac_mask 0xffffff
#define Frac_mask1 0xffffff
#define Bletch 4
#define Ten_pmax 22
#define Bndry_mask 0xefffff
#define Bndry_mask1 0xffffff
#define LSB 1
#define Sign_bit 0x80000000
#define Log2P 4
#define Tiny0 0x100000
#define Tiny1 0
#define Quick_max 14
#define Int_max 15
#else /* VAX */
#undef Flt_Rounds
#define Flt_Rounds 1
#define Exp_shift 23
#define Exp_shift1 7
#define Exp_msk1 0x80
#define Exp_msk11 0x800000
#define Exp_mask 0x7f80
#define P 56
#define Bias 129
#define Exp_1 0x40800000
#define Exp_11 0x4080
#define Ebits 8
#define Frac_mask 0x7fffff
#define Frac_mask1 0xffff007f
#define Ten_pmax 24
#define Bletch 2
#define Bndry_mask 0xffff007f
#define Bndry_mask1 0xffff007f
#define LSB 0x10000
#define Sign_bit 0x8000
#define Log2P 1
#define Tiny0 0x80
#define Tiny1 0
#define Quick_max 15
#define Int_max 15
#endif /* IBM, VAX */
#endif /* IEEE_Arith */
#ifndef IEEE_Arith
#define ROUND_BIASED
#else
#ifdef ROUND_BIASED_without_Round_Up
#undef ROUND_BIASED
#define ROUND_BIASED
#endif
#endif
#ifdef RND_PRODQUOT
#define rounded_product(a,b) a = rnd_prod(a, b)
#define rounded_quotient(a,b) a = rnd_quot(a, b)
#ifdef KR_headers
extern double rnd_prod(), rnd_quot();
#else
extern double rnd_prod(double, double), rnd_quot(double, double);
#endif
#else
#define rounded_product(a,b) a *= b
#define rounded_quotient(a,b) a /= b
#endif
#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
#define Big1 0xffffffff
#undef Pack_16
#ifndef Pack_32
#define Pack_32
#endif
#ifdef NO_LONG_LONG
#undef ULLong
#ifdef Just_16
#undef Pack_32
#define Pack_16
/* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
* This makes some inner loops simpler and sometimes saves work
* during multiplications, but it often seems to make things slightly
* slower. Hence the default is now to store 32 bits per Long.
*/
#endif
#else /* long long available */
#ifndef Llong
#define Llong long long
#endif
#ifndef ULLong
#define ULLong unsigned Llong
#endif
#endif /* NO_LONG_LONG */
#ifdef Pack_32
#define ULbits 32
#define kshift 5
#define kmask 31
#define ALL_ON 0xffffffff
#else
#define ULbits 16
#define kshift 4
#define kmask 15
#define ALL_ON 0xffff
#endif
#define MULTIPLE_THREADS
extern pthread_mutex_t __gdtoa_locks[2];
#define ACQUIRE_DTOA_LOCK(n) do { \
if (__isthreaded) \
_pthread_mutex_lock(&__gdtoa_locks[n]); \
} while(0)
#define FREE_DTOA_LOCK(n) do { \
if (__isthreaded) \
_pthread_mutex_unlock(&__gdtoa_locks[n]); \
} while(0)
#define Kmax 9
struct
Bigint {
struct Bigint *next;
int k, maxwds, sign, wds;
ULong x[1];
};
typedef struct Bigint Bigint;
#ifdef NO_STRING_H
#ifdef DECLARE_SIZE_T
typedef unsigned int size_t;
#endif
extern void memcpy_D2A ANSI((void*, const void*, size_t));
#define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
#else /* !NO_STRING_H */
#define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
#endif /* NO_STRING_H */
/*
* Paranoia: Protect exported symbols, including ones in files we don't
* compile right now. The standard strtof and strtod survive.
*/
#define dtoa __dtoa
#define gdtoa __gdtoa
#define freedtoa __freedtoa
#define strtodg __strtodg
#define g_ddfmt __g_ddfmt
#define g_dfmt __g_dfmt
#define g_ffmt __g_ffmt
#define g_Qfmt __g_Qfmt
#define g_xfmt __g_xfmt
#define g_xLfmt __g_xLfmt
#define strtoId __strtoId
#define strtoIdd __strtoIdd
#define strtoIf __strtoIf
#define strtoIQ __strtoIQ
#define strtoIx __strtoIx
#define strtoIxL __strtoIxL
#define strtord_l __strtord_l
#define strtordd __strtordd
#define strtorf __strtorf
#define strtorQ_l __strtorQ_l
#define strtorx_l __strtorx_l
#define strtorxL __strtorxL
#define strtodI __strtodI
#define strtopd __strtopd
#define strtopdd __strtopdd
#define strtopf __strtopf
#define strtopQ __strtopQ
#define strtopx __strtopx
#define strtopxL __strtopxL
/* Protect gdtoa-internal symbols */
#define Balloc __Balloc_D2A
#define Bfree __Bfree_D2A
#define ULtoQ __ULtoQ_D2A
#define ULtof __ULtof_D2A
#define ULtod __ULtod_D2A
#define ULtodd __ULtodd_D2A
#define ULtox __ULtox_D2A
#define ULtoxL __ULtoxL_D2A
#define any_on __any_on_D2A
#define b2d __b2d_D2A
#define bigtens __bigtens_D2A
#define cmp __cmp_D2A
#define copybits __copybits_D2A
#define d2b __d2b_D2A
#define decrement __decrement_D2A
#define diff __diff_D2A
#define dtoa_result __dtoa_result_D2A
#define g__fmt __g__fmt_D2A
#define gethex __gethex_D2A
#define hexdig __hexdig_D2A
#define hexdig_init_D2A __hexdig_init_D2A
#define hexnan __hexnan_D2A
#define hi0bits __hi0bits_D2A
#define hi0bits_D2A __hi0bits_D2A
#define i2b __i2b_D2A
#define increment __increment_D2A
#define lo0bits __lo0bits_D2A
#define lshift __lshift_D2A
#define match __match_D2A
#define mult __mult_D2A
#define multadd __multadd_D2A
#define nrv_alloc __nrv_alloc_D2A
#define pow5mult __pow5mult_D2A
#define quorem __quorem_D2A
#define ratio __ratio_D2A
#define rshift __rshift_D2A
#define rv_alloc __rv_alloc_D2A
#define s2b __s2b_D2A
#define set_ones __set_ones_D2A
#define strcp __strcp_D2A
#define strcp_D2A __strcp_D2A
#define strtoIg __strtoIg_D2A
#define sum __sum_D2A
#define tens __tens_D2A
#define tinytens __tinytens_D2A
#define tinytens __tinytens_D2A
#define trailz __trailz_D2A
#define ulp __ulp_D2A
extern char *dtoa_result;
extern CONST double bigtens[], tens[], tinytens[];
extern unsigned char hexdig[];
extern Bigint *Balloc ANSI((int));
extern void Bfree ANSI((Bigint*));
extern void ULtof ANSI((ULong*, ULong*, Long, int));
extern void ULtod ANSI((ULong*, ULong*, Long, int));
extern void ULtodd ANSI((ULong*, ULong*, Long, int));
extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
extern void ULtox ANSI((UShort*, ULong*, Long, int));
extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
extern ULong any_on ANSI((Bigint*, int));
extern double b2d ANSI((Bigint*, int*));
extern int cmp ANSI((Bigint*, Bigint*));
extern void copybits ANSI((ULong*, int, Bigint*));
extern Bigint *d2b ANSI((double, int*, int*));
extern void decrement ANSI((Bigint*));
extern Bigint *diff ANSI((Bigint*, Bigint*));
extern char *dtoa ANSI((double d, int mode, int ndigits,
int *decpt, int *sign, char **rve));
extern void freedtoa ANSI((char*));
extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp,
int mode, int ndigits, int *decpt, char **rve));
extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
extern void hexdig_init_D2A(Void);
extern int hexnan ANSI((CONST char**, FPI*, ULong*));
extern int hi0bits ANSI((ULong));
extern Bigint *i2b ANSI((int));
extern Bigint *increment ANSI((Bigint*));
extern int lo0bits ANSI((ULong*));
extern Bigint *lshift ANSI((Bigint*, int));
extern int match ANSI((CONST char**, char*));
extern Bigint *mult ANSI((Bigint*, Bigint*));
extern Bigint *multadd ANSI((Bigint*, int, int));
extern char *nrv_alloc ANSI((char*, char **, int));
extern Bigint *pow5mult ANSI((Bigint*, int));
extern int quorem ANSI((Bigint*, Bigint*));
extern double ratio ANSI((Bigint*, Bigint*));
extern void rshift ANSI((Bigint*, int));
extern char *rv_alloc ANSI((int));
extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int));
extern Bigint *set_ones ANSI((Bigint*, int));
extern char *strcp ANSI((char*, const char*));
extern int strtodg_l ANSI((CONST char*, char**, FPI*, Long*, ULong*, locale_t));
extern int strtoId ANSI((CONST char *, char **, double *, double *));
extern int strtoIdd ANSI((CONST char *, char **, double *, double *));
extern int strtoIf ANSI((CONST char *, char **, float *, float *));
extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
extern int strtoIQ ANSI((CONST char *, char **, void *, void *));
extern int strtoIx ANSI((CONST char *, char **, void *, void *));
extern int strtoIxL ANSI((CONST char *, char **, void *, void *));
extern double strtod ANSI((const char *s00, char **se));
extern int strtopQ ANSI((CONST char *, char **, Void *));
extern int strtopf ANSI((CONST char *, char **, float *));
extern int strtopd ANSI((CONST char *, char **, double *));
extern int strtopdd ANSI((CONST char *, char **, double *));
extern int strtopx ANSI((CONST char *, char **, Void *));
extern int strtopxL ANSI((CONST char *, char **, Void *));
extern int strtord_l ANSI((CONST char *, char **, int, double *, locale_t));
extern int strtordd ANSI((CONST char *, char **, int, double *));
extern int strtorf ANSI((CONST char *, char **, int, float *));
extern int strtorQ_l ANSI((CONST char *, char **, int, void *, locale_t));
extern int strtorx_l ANSI((CONST char *, char **, int, void *, locale_t));
extern int strtorxL ANSI((CONST char *, char **, int, void *));
extern Bigint *sum ANSI((Bigint*, Bigint*));
extern int trailz ANSI((Bigint*));
extern double ulp ANSI((U*));
#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 */
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
#ifdef USE_LOCALE
#include "locale.h"
#endif
int
#ifdef KR_headers
gethex(sp, fpi, exp, bp, sign)
CONST char **sp; FPI *fpi; Long *exp; Bigint **bp; int sign;
#else
gethex( CONST char **sp, FPI *fpi, Long *exp, Bigint **bp, int sign)
#endif
{
Bigint *b;
CONST unsigned char *decpt, *s0, *s, *s1;
int big, esign, havedig, irv, j, k, n, n0, nbits, up, zret;
ULong L, lostbits, *x;
Long e, e1;
#ifdef USE_LOCALE
int i;
#ifdef NO_LOCALE_CACHE
const unsigned char *decimalpoint = (unsigned char*)localeconv()->decimal_point;
#else
const unsigned char *decimalpoint;
static unsigned char *decimalpoint_cache;
if (!(s0 = decimalpoint_cache)) {
s0 = (unsigned char*)localeconv()->decimal_point;
if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) {
strcpy(decimalpoint_cache, 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));
*exp = 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:
#ifndef NO_ERRNO
errno = ERANGE;
#endif
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;
*exp = fpi->emin;
#ifndef NO_ERRNO
errno = ERANGE;
#endif
return STRTOG_Denormal | STRTOG_Inexhi
| STRTOG_Underflow;
}
}
Bfree(b);
retz:
#ifndef NO_ERRNO
errno = ERANGE;
#endif
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;
*exp = e;
return irv;
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
void
#ifdef KR_headers
rshift(b, k) Bigint *b; int k;
#else
rshift(Bigint *b, int k)
#endif
{
ULong *x, *x1, *xe, y;
int n;
x = x1 = b->x;
n = k >> kshift;
if (n < b->wds) {
xe = x + b->wds;
x += n;
if (k &= kmask) {
n = ULbits - k;
y = *x++ >> k;
while(x < xe) {
*x1++ = (y | (*x << n)) & ALL_ON;
y = *x++ >> k;
}
if ((*x1 = y) !=0)
x1++;
}
else
while(x < xe)
*x1++ = *x++;
}
if ((b->wds = x1 - b->x) == 0)
b->x[0] = 0;
}
int
#ifdef KR_headers
trailz(b) Bigint *b;
#else
trailz(Bigint *b)
#endif
{
ULong L, *x, *xe;
int n = 0;
x = b->x;
xe = x + b->wds;
for(n = 0; x < xe && !*x; x++)
n += ULbits;
if (x < xe) {
L = *x;
n += lo0bits(&L);
}
return n;
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 2000 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
unsigned char hexdig[256];
static void
#ifdef KR_headers
htinit(h, s, inc) unsigned char *h; unsigned char *s; int inc;
#else
htinit(unsigned char *h, unsigned char *s, int inc)
#endif
{
int i, j;
for(i = 0; (j = s[i]) !=0; i++)
h[j] = i + inc;
}
void
hexdig_init_D2A(Void)
{
#define USC (unsigned char *)
htinit(hexdig, USC "0123456789", 0x10);
htinit(hexdig, USC "abcdef", 0x10 + 10);
htinit(hexdig, USC "ABCDEF", 0x10 + 10);
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 2000 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
static void
#ifdef KR_headers
L_shift(x, x1, i) ULong *x; ULong *x1; int i;
#else
L_shift(ULong *x, ULong *x1, int i)
#endif
{
int j;
i = 8 - i;
i <<= 2;
j = ULbits - i;
do {
*x |= x[1] << j;
x[1] >>= i;
} while(++x < x1);
}
int
#ifdef KR_headers
hexnan(sp, fpi, x0)
CONST char **sp; FPI *fpi; ULong *x0;
#else
hexnan( CONST char **sp, FPI *fpi, ULong *x0)
#endif
{
ULong c, h, *x, *x1, *xe;
CONST char *s;
int havedig, hd0, i, nbits;
if (!hexdig['0'])
hexdig_init_D2A();
nbits = fpi->nbits;
x = x0 + (nbits >> kshift);
if (nbits & kmask)
x++;
*--x = 0;
x1 = xe = x;
havedig = hd0 = i = 0;
s = *sp;
/* 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;
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998, 1999 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
static Bigint *freelist[Kmax+1];
#ifndef Omit_Private_Memory
#ifndef PRIVATE_MEM
#define PRIVATE_MEM 2304
#endif
#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
#endif
Bigint *
Balloc
#ifdef KR_headers
(k) int k;
#else
(int k)
#endif
{
int x;
Bigint *rv;
#ifndef Omit_Private_Memory
unsigned int len;
#endif
ACQUIRE_DTOA_LOCK(0);
/* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
/* but this case seems very unlikely. */
if (k <= Kmax && (rv = freelist[k]) !=0) {
freelist[k] = rv->next;
}
else {
x = 1 << k;
#ifdef Omit_Private_Memory
rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
#else
len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
/sizeof(double);
if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
rv = (Bigint*)pmem_next;
pmem_next += len;
}
else
rv = (Bigint*)MALLOC(len*sizeof(double));
#endif
rv->k = k;
rv->maxwds = x;
}
FREE_DTOA_LOCK(0);
rv->sign = rv->wds = 0;
return rv;
}
void
Bfree
#ifdef KR_headers
(v) Bigint *v;
#else
(Bigint *v)
#endif
{
if (v) {
if (v->k > Kmax)
#ifdef FREE
FREE((void*)v);
#else
free((void*)v);
#endif
else {
ACQUIRE_DTOA_LOCK(0);
v->next = freelist[v->k];
freelist[v->k] = v;
FREE_DTOA_LOCK(0);
}
}
}
int
lo0bits
#ifdef KR_headers
(y) ULong *y;
#else
(ULong *y)
#endif
{
int k;
ULong x = *y;
if (x & 7) {
if (x & 1)
return 0;
if (x & 2) {
*y = x >> 1;
return 1;
}
*y = x >> 2;
return 2;
}
k = 0;
if (!(x & 0xffff)) {
k = 16;
x >>= 16;
}
if (!(x & 0xff)) {
k += 8;
x >>= 8;
}
if (!(x & 0xf)) {
k += 4;
x >>= 4;
}
if (!(x & 0x3)) {
k += 2;
x >>= 2;
}
if (!(x & 1)) {
k++;
x >>= 1;
if (!x)
return 32;
}
*y = x;
return k;
}
Bigint *
multadd
#ifdef KR_headers
(b, m, a) Bigint *b; int m, a;
#else
(Bigint *b, int m, int a) /* multiply by m and add a */
#endif
{
int i, wds;
#ifdef ULLong
ULong *x;
ULLong carry, y;
#else
ULong carry, *x, y;
#ifdef Pack_32
ULong xi, z;
#endif
#endif
Bigint *b1;
wds = b->wds;
x = b->x;
i = 0;
carry = a;
do {
#ifdef ULLong
y = *x * (ULLong)m + carry;
carry = y >> 32;
*x++ = y & 0xffffffffUL;
#else
#ifdef Pack_32
xi = *x;
y = (xi & 0xffff) * m + carry;
z = (xi >> 16) * m + (y >> 16);
carry = z >> 16;
*x++ = (z << 16) + (y & 0xffff);
#else
y = *x * m + carry;
carry = y >> 16;
*x++ = y & 0xffff;
#endif
#endif
}
while(++i < wds);
if (carry) {
if (wds >= b->maxwds) {
b1 = Balloc(b->k+1);
Bcopy(b1, b);
Bfree(b);
b = b1;
}
b->x[wds++] = carry;
b->wds = wds;
}
return b;
}
int
hi0bits_D2A
#ifdef KR_headers
(x) ULong x;
#else
(ULong x)
#endif
{
int k = 0;
if (!(x & 0xffff0000)) {
k = 16;
x <<= 16;
}
if (!(x & 0xff000000)) {
k += 8;
x <<= 8;
}
if (!(x & 0xf0000000)) {
k += 4;
x <<= 4;
}
if (!(x & 0xc0000000)) {
k += 2;
x <<= 2;
}
if (!(x & 0x80000000)) {
k++;
if (!(x & 0x40000000))
return 32;
}
return k;
}
Bigint *
i2b
#ifdef KR_headers
(i) int i;
#else
(int i)
#endif
{
Bigint *b;
b = Balloc(1);
b->x[0] = i;
b->wds = 1;
return b;
}
Bigint *
mult
#ifdef KR_headers
(a, b) Bigint *a, *b;
#else
(Bigint *a, Bigint *b)
#endif
{
Bigint *c;
int k, wa, wb, wc;
ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
ULong y;
#ifdef ULLong
ULLong carry, z;
#else
ULong carry, z;
#ifdef Pack_32
ULong z2;
#endif
#endif
if (a->wds < b->wds) {
c = a;
a = b;
b = c;
}
k = a->k;
wa = a->wds;
wb = b->wds;
wc = wa + wb;
if (wc > a->maxwds)
k++;
c = Balloc(k);
for(x = c->x, xa = x + wc; x < xa; x++)
*x = 0;
xa = a->x;
xae = xa + wa;
xb = b->x;
xbe = xb + wb;
xc0 = c->x;
#ifdef ULLong
for(; xb < xbe; xc0++) {
if ( (y = *xb++) !=0) {
x = xa;
xc = xc0;
carry = 0;
do {
z = *x++ * (ULLong)y + *xc + carry;
carry = z >> 32;
*xc++ = z & 0xffffffffUL;
}
while(x < xae);
*xc = carry;
}
}
#else
#ifdef Pack_32
for(; xb < xbe; xb++, xc0++) {
if ( (y = *xb & 0xffff) !=0) {
x = xa;
xc = xc0;
carry = 0;
do {
z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
carry = z >> 16;
z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
carry = z2 >> 16;
Storeinc(xc, z2, z);
}
while(x < xae);
*xc = carry;
}
if ( (y = *xb >> 16) !=0) {
x = xa;
xc = xc0;
carry = 0;
z2 = *xc;
do {
z = (*x & 0xffff) * y + (*xc >> 16) + carry;
carry = z >> 16;
Storeinc(xc, z, z2);
z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
carry = z2 >> 16;
}
while(x < xae);
*xc = z2;
}
}
#else
for(; xb < xbe; xc0++) {
if ( (y = *xb++) !=0) {
x = xa;
xc = xc0;
carry = 0;
do {
z = *x++ * y + *xc + carry;
carry = z >> 16;
*xc++ = z & 0xffff;
}
while(x < xae);
*xc = carry;
}
}
#endif
#endif
for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
c->wds = wc;
return c;
}
static Bigint *p5s;
Bigint *
pow5mult
#ifdef KR_headers
(b, k) Bigint *b; int k;
#else
(Bigint *b, int k)
#endif
{
Bigint *b1, *p5, *p51;
int i;
static int p05[3] = { 5, 25, 125 };
if ( (i = k & 3) !=0)
b = multadd(b, p05[i-1], 0);
if (!(k >>= 2))
return b;
if ((p5 = p5s) == 0) {
/* first time */
#ifdef MULTIPLE_THREADS
ACQUIRE_DTOA_LOCK(1);
if (!(p5 = p5s)) {
p5 = p5s = i2b(625);
p5->next = 0;
}
FREE_DTOA_LOCK(1);
#else
p5 = p5s = i2b(625);
p5->next = 0;
#endif
}
for(;;) {
if (k & 1) {
b1 = mult(b, p5);
Bfree(b);
b = b1;
}
if (!(k >>= 1))
break;
if ((p51 = p5->next) == 0) {
#ifdef MULTIPLE_THREADS
ACQUIRE_DTOA_LOCK(1);
if (!(p51 = p5->next)) {
p51 = p5->next = mult(p5,p5);
p51->next = 0;
}
FREE_DTOA_LOCK(1);
#else
p51 = p5->next = mult(p5,p5);
p51->next = 0;
#endif
}
p5 = p51;
}
return b;
}
Bigint *
lshift
#ifdef KR_headers
(b, k) Bigint *b; int k;
#else
(Bigint *b, int k)
#endif
{
int i, k1, n, n1;
Bigint *b1;
ULong *x, *x1, *xe, z;
n = k >> kshift;
k1 = b->k;
n1 = n + b->wds + 1;
for(i = b->maxwds; n1 > i; i <<= 1)
k1++;
b1 = Balloc(k1);
x1 = b1->x;
for(i = 0; i < n; i++)
*x1++ = 0;
x = b->x;
xe = x + b->wds;
if (k &= kmask) {
#ifdef Pack_32
k1 = 32 - k;
z = 0;
do {
*x1++ = *x << k | z;
z = *x++ >> k1;
}
while(x < xe);
if ((*x1 = z) !=0)
++n1;
#else
k1 = 16 - k;
z = 0;
do {
*x1++ = *x << k & 0xffff | z;
z = *x++ >> k1;
}
while(x < xe);
if (*x1 = z)
++n1;
#endif
}
else do
*x1++ = *x++;
while(x < xe);
b1->wds = n1 - 1;
Bfree(b);
return b1;
}
int
cmp
#ifdef KR_headers
(a, b) Bigint *a, *b;
#else
(Bigint *a, Bigint *b)
#endif
{
ULong *xa, *xa0, *xb, *xb0;
int i, j;
i = a->wds;
j = b->wds;
#ifdef DEBUG
if (i > 1 && !a->x[i-1])
Bug("cmp called with a->x[a->wds-1] == 0");
if (j > 1 && !b->x[j-1])
Bug("cmp called with b->x[b->wds-1] == 0");
#endif
if (i -= j)
return i;
xa0 = a->x;
xa = xa0 + j;
xb0 = b->x;
xb = xb0 + j;
for(;;) {
if (*--xa != *--xb)
return *xa < *xb ? -1 : 1;
if (xa <= xa0)
break;
}
return 0;
}
Bigint *
diff
#ifdef KR_headers
(a, b) Bigint *a, *b;
#else
(Bigint *a, Bigint *b)
#endif
{
Bigint *c;
int i, wa, wb;
ULong *xa, *xae, *xb, *xbe, *xc;
#ifdef ULLong
ULLong borrow, y;
#else
ULong borrow, y;
#ifdef Pack_32
ULong z;
#endif
#endif
i = cmp(a,b);
if (!i) {
c = Balloc(0);
c->wds = 1;
c->x[0] = 0;
return c;
}
if (i < 0) {
c = a;
a = b;
b = c;
i = 1;
}
else
i = 0;
c = Balloc(a->k);
c->sign = i;
wa = a->wds;
xa = a->x;
xae = xa + wa;
wb = b->wds;
xb = b->x;
xbe = xb + wb;
xc = c->x;
borrow = 0;
#ifdef ULLong
do {
y = (ULLong)*xa++ - *xb++ - borrow;
borrow = y >> 32 & 1UL;
*xc++ = y & 0xffffffffUL;
}
while(xb < xbe);
while(xa < xae) {
y = *xa++ - borrow;
borrow = y >> 32 & 1UL;
*xc++ = y & 0xffffffffUL;
}
#else
#ifdef Pack_32
do {
y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;
borrow = (y & 0x10000) >> 16;
z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
borrow = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
}
while(xb < xbe);
while(xa < xae) {
y = (*xa & 0xffff) - borrow;
borrow = (y & 0x10000) >> 16;
z = (*xa++ >> 16) - borrow;
borrow = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
}
#else
do {
y = *xa++ - *xb++ - borrow;
borrow = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
}
while(xb < xbe);
while(xa < xae) {
y = *xa++ - borrow;
borrow = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
}
#endif
#endif
while(!*--xc)
wa--;
c->wds = wa;
return c;
}
double
b2d
#ifdef KR_headers
(a, e) Bigint *a; int *e;
#else
(Bigint *a, int *e)
#endif
{
ULong *xa, *xa0, w, y, z;
int k;
U d;
#ifdef VAX
ULong d0, d1;
#else
#define d0 word0(&d)
#define d1 word1(&d)
#endif
xa0 = a->x;
xa = xa0 + a->wds;
y = *--xa;
#ifdef DEBUG
if (!y) Bug("zero y in b2d");
#endif
k = hi0bits(y);
*e = 32 - k;
#ifdef Pack_32
if (k < Ebits) {
d0 = Exp_1 | y >> (Ebits - k);
w = xa > xa0 ? *--xa : 0;
d1 = y << ((32-Ebits) + k) | w >> (Ebits - k);
goto ret_d;
}
z = xa > xa0 ? *--xa : 0;
if (k -= Ebits) {
d0 = Exp_1 | y << k | z >> (32 - k);
y = xa > xa0 ? *--xa : 0;
d1 = z << k | y >> (32 - k);
}
else {
d0 = Exp_1 | y;
d1 = z;
}
#else
if (k < Ebits + 16) {
z = xa > xa0 ? *--xa : 0;
d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;
w = xa > xa0 ? *--xa : 0;
y = xa > xa0 ? *--xa : 0;
d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;
goto ret_d;
}
z = xa > xa0 ? *--xa : 0;
w = xa > xa0 ? *--xa : 0;
k -= Ebits + 16;
d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;
y = xa > xa0 ? *--xa : 0;
d1 = w << k + 16 | y << k;
#endif
ret_d:
#ifdef VAX
word0(&d) = d0 >> 16 | d0 << 16;
word1(&d) = d1 >> 16 | d1 << 16;
#endif
return dval(&d);
}
#undef d0
#undef d1
Bigint *
d2b
#ifdef KR_headers
(dd, e, bits) double dd; int *e, *bits;
#else
(double dd, int *e, int *bits)
#endif
{
Bigint *b;
U d;
#ifndef Sudden_Underflow
int i;
#endif
int de, k;
ULong *x, y, z;
#ifdef VAX
ULong d0, d1;
#else
#define d0 word0(&d)
#define d1 word1(&d)
#endif
d.d = dd;
#ifdef VAX
d0 = word0(&d) >> 16 | word0(&d) << 16;
d1 = word1(&d) >> 16 | word1(&d) << 16;
#endif
#ifdef Pack_32
b = Balloc(1);
#else
b = Balloc(2);
#endif
x = b->x;
z = d0 & Frac_mask;
d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
#ifdef Sudden_Underflow
de = (int)(d0 >> Exp_shift);
#ifndef IBM
z |= Exp_msk11;
#endif
#else
if ( (de = (int)(d0 >> Exp_shift)) !=0)
z |= Exp_msk1;
#endif
#ifdef Pack_32
if ( (y = d1) !=0) {
if ( (k = lo0bits(&y)) !=0) {
x[0] = y | z << (32 - k);
z >>= k;
}
else
x[0] = y;
#ifndef Sudden_Underflow
i =
#endif
b->wds = (x[1] = z) !=0 ? 2 : 1;
}
else {
k = lo0bits(&z);
x[0] = z;
#ifndef Sudden_Underflow
i =
#endif
b->wds = 1;
k += 32;
}
#else
if ( (y = d1) !=0) {
if ( (k = lo0bits(&y)) !=0)
if (k >= 16) {
x[0] = y | z << 32 - k & 0xffff;
x[1] = z >> k - 16 & 0xffff;
x[2] = z >> k;
i = 2;
}
else {
x[0] = y & 0xffff;
x[1] = y >> 16 | z << 16 - k & 0xffff;
x[2] = z >> k & 0xffff;
x[3] = z >> k+16;
i = 3;
}
else {
x[0] = y & 0xffff;
x[1] = y >> 16;
x[2] = z & 0xffff;
x[3] = z >> 16;
i = 3;
}
}
else {
#ifdef DEBUG
if (!z)
Bug("Zero passed to d2b");
#endif
k = lo0bits(&z);
if (k >= 16) {
x[0] = z;
i = 0;
}
else {
x[0] = z & 0xffff;
x[1] = z >> 16;
i = 1;
}
k += 32;
}
while(!x[i])
--i;
b->wds = i + 1;
#endif
#ifndef Sudden_Underflow
if (de) {
#endif
#ifdef IBM
*e = (de - Bias - (P-1) << 2) + k;
*bits = 4*P + 8 - k - hi0bits(word0(&d) & Frac_mask);
#else
*e = de - Bias - (P-1) + k;
*bits = P - k;
#endif
#ifndef Sudden_Underflow
}
else {
*e = de - Bias - (P-1) + 1 + k;
#ifdef Pack_32
*bits = 32*i - hi0bits(x[i-1]);
#else
*bits = (i+2)*16 - hi0bits(x[i]);
#endif
}
#endif
return b;
}
#undef d0
#undef d1
CONST double
#ifdef IEEE_Arith
bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256
};
#else
#ifdef IBM
bigtens[] = { 1e16, 1e32, 1e64 };
CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };
#else
bigtens[] = { 1e16, 1e32 };
CONST double tinytens[] = { 1e-16, 1e-32 };
#endif
#endif
CONST double
tens[] = {
1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
1e20, 1e21, 1e22
#ifdef VAX
, 1e23, 1e24
#endif
};
char *
#ifdef KR_headers
strcp_D2A(a, b) char *a; char *b;
#else
strcp_D2A(char *a, CONST char *b)
#endif
{
while((*a = *b++))
a++;
return a;
}
#ifdef NO_STRING_H
Char *
#ifdef KR_headers
memcpy_D2A(a, b, len) Char *a; Char *b; size_t len;
#else
memcpy_D2A(void *a1, void *b1, size_t len)
#endif
{
char *a = (char*)a1, *ae = a + len;
char *b = (char*)b1, *a0 = a;
while(a < ae)
*a++ = *b++;
return a0;
}
#endif /* NO_STRING_H */
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998, 1999 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
Bigint *
s2b
#ifdef KR_headers
(s, nd0, nd, y9, dplen) CONST char *s; int dplen, nd0, nd; ULong y9;
#else
(CONST char *s, int nd0, int nd, ULong y9, int dplen)
#endif
{
Bigint *b;
int i, k;
Long x, y;
x = (nd + 8) / 9;
for(k = 0, y = 1; x > y; y <<= 1, k++) ;
#ifdef Pack_32
b = Balloc(k);
b->x[0] = y9;
b->wds = 1;
#else
b = Balloc(k+1);
b->x[0] = y9 & 0xffff;
b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
#endif
i = 9;
if (9 < nd0) {
s += 9;
do b = multadd(b, 10, *s++ - '0');
while(++i < nd0);
s += dplen;
}
else
s += dplen + 9;
for(; i < nd; i++)
b = multadd(b, 10, *s++ - '0');
return b;
}
double
ratio
#ifdef KR_headers
(a, b) Bigint *a, *b;
#else
(Bigint *a, Bigint *b)
#endif
{
U da, db;
int k, ka, kb;
dval(&da) = b2d(a, &ka);
dval(&db) = b2d(b, &kb);
k = ka - kb + ULbits*(a->wds - b->wds);
#ifdef IBM
if (k > 0) {
word0(&da) += (k >> 2)*Exp_msk1;
if (k &= 3)
dval(&da) *= 1 << k;
}
else {
k = -k;
word0(&db) += (k >> 2)*Exp_msk1;
if (k &= 3)
dval(&db) *= 1 << k;
}
#else
if (k > 0)
word0(&da) += k*Exp_msk1;
else {
k = -k;
word0(&db) += k*Exp_msk1;
}
#endif
return dval(&da) / dval(&db);
}
#ifdef INFNAN_CHECK
int
match
#ifdef KR_headers
(sp, t) char **sp, *t;
#else
(CONST char **sp, char *t)
#endif
{
int c, d;
CONST char *s = *sp;
while( (d = *t++) !=0) {
if ((c = *++s) >= 'A' && c <= 'Z')
c += 'a' - 'A';
if (c != d)
return 0;
}
*sp = s + 1;
return 1;
}
#endif /* INFNAN_CHECK */
void
#ifdef KR_headers
copybits(c, n, b) ULong *c; int n; Bigint *b;
#else
copybits(ULong *c, int n, Bigint *b)
#endif
{
ULong *ce, *x, *xe;
#ifdef Pack_16
int nw, nw1;
#endif
ce = c + ((n-1) >> kshift) + 1;
x = b->x;
#ifdef Pack_32
xe = x + b->wds;
while(x < xe)
*c++ = *x++;
#else
nw = b->wds;
nw1 = nw & 1;
for(xe = x + (nw - nw1); x < xe; x += 2)
Storeinc(c, x[1], x[0]);
if (nw1)
*c++ = *x;
#endif
while(c < ce)
*c++ = 0;
}
ULong
#ifdef KR_headers
any_on(b, k) Bigint *b; int k;
#else
any_on(Bigint *b, int k)
#endif
{
int n, nwds;
ULong *x, *x0, x1, x2;
x = b->x;
nwds = b->wds;
n = k >> kshift;
if (n > nwds)
n = nwds;
else if (n < nwds && (k &= kmask)) {
x1 = x2 = x[n];
x1 >>= k;
x1 <<= k;
if (x1 != x2)
return 1;
}
x0 = x;
x += n;
while(x > x0)
if (*--x)
return 1;
return 0;
}
/****************************************************************
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 "."). */
/* $FreeBSD$ */
#include "gdtoaimp.h"
#ifndef NO_FENV_H
#include <fenv.h>
#endif
#ifdef USE_LOCALE
#include "locale.h"
#endif
#ifdef IEEE_Arith
#ifndef NO_IEEE_Scale
#define Avoid_Underflow
#undef tinytens
/* The factor of 2^106 in tinytens[4] helps us avoid setting the underflow */
/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
9007199254740992.*9007199254740992.e-256
};
#endif
#endif
#ifdef Honor_FLT_ROUNDS
#undef Check_FLT_ROUNDS
#define Check_FLT_ROUNDS
#else
#define Rounding Flt_Rounds
#endif
#ifdef Avoid_Underflow /*{*/
static double
sulp
#ifdef KR_headers
(x, scale) U *x; int scale;
#else
(U *x, int scale)
#endif
{
U u;
double rv;
int i;
rv = ulp(x);
if (!scale || (i = 2*P + 1 - ((word0(x) & Exp_mask) >> Exp_shift)) <= 0)
return rv; /* Is there an example where i <= 0 ? */
word0(&u) = Exp_1 + (i << Exp_shift);
word1(&u) = 0;
return rv * u.d;
}
#endif /*}*/
static double
strtod_l
#ifdef KR_headers
(s00, se, loc) CONST char *s00; char **se; locale_t loc
#else
(CONST char *s00, char **se, locale_t loc)
#endif
{
#ifdef Avoid_Underflow
int scale;
#endif
int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, dsign,
e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
CONST char *s, *s0, *s1;
double aadj;
Long L;
U adj, aadj1, rv, rv0;
ULong y, z;
Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
#ifdef Avoid_Underflow
ULong Lsb, Lsb1;
#endif
#ifdef SET_INEXACT
int inexact, oldinexact;
#endif
#ifdef USE_LOCALE /*{{*/
#ifdef NO_LOCALE_CACHE
char *decimalpoint = localeconv_l(loc)->decimal_point;
int dplen = strlen(decimalpoint);
#else
char *decimalpoint;
static char *decimalpoint_cache;
static int dplen;
if (!(s0 = decimalpoint_cache)) {
s0 = localeconv_l(loc)->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}}*/
#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 /*}*/
sign = nz0 = nz = decpt = 0;
dval(&rv) = 0.;
for(s = s00;;s++) switch(*s) {
case '-':
sign = 1;
/* no break */
case '+':
if (*++s)
goto break2;
/* no break */
case 0:
goto ret0;
case '\t':
case '\n':
case '\v':
case '\f':
case '\r':
case ' ':
continue;
default:
goto break2;
}
break2:
if (*s == '0') {
#ifndef NO_HEX_FP /*{*/
{
static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI };
Long exp;
ULong bits[2];
switch(s[1]) {
case 'x':
case 'X':
{
#ifdef Honor_FLT_ROUNDS
FPI fpi1 = fpi;
fpi1.rounding = Rounding;
#else
#define fpi1 fpi
#endif
switch((i = gethex(&s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) {
case STRTOG_NoNumber:
s = s00;
sign = 0;
case STRTOG_Zero:
break;
default:
if (bb) {
copybits(bits, fpi.nbits, bb);
Bfree(bb);
}
ULtod(((U*)&rv)->L, bits, exp, i);
}}
goto ret;
}
}
#endif /*}*/
nz0 = 1;
while(*++s == '0') ;
if (!*s)
goto ret;
}
s0 = s;
y = z = 0;
for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
if (nd < 9)
y = 10*y + c - '0';
else if (nd < 16)
z = 10*z + c - '0';
nd0 = nd;
#ifdef USE_LOCALE
if (c == *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) {
goto ret0;
}
s00 = s;
esign = 0;
switch(c = *++s) {
case '-':
esign = 1;
case '+':
c = *++s;
}
if (c >= '0' && c <= '9') {
while(c == '0')
c = *++s;
if (c > '0' && c <= '9') {
L = c - '0';
s1 = s;
while((c = *++s) >= '0' && c <= '9')
L = 10*L + c - '0';
if (s - s1 > 8 || L > 19999)
/* Avoid confusion from exponents
* so large that e might overflow.
*/
e = 19999; /* safe for 16 bit ints */
else
e = (int)L;
if (esign)
e = -e;
}
else
e = 0;
}
else
s = s00;
}
if (!nd) {
if (!nz && !nz0) {
#ifdef INFNAN_CHECK
/* Check for Nan and Infinity */
ULong bits[2];
static FPI fpinan = /* only 52 explicit bits */
{ 52, 1-1023-53+1, 2046-1023-53+1, 1, SI };
if (!decpt)
switch(c) {
case 'i':
case 'I':
if (match(&s,"nf")) {
--s;
if (!match(&s,"inity"))
++s;
word0(&rv) = 0x7ff00000;
word1(&rv) = 0;
goto ret;
}
break;
case 'n':
case 'N':
if (match(&s, "an")) {
#ifndef No_Hex_NaN
if (*s == '(' /*)*/
&& hexnan(&s, &fpinan, bits)
== STRTOG_NaNbits) {
word0(&rv) = 0x7ff80000 | bits[1];
word1(&rv) = bits[0];
}
else {
#endif
word0(&rv) = NAN_WORD0;
word1(&rv) = NAN_WORD1;
#ifndef No_Hex_NaN
}
#endif
goto ret;
}
}
#endif /* INFNAN_CHECK */
ret0:
s = s00;
sign = 0;
}
goto ret;
}
e1 = e -= nf;
/* Now we have nd0 digits, starting at s0, followed by a
* decimal point, followed by nd-nd0 digits. The number we're
* after is the integer represented by those digits times
* 10**e */
if (!nd0)
nd0 = nd;
k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
dval(&rv) = y;
if (k > 9) {
#ifdef SET_INEXACT
if (k > DBL_DIG)
oldinexact = get_inexact();
#endif
dval(&rv) = tens[k - 9] * dval(&rv) + z;
}
bd0 = 0;
if (nd <= DBL_DIG
#ifndef RND_PRODQUOT
#ifndef Honor_FLT_ROUNDS
&& Flt_Rounds == 1
#endif
#endif
) {
if (!e)
goto ret;
#ifndef ROUND_BIASED_without_Round_Up
if (e > 0) {
if (e <= Ten_pmax) {
#ifdef VAX
goto vax_ovfl_check;
#else
#ifdef Honor_FLT_ROUNDS
/* round correctly FLT_ROUNDS = 2 or 3 */
if (sign) {
rv.d = -rv.d;
sign = 0;
}
#endif
/* rv = */ rounded_product(dval(&rv), tens[e]);
goto ret;
#endif
}
i = DBL_DIG - nd;
if (e <= Ten_pmax + i) {
/* A fancier test would sometimes let us do
* this for larger i values.
*/
#ifdef Honor_FLT_ROUNDS
/* round correctly FLT_ROUNDS = 2 or 3 */
if (sign) {
rv.d = -rv.d;
sign = 0;
}
#endif
e -= i;
dval(&rv) *= tens[i];
#ifdef VAX
/* VAX exponent range is so narrow we must
* worry about overflow here...
*/
vax_ovfl_check:
word0(&rv) -= P*Exp_msk1;
/* rv = */ rounded_product(dval(&rv), tens[e]);
if ((word0(&rv) & Exp_mask)
> Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
goto ovfl;
word0(&rv) += P*Exp_msk1;
#else
/* rv = */ rounded_product(dval(&rv), tens[e]);
#endif
goto ret;
}
}
#ifndef Inaccurate_Divide
else if (e >= -Ten_pmax) {
#ifdef Honor_FLT_ROUNDS
/* round correctly FLT_ROUNDS = 2 or 3 */
if (sign) {
rv.d = -rv.d;
sign = 0;
}
#endif
/* rv = */ rounded_quotient(dval(&rv), tens[-e]);
goto ret;
}
#endif
#endif /* ROUND_BIASED_without_Round_Up */
}
e1 += nd - k;
#ifdef IEEE_Arith
#ifdef SET_INEXACT
inexact = 1;
if (k <= DBL_DIG)
oldinexact = get_inexact();
#endif
#ifdef Avoid_Underflow
scale = 0;
#endif
#ifdef Honor_FLT_ROUNDS
if (Rounding >= 2) {
if (sign)
Rounding = Rounding == 2 ? 0 : 2;
else
if (Rounding != 2)
Rounding = 0;
}
#endif
#endif /*IEEE_Arith*/
/* Get starting approximation = rv * 10**e1 */
if (e1 > 0) {
if ( (i = e1 & 15) !=0)
dval(&rv) *= tens[i];
if (e1 &= ~15) {
if (e1 > DBL_MAX_10_EXP) {
ovfl:
/* Can't trust HUGE_VAL */
#ifdef IEEE_Arith
#ifdef Honor_FLT_ROUNDS
switch(Rounding) {
case 0: /* toward 0 */
case 3: /* toward -infinity */
word0(&rv) = Big0;
word1(&rv) = Big1;
break;
default:
word0(&rv) = Exp_mask;
word1(&rv) = 0;
}
#else /*Honor_FLT_ROUNDS*/
word0(&rv) = Exp_mask;
word1(&rv) = 0;
#endif /*Honor_FLT_ROUNDS*/
#ifdef SET_INEXACT
/* set overflow bit */
dval(&rv0) = 1e300;
dval(&rv0) *= dval(&rv0);
#endif
#else /*IEEE_Arith*/
word0(&rv) = Big0;
word1(&rv) = Big1;
#endif /*IEEE_Arith*/
range_err:
if (bd0) {
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(bd0);
Bfree(delta);
}
#ifndef NO_ERRNO
errno = ERANGE;
#endif
goto ret;
}
e1 >>= 4;
for(j = 0; e1 > 1; j++, e1 >>= 1)
if (e1 & 1)
dval(&rv) *= bigtens[j];
/* The last multiplication could overflow. */
word0(&rv) -= P*Exp_msk1;
dval(&rv) *= bigtens[j];
if ((z = word0(&rv) & Exp_mask)
> Exp_msk1*(DBL_MAX_EXP+Bias-P))
goto ovfl;
if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
/* set to largest number */
/* (Can't trust DBL_MAX) */
word0(&rv) = Big0;
word1(&rv) = Big1;
}
else
word0(&rv) += P*Exp_msk1;
}
}
else if (e1 < 0) {
e1 = -e1;
if ( (i = e1 & 15) !=0)
dval(&rv) /= tens[i];
if (e1 >>= 4) {
if (e1 >= 1 << n_bigtens)
goto undfl;
#ifdef Avoid_Underflow
if (e1 & Scale_Bit)
scale = 2*P;
for(j = 0; e1 > 0; j++, e1 >>= 1)
if (e1 & 1)
dval(&rv) *= tinytens[j];
if (scale && (j = 2*P + 1 - ((word0(&rv) & Exp_mask)
>> Exp_shift)) > 0) {
/* scaled rv is denormal; zap j low bits */
if (j >= 32) {
word1(&rv) = 0;
if (j >= 53)
word0(&rv) = (P+2)*Exp_msk1;
else
word0(&rv) &= 0xffffffff << (j-32);
}
else
word1(&rv) &= 0xffffffff << j;
}
#else
for(j = 0; e1 > 1; j++, e1 >>= 1)
if (e1 & 1)
dval(&rv) *= tinytens[j];
/* The last multiplication could underflow. */
dval(&rv0) = dval(&rv);
dval(&rv) *= tinytens[j];
if (!dval(&rv)) {
dval(&rv) = 2.*dval(&rv0);
dval(&rv) *= tinytens[j];
#endif
if (!dval(&rv)) {
undfl:
dval(&rv) = 0.;
goto range_err;
}
#ifndef Avoid_Underflow
word0(&rv) = Tiny0;
word1(&rv) = Tiny1;
/* The refinement below will clean
* this approximation up.
*/
}
#endif
}
}
/* 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 = d2b(dval(&rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
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;
#ifdef Honor_FLT_ROUNDS
if (Rounding != 1)
bs2++;
#endif
#ifdef Avoid_Underflow
Lsb = LSB;
Lsb1 = 0;
j = bbe - scale;
i = j + bbbits - 1; /* logb(rv) */
j = P + 1 - bbbits;
if (i < Emin) { /* denormal */
i = Emin - i;
j -= i;
if (i < 32)
Lsb <<= i;
else
Lsb1 = Lsb << (i-32);
}
#else /*Avoid_Underflow*/
#ifdef Sudden_Underflow
#ifdef IBM
j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
#else
j = P + 1 - bbbits;
#endif
#else /*Sudden_Underflow*/
j = bbe;
i = j + bbbits - 1; /* logb(&rv) */
if (i < Emin) /* denormal */
j += P - Emin;
else
j = P + 1 - bbbits;
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
bb2 += j;
bd2 += j;
#ifdef Avoid_Underflow
bd2 += scale;
#endif
i = bb2 < bd2 ? bb2 : bd2;
if (i > bs2)
i = bs2;
if (i > 0) {
bb2 -= i;
bd2 -= i;
bs2 -= i;
}
if (bb5 > 0) {
bs = pow5mult(bs, bb5);
bb1 = mult(bs, bb);
Bfree(bb);
bb = bb1;
}
if (bb2 > 0)
bb = lshift(bb, bb2);
if (bd5 > 0)
bd = pow5mult(bd, bd5);
if (bd2 > 0)
bd = lshift(bd, bd2);
if (bs2 > 0)
bs = lshift(bs, bs2);
delta = diff(bb, bd);
dsign = delta->sign;
delta->sign = 0;
i = cmp(delta, bs);
#ifdef Honor_FLT_ROUNDS
if (Rounding != 1) {
if (i < 0) {
/* Error is less than an ulp */
if (!delta->x[0] && delta->wds <= 1) {
/* exact */
#ifdef SET_INEXACT
inexact = 0;
#endif
break;
}
if (Rounding) {
if (dsign) {
dval(&adj) = 1.;
goto apply_adj;
}
}
else if (!dsign) {
dval(&adj) = -1.;
if (!word1(&rv)
&& !(word0(&rv) & Frac_mask)) {
y = word0(&rv) & Exp_mask;
#ifdef Avoid_Underflow
if (!scale || y > 2*P*Exp_msk1)
#else
if (y)
#endif
{
delta = lshift(delta,Log2P);
if (cmp(delta, bs) <= 0)
dval(&adj) = -0.5;
}
}
apply_adj:
#ifdef Avoid_Underflow
if (scale && (y = word0(&rv) & Exp_mask)
<= 2*P*Exp_msk1)
word0(&adj) += (2*P+1)*Exp_msk1 - y;
#else
#ifdef Sudden_Underflow
if ((word0(&rv) & Exp_mask) <=
P*Exp_msk1) {
word0(&rv) += P*Exp_msk1;
dval(&rv) += adj*ulp(&rv);
word0(&rv) -= P*Exp_msk1;
}
else
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
dval(&rv) += adj.d*ulp(&rv);
}
break;
}
dval(&adj) = ratio(delta, bs);
if (adj.d < 1.)
dval(&adj) = 1.;
if (adj.d <= 0x7ffffffe) {
/* dval(&adj) = Rounding ? ceil(&adj) : floor(&adj); */
y = adj.d;
if (y != adj.d) {
if (!((Rounding>>1) ^ dsign))
y++;
dval(&adj) = y;
}
}
#ifdef Avoid_Underflow
if (scale && (y = word0(&rv) & Exp_mask) <= 2*P*Exp_msk1)
word0(&adj) += (2*P+1)*Exp_msk1 - y;
#else
#ifdef Sudden_Underflow
if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) {
word0(&rv) += P*Exp_msk1;
dval(&adj) *= ulp(&rv);
if (dsign)
dval(&rv) += adj;
else
dval(&rv) -= adj;
word0(&rv) -= P*Exp_msk1;
goto cont;
}
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
dval(&adj) *= ulp(&rv);
if (dsign) {
if (word0(&rv) == Big0 && word1(&rv) == Big1)
goto ovfl;
dval(&rv) += adj.d;
}
else
dval(&rv) -= adj.d;
goto cont;
}
#endif /*Honor_FLT_ROUNDS*/
if (i < 0) {
/* Error is less than half an ulp -- check for
* special case of mantissa a power of two.
*/
if (dsign || word1(&rv) || word0(&rv) & Bndry_mask
#ifdef IEEE_Arith
#ifdef Avoid_Underflow
|| (word0(&rv) & Exp_mask) <= (2*P+1)*Exp_msk1
#else
|| (word0(&rv) & Exp_mask) <= Exp_msk1
#endif
#endif
) {
#ifdef SET_INEXACT
if (!delta->x[0] && delta->wds <= 1)
inexact = 0;
#endif
break;
}
if (!delta->x[0] && delta->wds <= 1) {
/* exact result */
#ifdef SET_INEXACT
inexact = 0;
#endif
break;
}
delta = lshift(delta,Log2P);
if (cmp(delta, bs) > 0)
goto drop_down;
break;
}
if (i == 0) {
/* exactly half-way between */
if (dsign) {
if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
&& word1(&rv) == (
#ifdef Avoid_Underflow
(scale && (y = word0(&rv) & Exp_mask) <= 2*P*Exp_msk1)
? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
#endif
0xffffffff)) {
/*boundary case -- increment exponent*/
if (word0(&rv) == Big0 && word1(&rv) == Big1)
goto ovfl;
word0(&rv) = (word0(&rv) & Exp_mask)
+ Exp_msk1
#ifdef IBM
| Exp_msk1 >> 4
#endif
;
word1(&rv) = 0;
#ifdef Avoid_Underflow
dsign = 0;
#endif
break;
}
}
else if (!(word0(&rv) & Bndry_mask) && !word1(&rv)) {
drop_down:
/* boundary case -- decrement exponent */
#ifdef Sudden_Underflow /*{{*/
L = word0(&rv) & Exp_mask;
#ifdef IBM
if (L < Exp_msk1)
#else
#ifdef Avoid_Underflow
if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
#else
if (L <= Exp_msk1)
#endif /*Avoid_Underflow*/
#endif /*IBM*/
goto undfl;
L -= Exp_msk1;
#else /*Sudden_Underflow}{*/
#ifdef Avoid_Underflow
if (scale) {
L = word0(&rv) & Exp_mask;
if (L <= (2*P+1)*Exp_msk1) {
if (L > (P+2)*Exp_msk1)
/* round even ==> */
/* accept rv */
break;
/* rv = smallest denormal */
goto undfl;
}
}
#endif /*Avoid_Underflow*/
L = (word0(&rv) & Exp_mask) - Exp_msk1;
#endif /*Sudden_Underflow}}*/
word0(&rv) = L | Bndry_mask1;
word1(&rv) = 0xffffffff;
#ifdef IBM
goto cont;
#else
break;
#endif
}
#ifndef ROUND_BIASED
#ifdef Avoid_Underflow
if (Lsb1) {
if (!(word0(&rv) & Lsb1))
break;
}
else if (!(word1(&rv) & Lsb))
break;
#else
if (!(word1(&rv) & LSB))
break;
#endif
#endif
if (dsign)
#ifdef Avoid_Underflow
dval(&rv) += sulp(&rv, scale);
#else
dval(&rv) += ulp(&rv);
#endif
#ifndef ROUND_BIASED
else {
#ifdef Avoid_Underflow
dval(&rv) -= sulp(&rv, scale);
#else
dval(&rv) -= ulp(&rv);
#endif
#ifndef Sudden_Underflow
if (!dval(&rv))
goto undfl;
#endif
}
#ifdef Avoid_Underflow
dsign = 1 - dsign;
#endif
#endif
break;
}
if ((aadj = ratio(delta, bs)) <= 2.) {
if (dsign)
aadj = dval(&aadj1) = 1.;
else if (word1(&rv) || word0(&rv) & Bndry_mask) {
#ifndef Sudden_Underflow
if (word1(&rv) == Tiny1 && !word0(&rv))
goto undfl;
#endif
aadj = 1.;
dval(&aadj1) = -1.;
}
else {
/* special case -- power of FLT_RADIX to be */
/* rounded down... */
if (aadj < 2./FLT_RADIX)
aadj = 1./FLT_RADIX;
else
aadj *= 0.5;
dval(&aadj1) = -aadj;
}
}
else {
aadj *= 0.5;
dval(&aadj1) = dsign ? aadj : -aadj;
#ifdef Check_FLT_ROUNDS
switch(Rounding) {
case 2: /* towards +infinity */
dval(&aadj1) -= 0.5;
break;
case 0: /* towards 0 */
case 3: /* towards -infinity */
dval(&aadj1) += 0.5;
}
#else
if (Flt_Rounds == 0)
dval(&aadj1) += 0.5;
#endif /*Check_FLT_ROUNDS*/
}
y = word0(&rv) & Exp_mask;
/* Check for overflow */
if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
dval(&rv0) = dval(&rv);
word0(&rv) -= P*Exp_msk1;
dval(&adj) = dval(&aadj1) * ulp(&rv);
dval(&rv) += dval(&adj);
if ((word0(&rv) & Exp_mask) >=
Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
if (word0(&rv0) == Big0 && word1(&rv0) == Big1)
goto ovfl;
word0(&rv) = Big0;
word1(&rv) = Big1;
goto cont;
}
else
word0(&rv) += P*Exp_msk1;
}
else {
#ifdef Avoid_Underflow
if (scale && y <= 2*P*Exp_msk1) {
if (aadj <= 0x7fffffff) {
if ((z = aadj) <= 0)
z = 1;
aadj = z;
dval(&aadj1) = dsign ? aadj : -aadj;
}
word0(&aadj1) += (2*P+1)*Exp_msk1 - y;
}
dval(&adj) = dval(&aadj1) * ulp(&rv);
dval(&rv) += dval(&adj);
#else
#ifdef Sudden_Underflow
if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) {
dval(&rv0) = dval(&rv);
word0(&rv) += P*Exp_msk1;
dval(&adj) = dval(&aadj1) * ulp(&rv);
dval(&rv) += adj;
#ifdef IBM
if ((word0(&rv) & Exp_mask) < P*Exp_msk1)
#else
if ((word0(&rv) & Exp_mask) <= P*Exp_msk1)
#endif
{
if (word0(&rv0) == Tiny0
&& word1(&rv0) == Tiny1)
goto undfl;
word0(&rv) = Tiny0;
word1(&rv) = Tiny1;
goto cont;
}
else
word0(&rv) -= P*Exp_msk1;
}
else {
dval(&adj) = dval(&aadj1) * ulp(&rv);
dval(&rv) += adj;
}
#else /*Sudden_Underflow*/
/* Compute dval(&adj) so that the IEEE rounding rules will
* correctly round rv + dval(&adj) in some half-way cases.
* If rv * ulp(&rv) is denormalized (i.e.,
* y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
* trouble from bits lost to denormalization;
* example: 1.2e-307 .
*/
if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
dval(&aadj1) = (double)(int)(aadj + 0.5);
if (!dsign)
dval(&aadj1) = -dval(&aadj1);
}
dval(&adj) = dval(&aadj1) * ulp(&rv);
dval(&rv) += adj;
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
}
z = word0(&rv) & Exp_mask;
#ifndef SET_INEXACT
#ifdef Avoid_Underflow
if (!scale)
#endif
if (y == z) {
/* Can we stop now? */
L = (Long)aadj;
aadj -= L;
/* The tolerances below are conservative. */
if (dsign || word1(&rv) || word0(&rv) & Bndry_mask) {
if (aadj < .4999999 || aadj > .5000001)
break;
}
else if (aadj < .4999999/FLT_RADIX)
break;
}
#endif
cont:
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(delta);
}
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(bd0);
Bfree(delta);
#ifdef SET_INEXACT
if (inexact) {
if (!oldinexact) {
word0(&rv0) = Exp_1 + (70 << Exp_shift);
word1(&rv0) = 0;
dval(&rv0) += 1.;
}
}
else if (!oldinexact)
clear_inexact();
#endif
#ifdef Avoid_Underflow
if (scale) {
word0(&rv0) = Exp_1 - 2*P*Exp_msk1;
word1(&rv0) = 0;
dval(&rv) *= dval(&rv0);
#ifndef NO_ERRNO
/* try to avoid the bug of testing an 8087 register value */
#ifdef IEEE_Arith
if (!(word0(&rv) & Exp_mask))
#else
if (word0(&rv) == 0 && word1(&rv) == 0)
#endif
errno = ERANGE;
#endif
}
#endif /* Avoid_Underflow */
#ifdef SET_INEXACT
if (inexact && !(word0(&rv) & Exp_mask)) {
/* set underflow bit */
dval(&rv0) = 1e-300;
dval(&rv0) *= dval(&rv0);
}
#endif
ret:
if (se)
*se = (char *)s;
return sign ? -dval(&rv) : dval(&rv);
}
double
strtod
#ifdef KR_headers
(s00, se, loc) CONST char *s00; char **se; locale_t
#else
(CONST char *s00, char **se)
#endif
{
return strtod_l(s00, se, 0);
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998-2001 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
#ifdef USE_LOCALE
#include "locale.h"
#endif
static CONST int
fivesbits[] = { 0, 3, 5, 7, 10, 12, 14, 17, 19, 21,
24, 26, 28, 31, 33, 35, 38, 40, 42, 45,
47, 49, 52
#ifdef VAX
, 54, 56
#endif
};
Bigint *
#ifdef KR_headers
increment(b) Bigint *b;
#else
increment(Bigint *b)
#endif
{
ULong *x, *xe;
Bigint *b1;
#ifdef Pack_16
ULong carry = 1, y;
#endif
x = b->x;
xe = x + b->wds;
#ifdef Pack_32
do {
if (*x < (ULong)0xffffffffL) {
++*x;
return b;
}
*x++ = 0;
} while(x < xe);
#else
do {
y = *x + carry;
carry = y >> 16;
*x++ = y & 0xffff;
if (!carry)
return b;
} while(x < xe);
if (carry)
#endif
{
if (b->wds >= b->maxwds) {
b1 = Balloc(b->k+1);
Bcopy(b1,b);
Bfree(b);
b = b1;
}
b->x[b->wds++] = 1;
}
return b;
}
void
#ifdef KR_headers
decrement(b) Bigint *b;
#else
decrement(Bigint *b)
#endif
{
ULong *x, *xe;
#ifdef Pack_16
ULong borrow = 1, y;
#endif
x = b->x;
xe = x + b->wds;
#ifdef Pack_32
do {
if (*x) {
--*x;
break;
}
*x++ = 0xffffffffL;
}
while(x < xe);
#else
do {
y = *x - borrow;
borrow = (y & 0x10000) >> 16;
*x++ = y & 0xffff;
} while(borrow && x < xe);
#endif
}
static int
#ifdef KR_headers
all_on(b, n) Bigint *b; int n;
#else
all_on(Bigint *b, int n)
#endif
{
ULong *x, *xe;
x = b->x;
xe = x + (n >> kshift);
while(x < xe)
if ((*x++ & ALL_ON) != ALL_ON)
return 0;
if (n &= kmask)
return ((*x | (ALL_ON << n)) & ALL_ON) == ALL_ON;
return 1;
}
Bigint *
#ifdef KR_headers
set_ones(b, n) Bigint *b; int n;
#else
set_ones(Bigint *b, int n)
#endif
{
int k;
ULong *x, *xe;
k = (n + ((1 << kshift) - 1)) >> kshift;
if (b->k < k) {
Bfree(b);
b = Balloc(k);
}
k = n >> kshift;
if (n &= kmask)
k++;
b->wds = k;
x = b->x;
xe = x + k;
while(x < xe)
*x++ = ALL_ON;
if (n)
x[-1] >>= ULbits - n;
return b;
}
static int
rvOK
#ifdef KR_headers
(d, fpi, exp, bits, exact, rd, irv)
U *d; FPI *fpi; Long *exp; ULong *bits; int exact, rd, *irv;
#else
(U *d, FPI *fpi, Long *exp, ULong *bits, int exact, int rd, int *irv)
#endif
{
Bigint *b;
ULong carry, inex, lostbits;
int bdif, e, j, k, k1, nb, rv;
carry = rv = 0;
b = d2b(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;
#ifndef NO_ERRNO
errno = ERANGE;
#endif
b->wds = inex = 0;
}
*exp = e;
copybits(bits, nb, b);
*irv |= inex;
rv = 1;
ret:
Bfree(b);
return rv;
}
static int
#ifdef KR_headers
mantbits(d) U *d;
#else
mantbits(U *d)
#endif
{
ULong L;
#ifdef VAX
L = word1(d) << 16 | word1(d) >> 16;
if (L)
#else
if ( (L = word1(d)) !=0)
#endif
return P - lo0bits(&L);
#ifdef VAX
L = word0(d) << 16 | word0(d) >> 16 | Exp_msk11;
#else
L = word0(d) | Exp_msk1;
#endif
return P - 32 - lo0bits(&L);
}
int
strtodg_l
#ifdef KR_headers
(s00, se, fpi, exp, bits, loc)
CONST char *s00; char **se; FPI *fpi; Long *exp; ULong *bits; locale_t loc;
#else
(CONST char *s00, char **se, FPI *fpi, Long *exp, ULong *bits, locale_t loc)
#endif
{
int abe, abits, asub;
int bb0, bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, denorm;
int dsign, e, e1, e2, emin, esign, finished, i, inex, irv;
int j, k, nbits, nd, nd0, nf, nz, nz0, rd, rvbits, rve, rve1, sign;
int sudden_underflow;
CONST char *s, *s0, *s1;
double adj0, tol;
Long L;
U 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_l(loc)->decimal_point;
int dplen = strlen(decimalpoint);
#else
char *decimalpoint;
static char *decimalpoint_cache;
static int dplen;
if (!(s0 = decimalpoint_cache)) {
s0 = localeconv_l(loc)->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, exp, &rvb, sign);
if (irv == STRTOG_NoNumber) {
s = s00;
sign = 0;
}
goto ret;
}
#endif
nz0 = 1;
while(*++s == '0') ;
if (!*s)
goto ret;
}
sudden_underflow = fpi->sudden_underflow;
s0 = s;
y = z = 0;
for(decpt = nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
if (nd < 9)
y = 10*y + c - '0';
else if (nd < 16)
z = 10*z + c - '0';
nd0 = nd;
#ifdef USE_LOCALE
if (c == *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;
*exp = fpi->emax + 1;
#ifndef No_Hex_NaN
if (*s == '(') /*)*/
irv = hexnan(&s, fpi, bits);
#endif
goto infnanexp;
}
}
#endif /* INFNAN_CHECK */
irv = STRTOG_NoNumber;
s = s00;
}
goto ret;
}
irv = STRTOG_Normal;
e1 = e -= nf;
rd = 0;
switch(fpi->rounding & 3) {
case FPI_Round_up:
rd = 2 - sign;
break;
case FPI_Round_zero:
rd = 1;
break;
case FPI_Round_down:
rd = 1 + sign;
}
/* Now we have nd0 digits, starting at s0, followed by a
* decimal point, followed by nd-nd0 digits. The number we're
* after is the integer represented by those digits times
* 10**e */
if (!nd0)
nd0 = nd;
k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
dval(&rv) = y;
if (k > 9)
dval(&rv) = tens[k - 9] * dval(&rv) + z;
bd0 = 0;
if (nbits <= P && nd <= DBL_DIG) {
if (!e) {
if (rvOK(&rv, fpi, exp, bits, 1, rd, &irv))
goto ret;
}
else if (e > 0) {
if (e <= Ten_pmax) {
#ifdef VAX
goto vax_ovfl_check;
#else
i = fivesbits[e] + mantbits(&rv) <= P;
/* rv = */ rounded_product(dval(&rv), tens[e]);
if (rvOK(&rv, fpi, exp, bits, i, rd, &irv))
goto ret;
e1 -= e;
goto rv_notOK;
#endif
}
i = DBL_DIG - nd;
if (e <= Ten_pmax + i) {
/* A fancier test would sometimes let us do
* this for larger i values.
*/
e2 = e - i;
e1 -= i;
dval(&rv) *= tens[i];
#ifdef VAX
/* VAX exponent range is so narrow we must
* worry about overflow here...
*/
vax_ovfl_check:
dval(&adj) = dval(&rv);
word0(&adj) -= P*Exp_msk1;
/* adj = */ rounded_product(dval(&adj), tens[e2]);
if ((word0(&adj) & Exp_mask)
> Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
goto rv_notOK;
word0(&adj) += P*Exp_msk1;
dval(&rv) = dval(&adj);
#else
/* rv = */ rounded_product(dval(&rv), tens[e2]);
#endif
if (rvOK(&rv, fpi, exp, bits, 0, rd, &irv))
goto ret;
e1 -= e2;
}
}
#ifndef Inaccurate_Divide
else if (e >= -Ten_pmax) {
/* rv = */ rounded_quotient(dval(&rv), tens[-e]);
if (rvOK(&rv, fpi, exp, bits, 0, rd, &irv))
goto ret;
e1 -= e;
}
#endif
}
rv_notOK:
e1 += nd - k;
/* Get starting approximation = rv * 10**e1 */
e2 = 0;
if (e1 > 0) {
if ( (i = e1 & 15) !=0)
dval(&rv) *= tens[i];
if (e1 &= ~15) {
e1 >>= 4;
while(e1 >= (1 << (n_bigtens-1))) {
e2 += ((word0(&rv) & Exp_mask)
>> Exp_shift1) - Bias;
word0(&rv) &= ~Exp_mask;
word0(&rv) |= Bias << Exp_shift1;
dval(&rv) *= bigtens[n_bigtens-1];
e1 -= 1 << (n_bigtens-1);
}
e2 += ((word0(&rv) & Exp_mask) >> Exp_shift1) - Bias;
word0(&rv) &= ~Exp_mask;
word0(&rv) |= Bias << Exp_shift1;
for(j = 0; e1 > 0; j++, e1 >>= 1)
if (e1 & 1)
dval(&rv) *= bigtens[j];
}
}
else if (e1 < 0) {
e1 = -e1;
if ( (i = e1 & 15) !=0)
dval(&rv) /= tens[i];
if (e1 &= ~15) {
e1 >>= 4;
while(e1 >= (1 << (n_bigtens-1))) {
e2 += ((word0(&rv) & Exp_mask)
>> Exp_shift1) - Bias;
word0(&rv) &= ~Exp_mask;
word0(&rv) |= Bias << Exp_shift1;
dval(&rv) *= tinytens[n_bigtens-1];
e1 -= 1 << (n_bigtens-1);
}
e2 += ((word0(&rv) & Exp_mask) >> Exp_shift1) - Bias;
word0(&rv) &= ~Exp_mask;
word0(&rv) |= Bias << Exp_shift1;
for(j = 0; e1 > 0; j++, e1 >>= 1)
if (e1 & 1)
dval(&rv) *= tinytens[j];
}
}
#ifdef IBM
/* e2 is a correction to the (base 2) exponent of the return
* value, reflecting adjustments above to avoid overflow in the
* native arithmetic. For native IBM (base 16) arithmetic, we
* must multiply e2 by 4 to change from base 16 to 2.
*/
e2 <<= 2;
#endif
rvb = d2b(dval(&rv), &rve, &rvbits); /* rv = rvb * 2^rve */
rve += e2;
if ((j = rvbits - nbits) > 0) {
rshift(rvb, j);
rvbits = nbits;
rve += j;
}
bb0 = 0; /* trailing zero bits in rvb */
e2 = rve + rvbits - nbits;
if (e2 > fpi->emax + 1)
goto huge;
rve1 = rve + rvbits - nbits;
if (e2 < (emin = fpi->emin)) {
denorm = 1;
j = rve - emin;
if (j > 0) {
rvb = lshift(rvb, j);
rvbits += j;
}
else if (j < 0) {
rvbits += j;
if (rvbits <= 0) {
if (rvbits < -1) {
ufl:
rvb->wds = 0;
rvb->x[0] = 0;
*exp = emin;
irv = STRTOG_Underflow | STRTOG_Inexlo;
goto ret;
}
rvb->x[0] = rvb->wds = rvbits = 1;
}
else
rshift(rvb, -j);
}
rve = rve1 = emin;
if (sudden_underflow && e2 + 1 < emin)
goto ufl;
}
/* Now the hard part -- adjusting rv to the correct value.*/
/* Put digits into bd: true value = bd * 10^e */
bd0 = s2b(s0, nd0, nd, y, 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(dval(&rv)); */
/* if (asub) rv -= adj; else rv += adj; */
if (!denorm && rvbits < nbits) {
rvb = lshift(rvb, j = nbits - rvbits);
rve -= j;
rvbits = nbits;
}
ab = d2b(dval(&adj), &abe, &abits);
if (abe < 0)
rshift(ab, -abe);
else if (abe > 0)
ab = lshift(ab, abe);
rvb0 = rvb;
if (asub) {
/* rv -= adj; */
j = hi0bits(rvb->x[rvb->wds-1]);
rvb = diff(rvb, ab);
k = rvb0->wds - 1;
if (denorm)
/* do nothing */;
else if (rvb->wds <= k
|| hi0bits( rvb->x[k]) >
hi0bits(rvb0->x[k])) {
/* unlikely; can only have lost 1 high bit */
if (rve1 == emin) {
--rvbits;
denorm = 1;
}
else {
rvb = lshift(rvb, 1);
--rve;
--rve1;
L = finished = 0;
}
}
}
else {
rvb = sum(rvb, ab);
k = rvb->wds - 1;
if (k >= rvb0->wds
|| hi0bits(rvb->x[k]) < hi0bits(rvb0->x[k])) {
if (denorm) {
if (++rvbits == nbits)
denorm = 0;
}
else {
rshift(rvb, 1);
rve++;
rve1++;
L = 0;
}
}
}
Bfree(ab);
Bfree(rvb0);
if (finished)
break;
z = rve + rvbits;
if (y == z && L) {
/* Can we stop now? */
tol = dval(&adj) * 5e-16; /* > max rel error */
dval(&adj) = adj0 - .5;
if (dval(&adj) < -tol) {
if (adj0 > tol) {
irv |= inex;
break;
}
}
else if (dval(&adj) > tol && adj0 < 1. - tol) {
irv |= inex;
break;
}
}
bb0 = denorm ? 0 : trailz(rvb);
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(delta);
}
if (!denorm && (j = nbits - rvbits)) {
if (j > 0)
rvb = lshift(rvb, j);
else
rshift(rvb, -j);
rve -= j;
}
*exp = rve;
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(bd0);
Bfree(delta);
if (rve > fpi->emax) {
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;
*exp = 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;
#ifndef NO_ERRNO
errno = ERANGE;
#endif
infnanexp:
*exp = fpi->emax + 1;
}
ret:
if (denorm) {
if (sudden_underflow) {
rvb->wds = 0;
irv = STRTOG_Underflow | STRTOG_Inexlo;
#ifndef NO_ERRNO
errno = ERANGE;
#endif
}
else {
irv = (irv & ~STRTOG_Retmask) |
(rvb->wds > 0 ? STRTOG_Denormal : STRTOG_Zero);
if (irv & STRTOG_Inexact) {
irv |= STRTOG_Underflow;
#ifndef NO_ERRNO
errno = ERANGE;
#endif
}
}
}
if (se)
*se = (char *)s;
if (sign)
irv |= STRTOG_Neg;
if (rvb) {
copybits(bits, nbits, rvb);
Bfree(rvb);
}
return irv;
}
/****************************************************************
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 "."). */
/* $FreeBSD$ */
#include "gdtoaimp.h"
static float
#ifdef KR_headers
strtof_l(s, sp, loc) CONST char *s; char **sp; locale_t loc;
#else
strtof_l(CONST char *s, char **sp, locale_t loc)
#endif
{
static FPI fpi0 = { 24, 1-127-24+1, 254-127-24+1, 1, SI };
ULong bits[1];
Long exp;
int k;
union { ULong L[1]; float f; } u;
#ifdef Honor_FLT_ROUNDS
#include "gdtoa_fltrnds.h"
#else
#define fpi &fpi0
#endif
k = strtodg_l(s, sp, fpi, &exp, bits, loc);
switch(k & STRTOG_Retmask) {
case STRTOG_NoNumber:
case STRTOG_Zero:
u.L[0] = 0;
break;
case STRTOG_Normal:
u.L[0] = (bits[0] & 0x7fffff) | ((exp + 0x7f + 23) << 23);
break;
case STRTOG_NaNbits:
/* FreeBSD local: always return a quiet NaN */
u.L[0] = bits[0] | 0x7fc00000;
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
#ifdef KR_headers
strtof(s, sp) CONST char *s; char **sp;
#else
strtof(CONST char *s, char **sp)
#endif
{
// return strtof_l(s, sp, __get_locale());
return strtof_l(s, sp, NULL);
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998, 2000 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
void
#ifdef KR_headers
ULtod(L, bits, exp, k) ULong *L; ULong *bits; Long exp; int k;
#else
ULtod(ULong *L, ULong *bits, Long exp, int k)
#endif
{
switch(k & STRTOG_Retmask) {
case STRTOG_NoNumber:
case STRTOG_Zero:
L[0] = L[1] = 0;
break;
case STRTOG_Denormal:
L[_1] = bits[0];
L[_0] = bits[1];
break;
case STRTOG_Normal:
case STRTOG_NaNbits:
L[_1] = bits[0];
L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20);
break;
case STRTOG_Infinite:
L[_0] = 0x7ff00000;
L[_1] = 0;
break;
case STRTOG_NaN:
L[0] = d_QNAN0;
L[1] = d_QNAN1;
}
if (k & STRTOG_Neg)
L[_0] |= 0x80000000L;
}
int
#ifdef KR_headers
strtord_l(s, sp, rounding, d, locale) CONST char *s; char **sp; int rounding;
double *d; locale_t locale;
#else
strtord_l(CONST char *s, char **sp, int rounding, double *d, locale_t locale)
#endif
{
static FPI fpi0 = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI };
FPI *fpi, fpi1;
ULong bits[2];
Long exp;
int k;
fpi = &fpi0;
if (rounding != FPI_Round_near) {
fpi1 = fpi0;
fpi1.rounding = rounding;
fpi = &fpi1;
}
k = strtodg_l(s, sp, fpi, &exp, bits, locale);
ULtod((ULong*)d, bits, exp, k);
return k;
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
Bigint *
#ifdef KR_headers
sum(a, b) Bigint *a; Bigint *b;
#else
sum(Bigint *a, Bigint *b)
#endif
{
Bigint *c;
ULong carry, *xc, *xa, *xb, *xe, y;
#ifdef Pack_32
ULong z;
#endif
if (a->wds < b->wds) {
c = b; b = a; a = c;
}
c = Balloc(a->k);
c->wds = a->wds;
carry = 0;
xa = a->x;
xb = b->x;
xc = c->x;
xe = xc + b->wds;
#ifdef Pack_32
do {
y = (*xa & 0xffff) + (*xb & 0xffff) + carry;
carry = (y & 0x10000) >> 16;
z = (*xa++ >> 16) + (*xb++ >> 16) + carry;
carry = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
}
while(xc < xe);
xe += a->wds - b->wds;
while(xc < xe) {
y = (*xa & 0xffff) + carry;
carry = (y & 0x10000) >> 16;
z = (*xa++ >> 16) + carry;
carry = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
}
#else
do {
y = *xa++ + *xb++ + carry;
carry = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
}
while(xc < xe);
xe += a->wds - b->wds;
while(xc < xe) {
y = *xa++ + carry;
carry = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
}
#endif
if (carry) {
if (c->wds == c->maxwds) {
b = Balloc(c->k + 1);
Bcopy(b, c);
Bfree(c);
c = b;
}
c->x[c->wds++] = 1;
}
return c;
}
/****************************************************************
The author of this software is David M. Gay.
Copyright (C) 1998, 1999 by Lucent Technologies
All Rights Reserved
Permission to use, copy, modify, and distribute this software and
its documentation for any purpose and without fee is hereby
granted, provided that the above copyright notice appear in all
copies and that both that the copyright notice and this
permission notice and warranty disclaimer appear in supporting
documentation, and that the name of Lucent or any of its entities
not be used in advertising or publicity pertaining to
distribution of the software without specific, written prior
permission.
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.
****************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
* with " at " changed at "@" and " dot " changed to "."). */
#include "gdtoaimp.h"
double
ulp
#ifdef KR_headers
(x) U *x;
#else
(U *x)
#endif
{
Long L;
U a;
L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
#ifndef Sudden_Underflow
if (L > 0) {
#endif
#ifdef IBM
L |= Exp_msk1 >> 4;
#endif
word0(&a) = L;
word1(&a) = 0;
#ifndef Sudden_Underflow
}
else {
L = -L >> Exp_shift;
if (L < Exp_shift) {
word0(&a) = 0x80000 >> L;
word1(&a) = 0;
}
else {
word0(&a) = 0;
L -= Exp_shift;
word1(&a) = L >= 31 ? 1 : 1 << (31 - L);
}
}
#endif
return dval(&a);
}
/*
* Copyright (c) 1987 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms are permitted
* provided that the above copyright notice and this paragraph are
* duplicated in all such forms and that any documentation,
* advertising materials, and other materials related to such
* distribution and use acknowledge that the software was developed
* by the University of California, Berkeley. The name of the
* University may not be used to endorse or promote products derived
* from this software without specific prior written permission.
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
* WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*/
#if defined(LIBC_SCCS) && !defined(lint)
static char sccsid[] = "@(#)strcasecmp.c 5.6 (Berkeley) 6/27/88";
#endif /* LIBC_SCCS and not lint */
// #include <strings.h>
// #include <ctype.h>
/* Some environments don't define u_char -- WZV */
#if 0
#include <sys/types.h>
#else
typedef unsigned char u_char;
#endif
/*
* This array is designed for mapping upper and lower case letter
* together for a case independent comparison. The mappings are
* based upon ascii character sequences.
*/
static u_char charmap[] = {
'\000', '\001', '\002', '\003', '\004', '\005', '\006', '\007',
'\010', '\011', '\012', '\013', '\014', '\015', '\016', '\017',
'\020', '\021', '\022', '\023', '\024', '\025', '\026', '\027',
'\030', '\031', '\032', '\033', '\034', '\035', '\036', '\037',
'\040', '\041', '\042', '\043', '\044', '\045', '\046', '\047',
'\050', '\051', '\052', '\053', '\054', '\055', '\056', '\057',
'\060', '\061', '\062', '\063', '\064', '\065', '\066', '\067',
'\070', '\071', '\072', '\073', '\074', '\075', '\076', '\077',
'\100', '\141', '\142', '\143', '\144', '\145', '\146', '\147',
'\150', '\151', '\152', '\153', '\154', '\155', '\156', '\157',
'\160', '\161', '\162', '\163', '\164', '\165', '\166', '\167',
'\170', '\171', '\172', '\133', '\134', '\135', '\136', '\137',
'\140', '\141', '\142', '\143', '\144', '\145', '\146', '\147',
'\150', '\151', '\152', '\153', '\154', '\155', '\156', '\157',
'\160', '\161', '\162', '\163', '\164', '\165', '\166', '\167',
'\170', '\171', '\172', '\173', '\174', '\175', '\176', '\177',
'\200', '\201', '\202', '\203', '\204', '\205', '\206', '\207',
'\210', '\211', '\212', '\213', '\214', '\215', '\216', '\217',
'\220', '\221', '\222', '\223', '\224', '\225', '\226', '\227',
'\230', '\231', '\232', '\233', '\234', '\235', '\236', '\237',
'\240', '\241', '\242', '\243', '\244', '\245', '\246', '\247',
'\250', '\251', '\252', '\253', '\254', '\255', '\256', '\257',
'\260', '\261', '\262', '\263', '\264', '\265', '\266', '\267',
'\270', '\271', '\272', '\273', '\274', '\275', '\276', '\277',
'\300', '\341', '\342', '\343', '\344', '\345', '\346', '\347',
'\350', '\351', '\352', '\353', '\354', '\355', '\356', '\357',
'\360', '\361', '\362', '\363', '\364', '\365', '\366', '\367',
'\370', '\371', '\372', '\333', '\334', '\335', '\336', '\337',
'\340', '\341', '\342', '\343', '\344', '\345', '\346', '\347',
'\350', '\351', '\352', '\353', '\354', '\355', '\356', '\357',
'\360', '\361', '\362', '\363', '\364', '\365', '\366', '\367',
'\370', '\371', '\372', '\373', '\374', '\375', '\376', '\377',
};
int strcasecmp(s1, s2)
char *s1, *s2;
{
register u_char *cm = charmap,
*us1 = (u_char *)s1,
*us2 = (u_char *)s2;
while (cm[*us1] == cm[*us2++])
if (*us1++ == '\0')
return(0);
return(cm[*us1] - cm[*--us2]);
}
int strncasecmp(s1, s2, n)
char *s1, *s2;
register int n;
{
register u_char *cm = charmap,
*us1 = (u_char *)s1,
*us2 = (u_char *)s2;
while (--n >= 0 && cm[*us1] == cm[*us2++])
if (*us1++ == '\0')
return(0);
return(n < 0 ? 0 : cm[*us1] - cm[*--us2]);
}
/*
* MD header for contrib/gdtoa
*
* $FreeBSD$
*/
/*
* NOTE: The definitions in this file must be correct or strtod(3) and
* floating point formats in printf(3) will break! The file can be
* generated by running contrib/gdtoa/arithchk.c on the target
* architecture. See contrib/gdtoa/gdtoaimp.h for details.
*/
#define IEEE_8087
#define Arith_Kind_ASL 1
#define Long int
#define Intcast (int)(long)
#define Double_Align
#define X64_bit_pointers
/*
* MD header for contrib/gdtoa
*
* This file can be generated by compiling and running contrib/gdtoa/qnan.c
* on the target architecture after arith.h has been generated.
*
* $FreeBSD$
*/
#define f_QNAN 0x7fc00000
#define d_QNAN0 0x0
#define d_QNAN1 0x7ff80000
#define ld_QNAN0 0x0
#define ld_QNAN1 0x0
#define ld_QNAN2 0x0
#define ld_QNAN3 0x7fff8000
#define ldus_QNAN0 0x0
#define ldus_QNAN1 0x0
#define ldus_QNAN2 0x0
#define ldus_QNAN3 0x0
#define ldus_QNAN4 0x0
/*
* MD header for contrib/gdtoa
*
* $FreeBSD$
*/
/*
* NOTE: The definitions in this file must be correct or strtod(3) and
* floating point formats in printf(3) will break! The file can be
* generated by running contrib/gdtoa/arithchk.c on the target
* architecture. See contrib/gdtoa/gdtoaimp.h for details.
*/
#define IEEE_8087
#define Arith_Kind_ASL 1
#define Sudden_Underflow
/*
* MD header for contrib/gdtoa
*
* This file can be generated by compiling and running contrib/gdtoa/qnan.c
* on the target architecture after arith.h has been generated.
*
* XXX I don't have ARM hardware, so I just guessed. --das
*
* $FreeBSD$
*/
#define f_QNAN 0x7fc00000
#define d_QNAN0 0x0
#define d_QNAN1 0x7ff80000
#define ld_QNAN0 0x0
#define ld_QNAN1 0xc0000000
#define ld_QNAN2 0x7fff
#define ld_QNAN3 0x0
#define ldus_QNAN0 0x0
#define ldus_QNAN1 0x0
#define ldus_QNAN2 0x0
#define ldus_QNAN3 0xc000
#define ldus_QNAN4 0x7fff
/*
* Machine-independent glue to integrate David Gay's gdtoa
* package into libc.
*
* $FreeBSD$
*/
#include <pthread.h>
pthread_mutex_t __gdtoa_locks[] = {
PTHREAD_MUTEX_INITIALIZER,
PTHREAD_MUTEX_INITIALIZER
};
/*-
* SPDX-License-Identifier: BSD-3-Clause
*
* Copyright (c) 1990, 1993
* The Regents of the University of California. All rights reserved.
*
* Copyright (c) 2011 The FreeBSD Foundation
* All rights reserved.
* Portions of this software were developed by David Chisnall
* under sponsorship from the FreeBSD Foundation.
*
* This code is derived from software contributed to Berkeley by
* Chris Torek.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include <ctype.h>
#include <stdlib.h>
#include <stdio.h>
#include "stdio_impl.h"
int parsefloat(FILE *f, char *buf, char *end)
{
char *commit, *p;
int infnanpos = 0, decptpos = 0;
enum {
S_START, S_GOTSIGN, S_INF, S_NAN, S_DONE, S_MAYBEHEX,
S_DIGITS, S_DECPT, S_FRAC, S_EXP, S_EXPDIGITS
} state = S_START;
unsigned char c;
int gotmantdig = 0, ishex = 0;
const char *decpt = "";
/*
* We set commit = p whenever the string we have read so far
* constitutes a valid representation of a floating point
* number by itself. At some point, the parse will complete
* or fail, and we will ungetc() back to the last commit point.
* To ensure that the file offset gets updated properly, it is
* always necessary to read at least one character that doesn't
* match; thus, we can't short-circuit "infinity" or "nan(...)".
*/
commit = buf - 1;
for (p = buf; p < end; ) {
c = *f->rpos;
reswitch:
switch (state) {
case S_START:
state = S_GOTSIGN;
if (c == '-' || c == '+')
break;
else
goto reswitch;
case S_GOTSIGN:
switch (c) {
case '0':
state = S_MAYBEHEX;
commit = p;
break;
case 'I':
case 'i':
state = S_INF;
break;
case 'N':
case 'n':
state = S_NAN;
break;
default:
state = S_DIGITS;
goto reswitch;
}
break;
case S_INF:
if (infnanpos > 6 ||
(c != "nfinity"[infnanpos] &&
c != "NFINITY"[infnanpos]))
goto parsedone;
if (infnanpos == 1 || infnanpos == 6)
commit = p; /* inf or infinity */
infnanpos++;
break;
case S_NAN:
switch (infnanpos) {
case 0:
if (c != 'A' && c != 'a')
goto parsedone;
break;
case 1:
if (c != 'N' && c != 'n')
goto parsedone;
else
commit = p;
break;
case 2:
if (c != '(')
goto parsedone;
break;
default:
if (c == ')') {
commit = p;
infnanpos = -2;
} else if (!isalnum(c) && c != '_')
goto parsedone;
break;
}
infnanpos++;
break;
case S_DONE:
goto parsedone;
case S_MAYBEHEX:
state = S_DIGITS;
if (c == 'X' || c == 'x') {
ishex = 1;
break;
} else { /* we saw a '0', but no 'x' */
gotmantdig = 1;
goto reswitch;
}
case S_DIGITS:
if ((ishex && isxdigit(c)) || isdigit(c)) {
gotmantdig = 1;
} else {
state = S_FRAC;
if (c != '.')
goto reswitch;
}
if (gotmantdig)
commit = p;
break;
case S_DECPT:
if (c == decpt[decptpos]) {
if (decpt[++decptpos] == '\0') {
/* We read the complete decpt seq. */
state = S_FRAC;
if (gotmantdig)
commit = p;
}
break;
} else if (!decptpos) {
/* We didn't read any decpt characters. */
state = S_FRAC;
goto reswitch;
} else {
/*
* We read part of a multibyte decimal point,
* but the rest is invalid, so bail.
*/
goto parsedone;
}
case S_FRAC:
if (((c == 'E' || c == 'e') && !ishex) ||
((c == 'P' || c == 'p') && ishex)) {
if (!gotmantdig)
goto parsedone;
else
state = S_EXP;
} else if ((ishex && isxdigit(c)) || isdigit(c)) {
commit = p;
gotmantdig = 1;
} else
goto parsedone;
break;
case S_EXP:
state = S_EXPDIGITS;
if (c == '-' || c == '+')
break;
else
goto reswitch;
case S_EXPDIGITS:
if (isdigit(c))
commit = p;
else
goto parsedone;
break;
default:
abort();
}
*p++ = c;
if (f->rpos != f->shend)
f->rpos++;
else
break;
}
parsedone:
while (commit < --p)
--f->rpos;
*++commit = '\0';
return (commit - buf);
}
/*-
* SPDX-License-Identifier: BSD-3-Clause
*
* Copyright (c) 1992, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#if defined(LIBC_SCCS) && !defined(lint)
static char sccsid[] = "@(#)qsort.c 8.1 (Berkeley) 6/4/93";
#endif /* LIBC_SCCS and not lint */
// #include <sys/cdefs.h>
#if defined(__GNUC__)
#define __IDSTRING(name,string) __asm__(".ident\t\"" string "\"")
#else
/*
* The following definition might not work well if used in header files,
* but it should be better than nothing. If you want a "do nothing"
* version, then it should generate some harmless declaration, such as:
* #define __IDSTRING(name,string) struct __hack
*/
#define __IDSTRING(name,string) static const char name[] __unused = string
#endif
/*
* Embed the rcs id of a source file in the resulting library. Note that in
* more recent ELF binutils, we use .ident allowing the ID to be stripped.
* Usage:
* __FBSDID("$FreeBSD$");
*/
#ifndef __FBSDID
#if !defined(STRIP_FBSDID)
#define __FBSDID(s) __IDSTRING(__CONCAT(__rcsid_,__LINE__),s)
#else
#define __FBSDID(s) struct __hack
#endif
#endif
#if defined(__GNUC__)
#define __GNUC_PREREQ__(ma, mi) \
(__GNUC__ > (ma) || __GNUC__ == (ma) && __GNUC_MINOR__ >= (mi))
#else
#define __GNUC_PREREQ__(ma, mi) 0
#endif
#if !__GNUC_PREREQ__(2, 5)
#define __unused
#endif
#if __GNUC__ == 2 && __GNUC_MINOR__ >= 5 && __GNUC_MINOR__ < 7
#define __unused
/* XXX Find out what to do for __packed, __aligned and __section */
#endif
#if __GNUC_PREREQ__(2, 7)
#define __unused __attribute__((__unused__))
#endif
#if __GNUC_PREREQ__(2, 96)
#define __predict_false(exp) __builtin_expect((exp), 0)
#else
#define __predict_false(exp) (exp)
#endif
__FBSDID("$FreeBSD$");
#include <errno.h>
#include <stdint.h>
#include <stdlib.h>
#include <string.h>
// #include "libc_private.h"
#if defined(I_AM_QSORT_R)
typedef int cmp_t(void *, const void *, const void *);
#elif defined(I_AM_QSORT_S)
typedef int cmp_t(const void *, const void *, void *);
#else
typedef int cmp_t(const void *, const void *);
#endif
static inline char *med3(char *, char *, char *, cmp_t *, void *);
#define MIN(a, b) ((a) < (b) ? a : b)
/*
* Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
*/
static inline void
swapfunc(char *a, char *b, size_t es)
{
char t;
do {
t = *a;
*a++ = *b;
*b++ = t;
} while (--es > 0);
}
#define vecswap(a, b, n) \
if ((n) > 0) swapfunc(a, b, n)
#if defined(I_AM_QSORT_R)
#define CMP(t, x, y) (cmp((t), (x), (y)))
#elif defined(I_AM_QSORT_S)
#define CMP(t, x, y) (cmp((x), (y), (t)))
#else
#define CMP(t, x, y) (cmp((x), (y)))
#endif
static inline char *
med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk
#if !defined(I_AM_QSORT_R) && !defined(I_AM_QSORT_S)
__unused
#endif
)
{
return CMP(thunk, a, b) < 0 ?
(CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
:(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
}
/*
* The actual qsort() implementation is static to avoid preemptible calls when
* recursing. Also give them different names for improved debugging.
*/
#if defined(I_AM_QSORT_R)
#define local_qsort local_qsort_r
#elif defined(I_AM_QSORT_S)
#define local_qsort local_qsort_s
#endif
static void
local_qsort(void *a, size_t n, size_t es, cmp_t *cmp, void *thunk)
{
char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
size_t d1, d2;
int cmp_result;
int swap_cnt;
if (__predict_false(n == 0))
return;
loop:
swap_cnt = 0;
if (n < 7) {
for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
for (pl = pm;
pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
pl -= es)
swapfunc(pl, pl - es, es);
return;
}
pm = (char *)a + (n / 2) * es;
if (n > 7) {
pl = a;
pn = (char *)a + (n - 1) * es;
if (n > 40) {
size_t d = (n / 8) * es;
pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
pm = med3(pm - d, pm, pm + d, cmp, thunk);
pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
}
pm = med3(pl, pm, pn, cmp, thunk);
}
swapfunc(a, pm, es);
pa = pb = (char *)a + es;
pc = pd = (char *)a + (n - 1) * es;
for (;;) {
while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) {
if (cmp_result == 0) {
swap_cnt = 1;
swapfunc(pa, pb, es);
pa += es;
}
pb += es;
}
while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) {
if (cmp_result == 0) {
swap_cnt = 1;
swapfunc(pc, pd, es);
pd -= es;
}
pc -= es;
}
if (pb > pc)
break;
swapfunc(pb, pc, es);
swap_cnt = 1;
pb += es;
pc -= es;
}
if (swap_cnt == 0) { /* Switch to insertion sort */
for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
for (pl = pm;
pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
pl -= es)
swapfunc(pl, pl - es, es);
return;
}
pn = (char *)a + n * es;
d1 = MIN(pa - (char *)a, pb - pa);
vecswap(a, pb - d1, d1);
d1 = MIN(pd - pc, pn - pd - es);
vecswap(pb, pn - d1, d1);
d1 = pb - pa;
d2 = pd - pc;
if (d1 <= d2) {
/* Recurse on left partition, then iterate on right partition */
if (d1 > es) {
local_qsort(a, d1 / es, es, cmp, thunk);
}
if (d2 > es) {
/* Iterate rather than recurse to save stack space */
/* qsort(pn - d2, d2 / es, es, cmp); */
a = pn - d2;
n = d2 / es;
goto loop;
}
} else {
/* Recurse on right partition, then iterate on left partition */
if (d2 > es) {
local_qsort(pn - d2, d2 / es, es, cmp, thunk);
}
if (d1 > es) {
/* Iterate rather than recurse to save stack space */
/* qsort(a, d1 / es, es, cmp); */
n = d1 / es;
goto loop;
}
}
}
#if defined(I_AM_QSORT_R)
void
qsort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp)
{
local_qsort_r(a, n, es, cmp, thunk);
}
#elif defined(I_AM_QSORT_S)
errno_t
qsort_s(void *a, rsize_t n, rsize_t es, cmp_t *cmp, void *thunk)
{
if (n > RSIZE_MAX) {
__throw_constraint_handler_s("qsort_s : n > RSIZE_MAX", EINVAL);
return (EINVAL);
} else if (es > RSIZE_MAX) {
__throw_constraint_handler_s("qsort_s : es > RSIZE_MAX",
EINVAL);
return (EINVAL);
} else if (n != 0) {
if (a == NULL) {
__throw_constraint_handler_s("qsort_s : a == NULL",
EINVAL);
return (EINVAL);
} else if (cmp == NULL) {
__throw_constraint_handler_s("qsort_s : cmp == NULL",
EINVAL);
return (EINVAL);
}
}
local_qsort_s(a, n, es, cmp, thunk);
return (0);
}
#else
void
qsort(void *a, size_t n, size_t es, cmp_t *cmp)
{
local_qsort(a, n, es, cmp, NULL);
}
#endif
\ No newline at end of file
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