[occt.git] / src / Standard / Standard_Strtod.cxx

/****************************************************************
 *
 * The author of this software is David M. Gay.
 *
 * Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
 *
 * Permission to use, copy, modify, and distribute this software for any
 * purpose without fee is hereby granted, provided that this entire notice
 * is included in all copies of any software which is or includes a copy
 * or modification of this software and in all copies of the supporting
 * documentation for such software.
 *
 * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
 * WARRANTY.  IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
 * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
 * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
 *
 ***************************************************************/

/*
 This code has been downloaded from  http://www.netlib.org/fp/ on 2017-12-16 
 and adapted for use within Open CASCADE Technology as follows:

 1. Macro IEEE_8087 is defined unconditionally
 2. Forward declarations of strtod() and atof(), and 'extern C' statements are commented out
 3. strtod() is renamed to Strtod() (OCCT signature)
 4. dtoa(), freedtoa() and supporting functions are disabled (see DISABLE_DTOA)
 5. Compiler warnings are suppressed

*/

#include <Standard_CString.hxx>

#define IEEE_8087 1
#define DISABLE_DTOA

#ifdef _MSC_VER
#pragma warning(disable: 4706 4244 4127 4334)
#endif

/* 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.
 * (Note that IEEE arithmetic is disabled by gcc's -ffast-math flag.)
 *
 * 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. 92-101].
 *
 * 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 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.  This will cause dtoa modes 4 and 5 to be
 *	treated the same as modes 2 and 3 for some inputs.
 * #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
 *	and strtod and dtoa should round accordingly.  Unless Trust_FLT_ROUNDS
 *	is also #defined, fegetround() will be queried for the rounding mode.
 *	Note that both FLT_ROUNDS and fegetround() are specified by the C99
 *	standard (and are specified to be consistent, with fesetround()
 *	affecting the value of FLT_ROUNDS), but that some (Linux) systems
 *	do not work correctly in this regard, so using fegetround() is more
 *	portable than using FLT_ROUNDS directly.
 * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
 *	and Honor_FLT_ROUNDS is not #defined.
 * #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 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 dtoa call after a dtoa 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.  The longest string dtoa can return is about 751 bytes
 *	long.  For conversions by strtod of strings of 800 digits and
 *	all dtoa conversions 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).  On some systems
 *	(e.g., some HP systems), it may be necessary to #define NAN_WORD0
 *	appropriately -- to the most significant word of a quiet NaN.
 *	(On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 *	When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
 *	strtod also accepts (case insensitively) strings of the form
 *	NaN(x), where x is a string of hexadecimal digits and spaces;
 *	if there is only one string of hexadecimal digits, it is taken
 *	for the 52 fraction bits of the resulting NaN; if there are two
 *	or more strings of hex digits, the first is for the high 20 bits,
 *	the second and subsequent for the low 32 bits, with intervening
 *	white space ignored; but if this results in none of the 52
 *	fraction bits being on (an IEEE Infinity symbol), then NAN_WORD0
 *	and NAN_WORD1 are used instead.
 * #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.

 *	When MULTIPLE_THREADS is #defined, this source file provides
 *		void set_max_dtoa_threads(unsigned int n);
 *	and expects
 *		unsigned int dtoa_get_threadno(void);
 *	to be available (possibly provided by
 *		#define dtoa_get_threadno omp_get_thread_num
 *	if OpenMP is in use or by
 *		#define dtoa_get_threadno pthread_self
 *	if Pthreads is in use), to return the current thread number.
 *	If set_max_dtoa_threads(n) was called and the current thread
 *	number is k with k < n, then calls on ACQUIRE_DTOA_LOCK(...) and
 *	FREE_DTOA_LOCK(...) are avoided; instead each thread with thread
 *	number < n has a separate copy of relevant data structures.
 *	After set_max_dtoa_threads(n), a call set_max_dtoa_threads(m)
 *	with m <= n has has no effect, but a call with m > n is honored.
 *	Such a call invokes REALLOC (assumed to be "realloc" if REALLOC
 *	is not #defined) to extend the size of the relevant array.

 * #define NO_IEEE_Scale to disable new (Feb. 1997) logic in strtod that
 *	avoids underflows on inputs whose result does not underflow.
 *	If you #define NO_IEEE_Scale on a machine that uses IEEE-format
 *	floating-point numbers and flushes underflows to zero rather
 *	than implementing gradual underflow, then you must also #define
 *	Sudden_Underflow.
 * #define USE_LOCALE to use the current locale's decimal_point value.
 * #define SET_INEXACT if IEEE arithmetic is being used and extra
 *	computation should be done to set the inexact flag when the
 *	result is inexact and avoid setting inexact when the result
 *	is exact.  In this case, dtoa.c must be compiled in
 *	an environment, perhaps provided by #include "dtoa.c" in a
 *	suitable wrapper, that defines two functions,
 *		int get_inexact(void);
 *		void clear_inexact(void);
 *	such that get_inexact() returns a nonzero value if the
 *	inexact bit is already set, and clear_inexact() sets the
 *	inexact bit to 0.  When SET_INEXACT is #defined, strtod
 *	also does extra computations to set the underflow and overflow
 *	flags when appropriate (i.e., when the result is tiny and
 *	inexact or when it is a numeric value rounded to +-infinity).
 * #define NO_ERRNO if strtod should not assign errno = ERANGE when
 *	the result overflows to +-Infinity or underflows to 0.
 *	When errno should be assigned, under seemingly rare conditions
 *	it may be necessary to define Set_errno(x) suitably, e.g., in
 *	a local errno.h, such as
 *		#include <errno.h>
 *		#define Set_errno(x) _set_errno(x)
 * #define NO_HEX_FP to omit recognition of hexadecimal floating-point
 *	values by strtod.
 * #define NO_STRTOD_BIGCOMP (on IEEE-arithmetic systems only for now)
 *	to disable logic for "fast" testing of very long input strings
 *	to strtod.  This testing proceeds by initially truncating the
 *	input string, then if necessary comparing the whole string with
 *	a decimal expansion to decide close cases. This logic is only
 *	used for input more than STRTOD_DIGLIM digits long (default 40).
 */

#ifndef Long
#define Long int
#endif
#ifndef ULong
typedef unsigned Long ULong;
#endif

#ifdef DEBUG
#include <assert.h>
#include "stdio.h"
#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
#define Debug(x) x
int dtoa_stats[7]; /* strtod_{64,96,bigcomp},dtoa_{exact,64,96,bigcomp} */
#else
#define assert(x) /*nothing*/
#define Debug(x) /*nothing*/
#endif

#include "stdlib.h"
#include "string.h"

#ifdef USE_LOCALE
#include "locale.h"
#endif

#ifdef Honor_FLT_ROUNDS
#ifndef Trust_FLT_ROUNDS
#include <fenv.h>
#endif
#endif

#ifdef __cplusplus
extern "C" {
#endif
#ifdef MALLOC
extern void *MALLOC(size_t);
#else
#define MALLOC malloc
#endif

#ifdef REALLOC
extern void *REALLOC(void*,size_t);
#else
#define REALLOC realloc
#endif

#ifndef FREE
#define FREE free
#endif

#ifdef __cplusplus
	}
#endif

#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

#undef IEEE_Arith
#undef Avoid_Underflow
#ifdef IEEE_MC68k
#define IEEE_Arith
#endif
#ifdef IEEE_8087
#define IEEE_Arith
#endif

#ifdef IEEE_Arith
#ifndef NO_INFNAN_CHECK
#undef INFNAN_CHECK
#define INFNAN_CHECK
#endif
#else
#undef INFNAN_CHECK
#define NO_STRTOD_BIGCOMP
#endif

#include "errno.h"

#ifdef NO_ERRNO /*{*/
#undef Set_errno
#define Set_errno(x)
#else
#ifndef Set_errno
#define Set_errno(x) errno = x
#endif
#endif /*}*/

#ifdef Bad_float_h

#ifdef IEEE_Arith
#define DBL_DIG 15
#define DBL_MAX_10_EXP 308
#define DBL_MAX_EXP 1024
#define FLT_RADIX 2
#endif /*IEEE_Arith*/

#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
#endif

#ifndef LONG_MAX
#define LONG_MAX 2147483647
#endif

#else /* ifndef Bad_float_h */
#include "float.h"
#endif /* Bad_float_h */

#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

#undef USE_BF96

#ifdef NO_LONG_LONG /*{{*/
#undef ULLong
#ifdef Just_16
#undef Pack_32
/* 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
#ifndef NO_BF96 /*{*/
#define USE_BF96

#ifdef SET_INEXACT
#define dtoa_divmax 27
#else
int dtoa_divmax = 2;	/* Permit experimenting: on some systems, 64-bit integer */
			/* division is slow enough that we may sometimes want to */
			/* avoid using it.   We assume (but do not check) that   */
			/* dtoa_divmax <= 27.*/
#endif

typedef struct BF96 {		/* Normalized 96-bit software floating point numbers */
	unsigned int b0,b1,b2;	/* b0 = most significant, binary point just to its left */
	int e;			/* number represented = b * 2^e, with .5 <= b < 1 */
	} BF96;

 static BF96 pten[667] = {
	{ 0xeef453d6, 0x923bd65a, 0x113faa29, -1136 },
	{ 0x9558b466, 0x1b6565f8, 0x4ac7ca59, -1132 },
	{ 0xbaaee17f, 0xa23ebf76, 0x5d79bcf0, -1129 },
	{ 0xe95a99df, 0x8ace6f53, 0xf4d82c2c, -1126 },
	{ 0x91d8a02b, 0xb6c10594, 0x79071b9b, -1122 },
	{ 0xb64ec836, 0xa47146f9, 0x9748e282, -1119 },
	{ 0xe3e27a44, 0x4d8d98b7, 0xfd1b1b23, -1116 },
	{ 0x8e6d8c6a, 0xb0787f72, 0xfe30f0f5, -1112 },
	{ 0xb208ef85, 0x5c969f4f, 0xbdbd2d33, -1109 },
	{ 0xde8b2b66, 0xb3bc4723, 0xad2c7880, -1106 },
	{ 0x8b16fb20, 0x3055ac76, 0x4c3bcb50, -1102 },
	{ 0xaddcb9e8, 0x3c6b1793, 0xdf4abe24, -1099 },
	{ 0xd953e862, 0x4b85dd78, 0xd71d6dad, -1096 },
	{ 0x87d4713d, 0x6f33aa6b, 0x8672648c, -1092 },
	{ 0xa9c98d8c, 0xcb009506, 0x680efdaf, -1089 },
	{ 0xd43bf0ef, 0xfdc0ba48, 0x0212bd1b, -1086 },
	{ 0x84a57695, 0xfe98746d, 0x014bb630, -1082 },
	{ 0xa5ced43b, 0x7e3e9188, 0x419ea3bd, -1079 },
	{ 0xcf42894a, 0x5dce35ea, 0x52064cac, -1076 },
	{ 0x818995ce, 0x7aa0e1b2, 0x7343efeb, -1072 },
	{ 0xa1ebfb42, 0x19491a1f, 0x1014ebe6, -1069 },
	{ 0xca66fa12, 0x9f9b60a6, 0xd41a26e0, -1066 },
	{ 0xfd00b897, 0x478238d0, 0x8920b098, -1063 },
	{ 0x9e20735e, 0x8cb16382, 0x55b46e5f, -1059 },
	{ 0xc5a89036, 0x2fddbc62, 0xeb2189f7, -1056 },
	{ 0xf712b443, 0xbbd52b7b, 0xa5e9ec75, -1053 },
	{ 0x9a6bb0aa, 0x55653b2d, 0x47b233c9, -1049 },
	{ 0xc1069cd4, 0xeabe89f8, 0x999ec0bb, -1046 },
	{ 0xf148440a, 0x256e2c76, 0xc00670ea, -1043 },
	{ 0x96cd2a86, 0x5764dbca, 0x38040692, -1039 },
	{ 0xbc807527, 0xed3e12bc, 0xc6050837, -1036 },
	{ 0xeba09271, 0xe88d976b, 0xf7864a44, -1033 },
	{ 0x93445b87, 0x31587ea3, 0x7ab3ee6a, -1029 },
	{ 0xb8157268, 0xfdae9e4c, 0x5960ea05, -1026 },
	{ 0xe61acf03, 0x3d1a45df, 0x6fb92487, -1023 },
	{ 0x8fd0c162, 0x06306bab, 0xa5d3b6d4, -1019 },
	{ 0xb3c4f1ba, 0x87bc8696, 0x8f48a489, -1016 },
	{ 0xe0b62e29, 0x29aba83c, 0x331acdab, -1013 },
	{ 0x8c71dcd9, 0xba0b4925, 0x9ff0c08b, -1009 },
	{ 0xaf8e5410, 0x288e1b6f, 0x07ecf0ae, -1006 },
	{ 0xdb71e914, 0x32b1a24a, 0xc9e82cd9, -1003 },
	{ 0x892731ac, 0x9faf056e, 0xbe311c08,  -999 },
	{ 0xab70fe17, 0xc79ac6ca, 0x6dbd630a,  -996 },
	{ 0xd64d3d9d, 0xb981787d, 0x092cbbcc,  -993 },
	{ 0x85f04682, 0x93f0eb4e, 0x25bbf560,  -989 },
	{ 0xa76c5823, 0x38ed2621, 0xaf2af2b8,  -986 },
	{ 0xd1476e2c, 0x07286faa, 0x1af5af66,  -983 },
	{ 0x82cca4db, 0x847945ca, 0x50d98d9f,  -979 },
	{ 0xa37fce12, 0x6597973c, 0xe50ff107,  -976 },
	{ 0xcc5fc196, 0xfefd7d0c, 0x1e53ed49,  -973 },
	{ 0xff77b1fc, 0xbebcdc4f, 0x25e8e89c,  -970 },
	{ 0x9faacf3d, 0xf73609b1, 0x77b19161,  -966 },
	{ 0xc795830d, 0x75038c1d, 0xd59df5b9,  -963 },
	{ 0xf97ae3d0, 0xd2446f25, 0x4b057328,  -960 },
	{ 0x9becce62, 0x836ac577, 0x4ee367f9,  -956 },
	{ 0xc2e801fb, 0x244576d5, 0x229c41f7,  -953 },
	{ 0xf3a20279, 0xed56d48a, 0x6b435275,  -950 },
	{ 0x9845418c, 0x345644d6, 0x830a1389,  -946 },
	{ 0xbe5691ef, 0x416bd60c, 0x23cc986b,  -943 },
	{ 0xedec366b, 0x11c6cb8f, 0x2cbfbe86,  -940 },
	{ 0x94b3a202, 0xeb1c3f39, 0x7bf7d714,  -936 },
	{ 0xb9e08a83, 0xa5e34f07, 0xdaf5ccd9,  -933 },
	{ 0xe858ad24, 0x8f5c22c9, 0xd1b3400f,  -930 },
	{ 0x91376c36, 0xd99995be, 0x23100809,  -926 },
	{ 0xb5854744, 0x8ffffb2d, 0xabd40a0c,  -923 },
	{ 0xe2e69915, 0xb3fff9f9, 0x16c90c8f,  -920 },
	{ 0x8dd01fad, 0x907ffc3b, 0xae3da7d9,  -916 },
	{ 0xb1442798, 0xf49ffb4a, 0x99cd11cf,  -913 },
	{ 0xdd95317f, 0x31c7fa1d, 0x40405643,  -910 },
	{ 0x8a7d3eef, 0x7f1cfc52, 0x482835ea,  -906 },
	{ 0xad1c8eab, 0x5ee43b66, 0xda324365,  -903 },
	{ 0xd863b256, 0x369d4a40, 0x90bed43e,  -900 },
	{ 0x873e4f75, 0xe2224e68, 0x5a7744a6,  -896 },
	{ 0xa90de353, 0x5aaae202, 0x711515d0,  -893 },
	{ 0xd3515c28, 0x31559a83, 0x0d5a5b44,  -890 },
	{ 0x8412d999, 0x1ed58091, 0xe858790a,  -886 },
	{ 0xa5178fff, 0x668ae0b6, 0x626e974d,  -883 },
	{ 0xce5d73ff, 0x402d98e3, 0xfb0a3d21,  -880 },
	{ 0x80fa687f, 0x881c7f8e, 0x7ce66634,  -876 },
	{ 0xa139029f, 0x6a239f72, 0x1c1fffc1,  -873 },
	{ 0xc9874347, 0x44ac874e, 0xa327ffb2,  -870 },
	{ 0xfbe91419, 0x15d7a922, 0x4bf1ff9f,  -867 },
	{ 0x9d71ac8f, 0xada6c9b5, 0x6f773fc3,  -863 },
	{ 0xc4ce17b3, 0x99107c22, 0xcb550fb4,  -860 },
	{ 0xf6019da0, 0x7f549b2b, 0x7e2a53a1,  -857 },
	{ 0x99c10284, 0x4f94e0fb, 0x2eda7444,  -853 },
	{ 0xc0314325, 0x637a1939, 0xfa911155,  -850 },
	{ 0xf03d93ee, 0xbc589f88, 0x793555ab,  -847 },
	{ 0x96267c75, 0x35b763b5, 0x4bc1558b,  -843 },
	{ 0xbbb01b92, 0x83253ca2, 0x9eb1aaed,  -840 },
	{ 0xea9c2277, 0x23ee8bcb, 0x465e15a9,  -837 },
	{ 0x92a1958a, 0x7675175f, 0x0bfacd89,  -833 },
	{ 0xb749faed, 0x14125d36, 0xcef980ec,  -830 },
	{ 0xe51c79a8, 0x5916f484, 0x82b7e127,  -827 },
	{ 0x8f31cc09, 0x37ae58d2, 0xd1b2ecb8,  -823 },
	{ 0xb2fe3f0b, 0x8599ef07, 0x861fa7e6,  -820 },
	{ 0xdfbdcece, 0x67006ac9, 0x67a791e0,  -817 },
	{ 0x8bd6a141, 0x006042bd, 0xe0c8bb2c,  -813 },
	{ 0xaecc4991, 0x4078536d, 0x58fae9f7,  -810 },
	{ 0xda7f5bf5, 0x90966848, 0xaf39a475,  -807 },
	{ 0x888f9979, 0x7a5e012d, 0x6d8406c9,  -803 },
	{ 0xaab37fd7, 0xd8f58178, 0xc8e5087b,  -800 },
	{ 0xd5605fcd, 0xcf32e1d6, 0xfb1e4a9a,  -797 },
	{ 0x855c3be0, 0xa17fcd26, 0x5cf2eea0,  -793 },
	{ 0xa6b34ad8, 0xc9dfc06f, 0xf42faa48,  -790 },
	{ 0xd0601d8e, 0xfc57b08b, 0xf13b94da,  -787 },
	{ 0x823c1279, 0x5db6ce57, 0x76c53d08,  -783 },
	{ 0xa2cb1717, 0xb52481ed, 0x54768c4b,  -780 },
	{ 0xcb7ddcdd, 0xa26da268, 0xa9942f5d,  -777 },
	{ 0xfe5d5415, 0x0b090b02, 0xd3f93b35,  -774 },
	{ 0x9efa548d, 0x26e5a6e1, 0xc47bc501,  -770 },
	{ 0xc6b8e9b0, 0x709f109a, 0x359ab641,  -767 },
	{ 0xf867241c, 0x8cc6d4c0, 0xc30163d2,  -764 },
	{ 0x9b407691, 0xd7fc44f8, 0x79e0de63,  -760 },
	{ 0xc2109436, 0x4dfb5636, 0x985915fc,  -757 },
	{ 0xf294b943, 0xe17a2bc4, 0x3e6f5b7b,  -754 },
	{ 0x979cf3ca, 0x6cec5b5a, 0xa705992c,  -750 },
	{ 0xbd8430bd, 0x08277231, 0x50c6ff78,  -747 },
	{ 0xece53cec, 0x4a314ebd, 0xa4f8bf56,  -744 },
	{ 0x940f4613, 0xae5ed136, 0x871b7795,  -740 },
	{ 0xb9131798, 0x99f68584, 0x28e2557b,  -737 },
	{ 0xe757dd7e, 0xc07426e5, 0x331aeada,  -734 },
	{ 0x9096ea6f, 0x3848984f, 0x3ff0d2c8,  -730 },
	{ 0xb4bca50b, 0x065abe63, 0x0fed077a,  -727 },
	{ 0xe1ebce4d, 0xc7f16dfb, 0xd3e84959,  -724 },
	{ 0x8d3360f0, 0x9cf6e4bd, 0x64712dd7,  -720 },
	{ 0xb080392c, 0xc4349dec, 0xbd8d794d,  -717 },
	{ 0xdca04777, 0xf541c567, 0xecf0d7a0,  -714 },
	{ 0x89e42caa, 0xf9491b60, 0xf41686c4,  -710 },
	{ 0xac5d37d5, 0xb79b6239, 0x311c2875,  -707 },
	{ 0xd77485cb, 0x25823ac7, 0x7d633293,  -704 },
	{ 0x86a8d39e, 0xf77164bc, 0xae5dff9c,  -700 },
	{ 0xa8530886, 0xb54dbdeb, 0xd9f57f83,  -697 },
	{ 0xd267caa8, 0x62a12d66, 0xd072df63,  -694 },
	{ 0x8380dea9, 0x3da4bc60, 0x4247cb9e,  -690 },
	{ 0xa4611653, 0x8d0deb78, 0x52d9be85,  -687 },
	{ 0xcd795be8, 0x70516656, 0x67902e27,  -684 },
	{ 0x806bd971, 0x4632dff6, 0x00ba1cd8,  -680 },
	{ 0xa086cfcd, 0x97bf97f3, 0x80e8a40e,  -677 },
	{ 0xc8a883c0, 0xfdaf7df0, 0x6122cd12,  -674 },
	{ 0xfad2a4b1, 0x3d1b5d6c, 0x796b8057,  -671 },
	{ 0x9cc3a6ee, 0xc6311a63, 0xcbe33036,  -667 },
	{ 0xc3f490aa, 0x77bd60fc, 0xbedbfc44,  -664 },
	{ 0xf4f1b4d5, 0x15acb93b, 0xee92fb55,  -661 },
	{ 0x99171105, 0x2d8bf3c5, 0x751bdd15,  -657 },
	{ 0xbf5cd546, 0x78eef0b6, 0xd262d45a,  -654 },
	{ 0xef340a98, 0x172aace4, 0x86fb8971,  -651 },
	{ 0x9580869f, 0x0e7aac0e, 0xd45d35e6,  -647 },
	{ 0xbae0a846, 0xd2195712, 0x89748360,  -644 },
	{ 0xe998d258, 0x869facd7, 0x2bd1a438,  -641 },
	{ 0x91ff8377, 0x5423cc06, 0x7b6306a3,  -637 },
	{ 0xb67f6455, 0x292cbf08, 0x1a3bc84c,  -634 },
	{ 0xe41f3d6a, 0x7377eeca, 0x20caba5f,  -631 },
	{ 0x8e938662, 0x882af53e, 0x547eb47b,  -627 },
	{ 0xb23867fb, 0x2a35b28d, 0xe99e619a,  -624 },
	{ 0xdec681f9, 0xf4c31f31, 0x6405fa00,  -621 },
	{ 0x8b3c113c, 0x38f9f37e, 0xde83bc40,  -617 },
	{ 0xae0b158b, 0x4738705e, 0x9624ab50,  -614 },
	{ 0xd98ddaee, 0x19068c76, 0x3badd624,  -611 },
	{ 0x87f8a8d4, 0xcfa417c9, 0xe54ca5d7,  -607 },
	{ 0xa9f6d30a, 0x038d1dbc, 0x5e9fcf4c,  -604 },
	{ 0xd47487cc, 0x8470652b, 0x7647c320,  -601 },
	{ 0x84c8d4df, 0xd2c63f3b, 0x29ecd9f4,  -597 },
	{ 0xa5fb0a17, 0xc777cf09, 0xf4681071,  -594 },
	{ 0xcf79cc9d, 0xb955c2cc, 0x7182148d,  -591 },
	{ 0x81ac1fe2, 0x93d599bf, 0xc6f14cd8,  -587 },
	{ 0xa21727db, 0x38cb002f, 0xb8ada00e,  -584 },
	{ 0xca9cf1d2, 0x06fdc03b, 0xa6d90811,  -581 },
	{ 0xfd442e46, 0x88bd304a, 0x908f4a16,  -578 },
	{ 0x9e4a9cec, 0x15763e2e, 0x9a598e4e,  -574 },
	{ 0xc5dd4427, 0x1ad3cdba, 0x40eff1e1,  -571 },
	{ 0xf7549530, 0xe188c128, 0xd12bee59,  -568 },
	{ 0x9a94dd3e, 0x8cf578b9, 0x82bb74f8,  -564 },
	{ 0xc13a148e, 0x3032d6e7, 0xe36a5236,  -561 },
	{ 0xf18899b1, 0xbc3f8ca1, 0xdc44e6c3,  -558 },
	{ 0x96f5600f, 0x15a7b7e5, 0x29ab103a,  -554 },
	{ 0xbcb2b812, 0xdb11a5de, 0x7415d448,  -551 },
	{ 0xebdf6617, 0x91d60f56, 0x111b495b,  -548 },
	{ 0x936b9fce, 0xbb25c995, 0xcab10dd9,  -544 },
	{ 0xb84687c2, 0x69ef3bfb, 0x3d5d514f,  -541 },
	{ 0xe65829b3, 0x046b0afa, 0x0cb4a5a3,  -538 },
	{ 0x8ff71a0f, 0xe2c2e6dc, 0x47f0e785,  -534 },
	{ 0xb3f4e093, 0xdb73a093, 0x59ed2167,  -531 },
	{ 0xe0f218b8, 0xd25088b8, 0x306869c1,  -528 },
	{ 0x8c974f73, 0x83725573, 0x1e414218,  -524 },
	{ 0xafbd2350, 0x644eeacf, 0xe5d1929e,  -521 },
	{ 0xdbac6c24, 0x7d62a583, 0xdf45f746,  -518 },
	{ 0x894bc396, 0xce5da772, 0x6b8bba8c,  -514 },
	{ 0xab9eb47c, 0x81f5114f, 0x066ea92f,  -511 },
	{ 0xd686619b, 0xa27255a2, 0xc80a537b,  -508 },
	{ 0x8613fd01, 0x45877585, 0xbd06742c,  -504 },
	{ 0xa798fc41, 0x96e952e7, 0x2c481138,  -501 },
	{ 0xd17f3b51, 0xfca3a7a0, 0xf75a1586,  -498 },
	{ 0x82ef8513, 0x3de648c4, 0x9a984d73,  -494 },
	{ 0xa3ab6658, 0x0d5fdaf5, 0xc13e60d0,  -491 },
	{ 0xcc963fee, 0x10b7d1b3, 0x318df905,  -488 },
	{ 0xffbbcfe9, 0x94e5c61f, 0xfdf17746,  -485 },
	{ 0x9fd561f1, 0xfd0f9bd3, 0xfeb6ea8b,  -481 },
	{ 0xc7caba6e, 0x7c5382c8, 0xfe64a52e,  -478 },
	{ 0xf9bd690a, 0x1b68637b, 0x3dfdce7a,  -475 },
	{ 0x9c1661a6, 0x51213e2d, 0x06bea10c,  -471 },
	{ 0xc31bfa0f, 0xe5698db8, 0x486e494f,  -468 },
	{ 0xf3e2f893, 0xdec3f126, 0x5a89dba3,  -465 },
	{ 0x986ddb5c, 0x6b3a76b7, 0xf8962946,  -461 },
	{ 0xbe895233, 0x86091465, 0xf6bbb397,  -458 },
	{ 0xee2ba6c0, 0x678b597f, 0x746aa07d,  -455 },
	{ 0x94db4838, 0x40b717ef, 0xa8c2a44e,  -451 },
	{ 0xba121a46, 0x50e4ddeb, 0x92f34d62,  -448 },
	{ 0xe896a0d7, 0xe51e1566, 0x77b020ba,  -445 },
	{ 0x915e2486, 0xef32cd60, 0x0ace1474,  -441 },
	{ 0xb5b5ada8, 0xaaff80b8, 0x0d819992,  -438 },
	{ 0xe3231912, 0xd5bf60e6, 0x10e1fff6,  -435 },
	{ 0x8df5efab, 0xc5979c8f, 0xca8d3ffa,  -431 },
	{ 0xb1736b96, 0xb6fd83b3, 0xbd308ff8,  -428 },
	{ 0xddd0467c, 0x64bce4a0, 0xac7cb3f6,  -425 },
	{ 0x8aa22c0d, 0xbef60ee4, 0x6bcdf07a,  -421 },
	{ 0xad4ab711, 0x2eb3929d, 0x86c16c98,  -418 },
	{ 0xd89d64d5, 0x7a607744, 0xe871c7bf,  -415 },
	{ 0x87625f05, 0x6c7c4a8b, 0x11471cd7,  -411 },
	{ 0xa93af6c6, 0xc79b5d2d, 0xd598e40d,  -408 },
	{ 0xd389b478, 0x79823479, 0x4aff1d10,  -405 },
	{ 0x843610cb, 0x4bf160cb, 0xcedf722a,  -401 },
	{ 0xa54394fe, 0x1eedb8fe, 0xc2974eb4,  -398 },
	{ 0xce947a3d, 0xa6a9273e, 0x733d2262,  -395 },
	{ 0x811ccc66, 0x8829b887, 0x0806357d,  -391 },
	{ 0xa163ff80, 0x2a3426a8, 0xca07c2dc,  -388 },
	{ 0xc9bcff60, 0x34c13052, 0xfc89b393,  -385 },
	{ 0xfc2c3f38, 0x41f17c67, 0xbbac2078,  -382 },
	{ 0x9d9ba783, 0x2936edc0, 0xd54b944b,  -378 },
	{ 0xc5029163, 0xf384a931, 0x0a9e795e,  -375 },
	{ 0xf64335bc, 0xf065d37d, 0x4d4617b5,  -372 },
	{ 0x99ea0196, 0x163fa42e, 0x504bced1,  -368 },
	{ 0xc06481fb, 0x9bcf8d39, 0xe45ec286,  -365 },
	{ 0xf07da27a, 0x82c37088, 0x5d767327,  -362 },
	{ 0x964e858c, 0x91ba2655, 0x3a6a07f8,  -358 },
	{ 0xbbe226ef, 0xb628afea, 0x890489f7,  -355 },
	{ 0xeadab0ab, 0xa3b2dbe5, 0x2b45ac74,  -352 },
	{ 0x92c8ae6b, 0x464fc96f, 0x3b0b8bc9,  -348 },
	{ 0xb77ada06, 0x17e3bbcb, 0x09ce6ebb,  -345 },
	{ 0xe5599087, 0x9ddcaabd, 0xcc420a6a,  -342 },
	{ 0x8f57fa54, 0xc2a9eab6, 0x9fa94682,  -338 },
	{ 0xb32df8e9, 0xf3546564, 0x47939822,  -335 },
	{ 0xdff97724, 0x70297ebd, 0x59787e2b,  -332 },
	{ 0x8bfbea76, 0xc619ef36, 0x57eb4edb,  -328 },
	{ 0xaefae514, 0x77a06b03, 0xede62292,  -325 },
	{ 0xdab99e59, 0x958885c4, 0xe95fab36,  -322 },
	{ 0x88b402f7, 0xfd75539b, 0x11dbcb02,  -318 },
	{ 0xaae103b5, 0xfcd2a881, 0xd652bdc2,  -315 },
	{ 0xd59944a3, 0x7c0752a2, 0x4be76d33,  -312 },
	{ 0x857fcae6, 0x2d8493a5, 0x6f70a440,  -308 },
	{ 0xa6dfbd9f, 0xb8e5b88e, 0xcb4ccd50,  -305 },
	{ 0xd097ad07, 0xa71f26b2, 0x7e2000a4,  -302 },
	{ 0x825ecc24, 0xc873782f, 0x8ed40066,  -298 },
	{ 0xa2f67f2d, 0xfa90563b, 0x72890080,  -295 },
	{ 0xcbb41ef9, 0x79346bca, 0x4f2b40a0,  -292 },
	{ 0xfea126b7, 0xd78186bc, 0xe2f610c8,  -289 },
	{ 0x9f24b832, 0xe6b0f436, 0x0dd9ca7d,  -285 },
	{ 0xc6ede63f, 0xa05d3143, 0x91503d1c,  -282 },
	{ 0xf8a95fcf, 0x88747d94, 0x75a44c63,  -279 },
	{ 0x9b69dbe1, 0xb548ce7c, 0xc986afbe,  -275 },
	{ 0xc24452da, 0x229b021b, 0xfbe85bad,  -272 },
	{ 0xf2d56790, 0xab41c2a2, 0xfae27299,  -269 },
	{ 0x97c560ba, 0x6b0919a5, 0xdccd879f,  -265 },
	{ 0xbdb6b8e9, 0x05cb600f, 0x5400e987,  -262 },
	{ 0xed246723, 0x473e3813, 0x290123e9,  -259 },
	{ 0x9436c076, 0x0c86e30b, 0xf9a0b672,  -255 },
	{ 0xb9447093, 0x8fa89bce, 0xf808e40e,  -252 },
	{ 0xe7958cb8, 0x7392c2c2, 0xb60b1d12,  -249 },
	{ 0x90bd77f3, 0x483bb9b9, 0xb1c6f22b,  -245 },
	{ 0xb4ecd5f0, 0x1a4aa828, 0x1e38aeb6,  -242 },
	{ 0xe2280b6c, 0x20dd5232, 0x25c6da63,  -239 },
	{ 0x8d590723, 0x948a535f, 0x579c487e,  -235 },
	{ 0xb0af48ec, 0x79ace837, 0x2d835a9d,  -232 },
	{ 0xdcdb1b27, 0x98182244, 0xf8e43145,  -229 },
	{ 0x8a08f0f8, 0xbf0f156b, 0x1b8e9ecb,  -225 },
	{ 0xac8b2d36, 0xeed2dac5, 0xe272467e,  -222 },
	{ 0xd7adf884, 0xaa879177, 0x5b0ed81d,  -219 },
	{ 0x86ccbb52, 0xea94baea, 0x98e94712,  -215 },
	{ 0xa87fea27, 0xa539e9a5, 0x3f2398d7,  -212 },
	{ 0xd29fe4b1, 0x8e88640e, 0x8eec7f0d,  -209 },
	{ 0x83a3eeee, 0xf9153e89, 0x1953cf68,  -205 },
	{ 0xa48ceaaa, 0xb75a8e2b, 0x5fa8c342,  -202 },
	{ 0xcdb02555, 0x653131b6, 0x3792f412,  -199 },
	{ 0x808e1755, 0x5f3ebf11, 0xe2bbd88b,  -195 },
	{ 0xa0b19d2a, 0xb70e6ed6, 0x5b6aceae,  -192 },
	{ 0xc8de0475, 0x64d20a8b, 0xf245825a,  -189 },
	{ 0xfb158592, 0xbe068d2e, 0xeed6e2f0,  -186 },
	{ 0x9ced737b, 0xb6c4183d, 0x55464dd6,  -182 },
	{ 0xc428d05a, 0xa4751e4c, 0xaa97e14c,  -179 },
	{ 0xf5330471, 0x4d9265df, 0xd53dd99f,  -176 },
	{ 0x993fe2c6, 0xd07b7fab, 0xe546a803,  -172 },
	{ 0xbf8fdb78, 0x849a5f96, 0xde985204,  -169 },
	{ 0xef73d256, 0xa5c0f77c, 0x963e6685,  -166 },
	{ 0x95a86376, 0x27989aad, 0xdde70013,  -162 },
	{ 0xbb127c53, 0xb17ec159, 0x5560c018,  -159 },
	{ 0xe9d71b68, 0x9dde71af, 0xaab8f01e,  -156 },
	{ 0x92267121, 0x62ab070d, 0xcab39613,  -152 },
	{ 0xb6b00d69, 0xbb55c8d1, 0x3d607b97,  -149 },
	{ 0xe45c10c4, 0x2a2b3b05, 0x8cb89a7d,  -146 },
	{ 0x8eb98a7a, 0x9a5b04e3, 0x77f3608e,  -142 },
	{ 0xb267ed19, 0x40f1c61c, 0x55f038b2,  -139 },
	{ 0xdf01e85f, 0x912e37a3, 0x6b6c46de,  -136 },
	{ 0x8b61313b, 0xbabce2c6, 0x2323ac4b,  -132 },
	{ 0xae397d8a, 0xa96c1b77, 0xabec975e,  -129 },
	{ 0xd9c7dced, 0x53c72255, 0x96e7bd35,  -126 },
	{ 0x881cea14, 0x545c7575, 0x7e50d641,  -122 },
	{ 0xaa242499, 0x697392d2, 0xdde50bd1,  -119 },
	{ 0xd4ad2dbf, 0xc3d07787, 0x955e4ec6,  -116 },
	{ 0x84ec3c97, 0xda624ab4, 0xbd5af13b,  -112 },
	{ 0xa6274bbd, 0xd0fadd61, 0xecb1ad8a,  -109 },
	{ 0xcfb11ead, 0x453994ba, 0x67de18ed,  -106 },
	{ 0x81ceb32c, 0x4b43fcf4, 0x80eacf94,  -102 },
	{ 0xa2425ff7, 0x5e14fc31, 0xa1258379,   -99 },
	{ 0xcad2f7f5, 0x359a3b3e, 0x096ee458,   -96 },
	{ 0xfd87b5f2, 0x8300ca0d, 0x8bca9d6e,   -93 },
	{ 0x9e74d1b7, 0x91e07e48, 0x775ea264,   -89 },
	{ 0xc6120625, 0x76589dda, 0x95364afe,   -86 },
	{ 0xf79687ae, 0xd3eec551, 0x3a83ddbd,   -83 },
	{ 0x9abe14cd, 0x44753b52, 0xc4926a96,   -79 },
	{ 0xc16d9a00, 0x95928a27, 0x75b7053c,   -76 },
	{ 0xf1c90080, 0xbaf72cb1, 0x5324c68b,   -73 },
	{ 0x971da050, 0x74da7bee, 0xd3f6fc16,   -69 },
	{ 0xbce50864, 0x92111aea, 0x88f4bb1c,   -66 },
	{ 0xec1e4a7d, 0xb69561a5, 0x2b31e9e3,   -63 },
	{ 0x9392ee8e, 0x921d5d07, 0x3aff322e,   -59 },
	{ 0xb877aa32, 0x36a4b449, 0x09befeb9,   -56 },
	{ 0xe69594be, 0xc44de15b, 0x4c2ebe68,   -53 },
	{ 0x901d7cf7, 0x3ab0acd9, 0x0f9d3701,   -49 },
	{ 0xb424dc35, 0x095cd80f, 0x538484c1,   -46 },
	{ 0xe12e1342, 0x4bb40e13, 0x2865a5f2,   -43 },
	{ 0x8cbccc09, 0x6f5088cb, 0xf93f87b7,   -39 },
	{ 0xafebff0b, 0xcb24aafe, 0xf78f69a5,   -36 },
	{ 0xdbe6fece, 0xbdedd5be, 0xb573440e,   -33 },
	{ 0x89705f41, 0x36b4a597, 0x31680a88,   -29 },
	{ 0xabcc7711, 0x8461cefc, 0xfdc20d2b,   -26 },
	{ 0xd6bf94d5, 0xe57a42bc, 0x3d329076,   -23 },
	{ 0x8637bd05, 0xaf6c69b5, 0xa63f9a49,   -19 },
	{ 0xa7c5ac47, 0x1b478423, 0x0fcf80dc,   -16 },
	{ 0xd1b71758, 0xe219652b, 0xd3c36113,   -13 },
	{ 0x83126e97, 0x8d4fdf3b, 0x645a1cac,    -9 },
	{ 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,    -6 },
	{ 0xcccccccc, 0xcccccccc, 0xcccccccc,    -3 },
	{ 0x80000000, 0x00000000, 0x00000000,    1 },
	{ 0xa0000000, 0x00000000, 0x00000000,    4 },
	{ 0xc8000000, 0x00000000, 0x00000000,    7 },
	{ 0xfa000000, 0x00000000, 0x00000000,   10 },
	{ 0x9c400000, 0x00000000, 0x00000000,   14 },
	{ 0xc3500000, 0x00000000, 0x00000000,   17 },
	{ 0xf4240000, 0x00000000, 0x00000000,   20 },
	{ 0x98968000, 0x00000000, 0x00000000,   24 },
	{ 0xbebc2000, 0x00000000, 0x00000000,   27 },
	{ 0xee6b2800, 0x00000000, 0x00000000,   30 },
	{ 0x9502f900, 0x00000000, 0x00000000,   34 },
	{ 0xba43b740, 0x00000000, 0x00000000,   37 },
	{ 0xe8d4a510, 0x00000000, 0x00000000,   40 },
	{ 0x9184e72a, 0x00000000, 0x00000000,   44 },
	{ 0xb5e620f4, 0x80000000, 0x00000000,   47 },
	{ 0xe35fa931, 0xa0000000, 0x00000000,   50 },
	{ 0x8e1bc9bf, 0x04000000, 0x00000000,   54 },
	{ 0xb1a2bc2e, 0xc5000000, 0x00000000,   57 },
	{ 0xde0b6b3a, 0x76400000, 0x00000000,   60 },
	{ 0x8ac72304, 0x89e80000, 0x00000000,   64 },
	{ 0xad78ebc5, 0xac620000, 0x00000000,   67 },
	{ 0xd8d726b7, 0x177a8000, 0x00000000,   70 },
	{ 0x87867832, 0x6eac9000, 0x00000000,   74 },
	{ 0xa968163f, 0x0a57b400, 0x00000000,   77 },
	{ 0xd3c21bce, 0xcceda100, 0x00000000,   80 },
	{ 0x84595161, 0x401484a0, 0x00000000,   84 },
	{ 0xa56fa5b9, 0x9019a5c8, 0x00000000,   87 },
	{ 0xcecb8f27, 0xf4200f3a, 0x00000000,   90 },
	{ 0x813f3978, 0xf8940984, 0x40000000,   94 },
	{ 0xa18f07d7, 0x36b90be5, 0x50000000,   97 },
	{ 0xc9f2c9cd, 0x04674ede, 0xa4000000,  100 },
	{ 0xfc6f7c40, 0x45812296, 0x4d000000,  103 },
	{ 0x9dc5ada8, 0x2b70b59d, 0xf0200000,  107 },
	{ 0xc5371912, 0x364ce305, 0x6c280000,  110 },
	{ 0xf684df56, 0xc3e01bc6, 0xc7320000,  113 },
	{ 0x9a130b96, 0x3a6c115c, 0x3c7f4000,  117 },
	{ 0xc097ce7b, 0xc90715b3, 0x4b9f1000,  120 },
	{ 0xf0bdc21a, 0xbb48db20, 0x1e86d400,  123 },
	{ 0x96769950, 0xb50d88f4, 0x13144480,  127 },
	{ 0xbc143fa4, 0xe250eb31, 0x17d955a0,  130 },
	{ 0xeb194f8e, 0x1ae525fd, 0x5dcfab08,  133 },
	{ 0x92efd1b8, 0xd0cf37be, 0x5aa1cae5,  137 },
	{ 0xb7abc627, 0x050305ad, 0xf14a3d9e,  140 },
	{ 0xe596b7b0, 0xc643c719, 0x6d9ccd05,  143 },
	{ 0x8f7e32ce, 0x7bea5c6f, 0xe4820023,  147 },
	{ 0xb35dbf82, 0x1ae4f38b, 0xdda2802c,  150 },
	{ 0xe0352f62, 0xa19e306e, 0xd50b2037,  153 },
	{ 0x8c213d9d, 0xa502de45, 0x4526f422,  157 },
	{ 0xaf298d05, 0x0e4395d6, 0x9670b12b,  160 },
	{ 0xdaf3f046, 0x51d47b4c, 0x3c0cdd76,  163 },
	{ 0x88d8762b, 0xf324cd0f, 0xa5880a69,  167 },
	{ 0xab0e93b6, 0xefee0053, 0x8eea0d04,  170 },
	{ 0xd5d238a4, 0xabe98068, 0x72a49045,  173 },
	{ 0x85a36366, 0xeb71f041, 0x47a6da2b,  177 },
	{ 0xa70c3c40, 0xa64e6c51, 0x999090b6,  180 },
	{ 0xd0cf4b50, 0xcfe20765, 0xfff4b4e3,  183 },
	{ 0x82818f12, 0x81ed449f, 0xbff8f10e,  187 },
	{ 0xa321f2d7, 0x226895c7, 0xaff72d52,  190 },
	{ 0xcbea6f8c, 0xeb02bb39, 0x9bf4f8a6,  193 },
	{ 0xfee50b70, 0x25c36a08, 0x02f236d0,  196 },
	{ 0x9f4f2726, 0x179a2245, 0x01d76242,  200 },
	{ 0xc722f0ef, 0x9d80aad6, 0x424d3ad2,  203 },
	{ 0xf8ebad2b, 0x84e0d58b, 0xd2e08987,  206 },
	{ 0x9b934c3b, 0x330c8577, 0x63cc55f4,  210 },
	{ 0xc2781f49, 0xffcfa6d5, 0x3cbf6b71,  213 },
	{ 0xf316271c, 0x7fc3908a, 0x8bef464e,  216 },
	{ 0x97edd871, 0xcfda3a56, 0x97758bf0,  220 },
	{ 0xbde94e8e, 0x43d0c8ec, 0x3d52eeed,  223 },
	{ 0xed63a231, 0xd4c4fb27, 0x4ca7aaa8,  226 },
	{ 0x945e455f, 0x24fb1cf8, 0x8fe8caa9,  230 },
	{ 0xb975d6b6, 0xee39e436, 0xb3e2fd53,  233 },
	{ 0xe7d34c64, 0xa9c85d44, 0x60dbbca8,  236 },
	{ 0x90e40fbe, 0xea1d3a4a, 0xbc8955e9,  240 },
	{ 0xb51d13ae, 0xa4a488dd, 0x6babab63,  243 },
	{ 0xe264589a, 0x4dcdab14, 0xc696963c,  246 },
	{ 0x8d7eb760, 0x70a08aec, 0xfc1e1de5,  250 },
	{ 0xb0de6538, 0x8cc8ada8, 0x3b25a55f,  253 },
	{ 0xdd15fe86, 0xaffad912, 0x49ef0eb7,  256 },
	{ 0x8a2dbf14, 0x2dfcc7ab, 0x6e356932,  260 },
	{ 0xacb92ed9, 0x397bf996, 0x49c2c37f,  263 },
	{ 0xd7e77a8f, 0x87daf7fb, 0xdc33745e,  266 },
	{ 0x86f0ac99, 0xb4e8dafd, 0x69a028bb,  270 },
	{ 0xa8acd7c0, 0x222311bc, 0xc40832ea,  273 },
	{ 0xd2d80db0, 0x2aabd62b, 0xf50a3fa4,  276 },
	{ 0x83c7088e, 0x1aab65db, 0x792667c6,  280 },
	{ 0xa4b8cab1, 0xa1563f52, 0x577001b8,  283 },
	{ 0xcde6fd5e, 0x09abcf26, 0xed4c0226,  286 },
	{ 0x80b05e5a, 0xc60b6178, 0x544f8158,  290 },
	{ 0xa0dc75f1, 0x778e39d6, 0x696361ae,  293 },
	{ 0xc913936d, 0xd571c84c, 0x03bc3a19,  296 },
	{ 0xfb587849, 0x4ace3a5f, 0x04ab48a0,  299 },
	{ 0x9d174b2d, 0xcec0e47b, 0x62eb0d64,  303 },
	{ 0xc45d1df9, 0x42711d9a, 0x3ba5d0bd,  306 },
	{ 0xf5746577, 0x930d6500, 0xca8f44ec,  309 },
	{ 0x9968bf6a, 0xbbe85f20, 0x7e998b13,  313 },
	{ 0xbfc2ef45, 0x6ae276e8, 0x9e3fedd8,  316 },
	{ 0xefb3ab16, 0xc59b14a2, 0xc5cfe94e,  319 },
	{ 0x95d04aee, 0x3b80ece5, 0xbba1f1d1,  323 },
	{ 0xbb445da9, 0xca61281f, 0x2a8a6e45,  326 },
	{ 0xea157514, 0x3cf97226, 0xf52d09d7,  329 },
	{ 0x924d692c, 0xa61be758, 0x593c2626,  333 },
	{ 0xb6e0c377, 0xcfa2e12e, 0x6f8b2fb0,  336 },
	{ 0xe498f455, 0xc38b997a, 0x0b6dfb9c,  339 },
	{ 0x8edf98b5, 0x9a373fec, 0x4724bd41,  343 },
	{ 0xb2977ee3, 0x00c50fe7, 0x58edec91,  346 },
	{ 0xdf3d5e9b, 0xc0f653e1, 0x2f2967b6,  349 },
	{ 0x8b865b21, 0x5899f46c, 0xbd79e0d2,  353 },
	{ 0xae67f1e9, 0xaec07187, 0xecd85906,  356 },
	{ 0xda01ee64, 0x1a708de9, 0xe80e6f48,  359 },
	{ 0x884134fe, 0x908658b2, 0x3109058d,  363 },
	{ 0xaa51823e, 0x34a7eede, 0xbd4b46f0,  366 },
	{ 0xd4e5e2cd, 0xc1d1ea96, 0x6c9e18ac,  369 },
	{ 0x850fadc0, 0x9923329e, 0x03e2cf6b,  373 },
	{ 0xa6539930, 0xbf6bff45, 0x84db8346,  376 },
	{ 0xcfe87f7c, 0xef46ff16, 0xe6126418,  379 },
	{ 0x81f14fae, 0x158c5f6e, 0x4fcb7e8f,  383 },
	{ 0xa26da399, 0x9aef7749, 0xe3be5e33,  386 },
	{ 0xcb090c80, 0x01ab551c, 0x5cadf5bf,  389 },
	{ 0xfdcb4fa0, 0x02162a63, 0x73d9732f,  392 },
	{ 0x9e9f11c4, 0x014dda7e, 0x2867e7fd,  396 },
	{ 0xc646d635, 0x01a1511d, 0xb281e1fd,  399 },
	{ 0xf7d88bc2, 0x4209a565, 0x1f225a7c,  402 },
	{ 0x9ae75759, 0x6946075f, 0x3375788d,  406 },
	{ 0xc1a12d2f, 0xc3978937, 0x0052d6b1,  409 },
	{ 0xf209787b, 0xb47d6b84, 0xc0678c5d,  412 },
	{ 0x9745eb4d, 0x50ce6332, 0xf840b7ba,  416 },
	{ 0xbd176620, 0xa501fbff, 0xb650e5a9,  419 },
	{ 0xec5d3fa8, 0xce427aff, 0xa3e51f13,  422 },
	{ 0x93ba47c9, 0x80e98cdf, 0xc66f336c,  426 },
	{ 0xb8a8d9bb, 0xe123f017, 0xb80b0047,  429 },
	{ 0xe6d3102a, 0xd96cec1d, 0xa60dc059,  432 },
	{ 0x9043ea1a, 0xc7e41392, 0x87c89837,  436 },
	{ 0xb454e4a1, 0x79dd1877, 0x29babe45,  439 },
	{ 0xe16a1dc9, 0xd8545e94, 0xf4296dd6,  442 },
	{ 0x8ce2529e, 0x2734bb1d, 0x1899e4a6,  446 },
	{ 0xb01ae745, 0xb101e9e4, 0x5ec05dcf,  449 },
	{ 0xdc21a117, 0x1d42645d, 0x76707543,  452 },
	{ 0x899504ae, 0x72497eba, 0x6a06494a,  456 },
	{ 0xabfa45da, 0x0edbde69, 0x0487db9d,  459 },
	{ 0xd6f8d750, 0x9292d603, 0x45a9d284,  462 },
	{ 0x865b8692, 0x5b9bc5c2, 0x0b8a2392,  466 },
	{ 0xa7f26836, 0xf282b732, 0x8e6cac77,  469 },
	{ 0xd1ef0244, 0xaf2364ff, 0x3207d795,  472 },
	{ 0x8335616a, 0xed761f1f, 0x7f44e6bd,  476 },
	{ 0xa402b9c5, 0xa8d3a6e7, 0x5f16206c,  479 },
	{ 0xcd036837, 0x130890a1, 0x36dba887,  482 },
	{ 0x80222122, 0x6be55a64, 0xc2494954,  486 },
	{ 0xa02aa96b, 0x06deb0fd, 0xf2db9baa,  489 },
	{ 0xc83553c5, 0xc8965d3d, 0x6f928294,  492 },
	{ 0xfa42a8b7, 0x3abbf48c, 0xcb772339,  495 },
	{ 0x9c69a972, 0x84b578d7, 0xff2a7604,  499 },
	{ 0xc38413cf, 0x25e2d70d, 0xfef51385,  502 },
	{ 0xf46518c2, 0xef5b8cd1, 0x7eb25866,  505 },
	{ 0x98bf2f79, 0xd5993802, 0xef2f773f,  509 },
	{ 0xbeeefb58, 0x4aff8603, 0xaafb550f,  512 },
	{ 0xeeaaba2e, 0x5dbf6784, 0x95ba2a53,  515 },
	{ 0x952ab45c, 0xfa97a0b2, 0xdd945a74,  519 },
	{ 0xba756174, 0x393d88df, 0x94f97111,  522 },
	{ 0xe912b9d1, 0x478ceb17, 0x7a37cd56,  525 },
	{ 0x91abb422, 0xccb812ee, 0xac62e055,  529 },
	{ 0xb616a12b, 0x7fe617aa, 0x577b986b,  532 },
	{ 0xe39c4976, 0x5fdf9d94, 0xed5a7e85,  535 },
	{ 0x8e41ade9, 0xfbebc27d, 0x14588f13,  539 },
	{ 0xb1d21964, 0x7ae6b31c, 0x596eb2d8,  542 },
	{ 0xde469fbd, 0x99a05fe3, 0x6fca5f8e,  545 },
	{ 0x8aec23d6, 0x80043bee, 0x25de7bb9,  549 },
	{ 0xada72ccc, 0x20054ae9, 0xaf561aa7,  552 },
	{ 0xd910f7ff, 0x28069da4, 0x1b2ba151,  555 },
	{ 0x87aa9aff, 0x79042286, 0x90fb44d2,  559 },
	{ 0xa99541bf, 0x57452b28, 0x353a1607,  562 },
	{ 0xd3fa922f, 0x2d1675f2, 0x42889b89,  565 },
	{ 0x847c9b5d, 0x7c2e09b7, 0x69956135,  569 },
	{ 0xa59bc234, 0xdb398c25, 0x43fab983,  572 },
	{ 0xcf02b2c2, 0x1207ef2e, 0x94f967e4,  575 },
	{ 0x8161afb9, 0x4b44f57d, 0x1d1be0ee,  579 },
	{ 0xa1ba1ba7, 0x9e1632dc, 0x6462d92a,  582 },
	{ 0xca28a291, 0x859bbf93, 0x7d7b8f75,  585 },
	{ 0xfcb2cb35, 0xe702af78, 0x5cda7352,  588 },
	{ 0x9defbf01, 0xb061adab, 0x3a088813,  592 },
	{ 0xc56baec2, 0x1c7a1916, 0x088aaa18,  595 },
	{ 0xf6c69a72, 0xa3989f5b, 0x8aad549e,  598 },
	{ 0x9a3c2087, 0xa63f6399, 0x36ac54e2,  602 },
	{ 0xc0cb28a9, 0x8fcf3c7f, 0x84576a1b,  605 },
	{ 0xf0fdf2d3, 0xf3c30b9f, 0x656d44a2,  608 },
	{ 0x969eb7c4, 0x7859e743, 0x9f644ae5,  612 },
	{ 0xbc4665b5, 0x96706114, 0x873d5d9f,  615 },
	{ 0xeb57ff22, 0xfc0c7959, 0xa90cb506,  618 },
	{ 0x9316ff75, 0xdd87cbd8, 0x09a7f124,  622 },
	{ 0xb7dcbf53, 0x54e9bece, 0x0c11ed6d,  625 },
	{ 0xe5d3ef28, 0x2a242e81, 0x8f1668c8,  628 },
	{ 0x8fa47579, 0x1a569d10, 0xf96e017d,  632 },
	{ 0xb38d92d7, 0x60ec4455, 0x37c981dc,  635 },
	{ 0xe070f78d, 0x3927556a, 0x85bbe253,  638 },
	{ 0x8c469ab8, 0x43b89562, 0x93956d74,  642 },
	{ 0xaf584166, 0x54a6babb, 0x387ac8d1,  645 },
	{ 0xdb2e51bf, 0xe9d0696a, 0x06997b05,  648 },
	{ 0x88fcf317, 0xf22241e2, 0x441fece3,  652 },
	{ 0xab3c2fdd, 0xeeaad25a, 0xd527e81c,  655 },
	{ 0xd60b3bd5, 0x6a5586f1, 0x8a71e223,  658 },
	{ 0x85c70565, 0x62757456, 0xf6872d56,  662 },
	{ 0xa738c6be, 0xbb12d16c, 0xb428f8ac,  665 },
	{ 0xd106f86e, 0x69d785c7, 0xe13336d7,  668 },
	{ 0x82a45b45, 0x0226b39c, 0xecc00246,  672 },
	{ 0xa34d7216, 0x42b06084, 0x27f002d7,  675 },
	{ 0xcc20ce9b, 0xd35c78a5, 0x31ec038d,  678 },
	{ 0xff290242, 0xc83396ce, 0x7e670471,  681 },
	{ 0x9f79a169, 0xbd203e41, 0x0f0062c6,  685 },
	{ 0xc75809c4, 0x2c684dd1, 0x52c07b78,  688 },
	{ 0xf92e0c35, 0x37826145, 0xa7709a56,  691 },
	{ 0x9bbcc7a1, 0x42b17ccb, 0x88a66076,  695 },
	{ 0xc2abf989, 0x935ddbfe, 0x6acff893,  698 },
	{ 0xf356f7eb, 0xf83552fe, 0x0583f6b8,  701 },
	{ 0x98165af3, 0x7b2153de, 0xc3727a33,  705 },
	{ 0xbe1bf1b0, 0x59e9a8d6, 0x744f18c0,  708 },
	{ 0xeda2ee1c, 0x7064130c, 0x1162def0,  711 },
	{ 0x9485d4d1, 0xc63e8be7, 0x8addcb56,  715 },
	{ 0xb9a74a06, 0x37ce2ee1, 0x6d953e2b,  718 },
	{ 0xe8111c87, 0xc5c1ba99, 0xc8fa8db6,  721 },
	{ 0x910ab1d4, 0xdb9914a0, 0x1d9c9892,  725 },
	{ 0xb54d5e4a, 0x127f59c8, 0x2503beb6,  728 },
	{ 0xe2a0b5dc, 0x971f303a, 0x2e44ae64,  731 },
	{ 0x8da471a9, 0xde737e24, 0x5ceaecfe,  735 },
	{ 0xb10d8e14, 0x56105dad, 0x7425a83e,  738 },
	{ 0xdd50f199, 0x6b947518, 0xd12f124e,  741 },
	{ 0x8a5296ff, 0xe33cc92f, 0x82bd6b70,  745 },
	{ 0xace73cbf, 0xdc0bfb7b, 0x636cc64d,  748 },
	{ 0xd8210bef, 0xd30efa5a, 0x3c47f7e0,  751 },
	{ 0x8714a775, 0xe3e95c78, 0x65acfaec,  755 },
	{ 0xa8d9d153, 0x5ce3b396, 0x7f1839a7,  758 },
	{ 0xd31045a8, 0x341ca07c, 0x1ede4811,  761 },
	{ 0x83ea2b89, 0x2091e44d, 0x934aed0a,  765 },
	{ 0xa4e4b66b, 0x68b65d60, 0xf81da84d,  768 },
	{ 0xce1de406, 0x42e3f4b9, 0x36251260,  771 },
	{ 0x80d2ae83, 0xe9ce78f3, 0xc1d72b7c,  775 },
	{ 0xa1075a24, 0xe4421730, 0xb24cf65b,  778 },
	{ 0xc94930ae, 0x1d529cfc, 0xdee033f2,  781 },
	{ 0xfb9b7cd9, 0xa4a7443c, 0x169840ef,  784 },
	{ 0x9d412e08, 0x06e88aa5, 0x8e1f2895,  788 },
	{ 0xc491798a, 0x08a2ad4e, 0xf1a6f2ba,  791 },
	{ 0xf5b5d7ec, 0x8acb58a2, 0xae10af69,  794 },
	{ 0x9991a6f3, 0xd6bf1765, 0xacca6da1,  798 },
	{ 0xbff610b0, 0xcc6edd3f, 0x17fd090a,  801 },
	{ 0xeff394dc, 0xff8a948e, 0xddfc4b4c,  804 },
	{ 0x95f83d0a, 0x1fb69cd9, 0x4abdaf10,  808 },
	{ 0xbb764c4c, 0xa7a4440f, 0x9d6d1ad4,  811 },
	{ 0xea53df5f, 0xd18d5513, 0x84c86189,  814 },
	{ 0x92746b9b, 0xe2f8552c, 0x32fd3cf5,  818 },
	{ 0xb7118682, 0xdbb66a77, 0x3fbc8c33,  821 },
	{ 0xe4d5e823, 0x92a40515, 0x0fabaf3f,  824 },
	{ 0x8f05b116, 0x3ba6832d, 0x29cb4d87,  828 },
	{ 0xb2c71d5b, 0xca9023f8, 0x743e20e9,  831 },
	{ 0xdf78e4b2, 0xbd342cf6, 0x914da924,  834 },
	{ 0x8bab8eef, 0xb6409c1a, 0x1ad089b6,  838 },
	{ 0xae9672ab, 0xa3d0c320, 0xa184ac24,  841 },
	{ 0xda3c0f56, 0x8cc4f3e8, 0xc9e5d72d,  844 },
	{ 0x88658996, 0x17fb1871, 0x7e2fa67c,  848 },
	{ 0xaa7eebfb, 0x9df9de8d, 0xddbb901b,  851 },
	{ 0xd51ea6fa, 0x85785631, 0x552a7422,  854 },
	{ 0x8533285c, 0x936b35de, 0xd53a8895,  858 },
	{ 0xa67ff273, 0xb8460356, 0x8a892aba,  861 },
	{ 0xd01fef10, 0xa657842c, 0x2d2b7569,  864 },
	{ 0x8213f56a, 0x67f6b29b, 0x9c3b2962,  868 },
	{ 0xa298f2c5, 0x01f45f42, 0x8349f3ba,  871 },
	{ 0xcb3f2f76, 0x42717713, 0x241c70a9,  874 },
	{ 0xfe0efb53, 0xd30dd4d7, 0xed238cd3,  877 },
	{ 0x9ec95d14, 0x63e8a506, 0xf4363804,  881 },
	{ 0xc67bb459, 0x7ce2ce48, 0xb143c605,  884 },
	{ 0xf81aa16f, 0xdc1b81da, 0xdd94b786,  887 },
	{ 0x9b10a4e5, 0xe9913128, 0xca7cf2b4,  891 },
	{ 0xc1d4ce1f, 0x63f57d72, 0xfd1c2f61,  894 },
	{ 0xf24a01a7, 0x3cf2dccf, 0xbc633b39,  897 },
	{ 0x976e4108, 0x8617ca01, 0xd5be0503,  901 },
	{ 0xbd49d14a, 0xa79dbc82, 0x4b2d8644,  904 },
	{ 0xec9c459d, 0x51852ba2, 0xddf8e7d6,  907 },
	{ 0x93e1ab82, 0x52f33b45, 0xcabb90e5,  911 },
	{ 0xb8da1662, 0xe7b00a17, 0x3d6a751f,  914 },
	{ 0xe7109bfb, 0xa19c0c9d, 0x0cc51267,  917 },
	{ 0x906a617d, 0x450187e2, 0x27fb2b80,  921 },
	{ 0xb484f9dc, 0x9641e9da, 0xb1f9f660,  924 },
	{ 0xe1a63853, 0xbbd26451, 0x5e7873f8,  927 },
	{ 0x8d07e334, 0x55637eb2, 0xdb0b487b,  931 },
	{ 0xb049dc01, 0x6abc5e5f, 0x91ce1a9a,  934 },
	{ 0xdc5c5301, 0xc56b75f7, 0x7641a140,  937 },
	{ 0x89b9b3e1, 0x1b6329ba, 0xa9e904c8,  941 },
	{ 0xac2820d9, 0x623bf429, 0x546345fa,  944 },
	{ 0xd732290f, 0xbacaf133, 0xa97c1779,  947 },
	{ 0x867f59a9, 0xd4bed6c0, 0x49ed8eab,  951 },
	{ 0xa81f3014, 0x49ee8c70, 0x5c68f256,  954 },
	{ 0xd226fc19, 0x5c6a2f8c, 0x73832eec,  957 },
	{ 0x83585d8f, 0xd9c25db7, 0xc831fd53,  961 },
	{ 0xa42e74f3, 0xd032f525, 0xba3e7ca8,  964 },
	{ 0xcd3a1230, 0xc43fb26f, 0x28ce1bd2,  967 },
	{ 0x80444b5e, 0x7aa7cf85, 0x7980d163,  971 },
	{ 0xa0555e36, 0x1951c366, 0xd7e105bc,  974 },
	{ 0xc86ab5c3, 0x9fa63440, 0x8dd9472b,  977 },
	{ 0xfa856334, 0x878fc150, 0xb14f98f6,  980 },
	{ 0x9c935e00, 0xd4b9d8d2, 0x6ed1bf9a,  984 },
	{ 0xc3b83581, 0x09e84f07, 0x0a862f80,  987 },
	{ 0xf4a642e1, 0x4c6262c8, 0xcd27bb61,  990 },
	{ 0x98e7e9cc, 0xcfbd7dbd, 0x8038d51c,  994 },
	{ 0xbf21e440, 0x03acdd2c, 0xe0470a63,  997 },
	{ 0xeeea5d50, 0x04981478, 0x1858ccfc, 1000 },
	{ 0x95527a52, 0x02df0ccb, 0x0f37801e, 1004 },
	{ 0xbaa718e6, 0x8396cffd, 0xd3056025, 1007 },
	{ 0xe950df20, 0x247c83fd, 0x47c6b82e, 1010 },
	{ 0x91d28b74, 0x16cdd27e, 0x4cdc331d, 1014 },
	{ 0xb6472e51, 0x1c81471d, 0xe0133fe4, 1017 },
	{ 0xe3d8f9e5, 0x63a198e5, 0x58180fdd, 1020 },
	{ 0x8e679c2f, 0x5e44ff8f, 0x570f09ea, 1024 },
	{ 0xb201833b, 0x35d63f73, 0x2cd2cc65, 1027 },
	{ 0xde81e40a, 0x034bcf4f, 0xf8077f7e, 1030 },
	{ 0x8b112e86, 0x420f6191, 0xfb04afaf, 1034 },
	{ 0xadd57a27, 0xd29339f6, 0x79c5db9a, 1037 },
	{ 0xd94ad8b1, 0xc7380874, 0x18375281, 1040 },
	{ 0x87cec76f, 0x1c830548, 0x8f229391, 1044 },
	{ 0xa9c2794a, 0xe3a3c69a, 0xb2eb3875, 1047 },
	{ 0xd433179d, 0x9c8cb841, 0x5fa60692, 1050 },
	{ 0x849feec2, 0x81d7f328, 0xdbc7c41b, 1054 },
	{ 0xa5c7ea73, 0x224deff3, 0x12b9b522, 1057 },
	{ 0xcf39e50f, 0xeae16bef, 0xd768226b, 1060 },
	{ 0x81842f29, 0xf2cce375, 0xe6a11583, 1064 },
	{ 0xa1e53af4, 0x6f801c53, 0x60495ae3, 1067 },
	{ 0xca5e89b1, 0x8b602368, 0x385bb19c, 1070 },
	{ 0xfcf62c1d, 0xee382c42, 0x46729e03, 1073 },
	{ 0x9e19db92, 0xb4e31ba9, 0x6c07a2c2, 1077 }
	};
 
static ULLong pfive[27] = {
		5ll,
		25ll,
		125ll,
		625ll,
		3125ll,
		15625ll,
		78125ll,
		390625ll,
		1953125ll,
		9765625ll,
		48828125ll,
		244140625ll,
		1220703125ll,
		6103515625ll,
		30517578125ll,
		152587890625ll,
		762939453125ll,
		3814697265625ll,
		19073486328125ll,
		95367431640625ll,
		476837158203125ll,
		2384185791015625ll,
		11920928955078125ll,
		59604644775390625ll,
		298023223876953125ll,
		1490116119384765625ll,
		7450580596923828125ll
		};

#ifndef DISABLE_DTOA
static short int Lhint[2098] = {
	   /*18,*/19,    19,    19,    19,    20,    20,    20,    21,    21,
	   21,    22,    22,    22,    23,    23,    23,    23,    24,    24,
	   24,    25,    25,    25,    26,    26,    26,    26,    27,    27,
	   27,    28,    28,    28,    29,    29,    29,    29,    30,    30,
	   30,    31,    31,    31,    32,    32,    32,    32,    33,    33,
	   33,    34,    34,    34,    35,    35,    35,    35,    36,    36,
	   36,    37,    37,    37,    38,    38,    38,    38,    39,    39,
	   39,    40,    40,    40,    41,    41,    41,    41,    42,    42,
	   42,    43,    43,    43,    44,    44,    44,    44,    45,    45,
	   45,    46,    46,    46,    47,    47,    47,    47,    48,    48,
	   48,    49,    49,    49,    50,    50,    50,    51,    51,    51,
	   51,    52,    52,    52,    53,    53,    53,    54,    54,    54,
	   54,    55,    55,    55,    56,    56,    56,    57,    57,    57,
	   57,    58,    58,    58,    59,    59,    59,    60,    60,    60,
	   60,    61,    61,    61,    62,    62,    62,    63,    63,    63,
	   63,    64,    64,    64,    65,    65,    65,    66,    66,    66,
	   66,    67,    67,    67,    68,    68,    68,    69,    69,    69,
	   69,    70,    70,    70,    71,    71,    71,    72,    72,    72,
	   72,    73,    73,    73,    74,    74,    74,    75,    75,    75,
	   75,    76,    76,    76,    77,    77,    77,    78,    78,    78,
	   78,    79,    79,    79,    80,    80,    80,    81,    81,    81,
	   82,    82,    82,    82,    83,    83,    83,    84,    84,    84,
	   85,    85,    85,    85,    86,    86,    86,    87,    87,    87,
	   88,    88,    88,    88,    89,    89,    89,    90,    90,    90,
	   91,    91,    91,    91,    92,    92,    92,    93,    93,    93,
	   94,    94,    94,    94,    95,    95,    95,    96,    96,    96,
	   97,    97,    97,    97,    98,    98,    98,    99,    99,    99,
	  100,   100,   100,   100,   101,   101,   101,   102,   102,   102,
	  103,   103,   103,   103,   104,   104,   104,   105,   105,   105,
	  106,   106,   106,   106,   107,   107,   107,   108,   108,   108,
	  109,   109,   109,   110,   110,   110,   110,   111,   111,   111,
	  112,   112,   112,   113,   113,   113,   113,   114,   114,   114,
	  115,   115,   115,   116,   116,   116,   116,   117,   117,   117,
	  118,   118,   118,   119,   119,   119,   119,   120,   120,   120,
	  121,   121,   121,   122,   122,   122,   122,   123,   123,   123,
	  124,   124,   124,   125,   125,   125,   125,   126,   126,   126,
	  127,   127,   127,   128,   128,   128,   128,   129,   129,   129,
	  130,   130,   130,   131,   131,   131,   131,   132,   132,   132,
	  133,   133,   133,   134,   134,   134,   134,   135,   135,   135,
	  136,   136,   136,   137,   137,   137,   137,   138,   138,   138,
	  139,   139,   139,   140,   140,   140,   141,   141,   141,   141,
	  142,   142,   142,   143,   143,   143,   144,   144,   144,   144,
	  145,   145,   145,   146,   146,   146,   147,   147,   147,   147,
	  148,   148,   148,   149,   149,   149,   150,   150,   150,   150,
	  151,   151,   151,   152,   152,   152,   153,   153,   153,   153,
	  154,   154,   154,   155,   155,   155,   156,   156,   156,   156,
	  157,   157,   157,   158,   158,   158,   159,   159,   159,   159,
	  160,   160,   160,   161,   161,   161,   162,   162,   162,   162,
	  163,   163,   163,   164,   164,   164,   165,   165,   165,   165,
	  166,   166,   166,   167,   167,   167,   168,   168,   168,   169,
	  169,   169,   169,   170,   170,   170,   171,   171,   171,   172,
	  172,   172,   172,   173,   173,   173,   174,   174,   174,   175,
	  175,   175,   175,   176,   176,   176,   177,   177,   177,   178,
	  178,   178,   178,   179,   179,   179,   180,   180,   180,   181,
	  181,   181,   181,   182,   182,   182,   183,   183,   183,   184,
	  184,   184,   184,   185,   185,   185,   186,   186,   186,   187,
	  187,   187,   187,   188,   188,   188,   189,   189,   189,   190,
	  190,   190,   190,   191,   191,   191,   192,   192,   192,   193,
	  193,   193,   193,   194,   194,   194,   195,   195,   195,   196,
	  196,   196,   197,   197,   197,   197,   198,   198,   198,   199,
	  199,   199,   200,   200,   200,   200,   201,   201,   201,   202,
	  202,   202,   203,   203,   203,   203,   204,   204,   204,   205,
	  205,   205,   206,   206,   206,   206,   207,   207,   207,   208,
	  208,   208,   209,   209,   209,   209,   210,   210,   210,   211,
	  211,   211,   212,   212,   212,   212,   213,   213,   213,   214,
	  214,   214,   215,   215,   215,   215,   216,   216,   216,   217,
	  217,   217,   218,   218,   218,   218,   219,   219,   219,   220,
	  220,   220,   221,   221,   221,   221,   222,   222,   222,   223,
	  223,   223,   224,   224,   224,   224,   225,   225,   225,   226,
	  226,   226,   227,   227,   227,   228,   228,   228,   228,   229,
	  229,   229,   230,   230,   230,   231,   231,   231,   231,   232,
	  232,   232,   233,   233,   233,   234,   234,   234,   234,   235,
	  235,   235,   236,   236,   236,   237,   237,   237,   237,   238,
	  238,   238,   239,   239,   239,   240,   240,   240,   240,   241,
	  241,   241,   242,   242,   242,   243,   243,   243,   243,   244,
	  244,   244,   245,   245,   245,   246,   246,   246,   246,   247,
	  247,   247,   248,   248,   248,   249,   249,   249,   249,   250,
	  250,   250,   251,   251,   251,   252,   252,   252,   252,   253,
	  253,   253,   254,   254,   254,   255,   255,   255,   256,   256,
	  256,   256,   257,   257,   257,   258,   258,   258,   259,   259,
	  259,   259,   260,   260,   260,   261,   261,   261,   262,   262,
	  262,   262,   263,   263,   263,   264,   264,   264,   265,   265,
	  265,   265,   266,   266,   266,   267,   267,   267,   268,   268,
	  268,   268,   269,   269,   269,   270,   270,   270,   271,   271,
	  271,   271,   272,   272,   272,   273,   273,   273,   274,   274,
	  274,   274,   275,   275,   275,   276,   276,   276,   277,   277,
	  277,   277,   278,   278,   278,   279,   279,   279,   280,   280,
	  280,   280,   281,   281,   281,   282,   282,   282,   283,   283,
	  283,   283,   284,   284,   284,   285,   285,   285,   286,   286,
	  286,   287,   287,   287,   287,   288,   288,   288,   289,   289,
	  289,   290,   290,   290,   290,   291,   291,   291,   292,   292,
	  292,   293,   293,   293,   293,   294,   294,   294,   295,   295,
	  295,   296,   296,   296,   296,   297,   297,   297,   298,   298,
	  298,   299,   299,   299,   299,   300,   300,   300,   301,   301,
	  301,   302,   302,   302,   302,   303,   303,   303,   304,   304,
	  304,   305,   305,   305,   305,   306,   306,   306,   307,   307,
	  307,   308,   308,   308,   308,   309,   309,   309,   310,   310,
	  310,   311,   311,   311,   311,   312,   312,   312,   313,   313,
	  313,   314,   314,   314,   315,   315,   315,   315,   316,   316,
	  316,   317,   317,   317,   318,   318,   318,   318,   319,   319,
	  319,   320,   320,   320,   321,   321,   321,   321,   322,   322,
	  322,   323,   323,   323,   324,   324,   324,   324,   325,   325,
	  325,   326,   326,   326,   327,   327,   327,   327,   328,   328,
	  328,   329,   329,   329,   330,   330,   330,   330,   331,   331,
	  331,   332,   332,   332,   333,   333,   333,   333,   334,   334,
	  334,   335,   335,   335,   336,   336,   336,   336,   337,   337,
	  337,   338,   338,   338,   339,   339,   339,   339,   340,   340,
	  340,   341,   341,   341,   342,   342,   342,   342,   343,   343,
	  343,   344,   344,   344,   345,   345,   345,   346,   346,   346,
	  346,   347,   347,   347,   348,   348,   348,   349,   349,   349,
	  349,   350,   350,   350,   351,   351,   351,   352,   352,   352,
	  352,   353,   353,   353,   354,   354,   354,   355,   355,   355,
	  355,   356,   356,   356,   357,   357,   357,   358,   358,   358,
	  358,   359,   359,   359,   360,   360,   360,   361,   361,   361,
	  361,   362,   362,   362,   363,   363,   363,   364,   364,   364,
	  364,   365,   365,   365,   366,   366,   366,   367,   367,   367,
	  367,   368,   368,   368,   369,   369,   369,   370,   370,   370,
	  370,   371,   371,   371,   372,   372,   372,   373,   373,   373,
	  374,   374,   374,   374,   375,   375,   375,   376,   376,   376,
	  377,   377,   377,   377,   378,   378,   378,   379,   379,   379,
	  380,   380,   380,   380,   381,   381,   381,   382,   382,   382,
	  383,   383,   383,   383,   384,   384,   384,   385,   385,   385,
	  386,   386,   386,   386,   387,   387,   387,   388,   388,   388,
	  389,   389,   389,   389,   390,   390,   390,   391,   391,   391,
	  392,   392,   392,   392,   393,   393,   393,   394,   394,   394,
	  395,   395,   395,   395,   396,   396,   396,   397,   397,   397,
	  398,   398,   398,   398,   399,   399,   399,   400,   400,   400,
	  401,   401,   401,   402,   402,   402,   402,   403,   403,   403,
	  404,   404,   404,   405,   405,   405,   405,   406,   406,   406,
	  407,   407,   407,   408,   408,   408,   408,   409,   409,   409,
	  410,   410,   410,   411,   411,   411,   411,   412,   412,   412,
	  413,   413,   413,   414,   414,   414,   414,   415,   415,   415,
	  416,   416,   416,   417,   417,   417,   417,   418,   418,   418,
	  419,   419,   419,   420,   420,   420,   420,   421,   421,   421,
	  422,   422,   422,   423,   423,   423,   423,   424,   424,   424,
	  425,   425,   425,   426,   426,   426,   426,   427,   427,   427,
	  428,   428,   428,   429,   429,   429,   429,   430,   430,   430,
	  431,   431,   431,   432,   432,   432,   433,   433,   433,   433,
	  434,   434,   434,   435,   435,   435,   436,   436,   436,   436,
	  437,   437,   437,   438,   438,   438,   439,   439,   439,   439,
	  440,   440,   440,   441,   441,   441,   442,   442,   442,   442,
	  443,   443,   443,   444,   444,   444,   445,   445,   445,   445,
	  446,   446,   446,   447,   447,   447,   448,   448,   448,   448,
	  449,   449,   449,   450,   450,   450,   451,   451,   451,   451,
	  452,   452,   452,   453,   453,   453,   454,   454,   454,   454,
	  455,   455,   455,   456,   456,   456,   457,   457,   457,   457,
	  458,   458,   458,   459,   459,   459,   460,   460,   460,   461,
	  461,   461,   461,   462,   462,   462,   463,   463,   463,   464,
	  464,   464,   464,   465,   465,   465,   466,   466,   466,   467,
	  467,   467,   467,   468,   468,   468,   469,   469,   469,   470,
	  470,   470,   470,   471,   471,   471,   472,   472,   472,   473,
	  473,   473,   473,   474,   474,   474,   475,   475,   475,   476,
	  476,   476,   476,   477,   477,   477,   478,   478,   478,   479,
	  479,   479,   479,   480,   480,   480,   481,   481,   481,   482,
	  482,   482,   482,   483,   483,   483,   484,   484,   484,   485,
	  485,   485,   485,   486,   486,   486,   487,   487,   487,   488,
	  488,   488,   488,   489,   489,   489,   490,   490,   490,   491,
	  491,   491,   492,   492,   492,   492,   493,   493,   493,   494,
	  494,   494,   495,   495,   495,   495,   496,   496,   496,   497,
	  497,   497,   498,   498,   498,   498,   499,   499,   499,   500,
	  500,   500,   501,   501,   501,   501,   502,   502,   502,   503,
	  503,   503,   504,   504,   504,   504,   505,   505,   505,   506,
	  506,   506,   507,   507,   507,   507,   508,   508,   508,   509,
	  509,   509,   510,   510,   510,   510,   511,   511,   511,   512,
	  512,   512,   513,   513,   513,   513,   514,   514,   514,   515,
	  515,   515,   516,   516,   516,   516,   517,   517,   517,   518,
	  518,   518,   519,   519,   519,   520,   520,   520,   520,   521,
	  521,   521,   522,   522,   522,   523,   523,   523,   523,   524,
	  524,   524,   525,   525,   525,   526,   526,   526,   526,   527,
	  527,   527,   528,   528,   528,   529,   529,   529,   529,   530,
	  530,   530,   531,   531,   531,   532,   532,   532,   532,   533,
	  533,   533,   534,   534,   534,   535,   535,   535,   535,   536,
	  536,   536,   537,   537,   537,   538,   538,   538,   538,   539,
	  539,   539,   540,   540,   540,   541,   541,   541,   541,   542,
	  542,   542,   543,   543,   543,   544,   544,   544,   544,   545,
	  545,   545,   546,   546,   546,   547,   547,   547,   548,   548,
	  548,   548,   549,   549,   549,   550,   550,   550,   551,   551,
	  551,   551,   552,   552,   552,   553,   553,   553,   554,   554,
	  554,   554,   555,   555,   555,   556,   556,   556,   557,   557,
	  557,   557,   558,   558,   558,   559,   559,   559,   560,   560,
	  560,   560,   561,   561,   561,   562,   562,   562,   563,   563,
	  563,   563,   564,   564,   564,   565,   565,   565,   566,   566,
	  566,   566,   567,   567,   567,   568,   568,   568,   569,   569,
	  569,   569,   570,   570,   570,   571,   571,   571,   572,   572,
	  572,   572,   573,   573,   573,   574,   574,   574,   575,   575,
	  575,   575,   576,   576,   576,   577,   577,   577,   578,   578,
	  578,   579,   579,   579,   579,   580,   580,   580,   581,   581,
	  581,   582,   582,   582,   582,   583,   583,   583,   584,   584,
	  584,   585,   585,   585,   585,   586,   586,   586,   587,   587,
	  587,   588,   588,   588,   588,   589,   589,   589,   590,   590,
	  590,   591,   591,   591,   591,   592,   592,   592,   593,   593,
	  593,   594,   594,   594,   594,   595,   595,   595,   596,   596,
	  596,   597,   597,   597,   597,   598,   598,   598,   599,   599,
	  599,   600,   600,   600,   600,   601,   601,   601,   602,   602,
	  602,   603,   603,   603,   603,   604,   604,   604,   605,   605,
	  605,   606,   606,   606,   607,   607,   607,   607,   608,   608,
	  608,   609,   609,   609,   610,   610,   610,   610,   611,   611,
	  611,   612,   612,   612,   613,   613,   613,   613,   614,   614,
	  614,   615,   615,   615,   616,   616,   616,   616,   617,   617,
	  617,   618,   618,   618,   619,   619,   619,   619,   620,   620,
	  620,   621,   621,   621,   622,   622,   622,   622,   623,   623,
	  623,   624,   624,   624,   625,   625,   625,   625,   626,   626,
	  626,   627,   627,   627,   628,   628,   628,   628,   629,   629,
	  629,   630,   630,   630,   631,   631,   631,   631,   632,   632,
	  632,   633,   633,   633,   634,   634,   634,   634,   635,   635,
	  635,   636,   636,   636,   637,   637,   637,   638,   638,   638,
	  638,   639,   639,   639,   640,   640,   640,   641,   641,   641,
	  641,   642,   642,   642,   643,   643,   643,   644,   644,   644,
	  644,   645,   645,   645,   646,   646,   646,   647,   647,   647,
	  647,   648,   648,   648,   649,   649,   649,   650,   650 };

 static int pfivebits[25] = {3, 5, 7, 10, 12, 14, 17, 19, 21, 24, 26, 28, 31,
			     33, 35, 38, 40, 42, 45, 47, 49, 52, 54, 56, 59};
#endif

#endif /*}*/
#endif /*}} NO_LONG_LONG */

typedef union { double d; ULong L[2];
#ifdef USE_BF96
	ULLong LL;
#endif
	} 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
#define LLval(x) (x)->LL

#ifndef STRTOD_DIGLIM
#define STRTOD_DIGLIM 40
#endif

#ifdef DIGLIM_DEBUG
extern int strtod_diglim;
#else
#define strtod_diglim STRTOD_DIGLIM
#endif

/* The following definition of Storeinc is appropriate for MIPS processors.
 * An alternative that might be better on some machines is
 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 */
#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 Nbits 53
#define Bias 1023
#define Emax 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 NO_IEEE_Scale
#define Avoid_Underflow
#ifdef Flush_Denorm	/* debugging option */
#undef Sudden_Underflow
#endif
#endif

#ifndef Flt_Rounds
#ifdef FLT_ROUNDS
#define Flt_Rounds FLT_ROUNDS
#else
#define Flt_Rounds 1
#endif
#endif /*Flt_Rounds*/

#ifdef Honor_FLT_ROUNDS
#undef Check_FLT_ROUNDS
#define Check_FLT_ROUNDS
#else
#define Rounding Flt_Rounds
#endif

#else /* ifndef IEEE_Arith */
#undef Check_FLT_ROUNDS
#undef Honor_FLT_ROUNDS
#undef SET_INEXACT
#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 Nbits 56
#define Bias 65
#define Emax 248
#define Emin (-260)
#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 Nbits 56
#define Bias 129
#define Emax 126
#define Emin (-129)
#define Exp_1  0x40800000
#define Exp_11 0x4080
#define Ebits 8
#define Frac_mask  0x7fffff
#define Frac_mask1 0xffff007f
#define Ten_pmax 24
#define Bletch 2
#define Bndry_mask  0xffff007f
#define Bndry_mask1 0xffff007f
#define LSB 0x10000
#define Sign_bit 0x8000
#define Log2P 1
#define Tiny0 0x80
#define Tiny1 0
#define Quick_max 15
#define Int_max 15
#endif /* IBM, VAX */
#endif /* IEEE_Arith */

#ifndef IEEE_Arith
#define ROUND_BIASED
#else
#ifdef ROUND_BIASED_without_Round_Up
#undef  ROUND_BIASED
#define ROUND_BIASED
#endif
#endif

#ifdef RND_PRODQUOT
#define rounded_product(a,b) a = rnd_prod(a, b)
#define rounded_quotient(a,b) a = rnd_quot(a, b)
extern double rnd_prod(double, double), rnd_quot(double, double);
#else
#define rounded_product(a,b) a *= b
#define rounded_quotient(a,b) a /= b
#endif

#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
#define Big1 0xffffffff

#ifndef Pack_32
#define Pack_32
#endif

typedef struct BCinfo BCinfo;
 struct
BCinfo { int dp0, dp1, dplen, dsign, e0, inexact, nd, nd0, rounding, scale, uflchk; };

#define FFFFFFFF 0xffffffffUL

#ifdef MULTIPLE_THREADS
#define MTa , PTI
#define MTb , &TI
#define MTd , ThInfo **PTI
static unsigned int maxthreads = 0;
#else
#define MTa /*nothing*/
#define MTb /*nothing*/
#define MTd /*nothing*/
#endif

#define Kmax 7

#ifdef __cplusplus
//extern "C" double strtod(const char *s00, char **se);
//extern "C" char *dtoa(double d, int mode, int ndigits,
//			int *decpt, int *sign, char **rve);
#endif

 struct
Bigint {
	struct Bigint *next;
	int k, maxwds, sign, wds;
	ULong x[1];
	};

 typedef struct Bigint Bigint;
 typedef struct
ThInfo {
	Bigint *Freelist[Kmax+1];
	Bigint *P5s;
	} ThInfo;

 static ThInfo TI0;

#ifdef MULTIPLE_THREADS
 static ThInfo *TI1;
 static int TI0_used;

 void
set_max_dtoa_threads(unsigned int n)
{
	size_t L;

	if (n > maxthreads) {
		L = n*sizeof(ThInfo);
		if (TI1) {
			TI1 = (ThInfo*)REALLOC(TI1, L);
			memset(TI1 + maxthreads, 0, (n-maxthreads)*sizeof(ThInfo));
			}
		else {
			TI1 = (ThInfo*)MALLOC(L);
			if (TI0_used) {
				memcpy(TI1, &TI0, sizeof(ThInfo));
				if (n > 1)
					memset(TI1 + 1, 0, L - sizeof(ThInfo));
				memset(&TI0, 0, sizeof(ThInfo));
				}
			else
				memset(TI1, 0, L);
			}
		maxthreads = n;
		}
	}

 static ThInfo*
get_TI(void)
{
	unsigned int thno = dtoa_get_threadno();
	if (thno < maxthreads)
		return TI1 + thno;
	if (thno == 0)
		TI0_used = 1;
	return &TI0;
	}
#define freelist TI->Freelist
#define p5s TI->P5s
#else
#define freelist TI0.Freelist
#define p5s TI0.P5s
#endif

 static Bigint *
Balloc(int k MTd)
{
	int x;
	Bigint *rv;
#ifndef Omit_Private_Memory
	unsigned int len;
#endif
#ifdef MULTIPLE_THREADS
	ThInfo *TI;

	if (!(TI = *PTI))
		*PTI = TI = get_TI();
	if (TI == &TI0)
		ACQUIRE_DTOA_LOCK(0);
#endif
	/* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
	/* but this case seems very unlikely. */
	if (k <= Kmax && (rv = freelist[k]))
		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 && (unsigned long)(pmem_next - private_mem) + len <= PRIVATE_mem
#ifdef MULTIPLE_THREADS
			&& TI == TI1
#endif
			) {
			rv = (Bigint*)pmem_next;
			pmem_next += len;
			}
		else
			rv = (Bigint*)MALLOC(len*sizeof(double));
#endif
		rv->k = k;
		rv->maxwds = x;
		}
#ifdef MULTIPLE_THREADS
	if (TI == &TI0)
		FREE_DTOA_LOCK(0);
#endif
	rv->sign = rv->wds = 0;
	return rv;
	}

 static void
Bfree(Bigint *v MTd)
{
#ifdef MULTIPLE_THREADS
	ThInfo *TI;
#endif
	if (v) {
		if (v->k > Kmax)
			FREE((void*)v);
		else {
#ifdef MULTIPLE_THREADS
			if (!(TI = *PTI))
				*PTI = TI = get_TI();
			if (TI == &TI0)
				ACQUIRE_DTOA_LOCK(0);
#endif
			v->next = freelist[v->k];
			freelist[v->k] = v;
#ifdef MULTIPLE_THREADS
			if (TI == &TI0)
				FREE_DTOA_LOCK(0);
#endif
			}
		}
	}

#define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \
y->wds*sizeof(Long) + 2*sizeof(int))

 static Bigint *
multadd(Bigint *b, int m, int a MTd)	/* multiply by m and add a */
{
	int i, wds;
#ifdef ULLong
	ULong *x;
	ULLong carry, y;
#else
	ULong carry, *x, y;
#ifdef Pack_32
	ULong xi, z;
#endif
#endif
	Bigint *b1;

	wds = b->wds;
	x = b->x;
	i = 0;
	carry = a;
	do {
#ifdef ULLong
		y = *x * (ULLong)m + carry;
		carry = y >> 32;
		*x++ = y & FFFFFFFF;
#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 MTa);
			Bcopy(b1, b);
			Bfree(b MTa);
			b = b1;
			}
		b->x[wds++] = carry;
		b->wds = wds;
		}
	return b;
	}

 static Bigint *
s2b(const char *s, int nd0, int nd, ULong y9, int dplen MTd)
{
	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 MTa);
	b->x[0] = y9;
	b->wds = 1;
#else
	b = Balloc(k+1 MTa);
	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' MTa);
			while(++i < nd0);
		s += dplen;
		}
	else
		s += dplen + 9;
	for(; i < nd; i++)
		b = multadd(b, 10, *s++ - '0' MTa);
	return b;
	}

 static int
hi0bits(ULong x)
{
	int k = 0;

	if (!(x & 0xffff0000)) {
		k = 16;
		x <<= 16;
		}
	if (!(x & 0xff000000)) {
		k += 8;
		x <<= 8;
		}
	if (!(x & 0xf0000000)) {
		k += 4;
		x <<= 4;
		}
	if (!(x & 0xc0000000)) {
		k += 2;
		x <<= 2;
		}
	if (!(x & 0x80000000)) {
		k++;
		if (!(x & 0x40000000))
			return 32;
		}
	return k;
	}

 static int
lo0bits(ULong *y)
{
	int k;
	ULong x = *y;

	if (x & 7) {
		if (x & 1)
			return 0;
		if (x & 2) {
			*y = x >> 1;
			return 1;
			}
		*y = x >> 2;
		return 2;
		}
	k = 0;
	if (!(x & 0xffff)) {
		k = 16;
		x >>= 16;
		}
	if (!(x & 0xff)) {
		k += 8;
		x >>= 8;
		}
	if (!(x & 0xf)) {
		k += 4;
		x >>= 4;
		}
	if (!(x & 0x3)) {
		k += 2;
		x >>= 2;
		}
	if (!(x & 1)) {
		k++;
		x >>= 1;
		if (!x)
			return 32;
		}
	*y = x;
	return k;
	}

 static Bigint *
i2b(int i MTd)
{
	Bigint *b;

	b = Balloc(1 MTa);
	b->x[0] = i;
	b->wds = 1;
	return b;
	}

 static Bigint *
mult(Bigint *a, Bigint *b MTd)
{
	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 MTa);
	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++)) {
			x = xa;
			xc = xc0;
			carry = 0;
			do {
				z = *x++ * (ULLong)y + *xc + carry;
				carry = z >> 32;
				*xc++ = z & FFFFFFFF;
				}
				while(x < xae);
			*xc = carry;
			}
		}
#else
#ifdef Pack_32
	for(; xb < xbe; xb++, xc0++) {
		if (y = *xb & 0xffff) {
			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) {
			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++) {
			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 *
pow5mult(Bigint *b, int k MTd)
{
	Bigint *b1, *p5, *p51;
#ifdef MULTIPLE_THREADS
	ThInfo *TI;
#endif
	int i;
	static int p05[3] = { 5, 25, 125 };

	if ((i = k & 3))
		b = multadd(b, p05[i-1], 0 MTa);

	if (!(k >>= 2))
		return b;
#ifdef  MULTIPLE_THREADS
	if (!(TI = *PTI))
		*PTI = TI = get_TI();
#endif
	if (!(p5 = p5s)) {
		/* first time */
#ifdef MULTIPLE_THREADS
		if (!(TI = *PTI))
			*PTI = TI = get_TI();
		if (TI == &TI0)
			ACQUIRE_DTOA_LOCK(1);
		if (!(p5 = p5s)) {
			p5 = p5s = i2b(625 MTa);
			p5->next = 0;
			}
		if (TI == &TI0)
			FREE_DTOA_LOCK(1);
#else
		p5 = p5s = i2b(625 MTa);
		p5->next = 0;
#endif
		}
	for(;;) {
		if (k & 1) {
			b1 = mult(b, p5 MTa);
			Bfree(b MTa);
			b = b1;
			}
		if (!(k >>= 1))
			break;
		if (!(p51 = p5->next)) {
#ifdef MULTIPLE_THREADS
			if (!TI && !(TI = *PTI))
				*PTI = TI = get_TI();
			if (TI == &TI0)
				ACQUIRE_DTOA_LOCK(1);
			if (!(p51 = p5->next)) {
				p51 = p5->next = mult(p5,p5 MTa);
				p51->next = 0;
				}
			if (TI == &TI0)
				FREE_DTOA_LOCK(1);
#else
			p51 = p5->next = mult(p5,p5);
			p51->next = 0;
#endif
			}
		p5 = p51;
		}
	return b;
	}

 static Bigint *
lshift(Bigint *b, int k MTd)
{
	int i, k1, n, n1;
	Bigint *b1;
	ULong *x, *x1, *xe, z;

#ifdef Pack_32
	n = k >> 5;
#else
	n = k >> 4;
#endif
	k1 = b->k;
	n1 = n + b->wds + 1;
	for(i = b->maxwds; n1 > i; i <<= 1)
		k1++;
	b1 = Balloc(k1 MTa);
	x1 = b1->x;
	for(i = 0; i < n; i++)
		*x1++ = 0;
	x = b->x;
	xe = x + b->wds;
#ifdef Pack_32
	if (k &= 0x1f) {
		k1 = 32 - k;
		z = 0;
		do {
			*x1++ = *x << k | z;
			z = *x++ >> k1;
			}
			while(x < xe);
		if ((*x1 = z))
			++n1;
		}
#else
	if (k &= 0xf) {
		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 MTa);
	return b1;
	}

 static int
cmp(Bigint *a, Bigint *b)
{
	ULong *xa, *xa0, *xb, *xb0;
	int i, j;

	i = a->wds;
	j = b->wds;
#ifdef DEBUG
	if (i > 1 && !a->x[i-1])
		Bug("cmp called with a->x[a->wds-1] == 0");
	if (j > 1 && !b->x[j-1])
		Bug("cmp called with b->x[b->wds-1] == 0");
#endif
	if (i -= j)
		return i;
	xa0 = a->x;
	xa = xa0 + j;
	xb0 = b->x;
	xb = xb0 + j;
	for(;;) {
		if (*--xa != *--xb)
			return *xa < *xb ? -1 : 1;
		if (xa <= xa0)
			break;
		}
	return 0;
	}

 static Bigint *
diff(Bigint *a, Bigint *b MTd)
{
	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 MTa);
		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 MTa);
	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 & (ULong)1;
		*xc++ = y & FFFFFFFF;
		}
		while(xb < xbe);
	while(xa < xae) {
		y = *xa++ - borrow;
		borrow = y >> 32 & (ULong)1;
		*xc++ = y & FFFFFFFF;
		}
#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;
	}

 static double
ulp(U *x)
{
	Long L;
	U u;

	L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
	if (L > 0) {
#endif
#endif
#ifdef IBM
		L |= Exp_msk1 >> 4;
#endif
		word0(&u) = L;
		word1(&u) = 0;
#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
		}
	else {
		L = -L >> Exp_shift;
		if (L < Exp_shift) {
			word0(&u) = 0x80000 >> L;
			word1(&u) = 0;
			}
		else {
			word0(&u) = 0;
			L -= Exp_shift;
			word1(&u) = L >= 31 ? 1 : 1 << 31 - L;
			}
		}
#endif
#endif
	return dval(&u);
	}

 static double
b2d(Bigint *a, int *e)
{
	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;
#else
#undef d0
#undef d1
#endif
	return dval(&d);
	}

 static Bigint *
d2b(U *d, int *e, int *bits MTd)
{
	Bigint *b;
	int de, k;
	ULong *x, y, z;
#ifndef Sudden_Underflow
	int i;
#endif
#ifdef VAX
	ULong d0, d1;
	d0 = word0(d) >> 16 | word0(d) << 16;
	d1 = word1(d) >> 16 | word1(d) << 16;
#else
#define d0 word0(d)
#define d1 word1(d)
#endif

#ifdef Pack_32
	b = Balloc(1 MTa);
#else
	b = Balloc(2 MTa);
#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)))
		z |= Exp_msk1;
#endif
#ifdef Pack_32
	if ((y = d1)) {
		if ((k = lo0bits(&y))) {
			x[0] = y | z << (32 - k);
			z >>= k;
			}
		else
			x[0] = y;
#ifndef Sudden_Underflow
		i =
#endif
		    b->wds = (x[1] = z) ? 2 : 1;
		}
	else {
		k = lo0bits(&z);
		x[0] = z;
#ifndef Sudden_Underflow
		i =
#endif
		    b->wds = 1;
		k += 32;
		}
#else
	if (y = d1) {
		if (k = lo0bits(&y))
			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

 static double
ratio(Bigint *a, Bigint *b)
{
	U da, db;
	int k, ka, kb;

	dval(&da) = b2d(a, &ka);
	dval(&db) = b2d(b, &kb);
#ifdef Pack_32
	k = ka - kb + 32*(a->wds - b->wds);
#else
	k = ka - kb + 16*(a->wds - b->wds);
#endif
#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);
	}

 static 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
		};

 static const double
#ifdef IEEE_Arith
bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
static const double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
#ifdef Avoid_Underflow
		9007199254740992.*9007199254740992.e-256
		/* = 2^106 * 1e-256 */
#else
		1e-256
#endif
		};
/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
/* flag unnecessarily.  It leads to a song and dance at the end of strtod. */
#define Scale_Bit 0x10
#define n_bigtens 5
#else
#ifdef IBM
bigtens[] = { 1e16, 1e32, 1e64 };
static const double tinytens[] = { 1e-16, 1e-32, 1e-64 };
#define n_bigtens 3
#else
bigtens[] = { 1e16, 1e32 };
static const double tinytens[] = { 1e-16, 1e-32 };
#define n_bigtens 2
#endif
#endif

#undef Need_Hexdig
#ifdef INFNAN_CHECK
#ifndef No_Hex_NaN
#define Need_Hexdig
#endif
#endif

#ifndef Need_Hexdig
#ifndef NO_HEX_FP
#define Need_Hexdig
#endif
#endif

#ifdef Need_Hexdig /*{*/
#if 0
static unsigned char hexdig[256];

 static void
htinit(unsigned char *h, unsigned char *s, int inc)
{
	int i, j;
	for(i = 0; (j = s[i]) !=0; i++)
		h[j] = i + inc;
	}

 static void
hexdig_init(void)	/* Use of hexdig_init omitted 20121220 to avoid a */
			/* race condition when multiple threads are used. */
{
#define USC (unsigned char *)
	htinit(hexdig, USC "0123456789", 0x10);
	htinit(hexdig, USC "abcdef", 0x10 + 10);
	htinit(hexdig, USC "ABCDEF", 0x10 + 10);
	}
#else
static unsigned char hexdig[256] = {
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	16,17,18,19,20,21,22,23,24,25,0,0,0,0,0,0,
	0,26,27,28,29,30,31,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,26,27,28,29,30,31,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
	0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
	};
#endif
#endif /* } Need_Hexdig */

#ifdef INFNAN_CHECK

#ifndef NAN_WORD0
#define NAN_WORD0 0x7ff80000
#endif

#ifndef NAN_WORD1
#define NAN_WORD1 0
#endif

 static int
match(const char **sp, const char *t)
{
	int c, d;
	const char *s = *sp;

	while((d = *t++)) {
		if ((c = *++s) >= 'A' && c <= 'Z')
			c += 'a' - 'A';
		if (c != d)
			return 0;
		}
	*sp = s + 1;
	return 1;
	}

#ifndef No_Hex_NaN
 static void
hexnan(U *rvp, const char **sp)
{
	ULong c, x[2];
	const char *s;
	int c1, havedig, udx0, xshift;

	/**** if (!hexdig['0']) hexdig_init(); ****/
	x[0] = x[1] = 0;
	havedig = xshift = 0;
	udx0 = 1;
	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'))
		s += 2;
	while((c = *(const unsigned char*)++s)) {
		if ((c1 = hexdig[c]))
			c  = c1 & 0xf;
		else if (c <= ' ') {
			if (udx0 && havedig) {
				udx0 = 0;
				xshift = 1;
				}
			continue;
			}
#ifdef GDTOA_NON_PEDANTIC_NANCHECK
		else if (/*(*/ c == ')' && havedig) {
			*sp = s + 1;
			break;
			}
		else
			return;	/* invalid form: don't change *sp */
#else
		else {
			do {
				if (/*(*/ c == ')') {
					*sp = s + 1;
					break;
					}
				} while((c = *++s));
			break;
			}
#endif
		havedig = 1;
		if (xshift) {
			xshift = 0;
			x[0] = x[1];
			x[1] = 0;
			}
		if (udx0)
			x[0] = (x[0] << 4) | (x[1] >> 28);
		x[1] = (x[1] << 4) | c;
		}
	if ((x[0] &= 0xfffff) || x[1]) {
		word0(rvp) = Exp_mask | x[0];
		word1(rvp) = x[1];
		}
	}
#endif /*No_Hex_NaN*/
#endif /* INFNAN_CHECK */

#ifdef Pack_32
#define ULbits 32
#define kshift 5
#define kmask 31
#else
#define ULbits 16
#define kshift 4
#define kmask 15
#endif

#if !defined(NO_HEX_FP) || defined(Honor_FLT_ROUNDS) /*{*/
 static Bigint *
increment(Bigint *b MTd)
{
	ULong *x, *xe;
	Bigint *b1;

	x = b->x;
	xe = x + b->wds;
	do {
		if (*x < (ULong)0xffffffffL) {
			++*x;
			return b;
			}
		*x++ = 0;
		} while(x < xe);
	{
		if (b->wds >= b->maxwds) {
			b1 = Balloc(b->k+1 MTa);
			Bcopy(b1,b);
			Bfree(b MTa);
			b = b1;
			}
		b->x[b->wds++] = 1;
		}
	return b;
	}

#endif /*}*/

#ifndef NO_HEX_FP /*{*/

 static void
rshift(Bigint *b, int k)
{
	ULong *x, *x1, *xe, y;
	int n;

	x = x1 = b->x;
	n = k >> kshift;
	if (n < b->wds) {
		xe = x + b->wds;
		x += n;
		if (k &= kmask) {
			n = 32 - k;
			y = *x++ >> k;
			while(x < xe) {
				*x1++ = (y | (*x << n)) & 0xffffffff;
				y = *x++ >> k;
				}
			if ((*x1 = y) !=0)
				x1++;
			}
		else
			while(x < xe)
				*x1++ = *x++;
		}
	if ((b->wds = x1 - b->x) == 0)
		b->x[0] = 0;
	}

 static ULong
any_on(Bigint *b, int k)
{
	int n, nwds;
	ULong *x, *x0, x1, x2;

	x = b->x;
	nwds = b->wds;
	n = k >> kshift;
	if (n > nwds)
		n = nwds;
	else if (n < nwds && (k &= kmask)) {
		x1 = x2 = x[n];
		x1 >>= k;
		x1 <<= k;
		if (x1 != x2)
			return 1;
		}
	x0 = x;
	x += n;
	while(x > x0)
		if (*--x)
			return 1;
	return 0;
	}

enum {	/* rounding values: same as FLT_ROUNDS */
	Round_zero = 0,
	Round_near = 1,
	Round_up = 2,
	Round_down = 3
	};

 void
gethex( const char **sp, U *rvp, int rounding, int sign MTd)
{
	Bigint *b;
	const unsigned char *decpt, *s0, *s, *s1;
	Long e, e1;
	ULong L, lostbits, *x;
	int big, denorm, esign, havedig, k, n, nbits, up, zret;
#ifdef IBM
	int j;
#endif
	enum {
#ifdef IEEE_Arith /*{{*/
		emax = 0x7fe - Bias - P + 1,
		emin = Emin - P + 1
#else /*}{*/
		emin = Emin - P,
#ifdef VAX
		emax = 0x7ff - Bias - P + 1
#endif
#ifdef IBM
		emax = 0x7f - Bias - P
#endif
#endif /*}}*/
		};
#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 = (unsigned char*)
				MALLOC(strlen((const char*)s0) + 1))) {
			strcpy((char*)decimalpoint_cache, (const char*)s0);
			s0 = decimalpoint_cache;
			}
		}
	decimalpoint = s0;
#endif
#endif

	/**** if (!hexdig['0']) hexdig_init(); ****/
	havedig = 0;
	s0 = *(const unsigned char **)sp + 2;
	while(s0[havedig] == '0')
		havedig++;
	s0 += havedig;
	s = s0;
	decpt = 0;
	zret = 0;
	e = 0;
	if (hexdig[*s])
		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 */
                        Standard_FALLTHROUGH
		  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)
		goto retz1;
	if (big) {
		if (esign) {
#ifdef IEEE_Arith
			switch(rounding) {
			  case Round_up:
				if (sign)
					break;
				goto ret_tiny;
			  case Round_down:
				if (!sign)
					break;
				goto ret_tiny;
			  }
#endif
			goto retz;
#ifdef IEEE_Arith
 ret_tinyf:
			Bfree(b MTa);
 ret_tiny:
			Set_errno(ERANGE);
			word0(rvp) = 0;
			word1(rvp) = 1;
			return;
#endif /* IEEE_Arith */
			}
		switch(rounding) {
		  case Round_near:
			goto ovfl1;
		  case Round_up:
			if (!sign)
				goto ovfl1;
			goto ret_big;
		  case Round_down:
			if (sign)
				goto ovfl1;
			goto ret_big;
		  }
 ret_big:
		word0(rvp) = Big0;
		word1(rvp) = Big1;
		return;
		}
	n = s1 - s0 - 1;
	for(k = 0; n > (1 << (kshift-2)) - 1; n >>= 1)
		k++;
	b = Balloc(k MTa);
	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 = 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 MTa);
		e -= n;
		x = b->x;
		}
	if (e > emax) {
 ovfl:
		Bfree(b MTa);
 ovfl1:
		Set_errno(ERANGE);
#ifdef Honor_FLT_ROUNDS
		switch (rounding) {
		  case Round_zero:
			goto ret_big;
		  case Round_down:
			if (!sign)
				goto ret_big;
			break;
		  case Round_up:
			if (sign)
				goto ret_big;
		  }
#endif
		word0(rvp) = Exp_mask;
		word1(rvp) = 0;
		return;
		}
	denorm = 0;
	if (e < emin) {
		denorm = 1;
		n = emin - e;
		if (n >= nbits) {
#ifdef IEEE_Arith /*{*/
			switch (rounding) {
			  case Round_near:
				if (n == nbits && (n < 2 || lostbits || any_on(b,n-1)))
					goto ret_tinyf;
				break;
			  case Round_up:
				if (!sign)
					goto ret_tinyf;
				break;
			  case Round_down:
				if (sign)
					goto ret_tinyf;
			  }
#endif /* } IEEE_Arith */
			Bfree(b MTa);
 retz:
			Set_errno(ERANGE);
 retz1:
			rvp->d = 0.;
			return;
			}
		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 = emin;
		}
	if (lostbits) {
		up = 0;
		switch(rounding) {
		  case Round_zero:
			break;
		  case Round_near:
			if (lostbits & 2
			 && (lostbits & 1) | (x[0] & 1))
				up = 1;
			break;
		  case Round_up:
			up = 1 - sign;
			break;
		  case Round_down:
			up = sign;
		  }
		if (up) {
			k = b->wds;
			b = increment(b MTa);
			x = b->x;
			if (denorm) {
#if 0
				if (nbits == Nbits - 1
				 && x[nbits >> kshift] & 1 << (nbits & kmask))
					denorm = 0; /* not currently used */
#endif
				}
			else if (b->wds > k
			 || ((n = nbits & kmask) !=0
			     && hi0bits(x[k-1]) < 32-n)) {
				rshift(b,1);
				if (++e > Emax)
					goto ovfl;
				}
			}
		}
#ifdef IEEE_Arith
	if (denorm)
		word0(rvp) = b->wds > 1 ? b->x[1] & ~0x100000 : 0;
	else
		word0(rvp) = (b->x[1] & ~0x100000) | ((e + 0x3ff + 52) << 20);
	word1(rvp) = b->x[0];
#endif
#ifdef IBM
	if ((j = e & 3)) {
		k = b->x[0] & ((1 << j) - 1);
		rshift(b,j);
		if (k) {
			switch(rounding) {
			  case Round_up:
				if (!sign)
					increment(b);
				break;
			  case Round_down:
				if (sign)
					increment(b);
				break;
			  case Round_near:
				j = 1 << (j-1);
				if (k & j && ((k & (j-1)) | lostbits))
					increment(b);
			  }
			}
		}
	e >>= 2;
	word0(rvp) = b->x[1] | ((e + 65 + 13) << 24);
	word1(rvp) = b->x[0];
#endif
#ifdef VAX
	/* The next two lines ignore swap of low- and high-order 2 bytes. */
	/* word0(rvp) = (b->x[1] & ~0x800000) | ((e + 129 + 55) << 23); */
	/* word1(rvp) = b->x[0]; */
	word0(rvp) = ((b->x[1] & ~0x800000) >> 16) | ((e + 129 + 55) << 7) | (b->x[1] << 16);
	word1(rvp) = (b->x[0] >> 16) | (b->x[0] << 16);
#endif
	Bfree(b MTa);
	}
#endif /*!NO_HEX_FP}*/

 static int
dshift(Bigint *b, int p2)
{
	int rv = hi0bits(b->x[b->wds-1]) - 4;
	if (p2 > 0)
		rv -= p2;
	return rv & kmask;
	}

 static int
quorem(Bigint *b, Bigint *S)
{
	int n;
	ULong *bx, *bxe, q, *sx, *sxe;
#ifdef ULLong
	ULLong borrow, carry, y, ys;
#else
	ULong borrow, carry, y, ys;
#ifdef Pack_32
	ULong si, z, zs;
#endif
#endif

	n = S->wds;
#ifdef DEBUG
	/*debug*/ if (b->wds > n)
	/*debug*/	Bug("oversize b in quorem");
#endif
	if (b->wds < n)
		return 0;
	sx = S->x;
	sxe = sx + --n;
	bx = b->x;
	bxe = bx + n;
	q = *bxe / (*sxe + 1);	/* ensure q <= true quotient */
#ifdef DEBUG
#ifdef NO_STRTOD_BIGCOMP
	/*debug*/ if (q > 9)
#else
	/* An oversized q is possible when quorem is called from bigcomp and */
	/* the input is near, e.g., twice the smallest denormalized number. */
	/*debug*/ if (q > 15)
#endif
	/*debug*/	Bug("oversized quotient in quorem");
#endif
	if (q) {
		borrow = 0;
		carry = 0;
		do {
#ifdef ULLong
			ys = *sx++ * (ULLong)q + carry;
			carry = ys >> 32;
			y = *bx - (ys & FFFFFFFF) - borrow;
			borrow = y >> 32 & (ULong)1;
			*bx++ = y & FFFFFFFF;
#else
#ifdef Pack_32
			si = *sx++;
			ys = (si & 0xffff) * q + carry;
			zs = (si >> 16) * q + (ys >> 16);
			carry = zs >> 16;
			y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
			borrow = (y & 0x10000) >> 16;
			z = (*bx >> 16) - (zs & 0xffff) - borrow;
			borrow = (z & 0x10000) >> 16;
			Storeinc(bx, z, y);
#else
			ys = *sx++ * q + carry;
			carry = ys >> 16;
			y = *bx - (ys & 0xffff) - borrow;
			borrow = (y & 0x10000) >> 16;
			*bx++ = y & 0xffff;
#endif
#endif
			}
			while(sx <= sxe);
		if (!*bxe) {
			bx = b->x;
			while(--bxe > bx && !*bxe)
				--n;
			b->wds = n;
			}
		}
	if (cmp(b, S) >= 0) {
		q++;
		borrow = 0;
		carry = 0;
		bx = b->x;
		sx = S->x;
		do {
#ifdef ULLong
			ys = *sx++ + carry;
			carry = ys >> 32;
			y = *bx - (ys & FFFFFFFF) - borrow;
			borrow = y >> 32 & (ULong)1;
			*bx++ = y & FFFFFFFF;
#else
#ifdef Pack_32
			si = *sx++;
			ys = (si & 0xffff) + carry;
			zs = (si >> 16) + (ys >> 16);
			carry = zs >> 16;
			y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
			borrow = (y & 0x10000) >> 16;
			z = (*bx >> 16) - (zs & 0xffff) - borrow;
			borrow = (z & 0x10000) >> 16;
			Storeinc(bx, z, y);
#else
			ys = *sx++ + carry;
			carry = ys >> 16;
			y = *bx - (ys & 0xffff) - borrow;
			borrow = (y & 0x10000) >> 16;
			*bx++ = y & 0xffff;
#endif
#endif
			}
			while(sx <= sxe);
		bx = b->x;
		bxe = bx + n;
		if (!*bxe) {
			while(--bxe > bx && !*bxe)
				--n;
			b->wds = n;
			}
		}
	return q;
	}

#if defined(Avoid_Underflow) || !defined(NO_STRTOD_BIGCOMP) /*{*/
 static double
sulp(U *x, BCinfo *bc)
{
	U u;
	double rv;
	int i;

	rv = ulp(x);
	if (!bc->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 /*}*/

#ifndef NO_STRTOD_BIGCOMP
 static void
bigcomp(U *rv, const char *s0, BCinfo *bc MTd)
{
	Bigint *b, *d;
	int b2, bbits, d2, dd=0, dig, dsign, i, j, nd, nd0, p2, p5, speccase;

	dsign = bc->dsign;
	nd = bc->nd;
	nd0 = bc->nd0;
	p5 = nd + bc->e0 - 1;
	speccase = 0;
#ifndef Sudden_Underflow
	if (rv->d == 0.) {	/* special case: value near underflow-to-zero */
				/* threshold was rounded to zero */
		b = i2b(1 MTa);
		p2 = Emin - P + 1;
		bbits = 1;
#ifdef Avoid_Underflow
		word0(rv) = (P+2) << Exp_shift;
#else
		word1(rv) = 1;
#endif
		i = 0;
#ifdef Honor_FLT_ROUNDS
		if (bc->rounding == 1)
#endif
			{
			speccase = 1;
			--p2;
			dsign = 0;
			goto have_i;
			}
		}
	else
#endif
		b = d2b(rv, &p2, &bbits MTa);
#ifdef Avoid_Underflow
	p2 -= bc->scale;
#endif
	/* floor(log2(rv)) == bbits - 1 + p2 */
	/* Check for denormal case. */
	i = P - bbits;
	if (i > (j = P - Emin - 1 + p2)) {
#ifdef Sudden_Underflow
		Bfree(b MTa);
		b = i2b(1);
		p2 = Emin;
		i = P - 1;
#ifdef Avoid_Underflow
		word0(rv) = (1 + bc->scale) << Exp_shift;
#else
		word0(rv) = Exp_msk1;
#endif
		word1(rv) = 0;
#else
		i = j;
#endif
		}
#ifdef Honor_FLT_ROUNDS
	if (bc->rounding != 1) {
		if (i > 0)
			b = lshift(b, i MTa);
		if (dsign)
			b = increment(b MTa);
		}
	else
#endif
		{
		b = lshift(b, ++i MTa);
		b->x[0] |= 1;
		}
#ifndef Sudden_Underflow
 have_i:
#endif
	p2 -= p5 + i;
	d = i2b(1 MTa);
	/* Arrange for convenient computation of quotients:
	 * shift left if necessary so divisor has 4 leading 0 bits.
	 */
	if (p5 > 0)
		d = pow5mult(d, p5 MTa);
	else if (p5 < 0)
		b = pow5mult(b, -p5 MTa);
	if (p2 > 0) {
		b2 = p2;
		d2 = 0;
		}
	else {
		b2 = 0;
		d2 = -p2;
		}
	i = dshift(d, d2);
	if ((b2 += i) > 0)
		b = lshift(b, b2 MTa);
	if ((d2 += i) > 0)
		d = lshift(d, d2 MTa);

	/* Now b/d = exactly half-way between the two floating-point values */
	/* on either side of the input string.  Compute first digit of b/d. */

	if (!(dig = quorem(b,d))) {
		b = multadd(b, 10, 0 MTa);	/* very unlikely */
		dig = quorem(b,d);
		}

	/* Compare b/d with s0 */

	for(i = 0; i < nd0; ) {
		if ((dd = s0[i++] - '0' - dig))
			goto ret;
		if (!b->x[0] && b->wds == 1) {
			if (i < nd)
				dd = 1;
			goto ret;
			}
		b = multadd(b, 10, 0 MTa);
		dig = quorem(b,d);
		}
	for(j = bc->dp1; i++ < nd;) {
		if ((dd = s0[j++] - '0' - dig))
			goto ret;
		if (!b->x[0] && b->wds == 1) {
			if (i < nd)
				dd = 1;
			goto ret;
			}
		b = multadd(b, 10, 0 MTa);
		dig = quorem(b,d);
		}
	if (dig > 0 || b->x[0] || b->wds > 1)
		dd = -1;
 ret:
	Bfree(b MTa);
	Bfree(d MTa);
#ifdef Honor_FLT_ROUNDS
	if (bc->rounding != 1) {
		if (dd < 0) {
			if (bc->rounding == 0) {
				if (!dsign)
					goto retlow1;
				}
			else if (dsign)
				goto rethi1;
			}
		else if (dd > 0) {
			if (bc->rounding == 0) {
				if (dsign)
					goto rethi1;
				goto ret1;
				}
			if (!dsign)
				goto rethi1;
			dval(rv) += 2.*sulp(rv,bc);
			}
		else {
			bc->inexact = 0;
			if (dsign)
				goto rethi1;
			}
		}
	else
#endif
	if (speccase) {
		if (dd <= 0)
			rv->d = 0.;
		}
	else if (dd < 0) {
		if (!dsign)	/* does not happen for round-near */
retlow1:
			dval(rv) -= sulp(rv,bc);
		}
	else if (dd > 0) {
		if (dsign) {
 rethi1:
			dval(rv) += sulp(rv,bc);
			}
		}
	else {
		/* Exact half-way case:  apply round-even rule. */
		if ((j = ((word0(rv) & Exp_mask) >> Exp_shift) - bc->scale) <= 0) {
			i = 1 - j;
			if (i <= 31) {
				if (word1(rv) & (0x1 << i))
					goto odd;
				}
			else if (word0(rv) & (0x1 << (i-32)))
				goto odd;
			}
		else if (word1(rv) & 1) {
 odd:
			if (dsign)
				goto rethi1;
			goto retlow1;
			}
		}

#ifdef Honor_FLT_ROUNDS
 ret1:
#endif
	return;
	}
#endif /* NO_STRTOD_BIGCOMP */

 double
Strtod(const char *s00, char **se)
{
	int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, e, e1;
	int esign, i, j, k, nd, nd0, nf, nz, nz0, nz1, sign;
	const char *s, *s0, *s1;
	double aadj, aadj1;
	Long L;
	U aadj2, adj, rv, rv0;
	ULong y, z;
	BCinfo bc;
	Bigint *bb=0, *bb1=0, *bd=0, *bd0=0, *bs=0, *delta=0;
#ifdef USE_BF96
	ULLong bhi, blo, brv, t00, t01, t02, t10, t11, terv, tg, tlo, yz;
	const BF96 *p10;
	int bexact, erv;
#endif
#ifdef Avoid_Underflow
	ULong Lsb, Lsb1;
#endif
#ifdef SET_INEXACT
	int oldinexact;
#endif
#ifndef NO_STRTOD_BIGCOMP
	int req_bigcomp = 0;
#endif
#ifdef MULTIPLE_THREADS
	ThInfo *TI = 0;
#endif
#ifdef Honor_FLT_ROUNDS /*{*/
#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
	bc.rounding = Flt_Rounds;
#else /*}{*/
	bc.rounding = 1;
	switch(fegetround()) {
	  case FE_TOWARDZERO:	bc.rounding = 0; break;
	  case FE_UPWARD:	bc.rounding = 2; break;
	  case FE_DOWNWARD:	bc.rounding = 3;
	  }
#endif /*}}*/
#endif /*}*/
#ifdef USE_LOCALE
	const char *s2;
#endif

	sign = nz0 = nz1 = nz = bc.dplen = bc.uflchk = 0;
	dval(&rv) = 0.;
	for(s = s00;;s++) switch(*s) {
		case '-':
			sign = 1;
			/* no break */
                        Standard_FALLTHROUGH
		case '+':
			if (*++s)
				goto break2;
			/* no break */
                        Standard_FALLTHROUGH
		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 /*{*/
		switch(s[1]) {
		  case 'x':
		  case 'X':
#ifdef Honor_FLT_ROUNDS
			gethex(&s, &rv, bc.rounding, sign MTb);
#else
			gethex(&s, &rv, 1, sign MTb);
#endif
			goto ret;
		  }
#endif /*}*/
		nz0 = 1;
		while(*++s == '0') ;
		if (!*s)
			goto ret;
		}
	s0 = s;
	nd = nf = 0;
#ifdef USE_BF96
	yz = 0;
	for(; (c = *s) >= '0' && c <= '9'; nd++, s++)
		if (nd < 19)
			yz = 10*yz + c - '0';
#else
	y = z = 0;
	for(; (c = *s) >= '0' && c <= '9'; nd++, s++)
		if (nd < 9)
			y = 10*y + c - '0';
		else if (nd < DBL_DIG + 2)
			z = 10*z + c - '0';
#endif
	nd0 = nd;
	bc.dp0 = bc.dp1 = s - s0;
	for(s1 = s; s1 > s0 && *--s1 == '0'; )
		++nz1;
#ifdef USE_LOCALE
	s1 = localeconv()->decimal_point;
	if (c == *s1) {
		c = '.';
		if (*++s1) {
			s2 = s;
			for(;;) {
				if (*++s2 != *s1) {
					c = 0;
					break;
					}
				if (!*++s1) {
					s = s2;
					break;
					}
				}
			}
		}
#endif
	if (c == '.') {
		c = *++s;
		bc.dp1 = s - s0;
		bc.dplen = bc.dp1 - bc.dp0;
		if (!nd) {
			for(; c == '0'; c = *++s)
				nz++;
			if (c > '0' && c <= '9') {
				bc.dp0 = s0 - s;
				bc.dp1 = bc.dp0 + bc.dplen;
				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;
				i = 1;
#ifdef USE_BF96
				for(; i < nz; ++i) {
					if (++nd <= 19)
						yz *= 10;
					}
				if (++nd <= 19)
					yz = 10*yz + c;
#else
				for(; i < nz; ++i) {
					if (nd++ < 9)
						y *= 10;
					else if (nd <= DBL_DIG + 2)
						z *= 10;
					}
				if (nd++ < 9)
					y = 10*y + c;
				else if (nd <= DBL_DIG + 2)
					z = 10*z + c;
#endif
				nz = nz1 = 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;
                                Standard_FALLTHROUGH
			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 (!bc.dplen)
			 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")) {
					word0(&rv) = NAN_WORD0;
					word1(&rv) = NAN_WORD1;
#ifndef No_Hex_NaN
					if (*s == '(') /*)*/
						hexnan(&rv, &s);
#endif
					goto ret;
					}
			  }
#endif /*} INFNAN_CHECK */
 ret0:
			s = s00;
			sign = 0;
			}
		goto ret;
		}
	bc.e0 = 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;
#ifndef USE_BF96
	k = nd < DBL_DIG + 2 ? nd : DBL_DIG + 2;
	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;
		}
#endif
	bd0 = 0;
	if (nd <= DBL_DIG
#ifndef RND_PRODQUOT
#ifndef Honor_FLT_ROUNDS
		&& Flt_Rounds == 1
#endif
#endif
			) {
#ifdef USE_BF96
		dval(&rv) = yz;
#endif
		if (!e)
			goto ret;
#ifndef ROUND_BIASED_without_Round_Up
		if (e > 0) {
			if (e <= Ten_pmax) {
#ifdef SET_INEXACT
				bc.inexact = 0;
				oldinexact = 1;
#endif
#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 SET_INEXACT
				bc.inexact = 0;
				oldinexact = 1;
#endif
#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 SET_INEXACT
				bc.inexact = 0;
				oldinexact = 1;
#endif
#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 */
		}
#ifdef USE_BF96
	k = nd < 19 ? nd : 19;
#endif
	e1 += nd - k;	/* scale factor = 10^e1 */

#ifdef IEEE_Arith
#ifdef SET_INEXACT
	bc.inexact = 1;
#ifndef USE_BF96
	if (k <= DBL_DIG)
#endif
		oldinexact = get_inexact();
#endif
#ifdef Honor_FLT_ROUNDS
	if (bc.rounding >= 2) {
		if (sign)
			bc.rounding = bc.rounding == 2 ? 0 : 2;
		else
			if (bc.rounding != 2)
				bc.rounding = 0;
		}
#endif
#endif /*IEEE_Arith*/

#ifdef USE_BF96 /*{*/
	Debug(++dtoa_stats[0]);
	i = e1 + 342;
	if (i < 0)
		goto undfl;
	if (i > 650)
		goto ovfl;
	p10 = &pten[i];
	brv = yz;
	/* shift brv left, with i =  number of bits shifted */
	i = 0;
	if (!(brv & 0xffffffff00000000ull)) {
		i = 32;
		brv <<= 32;
		}
	if (!(brv & 0xffff000000000000ull)) {
		i += 16;
		brv <<= 16;
		}
	if (!(brv & 0xff00000000000000ull)) {
		i += 8;
		brv <<= 8;
		}
	if (!(brv & 0xf000000000000000ull)) {
		i += 4;
		brv <<= 4;
		}
	if (!(brv & 0xc000000000000000ull)) {
		i += 2;
		brv <<= 2;
		}
	if (!(brv & 0x8000000000000000ull)) {
		i += 1;
		brv <<= 1;
		}
	erv = (64 + 0x3fe) + p10->e - i;
	if (erv <= 0 && nd > 19)
		goto many_digits; /* denormal: may need to look at all digits */
	bhi = brv >> 32;
	blo = brv & 0xffffffffull;
	/* Unsigned 32-bit ints lie in [0,2^32-1] and */
	/* unsigned 64-bit ints lie in [0, 2^64-1].  The product of two unsigned */
	/* 32-bit ints is <= 2^64 - 2*2^32-1 + 1 = 2^64 - 1 - 2*(2^32 - 1), so */
	/* we can add two unsigned 32-bit ints to the product of two such ints, */
	/* and 64 bits suffice to contain the result. */
	t01 = bhi * p10->b1;
	t10 = blo * p10->b0 + (t01 & 0xffffffffull);
	t00 = bhi * p10->b0 + (t01 >> 32) + (t10 >> 32);
	if (t00 & 0x8000000000000000ull) {
		if ((t00 & 0x3ff) && (~t00 & 0x3fe)) { /* unambiguous result? */
			if (nd > 19 && ((t00 + (1<<i) + 2) & 0x400) ^ (t00 & 0x400))
				goto many_digits;
			if (erv <= 0)
				goto denormal;
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 0: goto noround;
			  case 2: goto roundup;
			  }
#endif
			if (t00 & 0x400 && t00 & 0xbff)
				goto roundup;
			goto noround;
			}
		}
	else {
		if ((t00 & 0x1ff) && (~t00 & 0x1fe)) { /* unambiguous result? */
			if (nd > 19 && ((t00 + (1<<i) + 2) & 0x200) ^ (t00 & 0x200))
				goto many_digits;
			if (erv <= 1)
				goto denormal1;
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 0: goto noround1;
			  case 2: goto roundup1;
			  }
#endif
			if (t00 & 0x200)
				goto roundup1;
			goto noround1;
			}
		}
	/* 3 multiplies did not suffice; try a 96-bit approximation */
	Debug(++dtoa_stats[1]);
	t02 = bhi * p10->b2;
	t11 = blo * p10->b1 + (t02 & 0xffffffffull);
	bexact = 1;
	if (e1 < 0 || e1 > 41 || (t10 | t11) & 0xffffffffull || nd > 19)
		bexact = 0;
	tlo = (t10 & 0xffffffffull) + (t02 >> 32) + (t11 >> 32);
	if (!bexact && (tlo + 0x10) >> 32 > tlo >> 32)
		goto many_digits;
	t00 += tlo >> 32;
	if (t00 & 0x8000000000000000ull) {
		if (erv <= 0) { /* denormal result */
			if (nd >= 20 || !((tlo & 0xfffffff0) | (t00 & 0x3ff)))
				goto many_digits;
 denormal:
			if (erv <= -52) {
#ifdef Honor_FLT_ROUNDS
				switch(bc.rounding) {
				  case 0: goto undfl;
				  case 2: goto tiniest;
				  }
#endif
				if (erv < -52 || !(t00 & 0x7fffffffffffffffull))
					goto undfl;
				goto tiniest;
				}
			tg = 1ull << (11 - erv);
			t00 &= ~(tg - 1); /* clear low bits */
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 0: goto noround_den;
			  case 2: goto roundup_den;
			  }
#endif
			if (t00 & tg) {
#ifdef Honor_FLT_ROUNDS
 roundup_den:
#endif
				t00 += tg << 1;
				if (!(t00 & 0x8000000000000000ull)) {
					if (++erv > 0)
						goto smallest_normal;
					t00 = 0x8000000000000000ull;
					}
				}
#ifdef Honor_FLT_ROUNDS
 noround_den:
#endif
			LLval(&rv) = t00 >> (12 - erv);
			Set_errno(ERANGE);
			goto ret;
			}
		if (bexact) {
#ifdef SET_INEXACT
			if (!(t00 & 0x7ff) && !(tlo & 0xffffffffull)) {
				bc.inexact = 0;
				goto noround;
				}
#endif
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 2:
				if (t00 & 0x7ff)
					goto roundup;
			  case 0: goto noround;
			  }
#endif
			if (t00 & 0x400 && (tlo & 0xffffffff) | (t00 & 0xbff))
				goto roundup;
			goto noround;
			}
		if ((tlo & 0xfffffff0) | (t00 & 0x3ff)
		 && (nd <= 19 ||  ((t00 + (1ull << i)) & 0xfffffffffffffc00ull)
				== (t00 & 0xfffffffffffffc00ull))) {
			/* Unambiguous result. */
			/* If nd > 19, then incrementing the 19th digit */
			/* does not affect rv. */
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 0: goto noround;
			  case 2: goto roundup;
			  }
#endif
			if (t00 & 0x400) { /* round up */
 roundup:
				t00 += 0x800;
				if (!(t00 & 0x8000000000000000ull)) {
					/* rounded up to a power of 2 */
					if (erv >= 0x7fe)
						goto ovfl;
					terv = erv + 1;
					LLval(&rv) = terv << 52;
					goto ret;
					}
				}
 noround:
			if (erv >= 0x7ff)
				goto ovfl;
			terv = erv;
			LLval(&rv) = (terv << 52) | ((t00 & 0x7ffffffffffff800ull) >> 11);
			goto ret;
			}
		}
	else {
		if (erv <= 1) { /* denormal result */
			if (nd >= 20 || !((tlo & 0xfffffff0) | (t00 & 0x1ff)))
				goto many_digits;
 denormal1:
			if (erv <= -51) {
#ifdef Honor_FLT_ROUNDS
				switch(bc.rounding) {
				  case 0: goto undfl;
				  case 2: goto tiniest;
				  }
#endif
				if (erv < -51 || !(t00 & 0x3fffffffffffffffull))
					goto undfl;
 tiniest:
				LLval(&rv) = 1;
				Set_errno(ERANGE);
				goto ret;
				}
			tg = 1ull << (11 - erv);
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 0: goto noround1_den;
			  case 2: goto roundup1_den;
			  }
#endif
			if (t00 & tg) {
#ifdef Honor_FLT_ROUNDS
 roundup1_den:
#endif
				if (0x8000000000000000ull & (t00 += (tg<<1)) && erv == 1) {

 smallest_normal:
					LLval(&rv) = 0x0010000000000000ull;
					goto ret;
					}
				}
#ifdef Honor_FLT_ROUNDS
 noround1_den:
#endif
			if (erv <= -52)
				goto undfl;
			LLval(&rv) = t00 >> (12 - erv);
			Set_errno(ERANGE);
			goto ret;
			}
		if (bexact) {
#ifdef SET_INEXACT
			if (!(t00 & 0x3ff) && !(tlo & 0xffffffffull)) {
				bc.inexact = 0;
				goto noround1;
				}
#endif
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 2:
				if (t00 & 0x3ff)
					goto roundup1;
			  case 0: goto noround1;
			  }
#endif
			if (t00 & 0x200 && (t00 & 0x5ff || tlo))
				goto roundup1;
			goto noround1;
			}
		if ((tlo & 0xfffffff0) | (t00 & 0x1ff)
		 && (nd <= 19 ||  ((t00 + (1ull << i)) & 0x7ffffffffffffe00ull)
				== (t00 & 0x7ffffffffffffe00ull))) {
			/* Unambiguous result. */
#ifdef Honor_FLT_ROUNDS
			switch(bc.rounding) {
			  case 0: goto noround1;
			  case 2: goto roundup1;
			  }
#endif
			if (t00 & 0x200) { /* round up */
 roundup1:
				t00 += 0x400;
				if (!(t00 & 0x4000000000000000ull)) {
					/* rounded up to a power of 2 */
					if (erv >= 0x7ff)
						goto ovfl;
					terv = erv;
					LLval(&rv) = terv << 52;
					goto ret;
					}
				}
 noround1:
			if (erv >= 0x800)
				goto ovfl;
			terv = erv - 1;
			LLval(&rv) = (terv << 52) | ((t00 & 0x3ffffffffffffc00ull) >> 10);
			goto ret;
			}
		}
 many_digits:
	Debug(++dtoa_stats[2]);
	if (nd > 17) {
		if (nd > 18) {
			yz /= 100;
			e1 += 2;
			}
		else {
			yz /= 10;
			e1 += 1;
			}
		y = yz / 100000000;
		}
	else if (nd > 9) {
		i = nd - 9;
		y = (yz >> i) / pfive[i-1];
		}
	else
		y = yz;
	dval(&rv) = yz;
#endif /*}*/

#ifdef IEEE_Arith
#ifdef Avoid_Underflow
	bc.scale = 0;
#endif
#endif /*IEEE_Arith*/

	/* Get starting approximation = rv * 10**e1 */

	if (e1 > 0) {
		if ((i = e1 & 15))
			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(bc.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 MTb);
					Bfree(bd MTb);
					Bfree(bs MTb);
					Bfree(bd0 MTb);
					Bfree(delta MTb);
					}
				Set_errno(ERANGE);
				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))
			dval(&rv) /= tens[i];
		if (e1 >>= 4) {
			if (e1 >= 1 << n_bigtens)
				goto undfl;
#ifdef Avoid_Underflow
			if (e1 & Scale_Bit)
				bc.scale = 2*P;
			for(j = 0; e1 > 0; j++, e1 >>= 1)
				if (e1 & 1)
					dval(&rv) *= tinytens[j];
			if (bc.scale && (j = 2*P + 1 - ((word0(&rv) & Exp_mask)
						>> Exp_shift)) > 0) {
				/* scaled rv is denormal; clear j low bits */
				if (j >= 32) {
					if (j > 54)
						goto undfl;
					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.;
#ifdef Honor_FLT_ROUNDS
					if (bc.rounding == 2)
						word1(&rv) = 1;
#endif
					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 */

	bc.nd = nd - nz1;
#ifndef NO_STRTOD_BIGCOMP
	bc.nd0 = nd0;	/* Only needed if nd > strtod_diglim, but done here */
			/* to silence an erroneous warning about bc.nd0 */
			/* possibly not being initialized. */
	if (nd > strtod_diglim) {
		/* ASSERT(strtod_diglim >= 18); 18 == one more than the */
		/* minimum number of decimal digits to distinguish double values */
		/* in IEEE arithmetic. */
		i = j = 18;
		if (i > nd0)
			j += bc.dplen;
		for(;;) {
			if (--j < bc.dp1 && j >= bc.dp0)
				j = bc.dp0 - 1;
			if (s0[j] != '0')
				break;
			--i;
			}
		e += nd - i;
		nd = i;
		if (nd0 > nd)
			nd0 = nd;
		if (nd < 9) { /* must recompute y */
			y = 0;
			for(i = 0; i < nd0; ++i)
				y = 10*y + s0[i] - '0';
			for(j = bc.dp1; i < nd; ++i)
				y = 10*y + s0[j++] - '0';
			}
		}
#endif
	bd0 = s2b(s0, nd0, nd, y, bc.dplen MTb);

	for(;;) {
		bd = Balloc(bd0->k MTb);
		Bcopy(bd, bd0);
		bb = d2b(&rv, &bbe, &bbbits MTb);	/* rv = bb * 2^bbe */
		bs = i2b(1 MTb);

		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 (bc.rounding != 1)
			bs2++;
#endif
#ifdef Avoid_Underflow
		Lsb = LSB;
		Lsb1 = 0;
		j = bbe - bc.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 if (i < 52)
				Lsb1 = Lsb << (i-32);
			else
				Lsb1 = Exp_mask;
			}
#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 += bc.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 MTb);
			bb1 = mult(bs, bb MTb);
			Bfree(bb MTb);
			bb = bb1;
			}
		if (bb2 > 0)
			bb = lshift(bb, bb2 MTb);
		if (bd5 > 0)
			bd = pow5mult(bd, bd5 MTb);
		if (bd2 > 0)
			bd = lshift(bd, bd2 MTb);
		if (bs2 > 0)
			bs = lshift(bs, bs2 MTb);
		delta = diff(bb, bd MTb);
		bc.dsign = delta->sign;
		delta->sign = 0;
		i = cmp(delta, bs);
#ifndef NO_STRTOD_BIGCOMP /*{*/
		if (bc.nd > nd && i <= 0) {
			if (bc.dsign) {
				/* Must use bigcomp(). */
				req_bigcomp = 1;
				break;
				}
#ifdef Honor_FLT_ROUNDS
			if (bc.rounding != 1) {
				if (i < 0) {
					req_bigcomp = 1;
					break;
					}
				}
			else
#endif
				i = -1;	/* Discarded digits make delta smaller. */
			}
#endif /*}*/
#ifdef Honor_FLT_ROUNDS /*{*/
		if (bc.rounding != 1) {
			if (i < 0) {
				/* Error is less than an ulp */
				if (!delta->x[0] && delta->wds <= 1) {
					/* exact */
#ifdef SET_INEXACT
					bc.inexact = 0;
#endif
					break;
					}
				if (bc.rounding) {
					if (bc.dsign) {
						adj.d = 1.;
						goto apply_adj;
						}
					}
				else if (!bc.dsign) {
					adj.d = -1.;
					if (!word1(&rv)
					 && !(word0(&rv) & Frac_mask)) {
						y = word0(&rv) & Exp_mask;
#ifdef Avoid_Underflow
						if (!bc.scale || y > 2*P*Exp_msk1)
#else
						if (y)
#endif
						  {
						  delta = lshift(delta,Log2P MTb);
						  if (cmp(delta, bs) <= 0)
							adj.d = -0.5;
						  }
						}
 apply_adj:
#ifdef Avoid_Underflow /*{*/
					if (bc.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.d*ulp(dval(&rv));
						word0(&rv) -= P*Exp_msk1;
						}
					else
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow}*/
					dval(&rv) += adj.d*ulp(&rv);
					}
				break;
				}
			adj.d = ratio(delta, bs);
			if (adj.d < 1.)
				adj.d = 1.;
			if (adj.d <= 0x7ffffffe) {
				/* adj = rounding ? ceil(adj) : floor(adj); */
				y = adj.d;
				if (y != adj.d) {
					if (!((bc.rounding>>1) ^ bc.dsign))
						y++;
					adj.d = y;
					}
				}
#ifdef Avoid_Underflow /*{*/
			if (bc.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;
				adj.d *= ulp(dval(&rv));
				if (bc.dsign)
					dval(&rv) += adj.d;
				else
					dval(&rv) -= adj.d;
				word0(&rv) -= P*Exp_msk1;
				goto cont;
				}
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow}*/
			adj.d *= ulp(&rv);
			if (bc.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 (bc.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)
					bc.inexact = 0;
#endif
				break;
				}
			if (!delta->x[0] && delta->wds <= 1) {
				/* exact result */
#ifdef SET_INEXACT
				bc.inexact = 0;
#endif
				break;
				}
			delta = lshift(delta,Log2P MTb);
			if (cmp(delta, bs) > 0)
				goto drop_down;
			break;
			}
		if (i == 0) {
			/* exactly half-way between */
			if (bc.dsign) {
				if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
				 &&  word1(&rv) == (
#ifdef Avoid_Underflow
			(bc.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
					bc.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 <= (bc.scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
#else
				if (L <= Exp_msk1)
#endif /*Avoid_Underflow*/
#endif /*IBM*/
					{
					if (bc.nd >nd) {
						bc.uflchk = 1;
						break;
						}
					goto undfl;
					}
				L -= Exp_msk1;
#else /*Sudden_Underflow}{*/
#ifdef Avoid_Underflow
				if (bc.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 */
						if (bc.nd >nd) {
							bc.uflchk = 1;
							break;
							}
						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
#ifndef NO_STRTOD_BIGCOMP
				if (bc.nd > nd)
					goto cont;
#endif
				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 (bc.dsign)
#ifdef Avoid_Underflow
				dval(&rv) += sulp(&rv, &bc);
#else
				dval(&rv) += ulp(&rv);
#endif
#ifndef ROUND_BIASED
			else {
#ifdef Avoid_Underflow
				dval(&rv) -= sulp(&rv, &bc);
#else
				dval(&rv) -= ulp(&rv);
#endif
#ifndef Sudden_Underflow
				if (!dval(&rv)) {
					if (bc.nd >nd) {
						bc.uflchk = 1;
						break;
						}
					goto undfl;
					}
#endif
				}
#ifdef Avoid_Underflow
			bc.dsign = 1 - bc.dsign;
#endif
#endif
			break;
			}
		if ((aadj = ratio(delta, bs)) <= 2.) {
			if (bc.dsign)
				aadj = aadj1 = 1.;
			else if (word1(&rv) || word0(&rv) & Bndry_mask) {
#ifndef Sudden_Underflow
				if (word1(&rv) == Tiny1 && !word0(&rv)) {
					if (bc.nd >nd) {
						bc.uflchk = 1;
						break;
						}
					goto undfl;
					}
#endif
				aadj = 1.;
				aadj1 = -1.;
				}
			else {
				/* special case -- power of FLT_RADIX to be */
				/* rounded down... */

				if (aadj < 2./FLT_RADIX)
					aadj = 1./FLT_RADIX;
				else
					aadj *= 0.5;
				aadj1 = -aadj;
				}
			}
		else {
			aadj *= 0.5;
			aadj1 = bc.dsign ? aadj : -aadj;
#ifdef Check_FLT_ROUNDS
			switch(bc.rounding) {
				case 2: /* towards +infinity */
					aadj1 -= 0.5;
					break;
				case 0: /* towards 0 */
				case 3: /* towards -infinity */
					aadj1 += 0.5;
				}
#else
			if (Flt_Rounds == 0)
				aadj1 += 0.5;
#endif /*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;
			adj.d = aadj1 * ulp(&rv);
			dval(&rv) += adj.d;
			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 (bc.scale && y <= 2*P*Exp_msk1) {
				if (aadj <= 0x7fffffff) {
					if ((z = aadj) <= 0)
						z = 1;
					aadj = z;
					aadj1 = bc.dsign ? aadj : -aadj;
					}
				dval(&aadj2) = aadj1;
				word0(&aadj2) += (2*P+1)*Exp_msk1 - y;
				aadj1 = dval(&aadj2);
				adj.d = aadj1 * ulp(&rv);
				dval(&rv) += adj.d;
				if (rv.d == 0.)
#ifdef NO_STRTOD_BIGCOMP
					goto undfl;
#else
					{
					req_bigcomp = 1;
					break;
					}
#endif
				}
			else {
				adj.d = aadj1 * ulp(&rv);
				dval(&rv) += adj.d;
				}
#else
#ifdef Sudden_Underflow
			if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) {
				dval(&rv0) = dval(&rv);
				word0(&rv) += P*Exp_msk1;
				adj.d = aadj1 * ulp(&rv);
				dval(&rv) += adj.d;
#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) {
						if (bc.nd >nd) {
							bc.uflchk = 1;
							break;
							}
						goto undfl;
						}
					word0(&rv) = Tiny0;
					word1(&rv) = Tiny1;
					goto cont;
					}
				else
					word0(&rv) -= P*Exp_msk1;
				}
			else {
				adj.d = aadj1 * ulp(&rv);
				dval(&rv) += adj.d;
				}
#else /*Sudden_Underflow*/
			/* Compute adj so that the IEEE rounding rules will
			 * correctly round rv + adj in some half-way cases.
			 * If rv * ulp(rv) is denormalized (i.e.,
			 * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
			 * trouble from bits lost to denormalization;
			 * example: 1.2e-307 .
			 */
			if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
				aadj1 = (double)(int)(aadj + 0.5);
				if (!bc.dsign)
					aadj1 = -aadj1;
				}
			adj.d = aadj1 * ulp(&rv);
			dval(&rv) += adj.d;
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
			}
		z = word0(&rv) & Exp_mask;
#ifndef SET_INEXACT
		if (bc.nd == nd) {
#ifdef Avoid_Underflow
		if (!bc.scale)
#endif
		if (y == z) {
			/* Can we stop now? */
			L = (Long)aadj;
			aadj -= L;
			/* The tolerances below are conservative. */
			if (bc.dsign || word1(&rv) || word0(&rv) & Bndry_mask) {
				if (aadj < .4999999 || aadj > .5000001)
					break;
				}
			else if (aadj < .4999999/FLT_RADIX)
				break;
			}
		}
#endif
 cont:
		Bfree(bb MTb);
		Bfree(bd MTb);
		Bfree(bs MTb);
		Bfree(delta MTb);
		}
	Bfree(bb MTb);
	Bfree(bd MTb);
	Bfree(bs MTb);
	Bfree(bd0 MTb);
	Bfree(delta MTb);
#ifndef NO_STRTOD_BIGCOMP
	if (req_bigcomp) {
		bd0 = 0;
		bc.e0 += nz1;
		bigcomp(&rv, s0, &bc MTb);
		y = word0(&rv) & Exp_mask;
		if (y == Exp_mask)
			goto ovfl;
		if (y == 0 && rv.d == 0.)
			goto undfl;
		}
#endif
#ifdef Avoid_Underflow
	if (bc.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
			Set_errno(ERANGE);
#endif
		}
#endif /* Avoid_Underflow */
 ret:
#ifdef SET_INEXACT
	if (bc.inexact) {
		if (!(word0(&rv) & Exp_mask)) {
			/* set underflow and inexact bits */
			dval(&rv0) = 1e-300;
			dval(&rv0) *= dval(&rv0);
			}
		else if (!oldinexact) {
			word0(&rv0) = Exp_1 + (70 << Exp_shift);
			word1(&rv0) = 0;
			dval(&rv0) += 1.;
			}
		}
	else if (!oldinexact)
		clear_inexact();
#endif
	if (se)
		*se = (char *)s;
	return sign ? -dval(&rv) : dval(&rv);
	}

// disable dtoa() and related functions 
#ifndef DISABLE_DTOA

#ifndef MULTIPLE_THREADS
 static char *dtoa_result;
#endif

 static char *
rv_alloc(int i MTd)
{
	int j, k, *r;

	j = sizeof(ULong);
	for(k = 0;
		sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
		j <<= 1)
			k++;
	r = (int*)Balloc(k MTa);
	*r = k;
	return
#ifndef MULTIPLE_THREADS
	dtoa_result =
#endif
		(char *)(r+1);
	}

 static char *
nrv_alloc(const char *s, char *s0, size_t s0len, char **rve, int n MTd)
{
	char *rv, *t;

	if (!s0)
		s0 = rv_alloc(n MTa);
	else if (s0len <= n) {
		rv = 0;
		t = rv + n;
		goto rve_chk;
		}
	t = rv = s0;
	while((*t = *s++))
		++t;
 rve_chk:
	if (rve)
		*rve = t;
	return rv;
	}

/* freedtoa(s) must be used to free values s returned by dtoa
 * when MULTIPLE_THREADS is #defined.  It should be used in all cases,
 * but for consistency with earlier versions of dtoa, it is optional
 * when MULTIPLE_THREADS is not defined.
 */

 void
freedtoa(char *s)
{
#ifdef MULTIPLE_THREADS
	ThInfo *TI = 0;
#endif
	Bigint *b = (Bigint *)((int *)s - 1);
	b->maxwds = 1 << (b->k = *(int*)b);
	Bfree(b MTb);
#ifndef MULTIPLE_THREADS
	if (s == dtoa_result)
		dtoa_result = 0;
#endif
	}

/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
 *
 * Inspired by "How to Print Floating-Point Numbers Accurately" by
 * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
 *
 * Modifications:
 *	1. Rather than iterating, we use a simple numeric overestimate
 *	   to determine k = floor(log10(d)).  We scale relevant
 *	   quantities using O(log2(k)) rather than O(k) multiplications.
 *	2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
 *	   try to generate digits strictly left to right.  Instead, we
 *	   compute with fewer bits and propagate the carry if necessary
 *	   when rounding the final digit up.  This is often faster.
 *	3. Under the assumption that input will be rounded nearest,
 *	   mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
 *	   That is, we allow equality in stopping tests when the
 *	   round-nearest rule will give the same floating-point value
 *	   as would satisfaction of the stopping test with strict
 *	   inequality.
 *	4. We remove common factors of powers of 2 from relevant
 *	   quantities.
 *	5. When converting floating-point integers less than 1e16,
 *	   we use floating-point arithmetic rather than resorting
 *	   to multiple-precision integers.
 *	6. When asked to produce fewer than 15 digits, we first try
 *	   to get by with floating-point arithmetic; we resort to
 *	   multiple-precision integer arithmetic only if we cannot
 *	   guarantee that the floating-point calculation has given
 *	   the correctly rounded result.  For k requested digits and
 *	   "uniformly" distributed input, the probability is
 *	   something like 10^(k-15) that we must resort to the Long
 *	   calculation.
 */

 char *
dtoa_r(double dd, int mode, int ndigits, int *decpt, int *sign, char **rve, char *buf, size_t blen)
{
 /*	Arguments ndigits, decpt, sign are similar to those
	of ecvt and fcvt; trailing zeros are suppressed from
	the returned string.  If not null, *rve is set to point
	to the end of the return value.  If d is +-Infinity or NaN,
	then *decpt is set to 9999.

	mode:
		0 ==> shortest string that yields d when read in
			and rounded to nearest.
		1 ==> like 0, but with Steele & White stopping rule;
			e.g. with IEEE P754 arithmetic , mode 0 gives
			1e23 whereas mode 1 gives 9.999999999999999e22.
		2 ==> max(1,ndigits) significant digits.  This gives a
			return value similar to that of ecvt, except
			that trailing zeros are suppressed.
		3 ==> through ndigits past the decimal point.  This
			gives a return value similar to that from fcvt,
			except that trailing zeros are suppressed, and
			ndigits can be negative.
		4,5 ==> similar to 2 and 3, respectively, but (in
			round-nearest mode) with the tests of mode 0 to
			possibly return a shorter string that rounds to d.
			With IEEE arithmetic and compilation with
			-DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
			as modes 2 and 3 when FLT_ROUNDS != 1.
		6-9 ==> Debugging modes similar to mode - 4:  don't try
			fast floating-point estimate (if applicable).

		Values of mode other than 0-9 are treated as mode 0.

	When not NULL, buf is an output buffer of length blen, which must
	be large enough to accommodate suppressed trailing zeros and a trailing
	null byte.  If blen is too small, rv = NULL is returned, in which case
	if rve is not NULL, a subsequent call with blen >= (*rve - rv) + 1
	should succeed in returning buf.

	When buf is NULL, sufficient space is allocated for the return value,
	which, when done using, the caller should pass to freedtoa().

	USE_BF is automatically defined when neither NO_LONG_LONG nor NO_BF96
	is defined.
	*/

#ifdef MULTIPLE_THREADS
	ThInfo *TI = 0;
#endif
	int bbits, b2, b5, be, dig, i, ilim, ilim1,
		j, j1, k, leftright, m2, m5, s2, s5, spec_case;
#ifndef Sudden_Underflow
	int denorm;
#endif
	Bigint *b, *b1, *delta, *mlo, *mhi, *S;
	U u;
	char *s;
#ifdef SET_INEXACT
	int inexact, oldinexact;
#endif
#ifdef USE_BF96 /*{{*/
	BF96 *p10;
	ULLong dbhi, dbits, dblo, den, hb, rb, rblo, res, res0, res3, reslo, sres,
		sulp, tv0, tv1, tv2, tv3, ulp, ulplo, ulpmask, ures, ureslo, zb;
	int eulp, k1, n2, ulpadj, ulpshift;
#else /*}{*/
#ifndef Sudden_Underflow
	ULong x;
#endif
	Long L;
	U d2, eps;
	double ds;
	int ieps, ilim0, k0, k_check, try_quick;
#ifndef No_leftright
#ifdef IEEE_Arith
	U eps1;
#endif
#endif
#endif /*}}*/
#ifdef Honor_FLT_ROUNDS /*{*/
	int Rounding;
#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
	Rounding = Flt_Rounds;
#else /*}{*/
	Rounding = 1;
	switch(fegetround()) {
	  case FE_TOWARDZERO:	Rounding = 0; break;
	  case FE_UPWARD:	Rounding = 2; break;
	  case FE_DOWNWARD:	Rounding = 3;
	  }
#endif /*}}*/
#endif /*}*/

	u.d = dd;
	if (word0(&u) & Sign_bit) {
		/* set sign for everything, including 0's and NaNs */
		*sign = 1;
		word0(&u) &= ~Sign_bit;	/* clear sign bit */
		}
	else
		*sign = 0;

#if defined(IEEE_Arith) + defined(VAX)
#ifdef IEEE_Arith
	if ((word0(&u) & Exp_mask) == Exp_mask)
#else
	if (word0(&u)  == 0x8000)
#endif
		{
		/* Infinity or NaN */
		*decpt = 9999;
#ifdef IEEE_Arith
		if (!word1(&u) && !(word0(&u) & 0xfffff))
			return nrv_alloc("Infinity", buf, blen, rve, 8 MTb);
#endif
		return nrv_alloc("NaN", buf, blen, rve, 3 MTb);
		}
#endif
#ifdef IBM
	dval(&u) += 0; /* normalize */
#endif
	if (!dval(&u)) {
		*decpt = 1;
		return nrv_alloc("0", buf, blen, rve, 1 MTb);
		}

#ifdef SET_INEXACT
#ifndef USE_BF96
	try_quick =
#endif
	oldinexact = get_inexact();
	inexact = 1;
#endif
#ifdef Honor_FLT_ROUNDS
	if (Rounding >= 2) {
		if (*sign)
			Rounding = Rounding == 2 ? 0 : 2;
		else
			if (Rounding != 2)
				Rounding = 0;
		}
#endif
#ifdef USE_BF96 /*{{*/
	dbits = (u.LL & 0xfffffffffffffull) << 11;	/* fraction bits */
	if ((be = u.LL >> 52)) /* biased exponent; nonzero ==> normal */ {
		dbits |= 0x8000000000000000ull;
		denorm = ulpadj = 0;
		}
	else {
		denorm = 1;
		ulpadj = be + 1;
		dbits <<= 1;
		if (!(dbits & 0xffffffff00000000ull)) {
			dbits <<= 32;
			be -= 32;
			}
		if (!(dbits & 0xffff000000000000ull)) {
			dbits <<= 16;
			be -= 16;
			}
		if (!(dbits & 0xff00000000000000ull)) {
			dbits <<= 8;
			be -= 8;
			}
		if (!(dbits & 0xf000000000000000ull)) {
			dbits <<= 4;
			be -= 4;
			}
		if (!(dbits & 0xc000000000000000ull)) {
			dbits <<= 2;
			be -= 2;
			}
		if (!(dbits & 0x8000000000000000ull)) {
			dbits <<= 1;
			be -= 1;
			}
		assert(be >= -51);
		ulpadj -= be;
		}
	j = Lhint[be + 51];
	p10 = &pten[j];
	dbhi = dbits >> 32;
	dblo = dbits & 0xffffffffull;
	i = be - 0x3fe;
	if (i < p10->e
	|| (i == p10->e && (dbhi < p10->b0 || (dbhi == p10->b0 && dblo < p10->b1))))
		--j;
	k = j - 342;

	/* now 10^k <= dd < 10^(k+1) */

#else /*}{*/

	b = d2b(&u, &be, &bbits MTb);
#ifdef Sudden_Underflow
	i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
#else
	if ((i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
#endif
		dval(&d2) = dval(&u);
		word0(&d2) &= Frac_mask1;
		word0(&d2) |= Exp_11;
#ifdef IBM
		if (j = 11 - hi0bits(word0(&d2) & Frac_mask))
			dval(&d2) /= 1 << j;
#endif

		/* log(x)	~=~ log(1.5) + (x-1.5)/1.5
		 * log10(x)	 =  log(x) / log(10)
		 *		~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
		 * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
		 *
		 * This suggests computing an approximation k to log10(d) by
		 *
		 * k = (i - Bias)*0.301029995663981
		 *	+ ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
		 *
		 * We want k to be too large rather than too small.
		 * The error in the first-order Taylor series approximation
		 * is in our favor, so we just round up the constant enough
		 * to compensate for any error in the multiplication of
		 * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
		 * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
		 * adding 1e-13 to the constant term more than suffices.
		 * Hence we adjust the constant term to 0.1760912590558.
		 * (We could get a more accurate k by invoking log10,
		 *  but this is probably not worthwhile.)
		 */

		i -= Bias;
#ifdef IBM
		i <<= 2;
		i += j;
#endif
#ifndef Sudden_Underflow
		denorm = 0;
		}
	else {
		/* d is denormalized */

		i = bbits + be + (Bias + (P-1) - 1);
		x = i > 32  ? word0(&u) << (64 - i) | word1(&u) >> (i - 32)
			    : word1(&u) << (32 - i);
		dval(&d2) = x;
		word0(&d2) -= 31*Exp_msk1; /* adjust exponent */
		i -= (Bias + (P-1) - 1) + 1;
		denorm = 1;
		}
#endif
	ds = (dval(&d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
	k = (int)ds;
	if (ds < 0. && ds != k)
		k--;	/* want k = floor(ds) */
	k_check = 1;
	if (k >= 0 && k <= Ten_pmax) {
		if (dval(&u) < tens[k])
			k--;
		k_check = 0;
		}
	j = bbits - i - 1;
	if (j >= 0) {
		b2 = 0;
		s2 = j;
		}
	else {
		b2 = -j;
		s2 = 0;
		}
	if (k >= 0) {
		b5 = 0;
		s5 = k;
		s2 += k;
		}
	else {
		b2 -= k;
		b5 = -k;
		s5 = 0;
		}
#endif /*}}*/
	if (mode < 0 || mode > 9)
		mode = 0;

#ifndef USE_BF96
#ifndef SET_INEXACT
#ifdef Check_FLT_ROUNDS
	try_quick = Rounding == 1;
#endif
#endif /*SET_INEXACT*/
#endif

	if (mode > 5) {
		mode -= 4;
#ifndef USE_BF96
		try_quick = 0;
#endif
		}
	leftright = 1;
	ilim = ilim1 = -1;	/* Values for cases 0 and 1; done here to */
				/* silence erroneous "gcc -Wall" warning. */
	switch(mode) {
		case 0:
		case 1:
			i = 18;
			ndigits = 0;
			break;
		case 2:
			leftright = 0;
			/* no break */
		case 4:
			if (ndigits <= 0)
				ndigits = 1;
			ilim = ilim1 = i = ndigits;
			break;
		case 3:
			leftright = 0;
			/* no break */
		case 5:
			i = ndigits + k + 1;
			ilim = i;
			ilim1 = i - 1;
			if (i <= 0)
				i = 1;
		}
	if (!buf) {
		buf = rv_alloc(i MTb);
		blen = sizeof(Bigint) + ((1 << ((int*)buf)[-1]) - 1)*sizeof(ULong) - sizeof(int);
		}
	else if (blen <= i) {
		buf = 0;
		if (rve)
			*rve = buf + i;
		return buf;
		}
	s = buf;

	/* Check for special case that d is a normalized power of 2. */

	spec_case = 0;
	if (mode < 2 || (leftright
#ifdef Honor_FLT_ROUNDS
			&& Rounding == 1
#endif
				)) {
		if (!word1(&u) && !(word0(&u) & Bndry_mask)
#ifndef Sudden_Underflow
		 && word0(&u) & (Exp_mask & ~Exp_msk1)
#endif
				) {
			/* The special case */
			spec_case = 1;
			}
		}

#ifdef USE_BF96 /*{*/
	b = 0;
	if (ilim < 0 && (mode == 3 || mode == 5)) {
		S = mhi = 0;
		goto no_digits;
		}
	i = 1;
	j = 52 + 0x3ff - be;
	ulpshift = 0;
	ulplo = 0;
	/* Can we do an exact computation with 64-bit integer arithmetic? */
	if (k < 0) {
		if (k < -25)
			goto toobig;
		res = dbits >> 11;
		n2 = pfivebits[k1 = -(k + 1)] + 53;
		j1 = j;
		if (n2 > 61) {
			ulpshift = n2 - 61;
			if (res & (ulpmask = (1ull << ulpshift) - 1))
				goto toobig;
			j -= ulpshift;
			res >>= ulpshift;
			}
		/* Yes. */
		res *= ulp = pfive[k1];
		if (ulpshift) {
			ulplo = ulp;
			ulp >>= ulpshift;
			}
		j += k;
		if (ilim == 0) {
			S = mhi = 0;
			if (res > (5ull << j))
				goto one_digit;
			goto no_digits;
			}
		goto no_div;
		}
	if (ilim == 0 && j + k >= 0) {
		S = mhi = 0;
		if ((dbits >> 11) > (pfive[k-1] << j))
			goto one_digit;
		goto no_digits;
		}
	if (k <= dtoa_divmax && j + k >= 0) {
		/* Another "yes" case -- we will use exact integer arithmetic. */
 use_exact:
		Debug(++dtoa_stats[3]);
		res = dbits >> 11;	/* residual */
		ulp = 1;
		if (k <= 0)
			goto no_div;
		j1 = j + k + 1;
		den = pfive[k-i] << (j1 - i);
		for(;;) {
			dig = res / den;
			*s++ = '0' + dig;
			if (!(res -= dig*den)) {
#ifdef SET_INEXACT
				inexact = 0;
				oldinexact = 1;
#endif
				goto retc;
				}
			if (ilim < 0) {
				ures = den - res;
				if (2*res <= ulp
				&& (spec_case ? 4*res <= ulp : (2*res < ulp || dig & 1)))
					goto ulp_reached;
				if (2*ures < ulp)
					goto Roundup;
				}
			else if (i == ilim) {
				switch(Rounding) {
				  case 0: goto retc;
				  case 2: goto Roundup;
				  }
				ures = 2*res;
				if (ures > den
				|| (ures == den && dig & 1)
				|| (spec_case && res <= ulp && 2*res >= ulp))
					goto Roundup;
				goto retc;
				}
			if (j1 < ++i) {
				res *= 10;
				ulp *= 10;
				}
			else {
				if (i > k)
					break;
				den = pfive[k-i] << (j1 - i);
				}
			}
 no_div:
		for(;;) {
			dig = den = res >> j;
			*s++ = '0' + dig;
			if (!(res -= den << j)) {
#ifdef SET_INEXACT
				inexact = 0;
				oldinexact = 1;
#endif
				goto retc;
				}
			if (ilim < 0) {
				ures = (1ull << j) - res;
				if (2*res <= ulp
				&& (spec_case ? 4*res <= ulp : (2*res < ulp || dig & 1))) {
 ulp_reached:
					if (ures < res
					|| (ures == res && dig & 1))
						goto Roundup;
					goto retc;
					}
				if (2*ures < ulp)
					goto Roundup;
				}
			--j;
			if (i == ilim) {
#ifdef Honor_FLT_ROUNDS
				switch(Rounding) {
				  case 0: goto retc;
				  case 2: goto Roundup;
				  }
#endif
				hb = 1ull << j;
				if (res & hb && (dig & 1 || res & (hb-1)))
					goto Roundup;
				if (spec_case && res <= ulp && 2*res >= ulp) {
 Roundup:
					while(*--s == '9')
						if (s == buf) {
							++k;
							*s++ = '1';
							goto ret1;
							}
					++*s++;
					goto ret1;
					}
				goto retc;
				}
			++i;
			res *= 5;
			if (ulpshift) {
				ulplo = 5*(ulplo & ulpmask);
				ulp = 5*ulp + (ulplo >> ulpshift);
				}
			else
				ulp *= 5;
			}
		}
 toobig:
	if (ilim > 28)
		goto Fast_failed1;
	/* Scale by 10^-k */
	p10 = &pten[342-k];
	tv0 = p10->b2 * dblo; /* rarely matters, but does, e.g., for 9.862818194192001e18 */
	tv1 = p10->b1 * dblo + (tv0 >> 32);
	tv2 = p10->b2 * dbhi + (tv1 & 0xffffffffull);
	tv3 = p10->b0 * dblo + (tv1>>32) + (tv2>>32);
	res3 = p10->b1 * dbhi + (tv3 & 0xffffffffull);
	res = p10->b0 * dbhi + (tv3>>32) + (res3>>32);
	be += p10->e - 0x3fe;
	eulp = j1 = be - 54 + ulpadj;
	if (!(res & 0x8000000000000000ull)) {
		--be;
		res3 <<= 1;
		res = (res << 1) | ((res3 & 0x100000000ull) >> 32);
		}
	res0 = res; /* save for Fast_failed */
#if !defined(SET_INEXACT) && !defined(NO_DTOA_64) /*{*/
	if (ilim > 19)
		goto Fast_failed;
	Debug(++dtoa_stats[4]);
	assert(be >= 0 && be <= 4); /* be = 0 is rare, but possible, e.g., for 1e20 */
	res >>= 4 - be;
	ulp = p10->b0;	/* ulp */
	ulp = (ulp << 29) | (p10->b1 >> 3);
	/* scaled ulp = ulp * 2^(eulp - 60) */
	/* We maintain 61 bits of the scaled ulp. */
	if (ilim == 0) {
		if (!(res & 0x7fffffffffffffeull)
		 || !((~res) & 0x7fffffffffffffeull))
			goto Fast_failed1;
		S = mhi = 0;
		if (res >= 0x5000000000000000ull)
			goto one_digit;
		goto no_digits;
		}
	rb = 1;	/* upper bound on rounding error */
	for(;;++i) {
		dig = res >> 60;
		*s++ = '0' + dig;
		res &= 0xfffffffffffffffull;
		if (ilim < 0) {
			ures = 0x1000000000000000ull - res;
			if (eulp > 0) {
				assert(eulp <= 4);
				sulp = ulp << (eulp - 1);
				if (res <= ures) {
					if (res + rb > ures - rb)
						goto Fast_failed;
					if (res < sulp)
						goto retc;
					}
				else {
					if (res - rb <= ures + rb)
						goto Fast_failed;
					if (ures < sulp)
						goto Roundup;
					}
				}
			else {
				zb = -(1ull << (eulp + 63));
				if (!(zb & res)) {
					sres = res << (1 - eulp);
					if (sres < ulp && (!spec_case || 2*sres < ulp)) {
						if ((res+rb) << (1 - eulp) >= ulp)
							goto Fast_failed;
						if (ures < res) {
							if (ures + rb >= res - rb)
								goto Fast_failed;
							goto Roundup;
							}
						if (ures - rb < res + rb)
							goto Fast_failed;
						goto retc;
						}
					}
				if (!(zb & ures) && ures << -eulp < ulp) {
					if (ures << (1 - eulp) < ulp)
						goto  Roundup;
					goto Fast_failed;
					}
				}
			}
		else if (i == ilim) {
			ures = 0x1000000000000000ull - res;
			if (ures < res) {
				if (ures <= rb || res - rb <= ures + rb) {
					if (j + k >= 0 && k >= 0 && k <= 27)
						goto use_exact1;
					goto Fast_failed;
					}
#ifdef Honor_FLT_ROUNDS
				if (Rounding == 0)
					goto retc;
#endif
				goto Roundup;
				}
			if (res <= rb || ures - rb <= res + rb) {
				if (j + k >= 0 && k >= 0 && k <= 27) {
 use_exact1:
					s = buf;
					i = 1;
					goto use_exact;
					}
				goto Fast_failed;
				}
#ifdef Honor_FLT_ROUNDS
			if (Rounding == 2)
				goto Roundup;
#endif
			goto retc;
			}
		rb *= 10;
		if (rb >= 0x1000000000000000ull)
			goto Fast_failed;
		res *= 10;
		ulp *= 5;
		if (ulp & 0x8000000000000000ull) {
			eulp += 4;
			ulp >>= 3;
			}
		else {
			eulp += 3;
			ulp >>= 2;
			}
		}
#endif /*}*/
#ifndef NO_BF96
 Fast_failed:
#endif
	Debug(++dtoa_stats[5]);
	s = buf;
	i = 4 - be;
	res = res0 >> i;
	reslo = 0xffffffffull & res3;
	if (i)
		reslo = (res0 << (64 - i)) >> 32 | (reslo >> i);
	rb = 0;
	rblo = 4; /* roundoff bound */
	ulp = p10->b0;	/* ulp */
	ulp = (ulp << 29) | (p10->b1 >> 3);
	eulp = j1;
	for(i = 1;;++i) {
		dig = res >> 60;
		*s++ = '0' + dig;
		res &= 0xfffffffffffffffull;
#ifdef SET_INEXACT
		if (!res && !reslo) {
			if (!(res3 & 0xffffffffull)) {
				inexact = 0;
				oldinexact = 1;
				}
			goto retc;
			}
#endif
		if (ilim < 0) {
			ures = 0x1000000000000000ull - res;
			ureslo = 0;
			if (reslo) {
				ureslo = 0x100000000ull - reslo;
				--ures;
				}
			if (eulp > 0) {
				assert(eulp <= 4);
				sulp = (ulp << (eulp - 1)) - rb;
				if (res <= ures) {
					if (res < sulp) {
						if (res+rb < ures-rb)
							goto retc;
						}
					}
				else if (ures < sulp) {
					if (res-rb > ures+rb)
						goto Roundup;
					}
				goto Fast_failed1;
				}
			else {
				zb = -(1ull << (eulp + 60));
				if (!(zb & (res + rb))) {
					sres = (res - rb) << (1 - eulp);
					if (sres < ulp && (!spec_case || 2*sres < ulp)) {
						sres = res << (1 - eulp);
						if ((j = eulp + 31) > 0)
							sres += (rblo + reslo) >> j;
						else
							sres += (rblo + reslo) << -j;
						if (sres + (rb << (1 - eulp)) >= ulp)
							goto Fast_failed1;
						if (sres >= ulp)
							goto more96;
						if (ures < res
						|| (ures == res && ureslo < reslo)) {
							if (ures + rb >= res - rb)
								goto Fast_failed1;
							goto Roundup;
							}
						if (ures - rb <= res + rb)
							goto Fast_failed1;
						goto retc;
						}
					}
				if (!(zb & ures) && (ures-rb) << (1 - eulp) < ulp) {
					if ((ures + rb) << (1 - eulp) < ulp)
						goto Roundup;
					goto Fast_failed1;
					}
				}
			}
		else if (i == ilim) {
			ures = 0x1000000000000000ull - res;
			sres = ureslo = 0;
			if (reslo) {
				ureslo = 0x100000000ull - reslo;
				--ures;
				sres = (reslo + rblo) >> 31;
				}
			sres += 2*rb;
			if (ures <= res) {
				if (ures <=sres || res - ures <= sres)
					goto Fast_failed1;
#ifdef Honor_FLT_ROUNDS
				if (Rounding == 0)
					goto retc;
#endif
				goto Roundup;
				}
			if (res <= sres || ures - res <= sres)
				goto Fast_failed1;
#ifdef Honor_FLT_ROUNDS
			if (Rounding == 2)
				goto Roundup;
#endif
			goto retc;
			}
 more96:
		rblo *= 10;
		rb = 10*rb + (rblo >> 32);
		rblo &= 0xffffffffull;
		if (rb >= 0x1000000000000000ull)
			goto Fast_failed1;
		reslo *= 10;
		res = 10*res + (reslo >> 32);
		reslo &= 0xffffffffull;
		ulp *= 5;
		if (ulp & 0x8000000000000000ull) {
			eulp += 4;
			ulp >>= 3;
			}
		else {
			eulp += 3;
			ulp >>= 2;
			}
		}
 Fast_failed1:
	Debug(++dtoa_stats[6]);
	S = mhi = mlo = 0;
#ifdef USE_BF96
	b = d2b(&u, &be, &bbits MTb);
#endif
	s = buf;
	i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
	i -= Bias;
	if (ulpadj)
		i -= ulpadj - 1;
	j = bbits - i - 1;
	if (j >= 0) {
		b2 = 0;
		s2 = j;
		}
	else {
		b2 = -j;
		s2 = 0;
		}
	if (k >= 0) {
		b5 = 0;
		s5 = k;
		s2 += k;
		}
	else {
		b2 -= k;
		b5 = -k;
		s5 = 0;
		}
#endif /*}*/

#ifdef Honor_FLT_ROUNDS
	if (mode > 1 && Rounding != 1)
		leftright = 0;
#endif

#ifndef USE_BF96 /*{*/
	if (ilim >= 0 && ilim <= Quick_max && try_quick) {

		/* Try to get by with floating-point arithmetic. */

		i = 0;
		dval(&d2) = dval(&u);
		j1 = -(k0 = k);
		ilim0 = ilim;
		ieps = 2; /* conservative */
		if (k > 0) {
			ds = tens[k&0xf];
			j = k >> 4;
			if (j & Bletch) {
				/* prevent overflows */
				j &= Bletch - 1;
				dval(&u) /= bigtens[n_bigtens-1];
				ieps++;
				}
			for(; j; j >>= 1, i++)
				if (j & 1) {
					ieps++;
					ds *= bigtens[i];
					}
			dval(&u) /= ds;
			}
		else if (j1 > 0) {
			dval(&u) *= tens[j1 & 0xf];
			for(j = j1 >> 4; j; j >>= 1, i++)
				if (j & 1) {
					ieps++;
					dval(&u) *= bigtens[i];
					}
			}
		if (k_check && dval(&u) < 1. && ilim > 0) {
			if (ilim1 <= 0)
				goto fast_failed;
			ilim = ilim1;
			k--;
			dval(&u) *= 10.;
			ieps++;
			}
		dval(&eps) = ieps*dval(&u) + 7.;
		word0(&eps) -= (P-1)*Exp_msk1;
		if (ilim == 0) {
			S = mhi = 0;
			dval(&u) -= 5.;
			if (dval(&u) > dval(&eps))
				goto one_digit;
			if (dval(&u) < -dval(&eps))
				goto no_digits;
			goto fast_failed;
			}
#ifndef No_leftright
		if (leftright) {
			/* Use Steele & White method of only
			 * generating digits needed.
			 */
			dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
#ifdef IEEE_Arith
			if (j1 >= 307) {
				eps1.d = 1.01e256; /* 1.01 allows roundoff in the next few lines */
				word0(&eps1) -= Exp_msk1 * (Bias+P-1);
				dval(&eps1) *= tens[j1 & 0xf];
				for(i = 0, j = (j1-256) >> 4; j; j >>= 1, i++)
					if (j & 1)
						dval(&eps1) *= bigtens[i];
				if (eps.d < eps1.d)
					eps.d = eps1.d;
				if (10. - u.d < 10.*eps.d && eps.d < 1.) {
					/* eps.d < 1. excludes trouble with the tiniest denormal */
					*s++ = '1';
					++k;
					goto ret1;
					}
				}
#endif
			for(i = 0;;) {
				L = dval(&u);
				dval(&u) -= L;
				*s++ = '0' + (int)L;
				if (1. - dval(&u) < dval(&eps))
					goto bump_up;
				if (dval(&u) < dval(&eps))
					goto retc;
				if (++i >= ilim)
					break;
				dval(&eps) *= 10.;
				dval(&u) *= 10.;
				}
			}
		else {
#endif
			/* Generate ilim digits, then fix them up. */
			dval(&eps) *= tens[ilim-1];
			for(i = 1;; i++, dval(&u) *= 10.) {
				L = (Long)(dval(&u));
				if (!(dval(&u) -= L))
					ilim = i;
				*s++ = '0' + (int)L;
				if (i == ilim) {
					if (dval(&u) > 0.5 + dval(&eps))
						goto bump_up;
					else if (dval(&u) < 0.5 - dval(&eps))
						goto retc;
					break;
					}
				}
#ifndef No_leftright
			}
#endif
 fast_failed:
		s = buf;
		dval(&u) = dval(&d2);
		k = k0;
		ilim = ilim0;
		}

	/* Do we have a "small" integer? */

	if (be >= 0 && k <= Int_max) {
		/* Yes. */
		ds = tens[k];
		if (ndigits < 0 && ilim <= 0) {
			S = mhi = 0;
			if (ilim < 0 || dval(&u) <= 5*ds)
				goto no_digits;
			goto one_digit;
			}
		for(i = 1;; i++, dval(&u) *= 10.) {
			L = (Long)(dval(&u) / ds);
			dval(&u) -= L*ds;
#ifdef Check_FLT_ROUNDS
			/* If FLT_ROUNDS == 2, L will usually be high by 1 */
			if (dval(&u) < 0) {
				L--;
				dval(&u) += ds;
				}
#endif
			*s++ = '0' + (int)L;
			if (!dval(&u)) {
#ifdef SET_INEXACT
				inexact = 0;
#endif
				break;
				}
			if (i == ilim) {
#ifdef Honor_FLT_ROUNDS
				if (mode > 1)
				switch(Rounding) {
				  case 0: goto retc;
				  case 2: goto bump_up;
				  }
#endif
				dval(&u) += dval(&u);
#ifdef ROUND_BIASED
				if (dval(&u) >= ds)
#else
				if (dval(&u) > ds || (dval(&u) == ds && L & 1))
#endif
					{
 bump_up:
					while(*--s == '9')
						if (s == buf) {
							k++;
							*s = '0';
							break;
							}
					++*s++;
					}
				break;
				}
			}
		goto retc;
		}

#endif /*}*/
	m2 = b2;
	m5 = b5;
	mhi = mlo = 0;
	if (leftright) {
		i =
#ifndef Sudden_Underflow
			denorm ? be + (Bias + (P-1) - 1 + 1) :
#endif
#ifdef IBM
			1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
#else
			1 + P - bbits;
#endif
		b2 += i;
		s2 += i;
		mhi = i2b(1 MTb);
		}
	if (m2 > 0 && s2 > 0) {
		i = m2 < s2 ? m2 : s2;
		b2 -= i;
		m2 -= i;
		s2 -= i;
		}
	if (b5 > 0) {
		if (leftright) {
			if (m5 > 0) {
				mhi = pow5mult(mhi, m5 MTb);
				b1 = mult(mhi, b MTb);
				Bfree(b MTb);
				b = b1;
				}
			if ((j = b5 - m5))
				b = pow5mult(b, j MTb);
			}
		else
			b = pow5mult(b, b5 MTb);
		}
	S = i2b(1 MTb);
	if (s5 > 0)
		S = pow5mult(S, s5 MTb);

	if (spec_case) {
		b2 += Log2P;
		s2 += Log2P;
		}

	/* Arrange for convenient computation of quotients:
	 * shift left if necessary so divisor has 4 leading 0 bits.
	 *
	 * Perhaps we should just compute leading 28 bits of S once
	 * and for all and pass them and a shift to quorem, so it
	 * can do shifts and ors to compute the numerator for q.
	 */
	i = dshift(S, s2);
	b2 += i;
	m2 += i;
	s2 += i;
	if (b2 > 0)
		b = lshift(b, b2 MTb);
	if (s2 > 0)
		S = lshift(S, s2 MTb);
#ifndef USE_BF96
	if (k_check) {
		if (cmp(b,S) < 0) {
			k--;
			b = multadd(b, 10, 0 MTb);	/* we botched the k estimate */
			if (leftright)
				mhi = multadd(mhi, 10, 0 MTb);
			ilim = ilim1;
			}
		}
#endif
	if (ilim <= 0 && (mode == 3 || mode == 5)) {
		if (ilim < 0 || cmp(b,S = multadd(S,5,0 MTb)) <= 0) {
			/* no digits, fcvt style */
 no_digits:
			k = -1 - ndigits;
			goto ret;
			}
 one_digit:
		*s++ = '1';
		++k;
		goto ret;
		}
	if (leftright) {
		if (m2 > 0)
			mhi = lshift(mhi, m2 MTb);

		/* Compute mlo -- check for special case
		 * that d is a normalized power of 2.
		 */

		mlo = mhi;
		if (spec_case) {
			mhi = Balloc(mhi->k MTb);
			Bcopy(mhi, mlo);
			mhi = lshift(mhi, Log2P MTb);
			}

		for(i = 1;;i++) {
			dig = quorem(b,S) + '0';
			/* Do we yet have the shortest decimal string
			 * that will round to d?
			 */
			j = cmp(b, mlo);
			delta = diff(S, mhi MTb);
			j1 = delta->sign ? 1 : cmp(b, delta);
			Bfree(delta MTb);
#ifndef ROUND_BIASED
			if (j1 == 0 && mode != 1 && !(word1(&u) & 1)
#ifdef Honor_FLT_ROUNDS
				&& (mode <= 1 || Rounding >= 1)
#endif
								   ) {
				if (dig == '9')
					goto round_9_up;
				if (j > 0)
					dig++;
#ifdef SET_INEXACT
				else if (!b->x[0] && b->wds <= 1)
					inexact = 0;
#endif
				*s++ = dig;
				goto ret;
				}
#endif
			if (j < 0 || (j == 0 && mode != 1
#ifndef ROUND_BIASED
							&& !(word1(&u) & 1)
#endif
					)) {
				if (!b->x[0] && b->wds <= 1) {
#ifdef SET_INEXACT
					inexact = 0;
#endif
					goto accept_dig;
					}
#ifdef Honor_FLT_ROUNDS
				if (mode > 1)
				 switch(Rounding) {
				  case 0: goto accept_dig;
				  case 2: goto keep_dig;
				  }
#endif /*Honor_FLT_ROUNDS*/
				if (j1 > 0) {
					b = lshift(b, 1 MTb);
					j1 = cmp(b, S);
#ifdef ROUND_BIASED
					if (j1 >= 0 /*)*/
#else
					if ((j1 > 0 || (j1 == 0 && dig & 1))
#endif
					&& dig++ == '9')
						goto round_9_up;
					}
 accept_dig:
				*s++ = dig;
				goto ret;
				}
			if (j1 > 0) {
#ifdef Honor_FLT_ROUNDS
				if (!Rounding && mode > 1)
					goto accept_dig;
#endif
				if (dig == '9') { /* possible if i == 1 */
 round_9_up:
					*s++ = '9';
					goto roundoff;
					}
				*s++ = dig + 1;
				goto ret;
				}
#ifdef Honor_FLT_ROUNDS
 keep_dig:
#endif
			*s++ = dig;
			if (i == ilim)
				break;
			b = multadd(b, 10, 0 MTb);
			if (mlo == mhi)
				mlo = mhi = multadd(mhi, 10, 0 MTb);
			else {
				mlo = multadd(mlo, 10, 0 MTb);
				mhi = multadd(mhi, 10, 0 MTb);
				}
			}
		}
	else
		for(i = 1;; i++) {
			dig = quorem(b,S) + '0';
			*s++ = dig;
			if (!b->x[0] && b->wds <= 1) {
#ifdef SET_INEXACT
				inexact = 0;
#endif
				goto ret;
				}
			if (i >= ilim)
				break;
			b = multadd(b, 10, 0 MTb);
			}

	/* Round off last digit */

#ifdef Honor_FLT_ROUNDS
	if (mode > 1)
		switch(Rounding) {
		  case 0: goto ret;
		  case 2: goto roundoff;
		  }
#endif
	b = lshift(b, 1 MTb);
	j = cmp(b, S);
#ifdef ROUND_BIASED
	if (j >= 0)
#else
	if (j > 0 || (j == 0 && dig & 1))
#endif
		{
 roundoff:
		while(*--s == '9')
			if (s == buf) {
				k++;
				*s++ = '1';
				goto ret;
				}
		++*s++;
		}
 ret:
	Bfree(S MTb);
	if (mhi) {
		if (mlo && mlo != mhi)
			Bfree(mlo MTb);
		Bfree(mhi MTb);
		}
 retc:
	while(s > buf && s[-1] == '0')
		--s;
 ret1:
	if (b)
		Bfree(b MTb);
	*s = 0;
	*decpt = k + 1;
	if (rve)
		*rve = s;
#ifdef SET_INEXACT
	if (inexact) {
		if (!oldinexact) {
			word0(&u) = Exp_1 + (70 << Exp_shift);
			word1(&u) = 0;
			dval(&u) += 1.;
			}
		}
	else if (!oldinexact)
		clear_inexact();
#endif
	return buf;
	}

 char *
dtoa(double dd, int mode, int ndigits, int *decpt, int *sign, char **rve)
{
	/*	Sufficient space is allocated to the return value
		to hold the suppressed trailing zeros.
		See dtoa_r() above for details on the other arguments.
	*/
#ifndef MULTIPLE_THREADS
	if (dtoa_result)
		freedtoa(dtoa_result);
#endif
	return dtoa_r(dd, mode, ndigits, decpt, sign, rve, 0, 0);
 }

#endif /* DISABLE_DTOA */

#ifdef __cplusplus
//}
#endif