6233 lines
156 KiB
C
6233 lines
156 KiB
C
#include "libc/calls/calls.h"
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#include "libc/limits.h"
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#include "libc/math.h"
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#include "libc/runtime/runtime.h"
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#include "libc/str/str.h"
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#include "third_party/dtoa/dtoa.h"
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#define IEEE_8087 1
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/* #define SET_INEXACT 1 */
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#if __NO_MATH_ERRNO__ + 0
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#define NO_ERRNO 1
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#endif
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#if __FINITE_MATH_ONLY__ + 0
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#define NO_INFNAN_CHECK 1
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#endif
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asm(".ident\t\"\\n\\n\
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dtoa (MIT License)\\n\
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The author of this software is David M. Gay.\\n\
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Copyright (c) 1991, 2000, 2001 by Lucent Technologies.\"");
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asm(".include \"libc/disclaimer.inc\"");
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/* clang-format off */
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/****************************************************************
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*
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* The author of this software is David M. Gay.
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*
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* Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
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*
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* Permission to use, copy, modify, and distribute this software for any
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* purpose without fee is hereby granted, provided that this entire notice
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* is included in all copies of any software which is or includes a copy
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* or modification of this software and in all copies of the supporting
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* documentation for such software.
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*
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* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
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* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
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* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
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* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
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*
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***************************************************************/
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/* Please send bug reports to David M. Gay (dmg at acm dot org,
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* with " at " changed at "@" and " dot " changed to "."). */
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/* On a machine with IEEE extended-precision registers, it is
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* necessary to specify double-precision (53-bit) rounding precision
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* before invoking strtod or dtoa. If the machine uses (the equivalent
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* of) Intel 80x87 arithmetic, the call
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* _control87(PC_53, MCW_PC);
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* does this with many compilers. Whether this or another call is
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* appropriate depends on the compiler; for this to work, it may be
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* necessary to #include "float.h" or another system-dependent header
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* file.
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*/
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/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
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* (Note that IEEE arithmetic is disabled by gcc's -ffast-math flag.)
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*
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* This strtod returns a nearest machine number to the input decimal
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* string (or sets errno to ERANGE). With IEEE arithmetic, ties are
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* broken by the IEEE round-even rule. Otherwise ties are broken by
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* biased rounding (add half and chop).
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*
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* Inspired loosely by William D. Clinger's paper "How to Read Floating
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* Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
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*
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* Modifications:
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*
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* 1. We only require IEEE, IBM, or VAX double-precision
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* arithmetic (not IEEE double-extended).
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* 2. We get by with floating-point arithmetic in a case that
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* Clinger missed -- when we're computing d * 10^n
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* for a small integer d and the integer n is not too
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* much larger than 22 (the maximum integer k for which
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* we can represent 10^k exactly), we may be able to
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* compute (d*10^k) * 10^(e-k) with just one roundoff.
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* 3. Rather than a bit-at-a-time adjustment of the binary
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* result in the hard case, we use floating-point
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* arithmetic to determine the adjustment to within
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* one bit; only in really hard cases do we need to
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* compute a second residual.
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* 4. Because of 3., we don't need a large table of powers of 10
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* for ten-to-e (just some small tables, e.g. of 10^k
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* for 0 <= k <= 22).
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*/
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/*
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* #define IEEE_8087 for IEEE-arithmetic machines where the least
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* significant byte has the lowest address.
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* #define IEEE_MC68k for IEEE-arithmetic machines where the most
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* significant byte has the lowest address.
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* #define Long int on machines with 32-bit ints and 64-bit longs.
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* #define IBM for IBM mainframe-style floating-point arithmetic.
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* #define VAX for VAX-style floating-point arithmetic (D_floating).
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* #define No_leftright to omit left-right logic in fast floating-point
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* computation of dtoa. This will cause dtoa modes 4 and 5 to be
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* treated the same as modes 2 and 3 for some inputs.
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* #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
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* and strtod and dtoa should round accordingly. Unless Trust_FLT_ROUNDS
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* is also #defined, fegetround() will be queried for the rounding mode.
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* Note that both FLT_ROUNDS and fegetround() are specified by the C99
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* standard (and are specified to be consistent, with fesetround()
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* affecting the value of FLT_ROUNDS), but that some (Linux) systems
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* do not work correctly in this regard, so using fegetround() is more
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* portable than using FLT_ROUNDS directly.
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* #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
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* and Honor_FLT_ROUNDS is not #defined.
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* #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
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* that use extended-precision instructions to compute rounded
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* products and quotients) with IBM.
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* #define ROUND_BIASED for IEEE-format with biased rounding and arithmetic
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* that rounds toward +Infinity.
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* #define ROUND_BIASED_without_Round_Up for IEEE-format with biased
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* rounding when the underlying floating-point arithmetic uses
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* unbiased rounding. This prevent using ordinary floating-point
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* arithmetic when the result could be computed with one rounding error.
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* #define Inaccurate_Divide for IEEE-format with correctly rounded
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* products but inaccurate quotients, e.g., for Intel i860.
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* #define NO_LONG_LONG on machines that do not have a "long long"
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* integer type (of >= 64 bits). On such machines, you can
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* #define Just_16 to store 16 bits per 32-bit Long when doing
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* high-precision integer arithmetic. Whether this speeds things
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* up or slows things down depends on the machine and the number
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* being converted. If long long is available and the name is
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* something other than "long long", #define Llong to be the name,
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* and if "unsigned Llong" does not work as an unsigned version of
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* Llong, #define #ULLong to be the corresponding unsigned type.
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* #define Bad_float_h if your system lacks a float.h or if it does not
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* define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
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* FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
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* #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
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* if memory is available and otherwise does something you deem
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* appropriate. If MALLOC is undefined, malloc will be invoked
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* directly -- and assumed always to succeed. Similarly, if you
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* want something other than the system's free() to be called to
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* recycle memory acquired from MALLOC, #define FREE to be the
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* name of the alternate routine. (FREE or free is only called in
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* pathological cases, e.g., in a dtoa call after a dtoa return in
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* mode 3 with thousands of digits requested.)
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* #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
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* memory allocations from a private pool of memory when possible.
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* When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
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* unless #defined to be a different length. This default length
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* suffices to get rid of MALLOC calls except for unusual cases,
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* such as decimal-to-binary conversion of a very long string of
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* digits. The longest string dtoa can return is about 751 bytes
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* long. For conversions by strtod of strings of 800 digits and
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* all dtoa conversions in single-threaded executions with 8-byte
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* pointers, PRIVATE_MEM >= 7400 appears to suffice; with 4-byte
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* pointers, PRIVATE_MEM >= 7112 appears adequate.
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* #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
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* #defined automatically on IEEE systems. On such systems,
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* when INFNAN_CHECK is #defined, strtod checks
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* for Infinity and NaN (case insensitively). On some systems
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* (e.g., some HP systems), it may be necessary to #define NAN_WORD0
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* appropriately -- to the most significant word of a quiet NaN.
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* (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
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* When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
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* strtod also accepts (case insensitively) strings of the form
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* NaN(x), where x is a string of hexadecimal digits and spaces;
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* if there is only one string of hexadecimal digits, it is taken
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* for the 52 fraction bits of the resulting NaN; if there are two
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* or more strings of hex digits, the first is for the high 20 bits,
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* the second and subsequent for the low 32 bits, with intervening
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* white space ignored; but if this results in none of the 52
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* fraction bits being on (an IEEE Infinity symbol), then NAN_WORD0
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* and NAN_WORD1 are used instead.
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* #define MULTIPLE_THREADS if the system offers preemptively scheduled
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* multiple threads. In this case, you must provide (or suitably
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* #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
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* by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
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* in pow5mult, ensures lazy evaluation of only one copy of high
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* powers of 5; omitting this lock would introduce a small
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* probability of wasting memory, but would otherwise be harmless.)
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* You must also invoke freedtoa(s) to free the value s returned by
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* dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
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* When MULTIPLE_THREADS is #defined, this source file provides
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* void set_max_dtoa_threads(unsigned int n);
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* and expects
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* unsigned int dtoa_get_threadno(void);
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* to be available (possibly provided by
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* #define dtoa_get_threadno omp_get_thread_num
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* if OpenMP is in use or by
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* #define dtoa_get_threadno pthread_self
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* if Pthreads is in use), to return the current thread number.
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* If set_max_dtoa_threads(n) was called and the current thread
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* number is k with k < n, then calls on ACQUIRE_DTOA_LOCK(...) and
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* FREE_DTOA_LOCK(...) are avoided; instead each thread with thread
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* number < n has a separate copy of relevant data structures.
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* After set_max_dtoa_threads(n), a call set_max_dtoa_threads(m)
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* with m <= n has has no effect, but a call with m > n is honored.
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* Such a call invokes REALLOC (assumed to be "realloc" if REALLOC
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* is not #defined) to extend the size of the relevant array.
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* #define NO_IEEE_Scale to disable new (Feb. 1997) logic in strtod that
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* avoids underflows on inputs whose result does not underflow.
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* If you #define NO_IEEE_Scale on a machine that uses IEEE-format
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* floating-point numbers and flushes underflows to zero rather
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* than implementing gradual underflow, then you must also #define
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* Sudden_Underflow.
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* #define USE_LOCALE to use the current locale's decimal_point value.
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* #define SET_INEXACT if IEEE arithmetic is being used and extra
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* computation should be done to set the inexact flag when the
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* result is inexact and avoid setting inexact when the result
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* is exact. In this case, dtoa.c must be compiled in
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* an environment, perhaps provided by #include "dtoa.c" in a
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* suitable wrapper, that defines two functions,
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* int get_inexact(void);
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* void clear_inexact(void);
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* such that get_inexact() returns a nonzero value if the
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* inexact bit is already set, and clear_inexact() sets the
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* inexact bit to 0. When SET_INEXACT is #defined, strtod
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* also does extra computations to set the underflow and overflow
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* flags when appropriate (i.e., when the result is tiny and
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* inexact or when it is a numeric value rounded to +-infinity).
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* #define NO_ERRNO if strtod should not assign errno = ERANGE when
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* the result overflows to +-Infinity or underflows to 0.
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* When errno should be assigned, under seemingly rare conditions
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* it may be necessary to define Set_errno(x) suitably, e.g., in
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* a local errno.h, such as
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* #include <errno.h>
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* #define Set_errno(x) _set_errno(x)
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* #define NO_HEX_FP to omit recognition of hexadecimal floating-point
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* values by strtod.
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* #define NO_STRTOD_BIGCOMP (on IEEE-arithmetic systems only for now)
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* to disable logic for "fast" testing of very long input strings
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* to strtod. This testing proceeds by initially truncating the
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* input string, then if necessary comparing the whole string with
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* a decimal expansion to decide close cases. This logic is only
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* used for input more than STRTOD_DIGLIM digits long (default 40).
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*/
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#ifndef Long
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#define Long int
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#endif
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#ifndef ULong
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typedef unsigned Long ULong;
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#endif
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#ifdef DEBUG
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#include "libc/assert.h"
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#define Bug(x) {dprintf(STDERR_FILENO, "%s\n", x); exit(1);}
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#define Debug(x) x
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int dtoa_stats[7]; /* strtod_{64,96,bigcomp},dtoa_{exact,64,96,bigcomp} */
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#else
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#define assert(x) /*nothing*/
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#define Debug(x) /*nothing*/
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#endif
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#include "libc/mem/mem.h"
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#include "libc/str/str.h"
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#include "libc/sysv/errfuns.h"
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#ifdef Honor_FLT_ROUNDS
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#ifndef Trust_FLT_ROUNDS
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#include "libc/math.h"
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#endif
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#endif
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifdef MALLOC
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extern void *MALLOC(size_t);
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#else
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#define MALLOC malloc
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#endif
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#ifdef REALLOC
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extern void *REALLOC(void*,size_t);
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#else
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#define REALLOC realloc
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#endif
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#ifndef FREE
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#define FREE free
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#endif
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#ifdef __cplusplus
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}
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#endif
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#ifndef Omit_Private_Memory
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#ifndef PRIVATE_MEM
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#define PRIVATE_MEM 2304
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#endif
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#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
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static double private_mem[PRIVATE_mem], *pmem_next;
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INITIALIZER(300, _init_dtoa_pmem, {pmem_next = private_mem;});
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#endif
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#undef IEEE_Arith
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#undef Avoid_Underflow
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#ifdef IEEE_MC68k
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#define IEEE_Arith
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#endif
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#ifdef IEEE_8087
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#define IEEE_Arith
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#endif
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#ifdef IEEE_Arith
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#ifndef NO_INFNAN_CHECK
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#undef INFNAN_CHECK
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#define INFNAN_CHECK
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#endif
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#else
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#undef INFNAN_CHECK
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#define NO_STRTOD_BIGCOMP
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#endif
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#include "libc/errno.h"
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#ifdef NO_ERRNO /*{*/
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#undef Set_errno
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#define Set_errno(x)
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#else
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#ifndef Set_errno
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#define Set_errno(x) x()
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#endif
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#endif /*}*/
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#ifdef Bad_float_h
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#ifdef IEEE_Arith
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#define DBL_DIG 15
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#define DBL_MAX_10_EXP 308
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#define DBL_MAX_EXP 1024
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#define FLT_RADIX 2
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#endif /*IEEE_Arith*/
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#ifdef IBM
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#define DBL_DIG 16
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#define DBL_MAX_10_EXP 75
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#define DBL_MAX_EXP 63
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#define FLT_RADIX 16
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#define DBL_MAX 7.2370055773322621e+75
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#endif
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#ifdef VAX
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#define DBL_DIG 16
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#define DBL_MAX_10_EXP 38
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#define DBL_MAX_EXP 127
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#define FLT_RADIX 2
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#define DBL_MAX 1.7014118346046923e+38
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#endif
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#ifndef LONG_MAX
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#define LONG_MAX 2147483647
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#endif
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#else /* ifndef Bad_float_h */
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#include "libc/math.h"
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#endif /* Bad_float_h */
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#ifndef __MATH_H__
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#include "libc/math.h"
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#endif
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#ifdef __cplusplus
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extern "C" {
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#endif
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#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
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Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
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#endif
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#undef USE_BF96
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#ifdef NO_LONG_LONG /*{{*/
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#undef ULLong
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#ifdef Just_16
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#undef Pack_32
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/* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
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* This makes some inner loops simpler and sometimes saves work
|
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* during multiplications, but it often seems to make things slightly
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* slower. Hence the default is now to store 32 bits per Long.
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*/
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#endif
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#else /*}{ long long available */
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#ifndef Llong
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#define Llong long long
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#endif
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#ifndef ULLong
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#define ULLong unsigned Llong
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#endif
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#ifndef NO_BF96 /*{*/
|
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#define USE_BF96
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#ifdef SET_INEXACT
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#define dtoa_divmax 27
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#else
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int dtoa_divmax; /* Permit experimenting: on some systems, 64-bit integer */
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/* division is slow enough that we may sometimes want to */
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/* avoid using it. We assume (but do not check) that */
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/* dtoa_divmax <= 27.*/
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INITIALIZER(300, _init_dtoa_divmax, {dtoa_divmax = 2;});
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#endif
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typedef struct BF96 { /* Normalized 96-bit software floating point numbers */
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unsigned int b0,b1,b2; /* b0 = most significant, binary point just to its left */
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int e; /* number represented = b * 2^e, with .5 <= b < 1 */
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} BF96;
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static const BF96 pten[667] = {
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{ 0xeef453d6, 0x923bd65a, 0x113faa29, -1136 },
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{ 0x9558b466, 0x1b6565f8, 0x4ac7ca59, -1132 },
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{ 0xbaaee17f, 0xa23ebf76, 0x5d79bcf0, -1129 },
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{ 0xe95a99df, 0x8ace6f53, 0xf4d82c2c, -1126 },
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{ 0x91d8a02b, 0xb6c10594, 0x79071b9b, -1122 },
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{ 0xb64ec836, 0xa47146f9, 0x9748e282, -1119 },
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{ 0xe3e27a44, 0x4d8d98b7, 0xfd1b1b23, -1116 },
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{ 0x8e6d8c6a, 0xb0787f72, 0xfe30f0f5, -1112 },
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{ 0xb208ef85, 0x5c969f4f, 0xbdbd2d33, -1109 },
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{ 0xde8b2b66, 0xb3bc4723, 0xad2c7880, -1106 },
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{ 0x8b16fb20, 0x3055ac76, 0x4c3bcb50, -1102 },
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{ 0xaddcb9e8, 0x3c6b1793, 0xdf4abe24, -1099 },
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{ 0xd953e862, 0x4b85dd78, 0xd71d6dad, -1096 },
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{ 0x87d4713d, 0x6f33aa6b, 0x8672648c, -1092 },
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{ 0xa9c98d8c, 0xcb009506, 0x680efdaf, -1089 },
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{ 0xd43bf0ef, 0xfdc0ba48, 0x0212bd1b, -1086 },
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{ 0x84a57695, 0xfe98746d, 0x014bb630, -1082 },
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{ 0xa5ced43b, 0x7e3e9188, 0x419ea3bd, -1079 },
|
|
{ 0xcf42894a, 0x5dce35ea, 0x52064cac, -1076 },
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{ 0x818995ce, 0x7aa0e1b2, 0x7343efeb, -1072 },
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{ 0xa1ebfb42, 0x19491a1f, 0x1014ebe6, -1069 },
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{ 0xca66fa12, 0x9f9b60a6, 0xd41a26e0, -1066 },
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{ 0xfd00b897, 0x478238d0, 0x8920b098, -1063 },
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{ 0x9e20735e, 0x8cb16382, 0x55b46e5f, -1059 },
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{ 0xc5a89036, 0x2fddbc62, 0xeb2189f7, -1056 },
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{ 0xf712b443, 0xbbd52b7b, 0xa5e9ec75, -1053 },
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{ 0x9a6bb0aa, 0x55653b2d, 0x47b233c9, -1049 },
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{ 0xc1069cd4, 0xeabe89f8, 0x999ec0bb, -1046 },
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{ 0xf148440a, 0x256e2c76, 0xc00670ea, -1043 },
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{ 0x96cd2a86, 0x5764dbca, 0x38040692, -1039 },
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{ 0xbc807527, 0xed3e12bc, 0xc6050837, -1036 },
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{ 0xeba09271, 0xe88d976b, 0xf7864a44, -1033 },
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{ 0x93445b87, 0x31587ea3, 0x7ab3ee6a, -1029 },
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{ 0xb8157268, 0xfdae9e4c, 0x5960ea05, -1026 },
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{ 0xe61acf03, 0x3d1a45df, 0x6fb92487, -1023 },
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{ 0x8fd0c162, 0x06306bab, 0xa5d3b6d4, -1019 },
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{ 0xb3c4f1ba, 0x87bc8696, 0x8f48a489, -1016 },
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{ 0xe0b62e29, 0x29aba83c, 0x331acdab, -1013 },
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{ 0x8c71dcd9, 0xba0b4925, 0x9ff0c08b, -1009 },
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{ 0xaf8e5410, 0x288e1b6f, 0x07ecf0ae, -1006 },
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{ 0xdb71e914, 0x32b1a24a, 0xc9e82cd9, -1003 },
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{ 0x892731ac, 0x9faf056e, 0xbe311c08, -999 },
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{ 0xab70fe17, 0xc79ac6ca, 0x6dbd630a, -996 },
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{ 0xd64d3d9d, 0xb981787d, 0x092cbbcc, -993 },
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{ 0x85f04682, 0x93f0eb4e, 0x25bbf560, -989 },
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{ 0xa76c5823, 0x38ed2621, 0xaf2af2b8, -986 },
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{ 0xd1476e2c, 0x07286faa, 0x1af5af66, -983 },
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{ 0x82cca4db, 0x847945ca, 0x50d98d9f, -979 },
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{ 0xa37fce12, 0x6597973c, 0xe50ff107, -976 },
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{ 0xcc5fc196, 0xfefd7d0c, 0x1e53ed49, -973 },
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{ 0xff77b1fc, 0xbebcdc4f, 0x25e8e89c, -970 },
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{ 0x9faacf3d, 0xf73609b1, 0x77b19161, -966 },
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{ 0xc795830d, 0x75038c1d, 0xd59df5b9, -963 },
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{ 0xf97ae3d0, 0xd2446f25, 0x4b057328, -960 },
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{ 0x9becce62, 0x836ac577, 0x4ee367f9, -956 },
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{ 0xc2e801fb, 0x244576d5, 0x229c41f7, -953 },
|
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{ 0xf3a20279, 0xed56d48a, 0x6b435275, -950 },
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{ 0x9845418c, 0x345644d6, 0x830a1389, -946 },
|
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{ 0xbe5691ef, 0x416bd60c, 0x23cc986b, -943 },
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{ 0xedec366b, 0x11c6cb8f, 0x2cbfbe86, -940 },
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{ 0x94b3a202, 0xeb1c3f39, 0x7bf7d714, -936 },
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{ 0xb9e08a83, 0xa5e34f07, 0xdaf5ccd9, -933 },
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{ 0xe858ad24, 0x8f5c22c9, 0xd1b3400f, -930 },
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{ 0x91376c36, 0xd99995be, 0x23100809, -926 },
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{ 0xb5854744, 0x8ffffb2d, 0xabd40a0c, -923 },
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{ 0xe2e69915, 0xb3fff9f9, 0x16c90c8f, -920 },
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{ 0x8dd01fad, 0x907ffc3b, 0xae3da7d9, -916 },
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{ 0xb1442798, 0xf49ffb4a, 0x99cd11cf, -913 },
|
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{ 0xdd95317f, 0x31c7fa1d, 0x40405643, -910 },
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{ 0x8a7d3eef, 0x7f1cfc52, 0x482835ea, -906 },
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{ 0xad1c8eab, 0x5ee43b66, 0xda324365, -903 },
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{ 0xd863b256, 0x369d4a40, 0x90bed43e, -900 },
|
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{ 0x873e4f75, 0xe2224e68, 0x5a7744a6, -896 },
|
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{ 0xa90de353, 0x5aaae202, 0x711515d0, -893 },
|
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{ 0xd3515c28, 0x31559a83, 0x0d5a5b44, -890 },
|
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{ 0x8412d999, 0x1ed58091, 0xe858790a, -886 },
|
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{ 0xa5178fff, 0x668ae0b6, 0x626e974d, -883 },
|
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{ 0xce5d73ff, 0x402d98e3, 0xfb0a3d21, -880 },
|
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{ 0x80fa687f, 0x881c7f8e, 0x7ce66634, -876 },
|
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{ 0xa139029f, 0x6a239f72, 0x1c1fffc1, -873 },
|
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{ 0xc9874347, 0x44ac874e, 0xa327ffb2, -870 },
|
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{ 0xfbe91419, 0x15d7a922, 0x4bf1ff9f, -867 },
|
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{ 0x9d71ac8f, 0xada6c9b5, 0x6f773fc3, -863 },
|
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{ 0xc4ce17b3, 0x99107c22, 0xcb550fb4, -860 },
|
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{ 0xf6019da0, 0x7f549b2b, 0x7e2a53a1, -857 },
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{ 0x99c10284, 0x4f94e0fb, 0x2eda7444, -853 },
|
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{ 0xc0314325, 0x637a1939, 0xfa911155, -850 },
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{ 0xf03d93ee, 0xbc589f88, 0x793555ab, -847 },
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{ 0x96267c75, 0x35b763b5, 0x4bc1558b, -843 },
|
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{ 0xbbb01b92, 0x83253ca2, 0x9eb1aaed, -840 },
|
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{ 0xea9c2277, 0x23ee8bcb, 0x465e15a9, -837 },
|
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{ 0x92a1958a, 0x7675175f, 0x0bfacd89, -833 },
|
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{ 0xb749faed, 0x14125d36, 0xcef980ec, -830 },
|
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{ 0xe51c79a8, 0x5916f484, 0x82b7e127, -827 },
|
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{ 0x8f31cc09, 0x37ae58d2, 0xd1b2ecb8, -823 },
|
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{ 0xb2fe3f0b, 0x8599ef07, 0x861fa7e6, -820 },
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{ 0xdfbdcece, 0x67006ac9, 0x67a791e0, -817 },
|
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{ 0x8bd6a141, 0x006042bd, 0xe0c8bb2c, -813 },
|
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{ 0xaecc4991, 0x4078536d, 0x58fae9f7, -810 },
|
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{ 0xda7f5bf5, 0x90966848, 0xaf39a475, -807 },
|
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{ 0x888f9979, 0x7a5e012d, 0x6d8406c9, -803 },
|
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{ 0xaab37fd7, 0xd8f58178, 0xc8e5087b, -800 },
|
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{ 0xd5605fcd, 0xcf32e1d6, 0xfb1e4a9a, -797 },
|
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{ 0x855c3be0, 0xa17fcd26, 0x5cf2eea0, -793 },
|
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{ 0xa6b34ad8, 0xc9dfc06f, 0xf42faa48, -790 },
|
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{ 0xd0601d8e, 0xfc57b08b, 0xf13b94da, -787 },
|
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{ 0x823c1279, 0x5db6ce57, 0x76c53d08, -783 },
|
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{ 0xa2cb1717, 0xb52481ed, 0x54768c4b, -780 },
|
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{ 0xcb7ddcdd, 0xa26da268, 0xa9942f5d, -777 },
|
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{ 0xfe5d5415, 0x0b090b02, 0xd3f93b35, -774 },
|
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{ 0x9efa548d, 0x26e5a6e1, 0xc47bc501, -770 },
|
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{ 0xc6b8e9b0, 0x709f109a, 0x359ab641, -767 },
|
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{ 0xf867241c, 0x8cc6d4c0, 0xc30163d2, -764 },
|
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{ 0x9b407691, 0xd7fc44f8, 0x79e0de63, -760 },
|
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{ 0xc2109436, 0x4dfb5636, 0x985915fc, -757 },
|
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{ 0xf294b943, 0xe17a2bc4, 0x3e6f5b7b, -754 },
|
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{ 0x979cf3ca, 0x6cec5b5a, 0xa705992c, -750 },
|
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{ 0xbd8430bd, 0x08277231, 0x50c6ff78, -747 },
|
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{ 0xece53cec, 0x4a314ebd, 0xa4f8bf56, -744 },
|
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{ 0x940f4613, 0xae5ed136, 0x871b7795, -740 },
|
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{ 0xb9131798, 0x99f68584, 0x28e2557b, -737 },
|
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{ 0xe757dd7e, 0xc07426e5, 0x331aeada, -734 },
|
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{ 0x9096ea6f, 0x3848984f, 0x3ff0d2c8, -730 },
|
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{ 0xb4bca50b, 0x065abe63, 0x0fed077a, -727 },
|
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{ 0xe1ebce4d, 0xc7f16dfb, 0xd3e84959, -724 },
|
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{ 0x8d3360f0, 0x9cf6e4bd, 0x64712dd7, -720 },
|
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{ 0xb080392c, 0xc4349dec, 0xbd8d794d, -717 },
|
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{ 0xdca04777, 0xf541c567, 0xecf0d7a0, -714 },
|
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{ 0x89e42caa, 0xf9491b60, 0xf41686c4, -710 },
|
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{ 0xac5d37d5, 0xb79b6239, 0x311c2875, -707 },
|
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{ 0xd77485cb, 0x25823ac7, 0x7d633293, -704 },
|
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{ 0x86a8d39e, 0xf77164bc, 0xae5dff9c, -700 },
|
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{ 0xa8530886, 0xb54dbdeb, 0xd9f57f83, -697 },
|
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{ 0xd267caa8, 0x62a12d66, 0xd072df63, -694 },
|
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{ 0x8380dea9, 0x3da4bc60, 0x4247cb9e, -690 },
|
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{ 0xa4611653, 0x8d0deb78, 0x52d9be85, -687 },
|
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{ 0xcd795be8, 0x70516656, 0x67902e27, -684 },
|
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{ 0x806bd971, 0x4632dff6, 0x00ba1cd8, -680 },
|
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{ 0xa086cfcd, 0x97bf97f3, 0x80e8a40e, -677 },
|
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{ 0xc8a883c0, 0xfdaf7df0, 0x6122cd12, -674 },
|
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{ 0xfad2a4b1, 0x3d1b5d6c, 0x796b8057, -671 },
|
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{ 0x9cc3a6ee, 0xc6311a63, 0xcbe33036, -667 },
|
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{ 0xc3f490aa, 0x77bd60fc, 0xbedbfc44, -664 },
|
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{ 0xf4f1b4d5, 0x15acb93b, 0xee92fb55, -661 },
|
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{ 0x99171105, 0x2d8bf3c5, 0x751bdd15, -657 },
|
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{ 0xbf5cd546, 0x78eef0b6, 0xd262d45a, -654 },
|
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{ 0xef340a98, 0x172aace4, 0x86fb8971, -651 },
|
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{ 0x9580869f, 0x0e7aac0e, 0xd45d35e6, -647 },
|
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{ 0xbae0a846, 0xd2195712, 0x89748360, -644 },
|
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{ 0xe998d258, 0x869facd7, 0x2bd1a438, -641 },
|
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{ 0x91ff8377, 0x5423cc06, 0x7b6306a3, -637 },
|
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{ 0xb67f6455, 0x292cbf08, 0x1a3bc84c, -634 },
|
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{ 0xe41f3d6a, 0x7377eeca, 0x20caba5f, -631 },
|
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{ 0x8e938662, 0x882af53e, 0x547eb47b, -627 },
|
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{ 0xb23867fb, 0x2a35b28d, 0xe99e619a, -624 },
|
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{ 0xdec681f9, 0xf4c31f31, 0x6405fa00, -621 },
|
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{ 0x8b3c113c, 0x38f9f37e, 0xde83bc40, -617 },
|
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{ 0xae0b158b, 0x4738705e, 0x9624ab50, -614 },
|
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{ 0xd98ddaee, 0x19068c76, 0x3badd624, -611 },
|
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{ 0x87f8a8d4, 0xcfa417c9, 0xe54ca5d7, -607 },
|
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{ 0xa9f6d30a, 0x038d1dbc, 0x5e9fcf4c, -604 },
|
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{ 0xd47487cc, 0x8470652b, 0x7647c320, -601 },
|
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{ 0x84c8d4df, 0xd2c63f3b, 0x29ecd9f4, -597 },
|
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{ 0xa5fb0a17, 0xc777cf09, 0xf4681071, -594 },
|
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{ 0xcf79cc9d, 0xb955c2cc, 0x7182148d, -591 },
|
|
{ 0x81ac1fe2, 0x93d599bf, 0xc6f14cd8, -587 },
|
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{ 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 },
|
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{ 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 },
|
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{ 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 },
|
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{ 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 const 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 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
|
|
};
|
|
|
|
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 /*}} 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 = 1u << k;
|
|
#ifdef Omit_Private_Memory
|
|
rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
|
|
#else
|
|
len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
|
|
/sizeof(double);
|
|
if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem
|
|
#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) *= 1u << k;
|
|
}
|
|
else {
|
|
k = -k;
|
|
word0(&db) += (k >> 2)*Exp_msk1;
|
|
if (k &= 3)
|
|
dval(&db) *= 1u << 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
|
|
};
|
|
|
|
static 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 */
|
|
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] & ((1u << 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, dig, dsign, i, j, nd, nd0, p2, p5, speccase;
|
|
dd = 0; /* TODO(jart): Why does compiler complain? */
|
|
|
|
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 MTa);
|
|
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, *bb1, *bd, *bd0, *bs, *delta;
|
|
#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 */
|
|
case '+':
|
|
if (*++s)
|
|
goto break2;
|
|
/* no break */
|
|
case 0:
|
|
goto ret0;
|
|
case '\t':
|
|
case '\n':
|
|
case '\v':
|
|
case '\f':
|
|
case '\r':
|
|
case ' ':
|
|
continue;
|
|
default:
|
|
goto break2;
|
|
}
|
|
break2:
|
|
if (*s == '0') {
|
|
#ifndef NO_HEX_FP /*{*/
|
|
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;
|
|
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 >= 1u << 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;
|
|
if (sign) {
|
|
return -dval(&rv);
|
|
} else {
|
|
return dval(&rv);
|
|
}
|
|
}
|
|
|
|
#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;
|
|
#if !defined(Sudden_Underflow) || defined(USE_BF96)
|
|
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) /= 1u << 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;
|
|
default: (void)0; /* added by jart */
|
|
}
|
|
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);
|
|
}
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|