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Annotation of src/lib/libc/gdtoa/gdtoaimp.h, Revision 1.1.1.1

1.1       kleink      1: /* $NetBSD$ */
                      2:
                      3: /****************************************************************
                      4:
                      5: The author of this software is David M. Gay.
                      6:
                      7: Copyright (C) 1998-2000 by Lucent Technologies
                      8: All Rights Reserved
                      9:
                     10: Permission to use, copy, modify, and distribute this software and
                     11: its documentation for any purpose and without fee is hereby
                     12: granted, provided that the above copyright notice appear in all
                     13: copies and that both that the copyright notice and this
                     14: permission notice and warranty disclaimer appear in supporting
                     15: documentation, and that the name of Lucent or any of its entities
                     16: not be used in advertising or publicity pertaining to
                     17: distribution of the software without specific, written prior
                     18: permission.
                     19:
                     20: LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
                     21: INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
                     22: IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
                     23: SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
                     24: WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
                     25: IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
                     26: ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
                     27: THIS SOFTWARE.
                     28:
                     29: ****************************************************************/
                     30:
                     31: /* This is a variation on dtoa.c that converts arbitary binary
                     32:    floating-point formats to and from decimal notation.  It uses
                     33:    double-precision arithmetic internally, so there are still
                     34:    various #ifdefs that adapt the calculations to the native
                     35:    double-precision arithmetic (any of IEEE, VAX D_floating,
                     36:    or IBM mainframe arithmetic).
                     37:
                     38:    Please send bug reports to David M. Gay (dmg at acm dot org,
                     39:    with " at " changed at "@" and " dot " changed to ".").
                     40:  */
                     41:
                     42: /* On a machine with IEEE extended-precision registers, it is
                     43:  * necessary to specify double-precision (53-bit) rounding precision
                     44:  * before invoking strtod or dtoa.  If the machine uses (the equivalent
                     45:  * of) Intel 80x87 arithmetic, the call
                     46:  *     _control87(PC_53, MCW_PC);
                     47:  * does this with many compilers.  Whether this or another call is
                     48:  * appropriate depends on the compiler; for this to work, it may be
                     49:  * necessary to #include "float.h" or another system-dependent header
                     50:  * file.
                     51:  */
                     52:
                     53: /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
                     54:  *
                     55:  * This strtod returns a nearest machine number to the input decimal
                     56:  * string (or sets errno to ERANGE).  With IEEE arithmetic, ties are
                     57:  * broken by the IEEE round-even rule.  Otherwise ties are broken by
                     58:  * biased rounding (add half and chop).
                     59:  *
                     60:  * Inspired loosely by William D. Clinger's paper "How to Read Floating
                     61:  * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
                     62:  *
                     63:  * Modifications:
                     64:  *
                     65:  *     1. We only require IEEE, IBM, or VAX double-precision
                     66:  *             arithmetic (not IEEE double-extended).
                     67:  *     2. We get by with floating-point arithmetic in a case that
                     68:  *             Clinger missed -- when we're computing d * 10^n
                     69:  *             for a small integer d and the integer n is not too
                     70:  *             much larger than 22 (the maximum integer k for which
                     71:  *             we can represent 10^k exactly), we may be able to
                     72:  *             compute (d*10^k) * 10^(e-k) with just one roundoff.
                     73:  *     3. Rather than a bit-at-a-time adjustment of the binary
                     74:  *             result in the hard case, we use floating-point
                     75:  *             arithmetic to determine the adjustment to within
                     76:  *             one bit; only in really hard cases do we need to
                     77:  *             compute a second residual.
                     78:  *     4. Because of 3., we don't need a large table of powers of 10
                     79:  *             for ten-to-e (just some small tables, e.g. of 10^k
                     80:  *             for 0 <= k <= 22).
                     81:  */
                     82:
                     83: /*
                     84:  * #define IEEE_8087 for IEEE-arithmetic machines where the least
                     85:  *     significant byte has the lowest address.
                     86:  * #define IEEE_MC68k for IEEE-arithmetic machines where the most
                     87:  *     significant byte has the lowest address.
                     88:  * #define Long int on machines with 32-bit ints and 64-bit longs.
                     89:  * #define Sudden_Underflow for IEEE-format machines without gradual
                     90:  *     underflow (i.e., that flush to zero on underflow).
                     91:  * #define IBM for IBM mainframe-style floating-point arithmetic.
                     92:  * #define VAX for VAX-style floating-point arithmetic (D_floating).
                     93:  * #define No_leftright to omit left-right logic in fast floating-point
                     94:  *     computation of dtoa.
                     95:  * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
                     96:  * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
                     97:  *     that use extended-precision instructions to compute rounded
                     98:  *     products and quotients) with IBM.
                     99:  * #define ROUND_BIASED for IEEE-format with biased rounding.
                    100:  * #define Inaccurate_Divide for IEEE-format with correctly rounded
                    101:  *     products but inaccurate quotients, e.g., for Intel i860.
                    102:  * #define NO_LONG_LONG on machines that do not have a "long long"
                    103:  *     integer type (of >= 64 bits).  On such machines, you can
                    104:  *     #define Just_16 to store 16 bits per 32-bit Long when doing
                    105:  *     high-precision integer arithmetic.  Whether this speeds things
                    106:  *     up or slows things down depends on the machine and the number
                    107:  *     being converted.  If long long is available and the name is
                    108:  *     something other than "long long", #define Llong to be the name,
                    109:  *     and if "unsigned Llong" does not work as an unsigned version of
                    110:  *     Llong, #define #ULLong to be the corresponding unsigned type.
                    111:  * #define KR_headers for old-style C function headers.
                    112:  * #define Bad_float_h if your system lacks a float.h or if it does not
                    113:  *     define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
                    114:  *     FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
                    115:  * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
                    116:  *     if memory is available and otherwise does something you deem
                    117:  *     appropriate.  If MALLOC is undefined, malloc will be invoked
                    118:  *     directly -- and assumed always to succeed.
                    119:  * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
                    120:  *     memory allocations from a private pool of memory when possible.
                    121:  *     When used, the private pool is PRIVATE_MEM bytes long:  2304 bytes,
                    122:  *     unless #defined to be a different length.  This default length
                    123:  *     suffices to get rid of MALLOC calls except for unusual cases,
                    124:  *     such as decimal-to-binary conversion of a very long string of
                    125:  *     digits.  When converting IEEE double precision values, the
                    126:  *     longest string gdtoa can return is about 751 bytes long.  For
                    127:  *     conversions by strtod of strings of 800 digits and all gdtoa
                    128:  *     conversions of IEEE doubles in single-threaded executions with
                    129:  *     8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
                    130:  *     4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
                    131:  * #define INFNAN_CHECK on IEEE systems to cause strtod to check for
                    132:  *     Infinity and NaN (case insensitively).
                    133:  *     When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
                    134:  *     strtodg also accepts (case insensitively) strings of the form
                    135:  *     NaN(x), where x is a string of hexadecimal digits and spaces;
                    136:  *     if there is only one string of hexadecimal digits, it is taken
                    137:  *     for the fraction bits of the resulting NaN; if there are two or
                    138:  *     more strings of hexadecimal digits, each string is assigned
                    139:  *     to the next available sequence of 32-bit words of fractions
                    140:  *     bits (starting with the most significant), right-aligned in
                    141:  *     each sequence.
                    142:  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
                    143:  *     multiple threads.  In this case, you must provide (or suitably
                    144:  *     #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
                    145:  *     by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
                    146:  *     in pow5mult, ensures lazy evaluation of only one copy of high
                    147:  *     powers of 5; omitting this lock would introduce a small
                    148:  *     probability of wasting memory, but would otherwise be harmless.)
                    149:  *     You must also invoke freedtoa(s) to free the value s returned by
                    150:  *     dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
                    151:  * #define IMPRECISE_INEXACT if you do not care about the setting of
                    152:  *     the STRTOG_Inexact bits in the special case of doing IEEE double
                    153:  *     precision conversions (which could also be done by the strtog in
                    154:  *     dtoa.c).
                    155:  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
                    156:  *     floating-point constants.
                    157:  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
                    158:  *     strtodg.c).
                    159:  * #define NO_STRING_H to use private versions of memcpy.
                    160:  *     On some K&R systems, it may also be necessary to
                    161:  *     #define DECLARE_SIZE_T in this case.
                    162:  * #define YES_ALIAS to permit aliasing certain double values with
                    163:  *     arrays of ULongs.  This leads to slightly better code with
                    164:  *     some compilers and was always used prior to 19990916, but it
                    165:  *     is not strictly legal and can cause trouble with aggressively
                    166:  *     optimizing compilers (e.g., gcc 2.95.1 under -O2).
                    167:  * #define USE_LOCALE to use the current locale's decimal_point value.
                    168:  */
                    169:
                    170: #ifndef GDTOAIMP_H_INCLUDED
                    171: #define GDTOAIMP_H_INCLUDED
                    172: #include "gdtoa.h"
                    173: #include "gd_qnan.h"
                    174:
                    175: #ifdef DEBUG
                    176: #include "stdio.h"
                    177: #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
                    178: #endif
                    179:
                    180: #include "stdlib.h"
                    181: #include "string.h"
                    182:
                    183: #ifdef KR_headers
                    184: #define Char char
                    185: #else
                    186: #define Char void
                    187: #endif
                    188:
                    189: #ifdef MALLOC
                    190: extern Char *MALLOC ANSI((size_t));
                    191: #else
                    192: #define MALLOC malloc
                    193: #endif
                    194:
                    195: #undef IEEE_Arith
                    196: #undef Avoid_Underflow
                    197: #ifdef IEEE_MC68k
                    198: #define IEEE_Arith
                    199: #endif
                    200: #ifdef IEEE_8087
                    201: #define IEEE_Arith
                    202: #endif
                    203:
                    204: #include "errno.h"
                    205: #ifdef Bad_float_h
                    206:
                    207: #ifdef IEEE_Arith
                    208: #define DBL_DIG 15
                    209: #define DBL_MAX_10_EXP 308
                    210: #define DBL_MAX_EXP 1024
                    211: #define FLT_RADIX 2
                    212: #define DBL_MAX 1.7976931348623157e+308
                    213: #endif
                    214:
                    215: #ifdef IBM
                    216: #define DBL_DIG 16
                    217: #define DBL_MAX_10_EXP 75
                    218: #define DBL_MAX_EXP 63
                    219: #define FLT_RADIX 16
                    220: #define DBL_MAX 7.2370055773322621e+75
                    221: #endif
                    222:
                    223: #ifdef VAX
                    224: #define DBL_DIG 16
                    225: #define DBL_MAX_10_EXP 38
                    226: #define DBL_MAX_EXP 127
                    227: #define FLT_RADIX 2
                    228: #define DBL_MAX 1.7014118346046923e+38
                    229: #define n_bigtens 2
                    230: #endif
                    231:
                    232: #ifndef LONG_MAX
                    233: #define LONG_MAX 2147483647
                    234: #endif
                    235:
                    236: #else /* ifndef Bad_float_h */
                    237: #include "float.h"
                    238: #endif /* Bad_float_h */
                    239:
                    240: #ifdef IEEE_Arith
                    241: #define Scale_Bit 0x10
                    242: #define n_bigtens 5
                    243: #endif
                    244:
                    245: #ifdef IBM
                    246: #define n_bigtens 3
                    247: #endif
                    248:
                    249: #ifdef VAX
                    250: #define n_bigtens 2
                    251: #endif
                    252:
                    253: #ifndef __MATH_H__
                    254: #include "math.h"
                    255: #endif
                    256:
                    257: #ifdef __cplusplus
                    258: extern "C" {
                    259: #endif
                    260:
                    261: #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
                    262: Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
                    263: #endif
                    264:
                    265: typedef union { double d; ULong L[2]; } U;
                    266:
                    267: #ifdef YES_ALIAS
                    268: #define dval(x) x
                    269: #ifdef IEEE_8087
                    270: #define word0(x) ((ULong *)&x)[1]
                    271: #define word1(x) ((ULong *)&x)[0]
                    272: #else
                    273: #define word0(x) ((ULong *)&x)[0]
                    274: #define word1(x) ((ULong *)&x)[1]
                    275: #endif
                    276: #else /* !YES_ALIAS */
                    277: #ifdef IEEE_8087
                    278: #define word0(x) ((U*)&x)->L[1]
                    279: #define word1(x) ((U*)&x)->L[0]
                    280: #else
                    281: #define word0(x) ((U*)&x)->L[0]
                    282: #define word1(x) ((U*)&x)->L[1]
                    283: #endif
                    284: #define dval(x) ((U*)&x)->d
                    285: #endif /* YES_ALIAS */
                    286:
                    287: /* The following definition of Storeinc is appropriate for MIPS processors.
                    288:  * An alternative that might be better on some machines is
                    289:  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
                    290:  */
                    291: #if defined(IEEE_8087) + defined(VAX)
                    292: #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
                    293: ((unsigned short *)a)[0] = (unsigned short)c, a++)
                    294: #else
                    295: #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
                    296: ((unsigned short *)a)[1] = (unsigned short)c, a++)
                    297: #endif
                    298:
                    299: /* #define P DBL_MANT_DIG */
                    300: /* Ten_pmax = floor(P*log(2)/log(5)) */
                    301: /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
                    302: /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
                    303: /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
                    304:
                    305: #ifdef IEEE_Arith
                    306: #define Exp_shift  20
                    307: #define Exp_shift1 20
                    308: #define Exp_msk1    0x100000
                    309: #define Exp_msk11   0x100000
                    310: #define Exp_mask  0x7ff00000
                    311: #define P 53
                    312: #define Bias 1023
                    313: #define Emin (-1022)
                    314: #define Exp_1  0x3ff00000
                    315: #define Exp_11 0x3ff00000
                    316: #define Ebits 11
                    317: #define Frac_mask  0xfffff
                    318: #define Frac_mask1 0xfffff
                    319: #define Ten_pmax 22
                    320: #define Bletch 0x10
                    321: #define Bndry_mask  0xfffff
                    322: #define Bndry_mask1 0xfffff
                    323: #define LSB 1
                    324: #define Sign_bit 0x80000000
                    325: #define Log2P 1
                    326: #define Tiny0 0
                    327: #define Tiny1 1
                    328: #define Quick_max 14
                    329: #define Int_max 14
                    330:
                    331: #ifndef Flt_Rounds
                    332: #ifdef FLT_ROUNDS
                    333: #define Flt_Rounds FLT_ROUNDS
                    334: #else
                    335: #define Flt_Rounds 1
                    336: #endif
                    337: #endif /*Flt_Rounds*/
                    338:
                    339: #else /* ifndef IEEE_Arith */
                    340: #undef  Sudden_Underflow
                    341: #define Sudden_Underflow
                    342: #ifdef IBM
                    343: #undef Flt_Rounds
                    344: #define Flt_Rounds 0
                    345: #define Exp_shift  24
                    346: #define Exp_shift1 24
                    347: #define Exp_msk1   0x1000000
                    348: #define Exp_msk11  0x1000000
                    349: #define Exp_mask  0x7f000000
                    350: #define P 14
                    351: #define Bias 65
                    352: #define Exp_1  0x41000000
                    353: #define Exp_11 0x41000000
                    354: #define Ebits 8        /* exponent has 7 bits, but 8 is the right value in b2d */
                    355: #define Frac_mask  0xffffff
                    356: #define Frac_mask1 0xffffff
                    357: #define Bletch 4
                    358: #define Ten_pmax 22
                    359: #define Bndry_mask  0xefffff
                    360: #define Bndry_mask1 0xffffff
                    361: #define LSB 1
                    362: #define Sign_bit 0x80000000
                    363: #define Log2P 4
                    364: #define Tiny0 0x100000
                    365: #define Tiny1 0
                    366: #define Quick_max 14
                    367: #define Int_max 15
                    368: #else /* VAX */
                    369: #undef Flt_Rounds
                    370: #define Flt_Rounds 1
                    371: #define Exp_shift  23
                    372: #define Exp_shift1 7
                    373: #define Exp_msk1    0x80
                    374: #define Exp_msk11   0x800000
                    375: #define Exp_mask  0x7f80
                    376: #define P 56
                    377: #define Bias 129
                    378: #define Exp_1  0x40800000
                    379: #define Exp_11 0x4080
                    380: #define Ebits 8
                    381: #define Frac_mask  0x7fffff
                    382: #define Frac_mask1 0xffff007f
                    383: #define Ten_pmax 24
                    384: #define Bletch 2
                    385: #define Bndry_mask  0xffff007f
                    386: #define Bndry_mask1 0xffff007f
                    387: #define LSB 0x10000
                    388: #define Sign_bit 0x8000
                    389: #define Log2P 1
                    390: #define Tiny0 0x80
                    391: #define Tiny1 0
                    392: #define Quick_max 15
                    393: #define Int_max 15
                    394: #endif /* IBM, VAX */
                    395: #endif /* IEEE_Arith */
                    396:
                    397: #ifndef IEEE_Arith
                    398: #define ROUND_BIASED
                    399: #endif
                    400:
                    401: #ifdef RND_PRODQUOT
                    402: #define rounded_product(a,b) a = rnd_prod(a, b)
                    403: #define rounded_quotient(a,b) a = rnd_quot(a, b)
                    404: #ifdef KR_headers
                    405: extern double rnd_prod(), rnd_quot();
                    406: #else
                    407: extern double rnd_prod(double, double), rnd_quot(double, double);
                    408: #endif
                    409: #else
                    410: #define rounded_product(a,b) a *= b
                    411: #define rounded_quotient(a,b) a /= b
                    412: #endif
                    413:
                    414: #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
                    415: #define Big1 0xffffffff
                    416:
                    417: #undef  Pack_16
                    418: #ifndef Pack_32
                    419: #define Pack_32
                    420: #endif
                    421:
                    422: #ifdef NO_LONG_LONG
                    423: #undef ULLong
                    424: #ifdef Just_16
                    425: #undef Pack_32
                    426: #define Pack_16
                    427: /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
                    428:  * This makes some inner loops simpler and sometimes saves work
                    429:  * during multiplications, but it often seems to make things slightly
                    430:  * slower.  Hence the default is now to store 32 bits per Long.
                    431:  */
                    432: #endif
                    433: #else  /* long long available */
                    434: #ifndef Llong
                    435: #define Llong long long
                    436: #endif
                    437: #ifndef ULLong
                    438: #define ULLong unsigned Llong
                    439: #endif
                    440: #endif /* NO_LONG_LONG */
                    441:
                    442: #ifdef Pack_32
                    443: #define ULbits 32
                    444: #define kshift 5
                    445: #define kmask 31
                    446: #define ALL_ON 0xffffffff
                    447: #else
                    448: #define ULbits 16
                    449: #define kshift 4
                    450: #define kmask 15
                    451: #define ALL_ON 0xffff
                    452: #endif
                    453:
                    454: #ifndef MULTIPLE_THREADS
                    455: #define ACQUIRE_DTOA_LOCK(n)   /*nothing*/
                    456: #define FREE_DTOA_LOCK(n)      /*nothing*/
                    457: #endif
                    458:
                    459: #define Kmax 15
                    460:
                    461:  struct
                    462: Bigint {
                    463:        struct Bigint *next;
                    464:        int k, maxwds, sign, wds;
                    465:        ULong x[1];
                    466:        };
                    467:
                    468:  typedef struct Bigint Bigint;
                    469:
                    470: #ifdef NO_STRING_H
                    471: #ifdef DECLARE_SIZE_T
                    472: typedef unsigned int size_t;
                    473: #endif
                    474: extern void memcpy_D2A ANSI((void*, const void*, size_t));
                    475: #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
                    476: #else /* !NO_STRING_H */
                    477: #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
                    478: #endif /* NO_STRING_H */
                    479:
                    480: #define Balloc Balloc_D2A
                    481: #define Bfree Bfree_D2A
                    482: #define ULtoQ ULtoQ_D2A
                    483: #define ULtof ULtof_D2A
                    484: #define ULtod ULtod_D2A
                    485: #define ULtodd ULtodd_D2A
                    486: #define ULtox ULtox_D2A
                    487: #define ULtoxL ULtoxL_D2A
                    488: #define any_on any_on_D2A
                    489: #define b2d b2d_D2A
                    490: #define bigtens bigtens_D2A
                    491: #define cmp cmp_D2A
                    492: #define copybits copybits_D2A
                    493: #define d2b d2b_D2A
                    494: #define decrement decrement_D2A
                    495: #define diff diff_D2A
                    496: #define dtoa_result dtoa_result_D2A
                    497: #define g__fmt g__fmt_D2A
                    498: #define gethex gethex_D2A
                    499: #define hexdig hexdig_D2A
                    500: #define hexnan hexnan_D2A
                    501: #define hi0bits(x) hi0bits_D2A((ULong)(x))
                    502: #define i2b i2b_D2A
                    503: #define increment increment_D2A
                    504: #define lo0bits lo0bits_D2A
                    505: #define lshift lshift_D2A
                    506: #define match match_D2A
                    507: #define mult mult_D2A
                    508: #define multadd multadd_D2A
                    509: #define nrv_alloc nrv_alloc_D2A
                    510: #define pow5mult pow5mult_D2A
                    511: #define quorem quorem_D2A
                    512: #define ratio ratio_D2A
                    513: #define rshift rshift_D2A
                    514: #define rv_alloc rv_alloc_D2A
                    515: #define s2b s2b_D2A
                    516: #define set_ones set_ones_D2A
                    517: #define strcp strcp_D2A
                    518: #define strtoIg strtoIg_D2A
                    519: #define sum sum_D2A
                    520: #define tens tens_D2A
                    521: #define tinytens tinytens_D2A
                    522: #define tinytens tinytens_D2A
                    523: #define trailz trailz_D2A
                    524: #define ulp ulp_D2A
                    525:
                    526:  extern char *dtoa_result;
                    527:  extern CONST double bigtens[], tens[], tinytens[];
                    528:  extern unsigned char hexdig[];
                    529:
                    530:  extern Bigint *Balloc ANSI((int));
                    531:  extern void Bfree ANSI((Bigint*));
                    532:  extern void ULtof ANSI((ULong*, ULong*, Long, int));
                    533:  extern void ULtod ANSI((ULong*, ULong*, Long, int));
                    534:  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
                    535:  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
                    536:  extern void ULtox ANSI((UShort*, ULong*, Long, int));
                    537:  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
                    538:  extern ULong any_on ANSI((Bigint*, int));
                    539:  extern double b2d ANSI((Bigint*, int*));
                    540:  extern int cmp ANSI((Bigint*, Bigint*));
                    541:  extern void copybits ANSI((ULong*, int, Bigint*));
                    542:  extern Bigint *d2b ANSI((double, int*, int*));
                    543:  extern int decrement ANSI((Bigint*));
                    544:  extern Bigint *diff ANSI((Bigint*, Bigint*));
                    545:  extern char *dtoa ANSI((double d, int mode, int ndigits,
                    546:                        int *decpt, int *sign, char **rve));
                    547:  extern char *g__fmt ANSI((char*, char*, char*, int, ULong));
                    548:  extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
                    549:  extern void hexdig_init_D2A(Void);
                    550:  extern int hexnan ANSI((CONST char**, FPI*, ULong*));
                    551:  extern int hi0bits_D2A ANSI((ULong));
                    552:  extern Bigint *i2b ANSI((int));
                    553:  extern Bigint *increment ANSI((Bigint*));
                    554:  extern int lo0bits ANSI((ULong*));
                    555:  extern Bigint *lshift ANSI((Bigint*, int));
                    556:  extern int match ANSI((CONST char**, char*));
                    557:  extern Bigint *mult ANSI((Bigint*, Bigint*));
                    558:  extern Bigint *multadd ANSI((Bigint*, int, int));
                    559:  extern char *nrv_alloc ANSI((char*, char **, int));
                    560:  extern Bigint *pow5mult ANSI((Bigint*, int));
                    561:  extern int quorem ANSI((Bigint*, Bigint*));
                    562:  extern double ratio ANSI((Bigint*, Bigint*));
                    563:  extern void rshift ANSI((Bigint*, int));
                    564:  extern char *rv_alloc ANSI((int));
                    565:  extern Bigint *s2b ANSI((CONST char*, int, int, ULong));
                    566:  extern Bigint *set_ones ANSI((Bigint*, int));
                    567:  extern char *strcp ANSI((char*, const char*));
                    568:  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
                    569:  extern double strtod ANSI((const char *s00, char **se));
                    570:  extern Bigint *sum ANSI((Bigint*, Bigint*));
                    571:  extern int trailz ANSI((Bigint*));
                    572:  extern double ulp ANSI((double));
                    573:
                    574: #ifdef __cplusplus
                    575: }
                    576: #endif
                    577: /*
                    578:  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
                    579:  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
                    580:  * respectively), but now are determined by compiling and running
                    581:  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
                    582:  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
                    583:  * and -DNAN_WORD1=...  values if necessary.  This should still work.
                    584:  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
                    585:  */
                    586: #ifdef IEEE_Arith
                    587: #ifdef IEEE_MC68k
                    588: #define _0 0
                    589: #define _1 1
                    590: #ifndef NAN_WORD0
                    591: #define NAN_WORD0 d_QNAN0
                    592: #endif
                    593: #ifndef NAN_WORD1
                    594: #define NAN_WORD1 d_QNAN1
                    595: #endif
                    596: #else
                    597: #define _0 1
                    598: #define _1 0
                    599: #ifndef NAN_WORD0
                    600: #define NAN_WORD0 d_QNAN1
                    601: #endif
                    602: #ifndef NAN_WORD1
                    603: #define NAN_WORD1 d_QNAN0
                    604: #endif
                    605: #endif
                    606: #else
                    607: #undef INFNAN_CHECK
                    608: #endif
                    609:
                    610: #undef SI
                    611: #ifdef Sudden_Underflow
                    612: #define SI 1
                    613: #else
                    614: #define SI 0
                    615: #endif
                    616:
                    617: #endif /* GDTOAIMP_H_INCLUDED */

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