1:     2:     3:     4:     5:     6:     7:     8:     9:    10:    11:    12:    13:    14:    15:    16:    17:    18:    19:    20:    21:    22:    23:    24:    25:    26:    27: 
   28: 
   29:    30:    31:    32:    33:    34:    35:    36:    37:    38: 
   39: 
   40:    41:    42:    43:    44:    45:    46:    47:    48:    49: 
   50: 
   51:    52:    53:    54:    55:    56:    57:    58:    59:    60:    61:    62:    63:    64:    65:    66:    67:    68:    69:    70:    71:    72:    73:    74:    75:    76:    77:    78:    79: 
   80: 
   81:    82:    83:    84:    85:    86:    87:    88:    89:    90:    91:    92:    93:    94:    95:    96:    97:    98:    99:   100:   101:   102:   103:   104:   105:   106:   107:   108:   109:   110:   111:   112:   113:   114:   115:   116:   117:   118:   119:   120:   121:   122:   123:   124:   125:   126:   127:   128:   129:   130:   131:   132:   133:   134:   135:   136:   137:   138:   139:   140:   141:   142:   143:   144:   145:   146:   147:   148:   149:   150:   151:   152:   153:   154:   155:   156:   157:   158:   159:   160:   161:   162:   163:   164:   165:   166:   167:   168:   169:   170:   171:   172:   173:   174:   175:   176:   177: 
  178: 
  179: #ifndef GDTOAIMP_H_INCLUDED
  180: #define GDTOAIMP_H_INCLUDED
  181: #include "gdtoa.h"
  182: #include "gd_qnan.h"
  183: #ifdef Honor_FLT_ROUNDS
  184: #include <fenv.h>
  185: #endif
  186: 
  187: #ifdef DEBUG
  188: #include "stdio.h"
  189: #include "stdlib.h"
  190: #define Bug(x) {fprintf(stderr, "%s\n", x); abort();}
  191: #endif
  192: 
  193: #include "stdlib.h"
  194: #include "string.h"
  195: 
  196: #ifdef KR_headers
  197: #define Char char
  198: #else
  199: #define Char void
  200: #endif
  201: 
  202: #ifdef MALLOC
  203: extern Char *MALLOC ANSI((size_t));
  204: #else
  205: #define MALLOC malloc
  206: #endif
  207: 
  208: #undef IEEE_Arith
  209: #undef Avoid_Underflow
  210: #ifdef IEEE_MC68k
  211: #define IEEE_Arith
  212: #endif
  213: #ifdef IEEE_8087
  214: #define IEEE_Arith
  215: #endif
  216: 
  217: #include "errno.h"
  218: #ifdef Bad_float_h
  219: 
  220: #ifdef IEEE_Arith
  221: #define DBL_DIG 15
  222: #define DBL_MAX_10_EXP 308
  223: #define DBL_MAX_EXP 1024
  224: #define FLT_RADIX 2
  225: #define DBL_MAX 1.7976931348623157e+308
  226: #endif
  227: 
  228: #ifdef IBM
  229: #define DBL_DIG 16
  230: #define DBL_MAX_10_EXP 75
  231: #define DBL_MAX_EXP 63
  232: #define FLT_RADIX 16
  233: #define DBL_MAX 7.2370055773322621e+75
  234: #endif
  235: 
  236: #ifdef VAX
  237: #define DBL_DIG 16
  238: #define DBL_MAX_10_EXP 38
  239: #define DBL_MAX_EXP 127
  240: #define FLT_RADIX 2
  241: #define DBL_MAX 1.7014118346046923e+38
  242: #define n_bigtens 2
  243: #endif
  244: 
  245: #ifndef LONG_MAX
  246: #define LONG_MAX 2147483647
  247: #endif
  248: 
  249: #else 
  250: #include "float.h"
  251: #endif 
  252: 
  253: #ifdef IEEE_Arith
  254: #define Scale_Bit 0x10
  255: #define n_bigtens 5
  256: #endif
  257: 
  258: #ifdef IBM
  259: #define n_bigtens 3
  260: #endif
  261: 
  262: #ifdef VAX
  263: #define n_bigtens 2
  264: #endif
  265: 
  266: #ifndef __MATH_H__
  267: #include "math.h"
  268: #endif
  269: 
  270: #ifdef __cplusplus
  271: extern "C" {
  272: #endif
  273: 
  274: #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
  275: Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
  276: #endif
  277: 
  278: typedef union { double d; ULong L[2]; } U;
  279: 
  280: #if defined(IEEE_8087) && _BYTE_ORDER != _BIG_ENDIAN
  281: #define word0(x) (x)->L[1]
  282: #define word1(x) (x)->L[0]
  283: #else
  284: #define word0(x) (x)->L[0]
  285: #define word1(x) (x)->L[1]
  286: #endif
  287: #define dval(x) (x)->d
  288: 
  289:   290:   291:   292: 
  293: #if ( defined(IEEE_8087) + defined(VAX) ) && _BYTE_ORDER != _BIG_ENDIAN
  294: #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
  295: ((unsigned short *)a)[0] = (unsigned short)c, a++)
  296: #else
  297: #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
  298: ((unsigned short *)a)[1] = (unsigned short)c, a++)
  299: #endif
  300: 
  301: 
  302: 
  303: 
  304: 
  305: 
  306: 
  307: #ifdef IEEE_Arith
  308: #define Exp_shift  20
  309: #define Exp_shift1 20
  310: #define Exp_msk1    0x100000
  311: #define Exp_msk11   0x100000
  312: #define Exp_mask  0x7ff00000
  313: #define P 53
  314: #define Bias 1023
  315: #define Emin (-1022)
  316: #define Exp_1  0x3ff00000
  317: #define Exp_11 0x3ff00000
  318: #define Ebits 11
  319: #define Frac_mask  0xfffff
  320: #define Frac_mask1 0xfffff
  321: #define Ten_pmax 22
  322: #define Bletch 0x10
  323: #define Bndry_mask  0xfffff
  324: #define Bndry_mask1 0xfffff
  325: #define LSB 1
  326: #define Sign_bit 0x80000000
  327: #define Log2P 1
  328: #define Tiny0 0
  329: #define Tiny1 1
  330: #define Quick_max 14
  331: #define Int_max 14
  332: 
  333: #ifndef Flt_Rounds
  334: #ifdef FLT_ROUNDS
  335: #define Flt_Rounds FLT_ROUNDS
  336: #else
  337: #define Flt_Rounds 1
  338: #endif
  339: #endif 
  340: 
  341: #else 
  342: #undef  Sudden_Underflow
  343: #define Sudden_Underflow
  344: #ifdef IBM
  345: #undef Flt_Rounds
  346: #define Flt_Rounds 0
  347: #define Exp_shift  24
  348: #define Exp_shift1 24
  349: #define Exp_msk1   0x1000000
  350: #define Exp_msk11  0x1000000
  351: #define Exp_mask  0x7f000000
  352: #define P 14
  353: #define Bias 65
  354: #define Exp_1  0x41000000
  355: #define Exp_11 0x41000000
  356: #define Ebits 8 
  357: #define Frac_mask  0xffffff
  358: #define Frac_mask1 0xffffff
  359: #define Bletch 4
  360: #define Ten_pmax 22
  361: #define Bndry_mask  0xefffff
  362: #define Bndry_mask1 0xffffff
  363: #define LSB 1
  364: #define Sign_bit 0x80000000
  365: #define Log2P 4
  366: #define Tiny0 0x100000
  367: #define Tiny1 0
  368: #define Quick_max 14
  369: #define Int_max 15
  370: #else 
  371: #undef Flt_Rounds
  372: #define Flt_Rounds 1
  373: #define Exp_shift  23
  374: #define Exp_shift1 7
  375: #define Exp_msk1    0x80
  376: #define Exp_msk11   0x800000
  377: #define Exp_mask  0x7f80
  378: #define P 56
  379: #define Bias 129
  380: #define Emin (-127)
  381: #define Exp_1  0x40800000
  382: #define Exp_11 0x4080
  383: #define Ebits 8
  384: #define Frac_mask  0x7fffff
  385: #define Frac_mask1 0xffff007f
  386: #define Ten_pmax 24
  387: #define Bletch 2
  388: #define Bndry_mask  0xffff007f
  389: #define Bndry_mask1 0xffff007f
  390: #define LSB 0x10000
  391: #define Sign_bit 0x8000
  392: #define Log2P 1
  393: #define Tiny0 0x80
  394: #define Tiny1 0
  395: #define Quick_max 15
  396: #define Int_max 15
  397: #endif 
  398: #endif 
  399: 
  400: #ifndef IEEE_Arith
  401: #define ROUND_BIASED
  402: #else
  403: #ifdef ROUND_BIASED_without_Round_Up
  404: #undef  ROUND_BIASED
  405: #define ROUND_BIASED
  406: #endif
  407: #endif
  408: 
  409: #ifdef RND_PRODQUOT
  410: #define rounded_product(a,b) a = rnd_prod(a, b)
  411: #define rounded_quotient(a,b) a = rnd_quot(a, b)
  412: #ifdef KR_headers
  413: extern double rnd_prod(), rnd_quot();
  414: #else
  415: extern double rnd_prod(double, double), rnd_quot(double, double);
  416: #endif
  417: #else
  418: #define rounded_product(a,b) a *= b
  419: #define rounded_quotient(a,b) a /= b
  420: #endif
  421: 
  422: #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
  423: #define Big1 0xffffffff
  424: 
  425: #undef  Pack_16
  426: #ifndef Pack_32
  427: #define Pack_32
  428: #endif
  429: 
  430: #ifdef NO_LONG_LONG
  431: #undef ULLong
  432: #ifdef Just_16
  433: #undef Pack_32
  434: #define Pack_16
  435:   436:   437:   438:   439: 
  440: #endif
  441: #else   
  442: #ifndef Llong
  443: #define Llong long long
  444: #endif
  445: #ifndef ULLong
  446: #define ULLong unsigned Llong
  447: #endif
  448: #endif 
  449: 
  450: #ifdef Pack_32
  451: #define ULbits 32
  452: #define kshift 5
  453: #define kmask 31
  454: #define ALL_ON 0xffffffff
  455: #else
  456: #define ULbits 16
  457: #define kshift 4
  458: #define kmask 15
  459: #define ALL_ON 0xffff
  460: #endif
  461: 
  462: #ifndef MULTIPLE_THREADS
  463: #define ACQUIRE_DTOA_LOCK(n)    
  464: #define FREE_DTOA_LOCK(n)       
  465: #else
  466: #include "thread_private.h"
  467: extern void *__dtoa_locks[];
  468: #define ACQUIRE_DTOA_LOCK(n)    _MUTEX_LOCK(&__dtoa_locks[n])
  469: #define FREE_DTOA_LOCK(n)       _MUTEX_UNLOCK(&__dtoa_locks[n])
  470: #endif
  471: 
  472: #define Kmax 9
  473: 
  474:  struct
  475: Bigint {
  476:         struct Bigint *next;
  477:         int k, maxwds, sign, wds;
  478:         ULong x[1];
  479:         };
  480: 
  481:  typedef struct Bigint Bigint;
  482: 
  483: #ifdef NO_STRING_H
  484: #ifdef DECLARE_SIZE_T
  485: typedef unsigned int size_t;
  486: #endif
  487: extern void memcpy_D2A ANSI((void*, const void*, size_t));
  488: #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
  489: #else 
  490: #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
  491: #endif 
  492: 
  493: #define dtoa __dtoa
  494: #define gdtoa __gdtoa
  495: #define freedtoa __freedtoa
  496: #define strtodg __strtodg
  497: #define g_ddfmt __g_ddfmt
  498: #define g_dfmt __g_dfmt
  499: #define g_ffmt __g_ffmt
  500: #define g_Qfmt __g_Qfmt
  501: #define g_xfmt __g_xfmt
  502: #define g_xLfmt __g_xLfmt
  503: #define strtoId __strtoId
  504: #define strtoIdd __strtoIdd
  505: #define strtoIf __strtoIf
  506: #define strtoIQ __strtoIQ
  507: #define strtoIx __strtoIx
  508: #define strtoIxL __strtoIxL
  509: #define strtord __strtord
  510: #define strtordd __strtordd
  511: #define strtorf __strtorf
  512: #define strtorQ __strtorQ
  513: #define strtorx __strtorx
  514: #define strtorxL __strtorxL
  515: #define strtodI __strtodI
  516: #define strtopd __strtopd
  517: #define strtopdd __strtopdd
  518: #define strtopf __strtopf
  519: #define strtopQ __strtopQ
  520: #define strtopx __strtopx
  521: #define strtopxL __strtopxL
  522: 
  523: #define Balloc __Balloc_D2A
  524: #define Bfree __Bfree_D2A
  525: #define ULtoQ __ULtoQ_D2A
  526: #define ULtof __ULtof_D2A
  527: #define ULtod __ULtod_D2A
  528: #define ULtodd __ULtodd_D2A
  529: #define ULtox __ULtox_D2A
  530: #define ULtoxL __ULtoxL_D2A
  531: #define any_on __any_on_D2A
  532: #define b2d __b2d_D2A
  533: #define bigtens __bigtens_D2A
  534: #define cmp __cmp_D2A
  535: #define copybits __copybits_D2A
  536: #define d2b __d2b_D2A
  537: #define decrement __decrement_D2A
  538: #define diff __diff_D2A
  539: #define dtoa_result __dtoa_result_D2A
  540: #define g__fmt __g__fmt_D2A
  541: #define gethex __gethex_D2A
  542: #define hexdig __hexdig_D2A
  543: #define hexnan __hexnan_D2A
  544: #define hi0bits(x) __hi0bits_D2A((ULong)(x))
  545: #define hi0bits_D2A __hi0bits_D2A
  546: #define i2b __i2b_D2A
  547: #define increment __increment_D2A
  548: #define lo0bits __lo0bits_D2A
  549: #define lshift __lshift_D2A
  550: #define match __match_D2A
  551: #define mult __mult_D2A
  552: #define multadd __multadd_D2A
  553: #define nrv_alloc __nrv_alloc_D2A
  554: #define pow5mult __pow5mult_D2A
  555: #define quorem __quorem_D2A
  556: #define ratio __ratio_D2A
  557: #define rshift __rshift_D2A
  558: #define rv_alloc __rv_alloc_D2A
  559: #define s2b __s2b_D2A
  560: #define set_ones __set_ones_D2A
  561: #define strcp __strcp_D2A
  562: #define strtoIg __strtoIg_D2A
  563: #define sulp __sulp_D2A
  564: #define sum __sum_D2A
  565: #define tens __tens_D2A
  566: #define tinytens __tinytens_D2A
  567: #define tinytens __tinytens_D2A
  568: #define trailz __trailz_D2A
  569: #define ulp __ulp_D2A
  570: 
  571:  extern char *dtoa_result;
  572:  extern CONST double bigtens[], tens[], tinytens[];
  573:  extern unsigned char hexdig[];
  574: 
  575:  extern Bigint *Balloc ANSI((int));
  576:  extern void Bfree ANSI((Bigint*));
  577:  extern void ULtof ANSI((ULong*, ULong*, Long, int));
  578:  extern void ULtod ANSI((ULong*, ULong*, Long, int));
  579:  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
  580:  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
  581:  extern void ULtox ANSI((UShort*, ULong*, Long, int));
  582:  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
  583:  extern ULong any_on ANSI((Bigint*, int));
  584:  extern double b2d ANSI((Bigint*, int*));
  585:  extern int cmp ANSI((Bigint*, Bigint*));
  586:  extern void copybits ANSI((ULong*, int, Bigint*));
  587:  extern Bigint *d2b ANSI((double, int*, int*));
  588:  extern void decrement ANSI((Bigint*));
  589:  extern Bigint *diff ANSI((Bigint*, Bigint*));
  590:  extern char *dtoa ANSI((double d, int mode, int ndigits,
  591:                         int *decpt, int *sign, char **rve));
  592:  extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
  593:  extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
  594:  extern void hexdig_init_D2A(Void);
  595:  extern int hexnan ANSI((CONST char**, FPI*, ULong*));
  596:  extern int hi0bits_D2A ANSI((ULong));
  597:  extern Bigint *i2b ANSI((int));
  598:  extern Bigint *increment ANSI((Bigint*));
  599:  extern int lo0bits ANSI((ULong*));
  600:  extern Bigint *lshift ANSI((Bigint*, int));
  601:  extern int match ANSI((CONST char**, char*));
  602:  extern Bigint *mult ANSI((Bigint*, Bigint*));
  603:  extern Bigint *multadd ANSI((Bigint*, int, int));
  604:  extern char *nrv_alloc ANSI((char*, char **, int));
  605:  extern Bigint *pow5mult ANSI((Bigint*, int));
  606:  extern int quorem ANSI((Bigint*, Bigint*));
  607:  extern double ratio ANSI((Bigint*, Bigint*));
  608:  extern void rshift ANSI((Bigint*, int));
  609:  extern char *rv_alloc ANSI((int));
  610:  extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int));
  611:  extern Bigint *set_ones ANSI((Bigint*, int));
  612:  extern char *strcp ANSI((char*, const char*));
  613:  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
  614:  extern double strtod ANSI((const char *s00, char **se));
  615:  extern Bigint *sum ANSI((Bigint*, Bigint*));
  616:  extern int trailz ANSI((Bigint*));
  617:  extern double ulp ANSI((U*));
  618: 
  619: #ifdef __cplusplus
  620: }
  621: #endif
  622:   623:   624:   625:   626:   627:   628:   629:   630: 
  631: #ifdef IEEE_Arith
  632: #ifndef NO_INFNAN_CHECK
  633: #undef INFNAN_CHECK
  634: #define INFNAN_CHECK
  635: #endif
  636: #ifdef IEEE_MC68k
  637: #define _0 0
  638: #define _1 1
  639: #ifndef NAN_WORD0
  640: #define NAN_WORD0 d_QNAN0
  641: #endif
  642: #ifndef NAN_WORD1
  643: #define NAN_WORD1 d_QNAN1
  644: #endif
  645: #else
  646: #define _0 1
  647: #define _1 0
  648: #ifndef NAN_WORD0
  649: #define NAN_WORD0 d_QNAN1
  650: #endif
  651: #ifndef NAN_WORD1
  652: #define NAN_WORD1 d_QNAN0
  653: #endif
  654: #endif
  655: #else
  656: #undef INFNAN_CHECK
  657: #endif
  658: 
  659: #undef SI
  660: #ifdef Sudden_Underflow
  661: #define SI 1
  662: #else
  663: #define SI 0
  664: #endif
  665: 
  666: #ifdef _T2EX
  667:   668: 
  669: #define Omit_Private_Memory
  670: #endif
  671: 
  672: #endif