Annotation of gcc/enquire.c, revision 1.1.1.2

1.1       root        1: /* Everything you wanted to know about your machine and C compiler,
                      2:    but didn't know who to ask. */
                      3: 
                      4: #ifndef VERSION
                      5: #define VERSION "4.3"
                      6: #endif
                      7: 
                      8: /* Author: Steven Pemberton, CWI, Amsterdam; [email protected]
                      9:    Bugfixes and upgrades gratefully received.
                     10: 
                     11:    Copyright (c) 1988, 1989, 1990 Steven Pemberton, CWI, Amsterdam.
                     12:    All rights reserved.
                     13: 
1.1.1.2 ! root       14:    Changes by Richard Stallman:
1.1       root       15:    Undef CHAR_BIT, etc., if defined in stdio.h, Richard Stallman, Aug 90.
                     16:    In EPROP, avoid a <= old if bad is set, Richard Stallman, May 91.
                     17:    Use gstddef.h, not stddef.h, Richard Stallman, Nov 91.
                     18:    Don't declare malloc, instead cast the value, Richard Stallman, Nov 91.
1.1.1.2 ! root       19:    Include sys/types.h before signal.h, Apr 92.
        !            20:    Support NO_LONG_DOUBLE_IO in f_define and f_rep; new fn fake_f_rep, Apr 92.
        !            21:    Enclose -f output in #ifndef _FLOAT_H___, Richard Stallman, May 92.
1.1       root       22: 
                     23:    COMPILING
                     24:    With luck and a following wind, just the following will work:
                     25:        cc enquire.c -o enquire
                     26:    You may get some messages about unreachable code, which you can ignore.
                     27: 
                     28:    If your compiler doesn't support:           add flag:
                     29:        signed char (eg pcc)                    -DNO_SC
                     30:        unsigned char                           -DNO_UC
                     31:        unsigned short and long                 -DNO_UI
                     32:        void                                    -DNO_VOID
                     33:        signal(), or setjmp/longjmp()           -DNO_SIG
1.1.1.2 ! root       34:        %Lf in printf                           -DNO_LONG_DOUBLE_IO
1.1       root       35: 
                     36:    Try to compile first with no flags, and see if you get any errors -
                     37:    you might be surprised. (Most non-ANSI compilers need -DNO_SC, though.)
                     38:    Some compilers need a -f flag for floating point.
                     39: 
                     40:    Don't use any optimisation flags: the program may not work if you do.
                     41:    Though "while (a+1.0-a-1.0 == 0.0)" may look like "while(1)" to an
                     42:    optimiser, to a floating-point unit there's a world of difference.
                     43: 
                     44:    Some compilers offer various flags for different floating point
                     45:    modes; it's worth trying all possible combinations of these.
                     46: 
                     47:    Add -DID=\"name\" if you want the machine/flags identified in the output.
                     48: 
                     49:    FAULTY COMPILERS
                     50:    Because of bugs and/or inadequacies, some compilers need the following
                     51:    defines:
                     52: 
                     53:    If your C preprocessor doesn't have the predefined __FILE__ macro, and
                     54:    you don't want to call this file enquire.c but, say, tell.c, add the
                     55:    flag -DFILENAME=\"tell.c\" .
                     56: 
                     57:    Some compilers won't accept the line "#include FILENAME".
                     58:    Add flag -DNO_FILE. In that case, this file *must* be called enquire.c.
                     59: 
                     60:    Some compilers can't cope with "#ifdef __FILE__". Use -DFILENAME=
                     61:    or -DNO_FILE as above.
                     62: 
                     63:    Some naughty compilers define __STDC__, but don't really support it.
                     64:    Some define it as 0, in which case we treat it as undefined.
                     65:    But if your compiler defines it, and isn't really ANSI C,
                     66:    add flag -DNO_STDC. (To those compiler writers: for shame).
                     67: 
                     68:    Some naughty compilers define __STDC__, but don't have the stddef.h
                     69:    include file. Add flag -DNO_STDDEF.
                     70: 
                     71:    Summary of naughty-compiler flags:
                     72:    If your compiler doesn't support:            add flag:
                     73:        __FILE__ (and you changed the filename) -DFILENAME=\"name.c\"
                     74:        #ifdef __FILE__                         -DNO_FILE or -DFILENAME=...
                     75:        #include FILENAME                       -DNO_FILE
                     76:        __STDC__ (properly)                     -DNO_STDC
                     77:        stddef.h                                -DNO_STDDEF
                     78: 
                     79:    Some systems crash when you try to malloc all store. To save users of
                     80:    such defective systems too much grief, they may compile with -DNO_MEM,
                     81:    which ignores that bit of the code.
                     82: 
                     83:    While it is not our policy to support defective compilers, pity has been
                     84:    taken on people with compilers that can't produce object files bigger than
                     85:    32k (especially since it was an easy addition). Compile the program
                     86:    into separate parts like this:
                     87:        cc -DSEP -DPASS0 -o p0.o <other flags> enquire.c
                     88:        cc -DSEP -DPASS1 -o p1.o <other flags> enquire.c
                     89:        cc -DSEP -DPASS2 -o p2.o <other flags> enquire.c
                     90:        cc -DSEP -DPASS3 -o p3.o <other flags> enquire.c
                     91:        cc -o enquire p0.o p1.o p2.o p3.o
                     92: 
                     93:    SYSTEM DEPENDENCIES
                     94:    You may possibly need to add some calls to signal() for other sorts of
                     95:    exception on your machine than SIGFPE, and SIGOVER. See lines beginning
                     96:    #ifdef SIGxxx in main() (and communicate the differences to me!).
                     97: 
                     98:    OUTPUT
                     99:    Run without argument to get the information as English text. If run
                    100:    with argument -l (e.g. enquire -l), output is a series of #define's for
                    101:    the ANSI standard limits.h include file, excluding MB_MAX_CHAR. If run
                    102:    with argument -f, output is a series of #define's for the ANSI standard
                    103:    float.h include file (according to ANSI C Draft of Dec 7, 1988).
                    104:    Flag -v gives verbose output: output includes the English text above
                    105:    as C comments. The program exit(0)'s if everything went ok, otherwise
                    106:    it exits with a positive number, telling how many problems there were.
                    107: 
                    108:    VERIFYING THE COMPILER
                    109:    If, having produced the float.h and limits.h header files, you want to
                    110:    verify that the compiler reads them back correctly (there are a lot of
                    111:    boundary cases, of course, like minimum and maximum numbers), you can
                    112:    recompile enquire.c with -DVERIFY set (plus the other flags that you used
                    113:    when compiling the version that produced the header files). This then
                    114:    recompiles the program so that it #includes "limits.h" and "float.h",
                    115:    and checks that the constants it finds there are the same as the
                    116:    constants it produces. Run the resulting program with enquire -fl.
                    117:    Very few compilers have passed without error.
                    118:    NB: You *must* recompile with the same compiler and flags, otherwise
                    119:    you may get odd results.
                    120: 
                    121:    You can also use this option if your compiler already has both files,
                    122:    and you want to confirm that this program produces the right results.
                    123: 
                    124:    TROUBLESHOOTING.
                    125:    This program is now quite trustworthy, and suspicious and wrong output
                    126:    may well be caused by bugs in the compiler, not in the program (however
                    127:    of course, this is not guaranteed, and no responsibility can be
                    128:    accepted, etc.)
                    129: 
                    130:    The program only works if overflows are ignored by the C system or
                    131:    are catchable with signal().
                    132: 
                    133:    If the program fails to run to completion (often with the error message
                    134:    "Unexpected signal at point x"), this often turns out to be a bug in the
                    135:    C compiler's run-time system. Check what was about to be printed, and
                    136:    try to narrow the problem down.
                    137: 
                    138:    Another possible problem is that you have compiled the program to produce
                    139:    loss-of-precision arithmetic traps. The program cannot cope with these,
                    140:    and you should re-compile without them. (They should never be the default).
                    141: 
                    142:    Make sure you compiled with optimisation turned off.
                    143: 
                    144:    Output preceded by *** WARNING: identifies behaviour of the C system
                    145:    deemed incorrect by the program. Likely problems are that printf or
                    146:    scanf don't cope properly with certain boundary numbers: this program
                    147:    goes to a lot of trouble to calculate its values, and these values
                    148:    are mostly boundary numbers. Experience has shown that often printf
                    149:    cannot cope with these values, and so in an attempt to increase
                    150:    confidence in the output, for each float and double that is printed,
                    151:    the printed value is checked by using sscanf to read it back.
                    152:        Care is taken that numbers are printed with enough digits to uniquely
                    153:    identify them, and therefore that they can be read back identically.
                    154:    If the number read back is different, then there is probably a bug in
                    155:    printf or sscanf, and the program prints the warning message.
                    156:    If the two numbers in the warning look identical, then printf is more
                    157:    than likely rounding the last digit(s) incorrectly. To put you at ease
                    158:    that the two really are different, the bit patterns of the two numbers
                    159:    are also printed. The difference is very likely in the last bit.
                    160:        Many scanf's read the minimum double back as 0.0, and similarly cause
                    161:    overflow when reading the maximum double. This program quite ruthlessly
                    162:    declares all these behaviours faulty. The point is that if you get
                    163:    one of these warnings, the output may be wrong, so you should check
                    164:    the result carefully if you intend to use the results. Of course, printf
                    165:    and sscanf may both be wrong, and cancel each other out, so you should
                    166:    check the output carefully anyway.
                    167: 
                    168:    The warning that "a cast didn't work" refers to cases like this:
                    169: 
                    170:       float f;
                    171:       #define C 1.234567890123456789
                    172:       f= C;
                    173:       if (f != (float) C) printf ("Wrong!");
                    174: 
                    175:    A faulty compiler will widen f to double and ignore the cast to float,
                    176:    and because there is more accuracy in a double than a float, fail to
                    177:    recognise that they are the same. In the actual case in point, f and C
                    178:    are passed as parameters to a function that discovers they are not equal,
                    179:    so it's just possible that the error was in the parameter passing,
                    180:    not in the cast (see function Validate()).
                    181:    For ANSI C, which has float constants, the error message is "constant has
                    182:    wrong precision".
                    183: 
                    184:    REPORTING PROBLEMS
                    185:    If the program doesn't work for you for any reason that can't be
                    186:    narrowed down to a problem in the C compiler, or it has to be changed in
                    187:    order to get it to compile, or it produces suspicious output (like a very
                    188:    low maximum float, for instance), please mail the problem and an example
                    189:    of the incorrect output to [email protected] or ..!hp4nl!cwi.nl!steven, so that
                    190:    improvements can be worked into future versions; cwi.nl is the European
                    191:    backbone, and is connected to uunet and other fine hosts.
                    192: 
                    193:    The program tries to catch and diagnose bugs in the compiler/run-time
                    194:    system. I would be especially pleased to have reports of failures so
                    195:    that I can improve this service.
                    196: 
                    197:    I apologise unreservedly for the contorted use of the preprocessor...
                    198: 
                    199:    THE SMALL PRINT
                    200:    You may copy and distribute verbatim copies of this source file.
                    201: 
                    202:    You may modify this source file, and copy and distribute such
                    203:    modified versions, provided that you leave the copyright notice
                    204:    at the top of the file and also cause the modified file to carry
                    205:    prominent notices stating that you changed the files and the date
                    206:    of any change; and cause the whole of any work that you distribute
                    207:    or publish, that in whole or in part contains or is a derivative of
                    208:    this program or any part thereof, to be licensed at no charge to
                    209:    all third parties on terms identical to those here.
                    210: 
                    211:    If you do have a fix to any problem, please send it to me, so that
                    212:    other people can have the benefits.
                    213: 
                    214:    While every effort has been taken to make this program as reliable as
                    215:    possible, no responsibility can be taken for the correctness of the
                    216:    output, nor suitability for any particular use.
                    217: 
                    218:    This program is an offshoot of a project funded by public funds.
                    219:    If you use this program for research or commercial use (i.e. more
                    220:    than just for the fun of knowing about your compiler) mailing a short
                    221:    note of acknowledgement may help keep enquire.c supported.
                    222: 
                    223:    ACKNOWLEDGEMENTS
                    224:    Many people have given time and ideas to making this program what it is.
                    225:    To all of them thanks, and apologies for not mentioning them by name.
                    226: 
                    227:    HISTORY
                    228:    Originally started as a program to generate configuration constants
                    229:    for a large piece of software we were writing, which later took on
                    230:    a life of its own...
                    231:    1.0 Length 6658!; end 1984?
                    232:        Unix only. Only printed a dozen maximum int/double values.
                    233:    2.0 Length 10535; Spring 1985
                    234:        Prints values as #defines (about 20 of them)
                    235:        More extensive floating point, using Cody and Waite
                    236:        Handles signals better
                    237:        Programs around optimisations
                    238:        Handles Cybers
                    239:    3.0 Length 12648; Aug 1987; prints about 42 values
                    240:        Added PASS stuff, so treats float as well as double
                    241:    4.0 Length 33891; Feb 1989; prints around 85 values
                    242:        First GNU version (for gcc, where they call it hard-params.c)
                    243:        Generates float.h and limits.h files
                    244:        Handles long double
                    245:        Generates warnings for dubious output
                    246:    4.1 Length 47738; April 1989
                    247:        Added VERIFY and TEST
                    248:    4.2 Length 63442; Feb 1990
                    249:        Added SEP
                    250:        Fixed eps/epsneg
                    251:        Added check for pseudo-unsigned chars
                    252:        Added description for each #define output
                    253:        Added check for absence of defines during verify
                    254:        Added prototypes
                    255:        Added NO_STDC and NO_FILE
                    256:        Fixed alignments output
                    257:    4.3 Length 75000; Oct 1990; around 114 lines of output
                    258:        Function xmalloc defined, Richard Stallman, June 89.
                    259:        Alignments computed from member offsets rather than structure sizes,
                    260:           Richard Stallman, Oct 89.
                    261:        Print whether char* and int* pointers have the same format;
                    262:           also char * and function *.
                    263:        Update to Draft C version Dec 7, 1988
                    264:          - types of constants produced in limits.h
                    265:            (whether to put a U after unsigned shorts and chars and
                    266:             whether to output -1024 as (-1023-1))
                    267:          - values of SCHAR_MIN/MAX
                    268:          - values of *_EPSILON (not the smallest but the effective smallest)
                    269:        Added FILENAME, since standard C doesn't allow #define __FILE__
                    270:        Renamed from config.c to enquire.c
                    271:        Added size_t and ptrdiff_t enquiries
                    272:        Added promotion enquiries
                    273:        Added type checks of #defines
                    274:        Added NO_STDDEF
                    275:        Changed endian to allow for cases where not all bits are used
                    276:        Sanity check for max integrals
                    277:        Fixed definition of setjmp for -DNO_SIG
                    278:        Moved #define ... 0.0L inside #ifdef STDC, in case some cpp's tokenize
                    279:        Added NO_MEM
                    280: */
                    281: 
                    282: /* Set FILENAME to the name of this file */
                    283: #ifndef FILENAME
                    284: #ifdef NO_FILE
                    285: #define FILENAME "enquire.c"
                    286: #else
                    287: #ifdef __FILE__ /* It's a compiler bug if this fails. Compile with -DNO_FILE */
                    288: #define FILENAME __FILE__
                    289: #else
                    290: #define FILENAME "enquire.c"
                    291: #endif /* __FILE__ */
                    292: #endif /* NO_FILE */
                    293: #endif /* FILENAME */
                    294: 
                    295: /* If PASS isn't defined, then this is the first pass over this file. */
                    296: #ifndef PASS
                    297: #ifndef SEP
                    298: #define PASS 1
                    299: #define PASS0 1
                    300: #define PASS1 1
                    301: #endif /* SEP */
                    302: 
                    303: /* A description of the ANSI constants */
                    304: #define D_CHAR_BIT "Number of bits in a storage unit"
                    305: #define D_CHAR_MAX "Maximum char"
                    306: #define D_CHAR_MIN "Minimum char"
                    307: #define D_SCHAR_MAX "Maximum signed char"
                    308: #define D_SCHAR_MIN "Minimum signed char"
                    309: #define D_UCHAR_MAX "Maximum unsigned char (minimum is always 0)"
                    310: 
                    311: #define D_INT_MAX "Maximum %s"
                    312: #define D_INT_MIN "Minimum %s"
                    313: #define D_UINT_MAX "Maximum unsigned %s (minimum is always 0)"
                    314: 
                    315: #define D_FLT_ROUNDS "Addition rounds to 0: zero, 1: nearest, 2: +inf, 3: -inf, -1: unknown"
                    316: #define D_FLT_RADIX "Radix of exponent representation"
                    317: #define D_MANT_DIG "Number of base-FLT_RADIX digits in the significand of a %s"
                    318: #define D_DIG "Number of decimal digits of precision in a %s"
                    319: #define D_MIN_EXP "Minimum int x such that FLT_RADIX**(x-1) is a normalised %s"
                    320: #define D_MIN_10_EXP "Minimum int x such that 10**x is a normalised %s"
                    321: #define D_MAX_EXP "Maximum int x such that FLT_RADIX**(x-1) is a representable %s"
                    322: #define D_MAX_10_EXP "Maximum int x such that 10**x is a representable %s"
                    323: #define D_MAX "Maximum %s"
                    324: #define D_EPSILON "Difference between 1.0 and the minimum %s greater than 1.0"
                    325: #define D_MIN "Minimum normalised %s"
                    326: 
                    327: /* Procedure just marks the functions that don't return a result */
                    328: #ifdef NO_VOID
                    329: #define Procedure int
                    330: #else
                    331: #define Procedure void
                    332: #endif
                    333: 
                    334: /* Some bad compilers define __STDC__, when they don't support it.
                    335:    Compile with -DNO_STDC to get round this.
                    336: */
                    337: #ifndef NO_STDC
                    338: #ifdef __STDC__
                    339: #if __STDC__ /* If __STDC__ is 0, assume it isn't supported */
                    340: #define STDC
                    341: #endif
                    342: #endif
                    343: #endif
                    344: 
                    345: /* Stuff different for ANSI C, and old C:
                    346:    ARGS and NOARGS are used for function prototypes.
                    347:    Volatile is used to reduce the chance of optimisation,
                    348:       and to prevent variables being put in registers (when setjmp/longjmp
                    349:       wouldn't work as we want)
                    350:    Long_double is the longest floating point type available.
                    351:    stdc is used in tests like "if (stdc)", which is less ugly than #ifdef.
                    352:    U is output after unsigned constants.
                    353:  */
                    354: #ifdef STDC
                    355: 
                    356: #define ARGS(x) x
                    357: #define NOARGS (void)
                    358: #define Volatile volatile
                    359: #define Long_double long double
                    360: #define stdc 1
                    361: #define U "U"
                    362: 
                    363: #else /* Old style C */
                    364: 
                    365: #define ARGS(x) ()
                    366: #define NOARGS ()
                    367: #define Volatile static
                    368: #define Long_double double
                    369: #define stdc 0
                    370: #define U ""
                    371: 
                    372: #endif /* STDC */
                    373: 
                    374: /* include files */
                    375: #include <stdio.h>
                    376: 
                    377: #ifdef STDC
                    378: #ifndef NO_STDDEF
                    379: #include "gstddef.h" /* for size_t: if this fails, define NO_STDDEF */
                    380: #endif
                    381: #endif
                    382: 
                    383: #ifdef NO_SIG
                    384: #define jmp_buf int
                    385: #else
1.1.1.2 ! root      386: #include <sys/types.h>
1.1       root      387: #include <signal.h>
                    388: #include <setjmp.h>
                    389: #endif
                    390: 
1.1.1.2 ! root      391: /* Kludge around the possibility that <stdio.h> includes <limits.h> */
1.1       root      392: #ifdef CHAR_BIT
                    393: #undef CHAR_BIT
                    394: #undef CHAR_MAX
                    395: #undef CHAR_MIN
                    396: #undef SCHAR_MAX
                    397: #undef SCHAR_MIN
                    398: #undef UCHAR_MAX
                    399: #undef UCHAR_MIN
                    400: #endif
                    401: 
                    402: #ifdef VERIFY
                    403: #include "limits.h"
                    404: #include "float.h"
                    405: #endif
                    406: 
                    407: #define Vprintf if (V) printf
                    408: #define Unexpected(place) if (setjmp(lab)!=0) croak(place)
                    409: #define fabs(x) (((x)<0.0)?(-x):(x))
                    410: 
                    411: #endif /* PASS */
                    412: 
                    413: #ifdef PASS0
                    414: 
                    415: /* Prototypes for what's to come: */
                    416: 
                    417: int false NOARGS;
                    418: 
                    419: #ifdef NO_STDDEF
                    420: char *malloc (); /* Old style prototype */
                    421: #else
                    422: char *malloc ARGS((size_t size));
                    423: #endif
                    424: 
                    425: Procedure exit ARGS((int status));
                    426: 
                    427: char *f_rep ARGS((int precision, Long_double val));
1.1.1.2 ! root      428: char *fake_f_rep ARGS((char *type, Long_double val));
1.1       root      429: 
                    430: int maximum_int NOARGS;
                    431: int cprop NOARGS;
                    432: int basic NOARGS;
                    433: Procedure sprop NOARGS;
                    434: Procedure iprop NOARGS;
                    435: Procedure lprop NOARGS;
                    436: Procedure usprop NOARGS;
                    437: Procedure uiprop NOARGS;
                    438: Procedure ulprop NOARGS;
                    439: int fprop ARGS((int bits_per_byte));
                    440: int dprop ARGS((int bits_per_byte));
                    441: int ldprop ARGS((int bits_per_byte));
                    442: Procedure efprop ARGS((int fprec, int dprec, int lprec));
                    443: Procedure edprop ARGS((int fprec, int dprec, int lprec));
                    444: Procedure eldprop ARGS((int fprec, int dprec, int lprec));
                    445: 
                    446: int setmode ARGS((char *s));
                    447: Procedure farewell ARGS((int bugs));
                    448: Procedure describe ARGS((char *description, char *extra));
                    449: Procedure missing ARGS((char *s));
                    450: Procedure fmissing ARGS((char *s));
                    451: Procedure check_defines NOARGS;
                    452: Procedure bitpattern ARGS((char *p, unsigned int size));
                    453: int ceil_log ARGS((int base, Long_double x));
                    454: Procedure croak ARGS((int place));
                    455: Procedure eek_a_bug ARGS((char *problem));
                    456: Procedure endian ARGS((int bits_per_byte));
                    457: int exponent ARGS((Long_double x, double *fract, int *exp));
                    458: int floor_log ARGS((int base, Long_double x));
                    459: Procedure f_define ARGS((char *desc, char *extra, char *sort, char *name,
                    460:                         int prec, Long_double val, char *mark));
                    461: Procedure i_define ARGS((char *desc, char *extra, char *sort, char *name,
                    462:                         long val, long lim, long req, char *mark));
                    463: Procedure u_define ARGS((char *desc, char *extra, char *sort, char *name,
                    464:                         unsigned long val, unsigned long req, char *mark));
                    465: 
                    466: #ifdef NO_SIG  /* There's no signal(), or setjmp/longjmp() */
                    467: 
                    468:        /* Dummy routines instead */
                    469: 
                    470:        int setjmp ARGS((int lab));
                    471: 
                    472:        int lab=1;
                    473:        int setjmp(lab) int lab; { return(0); }
                    474:        Procedure signal(i, p) int i, (*p)(); {}
                    475: 
                    476: #else
                    477:        jmp_buf lab;
                    478:        Procedure overflow(sig) int sig; { /* what to do on over/underflow */
                    479:                signal(sig, overflow);
                    480:                longjmp(lab, 1);
                    481:        }
                    482: 
                    483: #endif /*NO_SIG*/
                    484: 
                    485: int V= 0,      /* verbose */
                    486:     L= 0,      /* produce limits.h */
                    487:     F= 0,      /* produce float.h  */
                    488:     bugs=0;    /* The number of (possible) bugs in the output */
                    489: 
                    490: char co[4], oc[4]; /* Comment starter and ender symbols */
                    491: 
                    492: int bits_per_byte; /* the number of bits per unit returned by sizeof() */
                    493: int flt_rounds;    /* The calculated value of FLT_ROUNDS */
                    494: int flt_radix;     /* The calculated value of FLT_RADIX */
                    495: 
                    496: #ifdef TEST
                    497: /* Set the fp modes on a SUN with 68881 chip, to check that different
                    498:    rounding modes etc. get properly detected.
                    499:    Compile with -f68881 for cc, -m68881 for gcc, and with additional flag
                    500:    -DTEST. Run with additional parameter +hex-number, to set the 68881 mode
                    501:    register to hex-number
                    502: */
                    503: 
                    504: /* Bits 0x30 = rounding mode */
                    505: #define ROUND_BITS     0x30
                    506: #define TO_NEAREST     0x00
                    507: #define TO_ZERO                0x10
                    508: #define TO_MINUS_INF   0x20
                    509: #define TO_PLUS_INF    0x30 /* The SUN FP user's guide seems to be wrong here */
                    510: 
                    511: /* Bits 0xc0 = extended rounding */
                    512: #define EXT_BITS       0xc0
                    513: #define ROUND_EXTENDED 0x00
                    514: #define ROUND_SINGLE   0x40
                    515: #define ROUND_DOUBLE   0x80
                    516: 
                    517: /* Enabled traps */
                    518: #define EXE_INEX1  0x100
                    519: #define EXE_INEX2  0x200
                    520: #define EXE_DZ    0x400
                    521: #define EXE_UNFL   0x800
                    522: #define EXE_OVFL  0x1000
                    523: #define EXE_OPERR 0x2000
                    524: #define EXE_SNAN  0x4000
                    525: #define EXE_BSUN  0x8000
                    526: 
                    527: /* Only used for testing, on a Sun with 68881 chip */
                    528: /* Print the FP mode */
                    529: printmode(new) unsigned new; {
                    530:        fpmode_(&new);
                    531:        printf("New fp mode:\n");
                    532:        printf("  Round toward ");
                    533:        switch (new & ROUND_BITS) {
                    534:              case TO_NEAREST:   printf("nearest"); break;
                    535:              case TO_ZERO:      printf("zero"); break;
                    536:              case TO_MINUS_INF: printf("minus infinity"); break;
                    537:              case TO_PLUS_INF:  printf("plus infinity"); break;
                    538:              default: printf("???"); break;
                    539:        }
                    540: 
                    541:        printf("\n  Extended rounding precision: ");
                    542: 
                    543:        switch (new & EXT_BITS) {
                    544:              case ROUND_EXTENDED: printf("extended"); break;
                    545:              case ROUND_SINGLE:   printf("single"); break;
                    546:              case ROUND_DOUBLE:   printf("double"); break;
                    547:              default: printf("???"); break;
                    548:        }
                    549: 
                    550:        printf("\n  Enabled exceptions:");
                    551:        if (new & (unsigned) EXE_INEX1) printf(" inex1");
                    552:        if (new & (unsigned) EXE_INEX2) printf(" inex2");
                    553:        if (new & (unsigned) EXE_DZ)    printf(" dz");
                    554:        if (new & (unsigned) EXE_UNFL)  printf(" unfl");
                    555:        if (new & (unsigned) EXE_OVFL)  printf(" ovfl");
                    556:        if (new & (unsigned) EXE_OPERR) printf(" operr");
                    557:        if (new & (unsigned) EXE_SNAN)  printf(" snan");
                    558:        if (new & (unsigned) EXE_BSUN)  printf(" bsun");
                    559:        printf("\n");
                    560: }
                    561: 
                    562: /* Only used for testing, on a Sun with 68881 chip */
                    563: /* Set the FP mode */
                    564: int setmode(s) char *s; {
                    565:        unsigned mode=0, dig;
                    566:        char c;
                    567: 
                    568:        while (*s) {
                    569:                c= *s++;
                    570:                if  (c>='0' && c<='9') dig= c-'0';
                    571:                else if (c>='a' && c<='f') dig= c-'a'+10;
                    572:                else if (c>='A' && c<='F') dig= c-'A'+10;
                    573:                else return 1;
                    574:                mode= mode<<4 | dig;
                    575:        }
                    576:        printmode(mode);
                    577:        return 0;
                    578: }
                    579: #else
                    580: /* ARGSUSED */
                    581: int setmode(s) char *s; {
                    582:        fprintf(stderr, "Can't set mode: not compiled with TEST\n");
                    583:        return(1);
                    584: }
                    585: #endif
                    586: 
                    587: Procedure farewell(bugs) int bugs; {
                    588:        if (bugs == 0) exit(0);
                    589:        printf("\n%sFor hints on dealing with the ", co);
                    590:        if (bugs == 1) printf("problem");
                    591:        else printf("%d problems", bugs);
                    592:        printf(" above\n   see the section 'TROUBLESHOOTING' in the file ");
                    593:        printf("%s%s\n", FILENAME, oc);
                    594:        exit(bugs);
                    595: }
                    596: 
                    597: /* The program has received a signal where it wasn't expecting one */
                    598: Procedure croak(place) int place; {
                    599:        printf("*** Unexpected signal at point %d\n", place);
                    600:        farewell(bugs+1); /* An exit isn't essential here, but avoids loops */
                    601: }
                    602: 
                    603: /* This is here in case alloca.c is used, which calls this. */
                    604: char *xmalloc(size) unsigned size; {
                    605:        char *value = (char *)malloc(size);
                    606:        if (value == 0) {
                    607:                fprintf(stderr, "Virtual memory exceeded\n");
                    608:                exit(bugs+1);
                    609:        }
                    610:        return value;
                    611: }
                    612: 
                    613: int maxint;
                    614: 
                    615: int maximum_int() {
                    616:        /* Find the maximum integer */
                    617:        Volatile int newi, int_max, two=2;
                    618: 
                    619:        /* Calculate maxint ***********************************/
                    620:        /* Calculate 2**n-1 until overflow - then use the previous value  */
                    621: 
                    622:        newi=1; int_max=0;
                    623: 
                    624:        if (setjmp(lab)==0) { /* Yields int_max */
                    625:                while(newi>int_max) {
                    626:                        int_max=newi;
                    627:                        newi=newi*two+1;
                    628:                }
                    629:        }
                    630:        Unexpected(0);
                    631:        return int_max;
                    632: }
                    633: 
                    634: int main(argc, argv) int argc; char *argv[]; {
                    635:        int dprec, fprec, lprec;
                    636:        unsigned int size;
                    637:        long total;
                    638:        int i; char *s; int bad;
                    639: 
                    640: #ifdef SIGFPE
                    641:        signal(SIGFPE, overflow);
                    642: #endif
                    643: #ifdef SIGOVER
                    644:        signal(SIGOVER, overflow);
                    645: #endif
                    646: /* Add more calls as necessary */
                    647: 
                    648:        Unexpected(1);
                    649: 
                    650:        bad=0;
                    651:        for (i=1; i < argc; i++) {
                    652:                s= argv[i];
                    653:                if (*s == '-') {
                    654:                        s++;
                    655:                        while (*s) {
                    656:                                switch (*(s++)) {
                    657:                                      case 'v': V=1; break;
                    658:                                      case 'l': L=1; break;
                    659:                                      case 'f': F=1; break;
                    660:                                      default: bad=1; break;
                    661:                                }
                    662:                        }
                    663:                } else if (*s == '+') {
                    664:                        s++;
                    665:                        bad= setmode(s);
                    666:                } else bad= 1;
                    667:        }
                    668:        if (bad) {
                    669:                fprintf(stderr,
                    670:                        "Usage: %s [-vlf]\n  v=Verbose l=Limits.h f=Float.h\n",
                    671:                        argv[0]);
                    672:                exit(1);
                    673:        }
                    674:        if (L || F) {
                    675:                co[0]= '/'; oc[0]= ' ';
                    676:                co[1]= '*'; oc[1]= '*';
                    677:                co[2]= ' '; oc[2]= '/';
                    678:                co[3]= '\0'; oc[3]= '\0';
                    679:        } else {
                    680:                co[0]= '\0'; oc[0]= '\0';
                    681:                V=1;
                    682:        }
                    683: 
                    684:        if (L) printf("%slimits.h%s\n", co, oc);
                    685:        if (F) printf("%sfloat.h%s\n", co, oc);
1.1.1.2 ! root      686:        if (F) {
        !           687:                printf ("#ifndef _FLOAT_H___\n");
        !           688:                printf ("#define _FLOAT_H___\n");
        !           689:        }
1.1       root      690: #ifdef ID
                    691:        printf("%sProduced on %s by enquire version %s, CWI, Amsterdam%s\n",
                    692:               co, ID, VERSION, oc);
                    693: #else
                    694:        printf("%sProduced by enquire version %s, CWI, Amsterdam%s\n",
                    695:               co, VERSION, oc);
                    696: #endif
                    697: 
                    698: #ifdef VERIFY
                    699:        printf("%sVerification phase%s\n", co, oc);
                    700: #endif
                    701: 
                    702: #ifdef NO_SIG
                    703:        Vprintf("%sCompiled without signal(): %s%s\n",
                    704:                co,
                    705:                "there's nothing that can be done if overflow occurs",
                    706:                oc);
                    707: #endif
                    708: #ifdef NO_SC
                    709:        Vprintf("%sCompiled without signed char%s\n", co, oc);
                    710: #endif
                    711: #ifdef NO_UC
                    712:        Vprintf("%Compiled without unsigned char%s\n", co, oc);
                    713: #endif
                    714: #ifdef NO_UI
                    715:        Vprintf("%Compiled without unsigned short or long%s\n", co, oc);
                    716: #endif
                    717: #ifdef __STDC__
                    718:        Vprintf("%sCompiler claims to be ANSI C level %d%s\n",
                    719:                co, __STDC__, oc);
                    720: #else
                    721:        Vprintf("%sCompiler does not claim to be ANSI C%s\n", co, oc);
                    722: #endif
                    723:        printf("\n");
                    724:        check_defines();
                    725: 
                    726:        maxint= maximum_int();
                    727:        bits_per_byte= basic();
                    728:        Vprintf("\n");
                    729:        if (F||V) {
                    730:                fprec= fprop(bits_per_byte);
                    731:                dprec= dprop(bits_per_byte);
                    732:                lprec= ldprop(bits_per_byte);
                    733:                efprop(fprec, dprec, lprec);
                    734:                edprop(fprec, dprec, lprec);
                    735:                eldprop(fprec, dprec, lprec);
                    736:        }
                    737: #ifndef NO_MEM
                    738:        if (V) {
                    739:                /* An extra goody: the approximate amount of data-space */
                    740:                /* Allocate store until no more available */
                    741:                /* Different implementations have a different argument type
                    742:                   to malloc. Here we assume that it's the same type as
                    743:                   that which sizeof() returns */
                    744:                size=1<<((bits_per_byte*sizeof(int))-2);
                    745:                total=0;
                    746:                while (size!=0) {
                    747:                        while ( malloc((false()?sizeof(int):size)) !=
                    748:                                (char *)NULL
                    749:                               ) {
                    750:                                total+=(size/2);
                    751:                        }
                    752:                        size/=2;
                    753:                }
                    754: 
                    755:                Vprintf("%sMemory mallocatable ~= %ld Kbytes%s\n",
                    756:                        co, (total+511)/512, oc);
                    757:        }
                    758: #endif
1.1.1.2 ! root      759:        if (F) {
        !           760:                printf ("#endif %s _FLOAT_H___%s\n", co, oc);
        !           761:        }
1.1       root      762:        farewell(bugs);
                    763:        return bugs; /* To keep compilers and lint happy */
                    764: }
                    765: 
                    766: Procedure eek_a_bug(problem) char *problem; {
                    767:        /* The program has discovered a problem */
                    768:        printf("\n%s*** WARNING: %s%s\n", co, problem, oc);
                    769:        bugs++;
                    770: }
                    771: 
                    772: Procedure describe(description, extra) char *description, *extra; {
                    773:        /* Produce the description for a #define */
                    774:        printf("   %s", co);
                    775:        printf(description, extra);
                    776:        printf("%s\n", oc);
                    777: }
                    778: 
                    779: Procedure i_define(desc, extra, sort, name, val, lim, req, mark)
                    780:      char *desc, *extra, *sort, *name; long val, lim, req; char *mark; {
                    781:        /* Produce a #define for a signed int type */
                    782:        describe(desc, extra);
                    783:        if (val >= 0) {
                    784:                printf("#define %s%s %ld%s\n", sort, name, val, mark);
                    785:        } else if (val + lim < 0) {
                    786:                /* We may not produce a constant like -1024 if the max
                    787:                   allowable value is 1023. It has then to be output as
                    788:                   -1023-1. lim is the max allowable value. */
                    789:                printf("#define %s%s (%ld%s%ld%s)\n",
                    790:                       sort, name, -lim, mark, val+lim, mark);
                    791:        } else {
                    792:                printf("#define %s%s (%ld%s)\n", sort, name, val, mark);
                    793:        }
                    794:        /* If VERIFY is not set, val and req are just the same value;
                    795:           if it is set, val is the value as calculated, and req is
                    796:           the #defined constant
                    797:        */
                    798:        if (val != req) {
                    799:                printf("%s*** Verify failed for above #define!\n", co);
                    800:                printf("       Compiler has %ld for value%s\n\n", req, oc);
                    801:                bugs++;
                    802:        }
                    803:        Vprintf("\n");
                    804: }
                    805: 
                    806: Procedure u_define(desc, extra, sort, name, val, req, mark)
                    807:      char *desc, *extra, *sort, *name; unsigned long val, req; char *mark; {
                    808:        /* Produce a #define for an unsigned value */
                    809:        describe(desc, extra);
                    810:        printf("#define %s%s %lu%s%s\n", sort, name, val, U, mark);
                    811:        if (val != req) {
                    812:                printf("%s*** Verify failed for above #define!\n", co);
                    813:                printf("       Compiler has %lu for value%s\n\n", req, oc);
                    814:                bugs++;
                    815:        }
                    816:        Vprintf("\n");
                    817: }
                    818: 
                    819: Procedure f_define(desc, extra, sort, name, precision, val, mark)
                    820:      char *desc, *extra, *sort, *name; int precision;
                    821:      Long_double val; char *mark; {
                    822:        /* Produce a #define for a float/double/long double */
                    823:        describe(desc, extra);
                    824:        if (stdc) {
1.1.1.2 ! root      825: #ifdef NO_LONG_DOUBLE_IO
        !           826:                static int union_defined = 0;
        !           827:                if (!strcmp(sort, "LDBL")) {
        !           828:                        if (!union_defined) {
        !           829:                                printf("#ifndef __LDBL_UNION__\n");
        !           830:                                printf("#define __LDBL_UNION__\n");
        !           831:                                printf("union __convert_long_double {\n");
        !           832:                                printf("  int __convert_long_double_i[4];\n");
        !           833:                                printf("  long double __convert_long_double_d;\n");
        !           834:                                printf("};\n");
        !           835:                                printf("#endif\n");
        !           836:                                union_defined = 1;
        !           837:                        }
        !           838:                        printf("#define %s%s %s\n",
        !           839:                               sort, name, fake_f_rep("long double", val));
        !           840:                } else {
        !           841:                        printf("#define %s%s %s%s\n",
        !           842:                               sort, name, f_rep(precision, val), mark);
        !           843:                }
        !           844: #else
1.1       root      845:                printf("#define %s%s %s%s\n",
                    846:                       sort, name, f_rep(precision, val), mark);
1.1.1.2 ! root      847: #endif
1.1       root      848:        } else if (*mark == 'F') {
                    849:                /* non-ANSI C has no float constants, so cast the constant */
                    850:                printf("#define %s%s ((float)%s)\n",
                    851:                       sort, name, f_rep(precision, val));
                    852:        } else {
                    853:                printf("#define %s%s %s\n", sort, name, f_rep(precision, val));
                    854:        }
                    855:        Vprintf("\n");
                    856: }
                    857: 
                    858: int floor_log(base, x) int base; Long_double x; {
                    859:        /* return floor(log base(x)) */
                    860:        int r=0;
                    861:        while (x>=base) { r++; x/=base; }
                    862:        return r;
                    863: }
                    864: 
                    865: int ceil_log(base, x) int base; Long_double x; {
                    866:        int r=0;
                    867:        while (x>1.0) { r++; x/=base; }
                    868:        return r;
                    869: }
                    870: 
                    871: int exponent(x, fract, exp) Long_double x; double *fract; int *exp; {
                    872:        /* Split x into a fraction and a power of ten;
                    873:           returns 0 if x is unusable, 1 otherwise.
                    874:           Only used for error messages about faulty output.
                    875:        */
                    876:        int r=0, neg=0;
                    877:        Long_double old;
                    878:        *fract=0.0; *exp=0;
                    879:        if (x<0.0) {
                    880:                x= -x;
                    881:                neg= 1;
                    882:        }
                    883:        if (x==0.0) return 1;
                    884:        if (x>=10.0) {
                    885:                while (x>=10.0) {
                    886:                        old=x; r++; x/=10.0;
                    887:                        if (old==x) return 0;
                    888:                }
                    889:        } else {
                    890:                while (x<1.0) {
                    891:                        old=x; r--; x*=10.0;
                    892:                        if (old==x) return 0;
                    893:                }
                    894:        }
                    895:        if (neg) *fract= (double) -x;
                    896:        else *fract=(double) x;
                    897:        *exp=r;
                    898:        return 1;
                    899: }
                    900: 
1.1.1.2 ! root      901: /* Print a value of type TYPE with value VAL,
        !           902:    assuming that sprintf can't handle this type properly (without truncation).
        !           903:    We create an expession that uses type casting to create the value from
        !           904:    a bit pattern.  */
        !           905: 
        !           906: char *fake_f_rep(type, val) char *type; Long_double val; {
        !           907:        static char buf[1024];
        !           908:        union { int i[4]; Long_double ld;} u;
        !           909:        u.ld = val;
        !           910:        sprintf(buf, "(__extension__ ((union __convert_long_double) {0x%x, 0x%x, 0x%x, 0x%x}).__convert_long_double_d)",
        !           911:                u.i[0], u.i[1], u.i[2], u.i[3]);
        !           912:        return buf;
        !           913: }
        !           914: 
1.1       root      915: char *f_rep(precision, val) int precision; Long_double val; {
                    916:        /* Return the floating representation of val */
                    917:        static char buf[1024];
                    918:        char *f1;
1.1.1.2 ! root      919: #ifdef NO_LONG_DOUBLE_IO
        !           920:        if (1)
        !           921: #else
        !           922:        if (sizeof(double) == sizeof(Long_double))
        !           923: #endif
        !           924:        {
        !           925:                double d = val;
1.1       root      926:                /* Assume they're the same, and use non-stdc format */
                    927:                /* This is for stdc compilers using non-stdc libraries */
1.1.1.2 ! root      928:                sprintf(buf, "%.*e", precision, d);
1.1       root      929:        } else {
                    930:                /* It had better support Le then */
1.1.1.2 ! root      931:                sprintf(buf, "%.*Le", precision, val);
1.1       root      932:        }
                    933:        return buf;
                    934: }
                    935: 
                    936: Procedure bitpattern(p, size) char *p; unsigned int size; {
                    937:        /* Printf the bit-pattern of p */
                    938:        char c;
                    939:        int i, j;
                    940: 
                    941:        for (i=1; i<=size; i++) {
                    942:                c= *p;
                    943:                p++;
                    944:                for (j=bits_per_byte-1; j>=0; j--)
                    945:                        printf("%c", (c>>j)&1 ? '1' : '0');
                    946:                if (i!=size) printf(" ");
                    947:        }
                    948: }
                    949: 
                    950: #define Order(x, px, mode)\
                    951:    printf("%s%s ", co, mode); for (i=0; i<sizeof(x); i++) px[i]= ab[i]; \
                    952:    for (i=1; i<=sizeof(x); i++) { c=((x>>(bits_per_byte*(sizeof(x)-i)))&mask);\
                    953:       putchar(c==0 ? '?' : (char)c); }\
                    954:    printf("%s\n", oc);
                    955: 
                    956: Procedure endian(bits_per_byte) int bits_per_byte; {
                    957:        /* Printf the byte-order used on this machine */
                    958:        /*unsigned*/ short s=0;
                    959:        /*unsigned*/ int j=0;
                    960:        /*unsigned*/ long l=0;
                    961: 
                    962:        char *ps= (char *) &s,
                    963:             *pj= (char *) &j,
                    964:             *pl= (char *) &l,
                    965:             *ab= "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
                    966:        unsigned int mask, i, c;
                    967: 
                    968:        mask=0;
                    969:        for (i=1; i<=(unsigned)bits_per_byte; i++) mask= (mask<<1)|1;
                    970: 
                    971:        if (V) {
                    972:                printf("%sCHARACTER ORDER%s\n", co, oc);
                    973:                Order(s, ps, "short:");
                    974:                Order(j, pj, "int:  ");
                    975:                Order(l, pl, "long: ");
                    976:        }
                    977: }
                    978: 
                    979: Procedure missing(s) char *s; {
                    980:        printf("%s*** #define %s missing from limits.h%s\n", co, s, oc);
                    981:        bugs++;
                    982: }
                    983: 
                    984: Procedure fmissing(s) char *s; {
                    985:        printf("%s*** #define %s missing from float.h%s\n", co, s, oc);
                    986:        bugs++;
                    987: }
                    988: 
                    989: /* To try and fool optimisers */
                    990: int false() { return 0; }
                    991: 
                    992: #define Promoted(x) (false()?(x):(-1))
                    993: #define is_signed(x) (Promoted(x) < 0)
                    994: #define sign_of(x) ((x)?"signed":"unsigned")
                    995: #define Signed 1
                    996: #define Unsigned 0
                    997: #define sgn(x) ((is_signed(x))?Signed:Unsigned)
                    998: 
                    999: #define showtype(t, x) Vprintf("%s%s %s %s%s\n", co, t, sign_of(is_signed(x)), type_of(sizeof(x)), oc)
                   1000: 
                   1001: char *type_of(x) int x; {
                   1002:        if (x == sizeof(char)) {
                   1003:                if (sizeof(char) == sizeof(int)) return "char/short/int";
                   1004:                if (sizeof(char) == sizeof(short)) return "char/short";
                   1005:                return "char";
                   1006:        }
                   1007:        if (x == sizeof(short)) {
                   1008:                if (sizeof(short) == sizeof(int)) return "short/int";
                   1009:                return "short";
                   1010:        }
                   1011:        if (x == sizeof(int)) {
                   1012:                if (sizeof(int) == sizeof(long)) return "int/long";
                   1013:                return "int";
                   1014:        }
                   1015:        if (x == sizeof(long)) return "long";
                   1016:        return "unknown-type";
                   1017: }
                   1018: 
                   1019: char *ftype_of(x) int x; {
                   1020:        if (x == sizeof(float)) {
                   1021:                return "float";
                   1022:        }
                   1023:        if (x == sizeof(double)) {
                   1024:                if (sizeof(double) == sizeof(Long_double))
                   1025:                  return "(long)double";
                   1026:                return "double";
                   1027:        }
                   1028:        if (x == sizeof(Long_double)) {
                   1029:                return "long double";
                   1030:        }
                   1031:        return "unknown-type";
                   1032: }
                   1033: 
                   1034: Procedure typerr(name, esign, esize, sign, size)
                   1035:   char *name; int esign, esize, sign, size;
                   1036: {
                   1037:        Vprintf("*** %s has wrong type: expected %s %s, found %s %s\n",
                   1038:               name, sign_of(esign), type_of(esize),
                   1039:               sign_of(sign), type_of(size));
                   1040: }
                   1041: 
                   1042: Procedure ftyperr(name, esize, size) char *name; int esize, size; {
                   1043:        Vprintf("*** %s has wrong type: expected %s, found %s\n",
                   1044:               name, ftype_of(esize), ftype_of(size));
                   1045: }
                   1046: 
                   1047: promotions() {
                   1048:        int si; long sl;
                   1049:        unsigned int ui; unsigned long ul;
                   1050:        short ss; unsigned short us;
                   1051: 
                   1052:        Vprintf("\n%sPROMOTIONS%s\n", co, oc);
                   1053: 
                   1054:        if (
                   1055:            /* Possible warnings here; no problem */
                   1056:            (sizeof(Promoted(si)) != sizeof(int)) ||
                   1057:            (sizeof(Promoted(sl)) != sizeof(long)) ||
                   1058:            (sizeof(Promoted(ss)) != sizeof(int)) ||
                   1059:            (sizeof(Promoted(ui)) != sizeof(int)) ||
                   1060:            (sizeof(Promoted(ul)) != sizeof(long)) ||
                   1061:            (sizeof(Promoted(us)) != sizeof(int)) ||
                   1062:            is_signed(ui) || is_signed(ul) ||
                   1063:            !is_signed(si) || !is_signed(sl)
                   1064:            )
                   1065:          {
                   1066:            eek_a_bug("promotions don't work properly in conditional expressions\n");
                   1067:          }
                   1068: 
                   1069:        showtype("unsigned short promotes to", Promoted((unsigned short)0));
                   1070:        showtype("long+unsigned gives", sl+ui);
                   1071: }
                   1072: 
                   1073: #define checktype(x, n, s, t) if((sgn(x)!=s)||(sizeof(x)!=sizeof(t))) typerr(n, s, sizeof(t), sign_of(x), sizeof(x));
                   1074: 
                   1075: #define fchecktype(x, n, t) if (sizeof(x) != sizeof(t)) ftyperr(n, sizeof(x), sizeof(t));
                   1076: 
                   1077: Procedure check_defines() {
                   1078:        /* ensure that all #defines are present and have the correct type */
                   1079: #ifdef VERIFY
                   1080:        int usign;
                   1081: 
                   1082: #ifdef NO_UI
                   1083:        usign= Signed;
                   1084: #else
                   1085:        /* Implementations promote unsigned short differently */
                   1086:        usign= is_signed((unsigned short)0);
                   1087: #endif
                   1088: 
                   1089:        if (L) {
                   1090: #ifdef CHAR_BIT
                   1091:        checktype(CHAR_BIT, "CHAR_BIT", Signed, int);
                   1092: #else
                   1093:        missing("CHAR_BIT");
                   1094: #endif
                   1095: #ifdef CHAR_MAX
                   1096:        checktype(CHAR_MAX, "CHAR_MAX", Signed, int);
                   1097: #else
                   1098:        missing("CHAR_MAX");
                   1099: #endif
                   1100: #ifdef CHAR_MIN
                   1101:        checktype(CHAR_MIN, "CHAR_MIN", Signed, int);
                   1102: #else
                   1103:        missing("CHAR_MIN");
                   1104: #endif
                   1105: #ifdef SCHAR_MAX
                   1106:        checktype(SCHAR_MAX, "SCHAR_MAX", Signed, int);
                   1107: #else
                   1108:        missing("SCHAR_MAX");
                   1109: #endif
                   1110: #ifdef SCHAR_MIN
                   1111:        checktype(SCHAR_MIN, "SCHAR_MIN", Signed, int);
                   1112: #else
                   1113:        missing("SCHAR_MIN");
                   1114: #endif
                   1115: #ifdef UCHAR_MAX
                   1116:        checktype(UCHAR_MAX, "UCHAR_MAX", Signed, int);
                   1117: #else
                   1118:        missing("UCHAR_MAX");
                   1119: #endif
                   1120: #ifdef SHRT_MAX
                   1121:        checktype(SHRT_MAX, "SHRT_MAX", Signed, int);
                   1122: #else
                   1123:        missing("SHRT_MAX");
                   1124: #endif
                   1125: #ifdef SHRT_MIN
                   1126:        checktype(SHRT_MIN, "SHRT_MIN", Signed, int);
                   1127: #else
                   1128:        missing("SHRT_MIN");
                   1129: #endif
                   1130: #ifdef INT_MAX
                   1131:        checktype(INT_MAX, "INT_MAX", Signed, int);
                   1132: #else
                   1133:        missing("INT_MAX");
                   1134: #endif
                   1135: #ifdef INT_MIN
                   1136:        checktype(INT_MIN, "INT_MIN", Signed, int);
                   1137: #else
                   1138:        missing("INT_MIN");
                   1139: #endif
                   1140: #ifdef LONG_MAX
                   1141:        checktype(LONG_MAX, "LONG_MAX", Signed, long);
                   1142: #else
                   1143:        missing("LONG_MAX");
                   1144: #endif
                   1145: #ifdef LONG_MIN
                   1146:        checktype(LONG_MIN, "LONG_MIN", Signed, long);
                   1147: #else
                   1148:        missing("LONG_MIN");
                   1149: #endif
                   1150: #ifdef USHRT_MAX
                   1151:        checktype(USHRT_MAX, "USHRT_MAX", usign, int);
                   1152: #else
                   1153:        missing("USHRT_MAX");
                   1154: #endif
                   1155: #ifdef UINT_MAX
                   1156:        checktype(UINT_MAX, "UINT_MAX", Unsigned, int);
                   1157: #else
                   1158:        missing("UINT_MAX");
                   1159: #endif
                   1160: #ifdef ULONG_MAX
                   1161:        checktype(ULONG_MAX, "ULONG_MAX", Unsigned, long);
                   1162: #else
                   1163:        missing("ULONG_MAX");
                   1164: #endif
                   1165:        } /* if (L) */
                   1166: 
                   1167:        if (F) {
                   1168: #ifdef FLT_RADIX
                   1169:        checktype(FLT_RADIX, "FLT_RADIX", Signed, int);
                   1170: #else
                   1171:        fmissing("FLT_RADIX");
                   1172: #endif
                   1173: #ifdef FLT_MANT_DIG
                   1174:        checktype(FLT_MANT_DIG, "FLT_MANT_DIG", Signed, int);
                   1175: #else
                   1176:        fmissing("FLT_MANT_DIG");
                   1177: #endif
                   1178: #ifdef FLT_DIG
                   1179:        checktype(FLT_DIG, "FLT_DIG", Signed, int);
                   1180: #else
                   1181:        fmissing("FLT_DIG");
                   1182: #endif
                   1183: #ifdef FLT_ROUNDS
                   1184:        checktype(FLT_ROUNDS, "FLT_ROUNDS", Signed, int);
                   1185: #else
                   1186:        fmissing("FLT_ROUNDS");
                   1187: #endif
                   1188: #ifdef FLT_EPSILON
                   1189:        fchecktype(FLT_EPSILON, "FLT_EPSILON", float);
                   1190: #else
                   1191:        fmissing("FLT_EPSILON");
                   1192: #endif
                   1193: #ifdef FLT_MIN_EXP
                   1194:        checktype(FLT_MIN_EXP, "FLT_MIN_EXP", Signed, int);
                   1195: #else
                   1196:        fmissing("FLT_MIN_EXP");
                   1197: #endif
                   1198: #ifdef FLT_MIN
                   1199:        fchecktype(FLT_MIN, "FLT_MIN", float);
                   1200: #else
                   1201:        fmissing("FLT_MIN");
                   1202: #endif
                   1203: #ifdef FLT_MIN_10_EXP
                   1204:        checktype(FLT_MIN_10_EXP, "FLT_MIN_10_EXP", Signed, int);
                   1205: #else
                   1206:        fmissing("FLT_MIN_10_EXP");
                   1207: #endif
                   1208: #ifdef FLT_MAX_EXP
                   1209:        checktype(FLT_MAX_EXP, "FLT_MAX_EXP", Signed, int);
                   1210: #else
                   1211:        fmissing("FLT_MAX_EXP");
                   1212: #endif
                   1213: #ifdef FLT_MAX
                   1214:        fchecktype(FLT_MAX, "FLT_MAX", float);
                   1215: #else
                   1216:        fmissing("FLT_MAX");
                   1217: #endif
                   1218: #ifdef FLT_MAX_10_EXP
                   1219:        checktype(FLT_MAX_10_EXP, "FLT_MAX_10_EXP", Signed, int);
                   1220: #else
                   1221:        fmissing("FLT_MAX_10_EXP");
                   1222: #endif
                   1223: #ifdef DBL_MANT_DIG
                   1224:        checktype(DBL_MANT_DIG, "DBL_MANT_DIG", Signed, int);
                   1225: #else
                   1226:        fmissing("DBL_MANT_DIG");
                   1227: #endif
                   1228: #ifdef DBL_DIG
                   1229:        checktype(DBL_DIG, "DBL_DIG", Signed, int);
                   1230: #else
                   1231:        fmissing("DBL_DIG");
                   1232: #endif
                   1233: #ifdef DBL_EPSILON
                   1234:        fchecktype(DBL_EPSILON, "DBL_EPSILON", double);
                   1235: #else
                   1236:        fmissing("DBL_EPSILON");
                   1237: #endif
                   1238: #ifdef DBL_MIN_EXP
                   1239:        checktype(DBL_MIN_EXP, "DBL_MIN_EXP", Signed, int);
                   1240: #else
                   1241:        fmissing("DBL_MIN_EXP");
                   1242: #endif
                   1243: #ifdef DBL_MIN
                   1244:        fchecktype(DBL_MIN, "DBL_MIN", double);
                   1245: #else
                   1246:        fmissing("DBL_MIN");
                   1247: #endif
                   1248: #ifdef DBL_MIN_10_EXP
                   1249:        checktype(DBL_MIN_10_EXP, "DBL_MIN_10_EXP", Signed, int);
                   1250: #else
                   1251:        fmissing("DBL_MIN_10_EXP");
                   1252: #endif
                   1253: #ifdef DBL_MAX_EXP
                   1254:        checktype(DBL_MAX_EXP, "DBL_MAX_EXP", Signed, int);
                   1255: #else
                   1256:        fmissing("DBL_MAX_EXP");
                   1257: #endif
                   1258: #ifdef DBL_MAX
                   1259:        fchecktype(DBL_MAX, "DBL_MAX", double);
                   1260: #else
                   1261:        fmissing("DBL_MAX");
                   1262: #endif
                   1263: #ifdef DBL_MAX_10_EXP
                   1264:        checktype(DBL_MAX_10_EXP, "DBL_MAX_10_EXP", Signed, int);
                   1265: #else
                   1266:        fmissing("DBL_MAX_10_EXP");
                   1267: #endif
                   1268: #ifdef STDC
                   1269: #ifdef LDBL_MANT_DIG
                   1270:        checktype(LDBL_MANT_DIG, "LDBL_MANT_DIG", Signed, int);
                   1271: #else
                   1272:        fmissing("LDBL_MANT_DIG");
                   1273: #endif
                   1274: #ifdef LDBL_DIG
                   1275:        checktype(LDBL_DIG, "LDBL_DIG", Signed, int);
                   1276: #else
                   1277:        fmissing("LDBL_DIG");
                   1278: #endif
                   1279: #ifdef LDBL_EPSILON
                   1280:        fchecktype(LDBL_EPSILON, "LDBL_EPSILON", long double);
                   1281: #else
                   1282:        fmissing("LDBL_EPSILON");
                   1283: #endif
                   1284: #ifdef LDBL_MIN_EXP
                   1285:        checktype(LDBL_MIN_EXP, "LDBL_MIN_EXP", Signed, int);
                   1286: #else
                   1287:        fmissing("LDBL_MIN_EXP");
                   1288: #endif
                   1289: #ifdef LDBL_MIN
                   1290:        fchecktype(LDBL_MIN, "LDBL_MIN", long double);
                   1291: #else
                   1292:        fmissing("LDBL_MIN");
                   1293: #endif
                   1294: #ifdef LDBL_MIN_10_EXP
                   1295:        checktype(LDBL_MIN_10_EXP, "LDBL_MIN_10_EXP", Signed, int);
                   1296: #else
                   1297:        fmissing("LDBL_MIN_10_EXP");
                   1298: #endif
                   1299: #ifdef LDBL_MAX_EXP
                   1300:        checktype(LDBL_MAX_EXP, "LDBL_MAX_EXP", Signed, int);
                   1301: #else
                   1302:        fmissing("LDBL_MAX_EXP");
                   1303: #endif
                   1304: #ifdef LDBL_MAX
                   1305:        fchecktype(LDBL_MAX, "LDBL_MAX", long double);
                   1306: #else
                   1307:        fmissing("LDBL_MAX");
                   1308: #endif
                   1309: #ifdef LDBL_MAX_10_EXP
                   1310:        checktype(LDBL_MAX_10_EXP, "LDBL_MAX_10_EXP", Signed, int);
                   1311: #else
                   1312:        fmissing("LDBL_MAX_10_EXP");
                   1313: #endif
                   1314: #endif /* STDC */
                   1315:        } /* if (F) */
                   1316: #endif /* VERIFY */
                   1317: }
                   1318: 
                   1319: #ifdef VERIFY
                   1320: #ifndef SCHAR_MAX
                   1321: #define SCHAR_MAX      char_max
                   1322: #endif
                   1323: #ifndef SCHAR_MIN
                   1324: #define SCHAR_MIN      char_min
                   1325: #endif
                   1326: #ifndef UCHAR_MAX
                   1327: #define UCHAR_MAX      char_max
                   1328: #endif
                   1329: #endif /* VERIFY */
                   1330: 
                   1331: #ifndef CHAR_BIT
                   1332: #define CHAR_BIT       char_bit
                   1333: #endif
                   1334: #ifndef CHAR_MAX
                   1335: #define CHAR_MAX       char_max
                   1336: #endif
                   1337: #ifndef CHAR_MIN
                   1338: #define CHAR_MIN       char_min
                   1339: #endif
                   1340: #ifndef SCHAR_MAX
                   1341: #define SCHAR_MAX      char_max
                   1342: #endif
                   1343: #ifndef SCHAR_MIN
                   1344: #define SCHAR_MIN      char_min
                   1345: #endif
                   1346: #ifndef UCHAR_MAX
                   1347: #define UCHAR_MAX      char_max
                   1348: #endif
                   1349: 
                   1350: int cprop() {
                   1351:        /* Properties of type char */
                   1352:        Volatile char c, char_max, char_min;
                   1353:        Volatile int bits_per_byte, c_signed;
                   1354:        long char_bit;
                   1355: 
                   1356:        Unexpected(2);
                   1357: 
                   1358:        /* Calculate number of bits per character *************************/
                   1359:        c=1; bits_per_byte=0;
                   1360:        do { c=c<<1; bits_per_byte++; } while(c!=0);
                   1361:        c= (char)(-1);
                   1362:        if (((int)c)<0) c_signed=1;
                   1363:        else c_signed=0;
                   1364:        Vprintf("%schar = %d bits, %ssigned%s\n",
                   1365:                co, (int)sizeof(c)*bits_per_byte, (c_signed?"":"un"), oc);
                   1366:        char_bit=(long)(sizeof(c)*bits_per_byte);
                   1367:        if (L) i_define(D_CHAR_BIT, "", "CHAR", "_BIT",
                   1368:                        char_bit, 0L, (long) CHAR_BIT, "");
                   1369: 
                   1370:        c=0; char_max=0;
                   1371:        c++;
                   1372:        if (setjmp(lab)==0) { /* Yields char_max */
                   1373:                while (c>char_max) {
                   1374:                        char_max=c;
                   1375:                        c++;
                   1376:                }
                   1377:        } else {
                   1378:                Vprintf("%sCharacter overflow generates a trap!%s\n", co, oc);
                   1379:        }
                   1380:        c=0; char_min=0;
                   1381:        c--;
                   1382:        if (setjmp(lab)==0) { /* Yields char_min */
                   1383:                while (c<char_min) {
                   1384:                        char_min=c;
                   1385:                        c--;
                   1386:                }
                   1387:        }
                   1388:        if (c_signed && char_min == 0) {
                   1389:                Vprintf("%sBEWARE! Chars are pseudo-unsigned:%s\n", co, oc);
                   1390:                Vprintf("%s   %s%s%s\n",
                   1391:                        "They contain only nonnegative values, ",
                   1392:                        "but sign extend when used as integers.", co, oc);
                   1393:        }
                   1394:        Unexpected(3);
                   1395: 
                   1396:        if (L) {
                   1397:                /* Because of the integer promotions, you must use a U after
                   1398:                   the MAX_CHARS in the following cases */
                   1399:                if ((sizeof(char) == sizeof(int)) && !c_signed) {
                   1400:                        u_define(D_CHAR_MAX, "", "CHAR", "_MAX",
                   1401:                                 (long) char_max,
                   1402:                                 (long) CHAR_MAX, "");
                   1403:                } else {
                   1404:                        i_define(D_CHAR_MAX, "", "CHAR", "_MAX",
                   1405:                                 (long) char_max, 0L,
                   1406:                                 (long) CHAR_MAX, "");
                   1407:                }
                   1408:                i_define(D_CHAR_MIN, "", "CHAR", "_MIN",
                   1409:                         (long) char_min, (long) maxint,
                   1410:                         (long) CHAR_MIN, "");
                   1411:                if (c_signed) {
                   1412:                        i_define(D_SCHAR_MAX, "", "SCHAR", "_MAX",
                   1413:                                 (long) char_max, 0L,
                   1414:                                 (long) SCHAR_MAX, "");
                   1415:                        i_define(D_SCHAR_MIN, "", "SCHAR", "_MIN",
                   1416:                                 (long) char_min, (long) maxint,
                   1417:                                 (long) SCHAR_MIN, "");
                   1418:                } else {
                   1419:                        if (sizeof(char) == sizeof(int)) {
                   1420:                                u_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
                   1421:                                         (long) char_max,
                   1422:                                         (long) UCHAR_MAX, "");
                   1423:                        } else {
                   1424:                                i_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
                   1425:                                         (long) char_max, 0L,
                   1426:                                         (long) UCHAR_MAX, "");
                   1427:                        }
                   1428:                }
                   1429: 
                   1430:                if (c_signed) {
                   1431: #ifndef NO_UC
                   1432:                        Volatile unsigned char c, char_max;
                   1433:                        c=0; char_max=0;
                   1434:                        c++;
                   1435:                        if (setjmp(lab)==0) { /* Yields char_max */
                   1436:                                while (c>char_max) {
                   1437:                                        char_max=c;
                   1438:                                        c++;
                   1439:                                }
                   1440:                        }
                   1441:                        Unexpected(4);
                   1442:                        if (sizeof(char) == sizeof(int)) {
                   1443:                                u_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
                   1444:                                         (long) char_max,
                   1445:                                         (long) UCHAR_MAX, "");
                   1446:                        } else {
                   1447:                                i_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
                   1448:                                         (long) char_max, 0L,
                   1449:                                         (long) UCHAR_MAX, "");
                   1450:                        }
                   1451: #endif
                   1452:                } else {
                   1453: #ifndef NO_SC
                   1454: /* Define NO_SC if this gives a syntax error */ Volatile signed char c, char_max, char_min;
                   1455:                        c=0; char_max=0;
                   1456:                        c++;
                   1457:                        if (setjmp(lab)==0) { /* Yields char_max */
                   1458:                                while (c>char_max) {
                   1459:                                        char_max=c;
                   1460:                                        c++;
                   1461:                                }
                   1462:                        }
                   1463:                        c=0; char_min=0;
                   1464:                        c--;
                   1465:                        if (setjmp(lab)==0) { /* Yields char_min */
                   1466:                                while (c<char_min) {
                   1467:                                        char_min=c;
                   1468:                                        c--;
                   1469:                                }
                   1470:                        }
                   1471:                        Unexpected(5);
                   1472:                        i_define(D_SCHAR_MIN, "", "SCHAR", "_MIN",
                   1473:                                 (long) char_min, (long) maxint,
                   1474:                                 (long) SCHAR_MIN, "");
                   1475:                        i_define(D_SCHAR_MAX, "", "SCHAR", "_MAX",
                   1476:                                 (long) char_max, 0L,
                   1477:                                 (long) SCHAR_MAX, "");
                   1478: #endif /* NO_SC */
                   1479:                }
                   1480:        }
                   1481:        return bits_per_byte;
                   1482: }
                   1483: 
                   1484: int basic() {
                   1485:        /* The properties of the basic types.
                   1486:           Returns number of bits per sizeof unit */
                   1487:        Volatile int bits_per_byte;
                   1488:        typedef int function ();
                   1489:        int variable;
                   1490:        int *p, *q;
                   1491: 
                   1492:        Vprintf("%sSIZES%s\n", co, oc);
                   1493:        bits_per_byte= cprop();
                   1494: 
                   1495:        /* Shorts, ints and longs *****************************************/
                   1496:        Vprintf("%sshort=%d int=%d long=%d float=%d double=%d bits %s\n",
                   1497:                co,
                   1498:                (int) sizeof(short)*bits_per_byte,
                   1499:                (int) sizeof(int)*bits_per_byte,
                   1500:                (int) sizeof(long)*bits_per_byte,
                   1501:                (int) sizeof(float)*bits_per_byte,
                   1502:                (int) sizeof(double)*bits_per_byte, oc);
                   1503:        if (stdc) {
                   1504:                Vprintf("%slong double=%d bits%s\n",
                   1505:                        co, (int) sizeof(Long_double)*bits_per_byte, oc);
                   1506:        }
                   1507:        Vprintf("%schar*=%d bits%s%s\n",
                   1508:                co, (int)sizeof(char *)*bits_per_byte,
                   1509:                sizeof(char *)>sizeof(int)?" BEWARE! larger than int!":"",
                   1510:                oc);
                   1511:        Vprintf("%sint* =%d bits%s%s\n",
                   1512:                co, (int)sizeof(int *)*bits_per_byte,
                   1513:                sizeof(int *)>sizeof(int)?" BEWARE! larger than int!":"",
                   1514:                oc);
                   1515:        Vprintf("%sfunc*=%d bits%s%s\n",
                   1516:                co, (int)sizeof(function *)*bits_per_byte,
                   1517:                sizeof(function *)>sizeof(int)?" BEWARE! larger than int!":"",
                   1518:                oc);
                   1519: if (V) printf ("%s%s %s %s%s\n", co, "Type size_t is",
                   1520:                       ((((false()?( sizeof(int)):(-1))  < 0) )?
                   1521:                        "signed":"unsigned") ,
                   1522:                       type_of(sizeof(
                   1523:                                      sizeof(int)+0
                   1524:                                      )
                   1525:                               ),
                   1526:               oc);
                   1527:        showtype("Type size_t is", sizeof(0));
                   1528: 
                   1529:        /* Alignment constants ********************************************/
                   1530: 
                   1531: #define alignment(TYPE) \
                   1532:        ((long)((char *)&((struct{char c; TYPE d;}*)0)->d - (char *)0))
                   1533: 
                   1534:        Vprintf("\n%sALIGNMENTS%s\n", co, oc);
                   1535: 
                   1536:        Vprintf("%schar=%ld short=%ld int=%ld long=%ld%s\n",
                   1537:                co,
                   1538:                alignment(char), alignment(short),
                   1539:                alignment(int), alignment(long),
                   1540:                oc);
                   1541: 
                   1542:        Vprintf("%sfloat=%ld double=%ld%s\n",
                   1543:                co,
                   1544:                alignment(float), alignment(double),
                   1545:                oc);
                   1546: 
                   1547:        if (stdc) {
                   1548:                Vprintf("%slong double=%ld%s\n",
                   1549:                        co,
                   1550:                        alignment(Long_double),
                   1551:                        oc);
                   1552:        }
                   1553:        Vprintf("%schar*=%ld int*=%ld func*=%ld%s\n",
                   1554:                co,
                   1555:                alignment(char *), alignment(int *), alignment(function *),
                   1556:                oc);
                   1557: 
                   1558:        Vprintf("\n");
                   1559: 
                   1560:        /* Ten little endians *********************************************/
                   1561: 
                   1562:        endian(bits_per_byte);
                   1563: 
                   1564:        /* Pointers *******************************************************/
                   1565: 
                   1566:        Vprintf("\n%sPROPERTIES OF POINTERS%s\n", co, oc);
                   1567: 
                   1568:        if ((long) (char *) &variable == (long) (int *) &variable)
                   1569:                Vprintf("%sChar and int pointer formats seem identical%s\n",
                   1570:                       co, oc);
                   1571:        else
                   1572:                Vprintf("%sChar and int pointer formats are different%s\n",
                   1573:                       co, oc);
                   1574:        if ((long) (char *) &variable == (long) (function *) &variable)
                   1575:                Vprintf("%sChar and function pointer formats seem identical%s\n",
                   1576:                       co, oc);
                   1577:        else
                   1578:                Vprintf("%sChar and function pointer formats are different%s\n",
                   1579:                       co, oc);
                   1580: 
                   1581:        if (V) {
                   1582:                if ("abcd"=="abcd")
                   1583:                        printf("%sStrings are shared%s\n", co, oc);
                   1584:                else printf("%sStrings are not shared%s\n", co, oc);
                   1585:        }
                   1586: 
                   1587:        p=0; q=0;
                   1588:        showtype("Type ptrdiff_t is", p-q);
                   1589: 
                   1590:        Vprintf("\n%sPROPERTIES OF INTEGRAL TYPES%s\n", co, oc);
                   1591: 
                   1592:        sprop();
                   1593:        iprop();
                   1594:        lprop();
                   1595:        usprop();
                   1596:        uiprop();
                   1597:        ulprop();
                   1598: 
                   1599:        promotions();
                   1600: 
                   1601:        Unexpected(6);
                   1602: 
                   1603:        return bits_per_byte;
                   1604: }
                   1605: 
                   1606: #else /* not PASS0 */
                   1607: 
                   1608: #ifdef SEP
                   1609: extern jmp_buf lab;
                   1610: extern int V, L, F, bugs, bits_per_byte;
                   1611: extern char co[], oc[];
                   1612: extern char *f_rep();
                   1613: #endif /* SEP */
                   1614: #endif /* ifdef PASS0 */
                   1615: 
                   1616: /* As I said, I apologise for the contortions below. The functions are
                   1617:    expanded by the preprocessor twice or three times (for float and double,
                   1618:    and maybe for long double, and for short, int and long). That way,
                   1619:    I never make a change to one that I forget to make to the other.
                   1620:    You can look on it as C's fault for not supporting multi-line macro's.
                   1621:    This whole file is read 3 times by the preprocessor, with PASSn set for
                   1622:    n=1, 2 or 3, to decide which parts to reprocess.
                   1623: */
                   1624: 
                   1625: /* #undef on an already undefined thing is (wrongly) flagged as an error
                   1626:    by some compilers, therefore the #ifdef that follows:
                   1627: */
                   1628: #ifdef Number
                   1629: #undef Number
                   1630: #undef THING
                   1631: #undef Thing
                   1632: #undef thing
                   1633: #undef FPROP
                   1634: #undef Fname
                   1635: #undef Store
                   1636: #undef Sum
                   1637: #undef Diff
                   1638: #undef Mul
                   1639: #undef Div
                   1640: #undef ZERO
                   1641: #undef HALF
                   1642: #undef ONE
                   1643: #undef TWO
                   1644: #undef THREE
                   1645: #undef FOUR
                   1646: #undef Self
                   1647: #undef F_check
                   1648: #undef Validate
                   1649: #undef EPROP
                   1650: #undef MARK
                   1651: 
                   1652: /* These are the float.h constants */
                   1653: #undef F_RADIX
                   1654: #undef F_MANT_DIG
                   1655: #undef F_DIG
                   1656: #undef F_ROUNDS
                   1657: #undef F_EPSILON
                   1658: #undef F_MIN_EXP
                   1659: #undef F_MIN
                   1660: #undef F_MIN_10_EXP
                   1661: #undef F_MAX_EXP
                   1662: #undef F_MAX
                   1663: #undef F_MAX_10_EXP
                   1664: #endif
                   1665: 
                   1666: #ifdef Integer
                   1667: #undef Integer
                   1668: #undef INT
                   1669: #undef IPROP
                   1670: #undef Iname
                   1671: #undef UPROP
                   1672: #undef Uname
                   1673: #undef OK_UI
                   1674: #undef IMARK
                   1675: 
                   1676: #undef I_MAX
                   1677: #undef I_MIN
                   1678: #undef U_MAX
                   1679: #endif
                   1680: 
                   1681: #ifdef PASS1
                   1682: 
                   1683: /* Define the things we're going to use this pass */
                   1684: 
                   1685: #define Number float
                   1686: #define THING  "FLOAT"
                   1687: #define Thing  "Float"
                   1688: #define thing  "float"
                   1689: #define Fname  "FLT"
                   1690: #define FPROP  fprop
                   1691: #define Store  fStore
                   1692: #define Sum    fSum
                   1693: #define Diff   fDiff
                   1694: #define Mul    fMul
                   1695: #define Div    fDiv
                   1696: #define ZERO   0.0
                   1697: #define HALF   0.5
                   1698: #define ONE    1.0
                   1699: #define TWO    2.0
                   1700: #define THREE  3.0
                   1701: #define FOUR   4.0
                   1702: #define Self   fSelf
                   1703: #define F_check        fCheck
                   1704: #define MARK   "F"
                   1705: #ifdef VERIFY
                   1706: #define Validate(prec, val, req, same) fValidate(prec, val, req, same)
                   1707: #endif
                   1708: 
                   1709: #define EPROP  efprop
                   1710: 
                   1711: #define Integer        short
                   1712: #define INT    "short"
                   1713: #define IPROP  sprop
                   1714: #define Iname  "SHRT"
                   1715: #ifndef NO_UI
                   1716: #define OK_UI 1
                   1717: #endif
                   1718: #define IMARK  ""
                   1719: 
                   1720: #define UPROP  usprop
                   1721: #define Uname  "USHRT"
                   1722: 
                   1723: #ifdef VERIFY
                   1724: #ifdef SHRT_MAX
                   1725: #define I_MAX          SHRT_MAX
                   1726: #endif
                   1727: #ifdef SHRT_MIN
                   1728: #define I_MIN          SHRT_MIN
                   1729: #endif
                   1730: #ifdef USHRT_MAX
                   1731: #define U_MAX          USHRT_MAX
                   1732: #endif
                   1733: 
                   1734: #ifdef FLT_RADIX
                   1735: #define F_RADIX                FLT_RADIX
                   1736: #endif
                   1737: #ifdef FLT_MANT_DIG
                   1738: #define F_MANT_DIG     FLT_MANT_DIG
                   1739: #endif
                   1740: #ifdef FLT_DIG
                   1741: #define F_DIG          FLT_DIG
                   1742: #endif
                   1743: #ifdef FLT_ROUNDS
                   1744: #define F_ROUNDS       FLT_ROUNDS
                   1745: #endif
                   1746: #ifdef FLT_EPSILON
                   1747: #define F_EPSILON      FLT_EPSILON
                   1748: #endif
                   1749: #ifdef FLT_MIN_EXP
                   1750: #define F_MIN_EXP      FLT_MIN_EXP
                   1751: #endif
                   1752: #ifdef FLT_MIN
                   1753: #define F_MIN          FLT_MIN
                   1754: #endif
                   1755: #ifdef FLT_MIN_10_EXP
                   1756: #define F_MIN_10_EXP   FLT_MIN_10_EXP
                   1757: #endif
                   1758: #ifdef FLT_MAX_EXP
                   1759: #define F_MAX_EXP      FLT_MAX_EXP
                   1760: #endif
                   1761: #ifdef FLT_MAX
                   1762: #define F_MAX          FLT_MAX
                   1763: #endif
                   1764: #ifdef FLT_MAX_10_EXP
                   1765: #define F_MAX_10_EXP   FLT_MAX_10_EXP
                   1766: #endif
                   1767: #endif /* VERIFY */
                   1768: 
                   1769: #endif /* PASS1 */
                   1770: 
                   1771: #ifdef PASS2
                   1772: 
                   1773: #define Number double
                   1774: #define THING  "DOUBLE"
                   1775: #define Thing  "Double"
                   1776: #define thing  "double"
                   1777: #define Fname  "DBL"
                   1778: #define FPROP  dprop
                   1779: #define Store  dStore
                   1780: #define Sum    dSum
                   1781: #define Diff   dDiff
                   1782: #define Mul    dMul
                   1783: #define Div    dDiv
                   1784: #define ZERO   0.0
                   1785: #define HALF   0.5
                   1786: #define ONE    1.0
                   1787: #define TWO    2.0
                   1788: #define THREE  3.0
                   1789: #define FOUR   4.0
                   1790: #define Self   dSelf
                   1791: #define F_check        dCheck
                   1792: #define MARK   ""
                   1793: #ifdef VERIFY
                   1794: #define Validate(prec, val, req, same) dValidate(prec, val, req, same)
                   1795: #endif
                   1796: 
                   1797: #define EPROP  edprop
                   1798: 
                   1799: #define Integer        int
                   1800: #define INT    "int"
                   1801: #define IPROP  iprop
                   1802: #define Iname  "INT"
                   1803: #define OK_UI  1 /* Unsigned int is always possible */
                   1804: #define IMARK  ""
                   1805: 
                   1806: #define UPROP  uiprop
                   1807: #define Uname  "UINT"
                   1808: 
                   1809: #ifdef VERIFY
                   1810: #ifdef INT_MAX
                   1811: #define I_MAX          INT_MAX
                   1812: #endif
                   1813: #ifdef INT_MIN
                   1814: #define I_MIN          INT_MIN
                   1815: #endif
                   1816: #ifdef UINT_MAX
                   1817: #define U_MAX          UINT_MAX
                   1818: #endif
                   1819: 
                   1820: #ifdef DBL_MANT_DIG
                   1821: #define F_MANT_DIG     DBL_MANT_DIG
                   1822: #endif
                   1823: #ifdef DBL_DIG
                   1824: #define F_DIG          DBL_DIG
                   1825: #endif
                   1826: #ifdef DBL_EPSILON
                   1827: #define F_EPSILON      DBL_EPSILON
                   1828: #endif
                   1829: #ifdef DBL_MIN_EXP
                   1830: #define F_MIN_EXP      DBL_MIN_EXP
                   1831: #endif
                   1832: #ifdef DBL_MIN
                   1833: #define F_MIN          DBL_MIN
                   1834: #endif
                   1835: #ifdef DBL_MIN_10_EXP
                   1836: #define F_MIN_10_EXP   DBL_MIN_10_EXP
                   1837: #endif
                   1838: #ifdef DBL_MAX_EXP
                   1839: #define F_MAX_EXP      DBL_MAX_EXP
                   1840: #endif
                   1841: #ifdef DBL_MAX
                   1842: #define F_MAX          DBL_MAX
                   1843: #endif
                   1844: #ifdef DBL_MAX_10_EXP
                   1845: #define F_MAX_10_EXP   DBL_MAX_10_EXP
                   1846: #endif
                   1847: #endif /* VERIFY */
                   1848: 
                   1849: #endif /* PASS2 */
                   1850: 
                   1851: #ifdef PASS3
                   1852: 
                   1853: #ifdef STDC
                   1854: #define Number long double
                   1855: 
                   1856: #define ZERO   0.0L
                   1857: #define HALF   0.5L
                   1858: #define ONE    1.0L
                   1859: #define TWO    2.0L
                   1860: #define THREE  3.0L
                   1861: #define FOUR   4.0L
                   1862: #endif
                   1863: 
                   1864: #define THING  "LONG DOUBLE"
                   1865: #define Thing  "Long double"
                   1866: #define thing  "long double"
                   1867: #define Fname  "LDBL"
                   1868: #define FPROP  ldprop
                   1869: #define Store  ldStore
                   1870: #define Sum    ldSum
                   1871: #define Diff   ldDiff
                   1872: #define Mul    ldMul
                   1873: #define Div    ldDiv
                   1874: #define Self   ldSelf
                   1875: #define F_check        ldCheck
                   1876: #define MARK   "L"
                   1877: #ifdef VERIFY
                   1878: #define Validate(prec, val, req, same) ldValidate(prec, val, req, same)
                   1879: #endif
                   1880: 
                   1881: #define EPROP  eldprop
                   1882: 
                   1883: #define Integer        long
                   1884: #define INT    "long"
                   1885: #define IPROP  lprop
                   1886: #define Iname  "LONG"
                   1887: #ifndef NO_UI
                   1888: #define OK_UI  1
                   1889: #endif
                   1890: #define IMARK  "L"
                   1891: 
                   1892: #define UPROP  ulprop
                   1893: #define Uname  "ULONG"
                   1894: 
                   1895: #ifdef VERIFY
                   1896: #ifdef LONG_MAX
                   1897: #define I_MAX  LONG_MAX
                   1898: #endif
                   1899: #ifdef LONG_MIN
                   1900: #define I_MIN  LONG_MIN
                   1901: #endif
                   1902: #ifdef ULONG_MAX
                   1903: #define U_MAX  ULONG_MAX
                   1904: #endif
                   1905: 
                   1906: #ifdef LDBL_MANT_DIG
                   1907: #define F_MANT_DIG     LDBL_MANT_DIG
                   1908: #endif
                   1909: #ifdef LDBL_DIG
                   1910: #define F_DIG          LDBL_DIG
                   1911: #endif
                   1912: #ifdef LDBL_EPSILON
                   1913: #define F_EPSILON      LDBL_EPSILON
                   1914: #endif
                   1915: #ifdef LDBL_MIN_EXP
                   1916: #define F_MIN_EXP      LDBL_MIN_EXP
                   1917: #endif
                   1918: #ifdef LDBL_MIN
                   1919: #define F_MIN          LDBL_MIN
                   1920: #endif
                   1921: #ifdef LDBL_MIN_10_EXP
                   1922: #define F_MIN_10_EXP   LDBL_MIN_10_EXP
                   1923: #endif
                   1924: #ifdef LDBL_MAX_EXP
                   1925: #define F_MAX_EXP      LDBL_MAX_EXP
                   1926: #endif
                   1927: #ifdef LDBL_MAX
                   1928: #define F_MAX          LDBL_MAX
                   1929: #endif
                   1930: #ifdef LDBL_MAX_10_EXP
                   1931: #define F_MAX_10_EXP   LDBL_MAX_10_EXP
                   1932: #endif
                   1933: #endif /* VERIFY */
                   1934: 
                   1935: #endif /* PASS3 */
                   1936: 
                   1937: #ifndef I_MAX
                   1938: #define I_MAX  int_max
                   1939: #endif
                   1940: #ifndef I_MIN
                   1941: #define I_MIN  int_min
                   1942: #endif
                   1943: #ifndef U_MAX
                   1944: #define U_MAX  u_max
                   1945: #endif
                   1946: 
                   1947: #ifndef F_RADIX
                   1948: #define F_RADIX                f_radix
                   1949: #endif
                   1950: #ifndef F_MANT_DIG
                   1951: #define F_MANT_DIG     f_mant_dig
                   1952: #endif
                   1953: #ifndef F_DIG
                   1954: #define F_DIG          f_dig
                   1955: #endif
                   1956: #ifndef F_ROUNDS
                   1957: #define F_ROUNDS       f_rounds
                   1958: #endif
                   1959: #ifndef F_EPSILON
                   1960: #define F_EPSILON      f_epsilon
                   1961: #endif
                   1962: #ifndef F_MIN_EXP
                   1963: #define F_MIN_EXP      f_min_exp
                   1964: #endif
                   1965: #ifndef F_MIN
                   1966: #define F_MIN          f_min
                   1967: #endif
                   1968: #ifndef F_MIN_10_EXP
                   1969: #define F_MIN_10_EXP   f_min_10_exp
                   1970: #endif
                   1971: #ifndef F_MAX_EXP
                   1972: #define F_MAX_EXP      f_max_exp
                   1973: #endif
                   1974: #ifndef F_MAX
                   1975: #define F_MAX          f_max
                   1976: #endif
                   1977: #ifndef F_MAX_10_EXP
                   1978: #define F_MAX_10_EXP   f_max_10_exp
                   1979: #endif
                   1980: 
                   1981: #ifndef VERIFY
                   1982: #define Validate(prec, val, req, same) {;}
                   1983: #endif
                   1984: 
                   1985: #ifdef Integer
                   1986: 
                   1987: Procedure IPROP() {
                   1988:        /* the properties of short, int, and long */
                   1989:        Volatile Integer newi, int_max, maxeri, int_min, minneri;
                   1990:        Volatile int ibits, ipower, two=2;
                   1991: 
                   1992:        /* Calculate max short/int/long ***********************************/
                   1993:        /* Calculate 2**n-1 until overflow - then use the previous value  */
                   1994: 
                   1995:        newi=1; int_max=0;
                   1996: 
                   1997:        if (setjmp(lab)==0) { /* Yields int_max */
                   1998:                for(ipower=0; newi>int_max; ipower++) {
                   1999:                        int_max=newi;
                   2000:                        newi=newi*two+1;
                   2001:                }
                   2002:                Vprintf("%sOverflow of a%s %s does not generate a trap%s\n",
                   2003:                        co, INT[0]=='i'?"n":"", INT, oc);
                   2004:        } else {
                   2005:                Vprintf("%sOverflow of a%s %s generates a trap%s\n",
                   2006:                        co, INT[0]=='i'?"n":"", INT, oc);
                   2007:        }
                   2008:        Unexpected(7);
                   2009: 
                   2010:        /* Minimum value: assume either two's or one's complement *********/
                   2011:        int_min= -int_max;
                   2012:        if (setjmp(lab)==0) { /* Yields int_min */
                   2013:                if (int_min-1 < int_min) int_min--;
                   2014:        }
                   2015:        Unexpected(8);
                   2016: 
                   2017:        /* Now for those daft Cybers */
                   2018: 
                   2019:        maxeri=0; newi=int_max;
                   2020: 
                   2021:        if (setjmp(lab)==0) { /* Yields maxeri */
                   2022:                for(ibits=ipower; newi>maxeri; ibits++) {
                   2023:                        maxeri=newi;
                   2024:                        newi=newi+newi+1;
                   2025:                }
                   2026:        }
                   2027:        Unexpected(9);
                   2028: 
                   2029:        minneri= -maxeri;
                   2030:        if (setjmp(lab)==0) { /* Yields minneri */
                   2031:                if (minneri-1 < minneri) minneri--;
                   2032:        }
                   2033:        Unexpected(10);
                   2034: 
                   2035:        Vprintf("%sMaximum %s = %ld (= 2**%d-1)%s\n",
                   2036:                co, INT, (long)int_max, ipower, oc);
                   2037:        Vprintf("%sMinimum %s = %ld%s\n", co, INT, (long)int_min, oc);
                   2038: 
                   2039:        if (L) i_define(D_INT_MAX, INT, Iname, "_MAX",
                   2040:                        (long) int_max, 0L,
                   2041:                        (long) I_MAX, IMARK);
                   2042:        if (L) i_define(D_INT_MIN, INT, Iname, "_MIN",
                   2043:                        (long) int_min, (long) (PASS==1?maxint:int_max),
                   2044:                        (long) I_MIN, IMARK);
                   2045: 
                   2046:        if(int_max < 0) { /* It has happened */
                   2047:                eek_a_bug("signed integral comparison faulty?");
                   2048:        }
                   2049: 
                   2050:        if (maxeri>int_max) {
                   2051:                Vprintf("%sThere is a larger %s, %ld (= 2**%d-1), %s %s%s\n",
                   2052:                        co, INT, (long)maxeri, ibits,
                   2053:                        "but only for addition, not multiplication",
                   2054:                        "(I smell a Cyber!)",
                   2055:                        oc);
                   2056:        }
                   2057: 
                   2058:        if (minneri<int_min) {
                   2059:                Vprintf("%sThere is a smaller %s, %ld, %s %s%s\n",
                   2060:                        co, INT, (long)minneri,
                   2061:                        "but only for addition, not multiplication",
                   2062:                        "(I smell a Cyber!)",
                   2063:                        oc);
                   2064:        }
                   2065: }
                   2066: 
                   2067: Procedure UPROP () {
                   2068:        /* The properties of unsigned short/int/long */
                   2069: #ifdef OK_UI
                   2070:        Volatile unsigned Integer u_max, newi, two;
                   2071:        newi=1; u_max=0; two=2;
                   2072: 
                   2073:        if (setjmp(lab)==0) { /* Yields u_max */
                   2074:                while(newi>u_max) {
                   2075:                        u_max=newi;
                   2076:                        newi=newi*two+1;
                   2077:                }
                   2078:        }
                   2079:        Unexpected(11);
                   2080:        Vprintf("%sMaximum unsigned %s = %lu%s\n",
                   2081:                co, INT, (unsigned long) u_max, oc);
                   2082: 
                   2083:        /* Oh woe: new standard C defines value preserving promotions */
                   2084:        if (L) {
                   2085:                if (PASS == 1 && sizeof(short) < sizeof(int)) {
                   2086:                        /* Special only for short */
                   2087:                        i_define(D_UINT_MAX, INT, Uname, "_MAX",
                   2088:                                 (unsigned long) u_max, 0L,
                   2089:                                 (unsigned long) U_MAX, IMARK);
                   2090:                } else {
                   2091:                        u_define(D_UINT_MAX, INT, Uname, "_MAX",
                   2092:                                 (unsigned long) u_max,
                   2093:                                 (unsigned long) U_MAX, IMARK);
                   2094:                }
                   2095:        }
                   2096: #endif
                   2097: }
                   2098: 
                   2099: #endif /* Integer */
                   2100: 
                   2101: #ifdef Number
                   2102: 
                   2103: /* The following routines are intended to defeat any attempt at optimisation
                   2104:    or use of extended precision, and to defeat faulty narrowing casts.
                   2105:    The weird prototypes are because of widening incompatibilities.
                   2106: */
                   2107: #ifdef STDC
                   2108: #define ARGS1(atype, a) (atype a)
                   2109: #define ARGS2(atype, a, btype, b) (atype a, btype b)
                   2110: #else
                   2111: #define ARGS1(atype, a) (a) atype a;
                   2112: #define ARGS2(atype, a, btype, b) (a, b) atype a; btype b;
                   2113: #endif
                   2114: 
                   2115: Procedure Store ARGS2(Number, a, Number *, b) { *b=a; }
                   2116: Number Sum ARGS2(Number, a, Number, b) {Number r; Store(a+b, &r); return (r); }
                   2117: Number Diff ARGS2(Number, a, Number, b){Number r; Store(a-b, &r); return (r); }
                   2118: Number Mul ARGS2(Number, a, Number, b) {Number r; Store(a*b, &r); return (r); }
                   2119: Number Div ARGS2(Number, a, Number, b) {Number r; Store(a/b, &r); return (r); }
                   2120: Number Self ARGS1(Number, a)          {Number r; Store(a,   &r); return (r); }
                   2121: 
                   2122: Procedure F_check ARGS((int precision, Long_double val1));
                   2123: 
                   2124: Procedure F_check(precision, val1) int precision; Long_double val1; {
                   2125:        /* You don't think I'm going to go to all the trouble of writing
                   2126:           a program that works out what all sorts of values are, only to
                   2127:           have printf go and print the wrong values out, do you?
                   2128:           No, you're right, so this function tries to see if printf
                   2129:           has written the right value, by reading it back again.
                   2130:           This introduces a new problem of course: suppose printf writes
                   2131:           the correct value, and scanf reads it back wrong... oh well.
                   2132:           But I'm adamant about this: the precision given is enough
                   2133:           to uniquely identify the printed number, therefore I insist
                   2134:           that sscanf read the number back identically. Harsh yes, but
                   2135:           sometimes you've got to be cruel to be kind.
                   2136:        */
                   2137:        Long_double new1;
                   2138:        Number val, new, diff;
                   2139:        double rem;
                   2140:        int e;
                   2141:        char *rep;
                   2142:        char *f2;
                   2143: 
                   2144:        if (sizeof(double) == sizeof(Long_double)) {
                   2145:                /* Assume they're the same, and use non-stdc format */
                   2146:                /* This is for stdc compilers using non-stdc libraries */
                   2147:                f2= "%le";   /* Input */
                   2148:        } else {
                   2149:                /* It had better support Le then */
                   2150:                f2= "%Le";
                   2151:        }
                   2152:        val= val1;
                   2153:        rep= f_rep(precision, (Long_double) val);
                   2154:        if (setjmp(lab)==0) {
                   2155:                sscanf(rep, f2, &new1);
                   2156:        } else {
                   2157:                eek_a_bug("sscanf caused a trap");
                   2158:                printf("%s    scanning: %s format: %s%s\n\n", co, rep, f2, oc);
                   2159:                Unexpected(12);
                   2160:                return;
                   2161:        }
                   2162: 
                   2163:        if (setjmp(lab)==0) { /* See if new is usable */
                   2164:                new= new1;
                   2165:                if (new != 0.0) {
                   2166:                        diff= val/new - 1.0;
                   2167:                        if (diff < 0.1) diff= 1.0;
                   2168:                        /* That should be enough to generate a trap */
                   2169:                }
                   2170:        } else {
                   2171:                eek_a_bug("sscanf returned an unusable number");
                   2172:                printf("%s    scanning: %s with format: %s%s\n\n",
                   2173:                       co, rep, f2, oc);
                   2174:                Unexpected(13);
                   2175:                return;
                   2176:        }
                   2177: 
                   2178:        Unexpected(14);
                   2179:        if (new != val) {
                   2180:                eek_a_bug("Possibly bad output from printf above");
                   2181:                if (!exponent((Long_double)val, &rem, &e)) {
                   2182:                        printf("%s    but value was an unusable number%s\n\n",
                   2183:                               co, oc);
                   2184:                        return;
                   2185:                }
                   2186:                printf("%s    expected value around %.*fe%d, bit pattern:\n    ",
                   2187:                       co, precision, rem, e);
                   2188:                bitpattern((char *) &val, (unsigned)sizeof(val));
                   2189:                printf ("%s\n", oc);
                   2190:                printf("%s    sscanf gave           %s, bit pattern:\n    ",
                   2191:                       co, f_rep(precision, (Long_double) new));
                   2192:                bitpattern((char *) &new, (unsigned)sizeof(new));
                   2193:                printf ("%s\n", oc);
                   2194:                if (setjmp(lab) == 0) {
                   2195:                        diff= val-new;
                   2196:                        printf("%s    difference= %s%s\n\n",
                   2197:                               co, f_rep(precision, (Long_double) diff), oc);
                   2198:                } /* else forget it */
                   2199:                Unexpected(15);
                   2200:        }
                   2201: }
                   2202: 
                   2203: #ifdef VERIFY
                   2204: Procedure Validate(prec, val, req, same) int prec, same; Long_double val, req; {
                   2205:        /* Check that the compiler has read a #define value correctly */
                   2206:        Unexpected(16);
                   2207:        if (!same) {
                   2208:                printf("%s*** Verify failed for above #define!\n", co);
                   2209:                if (setjmp(lab) == 0) { /* for the case that req == nan */
                   2210:                        printf("       Compiler has %s for value%s\n",
                   2211:                               f_rep(prec, req), oc);
                   2212:                } else {
                   2213:                        printf("       Compiler has %s for value%s\n",
                   2214:                               "an unusable number", oc);
                   2215:                }
                   2216:                if (setjmp(lab) == 0) {
                   2217:                        F_check(prec, (Long_double) req);
                   2218:                } /*else forget it*/
                   2219:                if (setjmp(lab) == 0) {
                   2220:                        if (req > 0.0 && val > 0.0) {
                   2221:                                printf("%s    difference= %s%s\n",
                   2222:                                       co, f_rep(prec, val-req), oc);
                   2223:                        }
                   2224:                } /*else forget it*/
                   2225:                Unexpected(17);
                   2226:                printf("\n");
                   2227:                bugs++;
                   2228:        } else if (val != req) {
                   2229:                if (stdc) eek_a_bug("constant has the wrong precision");
                   2230:                else eek_a_bug("the cast didn't work");
                   2231:                printf("\n");
                   2232:        }
                   2233: }
                   2234: #endif /* VERIFY */
                   2235: 
                   2236: int FPROP(bits_per_byte) int bits_per_byte; {
                   2237:        /* Properties of floating types, using algorithms by Cody and Waite
                   2238:           from MA Malcolm, as modified by WM Gentleman and SB Marovich.
                   2239:           Further extended by S Pemberton.
                   2240: 
                   2241:           Returns the number of digits in the fraction.
                   2242:        */
                   2243: 
                   2244:        Volatile int
                   2245:                i, f_radix, iexp, irnd, mrnd, f_rounds, f_mant_dig,
                   2246:                iz, k, inf, machep, f_max_exp, f_min_exp, mx, negeps,
                   2247:                mantbits, digs, f_dig, trap,
                   2248:                hidden, normal, f_min_10_exp, f_max_10_exp;
                   2249:        Volatile Number
                   2250:                a, b, base, basein, basem1, f_epsilon, epsneg,
                   2251:                eps, epsp1, etop, ebot,
                   2252:                f_max, newxmax, f_min, xminner, y, y1, z, z1, z2;
                   2253: 
                   2254:        Unexpected(18);
                   2255: 
                   2256:        Vprintf("%sPROPERTIES OF %s%s\n", co, THING, oc);
                   2257: 
                   2258:        /* Base and size of significand **************************************/
                   2259:        /* First repeatedly double until adding 1 has no effect.          */
                   2260:        /* For instance, if base is 10, with 3 significant digits         */
                   2261:        /* it will try 1, 2, 4, 8, ... 512, 1024, and stop there,         */
                   2262:        /* since 1024 is only representable as 1020.                      */
                   2263:        a=1.0;
                   2264:        if (setjmp(lab)==0) { /* inexact trap? */
                   2265:                do { a=Sum(a, a); }
                   2266:                while (Diff(Diff(Sum(a, ONE), a), ONE) == ZERO);
                   2267:        } else {
                   2268:                fprintf(stderr, "*** Program got loss-of-precision trap!\n");
                   2269:                /* And supporting those is just TOO much trouble! */
                   2270:                farewell(bugs+1);
                   2271:        }
                   2272:        Unexpected(19);
                   2273:        /* Now double until you find a number that can be added to the    */
                   2274:        /* above number. For 1020 this is 8 or 16, depending whether the  */
                   2275:        /* result is rounded or truncated.                                */
                   2276:        /* In either case the result is 1030. 1030-1020= the base, 10.    */
                   2277:        b=1.0;
                   2278:        do { b=Sum(b, b); } while ((base=Diff(Sum(a, b), a)) == ZERO);
                   2279:        f_radix=base;
                   2280:        Vprintf("%sBase = %d%s\n", co, f_radix, oc);
                   2281: 
                   2282:        /* Sanity check; if base<2, I can't guarantee the rest will work  */
                   2283:        if (f_radix < 2) {
                   2284:                eek_a_bug("Function return or parameter passing faulty? (This is a guess.)");
                   2285:                printf("\n");
                   2286:                return(0);
                   2287:        }
                   2288: 
                   2289:        if (PASS == 1) { /* only for FLT */
                   2290:                flt_radix= f_radix;
                   2291:                if (F) i_define(D_FLT_RADIX, "", "FLT", "_RADIX",
                   2292:                                (long) f_radix, 0L, (long) F_RADIX, "");
                   2293:        } else if (f_radix != flt_radix) {
                   2294:                printf("\n%s*** WARNING: %s %s (%d) %s%s\n",
                   2295:                       co, thing, "arithmetic has a different radix",
                   2296:                       f_radix, "from float", oc);
                   2297:                bugs++;
                   2298:        }
                   2299: 
                   2300:        /* Now the number of digits precision */
                   2301:        f_mant_dig=0; b=1.0;
                   2302:        do { f_mant_dig++; b=Mul(b, base); }
                   2303:        while (Diff(Diff(Sum(b, ONE), b), ONE) == ZERO);
                   2304:        f_dig=floor_log(10, (Long_double)(b/base)) + (base==10?1:0);
                   2305:        Vprintf("%sSignificant base digits = %d %s %d %s%s\n",
                   2306:                co, f_mant_dig, "(= at least", f_dig, "decimal digits)", oc);
                   2307:        if (F) i_define(D_MANT_DIG, thing, Fname, "_MANT_DIG",
                   2308:                        (long) f_mant_dig, 0L, (long) F_MANT_DIG, "");
                   2309:        if (F) i_define(D_DIG, thing, Fname, "_DIG",
                   2310:                        (long) f_dig, 0L, (long) F_DIG, "");
                   2311:        digs= ceil_log(10, (Long_double)b); /* the number of digits to printf */
                   2312: 
                   2313:        /* Rounding *******************************************************/
                   2314:        basem1=Diff(base, HALF);
                   2315:        if (Diff(Sum(a, basem1), a) != ZERO) {
                   2316:                if (f_radix == 2) basem1=0.375;
                   2317:                else basem1=1.0;
                   2318:                if (Diff(Sum(a, basem1), a) != ZERO) irnd=2; /* away from 0 */
                   2319:                else irnd=1; /* to nearest */
                   2320:        } else irnd=0; /* towards 0 */
                   2321: 
                   2322:        basem1=Diff(base, HALF);
                   2323: 
                   2324:        if (Diff(Diff(-a, basem1), -a) != ZERO) {
                   2325:                if (f_radix == 2) basem1=0.375;
                   2326:                else basem1=1.0;
                   2327:                if (Diff(Diff(-a, basem1), -a) != ZERO) mrnd=2; /* away from 0*/
                   2328:                else mrnd=1; /* to nearest */
                   2329:        } else mrnd=0; /* towards 0 */
                   2330: 
                   2331:        f_rounds= -1; /* Unknown rounding */
                   2332:        if (irnd==0 && mrnd==0) f_rounds=0; /* zero = chops */
                   2333:        if (irnd==1 && mrnd==1) f_rounds=1; /* nearest */
                   2334:        if (irnd==2 && mrnd==0) f_rounds=2; /* +inf */
                   2335:        if (irnd==0 && mrnd==2) f_rounds=3; /* -inf */
                   2336: 
                   2337:        if (f_rounds != -1) {
                   2338:                Vprintf("%sArithmetic rounds towards ", co);
                   2339:                switch (f_rounds) {
                   2340:                      case 0: Vprintf("zero (i.e. it chops)"); break;
                   2341:                      case 1: Vprintf("nearest"); break;
                   2342:                      case 2: Vprintf("+infinity"); break;
                   2343:                      case 3: Vprintf("-infinity"); break;
                   2344:                      default: Vprintf("???"); break;
                   2345:                }
                   2346:                Vprintf("%s\n", oc);
                   2347:        } else { /* Hmm, try to give some help here */
                   2348:                Vprintf("%sArithmetic rounds oddly: %s\n", co, oc);
                   2349:                Vprintf("%s    Negative numbers %s%s\n",
                   2350:                        co, mrnd==0 ? "towards zero" :
                   2351:                            mrnd==1 ? "to nearest" :
                   2352:                                      "away from zero",
                   2353:                        oc);
                   2354:                Vprintf("%s    Positive numbers %s%s\n",
                   2355:                        co, irnd==0 ? "towards zero" :
                   2356:                            irnd==1 ? "to nearest" :
                   2357:                                      "away from zero",
                   2358:                        oc);
                   2359:        }
                   2360:        /* An extra goody */
                   2361:        if (f_radix == 2 && f_rounds == 1) {
                   2362:                if (Diff(Sum(a, ONE), a) != ZERO) {
                   2363:                        Vprintf("%s   Tie breaking rounds up%s\n", co, oc);
                   2364:                } else if (Diff(Sum(a, THREE), a) == FOUR) {
                   2365:                        Vprintf("%s   Tie breaking rounds to even%s\n", co, oc);
                   2366:                } else {
                   2367:                        Vprintf("%s   Tie breaking rounds down%s\n", co, oc);
                   2368:                }
                   2369:        }
                   2370:        if (PASS == 1) { /* only for FLT */
                   2371:                flt_rounds= f_rounds;
                   2372:                if (F)
                   2373:                  i_define(D_FLT_ROUNDS, "", "FLT", "_ROUNDS",
                   2374:                           (long) f_rounds, 1L, (long) F_ROUNDS, "");
                   2375:        } else if (f_rounds != flt_rounds) {
                   2376:                printf("\n%s*** WARNING: %s %s (%d) %s%s\n",
                   2377:                       co, thing, "arithmetic rounds differently",
                   2378:                       f_rounds, "from float", oc);
                   2379:                bugs++;
                   2380:        }
                   2381: 
                   2382:        /* Various flavours of epsilon ************************************/
                   2383:        negeps=f_mant_dig+f_mant_dig;
                   2384:        basein=1.0/base;
                   2385:        a=1.0;
                   2386:        for(i=1; i<=negeps; i++) a*=basein;
                   2387: 
                   2388:        b=a;
                   2389:        while (Diff(Diff(ONE, a), ONE) == ZERO) {
                   2390:                a*=base;
                   2391:                negeps--;
                   2392:        }
                   2393:        negeps= -negeps;
                   2394:        Vprintf("%sSmallest x such that 1.0-base**x != 1.0 = %d%s\n",
                   2395:                co, negeps, oc);
                   2396: 
                   2397:        etop = ONE;
                   2398:        ebot = ZERO;
                   2399:        eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
                   2400:        /* find the smallest epsneg (1-epsneg != 1) by binary search.
                   2401:           ebot and etop are the current bounds */
                   2402:        while (eps != ebot && eps != etop) {
                   2403:                epsp1 = Diff(ONE, eps);
                   2404:                if (epsp1 < ONE) etop = eps;
                   2405:                else ebot = eps;
                   2406:                eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
                   2407:        }
                   2408:        eps= etop;
                   2409:        /* Sanity check */
                   2410:        if (Diff(ONE, etop) >= ONE || Diff(ONE, ebot) != ONE) {
                   2411:                eek_a_bug("internal error calculating epsneg");
                   2412:        }
                   2413:        Vprintf("%sSmallest x such that 1.0-x != 1.0 = %s%s\n",
                   2414:                co, f_rep(digs, (Long_double) eps), oc);
                   2415:        if (V) F_check(digs, (Long_double) eps);
                   2416: 
                   2417:        epsneg=a;
                   2418:        if ((f_radix!=2) && irnd) {
                   2419:        /*      a=(a*(1.0+a))/(1.0+1.0); => */
                   2420:                a=Div(Mul(a, Sum(ONE, a)), Sum(ONE, ONE));
                   2421:        /*      if ((1.0-a)-1.0 != 0.0) epsneg=a; => */
                   2422:                if (Diff(Diff(ONE, a), ONE) != ZERO) epsneg=a;
                   2423:        }
                   2424:        /* epsneg is used later */
                   2425:        Unexpected(20);
                   2426: 
                   2427:        machep= -f_mant_dig-f_mant_dig;
                   2428:        a=b;
                   2429:        while (Diff(Sum(ONE, a), ONE) == ZERO) { a*=base; machep++; }
                   2430:        Vprintf("%sSmallest x such that 1.0+base**x != 1.0 = %d%s\n",
                   2431:                co, machep, oc);
                   2432: 
                   2433:        etop = ONE;
                   2434:        ebot = ZERO;
                   2435:        eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
                   2436:        /* find the smallest eps (1+eps != 1) by binary search.
                   2437:           ebot and etop are the current bounds */
                   2438:        while (eps != ebot && eps != etop) {
                   2439:                epsp1 = Sum(ONE, eps);
                   2440:                if (epsp1 > ONE) etop = eps;
                   2441:                else ebot = eps;
                   2442:                eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
                   2443:        }
                   2444:        /* Sanity check */
                   2445:        if (Sum(ONE, etop) <= ONE || Sum(ONE, ebot) != ONE) {
                   2446:                eek_a_bug("internal error calculating eps");
                   2447:        }
                   2448:        f_epsilon=etop;
                   2449: 
                   2450:        Vprintf("%sSmallest x such that 1.0+x != 1.0 = %s%s\n",
                   2451:                co, f_rep(digs, (Long_double) f_epsilon), oc);
                   2452: 
                   2453:        f_epsilon= Diff(Sum(ONE, f_epsilon), ONE); /* New C standard defn */
                   2454:        Vprintf("%s(Above number + 1.0) - 1.0 = %s%s\n",
                   2455:                co, f_rep(digs, (Long_double) (f_epsilon)), oc);
                   2456: 
                   2457:        /* Possible loss of precision warnings here from non-stdc compilers */
                   2458:        if (F) f_define(D_EPSILON, thing,
                   2459:                        Fname, "_EPSILON", digs, (Long_double) f_epsilon, MARK);
                   2460:        if (V || F) F_check(digs, (Long_double) f_epsilon);
                   2461:        Unexpected(21);
                   2462:        if (F) Validate(digs, (Long_double) f_epsilon, (Long_double) F_EPSILON,
                   2463:                        f_epsilon == Self(F_EPSILON));
                   2464:        Unexpected(22);
                   2465: 
                   2466:        /* Extra chop info *************************************************/
                   2467:        if (f_rounds == 0) {
                   2468:                if (Diff(Mul(Sum(ONE,f_epsilon),ONE),ONE) !=  ZERO) {
                   2469:                        Vprintf("%sAlthough arithmetic chops, it uses guard digits%s\n", co, oc);
                   2470:                }
                   2471:        }
                   2472: 
                   2473:        /* Size of and minimum normalised exponent ************************/
                   2474:        y=0; i=0; k=1; z=basein; z1=(1.0+f_epsilon)/base;
                   2475: 
                   2476:        /* Coarse search for the largest power of two */
                   2477:        if (setjmp(lab)==0) { /* for underflow trap */ /* Yields i, k, y, y1 */
                   2478:                do {
                   2479:                        y=z; y1=z1;
                   2480:                        z=Mul(y,y); z1=Mul(z1, y);
                   2481:                        a=Mul(z,ONE);
                   2482:                        z2=Div(z1,y);
                   2483:                        if (z2 != y1) break;
                   2484:                        if ((Sum(a,a) == ZERO) || (fabs(z) >= y)) break;
                   2485:                        i++;
                   2486:                        k+=k;
                   2487:                } while(1);
                   2488:        } else {
                   2489:                Vprintf("%s%s underflow generates a trap%s\n", co, Thing, oc);
                   2490:        }
                   2491:        Unexpected(23);
                   2492: 
                   2493:        if (f_radix != 10) {
                   2494:                iexp=i+1; /* for the sign */
                   2495:                mx=k+k;
                   2496:        } else {
                   2497:                iexp=2;
                   2498:                iz=f_radix;
                   2499:                while (k >= iz) { iz*=f_radix; iexp++; }
                   2500:                mx=iz+iz-1;
                   2501:        }
                   2502: 
                   2503:        /* Fine tune starting with y and y1 */
                   2504:        if (setjmp(lab)==0) { /* for underflow trap */ /* Yields k, f_min */
                   2505:                do {
                   2506:                        f_min=y; z1=y1;
                   2507:                        y=Div(y,base); y1=Div(y1,base);
                   2508:                        a=Mul(y,ONE);
                   2509:                        z2=Mul(y1,base);
                   2510:                        if (z2 != z1) break;
                   2511:                        if ((Sum(a,a) == ZERO) || (fabs(y) >= f_min)) break;
                   2512:                        k++;
                   2513:                } while (1);
                   2514:        }
                   2515:        Unexpected(24);
                   2516: 
                   2517:        f_min_exp=(-k)+1;
                   2518: 
                   2519:        if ((mx <= k+k-3) && (f_radix != 10)) { mx+=mx; iexp+=1; }
                   2520:        Vprintf("%sNumber of bits used for exponent = %d%s\n", co, iexp, oc);
                   2521:        Vprintf("%sMinimum normalised exponent = %d%s\n", co, f_min_exp-1, oc);
                   2522:        if (F)
                   2523:          i_define(D_MIN_EXP, thing, Fname, "_MIN_EXP",
                   2524:                   (long) f_min_exp, (long) maxint, (long) F_MIN_EXP, "");
                   2525: 
                   2526:        if (setjmp(lab)==0) {
                   2527:                Vprintf("%sMinimum normalised positive number = %s%s\n",
                   2528:                        co, f_rep(digs, (Long_double) f_min), oc);
                   2529:        } else {
                   2530:                eek_a_bug("printf can't print the smallest normalised number");
                   2531:                printf("\n");
                   2532:        }
                   2533:        Unexpected(25);
                   2534:        /* Possible loss of precision warnings here from non-stdc compilers */
                   2535:        if (setjmp(lab) == 0) {
                   2536:                if (F) f_define(D_MIN, thing,
                   2537:                                Fname, "_MIN", digs, (Long_double) f_min, MARK);
                   2538:                if (V || F) F_check(digs, (Long_double) f_min);
                   2539:        } else {
                   2540:                eek_a_bug("xxx_MIN caused a trap");
                   2541:                printf("\n");
                   2542:        }
                   2543: 
                   2544:        if (setjmp(lab) == 0) {
                   2545:                if (F) Validate(digs, (Long_double) f_min, (Long_double) F_MIN,
                   2546:                                f_min == Self(F_MIN));
                   2547:        } else {
                   2548:                printf("%s*** Verify failed for above #define!\n    %s %s\n\n",
                   2549:                       co, "Compiler has an unusable number for value", oc);
                   2550:                bugs++;
                   2551:        }
                   2552:        Unexpected(26);
                   2553: 
                   2554:        a=1.0; f_min_10_exp=0;
                   2555:        while (a > f_min*10.0) { a/=10.0; f_min_10_exp--; }
                   2556:        if (F) i_define(D_MIN_10_EXP, thing, Fname, "_MIN_10_EXP",
                   2557:                        (long) f_min_10_exp, (long) maxint,
                   2558:                        (long) F_MIN_10_EXP, "");
                   2559: 
                   2560:        /* Minimum exponent ************************************************/
                   2561:        if (setjmp(lab)==0) { /* for underflow trap */ /* Yields xminner */
                   2562:                do {
                   2563:                        xminner=y;
                   2564:                        y=Div(y,base);
                   2565:                        a=Mul(y,ONE);
                   2566:                        if ((Sum(a,a) == ZERO) || (fabs(y) >= xminner)) break;
                   2567:                } while (1);
                   2568:        }
                   2569:        Unexpected(27);
                   2570: 
                   2571:        if (xminner != 0.0 && xminner != f_min) {
                   2572:                normal= 0;
                   2573:                Vprintf("%sThe smallest numbers are not kept normalised%s\n",
                   2574:                        co, oc);
                   2575:                if (setjmp(lab)==0) {
                   2576:                    Vprintf("%sSmallest unnormalised positive number = %s%s\n",
                   2577:                            co, f_rep(digs, (Long_double) xminner), oc);
                   2578:                    if (V) F_check(digs, (Long_double) xminner);
                   2579:                } else {
                   2580:                        eek_a_bug("printf can't print the smallest unnormalised number.");
                   2581:                        printf("\n");
                   2582:                }
                   2583:                Unexpected(28);
                   2584:        } else {
                   2585:                normal= 1;
                   2586:                Vprintf("%sThe smallest numbers are normalised%s\n", co, oc);
                   2587:        }
                   2588: 
                   2589:        /* Maximum exponent ************************************************/
                   2590:        f_max_exp=2; f_max=1.0; newxmax=base+1.0;
                   2591:        inf=0; trap=0;
                   2592:        while (f_max<newxmax) {
                   2593:                f_max=newxmax;
                   2594:                if (setjmp(lab) == 0) { /* Yields inf, f_max_exp */
                   2595:                        newxmax=Mul(newxmax, base);
                   2596:                } else {
                   2597:                        trap=1;
                   2598:                        break;
                   2599:                }
                   2600:                if (Div(newxmax, base) != f_max) {
                   2601:                        inf=1; /* ieee infinity */
                   2602:                        break;
                   2603:                }
                   2604:                f_max_exp++;
                   2605:        }
                   2606:        Unexpected(29);
                   2607:        if (trap) {
                   2608:                Vprintf("%s%s overflow generates a trap%s\n", co, Thing, oc);
                   2609:        }
                   2610: 
                   2611:        if (inf) Vprintf("%sThere is an 'infinite' value%s\n", co, oc);
                   2612:        Vprintf("%sMaximum exponent = %d%s\n", co, f_max_exp, oc);
                   2613:        if (F) i_define(D_MAX_EXP, thing, Fname, "_MAX_EXP",
                   2614:                        (long) f_max_exp, 0L, (long) F_MAX_EXP, "");
                   2615: 
                   2616:        /* Largest number ***************************************************/
                   2617:        f_max=Diff(ONE, epsneg);
                   2618:        if (Mul(f_max,ONE) != f_max) f_max=Diff(ONE, Mul(base,epsneg));
                   2619:        for (i=1; i<=f_max_exp; i++) f_max=Mul(f_max, base);
                   2620: 
                   2621:        if (setjmp(lab)==0) {
                   2622:                Vprintf("%sMaximum number = %s%s\n",
                   2623:                        co, f_rep(digs, (Long_double) f_max), oc);
                   2624:        } else {
                   2625:                eek_a_bug("printf can't print the largest double.");
                   2626:                printf("\n");
                   2627:        }
                   2628:        if (setjmp(lab)==0) {
                   2629:        /* Possible loss of precision warnings here from non-stdc compilers */
                   2630:                if (F) f_define(D_MAX, thing,
                   2631:                                Fname, "_MAX", digs, (Long_double) f_max, MARK);
                   2632:                if (V || F) F_check(digs, (Long_double) f_max);
                   2633:        } else {
                   2634:                eek_a_bug("xxx_MAX caused a trap");
                   2635:                printf("\n");
                   2636:        }
                   2637:        if (setjmp(lab)==0) {
                   2638:                if (F) Validate(digs, (Long_double) f_max, (Long_double) F_MAX,
                   2639:                                f_max == Self(F_MAX));
                   2640:        } else {
                   2641:                printf("%s*** Verify failed for above #define!\n    %s %s\n\n",
                   2642:                       co, "Compiler has an unusable number for value", oc);
                   2643:                bugs++;
                   2644:        }
                   2645:        Unexpected(30);
                   2646: 
                   2647:        a=1.0; f_max_10_exp=0;
                   2648:        while (a < f_max/10.0) { a*=10.0; f_max_10_exp++; }
                   2649:        if (F) i_define(D_MAX_10_EXP, thing, Fname, "_MAX_10_EXP",
                   2650:                        (long) f_max_10_exp, 0L, (long) F_MAX_10_EXP, "");
                   2651: 
                   2652:        /* Hidden bit + sanity check ****************************************/
                   2653:        if (f_radix != 10) {
                   2654:                hidden=0;
                   2655:                mantbits=floor_log(2, (Long_double)f_radix)*f_mant_dig;
                   2656:                if (mantbits+iexp == (int)sizeof(Number)*bits_per_byte) {
                   2657:                        hidden=1;
                   2658:                        Vprintf("%sArithmetic uses a hidden bit%s\n", co, oc);
                   2659:                } else if (mantbits+iexp+1 == (int)sizeof(Number)*bits_per_byte) {
                   2660:                        Vprintf("%sArithmetic doesn't use a hidden bit%s\n",
                   2661:                                co, oc);
                   2662:                } else {
                   2663:                        printf("\n%s%s\n    %s %s %s!%s\n\n",
                   2664:                               co,
                   2665:                               "*** Something fishy here!",
                   2666:                               "Exponent size + significand size doesn't match",
                   2667:                               "with the size of a", thing,
                   2668:                               oc);
                   2669:                }
                   2670:                if (hidden && f_radix == 2 && f_max_exp+f_min_exp==3) {
                   2671:                        Vprintf("%sIt looks like %s length IEEE format%s\n",
                   2672:                                co, f_mant_dig==24 ? "single" :
                   2673:                                    f_mant_dig==53 ? "double" :
                   2674:                                    f_mant_dig >53 ? "extended" :
                   2675:                                                "some", oc);
                   2676:                        if (f_rounds != 1 || normal) {
                   2677:                                Vprintf("%s   though ", co);
                   2678:                                if (f_rounds != 1) {
                   2679:                                        Vprintf("the rounding is unusual");
                   2680:                                        if (normal) Vprintf(" and ");
                   2681:                                }
                   2682:                                if (normal) Vprintf("the normalisation is unusual");
                   2683:                                Vprintf("%s\n", oc);
                   2684:                        }
                   2685:                } else {
                   2686:                        Vprintf("%sIt doesn't look like IEEE format%s\n",
                   2687:                                co, oc);
                   2688:                }
                   2689:        }
                   2690:        printf("\n"); /* regardless of verbosity */
                   2691:        return f_mant_dig;
                   2692: }
                   2693: 
                   2694: Procedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {
                   2695:        /* See if expressions are evaluated in extended precision.
                   2696:           Some compilers optimise even if you don't want it,
                   2697:           and then this function fails to produce the right result.
                   2698:           We try to diagnose this if it happens.
                   2699:        */
                   2700:        Volatile int eprec;
                   2701:        Volatile double a, b, base, old;
                   2702:        Volatile Number d, oldd, dbase, one, zero;
                   2703:        Volatile int bad=0;
                   2704: 
                   2705:        /* Size of significand **************************************/
                   2706:        a=1.0;
                   2707:        if (setjmp(lab) == 0) { /* Yields nothing */
                   2708:                do { old=a; a=a+a; }
                   2709:                while ((((a+1.0)-a)-1.0) == 0.0 && a>old);
                   2710:        } else bad=1;
                   2711: 
                   2712:        /* Avoid the comparison if bad is set,
                   2713:           to avoid trouble on the convex.  */
                   2714:        if (!bad && (a <= old)) bad=1;
                   2715: 
                   2716:        if (!bad) {
                   2717:                b=1.0;
                   2718:                if (setjmp(lab) == 0) { /* Yields nothing */
                   2719:                        do { old=b; b=b+b; }
                   2720:                        while ((base=((a+b)-a)) == 0.0 && b>old);
                   2721:                        if (b <= old) bad=1;
                   2722:                } else bad=1;
                   2723:        }
                   2724: 
                   2725:        if (!bad) {
                   2726:                eprec=0; d=1.0; dbase=base; one=1.0; zero=0.0;
                   2727:                if (setjmp(lab) == 0) { /* Yields nothing */
                   2728:                        do { eprec++; oldd=d; d=d*dbase; }
                   2729:                        while ((((d+one)-d)-one) == zero && d>oldd);
                   2730:                        if (d <= oldd) bad=1;
                   2731:                } else bad=1;
                   2732:        }
                   2733: 
                   2734:        Unexpected(31);
                   2735: 
                   2736:        if (bad) {
                   2737:          Vprintf("%sCan't determine precision for %s expressions:\n%s%s\n",
                   2738:                 co, thing, "   check that you compiled without optimisation!",
                   2739:                 oc);
                   2740:        } else if (eprec==dprec) {
                   2741:          Vprintf("%s%s expressions are evaluated in double precision%s\n",
                   2742:                  co, Thing, oc);
                   2743:        } else if (eprec==fprec) {
                   2744:          Vprintf("%s%s expressions are evaluated in float precision%s\n",
                   2745:                  co, Thing, oc);
                   2746:        } else if (eprec==lprec) {
                   2747:          Vprintf("%s%s expressions are evaluated in long double precision%s\n",
                   2748:                  co, Thing, oc);
                   2749:        } else {
                   2750:                Vprintf("%s%s expressions are evaluated in a %s %s %d %s%s\n",
                   2751:                        co, Thing, eprec>dprec ? "higher" : "lower",
                   2752:                        "precision than double,\n   using",
                   2753:                        eprec, "base digits",
                   2754:                        oc);
                   2755:        }
                   2756: }
                   2757: 
                   2758: #else /* not Number */
                   2759: 
                   2760: #ifdef FPROP /* Then create dummy routines for long double */
                   2761: /* ARGSUSED */
                   2762: int FPROP(bits_per_byte) int bits_per_byte; { return 0; }
                   2763: #endif
                   2764: #ifdef EPROP
                   2765: /* ARGSUSED */
                   2766: Procedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {}
                   2767: #endif
                   2768: 
                   2769: #endif /* ifdef Number */
                   2770: 
                   2771: /* Increment the pass number */
                   2772: #undef PASS
                   2773: 
                   2774: #ifdef PASS2
                   2775: #undef PASS2
                   2776: #define PASS 3
                   2777: #define PASS3 1
                   2778: #endif
                   2779: 
                   2780: #ifdef PASS1
                   2781: #undef PASS1
                   2782: #define PASS 2
                   2783: #define PASS2 1
                   2784: #endif
                   2785: 
                   2786: #ifdef PASS0
                   2787: #undef PASS0
                   2788: #endif
                   2789: 
                   2790: #ifdef PASS /* then rescan this file */
                   2791: #ifdef NO_FILE
                   2792: #include "enquire.c"
                   2793: #else
                   2794: #include FILENAME  /* if this line fails to compile, define NO_FILE */
                   2795: #endif
                   2796: #endif /* PASS */
                   2797: 

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