| /* Everything you wanted to know about your machine and C compiler, |
| but didn't know who to ask. */ |
| |
| #ifndef VERSION |
| #define VERSION "4.3" |
| #endif |
| |
| /* Author: Steven Pemberton, CWI, Amsterdam; steven@cwi.nl |
| Bugfixes and upgrades gratefully received. |
| |
| Copyright (c) 1988, 1989, 1990 Steven Pemberton, CWI, Amsterdam. |
| All rights reserved. |
| |
| Changes by Richard Stallman: |
| Undef CHAR_BIT, etc., if defined in stdio.h, Richard Stallman, Aug 90. |
| In EPROP, avoid a <= old if bad is set, Richard Stallman, May 91. |
| Use gstddef.h, not stddef.h, Richard Stallman, Nov 91. |
| Don't declare malloc, instead cast the value, Richard Stallman, Nov 91. |
| Include sys/types.h before signal.h, Apr 92. |
| Support NO_LONG_DOUBLE_IO in f_define and f_rep; new fn fake_f_rep, Apr 92. |
| Enclose -f output in #ifndef _FLOAT_H___, Richard Stallman, May 92. |
| |
| Change by Jim Wilson: |
| Add #undef before every #define, Dec 92. |
| Use stddef.h not gstddef.h, Mar 94. |
| |
| Changes by Paul Eggert, installed Feb 93: |
| (fake_f_rep): Clear all of u, initially. Make the ints in u unsigned. |
| (f_define): Use ordinary constants for long double |
| if it's same width as double. Make __convert_long_double_i unsigned. |
| Richard Stallman, May 93: |
| In F_check, check NO_LONG_DOUBLE_IO. |
| |
| Changes by Stephen Moshier, installed Sep 93: |
| (FPROP): Recognize 80387 or 68881 XFmode format. |
| |
| |
| COMPILING |
| With luck and a following wind, just the following will work: |
| cc enquire.c -o enquire |
| You may get some messages about unreachable code, which you can ignore. |
| |
| If your compiler doesn't support: add flag: |
| signed char (eg pcc) -DNO_SC |
| unsigned char -DNO_UC |
| unsigned short and long -DNO_UI |
| void -DNO_VOID |
| signal(), or setjmp/longjmp() -DNO_SIG |
| %Lf in printf -DNO_LONG_DOUBLE_IO |
| |
| Try to compile first with no flags, and see if you get any errors - |
| you might be surprised. (Most non-ANSI compilers need -DNO_SC, though.) |
| Some compilers need a -f flag for floating point. |
| |
| Don't use any optimisation flags: the program may not work if you do. |
| Though "while (a+1.0-a-1.0 == 0.0)" may look like "while(1)" to an |
| optimiser, to a floating-point unit there's a world of difference. |
| |
| Some compilers offer various flags for different floating point |
| modes; it's worth trying all possible combinations of these. |
| |
| Add -DID=\"name\" if you want the machine/flags identified in the output. |
| |
| FAULTY COMPILERS |
| Because of bugs and/or inadequacies, some compilers need the following |
| defines: |
| |
| If your C preprocessor doesn't have the predefined __FILE__ macro, and |
| you don't want to call this file enquire.c but, say, tell.c, add the |
| flag -DFILENAME=\"tell.c\" . |
| |
| Some compilers won't accept the line "#include FILENAME". |
| Add flag -DNO_FILE. In that case, this file *must* be called enquire.c. |
| |
| Some compilers can't cope with "#ifdef __FILE__". Use -DFILENAME= |
| or -DNO_FILE as above. |
| |
| Some naughty compilers define __STDC__, but don't really support it. |
| Some define it as 0, in which case we treat it as undefined. |
| But if your compiler defines it, and isn't really ANSI C, |
| add flag -DNO_STDC. (To those compiler writers: for shame). |
| |
| Some naughty compilers define __STDC__, but don't have the stddef.h |
| include file. Add flag -DNO_STDDEF. |
| |
| Summary of naughty-compiler flags: |
| If your compiler doesn't support: add flag: |
| __FILE__ (and you changed the filename) -DFILENAME=\"name.c\" |
| #ifdef __FILE__ -DNO_FILE or -DFILENAME=... |
| #include FILENAME -DNO_FILE |
| __STDC__ (properly) -DNO_STDC |
| stddef.h -DNO_STDDEF |
| |
| Some systems crash when you try to malloc all store. To save users of |
| such defective systems too much grief, they may compile with -DNO_MEM, |
| which ignores that bit of the code. |
| |
| While it is not our policy to support defective compilers, pity has been |
| taken on people with compilers that can't produce object files bigger than |
| 32k (especially since it was an easy addition). Compile the program |
| into separate parts like this: |
| cc -DSEP -DPASS0 -o p0.o <other flags> enquire.c |
| cc -DSEP -DPASS1 -o p1.o <other flags> enquire.c |
| cc -DSEP -DPASS2 -o p2.o <other flags> enquire.c |
| cc -DSEP -DPASS3 -o p3.o <other flags> enquire.c |
| cc -o enquire p0.o p1.o p2.o p3.o |
| |
| SYSTEM DEPENDENCIES |
| You may possibly need to add some calls to signal() for other sorts of |
| exception on your machine than SIGFPE, and SIGOVER. See lines beginning |
| #ifdef SIGxxx in main() (and communicate the differences to me!). |
| |
| OUTPUT |
| Run without argument to get the information as English text. If run |
| with argument -l (e.g. enquire -l), output is a series of #define's for |
| the ANSI standard limits.h include file, excluding MB_MAX_CHAR. If run |
| with argument -f, output is a series of #define's for the ANSI standard |
| float.h include file (according to ANSI C Draft of Dec 7, 1988). |
| Flag -v gives verbose output: output includes the English text above |
| as C comments. The program exit(0)'s if everything went ok, otherwise |
| it exits with a positive number, telling how many problems there were. |
| |
| VERIFYING THE COMPILER |
| If, having produced the float.h and limits.h header files, you want to |
| verify that the compiler reads them back correctly (there are a lot of |
| boundary cases, of course, like minimum and maximum numbers), you can |
| recompile enquire.c with -DVERIFY set (plus the other flags that you used |
| when compiling the version that produced the header files). This then |
| recompiles the program so that it #includes "limits.h" and "float.h", |
| and checks that the constants it finds there are the same as the |
| constants it produces. Run the resulting program with enquire -fl. |
| Very few compilers have passed without error. |
| NB: You *must* recompile with the same compiler and flags, otherwise |
| you may get odd results. |
| |
| You can also use this option if your compiler already has both files, |
| and you want to confirm that this program produces the right results. |
| |
| TROUBLESHOOTING. |
| This program is now quite trustworthy, and suspicious and wrong output |
| may well be caused by bugs in the compiler, not in the program (however |
| of course, this is not guaranteed, and no responsibility can be |
| accepted, etc.) |
| |
| The program only works if overflows are ignored by the C system or |
| are catchable with signal(). |
| |
| If the program fails to run to completion (often with the error message |
| "Unexpected signal at point x"), this often turns out to be a bug in the |
| C compiler's run-time system. Check what was about to be printed, and |
| try to narrow the problem down. |
| |
| Another possible problem is that you have compiled the program to produce |
| loss-of-precision arithmetic traps. The program cannot cope with these, |
| and you should re-compile without them. (They should never be the default). |
| |
| Make sure you compiled with optimisation turned off. |
| |
| Output preceded by *** WARNING: identifies behaviour of the C system |
| deemed incorrect by the program. Likely problems are that printf or |
| scanf don't cope properly with certain boundary numbers: this program |
| goes to a lot of trouble to calculate its values, and these values |
| are mostly boundary numbers. Experience has shown that often printf |
| cannot cope with these values, and so in an attempt to increase |
| confidence in the output, for each float and double that is printed, |
| the printed value is checked by using sscanf to read it back. |
| Care is taken that numbers are printed with enough digits to uniquely |
| identify them, and therefore that they can be read back identically. |
| If the number read back is different, then there is probably a bug in |
| printf or sscanf, and the program prints the warning message. |
| If the two numbers in the warning look identical, then printf is more |
| than likely rounding the last digit(s) incorrectly. To put you at ease |
| that the two really are different, the bit patterns of the two numbers |
| are also printed. The difference is very likely in the last bit. |
| Many scanf's read the minimum double back as 0.0, and similarly cause |
| overflow when reading the maximum double. This program quite ruthlessly |
| declares all these behaviours faulty. The point is that if you get |
| one of these warnings, the output may be wrong, so you should check |
| the result carefully if you intend to use the results. Of course, printf |
| and sscanf may both be wrong, and cancel each other out, so you should |
| check the output carefully anyway. |
| |
| The warning that "a cast didn't work" refers to cases like this: |
| |
| float f; |
| #define C 1.234567890123456789 |
| f= C; |
| if (f != (float) C) printf ("Wrong!"); |
| |
| A faulty compiler will widen f to double and ignore the cast to float, |
| and because there is more accuracy in a double than a float, fail to |
| recognise that they are the same. In the actual case in point, f and C |
| are passed as parameters to a function that discovers they are not equal, |
| so it's just possible that the error was in the parameter passing, |
| not in the cast (see function Validate()). |
| For ANSI C, which has float constants, the error message is "constant has |
| wrong precision". |
| |
| REPORTING PROBLEMS |
| If the program doesn't work for you for any reason that can't be |
| narrowed down to a problem in the C compiler, or it has to be changed in |
| order to get it to compile, or it produces suspicious output (like a very |
| low maximum float, for instance), please mail the problem and an example |
| of the incorrect output to steven@cwi.nl or ..!hp4nl!cwi.nl!steven, so that |
| improvements can be worked into future versions; cwi.nl is the European |
| backbone, and is connected to uunet and other fine hosts. |
| |
| The program tries to catch and diagnose bugs in the compiler/run-time |
| system. I would be especially pleased to have reports of failures so |
| that I can improve this service. |
| |
| I apologise unreservedly for the contorted use of the preprocessor... |
| |
| THE SMALL PRINT |
| You may copy and distribute verbatim copies of this source file. |
| |
| You may modify this source file, and copy and distribute such |
| modified versions, provided that you leave the copyright notice |
| at the top of the file and also cause the modified file to carry |
| prominent notices stating that you changed the files and the date |
| of any change; and cause the whole of any work that you distribute |
| or publish, that in whole or in part contains or is a derivative of |
| this program or any part thereof, to be licensed at no charge to |
| all third parties on terms identical to those here. |
| |
| If you do have a fix to any problem, please send it to me, so that |
| other people can have the benefits. |
| |
| While every effort has been taken to make this program as reliable as |
| possible, no responsibility can be taken for the correctness of the |
| output, nor suitability for any particular use. |
| |
| This program is an offshoot of a project funded by public funds. |
| If you use this program for research or commercial use (i.e. more |
| than just for the fun of knowing about your compiler) mailing a short |
| note of acknowledgement may help keep enquire.c supported. |
| |
| ACKNOWLEDGEMENTS |
| Many people have given time and ideas to making this program what it is. |
| To all of them thanks, and apologies for not mentioning them by name. |
| |
| HISTORY |
| Originally started as a program to generate configuration constants |
| for a large piece of software we were writing, which later took on |
| a life of its own... |
| 1.0 Length 6658!; end 1984? |
| Unix only. Only printed a dozen maximum int/double values. |
| 2.0 Length 10535; Spring 1985 |
| Prints values as #defines (about 20 of them) |
| More extensive floating point, using Cody and Waite |
| Handles signals better |
| Programs around optimisations |
| Handles Cybers |
| 3.0 Length 12648; Aug 1987; prints about 42 values |
| Added PASS stuff, so treats float as well as double |
| 4.0 Length 33891; Feb 1989; prints around 85 values |
| First GNU version (for gcc, where they call it hard-params.c) |
| Generates float.h and limits.h files |
| Handles long double |
| Generates warnings for dubious output |
| 4.1 Length 47738; April 1989 |
| Added VERIFY and TEST |
| 4.2 Length 63442; Feb 1990 |
| Added SEP |
| Fixed eps/epsneg |
| Added check for pseudo-unsigned chars |
| Added description for each #define output |
| Added check for absence of defines during verify |
| Added prototypes |
| Added NO_STDC and NO_FILE |
| Fixed alignments output |
| 4.3 Length 75000; Oct 1990; around 114 lines of output |
| Function xmalloc defined, Richard Stallman, June 89. |
| Alignments computed from member offsets rather than structure sizes, |
| Richard Stallman, Oct 89. |
| Print whether char* and int* pointers have the same format; |
| also char * and function *. |
| Update to Draft C version Dec 7, 1988 |
| - types of constants produced in limits.h |
| (whether to put a U after unsigned shorts and chars and |
| whether to output -1024 as (-1023-1)) |
| - values of SCHAR_MIN/MAX |
| - values of *_EPSILON (not the smallest but the effective smallest) |
| Added FILENAME, since standard C doesn't allow #define __FILE__ |
| Renamed from config.c to enquire.c |
| Added size_t and ptrdiff_t enquiries |
| Added promotion enquiries |
| Added type checks of #defines |
| Added NO_STDDEF |
| Changed endian to allow for cases where not all bits are used |
| Sanity check for max integrals |
| Fixed definition of setjmp for -DNO_SIG |
| Moved #define ... 0.0L inside #ifdef STDC, in case some cpp's tokenize |
| Added NO_MEM |
| */ |
| |
| /* Set FILENAME to the name of this file */ |
| #ifndef FILENAME |
| #ifdef NO_FILE |
| #define FILENAME "enquire.c" |
| #else |
| #ifdef __FILE__ /* It's a compiler bug if this fails. Compile with -DNO_FILE */ |
| #define FILENAME __FILE__ |
| #else |
| #define FILENAME "enquire.c" |
| #endif /* __FILE__ */ |
| #endif /* NO_FILE */ |
| #endif /* FILENAME */ |
| |
| /* If PASS isn't defined, then this is the first pass over this file. */ |
| #ifndef PASS |
| #ifndef SEP |
| #define PASS 1 |
| #define PASS0 1 |
| #define PASS1 1 |
| #endif /* SEP */ |
| |
| /* A description of the ANSI constants */ |
| #define D_CHAR_BIT "Number of bits in a storage unit" |
| #define D_CHAR_MAX "Maximum char" |
| #define D_CHAR_MIN "Minimum char" |
| #define D_SCHAR_MAX "Maximum signed char" |
| #define D_SCHAR_MIN "Minimum signed char" |
| #define D_UCHAR_MAX "Maximum unsigned char (minimum is always 0)" |
| |
| #define D_INT_MAX "Maximum %s" |
| #define D_INT_MIN "Minimum %s" |
| #define D_UINT_MAX "Maximum unsigned %s (minimum is always 0)" |
| |
| #define D_FLT_ROUNDS "Addition rounds to 0: zero, 1: nearest, 2: +inf, 3: -inf, -1: unknown" |
| #define D_FLT_RADIX "Radix of exponent representation" |
| #define D_MANT_DIG "Number of base-FLT_RADIX digits in the significand of a %s" |
| #define D_DIG "Number of decimal digits of precision in a %s" |
| #define D_MIN_EXP "Minimum int x such that FLT_RADIX**(x-1) is a normalised %s" |
| #define D_MIN_10_EXP "Minimum int x such that 10**x is a normalised %s" |
| #define D_MAX_EXP "Maximum int x such that FLT_RADIX**(x-1) is a representable %s" |
| #define D_MAX_10_EXP "Maximum int x such that 10**x is a representable %s" |
| #define D_MAX "Maximum %s" |
| #define D_EPSILON "Difference between 1.0 and the minimum %s greater than 1.0" |
| #define D_MIN "Minimum normalised %s" |
| |
| /* Procedure just marks the functions that don't return a result */ |
| #ifdef NO_VOID |
| #define Procedure int |
| #else |
| #define Procedure void |
| #endif |
| |
| /* Some bad compilers define __STDC__, when they don't support it. |
| Compile with -DNO_STDC to get round this. |
| */ |
| #ifndef NO_STDC |
| #ifdef __STDC__ |
| #if __STDC__ /* If __STDC__ is 0, assume it isn't supported */ |
| #define STDC |
| #endif |
| #endif |
| #endif |
| |
| /* Stuff different for ANSI C, and old C: |
| ARGS and NOARGS are used for function prototypes. |
| Volatile is used to reduce the chance of optimisation, |
| and to prevent variables being put in registers (when setjmp/longjmp |
| wouldn't work as we want) |
| Long_double is the longest floating point type available. |
| stdc is used in tests like "if (stdc)", which is less ugly than #ifdef. |
| U is output after unsigned constants. |
| */ |
| #ifdef STDC |
| |
| #define ARGS(x) x |
| #define NOARGS (void) |
| #define Volatile volatile |
| #define Long_double long double |
| #define stdc 1 |
| #define U "U" |
| |
| #else /* Old style C */ |
| |
| #define ARGS(x) () |
| #define NOARGS () |
| #define Volatile static |
| #define Long_double double |
| #define stdc 0 |
| #define U "" |
| |
| #endif /* STDC */ |
| |
| /* include files */ |
| /* Stdio.h might include limits.h, and limits.h might include float.h, and |
| float.h is probably the float.h put together by the gcc makefile to |
| cause errors. We use our special define to assure float.h that we don't |
| really need it. */ |
| #define __GCC_FLOAT_NOT_NEEDED |
| #include <stdio.h> |
| |
| #ifdef STDC |
| #ifndef NO_STDDEF |
| #include <stddef.h> /* for size_t: if this fails, define NO_STDDEF */ |
| #endif |
| #endif |
| |
| #ifdef NO_SIG |
| #define jmp_buf int |
| #else |
| #include <sys/types.h> |
| #include <signal.h> |
| #include <setjmp.h> |
| #endif |
| |
| /* Kludge around the possibility that <stdio.h> includes <limits.h> */ |
| #ifdef CHAR_BIT |
| #undef CHAR_BIT |
| #undef CHAR_MAX |
| #undef CHAR_MIN |
| #undef SCHAR_MAX |
| #undef SCHAR_MIN |
| #undef UCHAR_MAX |
| #undef UCHAR_MIN |
| #endif |
| |
| #ifdef VERIFY |
| #include "limits.h" |
| #include "float.h" |
| #endif |
| |
| #define Vprintf if (V) printf |
| #define Unexpected(place) if (setjmp(lab)!=0) croak(place) |
| #define fabs(x) (((x)<0.0)?(-x):(x)) |
| |
| #endif /* PASS */ |
| |
| #ifdef PASS0 |
| |
| /* Prototypes for what's to come: */ |
| |
| int false NOARGS; |
| |
| #ifdef NO_STDDEF |
| char *malloc (); /* Old style prototype */ |
| #else |
| char *malloc ARGS((size_t size)); |
| #endif |
| |
| Procedure exit ARGS((int status)); |
| |
| char *f_rep ARGS((int precision, Long_double val)); |
| char *fake_f_rep ARGS((char *type, Long_double val)); |
| |
| int maximum_int NOARGS; |
| int cprop NOARGS; |
| int basic NOARGS; |
| Procedure sprop NOARGS; |
| Procedure iprop NOARGS; |
| Procedure lprop NOARGS; |
| Procedure usprop NOARGS; |
| Procedure uiprop NOARGS; |
| Procedure ulprop NOARGS; |
| int fprop ARGS((int bits_per_byte)); |
| int dprop ARGS((int bits_per_byte)); |
| int ldprop ARGS((int bits_per_byte)); |
| Procedure efprop ARGS((int fprec, int dprec, int lprec)); |
| Procedure edprop ARGS((int fprec, int dprec, int lprec)); |
| Procedure eldprop ARGS((int fprec, int dprec, int lprec)); |
| |
| int setmode ARGS((char *s)); |
| Procedure farewell ARGS((int bugs)); |
| Procedure describe ARGS((char *description, char *extra)); |
| Procedure missing ARGS((char *s)); |
| Procedure fmissing ARGS((char *s)); |
| Procedure check_defines NOARGS; |
| Procedure bitpattern ARGS((char *p, unsigned int size)); |
| int ceil_log ARGS((int base, Long_double x)); |
| Procedure croak ARGS((int place)); |
| Procedure eek_a_bug ARGS((char *problem)); |
| Procedure endian ARGS((int bits_per_byte)); |
| int exponent ARGS((Long_double x, double *fract, int *exp)); |
| int floor_log ARGS((int base, Long_double x)); |
| Procedure f_define ARGS((char *desc, char *extra, char *sort, char *name, |
| int prec, Long_double val, char *mark)); |
| Procedure i_define ARGS((char *desc, char *extra, char *sort, char *name, |
| long val, long lim, long req, char *mark)); |
| Procedure u_define ARGS((char *desc, char *extra, char *sort, char *name, |
| unsigned long val, unsigned long req, char *mark)); |
| |
| #ifdef NO_SIG /* There's no signal(), or setjmp/longjmp() */ |
| |
| /* Dummy routines instead */ |
| |
| int setjmp ARGS((int lab)); |
| |
| int lab=1; |
| int setjmp(lab) int lab; { return(0); } |
| Procedure signal(i, p) int i, (*p)(); {} |
| |
| #else |
| jmp_buf lab; |
| Procedure overflow(sig) int sig; { /* what to do on over/underflow */ |
| signal(sig, overflow); |
| longjmp(lab, 1); |
| } |
| |
| #endif /*NO_SIG*/ |
| |
| int V= 0, /* verbose */ |
| L= 0, /* produce limits.h */ |
| F= 0, /* produce float.h */ |
| bugs=0; /* The number of (possible) bugs in the output */ |
| |
| char co[4], oc[4]; /* Comment starter and ender symbols */ |
| |
| int bits_per_byte; /* the number of bits per unit returned by sizeof() */ |
| int flt_rounds; /* The calculated value of FLT_ROUNDS */ |
| int flt_radix; /* The calculated value of FLT_RADIX */ |
| |
| #ifdef TEST |
| /* Set the fp modes on a SUN with 68881 chip, to check that different |
| rounding modes etc. get properly detected. |
| Compile with -f68881 for cc, -m68881 for gcc, and with additional flag |
| -DTEST. Run with additional parameter +hex-number, to set the 68881 mode |
| register to hex-number |
| */ |
| |
| /* Bits 0x30 = rounding mode */ |
| #define ROUND_BITS 0x30 |
| #define TO_NEAREST 0x00 |
| #define TO_ZERO 0x10 |
| #define TO_MINUS_INF 0x20 |
| #define TO_PLUS_INF 0x30 /* The SUN FP user's guide seems to be wrong here */ |
| |
| /* Bits 0xc0 = extended rounding */ |
| #define EXT_BITS 0xc0 |
| #define ROUND_EXTENDED 0x00 |
| #define ROUND_SINGLE 0x40 |
| #define ROUND_DOUBLE 0x80 |
| |
| /* Enabled traps */ |
| #define EXE_INEX1 0x100 |
| #define EXE_INEX2 0x200 |
| #define EXE_DZ 0x400 |
| #define EXE_UNFL 0x800 |
| #define EXE_OVFL 0x1000 |
| #define EXE_OPERR 0x2000 |
| #define EXE_SNAN 0x4000 |
| #define EXE_BSUN 0x8000 |
| |
| /* Only used for testing, on a Sun with 68881 chip */ |
| /* Print the FP mode */ |
| printmode(new) unsigned new; { |
| fpmode_(&new); |
| printf("New fp mode:\n"); |
| printf(" Round toward "); |
| switch (new & ROUND_BITS) { |
| case TO_NEAREST: printf("nearest"); break; |
| case TO_ZERO: printf("zero"); break; |
| case TO_MINUS_INF: printf("minus infinity"); break; |
| case TO_PLUS_INF: printf("plus infinity"); break; |
| default: printf("???"); break; |
| } |
| |
| printf("\n Extended rounding precision: "); |
| |
| switch (new & EXT_BITS) { |
| case ROUND_EXTENDED: printf("extended"); break; |
| case ROUND_SINGLE: printf("single"); break; |
| case ROUND_DOUBLE: printf("double"); break; |
| default: printf("???"); break; |
| } |
| |
| printf("\n Enabled exceptions:"); |
| if (new & (unsigned) EXE_INEX1) printf(" inex1"); |
| if (new & (unsigned) EXE_INEX2) printf(" inex2"); |
| if (new & (unsigned) EXE_DZ) printf(" dz"); |
| if (new & (unsigned) EXE_UNFL) printf(" unfl"); |
| if (new & (unsigned) EXE_OVFL) printf(" ovfl"); |
| if (new & (unsigned) EXE_OPERR) printf(" operr"); |
| if (new & (unsigned) EXE_SNAN) printf(" snan"); |
| if (new & (unsigned) EXE_BSUN) printf(" bsun"); |
| printf("\n"); |
| } |
| |
| /* Only used for testing, on a Sun with 68881 chip */ |
| /* Set the FP mode */ |
| int setmode(s) char *s; { |
| unsigned mode=0, dig; |
| char c; |
| |
| while (*s) { |
| c= *s++; |
| if (c>='0' && c<='9') dig= c-'0'; |
| else if (c>='a' && c<='f') dig= c-'a'+10; |
| else if (c>='A' && c<='F') dig= c-'A'+10; |
| else return 1; |
| mode= mode<<4 | dig; |
| } |
| printmode(mode); |
| return 0; |
| } |
| #else |
| /* ARGSUSED */ |
| int setmode(s) char *s; { |
| fprintf(stderr, "Can't set mode: not compiled with TEST\n"); |
| return(1); |
| } |
| #endif |
| |
| Procedure farewell(bugs) int bugs; { |
| if (bugs == 0) exit(0); |
| printf("\n%sFor hints on dealing with the ", co); |
| if (bugs == 1) printf("problem"); |
| else printf("%d problems", bugs); |
| printf(" above\n see the section 'TROUBLESHOOTING' in the file "); |
| printf("%s%s\n", FILENAME, oc); |
| exit(bugs); |
| } |
| |
| /* The program has received a signal where it wasn't expecting one */ |
| Procedure croak(place) int place; { |
| printf("*** Unexpected signal at point %d\n", place); |
| farewell(bugs+1); /* An exit isn't essential here, but avoids loops */ |
| } |
| |
| /* This is here in case alloca.c is used, which calls this. */ |
| char *xmalloc(size) unsigned size; { |
| char *value = (char *)malloc(size); |
| if (value == 0) { |
| fprintf(stderr, "Virtual memory exceeded\n"); |
| exit(bugs+1); |
| } |
| return value; |
| } |
| |
| int maxint; |
| |
| int maximum_int() { |
| /* Find the maximum integer */ |
| Volatile int newi, int_max, two=2; |
| |
| /* Calculate maxint ***********************************/ |
| /* Calculate 2**n-1 until overflow - then use the previous value */ |
| |
| newi=1; int_max=0; |
| |
| if (setjmp(lab)==0) { /* Yields int_max */ |
| while(newi>int_max) { |
| int_max=newi; |
| newi=newi*two+1; |
| } |
| } |
| Unexpected(0); |
| return int_max; |
| } |
| |
| int main(argc, argv) int argc; char *argv[]; { |
| int dprec, fprec, lprec; |
| int i; char *s; int bad; |
| |
| #ifdef SIGFPE |
| signal(SIGFPE, overflow); |
| #endif |
| #ifdef SIGOVER |
| signal(SIGOVER, overflow); |
| #endif |
| /* Add more calls as necessary */ |
| |
| Unexpected(1); |
| |
| bad=0; |
| for (i=1; i < argc; i++) { |
| s= argv[i]; |
| if (*s == '-') { |
| s++; |
| while (*s) { |
| switch (*(s++)) { |
| case 'v': V=1; break; |
| case 'l': L=1; break; |
| case 'f': F=1; break; |
| default: bad=1; break; |
| } |
| } |
| } else if (*s == '+') { |
| s++; |
| bad= setmode(s); |
| } else bad= 1; |
| } |
| if (bad) { |
| fprintf(stderr, |
| "Usage: %s [-vlf]\n v=Verbose l=Limits.h f=Float.h\n", |
| argv[0]); |
| exit(1); |
| } |
| if (L || F) { |
| co[0]= '/'; oc[0]= ' '; |
| co[1]= '*'; oc[1]= '*'; |
| co[2]= ' '; oc[2]= '/'; |
| co[3]= '\0'; oc[3]= '\0'; |
| } else { |
| co[0]= '\0'; oc[0]= '\0'; |
| V=1; |
| } |
| |
| if (L) printf("%slimits.h%s\n", co, oc); |
| if (F) printf("%sfloat.h%s\n", co, oc); |
| if (F) { |
| printf ("#ifndef _FLOAT_H___\n"); |
| printf ("#define _FLOAT_H___\n"); |
| } |
| #ifdef ID |
| printf("%sProduced on %s by enquire version %s, CWI, Amsterdam%s\n", |
| co, ID, VERSION, oc); |
| #else |
| printf("%sProduced by enquire version %s, CWI, Amsterdam%s\n", |
| co, VERSION, oc); |
| #endif |
| |
| #ifdef VERIFY |
| printf("%sVerification phase%s\n", co, oc); |
| #endif |
| |
| #ifdef NO_SIG |
| Vprintf("%sCompiled without signal(): %s%s\n", |
| co, |
| "there's nothing that can be done if overflow occurs", |
| oc); |
| #endif |
| #ifdef NO_SC |
| Vprintf("%sCompiled without signed char%s\n", co, oc); |
| #endif |
| #ifdef NO_UC |
| Vprintf("%Compiled without unsigned char%s\n", co, oc); |
| #endif |
| #ifdef NO_UI |
| Vprintf("%Compiled without unsigned short or long%s\n", co, oc); |
| #endif |
| #ifdef __STDC__ |
| Vprintf("%sCompiler claims to be ANSI C level %d%s\n", |
| co, __STDC__, oc); |
| #else |
| Vprintf("%sCompiler does not claim to be ANSI C%s\n", co, oc); |
| #endif |
| printf("\n"); |
| check_defines(); |
| |
| maxint= maximum_int(); |
| bits_per_byte= basic(); |
| Vprintf("\n"); |
| if (F||V) { |
| fprec= fprop(bits_per_byte); |
| dprec= dprop(bits_per_byte); |
| lprec= ldprop(bits_per_byte); |
| efprop(fprec, dprec, lprec); |
| edprop(fprec, dprec, lprec); |
| eldprop(fprec, dprec, lprec); |
| } |
| #ifndef NO_MEM |
| if (V) { |
| unsigned int size; |
| long total; |
| /* An extra goody: the approximate amount of data-space */ |
| /* Allocate store until no more available */ |
| /* Different implementations have a different argument type |
| to malloc. Here we assume that it's the same type as |
| that which sizeof() returns */ |
| size=1<<((bits_per_byte*sizeof(int))-2); |
| total=0; |
| while (size!=0) { |
| while ( malloc((false()?sizeof(int):size)) != |
| (char *)NULL |
| ) { |
| total+=(size/2); |
| } |
| size/=2; |
| } |
| |
| Vprintf("%sMemory mallocatable ~= %ld Kbytes%s\n", |
| co, (total+511)/512, oc); |
| } |
| #endif |
| if (F) { |
| printf ("#endif %s _FLOAT_H___%s\n", co, oc); |
| } |
| farewell(bugs); |
| return bugs; /* To keep compilers and lint happy */ |
| } |
| |
| Procedure eek_a_bug(problem) char *problem; { |
| /* The program has discovered a problem */ |
| printf("\n%s*** WARNING: %s%s\n", co, problem, oc); |
| bugs++; |
| } |
| |
| Procedure describe(description, extra) char *description, *extra; { |
| /* Produce the description for a #define */ |
| printf(" %s", co); |
| printf(description, extra); |
| printf("%s\n", oc); |
| } |
| |
| Procedure i_define(desc, extra, sort, name, val, lim, req, mark) |
| char *desc, *extra, *sort, *name; long val, lim, req; char *mark; { |
| /* Produce a #define for a signed int type */ |
| describe(desc, extra); |
| printf("#undef %s%s\n", sort, name); |
| if (val >= 0) { |
| printf("#define %s%s %ld%s\n", sort, name, val, mark); |
| } else if (val + lim < 0) { |
| /* We may not produce a constant like -1024 if the max |
| allowable value is 1023. It has then to be output as |
| -1023-1. lim is the max allowable value. */ |
| printf("#define %s%s (%ld%s%ld%s)\n", |
| sort, name, -lim, mark, val+lim, mark); |
| } else { |
| printf("#define %s%s (%ld%s)\n", sort, name, val, mark); |
| } |
| /* If VERIFY is not set, val and req are just the same value; |
| if it is set, val is the value as calculated, and req is |
| the #defined constant |
| */ |
| if (val != req) { |
| printf("%s*** Verify failed for above #define!\n", co); |
| printf(" Compiler has %ld for value%s\n\n", req, oc); |
| bugs++; |
| } |
| Vprintf("\n"); |
| } |
| |
| Procedure u_define(desc, extra, sort, name, val, req, mark) |
| char *desc, *extra, *sort, *name; unsigned long val, req; char *mark; { |
| /* Produce a #define for an unsigned value */ |
| describe(desc, extra); |
| printf("#undef %s%s\n", sort, name); |
| printf("#define %s%s %lu%s%s\n", sort, name, val, U, mark); |
| if (val != req) { |
| printf("%s*** Verify failed for above #define!\n", co); |
| printf(" Compiler has %lu for value%s\n\n", req, oc); |
| bugs++; |
| } |
| Vprintf("\n"); |
| } |
| |
| Procedure f_define(desc, extra, sort, name, precision, val, mark) |
| char *desc, *extra, *sort, *name; int precision; |
| Long_double val; char *mark; { |
| /* Produce a #define for a float/double/long double */ |
| describe(desc, extra); |
| printf ("#undef %s%s\n", sort, name); |
| if (stdc) { |
| #ifdef NO_LONG_DOUBLE_IO |
| static int union_defined = 0; |
| if (sizeof(double) != sizeof(Long_double) |
| && !strcmp(sort, "LDBL")) { |
| if (!union_defined) { |
| printf("#ifndef __LDBL_UNION__\n"); |
| printf("#define __LDBL_UNION__\n"); |
| printf("union __convert_long_double {\n"); |
| printf(" unsigned __convert_long_double_i[4];\n"); |
| printf(" long double __convert_long_double_d;\n"); |
| printf("};\n"); |
| printf("#endif\n"); |
| union_defined = 1; |
| } |
| printf("#define %s%s %s\n", |
| sort, name, fake_f_rep("long double", val)); |
| } else { |
| printf("#define %s%s %s%s\n", |
| sort, name, f_rep(precision, val), mark); |
| } |
| #else |
| printf("#define %s%s %s%s\n", |
| sort, name, f_rep(precision, val), mark); |
| #endif |
| } else if (*mark == 'F') { |
| /* non-ANSI C has no float constants, so cast the constant */ |
| printf("#define %s%s ((float)%s)\n", |
| sort, name, f_rep(precision, val)); |
| } else { |
| printf("#define %s%s %s\n", sort, name, f_rep(precision, val)); |
| } |
| Vprintf("\n"); |
| } |
| |
| int floor_log(base, x) int base; Long_double x; { |
| /* return floor(log base(x)) */ |
| int r=0; |
| while (x>=base) { r++; x/=base; } |
| return r; |
| } |
| |
| int ceil_log(base, x) int base; Long_double x; { |
| int r=0; |
| while (x>1.0) { r++; x/=base; } |
| return r; |
| } |
| |
| int exponent(x, fract, exp) Long_double x; double *fract; int *exp; { |
| /* Split x into a fraction and a power of ten; |
| returns 0 if x is unusable, 1 otherwise. |
| Only used for error messages about faulty output. |
| */ |
| int r=0, neg=0; |
| Long_double old; |
| *fract=0.0; *exp=0; |
| if (x<0.0) { |
| x= -x; |
| neg= 1; |
| } |
| if (x==0.0) return 1; |
| if (x>=10.0) { |
| while (x>=10.0) { |
| old=x; r++; x/=10.0; |
| if (old==x) return 0; |
| } |
| } else { |
| while (x<1.0) { |
| old=x; r--; x*=10.0; |
| if (old==x) return 0; |
| } |
| } |
| if (neg) *fract= (double) -x; |
| else *fract=(double) x; |
| *exp=r; |
| return 1; |
| } |
| |
| /* Print a value of type TYPE with value VAL, |
| assuming that sprintf can't handle this type properly (without truncation). |
| We create an expression that uses type casting to create the value from |
| a bit pattern. */ |
| |
| char *fake_f_rep(type, val) char *type; Long_double val; { |
| static char buf[1024]; |
| union { unsigned int i[4]; Long_double ld;} u; |
| u.i[0] = u.i[1] = u.i[2] = u.i[3] = 0; |
| u.ld = val; |
| sprintf(buf, "(__extension__ ((union __convert_long_double) {__convert_long_double_i: {0x%x, 0x%x, 0x%x, 0x%x}}).__convert_long_double_d)", |
| u.i[0], u.i[1], u.i[2], u.i[3]); |
| return buf; |
| } |
| |
| char *f_rep(precision, val) int precision; Long_double val; { |
| /* Return the floating representation of val */ |
| static char buf[1024]; |
| #ifdef NO_LONG_DOUBLE_IO |
| if (1) |
| #else |
| if (sizeof(double) == sizeof(Long_double)) |
| #endif |
| { |
| double d = val; |
| /* Assume they're the same, and use non-stdc format */ |
| /* This is for stdc compilers using non-stdc libraries */ |
| sprintf(buf, "%.*e", precision, d); |
| } else { |
| /* It had better support Le then */ |
| sprintf(buf, "%.*Le", precision, val); |
| } |
| return buf; |
| } |
| |
| Procedure bitpattern(p, size) char *p; unsigned int size; { |
| /* Printf the bit-pattern of p */ |
| char c; |
| int i, j; |
| |
| for (i=1; i<=size; i++) { |
| c= *p; |
| p++; |
| for (j=bits_per_byte-1; j>=0; j--) |
| printf("%c", (c>>j)&1 ? '1' : '0'); |
| if (i!=size) printf(" "); |
| } |
| } |
| |
| #define Order(x, px, mode)\ |
| printf("%s%s ", co, mode); for (i=0; i<sizeof(x); i++) px[i]= ab[i]; \ |
| for (i=1; i<=sizeof(x); i++) { c=((x>>(bits_per_byte*(sizeof(x)-i)))&mask);\ |
| putchar(c==0 ? '?' : (char)c); }\ |
| printf("%s\n", oc); |
| |
| Procedure endian(bits_per_byte) int bits_per_byte; { |
| /* Printf the byte-order used on this machine */ |
| /*unsigned*/ short s=0; |
| /*unsigned*/ int j=0; |
| /*unsigned*/ long l=0; |
| |
| char *ps= (char *) &s, |
| *pj= (char *) &j, |
| *pl= (char *) &l, |
| *ab= "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; |
| unsigned int mask, i, c; |
| |
| mask=0; |
| for (i=1; i<=(unsigned)bits_per_byte; i++) mask= (mask<<1)|1; |
| |
| if (V) { |
| printf("%sCHARACTER ORDER%s\n", co, oc); |
| Order(s, ps, "short:"); |
| Order(j, pj, "int: "); |
| Order(l, pl, "long: "); |
| } |
| } |
| |
| Procedure missing(s) char *s; { |
| printf("%s*** #define %s missing from limits.h%s\n", co, s, oc); |
| bugs++; |
| } |
| |
| Procedure fmissing(s) char *s; { |
| printf("%s*** #define %s missing from float.h%s\n", co, s, oc); |
| bugs++; |
| } |
| |
| /* To try and fool optimisers */ |
| int false() { return 0; } |
| |
| #define Promoted(x) (false()?(x):(-1)) |
| #define is_signed(x) (Promoted(x) < 0) |
| #define sign_of(x) ((x)?"signed":"unsigned") |
| #define Signed 1 |
| #define Unsigned 0 |
| #define sgn(x) ((is_signed(x))?Signed:Unsigned) |
| |
| #define showtype(t, x) Vprintf("%s%s %s %s%s\n", co, t, sign_of(is_signed(x)), type_of(sizeof(x)), oc) |
| |
| char *type_of(x) int x; { |
| if (x == sizeof(char)) { |
| if (sizeof(char) == sizeof(int)) return "char/short/int"; |
| if (sizeof(char) == sizeof(short)) return "char/short"; |
| return "char"; |
| } |
| if (x == sizeof(short)) { |
| if (sizeof(short) == sizeof(int)) return "short/int"; |
| return "short"; |
| } |
| if (x == sizeof(int)) { |
| if (sizeof(int) == sizeof(long)) return "int/long"; |
| return "int"; |
| } |
| if (x == sizeof(long)) return "long"; |
| return "unknown-type"; |
| } |
| |
| char *ftype_of(x) int x; { |
| if (x == sizeof(float)) { |
| return "float"; |
| } |
| if (x == sizeof(double)) { |
| if (sizeof(double) == sizeof(Long_double)) |
| return "(long)double"; |
| return "double"; |
| } |
| if (x == sizeof(Long_double)) { |
| return "long double"; |
| } |
| return "unknown-type"; |
| } |
| |
| Procedure typerr(name, esign, esize, sign, size) |
| char *name; int esign, esize, sign, size; |
| { |
| Vprintf("*** %s has wrong type: expected %s %s, found %s %s\n", |
| name, sign_of(esign), type_of(esize), |
| sign_of(sign), type_of(size)); |
| } |
| |
| Procedure ftyperr(name, esize, size) char *name; int esize, size; { |
| Vprintf("*** %s has wrong type: expected %s, found %s\n", |
| name, ftype_of(esize), ftype_of(size)); |
| } |
| |
| int promotions() { |
| int si = 0; long sl = 0; |
| unsigned int ui; unsigned long ul; |
| short ss; unsigned short us; |
| |
| Vprintf("\n%sPROMOTIONS%s\n", co, oc); |
| |
| if ( |
| /* Possible warnings here; no problem */ |
| (sizeof(Promoted(si)) != sizeof(int)) || |
| (sizeof(Promoted(sl)) != sizeof(long)) || |
| (sizeof(Promoted(ss)) != sizeof(int)) || |
| (sizeof(Promoted(ui)) != sizeof(int)) || |
| (sizeof(Promoted(ul)) != sizeof(long)) || |
| (sizeof(Promoted(us)) != sizeof(int)) || |
| is_signed(ui) || is_signed(ul) || |
| !is_signed(si) || !is_signed(sl) |
| ) |
| { |
| eek_a_bug("promotions don't work properly in conditional expressions\n"); |
| } |
| |
| showtype("unsigned short promotes to", Promoted((unsigned short) 0)); |
| showtype("long+unsigned gives", sl+ui); |
| return 0; |
| } |
| |
| #define checktype(x, n, s, t) if((sgn(x)!=s)||(sizeof(x)!=sizeof(t))) typerr(n, s, sizeof(t), sign_of(x), sizeof(x)); |
| |
| #define fchecktype(x, n, t) if (sizeof(x) != sizeof(t)) ftyperr(n, sizeof(x), sizeof(t)); |
| |
| Procedure check_defines() { |
| /* ensure that all #defines are present and have the correct type */ |
| #ifdef VERIFY |
| int usign; |
| |
| #ifdef NO_UI |
| usign= Signed; |
| #else |
| /* Implementations promote unsigned short differently */ |
| usign= is_signed((unsigned short) 0); |
| #endif |
| |
| if (L) { |
| #ifdef CHAR_BIT |
| checktype(CHAR_BIT, "CHAR_BIT", Signed, int); |
| #else |
| missing("CHAR_BIT"); |
| #endif |
| #ifdef CHAR_MAX |
| checktype(CHAR_MAX, "CHAR_MAX", Signed, int); |
| #else |
| missing("CHAR_MAX"); |
| #endif |
| #ifdef CHAR_MIN |
| checktype(CHAR_MIN, "CHAR_MIN", Signed, int); |
| #else |
| missing("CHAR_MIN"); |
| #endif |
| #ifdef SCHAR_MAX |
| checktype(SCHAR_MAX, "SCHAR_MAX", Signed, int); |
| #else |
| missing("SCHAR_MAX"); |
| #endif |
| #ifdef SCHAR_MIN |
| checktype(SCHAR_MIN, "SCHAR_MIN", Signed, int); |
| #else |
| missing("SCHAR_MIN"); |
| #endif |
| #ifdef UCHAR_MAX |
| checktype(UCHAR_MAX, "UCHAR_MAX", Signed, int); |
| #else |
| missing("UCHAR_MAX"); |
| #endif |
| #ifdef SHRT_MAX |
| checktype(SHRT_MAX, "SHRT_MAX", Signed, int); |
| #else |
| missing("SHRT_MAX"); |
| #endif |
| #ifdef SHRT_MIN |
| checktype(SHRT_MIN, "SHRT_MIN", Signed, int); |
| #else |
| missing("SHRT_MIN"); |
| #endif |
| #ifdef INT_MAX |
| checktype(INT_MAX, "INT_MAX", Signed, int); |
| #else |
| missing("INT_MAX"); |
| #endif |
| #ifdef INT_MIN |
| checktype(INT_MIN, "INT_MIN", Signed, int); |
| #else |
| missing("INT_MIN"); |
| #endif |
| #ifdef LONG_MAX |
| checktype(LONG_MAX, "LONG_MAX", Signed, long); |
| #else |
| missing("LONG_MAX"); |
| #endif |
| #ifdef LONG_MIN |
| checktype(LONG_MIN, "LONG_MIN", Signed, long); |
| #else |
| missing("LONG_MIN"); |
| #endif |
| #ifdef USHRT_MAX |
| checktype(USHRT_MAX, "USHRT_MAX", usign, int); |
| #else |
| missing("USHRT_MAX"); |
| #endif |
| #ifdef UINT_MAX |
| checktype(UINT_MAX, "UINT_MAX", Unsigned, int); |
| #else |
| missing("UINT_MAX"); |
| #endif |
| #ifdef ULONG_MAX |
| checktype(ULONG_MAX, "ULONG_MAX", Unsigned, long); |
| #else |
| missing("ULONG_MAX"); |
| #endif |
| } /* if (L) */ |
| |
| if (F) { |
| #ifdef FLT_RADIX |
| checktype(FLT_RADIX, "FLT_RADIX", Signed, int); |
| #else |
| fmissing("FLT_RADIX"); |
| #endif |
| #ifdef FLT_MANT_DIG |
| checktype(FLT_MANT_DIG, "FLT_MANT_DIG", Signed, int); |
| #else |
| fmissing("FLT_MANT_DIG"); |
| #endif |
| #ifdef FLT_DIG |
| checktype(FLT_DIG, "FLT_DIG", Signed, int); |
| #else |
| fmissing("FLT_DIG"); |
| #endif |
| #ifdef FLT_ROUNDS |
| checktype(FLT_ROUNDS, "FLT_ROUNDS", Signed, int); |
| #else |
| fmissing("FLT_ROUNDS"); |
| #endif |
| #ifdef FLT_EPSILON |
| fchecktype(FLT_EPSILON, "FLT_EPSILON", float); |
| #else |
| fmissing("FLT_EPSILON"); |
| #endif |
| #ifdef FLT_MIN_EXP |
| checktype(FLT_MIN_EXP, "FLT_MIN_EXP", Signed, int); |
| #else |
| fmissing("FLT_MIN_EXP"); |
| #endif |
| #ifdef FLT_MIN |
| fchecktype(FLT_MIN, "FLT_MIN", float); |
| #else |
| fmissing("FLT_MIN"); |
| #endif |
| #ifdef FLT_MIN_10_EXP |
| checktype(FLT_MIN_10_EXP, "FLT_MIN_10_EXP", Signed, int); |
| #else |
| fmissing("FLT_MIN_10_EXP"); |
| #endif |
| #ifdef FLT_MAX_EXP |
| checktype(FLT_MAX_EXP, "FLT_MAX_EXP", Signed, int); |
| #else |
| fmissing("FLT_MAX_EXP"); |
| #endif |
| #ifdef FLT_MAX |
| fchecktype(FLT_MAX, "FLT_MAX", float); |
| #else |
| fmissing("FLT_MAX"); |
| #endif |
| #ifdef FLT_MAX_10_EXP |
| checktype(FLT_MAX_10_EXP, "FLT_MAX_10_EXP", Signed, int); |
| #else |
| fmissing("FLT_MAX_10_EXP"); |
| #endif |
| #ifdef DBL_MANT_DIG |
| checktype(DBL_MANT_DIG, "DBL_MANT_DIG", Signed, int); |
| #else |
| fmissing("DBL_MANT_DIG"); |
| #endif |
| #ifdef DBL_DIG |
| checktype(DBL_DIG, "DBL_DIG", Signed, int); |
| #else |
| fmissing("DBL_DIG"); |
| #endif |
| #ifdef DBL_EPSILON |
| fchecktype(DBL_EPSILON, "DBL_EPSILON", double); |
| #else |
| fmissing("DBL_EPSILON"); |
| #endif |
| #ifdef DBL_MIN_EXP |
| checktype(DBL_MIN_EXP, "DBL_MIN_EXP", Signed, int); |
| #else |
| fmissing("DBL_MIN_EXP"); |
| #endif |
| #ifdef DBL_MIN |
| fchecktype(DBL_MIN, "DBL_MIN", double); |
| #else |
| fmissing("DBL_MIN"); |
| #endif |
| #ifdef DBL_MIN_10_EXP |
| checktype(DBL_MIN_10_EXP, "DBL_MIN_10_EXP", Signed, int); |
| #else |
| fmissing("DBL_MIN_10_EXP"); |
| #endif |
| #ifdef DBL_MAX_EXP |
| checktype(DBL_MAX_EXP, "DBL_MAX_EXP", Signed, int); |
| #else |
| fmissing("DBL_MAX_EXP"); |
| #endif |
| #ifdef DBL_MAX |
| fchecktype(DBL_MAX, "DBL_MAX", double); |
| #else |
| fmissing("DBL_MAX"); |
| #endif |
| #ifdef DBL_MAX_10_EXP |
| checktype(DBL_MAX_10_EXP, "DBL_MAX_10_EXP", Signed, int); |
| #else |
| fmissing("DBL_MAX_10_EXP"); |
| #endif |
| #ifdef STDC |
| #ifdef LDBL_MANT_DIG |
| checktype(LDBL_MANT_DIG, "LDBL_MANT_DIG", Signed, int); |
| #else |
| fmissing("LDBL_MANT_DIG"); |
| #endif |
| #ifdef LDBL_DIG |
| checktype(LDBL_DIG, "LDBL_DIG", Signed, int); |
| #else |
| fmissing("LDBL_DIG"); |
| #endif |
| #ifdef LDBL_EPSILON |
| fchecktype(LDBL_EPSILON, "LDBL_EPSILON", long double); |
| #else |
| fmissing("LDBL_EPSILON"); |
| #endif |
| #ifdef LDBL_MIN_EXP |
| checktype(LDBL_MIN_EXP, "LDBL_MIN_EXP", Signed, int); |
| #else |
| fmissing("LDBL_MIN_EXP"); |
| #endif |
| #ifdef LDBL_MIN |
| fchecktype(LDBL_MIN, "LDBL_MIN", long double); |
| #else |
| fmissing("LDBL_MIN"); |
| #endif |
| #ifdef LDBL_MIN_10_EXP |
| checktype(LDBL_MIN_10_EXP, "LDBL_MIN_10_EXP", Signed, int); |
| #else |
| fmissing("LDBL_MIN_10_EXP"); |
| #endif |
| #ifdef LDBL_MAX_EXP |
| checktype(LDBL_MAX_EXP, "LDBL_MAX_EXP", Signed, int); |
| #else |
| fmissing("LDBL_MAX_EXP"); |
| #endif |
| #ifdef LDBL_MAX |
| fchecktype(LDBL_MAX, "LDBL_MAX", long double); |
| #else |
| fmissing("LDBL_MAX"); |
| #endif |
| #ifdef LDBL_MAX_10_EXP |
| checktype(LDBL_MAX_10_EXP, "LDBL_MAX_10_EXP", Signed, int); |
| #else |
| fmissing("LDBL_MAX_10_EXP"); |
| #endif |
| #endif /* STDC */ |
| } /* if (F) */ |
| #endif /* VERIFY */ |
| } |
| |
| #ifdef VERIFY |
| #ifndef SCHAR_MAX |
| #define SCHAR_MAX char_max |
| #endif |
| #ifndef SCHAR_MIN |
| #define SCHAR_MIN char_min |
| #endif |
| #ifndef UCHAR_MAX |
| #define UCHAR_MAX char_max |
| #endif |
| #endif /* VERIFY */ |
| |
| #ifndef CHAR_BIT |
| #define CHAR_BIT char_bit |
| #endif |
| #ifndef CHAR_MAX |
| #define CHAR_MAX char_max |
| #endif |
| #ifndef CHAR_MIN |
| #define CHAR_MIN char_min |
| #endif |
| #ifndef SCHAR_MAX |
| #define SCHAR_MAX char_max |
| #endif |
| #ifndef SCHAR_MIN |
| #define SCHAR_MIN char_min |
| #endif |
| #ifndef UCHAR_MAX |
| #define UCHAR_MAX char_max |
| #endif |
| |
| int cprop() { |
| /* Properties of type char */ |
| Volatile char c, char_max, char_min; |
| Volatile int bits_per_byte, c_signed; |
| long char_bit; |
| |
| Unexpected(2); |
| |
| /* Calculate number of bits per character *************************/ |
| c=1; bits_per_byte=0; |
| do { c=c<<1; bits_per_byte++; } while(c!=0); |
| c= (char)(-1); |
| if (((int)c)<0) c_signed=1; |
| else c_signed=0; |
| Vprintf("%schar = %d bits, %ssigned%s\n", |
| co, (int)sizeof(c)*bits_per_byte, (c_signed?"":"un"), oc); |
| char_bit=(long)(sizeof(c)*bits_per_byte); |
| if (L) i_define(D_CHAR_BIT, "", "CHAR", "_BIT", |
| char_bit, 0L, (long) CHAR_BIT, ""); |
| |
| c=0; char_max=0; |
| c++; |
| if (setjmp(lab)==0) { /* Yields char_max */ |
| while (c>char_max) { |
| char_max=c; |
| c++; |
| } |
| } else { |
| Vprintf("%sCharacter overflow generates a trap!%s\n", co, oc); |
| } |
| c=0; char_min=0; |
| c--; |
| if (setjmp(lab)==0) { /* Yields char_min */ |
| while (c<char_min) { |
| char_min=c; |
| c--; |
| } |
| } |
| if (c_signed && char_min == 0) { |
| Vprintf("%sBEWARE! Chars are pseudo-unsigned:%s\n", co, oc); |
| Vprintf("%s %s%s%s\n", |
| "They contain only nonnegative values, ", |
| "but sign extend when used as integers.", co, oc); |
| } |
| Unexpected(3); |
| |
| if (L) { |
| /* Because of the integer promotions, you must use a U after |
| the MAX_CHARS in the following cases */ |
| if ((sizeof(char) == sizeof(int)) && !c_signed) { |
| u_define(D_CHAR_MAX, "", "CHAR", "_MAX", |
| (long) char_max, |
| (long) CHAR_MAX, ""); |
| } else { |
| i_define(D_CHAR_MAX, "", "CHAR", "_MAX", |
| (long) char_max, 0L, |
| (long) CHAR_MAX, ""); |
| } |
| i_define(D_CHAR_MIN, "", "CHAR", "_MIN", |
| (long) char_min, (long) maxint, |
| (long) CHAR_MIN, ""); |
| if (c_signed) { |
| i_define(D_SCHAR_MAX, "", "SCHAR", "_MAX", |
| (long) char_max, 0L, |
| (long) SCHAR_MAX, ""); |
| i_define(D_SCHAR_MIN, "", "SCHAR", "_MIN", |
| (long) char_min, (long) maxint, |
| (long) SCHAR_MIN, ""); |
| } else { |
| if (sizeof(char) == sizeof(int)) { |
| u_define(D_UCHAR_MAX, "", "UCHAR", "_MAX", |
| (long) char_max, |
| (long) UCHAR_MAX, ""); |
| } else { |
| i_define(D_UCHAR_MAX, "", "UCHAR", "_MAX", |
| (long) char_max, 0L, |
| (long) UCHAR_MAX, ""); |
| } |
| } |
| |
| if (c_signed) { |
| #ifndef NO_UC |
| Volatile unsigned char c, char_max; |
| c=0; char_max=0; |
| c++; |
| if (setjmp(lab)==0) { /* Yields char_max */ |
| while (c>char_max) { |
| char_max=c; |
| c++; |
| } |
| } |
| Unexpected(4); |
| if (sizeof(char) == sizeof(int)) { |
| u_define(D_UCHAR_MAX, "", "UCHAR", "_MAX", |
| (long) char_max, |
| (long) UCHAR_MAX, ""); |
| } else { |
| i_define(D_UCHAR_MAX, "", "UCHAR", "_MAX", |
| (long) char_max, 0L, |
| (long) UCHAR_MAX, ""); |
| } |
| #endif |
| } else { |
| #ifndef NO_SC |
| /* Define NO_SC if this gives a syntax error */ Volatile signed char c, char_max, char_min; |
| c=0; char_max=0; |
| c++; |
| if (setjmp(lab)==0) { /* Yields char_max */ |
| while (c>char_max) { |
| char_max=c; |
| c++; |
| } |
| } |
| c=0; char_min=0; |
| c--; |
| if (setjmp(lab)==0) { /* Yields char_min */ |
| while (c<char_min) { |
| char_min=c; |
| c--; |
| } |
| } |
| Unexpected(5); |
| i_define(D_SCHAR_MIN, "", "SCHAR", "_MIN", |
| (long) char_min, (long) maxint, |
| (long) SCHAR_MIN, ""); |
| i_define(D_SCHAR_MAX, "", "SCHAR", "_MAX", |
| (long) char_max, 0L, |
| (long) SCHAR_MAX, ""); |
| #endif /* NO_SC */ |
| } |
| } |
| return bits_per_byte; |
| } |
| |
| int basic() { |
| /* The properties of the basic types. |
| Returns number of bits per sizeof unit */ |
| Volatile int bits_per_byte; |
| typedef int function (); |
| int variable; |
| int *p, *q; |
| |
| Vprintf("%sSIZES%s\n", co, oc); |
| bits_per_byte= cprop(); |
| |
| /* Shorts, ints and longs *****************************************/ |
| Vprintf("%sshort=%d int=%d long=%d float=%d double=%d bits %s\n", |
| co, |
| (int) sizeof(short)*bits_per_byte, |
| (int) sizeof(int)*bits_per_byte, |
| (int) sizeof(long)*bits_per_byte, |
| (int) sizeof(float)*bits_per_byte, |
| (int) sizeof(double)*bits_per_byte, oc); |
| if (stdc) { |
| Vprintf("%slong double=%d bits%s\n", |
| co, (int) sizeof(Long_double)*bits_per_byte, oc); |
| } |
| Vprintf("%schar*=%d bits%s%s\n", |
| co, (int)sizeof(char *)*bits_per_byte, |
| sizeof(char *)>sizeof(int)?" BEWARE! larger than int!":"", |
| oc); |
| Vprintf("%sint* =%d bits%s%s\n", |
| co, (int)sizeof(int *)*bits_per_byte, |
| sizeof(int *)>sizeof(int)?" BEWARE! larger than int!":"", |
| oc); |
| Vprintf("%sfunc*=%d bits%s%s\n", |
| co, (int)sizeof(function *)*bits_per_byte, |
| sizeof(function *)>sizeof(int)?" BEWARE! larger than int!":"", |
| oc); |
| if (V) printf ("%s%s %s %s%s\n", co, "Type size_t is", |
| ((((false()?( sizeof(int)):(-1)) < 0) )? |
| "signed":"unsigned") , |
| type_of(sizeof( |
| sizeof(int)+0 |
| ) |
| ), |
| oc); |
| showtype("Type size_t is", sizeof(0)); |
| |
| /* Alignment constants ********************************************/ |
| |
| #define alignment(TYPE) \ |
| ((long)((char *)&((struct{char c; TYPE d;}*)0)->d - (char *) 0)) |
| |
| Vprintf("\n%sALIGNMENTS%s\n", co, oc); |
| |
| Vprintf("%schar=%ld short=%ld int=%ld long=%ld%s\n", |
| co, |
| alignment(char), alignment(short), |
| alignment(int), alignment(long), |
| oc); |
| |
| Vprintf("%sfloat=%ld double=%ld%s\n", |
| co, |
| alignment(float), alignment(double), |
| oc); |
| |
| if (stdc) { |
| Vprintf("%slong double=%ld%s\n", |
| co, |
| alignment(Long_double), |
| oc); |
| } |
| Vprintf("%schar*=%ld int*=%ld func*=%ld%s\n", |
| co, |
| alignment(char *), alignment(int *), alignment(function *), |
| oc); |
| |
| Vprintf("\n"); |
| |
| /* Ten little endians *********************************************/ |
| |
| endian(bits_per_byte); |
| |
| /* Pointers *******************************************************/ |
| |
| Vprintf("\n%sPROPERTIES OF POINTERS%s\n", co, oc); |
| |
| if ((long) (char *) &variable == (long) (int *) &variable) |
| Vprintf("%sChar and int pointer formats seem identical%s\n", |
| co, oc); |
| else |
| Vprintf("%sChar and int pointer formats are different%s\n", |
| co, oc); |
| if ((long) (char *) &variable == (long) (function *) &variable) |
| Vprintf("%sChar and function pointer formats seem identical%s\n", |
| co, oc); |
| else |
| Vprintf("%sChar and function pointer formats are different%s\n", |
| co, oc); |
| |
| if (V) { |
| if ("abcd"=="abcd") |
| printf("%sStrings are shared%s\n", co, oc); |
| else printf("%sStrings are not shared%s\n", co, oc); |
| } |
| |
| p=0; q=0; |
| showtype("Type ptrdiff_t is", p-q); |
| |
| Vprintf("\n%sPROPERTIES OF INTEGRAL TYPES%s\n", co, oc); |
| |
| sprop(); |
| iprop(); |
| lprop(); |
| usprop(); |
| uiprop(); |
| ulprop(); |
| |
| promotions(); |
| |
| Unexpected(6); |
| |
| return bits_per_byte; |
| } |
| |
| #else /* not PASS0 */ |
| |
| #ifdef SEP |
| extern jmp_buf lab; |
| extern int V, L, F, bugs, bits_per_byte; |
| extern char co[], oc[]; |
| extern char *f_rep(); |
| #endif /* SEP */ |
| #endif /* ifdef PASS0 */ |
| |
| /* As I said, I apologise for the contortions below. The functions are |
| expanded by the preprocessor twice or three times (for float and double, |
| and maybe for long double, and for short, int and long). That way, |
| I never make a change to one that I forget to make to the other. |
| You can look on it as C's fault for not supporting multi-line macro's. |
| This whole file is read 3 times by the preprocessor, with PASSn set for |
| n=1, 2 or 3, to decide which parts to reprocess. |
| */ |
| |
| /* #undef on an already undefined thing is (wrongly) flagged as an error |
| by some compilers, therefore the #ifdef that follows: |
| */ |
| #ifdef Number |
| #undef Number |
| #undef THING |
| #undef Thing |
| #undef thing |
| #undef FPROP |
| #undef Fname |
| #undef Store |
| #undef Sum |
| #undef Diff |
| #undef Mul |
| #undef Div |
| #undef ZERO |
| #undef HALF |
| #undef ONE |
| #undef TWO |
| #undef THREE |
| #undef FOUR |
| #undef Self |
| #undef F_check |
| #undef Validate |
| #undef EPROP |
| #undef MARK |
| |
| /* These are the float.h constants */ |
| #undef F_RADIX |
| #undef F_MANT_DIG |
| #undef F_DIG |
| #undef F_ROUNDS |
| #undef F_EPSILON |
| #undef F_MIN_EXP |
| #undef F_MIN |
| #undef F_MIN_10_EXP |
| #undef F_MAX_EXP |
| #undef F_MAX |
| #undef F_MAX_10_EXP |
| #endif |
| |
| #ifdef Integer |
| #undef Integer |
| #undef INT |
| #undef IPROP |
| #undef Iname |
| #undef UPROP |
| #undef Uname |
| #undef OK_UI |
| #undef IMARK |
| |
| #undef I_MAX |
| #undef I_MIN |
| #undef U_MAX |
| #endif |
| |
| #ifdef PASS1 |
| |
| /* Define the things we're going to use this pass */ |
| |
| #define Number float |
| #define THING "FLOAT" |
| #define Thing "Float" |
| #define thing "float" |
| #define Fname "FLT" |
| #define FPROP fprop |
| #define Store fStore |
| #define Sum fSum |
| #define Diff fDiff |
| #define Mul fMul |
| #define Div fDiv |
| #define ZERO 0.0 |
| #define HALF 0.5 |
| #define ONE 1.0 |
| #define TWO 2.0 |
| #define THREE 3.0 |
| #define FOUR 4.0 |
| #define Self fSelf |
| #define F_check fCheck |
| #define MARK "F" |
| #ifdef VERIFY |
| #define Validate(prec, val, req, same) fValidate(prec, val, req, same) |
| #endif |
| |
| #define EPROP efprop |
| |
| #define Integer short |
| #define INT "short" |
| #define IPROP sprop |
| #define Iname "SHRT" |
| #ifndef NO_UI |
| #define OK_UI 1 |
| #endif |
| #define IMARK "" |
| |
| #define UPROP usprop |
| #define Uname "USHRT" |
| |
| #ifdef VERIFY |
| #ifdef SHRT_MAX |
| #define I_MAX SHRT_MAX |
| #endif |
| #ifdef SHRT_MIN |
| #define I_MIN SHRT_MIN |
| #endif |
| #ifdef USHRT_MAX |
| #define U_MAX USHRT_MAX |
| #endif |
| |
| #ifdef FLT_RADIX |
| #define F_RADIX FLT_RADIX |
| #endif |
| #ifdef FLT_MANT_DIG |
| #define F_MANT_DIG FLT_MANT_DIG |
| #endif |
| #ifdef FLT_DIG |
| #define F_DIG FLT_DIG |
| #endif |
| #ifdef FLT_ROUNDS |
| #define F_ROUNDS FLT_ROUNDS |
| #endif |
| #ifdef FLT_EPSILON |
| #define F_EPSILON FLT_EPSILON |
| #endif |
| #ifdef FLT_MIN_EXP |
| #define F_MIN_EXP FLT_MIN_EXP |
| #endif |
| #ifdef FLT_MIN |
| #define F_MIN FLT_MIN |
| #endif |
| #ifdef FLT_MIN_10_EXP |
| #define F_MIN_10_EXP FLT_MIN_10_EXP |
| #endif |
| #ifdef FLT_MAX_EXP |
| #define F_MAX_EXP FLT_MAX_EXP |
| #endif |
| #ifdef FLT_MAX |
| #define F_MAX FLT_MAX |
| #endif |
| #ifdef FLT_MAX_10_EXP |
| #define F_MAX_10_EXP FLT_MAX_10_EXP |
| #endif |
| #endif /* VERIFY */ |
| |
| #endif /* PASS1 */ |
| |
| #ifdef PASS2 |
| |
| #define Number double |
| #define THING "DOUBLE" |
| #define Thing "Double" |
| #define thing "double" |
| #define Fname "DBL" |
| #define FPROP dprop |
| #define Store dStore |
| #define Sum dSum |
| #define Diff dDiff |
| #define Mul dMul |
| #define Div dDiv |
| #define ZERO 0.0 |
| #define HALF 0.5 |
| #define ONE 1.0 |
| #define TWO 2.0 |
| #define THREE 3.0 |
| #define FOUR 4.0 |
| #define Self dSelf |
| #define F_check dCheck |
| #define MARK "" |
| #ifdef VERIFY |
| #define Validate(prec, val, req, same) dValidate(prec, val, req, same) |
| #endif |
| |
| #define EPROP edprop |
| |
| #define Integer int |
| #define INT "int" |
| #define IPROP iprop |
| #define Iname "INT" |
| #define OK_UI 1 /* Unsigned int is always possible */ |
| #define IMARK "" |
| |
| #define UPROP uiprop |
| #define Uname "UINT" |
| |
| #ifdef VERIFY |
| #ifdef INT_MAX |
| #define I_MAX INT_MAX |
| #endif |
| #ifdef INT_MIN |
| #define I_MIN INT_MIN |
| #endif |
| #ifdef UINT_MAX |
| #define U_MAX UINT_MAX |
| #endif |
| |
| #ifdef DBL_MANT_DIG |
| #define F_MANT_DIG DBL_MANT_DIG |
| #endif |
| #ifdef DBL_DIG |
| #define F_DIG DBL_DIG |
| #endif |
| #ifdef DBL_EPSILON |
| #define F_EPSILON DBL_EPSILON |
| #endif |
| #ifdef DBL_MIN_EXP |
| #define F_MIN_EXP DBL_MIN_EXP |
| #endif |
| #ifdef DBL_MIN |
| #define F_MIN DBL_MIN |
| #endif |
| #ifdef DBL_MIN_10_EXP |
| #define F_MIN_10_EXP DBL_MIN_10_EXP |
| #endif |
| #ifdef DBL_MAX_EXP |
| #define F_MAX_EXP DBL_MAX_EXP |
| #endif |
| #ifdef DBL_MAX |
| #define F_MAX DBL_MAX |
| #endif |
| #ifdef DBL_MAX_10_EXP |
| #define F_MAX_10_EXP DBL_MAX_10_EXP |
| #endif |
| #endif /* VERIFY */ |
| |
| #endif /* PASS2 */ |
| |
| #ifdef PASS3 |
| |
| #ifdef STDC |
| #define Number long double |
| |
| #define ZERO 0.0L |
| #define HALF 0.5L |
| #define ONE 1.0L |
| #define TWO 2.0L |
| #define THREE 3.0L |
| #define FOUR 4.0L |
| #endif |
| |
| #define THING "LONG DOUBLE" |
| #define Thing "Long double" |
| #define thing "long double" |
| #define Fname "LDBL" |
| #define FPROP ldprop |
| #define Store ldStore |
| #define Sum ldSum |
| #define Diff ldDiff |
| #define Mul ldMul |
| #define Div ldDiv |
| #define Self ldSelf |
| #define F_check ldCheck |
| #define MARK "L" |
| #ifdef VERIFY |
| #define Validate(prec, val, req, same) ldValidate(prec, val, req, same) |
| #endif |
| |
| #define EPROP eldprop |
| |
| #define Integer long |
| #define INT "long" |
| #define IPROP lprop |
| #define Iname "LONG" |
| #ifndef NO_UI |
| #define OK_UI 1 |
| #endif |
| #define IMARK "L" |
| |
| #define UPROP ulprop |
| #define Uname "ULONG" |
| |
| #ifdef VERIFY |
| #ifdef LONG_MAX |
| #define I_MAX LONG_MAX |
| #endif |
| #ifdef LONG_MIN |
| #define I_MIN LONG_MIN |
| #endif |
| #ifdef ULONG_MAX |
| #define U_MAX ULONG_MAX |
| #endif |
| |
| #ifdef LDBL_MANT_DIG |
| #define F_MANT_DIG LDBL_MANT_DIG |
| #endif |
| #ifdef LDBL_DIG |
| #define F_DIG LDBL_DIG |
| #endif |
| #ifdef LDBL_EPSILON |
| #define F_EPSILON LDBL_EPSILON |
| #endif |
| #ifdef LDBL_MIN_EXP |
| #define F_MIN_EXP LDBL_MIN_EXP |
| #endif |
| #ifdef LDBL_MIN |
| #define F_MIN LDBL_MIN |
| #endif |
| #ifdef LDBL_MIN_10_EXP |
| #define F_MIN_10_EXP LDBL_MIN_10_EXP |
| #endif |
| #ifdef LDBL_MAX_EXP |
| #define F_MAX_EXP LDBL_MAX_EXP |
| #endif |
| #ifdef LDBL_MAX |
| #define F_MAX LDBL_MAX |
| #endif |
| #ifdef LDBL_MAX_10_EXP |
| #define F_MAX_10_EXP LDBL_MAX_10_EXP |
| #endif |
| #endif /* VERIFY */ |
| |
| #endif /* PASS3 */ |
| |
| #ifndef I_MAX |
| #define I_MAX int_max |
| #endif |
| #ifndef I_MIN |
| #define I_MIN int_min |
| #endif |
| #ifndef U_MAX |
| #define U_MAX u_max |
| #endif |
| |
| #ifndef F_RADIX |
| #define F_RADIX f_radix |
| #endif |
| #ifndef F_MANT_DIG |
| #define F_MANT_DIG f_mant_dig |
| #endif |
| #ifndef F_DIG |
| #define F_DIG f_dig |
| #endif |
| #ifndef F_ROUNDS |
| #define F_ROUNDS f_rounds |
| #endif |
| #ifndef F_EPSILON |
| #define F_EPSILON f_epsilon |
| #endif |
| #ifndef F_MIN_EXP |
| #define F_MIN_EXP f_min_exp |
| #endif |
| #ifndef F_MIN |
| #define F_MIN f_min |
| #endif |
| #ifndef F_MIN_10_EXP |
| #define F_MIN_10_EXP f_min_10_exp |
| #endif |
| #ifndef F_MAX_EXP |
| #define F_MAX_EXP f_max_exp |
| #endif |
| #ifndef F_MAX |
| #define F_MAX f_max |
| #endif |
| #ifndef F_MAX_10_EXP |
| #define F_MAX_10_EXP f_max_10_exp |
| #endif |
| |
| #ifndef VERIFY |
| #define Validate(prec, val, req, same) {;} |
| #endif |
| |
| #ifdef Integer |
| |
| Procedure IPROP() { |
| /* the properties of short, int, and long */ |
| Volatile Integer newi, int_max, maxeri, int_min, minneri; |
| Volatile int ibits, ipower, two=2; |
| |
| /* Calculate max short/int/long ***********************************/ |
| /* Calculate 2**n-1 until overflow - then use the previous value */ |
| |
| newi=1; int_max=0; |
| |
| if (setjmp(lab)==0) { /* Yields int_max */ |
| for(ipower=0; newi>int_max; ipower++) { |
| int_max=newi; |
| newi=newi*two+1; |
| } |
| Vprintf("%sOverflow of a%s %s does not generate a trap%s\n", |
| co, INT[0]=='i'?"n":"", INT, oc); |
| } else { |
| Vprintf("%sOverflow of a%s %s generates a trap%s\n", |
| co, INT[0]=='i'?"n":"", INT, oc); |
| } |
| Unexpected(7); |
| |
| /* Minimum value: assume either two's or one's complement *********/ |
| int_min= -int_max; |
| if (setjmp(lab)==0) { /* Yields int_min */ |
| if (int_min-1 < int_min) int_min--; |
| } |
| Unexpected(8); |
| |
| /* Now for those daft Cybers */ |
| |
| maxeri=0; newi=int_max; |
| |
| if (setjmp(lab)==0) { /* Yields maxeri */ |
| for(ibits=ipower; newi>maxeri; ibits++) { |
| maxeri=newi; |
| newi=newi+newi+1; |
| } |
| } |
| Unexpected(9); |
| |
| minneri= -maxeri; |
| if (setjmp(lab)==0) { /* Yields minneri */ |
| if (minneri-1 < minneri) minneri--; |
| } |
| Unexpected(10); |
| |
| Vprintf("%sMaximum %s = %ld (= 2**%d-1)%s\n", |
| co, INT, (long)int_max, ipower, oc); |
| Vprintf("%sMinimum %s = %ld%s\n", co, INT, (long)int_min, oc); |
| |
| if (L) i_define(D_INT_MAX, INT, Iname, "_MAX", |
| (long) int_max, 0L, |
| (long) I_MAX, IMARK); |
| if (L) i_define(D_INT_MIN, INT, Iname, "_MIN", |
| (long) int_min, (long) (PASS==1?maxint:int_max), |
| (long) I_MIN, IMARK); |
| |
| if(int_max < 0) { /* It has happened */ |
| eek_a_bug("signed integral comparison faulty?"); |
| } |
| |
| if (maxeri>int_max) { |
| Vprintf("%sThere is a larger %s, %ld (= 2**%d-1), %s %s%s\n", |
| co, INT, (long)maxeri, ibits, |
| "but only for addition, not multiplication", |
| "(I smell a Cyber!)", |
| oc); |
| } |
| |
| if (minneri<int_min) { |
| Vprintf("%sThere is a smaller %s, %ld, %s %s%s\n", |
| co, INT, (long)minneri, |
| "but only for addition, not multiplication", |
| "(I smell a Cyber!)", |
| oc); |
| } |
| } |
| |
| Procedure UPROP () { |
| /* The properties of unsigned short/int/long */ |
| #ifdef OK_UI |
| Volatile unsigned Integer u_max, newi, two; |
| newi=1; u_max=0; two=2; |
| |
| if (setjmp(lab)==0) { /* Yields u_max */ |
| while(newi>u_max) { |
| u_max=newi; |
| newi=newi*two+1; |
| } |
| } |
| Unexpected(11); |
| Vprintf("%sMaximum unsigned %s = %lu%s\n", |
| co, INT, (unsigned long) u_max, oc); |
| |
| /* Oh woe: new standard C defines value preserving promotions */ |
| if (L) { |
| if (PASS == 1 && sizeof(short) < sizeof(int)) { |
| /* Special only for short */ |
| i_define(D_UINT_MAX, INT, Uname, "_MAX", |
| (unsigned long) u_max, 0L, |
| (unsigned long) U_MAX, IMARK); |
| } else { |
| u_define(D_UINT_MAX, INT, Uname, "_MAX", |
| (unsigned long) u_max, |
| (unsigned long) U_MAX, IMARK); |
| } |
| } |
| #endif |
| } |
| |
| #endif /* Integer */ |
| |
| #ifdef Number |
| |
| /* The following routines are intended to defeat any attempt at optimisation |
| or use of extended precision, and to defeat faulty narrowing casts. |
| The weird prototypes are because of widening incompatibilities. |
| */ |
| #ifdef STDC |
| #define ARGS1(atype, a) (atype a) |
| #define ARGS2(atype, a, btype, b) (atype a, btype b) |
| #else |
| #define ARGS1(atype, a) (a) atype a; |
| #define ARGS2(atype, a, btype, b) (a, b) atype a; btype b; |
| #endif |
| |
| Procedure Store ARGS2(Number, a, Number *, b) { *b=a; } |
| Number Sum ARGS2(Number, a, Number, b) {Number r; Store(a+b, &r); return (r); } |
| Number Diff ARGS2(Number, a, Number, b){Number r; Store(a-b, &r); return (r); } |
| Number Mul ARGS2(Number, a, Number, b) {Number r; Store(a*b, &r); return (r); } |
| Number Div ARGS2(Number, a, Number, b) {Number r; Store(a/b, &r); return (r); } |
| Number Self ARGS1(Number, a) {Number r; Store(a, &r); return (r); } |
| |
| Procedure F_check ARGS((int precision, Long_double val1)); |
| |
| Procedure F_check(precision, val1) int precision; Long_double val1; { |
| /* You don't think I'm going to go to all the trouble of writing |
| a program that works out what all sorts of values are, only to |
| have printf go and print the wrong values out, do you? |
| No, you're right, so this function tries to see if printf |
| has written the right value, by reading it back again. |
| This introduces a new problem of course: suppose printf writes |
| the correct value, and scanf reads it back wrong... oh well. |
| But I'm adamant about this: the precision given is enough |
| to uniquely identify the printed number, therefore I insist |
| that sscanf read the number back identically. Harsh yes, but |
| sometimes you've got to be cruel to be kind. |
| */ |
| Number val, new, diff; |
| double rem; |
| int e; |
| char *rep; |
| char *f2; |
| |
| #ifdef NO_LONG_DOUBLE_IO |
| double new1; |
| /* On the Sun 3, sscanf clobbers 4 words, |
| which leads to a crash when this function tries to return. */ |
| f2= "%le"; /* Input */ |
| /* It is no use checking long doubles if we can't |
| read and write them. */ |
| if (sizeof (Number) > sizeof(double)) |
| return; |
| #else |
| Long_double new1; |
| if (sizeof(double) == sizeof(Long_double)) { |
| /* Assume they're the same, and use non-stdc format */ |
| /* This is for stdc compilers using non-stdc libraries */ |
| f2= "%le"; /* Input */ |
| } else { |
| /* It had better support Le then */ |
| f2= "%Le"; |
| } |
| #endif |
| val= val1; |
| rep= f_rep(precision, (Long_double) val); |
| if (setjmp(lab)==0) { |
| sscanf(rep, f2, &new1); |
| } else { |
| eek_a_bug("sscanf caused a trap"); |
| printf("%s scanning: %s format: %s%s\n\n", co, rep, f2, oc); |
| Unexpected(12); |
| return; |
| } |
| |
| if (setjmp(lab)==0) { /* See if new is usable */ |
| new= new1; |
| if (new != 0.0) { |
| diff= val/new - 1.0; |
| if (diff < 0.1) diff= 1.0; |
| /* That should be enough to generate a trap */ |
| } |
| } else { |
| eek_a_bug("sscanf returned an unusable number"); |
| printf("%s scanning: %s with format: %s%s\n\n", |
| co, rep, f2, oc); |
| Unexpected(13); |
| return; |
| } |
| |
| Unexpected(14); |
| if (new != val) { |
| eek_a_bug("Possibly bad output from printf above"); |
| if (!exponent((Long_double)val, &rem, &e)) { |
| printf("%s but value was an unusable number%s\n\n", |
| co, oc); |
| return; |
| } |
| printf("%s expected value around %.*fe%d, bit pattern:\n ", |
| co, precision, rem, e); |
| bitpattern((char *) &val, (unsigned)sizeof(val)); |
| printf ("%s\n", oc); |
| printf("%s sscanf gave %s, bit pattern:\n ", |
| co, f_rep(precision, (Long_double) new)); |
| bitpattern((char *) &new, (unsigned)sizeof(new)); |
| printf ("%s\n", oc); |
| if (setjmp(lab) == 0) { |
| diff= val-new; |
| printf("%s difference= %s%s\n\n", |
| co, f_rep(precision, (Long_double) diff), oc); |
| } /* else forget it */ |
| Unexpected(15); |
| } |
| } |
| |
| #ifdef VERIFY |
| Procedure Validate(prec, val, req, same) int prec, same; Long_double val, req; { |
| /* Check that the compiler has read a #define value correctly */ |
| Unexpected(16); |
| if (!same) { |
| printf("%s*** Verify failed for above #define!\n", co); |
| if (setjmp(lab) == 0) { /* for the case that req == nan */ |
| printf(" Compiler has %s for value%s\n", |
| f_rep(prec, req), oc); |
| } else { |
| printf(" Compiler has %s for value%s\n", |
| "an unusable number", oc); |
| } |
| if (setjmp(lab) == 0) { |
| F_check(prec, (Long_double) req); |
| } /*else forget it*/ |
| if (setjmp(lab) == 0) { |
| if (req > 0.0 && val > 0.0) { |
| printf("%s difference= %s%s\n", |
| co, f_rep(prec, val-req), oc); |
| } |
| } /*else forget it*/ |
| Unexpected(17); |
| printf("\n"); |
| bugs++; |
| } else if (val != req) { |
| if (stdc) eek_a_bug("constant has the wrong precision"); |
| else eek_a_bug("the cast didn't work"); |
| printf("\n"); |
| } |
| } |
| #endif /* VERIFY */ |
| |
| int FPROP(bits_per_byte) int bits_per_byte; { |
| /* Properties of floating types, using algorithms by Cody and Waite |
| from MA Malcolm, as modified by WM Gentleman and SB Marovich. |
| Further extended by S Pemberton. |
| |
| Returns the number of digits in the fraction. |
| */ |
| |
| Volatile int |
| i, f_radix, iexp, irnd, mrnd, f_rounds, f_mant_dig, |
| iz, k, inf, machep, f_max_exp, f_min_exp, mx, negeps, |
| mantbits, digs, f_dig, trap, |
| hidden, normal, f_min_10_exp, f_max_10_exp; |
| Volatile Number |
| a, b, base, basein, basem1, f_epsilon, epsneg, |
| eps, epsp1, etop, ebot, |
| f_max, newxmax, f_min, xminner, y, y1, z, z1, z2; |
| |
| Unexpected(18); |
| |
| Vprintf("%sPROPERTIES OF %s%s\n", co, THING, oc); |
| |
| /* Base and size of significand **************************************/ |
| /* First repeatedly double until adding 1 has no effect. */ |
| /* For instance, if base is 10, with 3 significant digits */ |
| /* it will try 1, 2, 4, 8, ... 512, 1024, and stop there, */ |
| /* since 1024 is only representable as 1020. */ |
| a=1.0; |
| if (setjmp(lab)==0) { /* inexact trap? */ |
| do { a=Sum(a, a); } |
| while (Diff(Diff(Sum(a, ONE), a), ONE) == ZERO); |
| } else { |
| fprintf(stderr, "*** Program got loss-of-precision trap!\n"); |
| /* And supporting those is just TOO much trouble! */ |
| farewell(bugs+1); |
| } |
| Unexpected(19); |
| /* Now double until you find a number that can be added to the */ |
| /* above number. For 1020 this is 8 or 16, depending whether the */ |
| /* result is rounded or truncated. */ |
| /* In either case the result is 1030. 1030-1020= the base, 10. */ |
| b=1.0; |
| do { b=Sum(b, b); } while ((base=Diff(Sum(a, b), a)) == ZERO); |
| f_radix=base; |
| Vprintf("%sBase = %d%s\n", co, f_radix, oc); |
| |
| /* Sanity check; if base<2, I can't guarantee the rest will work */ |
| if (f_radix < 2) { |
| eek_a_bug("Function return or parameter passing faulty? (This is a guess.)"); |
| printf("\n"); |
| return(0); |
| } |
| |
| if (PASS == 1) { /* only for FLT */ |
| flt_radix= f_radix; |
| if (F) i_define(D_FLT_RADIX, "", "FLT", "_RADIX", |
| (long) f_radix, 0L, (long) F_RADIX, ""); |
| } else if (f_radix != flt_radix) { |
| printf("\n%s*** WARNING: %s %s (%d) %s%s\n", |
| co, thing, "arithmetic has a different radix", |
| f_radix, "from float", oc); |
| bugs++; |
| } |
| |
| /* Now the number of digits precision */ |
| f_mant_dig=0; b=1.0; |
| do { f_mant_dig++; b=Mul(b, base); } |
| while (Diff(Diff(Sum(b, ONE), b), ONE) == ZERO); |
| f_dig=floor_log(10, (Long_double)(b/base)) + (base==10?1:0); |
| Vprintf("%sSignificant base digits = %d %s %d %s%s\n", |
| co, f_mant_dig, "(= at least", f_dig, "decimal digits)", oc); |
| if (F) i_define(D_MANT_DIG, thing, Fname, "_MANT_DIG", |
| (long) f_mant_dig, 0L, (long) F_MANT_DIG, ""); |
| if (F) i_define(D_DIG, thing, Fname, "_DIG", |
| (long) f_dig, 0L, (long) F_DIG, ""); |
| digs= ceil_log(10, (Long_double)b); /* the number of digits to printf */ |
| |
| /* Rounding *******************************************************/ |
| basem1=Diff(base, HALF); |
| if (Diff(Sum(a, basem1), a) != ZERO) { |
| if (f_radix == 2) basem1=0.375; |
| else basem1=1.0; |
| if (Diff(Sum(a, basem1), a) != ZERO) irnd=2; /* away from 0 */ |
| else irnd=1; /* to nearest */ |
| } else irnd=0; /* towards 0 */ |
| |
| basem1=Diff(base, HALF); |
| |
| if (Diff(Diff(-a, basem1), -a) != ZERO) { |
| if (f_radix == 2) basem1=0.375; |
| else basem1=1.0; |
| if (Diff(Diff(-a, basem1), -a) != ZERO) mrnd=2; /* away from 0*/ |
| else mrnd=1; /* to nearest */ |
| } else mrnd=0; /* towards 0 */ |
| |
| f_rounds= -1; /* Unknown rounding */ |
| if (irnd==0 && mrnd==0) f_rounds=0; /* zero = chops */ |
| if (irnd==1 && mrnd==1) f_rounds=1; /* nearest */ |
| if (irnd==2 && mrnd==0) f_rounds=2; /* +inf */ |
| if (irnd==0 && mrnd==2) f_rounds=3; /* -inf */ |
| |
| if (f_rounds != -1) { |
| Vprintf("%sArithmetic rounds towards ", co); |
| switch (f_rounds) { |
| case 0: Vprintf("zero (i.e. it chops)"); break; |
| case 1: Vprintf("nearest"); break; |
| case 2: Vprintf("+infinity"); break; |
| case 3: Vprintf("-infinity"); break; |
| default: Vprintf("???"); break; |
| } |
| Vprintf("%s\n", oc); |
| } else { /* Hmm, try to give some help here */ |
| Vprintf("%sArithmetic rounds oddly: %s\n", co, oc); |
| Vprintf("%s Negative numbers %s%s\n", |
| co, mrnd==0 ? "towards zero" : |
| mrnd==1 ? "to nearest" : |
| "away from zero", |
| oc); |
| Vprintf("%s Positive numbers %s%s\n", |
| co, irnd==0 ? "towards zero" : |
| irnd==1 ? "to nearest" : |
| "away from zero", |
| oc); |
| } |
| /* An extra goody */ |
| if (f_radix == 2 && f_rounds == 1) { |
| if (Diff(Sum(a, ONE), a) != ZERO) { |
| Vprintf("%s Tie breaking rounds up%s\n", co, oc); |
| } else if (Diff(Sum(a, THREE), a) == FOUR) { |
| Vprintf("%s Tie breaking rounds to even%s\n", co, oc); |
| } else { |
| Vprintf("%s Tie breaking rounds down%s\n", co, oc); |
| } |
| } |
| if (PASS == 1) { /* only for FLT */ |
| flt_rounds= f_rounds; |
| if (F) |
| i_define(D_FLT_ROUNDS, "", "FLT", "_ROUNDS", |
| (long) f_rounds, 1L, (long) F_ROUNDS, ""); |
| } else if (f_rounds != flt_rounds) { |
| printf("\n%s*** WARNING: %s %s (%d) %s%s\n", |
| co, thing, "arithmetic rounds differently", |
| f_rounds, "from float", oc); |
| bugs++; |
| } |
| |
| /* Various flavours of epsilon ************************************/ |
| negeps=f_mant_dig+f_mant_dig; |
| basein=1.0/base; |
| a=1.0; |
| for(i=1; i<=negeps; i++) a*=basein; |
| |
| b=a; |
| while (Diff(Diff(ONE, a), ONE) == ZERO) { |
| a*=base; |
| negeps--; |
| } |
| negeps= -negeps; |
| Vprintf("%sSmallest x such that 1.0-base**x != 1.0 = %d%s\n", |
| co, negeps, oc); |
| |
| etop = ONE; |
| ebot = ZERO; |
| eps = Sum(ebot, Div(Diff(etop, ebot), TWO)); |
| /* find the smallest epsneg (1-epsneg != 1) by binary search. |
| ebot and etop are the current bounds */ |
| while (eps != ebot && eps != etop) { |
| epsp1 = Diff(ONE, eps); |
| if (epsp1 < ONE) etop = eps; |
| else ebot = eps; |
| eps = Sum(ebot, Div(Diff(etop, ebot), TWO)); |
| } |
| eps= etop; |
| /* Sanity check */ |
| if (Diff(ONE, etop) >= ONE || Diff(ONE, ebot) != ONE) { |
| eek_a_bug("internal error calculating epsneg"); |
| } |
| Vprintf("%sSmallest x such that 1.0-x != 1.0 = %s%s\n", |
| co, f_rep(digs, (Long_double) eps), oc); |
| if (V) F_check(digs, (Long_double) eps); |
| |
| epsneg=a; |
| if ((f_radix!=2) && irnd) { |
| /* a=(a*(1.0+a))/(1.0+1.0); => */ |
| a=Div(Mul(a, Sum(ONE, a)), Sum(ONE, ONE)); |
| /* if ((1.0-a)-1.0 != 0.0) epsneg=a; => */ |
| if (Diff(Diff(ONE, a), ONE) != ZERO) epsneg=a; |
| } |
| /* epsneg is used later */ |
| Unexpected(20); |
| |
| machep= -f_mant_dig-f_mant_dig; |
| a=b; |
| while (Diff(Sum(ONE, a), ONE) == ZERO) { a*=base; machep++; } |
| Vprintf("%sSmallest x such that 1.0+base**x != 1.0 = %d%s\n", |
| co, machep, oc); |
| |
| etop = ONE; |
| ebot = ZERO; |
| eps = Sum(ebot, Div(Diff(etop, ebot), TWO)); |
| /* find the smallest eps (1+eps != 1) by binary search. |
| ebot and etop are the current bounds */ |
| while (eps != ebot && eps != etop) { |
| epsp1 = Sum(ONE, eps); |
| if (epsp1 > ONE) etop = eps; |
| else ebot = eps; |
| eps = Sum(ebot, Div(Diff(etop, ebot), TWO)); |
| } |
| /* Sanity check */ |
| if (Sum(ONE, etop) <= ONE || Sum(ONE, ebot) != ONE) { |
| eek_a_bug("internal error calculating eps"); |
| } |
| f_epsilon=etop; |
| |
| Vprintf("%sSmallest x such that 1.0+x != 1.0 = %s%s\n", |
| co, f_rep(digs, (Long_double) f_epsilon), oc); |
| |
| f_epsilon= Diff(Sum(ONE, f_epsilon), ONE); /* New C standard defn */ |
| Vprintf("%s(Above number + 1.0) - 1.0 = %s%s\n", |
| co, f_rep(digs, (Long_double) (f_epsilon)), oc); |
| |
| /* Possible loss of precision warnings here from non-stdc compilers */ |
| if (F) f_define(D_EPSILON, thing, |
| Fname, "_EPSILON", digs, (Long_double) f_epsilon, MARK); |
| if (V || F) F_check(digs, (Long_double) f_epsilon); |
| Unexpected(21); |
| if (F) Validate(digs, (Long_double) f_epsilon, (Long_double) F_EPSILON, |
| f_epsilon == Self(F_EPSILON)); |
| Unexpected(22); |
| |
| /* Extra chop info *************************************************/ |
| if (f_rounds == 0) { |
| if (Diff(Mul(Sum(ONE,f_epsilon),ONE),ONE) != ZERO) { |
| Vprintf("%sAlthough arithmetic chops, it uses guard digits%s\n", co, oc); |
| } |
| } |
| |
| /* Size of and minimum normalised exponent ************************/ |
| y=0; i=0; k=1; z=basein; z1=(1.0+f_epsilon)/base; |
| |
| /* Coarse search for the largest power of two */ |
| if (setjmp(lab)==0) { /* for underflow trap */ /* Yields i, k, y, y1 */ |
| do { |
| y=z; y1=z1; |
| z=Mul(y,y); z1=Mul(z1, y); |
| a=Mul(z,ONE); |
| z2=Div(z1,y); |
| if (z2 != y1) break; |
| if ((Sum(a,a) == ZERO) || (fabs(z) >= y)) break; |
| i++; |
| k+=k; |
| } while(1); |
| } else { |
| Vprintf("%s%s underflow generates a trap%s\n", co, Thing, oc); |
| } |
| Unexpected(23); |
| |
| if (f_radix != 10) { |
| iexp=i+1; /* for the sign */ |
| mx=k+k; |
| } else { |
| iexp=2; |
| iz=f_radix; |
| while (k >= iz) { iz*=f_radix; iexp++; } |
| mx=iz+iz-1; |
| } |
| |
| /* Fine tune starting with y and y1 */ |
| if (setjmp(lab)==0) { /* for underflow trap */ /* Yields k, f_min */ |
| do { |
| f_min=y; z1=y1; |
| y=Div(y,base); y1=Div(y1,base); |
| a=Mul(y,ONE); |
| z2=Mul(y1,base); |
| if (z2 != z1) break; |
| if ((Sum(a,a) == ZERO) || (fabs(y) >= f_min)) break; |
| k++; |
| } while (1); |
| } |
| Unexpected(24); |
| |
| f_min_exp=(-k)+1; |
| |
| if ((mx <= k+k-3) && (f_radix != 10)) { mx+=mx; iexp+=1; } |
| Vprintf("%sNumber of bits used for exponent = %d%s\n", co, iexp, oc); |
| Vprintf("%sMinimum normalised exponent = %d%s\n", co, f_min_exp-1, oc); |
| if (F) |
| i_define(D_MIN_EXP, thing, Fname, "_MIN_EXP", |
| (long) f_min_exp, (long) maxint, (long) F_MIN_EXP, ""); |
| |
| if (setjmp(lab)==0) { |
| Vprintf("%sMinimum normalised positive number = %s%s\n", |
| co, f_rep(digs, (Long_double) f_min), oc); |
| } else { |
| eek_a_bug("printf can't print the smallest normalised number"); |
| printf("\n"); |
| } |
| Unexpected(25); |
| /* Possible loss of precision warnings here from non-stdc compilers */ |
| if (setjmp(lab) == 0) { |
| if (F) f_define(D_MIN, thing, |
| Fname, "_MIN", digs, (Long_double) f_min, MARK); |
| if (V || F) F_check(digs, (Long_double) f_min); |
| } else { |
| eek_a_bug("xxx_MIN caused a trap"); |
| printf("\n"); |
| } |
| |
| if (setjmp(lab) == 0) { |
| if (F) Validate(digs, (Long_double) f_min, (Long_double) F_MIN, |
| f_min == Self(F_MIN)); |
| } else { |
| printf("%s*** Verify failed for above #define!\n %s %s\n\n", |
| co, "Compiler has an unusable number for value", oc); |
| bugs++; |
| } |
| Unexpected(26); |
| |
| a=1.0; f_min_10_exp=0; |
| while (a > f_min*10.0) { a/=10.0; f_min_10_exp--; } |
| if (F) i_define(D_MIN_10_EXP, thing, Fname, "_MIN_10_EXP", |
| (long) f_min_10_exp, (long) maxint, |
| (long) F_MIN_10_EXP, ""); |
| |
| /* Minimum exponent ************************************************/ |
| if (setjmp(lab)==0) { /* for underflow trap */ /* Yields xminner */ |
| do { |
| xminner=y; |
| y=Div(y,base); |
| a=Mul(y,ONE); |
| if ((Sum(a,a) == ZERO) || (fabs(y) >= xminner)) break; |
| } while (1); |
| } |
| Unexpected(27); |
| |
| if (xminner != 0.0 && xminner != f_min) { |
| normal= 0; |
| Vprintf("%sThe smallest numbers are not kept normalised%s\n", |
| co, oc); |
| if (setjmp(lab)==0) { |
| Vprintf("%sSmallest unnormalised positive number = %s%s\n", |
| co, f_rep(digs, (Long_double) xminner), oc); |
| if (V) F_check(digs, (Long_double) xminner); |
| } else { |
| eek_a_bug("printf can't print the smallest unnormalised number."); |
| printf("\n"); |
| } |
| Unexpected(28); |
| } else { |
| normal= 1; |
| Vprintf("%sThe smallest numbers are normalised%s\n", co, oc); |
| } |
| |
| /* Maximum exponent ************************************************/ |
| f_max_exp=2; f_max=1.0; newxmax=base+1.0; |
| inf=0; trap=0; |
| while (f_max<newxmax) { |
| f_max=newxmax; |
| if (setjmp(lab) == 0) { /* Yields inf, f_max_exp */ |
| newxmax=Mul(newxmax, base); |
| } else { |
| trap=1; |
| break; |
| } |
| if (Div(newxmax, base) != f_max) { |
| inf=1; /* ieee infinity */ |
| break; |
| } |
| f_max_exp++; |
| } |
| Unexpected(29); |
| if (trap) { |
| Vprintf("%s%s overflow generates a trap%s\n", co, Thing, oc); |
| } |
| |
| if (inf) Vprintf("%sThere is an 'infinite' value%s\n", co, oc); |
| Vprintf("%sMaximum exponent = %d%s\n", co, f_max_exp, oc); |
| if (F) i_define(D_MAX_EXP, thing, Fname, "_MAX_EXP", |
| (long) f_max_exp, 0L, (long) F_MAX_EXP, ""); |
| |
| /* Largest number ***************************************************/ |
| f_max=Diff(ONE, epsneg); |
| if (Mul(f_max,ONE) != f_max) f_max=Diff(ONE, Mul(base,epsneg)); |
| for (i=1; i<=f_max_exp; i++) f_max=Mul(f_max, base); |
| |
| if (setjmp(lab)==0) { |
| Vprintf("%sMaximum number = %s%s\n", |
| co, f_rep(digs, (Long_double) f_max), oc); |
| } else { |
| eek_a_bug("printf can't print the largest double."); |
| printf("\n"); |
| } |
| if (setjmp(lab)==0) { |
| /* Possible loss of precision warnings here from non-stdc compilers */ |
| if (F) f_define(D_MAX, thing, |
| Fname, "_MAX", digs, (Long_double) f_max, MARK); |
| if (V || F) F_check(digs, (Long_double) f_max); |
| } else { |
| eek_a_bug("xxx_MAX caused a trap"); |
| printf("\n"); |
| } |
| if (setjmp(lab)==0) { |
| if (F) Validate(digs, (Long_double) f_max, (Long_double) F_MAX, |
| f_max == Self(F_MAX)); |
| } else { |
| printf("%s*** Verify failed for above #define!\n %s %s\n\n", |
| co, "Compiler has an unusable number for value", oc); |
| bugs++; |
| } |
| Unexpected(30); |
| |
| a=1.0; f_max_10_exp=0; |
| while (a < f_max/10.0) { a*=10.0; f_max_10_exp++; } |
| if (F) i_define(D_MAX_10_EXP, thing, Fname, "_MAX_10_EXP", |
| (long) f_max_10_exp, 0L, (long) F_MAX_10_EXP, ""); |
| |
| /* Hidden bit + sanity check ****************************************/ |
| if (f_radix != 10) { |
| hidden=0; |
| mantbits=floor_log(2, (Long_double)f_radix)*f_mant_dig; |
| if (mantbits == 64 |
| && iexp == 15 |
| && f_max_exp+f_min_exp > 0 /* ??? f_min_exp may be wrong. */ |
| && mantbits+iexp+17 == (int)sizeof(Number)*bits_per_byte) { |
| Vprintf("%sArithmetic probably doesn't use a hidden bit%s\n", co, oc); |
| Vprintf("%sIt's probably 80387 or 68881 extended real%s\n", co, oc); |
| goto is_extended; |
| } |
| if (mantbits+iexp == (int)sizeof(Number)*bits_per_byte) { |
| hidden=1; |
| Vprintf("%sArithmetic uses a hidden bit%s\n", co, oc); |
| } else if (mantbits+iexp+1 == (int)sizeof(Number)*bits_per_byte) { |
| Vprintf("%sArithmetic doesn't use a hidden bit%s\n", |
| co, oc); |
| } else { |
| printf("\n%s%s\n %s %s %s!%s\n\n", |
| co, |
| "*** Something fishy here!", |
| "Exponent size + significand size doesn't match", |
| "with the size of a", thing, |
| oc); |
| } |
| if (hidden && f_radix == 2 && f_max_exp+f_min_exp==3) { |
| Vprintf("%sIt looks like %s length IEEE format%s\n", |
| co, f_mant_dig==24 ? "single" : |
| f_mant_dig==53 ? "double" : |
| f_mant_dig >53 ? "extended" : |
| "some", oc); |
| is_extended: |
| if (f_rounds != 1 || normal) { |
| Vprintf("%s though ", co); |
| if (f_rounds != 1) { |
| Vprintf("the rounding is unusual"); |
| if (normal) Vprintf(" and "); |
| } |
| if (normal) Vprintf("the normalisation is unusual"); |
| Vprintf("%s\n", oc); |
| } |
| } else { |
| Vprintf("%sIt doesn't look like IEEE format%s\n", |
| co, oc); |
| } |
| } |
| printf("\n"); /* regardless of verbosity */ |
| return f_mant_dig; |
| } |
| |
| Procedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; { |
| /* See if expressions are evaluated in extended precision. |
| Some compilers optimise even if you don't want it, |
| and then this function fails to produce the right result. |
| We try to diagnose this if it happens. |
| */ |
| Volatile int eprec; |
| Volatile double a, b, base, old; |
| Volatile Number d, oldd, dbase, one, zero; |
| Volatile int bad=0; |
| |
| /* Size of significand **************************************/ |
| a=1.0; |
| if (setjmp(lab) == 0) { /* Yields nothing */ |
| do { old=a; a=a+a; } |
| while ((((a+1.0)-a)-1.0) == 0.0 && a>old); |
| } else bad=1; |
| |
| /* Avoid the comparison if bad is set, |
| to avoid trouble on the convex. */ |
| if (!bad && (a <= old)) bad=1; |
| |
| if (!bad) { |
| b=1.0; |
| if (setjmp(lab) == 0) { /* Yields nothing */ |
| do { old=b; b=b+b; } |
| while ((base=((a+b)-a)) == 0.0 && b>old); |
| if (b <= old) bad=1; |
| } else bad=1; |
| } |
| |
| if (!bad) { |
| eprec=0; d=1.0; dbase=base; one=1.0; zero=0.0; |
| if (setjmp(lab) == 0) { /* Yields nothing */ |
| do { eprec++; oldd=d; d=d*dbase; } |
| while ((((d+one)-d)-one) == zero && d>oldd); |
| if (d <= oldd) bad=1; |
| } else bad=1; |
| } |
| |
| Unexpected(31); |
| |
| if (bad) { |
| Vprintf("%sCan't determine precision for %s expressions:\n%s%s\n", |
| co, thing, " check that you compiled without optimisation!", |
| oc); |
| } else if (eprec==dprec) { |
| Vprintf("%s%s expressions are evaluated in double precision%s\n", |
| co, Thing, oc); |
| } else if (eprec==fprec) { |
| Vprintf("%s%s expressions are evaluated in float precision%s\n", |
| co, Thing, oc); |
| } else if (eprec==lprec) { |
| Vprintf("%s%s expressions are evaluated in long double precision%s\n", |
| co, Thing, oc); |
| } else { |
| Vprintf("%s%s expressions are evaluated in a %s %s %d %s%s\n", |
| co, Thing, eprec>dprec ? "higher" : "lower", |
| "precision than double,\n using", |
| eprec, "base digits", |
| oc); |
| } |
| } |
| |
| #else /* not Number */ |
| |
| #ifdef FPROP /* Then create dummy routines for long double */ |
| /* ARGSUSED */ |
| int FPROP(bits_per_byte) int bits_per_byte; { return 0; } |
| #endif |
| #ifdef EPROP |
| /* ARGSUSED */ |
| Procedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {} |
| #endif |
| |
| #endif /* ifdef Number */ |
| |
| /* Increment the pass number */ |
| #undef PASS |
| |
| #ifdef PASS2 |
| #undef PASS2 |
| #define PASS 3 |
| #define PASS3 1 |
| #endif |
| |
| #ifdef PASS1 |
| #undef PASS1 |
| #define PASS 2 |
| #define PASS2 1 |
| #endif |
| |
| #ifdef PASS0 |
| #undef PASS0 |
| #endif |
| |
| #ifdef PASS /* then rescan this file */ |
| #ifdef NO_FILE |
| #include "enquire.c" |
| #else |
| #include FILENAME /* if this line fails to compile, define NO_FILE */ |
| #endif |
| #endif /* PASS */ |
| |