/* Everything you wanted to know about your machine and C compiler,
but didn't know who to ask. */
#ifndef VERSION
#define VERSION "4.2"
#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.
COMPILING
With luck and a following wind, just the following will work:
cc config.c -o config
You may get some messages about unreachable code. This is OK.
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
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.
If your C preprocessor doesn't have the predefined __FILE__ macro, and
you don't want to call this file config.c but, say, params.c, add the
flag -D__FILE__=\"params.c\" .
Some naughty compilers define __STDC__, but don't really support it
(typically they define __STDC__ as 0). If this is the case for you,
add flag -DNO_STDC. (To those compiler writers: for shame).
Some bad compilers won't accept the line "#include __FILE__" or
"#ifdef __FILE__". Add flag -DNO_FILE. In that case, this file *must*
be called config.c.
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.
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> config.c
cc -DSEP -DPASS1 -o p1.o <other flags> config.c
cc -DSEP -DPASS2 -o p2.o <other flags> config.c
cc -DSEP -DPASS3 -o p3.o <other flags> config.c
cc -o config 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. config -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 May 13, 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 config.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 config -fl.
Very few compilers have passed without error.
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. The 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, or suitability for any particular use.
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
4.0 Added -f and -l options, and warnings
4.1 Added VERIFY
4.2 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
*/
#ifndef NO_FILE
#ifndef __FILE__
#define __FILE__ "config.c"
#endif
#endif
/* 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 mantissa 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 "Minimum %s x such that 1.0+x != 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__
#define STDC
#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 */
#include <stdio.h>
#ifdef NO_SIG
#define jmp_buf int
#else
#include <signal.h>
#include <setjmp.h>
#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: */
char *malloc ARGS((unsigned size));
Procedure exit ARGS((int status));
char *f_rep ARGS((int precision, Long_double val));
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 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 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 */
Procedure 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 additional flag -DTEST, and 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
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) {
printf("\n%sFor hints on dealing with the problems above", co);
printf("\n see the section 'TROUBLESHOOTING' in the file ");
printf("%s%s\n", __FILE__, 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 */
}
main(argc, argv) int argc; char *argv[]; {
int dprec, fprec, lprec;
unsigned int size;
long total;
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);
#ifdef ID
printf("%sProduced on %s by config version %s, CWI, Amsterdam%s\n",
co, ID, VERSION, oc);
#else
printf("%sProduced by config 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();
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);
}
if (V) {
/* An extra goody: the approximate amount of data-space */
/* Allocate store until no more available */
size=1<<((bits_per_byte*sizeof(int))-2);
total=0;
while (size!=0) {
while (malloc(size)!=(char *)NULL) total+=(size/2);
size/=2;
}
Vprintf("%sMemory mallocatable ~= %ld Kbytes%s\n",
co, (total+511)/512, 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, req, mark)
char *desc, *extra, *sort, *name; long val, req; char *mark; {
/* Produce a #define for a signed int type */
describe(desc, extra);
if (val >= 0) {
printf("#define %s%s %ld%s\n", sort, name, val, mark);
} else {
printf("#define %s%s (%ld%s)\n", sort, name, val, mark);
}
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("#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);
if (stdc) {
printf("#define %s%s %s%s\n",
sort, name, f_rep(precision, val), mark);
} 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= -x;
else *fract=x;
*exp=r;
return 1;
}
char *f_rep(precision, val) int precision; Long_double val; {
/* Return the floating representation of val */
static char buf[1024];
char *f1;
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 */
f1= "%.*e";
} else {
/* It had better support Le then */
f1= "%.*Le";
}
sprintf(buf, f1, 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]= c[i]; \
for (i=1; i<=sizeof(x); i++) { putchar((char)((x>>(bits_per_byte*(sizeof(x)-i)))&mask)); }\
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,
*c= "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
unsigned int mask, i;
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 check_defines() {
/* ensure that all the #defines are present */
#ifdef VERIFY
if (L) {
#ifndef CHAR_BIT
printf("%s*** CHAR_BIT missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef CHAR_MAX
printf("%s*** CHAR_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef CHAR_MIN
printf("%s*** CHAR_MIN missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef SCHAR_MAX
printf("%s*** SCHAR_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef SCHAR_MIN
printf("%s*** SCHAR_MIN missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef UCHAR_MAX
printf("%s*** UCHAR_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef SHRT_MAX
printf("%s*** SHRT_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef SHRT_MIN
printf("%s*** SHRT_MIN missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef INT_MAX
printf("%s*** INT_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef INT_MIN
printf("%s*** INT_MIN missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef LONG_MAX
printf("%s*** LONG_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef LONG_MIN
printf("%s*** LONG_MIN missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef USHRT_MAX
printf("%s*** USHRT_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef UINT_MAX
printf("%s*** UINT_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
#ifndef ULONG_MAX
printf("%s*** ULONG_MAX missing from limits.h%s\n", co, oc); bugs++;
#endif
} /* if (L) */
if (F) {
#ifndef FLT_RADIX
printf("%s*** FLT_RADIX missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MANT_DIG
printf("%s*** FLT_MANT_DIG missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_DIG
printf("%s*** FLT_DIG missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_ROUNDS
printf("%s*** FLT_ROUNDS missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_EPSILON
printf("%s*** FLT_EPSILON missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MIN_EXP
printf("%s*** FLT_MIN_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MIN
printf("%s*** FLT_MIN missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MIN_10_EXP
printf("%s*** FLT_MIN_10_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MAX_EXP
printf("%s*** FLT_MAX_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MAX
printf("%s*** FLT_MAX missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef FLT_MAX_10_EXP
printf("%s*** FLT_MAX_10_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MANT_DIG
printf("%s*** DBL_MANT_DIG missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_DIG
printf("%s*** DBL_DIG missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_EPSILON
printf("%s*** DBL_EPSILON missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MIN_EXP
printf("%s*** DBL_MIN_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MIN
printf("%s*** DBL_MIN missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MIN_10_EXP
printf("%s*** DBL_MIN_10_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MAX_EXP
printf("%s*** DBL_MAX_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MAX
printf("%s*** DBL_MAX missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef DBL_MAX_10_EXP
printf("%s*** DBL_MAX_10_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifdef STDC
#ifndef LDBL_MANT_DIG
printf("%s*** LDBL_MANT_DIG missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_DIG
printf("%s*** LDBL_DIG missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_EPSILON
printf("%s*** LDBL_EPSILON missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_MIN_EXP
printf("%s*** LDBL_MIN_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_MIN
printf("%s*** LDBL_MIN missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_MIN_10_EXP
printf("%s*** LDBL_MIN_10_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_MAX_EXP
printf("%s*** LDBL_MAX_EXP missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_MAX
printf("%s*** LDBL_MAX missing from float.h%s\n", co, oc); bugs++;
#endif
#ifndef LDBL_MAX_10_EXP
printf("%s*** LDBL_MAX_10_EXP missing from float.h%s\n", co, oc); bugs++;
#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, is_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) is_signed=1;
else is_signed=0;
Vprintf("%sChar = %d bits, %ssigned%s\n",
co, (int)sizeof(c)*bits_per_byte, (is_signed?"":"un"), oc);
char_bit=(long)(sizeof(c)*bits_per_byte);
if (L) i_define(D_CHAR_BIT, "",
"CHAR", "_BIT", char_bit, (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 (is_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) {
i_define(D_CHAR_MAX, "",
"CHAR", "_MAX", (long) char_max, (long) CHAR_MAX, "");
i_define(D_CHAR_MIN, "",
"CHAR", "_MIN", (long) char_min, (long) CHAR_MIN, "");
if (is_signed) {
i_define(D_SCHAR_MAX, "",
"SCHAR", "_MAX", (long) char_max,
(long) SCHAR_MAX, "");
i_define(D_SCHAR_MIN, "",
"SCHAR", "_MIN", (long) char_min,
(long) SCHAR_MIN, "");
} else {
i_define(D_UCHAR_MAX, "",
"UCHAR", "_MAX", (long) char_max,
(long) UCHAR_MAX, "");
}
if (is_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);
i_define(D_UCHAR_MAX, "",
"UCHAR", "_MAX", (long) char_max,
(long) UCHAR_MAX, "");
#endif
} else {
#ifndef NO_SC /* Define NO_SC if the next line 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) SCHAR_MIN, "");
i_define(D_SCHAR_MAX, "",
"SCHAR", "_MAX", (long) char_max,
(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;
struct{char i1; char c1;} schar;
struct{short i2; char c2;} sshort;
struct{int i3; char c3;} sint;
struct{long i4; char c4;} slong;
/* float sfloat[2]; */
struct{float i5; char c5;} sfloat;
struct{double i6; char c6;} sdouble;
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 pointers = %d bits%s%s\n",
co, (int)sizeof(char *)*bits_per_byte,
sizeof(char *)>sizeof(int)?" BEWARE! larger than int!":"",
oc);
Vprintf("%sInt pointers = %d bits%s%s\n",
co, (int)sizeof(int *)*bits_per_byte,
sizeof(int *)>sizeof(int)?" BEWARE! larger than int!":"",
oc);
/* Alignment constants ********************************************/
Vprintf("%sAlignments used for char=%d short=%d int=%d long=%d float=%d double=%d%s\n",
co,
(int) (&schar.c1 - (char*)&schar.i1),
(int) (&sshort.c2 - (char*)&sshort.i2),
(int) (&sint.c3 - (char*)&sint.i3),
(int) (&slong.c4 - (char*)&slong.i4),
/* (int) ((char*)&sfloat[1] - (char*)sfloat), */
(int) (&sfloat.c5 - (char*)&sfloat.i5),
(int) (&sdouble.c6 - (char*)&sdouble.i6),
oc);
/* Ten little endians *********************************************/
endian(bits_per_byte);
/* Pointers *******************************************************/
if (V) {
if ("abcd"=="abcd")
printf("%sStrings are shared%s\n", co, oc);
else printf("%sStrings are not shared%s\n", co, oc);
}
sprop();
iprop();
lprop();
usprop();
uiprop();
ulprop();
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
#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 ZERO 0.0L
#define HALF 0.5L
#define ONE 1.0L
#define TWO 2.0L
#define THREE 3.0L
#define FOUR 4.0L
#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 int_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, (long) I_MAX, IMARK);
if (L) i_define(D_INT_MIN, INT,
Iname, "_MIN", (long) int_min, (long) I_MIN, IMARK);
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 int_max, newi, two;
newi=1; int_max=0; two=2;
if (setjmp(lab)==0) { /* Yields int_max */
while(newi>int_max) {
int_max=newi;
newi=newi*two+1;
}
}
Unexpected(11);
Vprintf("%sMaximum unsigned %s = %lu%s\n",
co, INT, (unsigned long) int_max, oc);
if (L) u_define(D_UINT_MAX, INT,
Uname, "_MAX", (unsigned long) int_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.
*/
Long_double new1;
Number val, new, diff;
double rem;
int e;
char *rep;
char *f2;
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";
}
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, sizeof(val));
printf ("%s\n", oc);
printf("%s sscanf gave %s, bit pattern:\n ",
co, f_rep(precision, (Long_double) new));
bitpattern((char *) &new, 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) {
printf("%s*** Verify failed for above #define!\n", co);
printf(" Constant has the wrong precision%s\n",
oc);
} else eek_a_bug("the cast didn't work");
printf("\n");
bugs++;
}
}
#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 mantissa **************************************/
/* 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);
}
#ifdef PASS1 /* only for FLT */
flt_radix= f_radix;
if (F) i_define(D_FLT_RADIX, "",
"FLT", "_RADIX", (long) f_radix, (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++;
}
#endif
/* 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,
(long) F_MANT_DIG, "");
if (F) i_define(D_DIG, thing,
Fname, "_DIG", (long) f_dig, (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);
}
}
#ifdef PASS1 /* only for FLT */
flt_rounds= f_rounds;
if (F)
i_define(D_FLT_ROUNDS, "",
"FLT", "_ROUNDS", (long) f_rounds, (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++;
}
#endif
/* 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));
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));
}
/* 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));
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);
/* 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, oc);
if (F)
i_define(D_MIN_EXP, thing,
Fname, "_MIN_EXP", (long) f_min_exp, (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) 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,
(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,
(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+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 + mantissa 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);
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 mantissa **************************************/
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;
if (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
/* 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 */
#ifdef PASS3
#undef PASS
#endif
#ifdef PASS2
#undef PASS2
#define PASS3 1
#endif
#ifdef PASS1
#undef PASS1
#define PASS2 1
#endif
#ifdef PASS0
#undef PASS0
#endif
#ifdef PASS /* then rescan this file */
#ifdef NO_FILE
#include "config.c"
#else /* if the next line fails to compile, define NO_FILE */
#include __FILE__
#endif
#endif /* PASS */
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