allbery@uunet.UU.NET (Brandon S. Allbery - comp.sources.misc) (05/01/89)
Posting-number: Volume 6, Issue 96
Submitted-by: steven@cwi.nl (Steven Pemberton)
Archive-name: config2
This is a new version of a program that I started writing a few years
ago to automatically configure a large software system to the machine
it was to run on. Earlier versions of the program were also
distributed to the net.
The program tells you about lots of properties of your machine and C
compiler, and this version optionally produces the ANSI C float.h and
limits.h files. It also pinpoints some possible faults in your
compiler, and offers the option of verifying that the compiler is
correctly able to read the header files.
---------------------- CUT HERE -------------------------------------
#! /bin/sh
# This file was wrapped with "dummyshar". "sh" this file to extract.
# Contents: config.c
echo extracting 'config.c'
if test -f 'config.c' -a -z "$1"; then echo Not overwriting 'config.c'; else
sed 's/^X//' << \EOF > 'config.c'
X/* Everything you wanted to know about your machine and C compiler,
X but didn't know who to ask.
X Author: Steven Pemberton, CWI, Amsterdam; steven@cwi.nl
X Bugfixes and upgrades gratefully received.
X
X Copyright (c) 1988, 1989 Steven Pemberton, CWI, Amsterdam.
X All rights reserved.
X
X COMPILING
X With luck and a following wind, just the following will work:
X cc config.c -o config
X
X If your compiler doesn't support: add flag:
X signed char (eg pcc) -DNO_SC
X unsigned char -DNO_UC
X unsigned short and long -DNO_UI
X signal(), or setjmp/longjmp() -DNO_SIG
X
X Try it first with no flags, and see if you get any errors - you might be
X surprised. (Most non-ANSI compilers need -DNO_SC, though.)
X Some compilers need a -f flag for floating point.
X
X Don't use any optimisation flags: the program may not work if you do.
X Though "while (a+1.0-a-1.0 == 0.0)" may look like "while(1)" to an
X optimiser, to a floating-point unit there's a world of difference.
X
X Some compilers offer various flags for different floating point
X modes; it's worth trying all possible combinations of these.
X
X Add -DID=\"name\" if you want the machine/flags identified in the output.
X
X SYSTEM DEPENDENCIES
X You may possibly need to add some calls to signal() for other sorts of
X exception on your machine than SIGFPE, and SIGOVER. See lines beginning
X #ifdef SIGxxx in main() (and communicate the differences to me!).
X
X If your C preprocessor doesn't have the predefined __FILE__ macro, and
X you want to call this file anything other than config.c, change the
X #define command for __FILE__ accordingly. If it doesn't accept macro
X names at all in #include lines, order a new C compiler. While you're
X waiting for it to arrive, change the last #include in this file (the
X last but one line) accordingly.
X
X OUTPUT
X Run without argument to get the information as English text. If run
X with argument -l (e.g. config -l), output is a series of #define's for
X the ANSI standard limits.h include file, excluding MB_MAX_CHAR. If run
X with argument -f, output is a series of #define's for the ANSI standard
X float.h include file. Flag -v gives verbose output: output includes the
X English text above as C comments. The program exit(0)'s if everything
X went ok, otherwise it exits with a positive number, telling how many
X problems there were.
X
X VERIFYING THE COMPILER
X If, having produced the float.h and limits.h header files, you want to
X verify that the compiler reads them back correctly (there are a lot of
X boundary cases, of course, like minimum and maximum numbers), you can
X recompile config.c with -DVERIFY set (plus the other flags that you used
X when compiling the version that produced the header files). This then
X recompiles the program so that it #includes "limits.h" and "float.h",
X and checks that the constants it finds there are the same as the
X constants it produces. Run the resulting program with config -fl. As of
X this writing, of 21 compiler/flags combinations only 1 compiler has
X passed without error! (The honour goes to 'pcc' on an IBM RT.)
X
X You can also use this option if your compiler already has both files,
X and you want to confirm that this program produces the right results.
X
X TROUBLE SHOOTING.
X This program is now quite trustworthy, and suspicious and wrong output
X may well be caused by bugs in the compiler, not in the program (however
X of course, this is not guaranteed, and no responsibility can be
X accepted, etc.)
X
X The program only works if overflows are ignored by the C system or
X are catchable with signal().
X
X If the program fails to run to completion (often with the error message
X "Unexpected signal at point x"), this often turns out to be a bug in the
X C compiler's run-time system. Check what was about to be printed, and
X try to narrow the problem down.
X
X Another possible problem is that you have compiled the program to produce
X loss-of-precision arithmetic traps. The program cannot cope with these,
X and you should re-compile without them. (They should never be the default).
X
X Make sure you compiled with optimisation turned off.
X
X Output preceded by *** WARNING: identifies behaviour of the C system
X deemed incorrect by the program. Likely problems are that printf or
X scanf don't cope properly with certain boundary numbers. For each float
X and double that is printed, the printed value is checked that it is
X correct by using sscanf to read it back. Care is taken that numbers are
X printed with enough digits to uniquely identify them, and therefore that
X they can be read back identically. If the number read back is different,
X the program prints a warning message. If the two numbers in the warning
X look identical, then printf is more than likely rounding the last
X digit(s) incorrectly. To put you at ease that the two really are
X different, the bit patterns of the two numbers are also printed. The
X difference is very likely in the last bit. Many scanf's read the
X minimum double back as 0.0, and similarly cause overflow when reading
X the maximum double. The program quite ruthlessly declares all these
X behaviours faulty.
X
X The warning that "a cast didn't work" refers to cases like this:
X
X float f;
X #define C 1.234567890123456789
X f= C;
X if (f != (float) C) printf ("Wrong!");
X
X A faulty compiler will widen f to double and ignore the cast to float,
X and because there is more accuracy in a double than a float, fail to
X recognise that they are the same. In the actual case in point, f and C
X are passed as parameters to a function that discovers they are not equal,
X so it's just possible that the error was in the parameter passing,
X not in the cast (see function Validate()).
X For ANSI C, which has float constants, the error message is "constant has
X wrong precision".
X
X REPORTING PROBLEMS
X If the program doesn't work for you for any reason that can't be
X narrowed down to a problem in the C compiler, or it has to be changed in
X order to get it to compile, or it produces suspicious output (like a very
X low maximum float, for instance), please mail the problem and an example
X of the incorrect output to steven@cwi.nl or mcvax!steven.uucp, so that
X improvements can be worked into future versions; mcvax/cwi.nl is the
X European backbone, and is connected to uunet and other fine hosts.
X
X This version of the program is the first to try to catch and diagnose
X bugs in the compiler/run-time system. I would be especially pleased to
X have reports of failures so that I can improve this service.
X
X I apologise unreservedly for the contorted use of the preprocessor...
X
X THE SMALL PRINT
X You may copy and distribute verbatim copies of this source file.
X
X You may modify this source file, and copy and distribute such
X modified versions, provided that you leave the copyright notice
X at the top of the file and also cause the modified file to carry
X prominent notices stating that you changed the files and the date
X of any change; and cause the whole of any work that you distribute
X or publish, that in whole or in part contains or is a derivative of
X this program or any part thereof, to be licensed at no charge to
X all third parties on terms identical to those here.
X
X If you do have a fix to any problem, please send it to me, so that
X other people can have the benefits.
X
X While every effort has been taken to make this program as reliable as
X possible, no responsibility can be taken for the correctness of the
X output, or suitability for any particular use.
X
X ACKNOWLEDGEMENTS
X Many people have given time and ideas to making this program what it is.
X To all of them thanks, and apologies for not mentioning them by name.
X*/
X
X#ifndef __FILE__
X#define __FILE__ "config.c"
X#endif
X
X#ifndef PASS
X#define PASS 1
X#define PASS1 1
X#define VERSION "4.1"
X
X/* Procedure just marks the functions that don't return a result */
X#ifdef Procedure
X#undef Procedure
X#endif
X#define Procedure
X
X#define Vprintf if (V) printf
X
X/* stdc is used in tests like if (stdc) */
X#ifdef __STDC__
X#define stdc 1
X#else
X#define stdc 0
X#endif
X
X/* volatile is used to reduce the chance of optimisation,
X and to prevent variables being put in registers (when setjmp/longjmp
X wouldn't work as we want) */
X#ifndef __STDC__
X#define volatile static
X#endif
X
X#include <stdio.h>
X
X#ifdef VERIFY
X#include "limits.h"
X#include "float.h"
X#endif
X
X#ifdef NO_SIG /* There's no signal(), or setjmp/longjmp() */
X
X /* Dummy routines instead */
X int lab=1;
X int setjmp(lab) int lab; { return(0); }
X signal(i, p) int i, (*p)(); {}
X
X#else
X
X#include <signal.h>
X#include <setjmp.h>
X
X jmp_buf lab;
X overflow(sig) int sig; { /* what to do on overflow/underflow */
X signal(sig, overflow);
X longjmp(lab, 1);
X }
X
X#endif /*NO_SIG*/
X
X#define Unexpected(place) if (setjmp(lab)!=0) croak(place)
X
Xint V= 0, /* verbose */
X L= 0, /* produce limits.h */
X F= 0, /* produce float.h */
X bugs=0; /* The number of (possible) bugs in the output */
X
Xchar co[4], oc[4]; /* Comment starter and ender symbols */
X
Xint bits_per_byte; /* the number of bits per unit returned by sizeof() */
X
X#ifdef TEST
X/* Set the fp modes on a SUN with 68881 chip, to check that different
X rounding modes etc. get properly detected.
X Compile with additional flag -DTEST, and run with additional parameter
X +hex-number, to set the 68881 mode register to hex-number
X*/
X
X/* Bits 0x30 = rounding mode: */
X#define ROUND_BITS 0x30
X#define TO_NEAREST 0x00
X#define TO_ZERO 0x10
X#define TO_MINUS_INF 0x20
X#define TO_PLUS_INF 0x30 /* The SUN FP user's guide seems to be wrong here */
X
X/* Bits 0xc0 = extended rounding: */
X#define EXT_BITS 0xc0
X#define ROUND_EXTENDED 0x00
X#define ROUND_SINGLE 0x40
X#define ROUND_DOUBLE 0x80
X
X/* Enabled traps: */
X#define EXE_INEX1 0x100
X#define EXE_INEX2 0x200
X#define EXE_DZ 0x400
X#define EXE_UNFL 0x800
X#define EXE_OVFL 0x1000
X#define EXE_OPERR 0x2000
X#define EXE_SNAN 0x4000
X#define EXE_BSUN 0x8000
X
Xprintmode(new) unsigned new; {
X fpmode_(&new);
X printf("New fp mode:\n");
X printf(" Round toward ");
X switch (new & ROUND_BITS) {
X case TO_NEAREST: printf("nearest"); break;
X case TO_ZERO: printf("zero"); break;
X case TO_MINUS_INF: printf("minus infinity"); break;
X case TO_PLUS_INF: printf("plus infinity"); break;
X default: printf("???"); break;
X }
X
X printf("\n Extended rounding precision: ");
X
X switch (new & EXT_BITS) {
X case ROUND_EXTENDED: printf("extended"); break;
X case ROUND_SINGLE: printf("single"); break;
X case ROUND_DOUBLE: printf("double"); break;
X default: printf("???"); break;
X }
X
X printf("\n Enabled exceptions:");
X if (new & (unsigned) EXE_INEX1) printf(" inex1");
X if (new & (unsigned) EXE_INEX2) printf(" inex2");
X if (new & (unsigned) EXE_DZ) printf(" dz");
X if (new & (unsigned) EXE_UNFL) printf(" unfl");
X if (new & (unsigned) EXE_OVFL) printf(" ovfl");
X if (new & (unsigned) EXE_OPERR) printf(" operr");
X if (new & (unsigned) EXE_SNAN) printf(" snan");
X if (new & (unsigned) EXE_BSUN) printf(" bsun");
X printf("\n");
X}
X
Xint setmode(s) char *s; {
X unsigned mode=0, dig;
X char c;
X
X while (*s) {
X c= *s++;
X if (c>='0' && c<='9') dig= c-'0';
X else if (c>='a' && c<='f') dig= c-'a'+10;
X else if (c>='A' && c<='F') dig= c-'A'+10;
X else return 1;
X mode= mode<<4 | dig;
X }
X printmode(mode);
X return 0;
X}
X#else
Xint setmode(s) char *s; {
X fprintf(stderr, "Can't set mode: not compiled with TEST\n");
X return(1);
X}
X#endif
X
Xcroak(place) int place; {
X printf("*** Unexpected signal at point %d\n", place);
X exit(bugs+1); /* An exit isn't essential here, but avoids loops */
X}
X
Xmain(argc, argv) int argc; char *argv[]; {
X int dprec, fprec, lprec, basic(), fprop(), dprop(), efprop(), edprop();
X char *malloc();
X unsigned int size;
X long total;
X int i; char *s; int bad;
X
X#ifdef SIGFPE
X signal(SIGFPE, overflow);
X#endif
X#ifdef SIGOVER
X signal(SIGOVER, overflow);
X#endif
X/* Add more calls as necessary */
X
X Unexpected(1);
X
X bad=0;
X for (i=1; i < argc; i++) {
X s= argv[i];
X if (*s == '-') {
X s++;
X while (*s) {
X switch (*(s++)) {
X case 'v': V=1; break;
X case 'l': L=1; break;
X case 'f': F=1; break;
X default: bad=1; break;
X }
X }
X } else if (*s == '+') {
X s++;
X bad= setmode(s);
X } else bad= 1;
X }
X if (bad) {
X fprintf(stderr,
X "Usage: %s [-vlf]\n v=Verbose l=Limits.h f=Float.h\n",
X argv[0]);
X exit(1);
X }
X if (L || F) {
X co[0]= '/'; oc[0]= ' ';
X co[1]= '*'; oc[1]= '*';
X co[2]= ' '; oc[2]= '/';
X co[3]= '\0'; oc[3]= '\0';
X } else {
X co[0]= '\0'; oc[0]= '\0';
X V=1;
X }
X
X if (L) printf("%slimits.h%s\n", co, oc);
X if (F) printf("%sfloat.h%s\n", co, oc);
X#ifdef ID
X printf("%sProduced on %s by config version %s, CWI, Amsterdam%s\n",
X co, ID, VERSION, oc);
X#else
X printf("%sProduced by config version %s, CWI, Amsterdam%s\n",
X co, VERSION, oc);
X#endif
X
X#ifdef VERIFY
X printf("%sVerification phase%s\n", co, oc);
X#endif
X
X#ifdef NO_SIG
X Vprintf("%sCompiled without signal(): %s%s\n",
X co,
X "there's nothing that can be done if overflow occurs",
X oc);
X#endif
X#ifdef NO_SC
X Vprintf("%sCompiled without signed char%s\n", co, oc);
X#endif
X#ifdef NO_UC
X Vprintf("%Compiled without unsigned char%s\n", co, oc);
X#endif
X#ifdef NO_UI
X Vprintf("%Compiled without unsigned short or long%s\n", co, oc);
X#endif
X#ifdef __STDC__
X Vprintf("%sCompiler claims to be ANSI C level %d%s\n",
X co, __STDC__, oc);
X#else
X Vprintf("%sCompiler does not claim to be ANSI C%s\n", co, oc);
X#endif
X printf("\n");
X bits_per_byte= basic();
X Vprintf("\n");
X if (F||V) {
X fprec= fprop(bits_per_byte);
X dprec= dprop(bits_per_byte);
X lprec= ldprop(bits_per_byte);
X efprop(fprec, dprec, lprec);
X edprop(fprec, dprec, lprec);
X eldprop(fprec, dprec, lprec);
X }
X if (V) {
X /* An extra goody: the approximate amount of data-space */
X /* Allocate store until no more available */
X size=1<<((bits_per_byte*sizeof(int))-2);
X total=0;
X while (size!=0) {
X while (malloc(size)!=(char *)NULL) total+=(size/2);
X size/=2;
X }
X
X Vprintf("%sMemory mallocatable ~= %ld Kbytes%s\n",
X co, (total+511)/512, oc);
X }
X exit(bugs);
X}
X
XProcedure eek_a_bug(problem) char *problem; {
X printf("\n%s*** WARNING: %s%s\n", co, problem, oc);
X bugs++;
X}
X
XProcedure i_define(sort, name, val, req) char *sort, *name; long val, req; {
X if (val >= 0) {
X printf("#define %s%s %ld\n", sort, name, val);
X } else {
X printf("#define %s%s (%ld)\n", sort, name, val);
X }
X if (val != req) {
X printf("%s*** Verify failed for above #define!\n", co);
X printf(" Compiler has %ld for value%s\n\n", req, oc);
X bugs++;
X }
X Vprintf("\n");
X}
X
X#ifndef NO_UI
X
X#ifdef __STDC__
X#define U "U"
X#else
X#define U ""
X#endif
X
XProcedure u_define(sort, name, val, req) char *sort, *name; unsigned long val, req; {
X printf("#define %s%s %lu%s\n", sort, name, val, U);
X if (val != req) {
X printf("%s*** Verify failed for above #define!\n", co);
X printf(" Compiler has %lu for value%s\n\n", req, oc);
X bugs++;
X }
X Vprintf("\n");
X}
X#endif
X
X/* Long_double is the longest floating point type available: */
X#ifdef __STDC__
X#define Long_double long double
X#else
X#define Long_double double
X#endif
X
Xchar *f_rep();
X
XProcedure f_define(sort, name, precision, val, mark)
X char *sort, *name; int precision; Long_double val; char *mark; {
X if (stdc) {
X printf("#define %s%s %s%s\n",
X sort, name, f_rep(precision, val), mark);
X } else if (*mark == 'F') {
X /* non-ANSI C has no float constants, so cast the constant */
X printf("#define %s%s ((float)%s)\n",
X sort, name, f_rep(precision, val));
X } else {
X printf("#define %s%s %s\n", sort, name, f_rep(precision, val));
X }
X Vprintf("\n");
X}
X
Xint floor_log(base, x) int base; Long_double x; { /* return floor(log base(x)) */
X int r=0;
X while (x>=base) { r++; x/=base; }
X return r;
X}
X
Xint ceil_log(base, x) int base; Long_double x; {
X int r=0;
X while (x>1.0) { r++; x/=base; }
X return r;
X}
X
Xint exponent(x, fract, exp) Long_double x; double *fract; int *exp; {
X /* Split x into a fraction and a power of ten;
X returns 0 if x is unusable, 1 otherwise.
X Only used for error messages about faulty output.
X */
X int r=0, neg=0;
X Long_double old;
X *fract=0.0; *exp=0;
X if (x<0.0) {
X x= -x;
X neg= 1;
X }
X if (x==0.0) return 1;
X if (x>=10.0) {
X while (x>=10.0) {
X old=x; r++; x/=10.0;
X if (old==x) return 0;
X }
X } else {
X while (x<1.0) {
X old=x; r--; x*=10.0;
X if (old==x) return 0;
X }
X }
X if (neg) *fract= -x;
X else *fract=x;
X *exp=r;
X return 1;
X}
X
X#define fabs(x) (((x)<0.0)?(-x):(x))
X
Xchar *f_rep(precision, val) int precision; Long_double val; {
X static char buf[1024];
X char *f1;
X if (sizeof(double) == sizeof(Long_double)) {
X /* Assume they're the same, and use non-stdc format */
X /* This is for stdc compilers using non-stdc libraries */
X f1= "%.*e";
X } else {
X /* It had better support Le then */
X f1= "%.*Le";
X }
X sprintf(buf, f1, precision, val);
X return buf;
X}
X
XProcedure bitpattern(p, size) char *p; int size; {
X char c;
X int i, j;
X
X for (i=1; i<=size; i++) {
X c= *p;
X p++;
X for (j=bits_per_byte-1; j>=0; j--)
X printf("%c", (c>>j)&1 ? '1' : '0');
X if (i!=size) printf(" ");
X }
X}
X
X#define Order(x, px, mode)\
X printf("%s %s ", co, mode); for (i=0; i<sizeof(x); i++) px[i]= c[i]; \
X for (i=1; i<=sizeof(x); i++) { putchar((char)((x>>(bits_per_byte*(sizeof(x)-i)))&mask)); }\
X printf("%s\n", oc);
X
XProcedure endian(bits_per_byte) int bits_per_byte; {
X /*unsigned*/ short s=0;
X /*unsigned*/ int j=0;
X /*unsigned*/ long l=0;
X
X char *ps= (char *) &s,
X *pj= (char *) &j,
X *pl= (char *) &l,
X *c= "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
X unsigned int mask, i;
X
X mask=0;
X for (i=1; i<=bits_per_byte; i++) mask= (mask<<1)|1;
X
X if (V) {
X printf("%sCharacter order:%s\n", co, oc);
X Order(s, ps, "short:");
X Order(j, pj, "int: ");
X Order(l, pl, "long: ");
X }
X}
X
X#ifdef VERIFY
X#ifndef SCHAR_MAX
X#define SCHAR_MAX char_max
X#define SCHAR_MIN char_min
X#endif
X#ifndef UCHAR_MAX
X#define UCHAR_MAX char_max
X#endif
X#else
X#define CHAR_BIT char_bit
X#define CHAR_MAX char_max
X#define CHAR_MIN char_min
X#define SCHAR_MAX char_max
X#define SCHAR_MIN char_min
X#define UCHAR_MAX char_max
X#endif /* VERIFY */
X
Xint cprop() { /* Properties of character */
X volatile char c, char_max, char_min;
X volatile int bits_per_byte, is_signed;
X long char_bit;
X
X Unexpected(2);
X
X /* Calculate number of bits per character *************************/
X c=1; bits_per_byte=0;
X do { c=c<<1; bits_per_byte++; } while(c!=0);
X c= (char)(-1);
X if (((int)c)<0) is_signed=1;
X else is_signed=0;
X Vprintf("%sChar = %d bits, %ssigned%s\n",
X co, (int)sizeof(c)*bits_per_byte, (is_signed?"":"un"), oc);
X char_bit=(long)(sizeof(c)*bits_per_byte);
X if (L) i_define("CHAR", "_BIT", char_bit, (long) CHAR_BIT);
X
X c=0; char_max=0;
X c++;
X if (setjmp(lab)==0) { /* Yields char_max */
X while (c>char_max) {
X char_max=c;
X c++;
X }
X } else {
X Vprintf("%sCharacter overflow generates a trap!%s\n", co, oc);
X }
X c=0; char_min=0;
X c--;
X if (setjmp(lab)==0) { /* Yields char_min */
X while (c<char_min) {
X char_min=c;
X c--;
X }
X }
X Unexpected(3);
X
X if (L) {
X i_define("CHAR", "_MAX", (long) char_max, (long) CHAR_MAX);
X i_define("CHAR", "_MIN", (long) char_min, (long) CHAR_MIN);
X if (is_signed) {
X i_define("SCHAR", "_MAX", (long) char_max,
X (long) SCHAR_MAX);
X i_define("SCHAR", "_MIN", (long) char_min,
X (long) SCHAR_MIN);
X } else {
X i_define("UCHAR", "_MAX", (long) char_max,
X (long) UCHAR_MAX);
X }
X
X if (is_signed) {
X#ifndef NO_UC
X volatile unsigned char c, char_max;
X c=0; char_max=0;
X c++;
X if (setjmp(lab)==0) { /* Yields char_max */
X while (c>char_max) {
X char_max=c;
X c++;
X }
X }
X Unexpected(4);
X i_define("UCHAR", "_MAX", (long) char_max,
X (long) UCHAR_MAX);
X#endif
X } else {
X#ifndef NO_SC /* Define NO_SC if the next line gives a syntax error */
X volatile signed char c, char_max, char_min;
X c=0; char_max=0;
X c++;
X if (setjmp(lab)==0) { /* Yields char_max */
X while (c>char_max) {
X char_max=c;
X c++;
X }
X }
X c=0; char_min=0;
X c--;
X if (setjmp(lab)==0) { /* Yields char_min */
X while (c<char_min) {
X char_min=c;
X c--;
X }
X }
X Unexpected(5);
X i_define("SCHAR", "_MIN", (long) char_min,
X (long) SCHAR_MIN);
X i_define("SCHAR", "_MAX", (long) char_max,
X (long) SCHAR_MAX);
X#endif /* NO_SC */
X }
X }
X return bits_per_byte;
X}
X
Xint basic() {
X /* The properties of the basic types.
X Returns number of bits per sizeof unit */
X volatile int bits_per_byte;
X
X bits_per_byte= cprop();
X
X /* Shorts, ints and longs *****************************************/
X Vprintf("%sShort=%d int=%d long=%d float=%d double=%d bits %s\n",
X co,
X (int) sizeof(short)*bits_per_byte,
X (int) sizeof(int)*bits_per_byte,
X (int) sizeof(long)*bits_per_byte,
X (int) sizeof(float)*bits_per_byte,
X (int) sizeof(double)*bits_per_byte, oc);
X if (stdc) {
X Vprintf("%sLong double=%d bits%s\n",
X co, (int) sizeof(Long_double)*bits_per_byte, oc);
X }
X Vprintf("%sChar pointers = %d bits%s%s\n",
X co, (int)sizeof(char *)*bits_per_byte,
X sizeof(char *)>sizeof(int)?" BEWARE! larger than int!":"",
X oc);
X Vprintf("%sInt pointers = %d bits%s%s\n",
X co, (int)sizeof(int *)*bits_per_byte,
X sizeof(int *)>sizeof(int)?" BEWARE! larger than int!":"",
X oc);
X sprop();
X iprop();
X lprop();
X usprop();
X uiprop();
X ulprop();
X
X Unexpected(6);
X
X /* Alignment constants ********************************************/
X Vprintf("%sAlignments used for char=%d short=%d int=%d long=%d%s\n",
X co,
X (int)sizeof(struct{char i1; char c1;})-(int)sizeof(char),
X (int)sizeof(struct{short i2; char c2;})-(int)sizeof(short),
X (int)sizeof(struct{int i3; char c3;})-(int)sizeof(int),
X (int)sizeof(struct{long i4; char c4;})-(int)sizeof(long),
X oc);
X
X /* Ten little endians *********************************************/
X
X endian(bits_per_byte);
X
X /* Pointers *******************************************************/
X if (V) {
X if ("abcd"=="abcd")
X printf("%sStrings are shared%s\n", co, oc);
X else printf("%sStrings are not shared%s\n", co, oc);
X }
X
X return bits_per_byte;
X}
X
X#endif /* ifndef PASS */
X
X/* As I said, I apologise for the contortions below. The functions are
X expanded by the preprocessor twice or three times (for float and double,
X and maybe for long double, and for short, int and long). That way,
X I never make a change to one that I forget to make to the other.
X You can look on it as C's fault for not supporting multi-line macro's.
X This whole file is read 3 times by the preprocessor, with PASSn set for
X n=1, 2 or 3, to decide which parts to reprocess.
X*/
X
X/* #undef on an already undefined thing is (wrongly) flagged as an error
X by some compilers, therefore the #ifdef that follows:
X*/
X#ifdef Number
X#undef Number
X#undef THING
X#undef Thing
X#undef thing
X#undef FPROP
X#undef Fname
X#undef Store
X#undef Sum
X#undef Diff
X#undef Mul
X#undef Div
X#undef Self
X#undef F_check
X#undef Validate
X#undef EPROP
X#undef MARK
X
X#undef F_RADIX
X#undef F_MANT_DIG
X#undef F_DIG
X#undef F_ROUNDS
X#undef F_EPSILON
X#undef F_MIN_EXP
X#undef F_MIN
X#undef F_MIN_10_EXP
X#undef F_MAX_EXP
X#undef F_MAX
X#undef F_MAX_10_EXP
X#endif
X
X#ifdef Integer
X#undef Integer
X#undef INT
X#undef IPROP
X#undef Iname
X#undef UPROP
X#undef Uname
X#undef OK_UI
X
X#undef I_MAX
X#undef I_MIN
X#undef U_MAX
X#endif
X
X#ifdef PASS1
X
X#define Number float
X#define THING "FLOAT"
X#define Thing "Float"
X#define thing "float"
X#define Fname "FLT"
X#define FPROP fprop
X#define Store fStore
X#define Sum fSum
X#define Diff fDiff
X#define Mul fMul
X#define Div fDiv
X#define Self fSelf
X#define F_check fCheck
X#define Validate fValidate
X#define MARK "F"
X
X#define EPROP efprop
X
X#define Integer short
X#define INT "short"
X#define IPROP sprop
X#define Iname "SHRT"
X#ifndef NO_UI
X#define OK_UI 1
X#endif
X
X#define UPROP usprop
X#define Uname "USHRT"
X
X#ifdef VERIFY
X#define I_MAX SHRT_MAX
X#define I_MIN SHRT_MIN
X#define U_MAX USHRT_MAX
X
X#define F_RADIX FLT_RADIX
X#define F_MANT_DIG FLT_MANT_DIG
X#define F_DIG FLT_DIG
X#define F_ROUNDS FLT_ROUNDS
X#define F_EPSILON FLT_EPSILON
X#define F_MIN_EXP FLT_MIN_EXP
X#define F_MIN FLT_MIN
X#define F_MIN_10_EXP FLT_MIN_10_EXP
X#define F_MAX_EXP FLT_MAX_EXP
X#define F_MAX FLT_MAX
X#define F_MAX_10_EXP FLT_MAX_10_EXP
X#endif /* VERIFY */
X
X#endif /* PASS1 */
X
X#ifdef PASS2
X
X#define Number double
X#define THING "DOUBLE"
X#define Thing "Double"
X#define thing "double"
X#define Fname "DBL"
X#define FPROP dprop
X#define Store dStore
X#define Sum dSum
X#define Diff dDiff
X#define Mul dMul
X#define Div dDiv
X#define Self dSelf
X#define F_check dCheck
X#define Validate dValidate
X#define MARK ""
X
X#define EPROP edprop
X
X#define Integer int
X#define INT "int"
X#define IPROP iprop
X#define Iname "INT"
X#define OK_UI 1 /* Unsigned int is always possible */
X
X#define UPROP uiprop
X#define Uname "UINT"
X
X#ifdef VERIFY
X#define I_MAX INT_MAX
X#define I_MIN INT_MIN
X#define U_MAX UINT_MAX
X
X#define F_MANT_DIG DBL_MANT_DIG
X#define F_DIG DBL_DIG
X#define F_EPSILON DBL_EPSILON
X#define F_MIN_EXP DBL_MIN_EXP
X#define F_MIN DBL_MIN
X#define F_MIN_10_EXP DBL_MIN_10_EXP
X#define F_MAX_EXP DBL_MAX_EXP
X#define F_MAX DBL_MAX
X#define F_MAX_10_EXP DBL_MAX_10_EXP
X#endif /* VERIFY */
X
X#endif /* PASS2 */
X
X#ifdef PASS3
X
X#ifdef __STDC__
X#define Number long double
X#endif
X
X#define THING "LONG DOUBLE"
X#define Thing "Long double"
X#define thing "long double"
X#define Fname "LDBL"
X#define FPROP ldprop
X#define Store ldStore
X#define Sum ldSum
X#define Diff ldDiff
X#define Mul ldMul
X#define Div ldDiv
X#define Self ldSelf
X#define F_check ldCheck
X#define Validate ldValidate
X#define MARK "L"
X
X#define EPROP eldprop
X
X#define Integer long
X#define INT "long"
X#define IPROP lprop
X#define Iname "LONG"
X#ifndef NO_UI
X#define OK_UI 1
X#endif
X
X#define UPROP ulprop
X#define Uname "ULONG"
X
X#ifdef VERIFY
X#define I_MAX LONG_MAX
X#define I_MIN LONG_MIN
X#define U_MAX ULONG_MAX
X
X#define F_MANT_DIG LDBL_MANT_DIG
X#define F_DIG LDBL_DIG
X#define F_EPSILON LDBL_EPSILON
X#define F_MIN_EXP LDBL_MIN_EXP
X#define F_MIN LDBL_MIN
X#define F_MIN_10_EXP LDBL_MIN_10_EXP
X#define F_MAX_EXP LDBL_MAX_EXP
X#define F_MAX LDBL_MAX
X#define F_MAX_10_EXP LDBL_MAX_10_EXP
X#endif /* VERIFY */
X
X#endif /* PASS3 */
X
X#ifndef VERIFY
X#define I_MAX int_max
X#define I_MIN int_min
X#define U_MAX int_max
X
X#define F_RADIX f_radix
X#define F_MANT_DIG f_mant_dig
X#define F_DIG f_dig
X#define F_ROUNDS f_rounds
X#define F_EPSILON f_epsilon
X#define F_MIN_EXP f_min_exp
X#define F_MIN f_min
X#define F_MIN_10_EXP f_min_10_exp
X#define F_MAX_EXP f_max_exp
X#define F_MAX f_max
X#define F_MAX_10_EXP f_max_10_exp
X#endif
X
XProcedure IPROP() { /* for short, int, and long */
X volatile Integer newi, int_max, maxeri, int_min, minneri;
X volatile int ibits, ipower, two=2;
X
X /* Calculate max short/int/long ***********************************/
X /* Calculate 2**n-1 until overflow - then use the previous value */
X
X newi=1; int_max=0;
X
X if (setjmp(lab)==0) { /* Yields int_max */
X for(ipower=0; newi>int_max; ipower++) {
X int_max=newi;
X newi=newi*two+1;
X }
X Vprintf("%sOverflow of a%s %s does not generate a trap%s\n",
X co, INT[0]=='i'?"n":"", INT, oc);
X } else {
X Vprintf("%sOverflow of a%s %s generates a trap%s\n",
X co, INT[0]=='i'?"n":"", INT, oc);
X }
X Unexpected(7);
X
X /* Minimum value: assume either two's or one's complement *********/
X int_min= -int_max;
X if (setjmp(lab)==0) { /* Yields int_min */
X if (int_min-1 < int_min) int_min--;
X }
X Unexpected(8);
X
X /* Now for those daft Cybers: */
X
X maxeri=0; newi=int_max;
X
X if (setjmp(lab)==0) { /* Yields maxeri */
X for(ibits=ipower; newi>maxeri; ibits++) {
X maxeri=newi;
X newi=newi+newi+1;
X }
X }
X Unexpected(9);
X
X minneri= -maxeri;
X if (setjmp(lab)==0) { /* Yields minneri */
X if (minneri-1 < minneri) minneri--;
X }
X Unexpected(10);
X
X Vprintf("%sMaximum %s = %ld (= 2**%d-1)%s\n",
X co, INT, (long)int_max, ipower, oc);
X Vprintf("%sMinimum %s = %ld%s\n", co, INT, (long)int_min, oc);
X
X if (L) i_define(Iname, "_MAX", (long) int_max, (long) I_MAX);
X if (L) i_define(Iname, "_MIN", (long) int_min, (long) I_MIN);
X
X if (maxeri>int_max) {
X Vprintf("%sThere is a larger %s, %ld (= 2**%d-1), %s %s%s\n",
X co, INT, (long)maxeri, ibits,
X "but only for addition, not multiplication",
X "(I smell a Cyber!)",
X oc);
X }
X
X if (minneri<int_min) {
X Vprintf("%sThere is a smaller %s, %ld, %s %s%s\n",
X co, INT, (long)minneri,
X "but only for addition, not multiplication",
X "(I smell a Cyber!)",
X oc);
X }
X}
X
XProcedure UPROP () { /* unsigned short/int/long */
X#ifdef OK_UI
X volatile unsigned Integer int_max, newi, two;
X newi=1; int_max=0; two=2;
X
X if (setjmp(lab)==0) { /* Yields int_max */
X while(newi>int_max) {
X int_max=newi;
X newi=newi*two+1;
X }
X }
X Unexpected(11);
X Vprintf("%sMaximum unsigned %s = %lu%s\n",
X co, INT, (unsigned long) int_max, oc);
X if (L) u_define(Uname, "_MAX", (unsigned long) int_max,
X (unsigned long) U_MAX);
X#endif
X}
X
X
X#ifdef Number
X
X/* These routines are intended to defeat any attempt at optimisation
X or use of extended precision, and to defeat faulty narrowing casts:
X*/
XProcedure Store(a, b) Number a, *b; { *b=a; }
XNumber Sum(a, b) Number a, b; { Number r; Store(a+b, &r); return (r); }
XNumber Diff(a, b) Number a, b; { Number r; Store(a-b, &r); return (r); }
XNumber Mul(a, b) Number a, b; { Number r; Store(a*b, &r); return (r); }
XNumber Div(a, b) Number a, b; { Number r; Store(a/b, &r); return (r); }
XNumber Self(a) Number a; { Number r; Store(a, &r); return (r); }
X
XProcedure F_check(precision, val1) int precision; Long_double val1; {
X /* You don't think I'm going to go to all the trouble of writing
X a program that works out what all sorts of values are, only to
X have printf go and print the wrong values out, do you?
X No, you're right, so this function tries to see if printf
X has written the right value, by reading it back again.
X This introduces a new problem of course: suppose printf writes
X the correct value, and scanf reads it back wrong... oh well.
X But I'm adamant about this: the precision given is enough
X to uniquely identify the printed number, therefore I insist
X that sscanf read the number back identically. Harsh yes, but
X sometimes you've got to be cruel to be kind.
X */
X Long_double new1;
X Number val, new, diff;
X double rem;
X int e;
X char *rep;
X char *f2;
X
X if (sizeof(double) == sizeof(Long_double)) {
X /* Assume they're the same, and use non-stdc format */
X /* This is for stdc compilers using non-stdc libraries */
X f2= "%le"; /* Input */
X } else {
X /* It had better support Le then */
X f2= "%Le";
X }
X val= val1;
X rep= f_rep(precision, (Long_double) val);
X if (setjmp(lab)==0) {
X sscanf(rep, f2, &new1);
X } else {
X eek_a_bug("sscanf caused a trap");
X printf("%s scanning: %s format: %s%s\n\n", co, rep, f2, oc);
X Unexpected(12);
X return;
X }
X
X if (setjmp(lab)==0) { /* See if new is usable */
X new= new1;
X if (new != 0.0) {
X diff= val/new - 1.0;
X if (diff < 0.1) diff= 1.0;
X /* That should be enough to generate a trap */
X }
X } else {
X eek_a_bug("sscanf returned an unusable number");
X printf("%s scanning: %s with format: %s%s\n\n",
X co, rep, f2, oc);
X Unexpected(13);
X return;
X }
X
X Unexpected(14);
X if (new != val) {
X eek_a_bug("Possibly bad output from printf above");
X if (!exponent(val, &rem, &e)) {
X printf("%s but value was an unusable number%s\n\n",
X co, oc);
X return;
X }
X printf("%s expected value around %.*fe%d, bit pattern:\n ",
X co, precision, rem, e);
X bitpattern((char *) &val, sizeof(val));
X printf ("%s\n", oc);
X printf("%s sscanf gave %s, bit pattern:\n ",
X co, f_rep(precision, (Long_double) new));
X bitpattern((char *) &new, sizeof(new));
X printf ("%s\n", oc);
X printf("%s difference= %s%s\n\n",
X co, f_rep(precision, (Long_double) (val-new)), oc);
X }
X}
X
XProcedure Validate(prec, val, req, same) int prec, same; Long_double val, req; {
X Unexpected(15);
X if (!same) {
X printf("%s*** Verify failed for above #define!\n", co);
X if (setjmp(lab) == 0) { /* for the case that req == nan */
X printf(" Compiler has %s for value%s\n",
X f_rep(prec, req), oc);
X } else {
X printf(" Compiler has %s for value%s\n",
X "an unusable number", oc);
X }
X if (setjmp(lab) == 0) {
X F_check(prec, (Long_double) req);
X } /*else forget it*/
X if (setjmp(lab) == 0) {
X if (req > 0.0 && val > 0.0) {
X printf("%s difference= %s%s\n",
X co, f_rep(prec, val-req), oc);
X }
X } /*else forget it*/
X Unexpected(16);
X printf("\n");
X bugs++;
X } else if (val != req) {
X if (stdc) {
X printf("%s*** Verify failed for above #define!\n", co);
X printf(" Constant has the wrong precision%s\n",
X oc);
X bugs++;
X } else eek_a_bug("the cast didn't work");
X printf("\n");
X }
X}
X
Xint FPROP(bits_per_byte) int bits_per_byte; {
X /* Properties of floating types, using algorithms by Cody and Waite
X from MA Malcolm, as modified by WM Gentleman and SB Marovich.
X Further extended by S Pemberton.
X
X Returns the number of digits in the fraction.
X */
X
X volatile int i, f_radix, iexp, irnd, mrnd, f_rounds, f_mant_dig,
X iz, k, inf, machep, f_max_exp, f_min_exp, mx, negeps,
X mantbits, digs, f_dig, trap,
X hidden, normal, f_min_10_exp, f_max_10_exp;
X volatile Number a, b, base, basein, basem1, f_epsilon, epsneg,
X f_max, newxmax, f_min, xminner, y, y1, z, z1, z2;
X
X Unexpected(17);
X
X Vprintf("%sPROPERTIES OF %s:%s\n", co, THING, oc);
X
X /* Base and size of mantissa **************************************/
X /* First repeatedly double until adding 1 has no effect. */
X /* For instance, if base is 10, with 3 significant digits */
X /* it will try 1, 2, 4, 8, ... 512, 1024, and stop there, */
X /* since 1024 is only representable as 1020. */
X a=1.0;
X if (setjmp(lab)==0) { /* inexact trap? */
X do { a=Sum(a, a); }
X while (Diff(Diff(Sum(a, 1.0), a), 1.0) == 0.0);
X } else {
X fprintf(stderr, "*** Program got loss-of-precision trap!\n");
X /* And supporting those is just TOO much trouble! */
X exit(bugs+1);
X }
X Unexpected(18);
X /* Now double until you find a number that can be added to the */
X /* above number. For 1020 this is 8 or 16, depending whether the */
X /* result is rounded or truncated. */
X /* In either case the result is 1030. 1030-1020= the base, 10. */
X b=1.0;
X do { b=Sum(b, b); } while ((base=Diff(Sum(a, b), a)) == 0.0);
X f_radix=base;
X Vprintf("%sBase = %d%s\n", co, f_radix, oc);
X
X /* Sanity check; if base<2, I can't guarantee the rest will work */
X if (f_radix < 2) {
X eek_a_bug("Function return or parameter passing faulty? (This is a guess.)");
X printf("\n");
X return(0);
X }
X
X#ifdef PASS1 /* only for FLT */
X if (F) i_define("FLT", "_RADIX", (long) f_radix, (long) F_RADIX);
X#endif
X
X /* Now the number of digits precision: */
X f_mant_dig=0; b=1.0;
X do { f_mant_dig++; b=Mul(b, base); }
X while (Diff(Diff(Sum(b,1.0),b),1.0) == 0.0);
X f_dig=floor_log(10, (Long_double)(b/base)) + (base==10?1:0);
X Vprintf("%sSignificant base digits = %d %s %d %s%s\n",
X co, f_mant_dig, "(= at least", f_dig, "decimal digits)", oc);
X if (F) i_define(Fname, "_MANT_DIG", (long) f_mant_dig,
X (long) F_MANT_DIG);
X if (F) i_define(Fname, "_DIG", (long) f_dig, (long) F_DIG);
X digs= ceil_log(10, (Long_double)b); /* the number of digits to printf */
X
X /* Rounding *******************************************************/
X basem1=Diff(base, 0.5);
X if (Diff(Sum(a, basem1), a) != 0.0) {
X if (f_radix == 2) basem1=0.375;
X else basem1=1.0;
X if (Diff(Sum(a, basem1), a) != 0.0) irnd=2; /* away from 0 */
X else irnd=1; /* to nearest */
X } else irnd=0; /* towards 0 */
X
X basem1=Diff(base, 0.5);
X
X if (Diff(Diff(-a, basem1), -a) != 0.0) {
X if (f_radix == 2) basem1=0.375;
X else basem1=1.0;
X if (Diff(Diff(-a, basem1), -a) != 0.0) mrnd=2; /* away from 0*/
X else mrnd=1; /* to nearest */
X } else mrnd=0; /* towards 0 */
X
X f_rounds=4; /* Unknown rounding */
X if (irnd==0 && mrnd==0) f_rounds=0; /* zero = chops */
X if (irnd==1 && mrnd==1) f_rounds=1; /* nearest */
X if (irnd==2 && mrnd==0) f_rounds=2; /* +inf */
X if (irnd==0 && mrnd==2) f_rounds=3; /* -inf */
X
X if (f_rounds != 4) {
X Vprintf("%sArithmetic rounds towards ", co);
X switch (f_rounds) {
X case 0: Vprintf("zero (i.e. it chops)"); break;
X case 1: Vprintf("nearest"); break;
X case 2: Vprintf("+infinity"); break;
X case 3: Vprintf("-infinity"); break;
X default: Vprintf("???"); break;
X }
X Vprintf("%s\n", oc);
X } else { /* Hmm, try to give some help here: */
X Vprintf("%sArithmetic rounds oddly: %s\n", co, oc);
X Vprintf("%s Negative numbers %s%s\n",
X co, mrnd==0 ? "towards zero" :
X mrnd==1 ? "to nearest" :
X "away from zero",
X oc);
X Vprintf("%s Positive numbers %s%s\n",
X co, irnd==0 ? "towards zero" :
X irnd==1 ? "to nearest" :
X "away from zero",
X oc);
X }
X /* An extra goody */
X if (f_radix == 2 && f_rounds == 1) {
X if (Diff(Sum(a, 1.0), a) != 0.0) {
X Vprintf("%s Tie breaking rounds up%s\n", co, oc);
X } else if (Diff(Sum(a, 3.0), a) == 4.0) {
X Vprintf("%s Tie breaking rounds to even%s\n", co, oc);
X } else {
X Vprintf("%s Tie breaking rounds down%s\n", co, oc);
X }
X }
X#ifdef PASS1 /* only for FLT */
X if (F) i_define("FLT", "_ROUNDS", (long) f_rounds, (long) F_ROUNDS);
X#endif
X
X /* Various flavours of epsilon ************************************/
X negeps=f_mant_dig+f_mant_dig;
X basein=1.0/base;
X a=1.0;
X for(i=1; i<=negeps; i++) a*=basein;
X
X b=a;
X while (Diff(Diff(1.0, a), 1.0) == 0.0) {
X a*=base;
X negeps--;
X }
X negeps= -negeps;
X Vprintf("%sSmallest x such that 1.0-base**x != 1.0 = %d%s\n",
X co, negeps, oc);
X
X epsneg=a;
X if ((f_radix!=2) && irnd) {
X /* a=(a*(1.0+a))/(1.0+1.0); => */
X a=Div(Mul(a, Sum(1.0, a)), Sum(1.0, 1.0));
X /* if ((1.0-a)-1.0 != 0.0) epsneg=a; => */
X if (Diff(Diff(1.0, a), 1.0) != 0.0) epsneg=a;
X }
X Vprintf("%sSmall x such that 1.0-x != 1.0 = %s%s\n",
X co, f_rep(digs, (Long_double) epsneg), oc);
X /* it may not be the smallest */
X if (V) F_check(digs, (Long_double) epsneg);
X Unexpected(19);
X
X machep= -f_mant_dig-f_mant_dig;
X a=b;
X while (Diff(Sum(1.0, a), 1.0) == 0.0) { a*=base; machep++; }
X Vprintf("%sSmallest x such that 1.0+base**x != 1.0 = %d%s\n",
X co, machep, oc);
X
X f_epsilon=a;
X if ((f_radix!=2) && irnd) {
X /* a=(a*(1.0+a))/(1.0+1.0); => */
X a=Div(Mul(a, Sum(1.0, a)), Sum(1.0, 1.0));
X /* if ((1.0+a)-1.0 != 0.0) f_epsilon=a; => */
X if (Diff(Sum(1.0, a), 1.0) != 0.0) f_epsilon=a;
X }
X Vprintf("%sSmallest x such that 1.0+x != 1.0 = %s%s\n",
X co, f_rep(digs, (Long_double) f_epsilon), oc);
X /* Possible loss of precision warnings here from non-stdc compilers: */
X if (F) f_define(Fname, "_EPSILON", digs, (Long_double) f_epsilon, MARK);
X if (V || F) F_check(digs, (Long_double) f_epsilon);
X Unexpected(20);
X if (F) Validate(digs, (Long_double) f_epsilon, (Long_double) F_EPSILON,
X f_epsilon == Self(F_EPSILON));
X Unexpected(21);
X
X /* Extra chop info *************************************************/
X if (f_rounds == 0) {
X if (Diff(Mul(Sum(1.0,f_epsilon),1.0),1.0) != 0.0) {
X Vprintf("%sAlthough arithmetic chops, it uses guard digits%s\n", co, oc);
X }
X }
X
X /* Size of and minimum normalised exponent ************************/
X y=0; i=0; k=1; z=basein; z1=(1.0+f_epsilon)/base;
X
X /* Coarse search for the largest power of two */
X if (setjmp(lab)==0) { /* for underflow trap */ /* Yields i, k, y, y1 */
X do {
X y=z; y1=z1;
X z=Mul(y,y); z1=Mul(z1, y);
X a=Mul(z,1.0);
X z2=Div(z1,y);
X if (z2 != y1) break;
X if ((Sum(a,a) == 0.0) || (fabs(z) >= y)) break;
X i++;
X k+=k;
X } while(1);
X } else {
X Vprintf("%s%s underflow generates a trap%s\n", co, Thing, oc);
X }
X Unexpected(22);
X
X if (f_radix != 10) {
X iexp=i+1; /* for the sign */
X mx=k+k;
X } else {
X iexp=2;
X iz=f_radix;
X while (k >= iz) { iz*=f_radix; iexp++; }
X mx=iz+iz-1;
X }
X
X /* Fine tune starting with y and y1 */
X if (setjmp(lab)==0) { /* for underflow trap */ /* Yields k, f_min */
X do {
X f_min=y; z1=y1;
X y=Div(y,base); y1=Div(y1,base);
X a=Mul(y,1.0);
X z2=Mul(y1,base);
X if (z2 != z1) break;
X if ((Sum(a,a) == 0.0) || (fabs(y) >= f_min)) break;
X k++;
X } while (1);
X }
X Unexpected(23);
X
X f_min_exp=(-k)+1;
X
X if ((mx <= k+k-3) && (f_radix != 10)) { mx+=mx; iexp+=1; }
X Vprintf("%sNumber of bits used for exponent = %d%s\n", co, iexp, oc);
X Vprintf("%sMinimum normalised exponent = %d%s\n", co, f_min_exp, oc);
X if (F) i_define(Fname, "_MIN_EXP", (long) f_min_exp, (long) F_MIN_EXP);
X
X if (setjmp(lab)==0) {
X Vprintf("%sMinimum normalised positive number = %s%s\n",
X co, f_rep(digs, (Long_double) f_min), oc);
X } else {
X eek_a_bug("printf can't print the smallest normalised number");
X printf("\n");
X }
X Unexpected(24);
X /* Possible loss of precision warnings here from non-stdc compilers: */
X if (setjmp(lab) == 0) {
X if (F) f_define(Fname, "_MIN", digs, (Long_double) f_min, MARK);
X if (V || F) F_check(digs, (Long_double) f_min);
X } else {
X eek_a_bug("xxx_MIN caused a trap");
X printf("\n");
X }
X
X if (setjmp(lab) == 0) {
X if (F) Validate(digs, (Long_double) f_min, (Long_double) F_MIN,
X f_min == Self(F_MIN));
X } else {
X printf("%s*** Verify failed for above #define!\n %s %s\n\n",
X co, "Compiler has an unusable number for value", oc);
X bugs++;
X }
X Unexpected(25);
X
X a=1.0; f_min_10_exp=0;
X while (a > f_min*10.0) { a/=10.0; f_min_10_exp--; }
X if (F) i_define(Fname, "_MIN_10_EXP", (long) f_min_10_exp,
X (long) F_MIN_10_EXP);
X
X /* Minimum exponent ************************************************/
X if (setjmp(lab)==0) { /* for underflow trap */ /* Yields xminner */
X do {
X xminner=y;
X y=Div(y,base);
X a=Mul(y,1.0);
X if ((Sum(a,a) == 0.0) || (fabs(y) >= xminner)) break;
X } while (1);
X }
X Unexpected(26);
X
X if (xminner != 0.0 && xminner != f_min) {
X normal= 0;
X Vprintf("%sThe smallest numbers are not kept normalised%s\n",
X co, oc);
X if (setjmp(lab)==0) {
X Vprintf("%sSmallest unnormalised positive number = %s%s\n",
X co, f_rep(digs, (Long_double) xminner), oc);
X if (V) F_check(digs, (Long_double) xminner);
X } else {
X eek_a_bug("printf can't print the smallest unnormalised number.");
X printf("\n");
X }
X Unexpected(27);
X } else {
X normal= 1;
X Vprintf("%sThe smallest numbers are normalised%s\n", co, oc);
X }
X
X /* Maximum exponent ************************************************/
X f_max_exp=2; f_max=1.0; newxmax=base+1.0;
X inf=0; trap=0;
X while (f_max<newxmax) {
X f_max=newxmax;
X if (setjmp(lab) == 0) { /* Yields inf, f_max_exp */
X newxmax=Mul(newxmax, base);
X } else {
X trap=1;
X break;
X }
X if (Div(newxmax, base) != f_max) {
X inf=1; /* ieee infinity */
X break;
X }
X f_max_exp++;
X }
X Unexpected(28);
X if (trap) {
X Vprintf("%s%s overflow generates a trap%s\n", co, Thing, oc);
X }
X
X if (inf) Vprintf("%sThere is an 'infinite' value%s\n", co, oc);
X Vprintf("%sMaximum exponent = %d%s\n", co, f_max_exp, oc);
X if (F) i_define(Fname, "_MAX_EXP", (long) f_max_exp, (long) F_MAX_EXP);
X
X /* Largest number ***************************************************/
X f_max=Diff(1.0, epsneg);
X if (Mul(f_max,1.0) != f_max) f_max=Diff(1.0, Mul(base,epsneg));
X for (i=1; i<=f_max_exp; i++) f_max=Mul(f_max, base);
X
X if (setjmp(lab)==0) {
X Vprintf("%sMaximum number = %s%s\n",
X co, f_rep(digs, (Long_double) f_max), oc);
X } else {
X eek_a_bug("printf can't print the largest double.");
X printf("\n");
X }
X if (setjmp(lab)==0) {
X /* Possible loss of precision warnings here from non-stdc compilers: */
X if (F) f_define(Fname, "_MAX", digs, (Long_double) f_max, MARK);
X if (V || F) F_check(digs, (Long_double) f_max);
X } else {
X eek_a_bug("xxx_MAX caused a trap");
X printf("\n");
X }
X if (setjmp(lab)==0) {
X if (F) Validate(digs, (Long_double) f_max, (Long_double) F_MAX,
X f_max == Self(F_MAX));
X } else {
X printf("%s*** Verify failed for above #define!\n %s %s\n\n",
X co, "Compiler has an unusable number for value", oc);
X bugs++;
X }
X Unexpected(29);
X
X a=1.0; f_max_10_exp=0;
X while (a < f_max/10.0) { a*=10.0; f_max_10_exp++; }
X if (F) i_define(Fname, "_MAX_10_EXP", (long) f_max_10_exp,
X (long) F_MAX_10_EXP);
X
X /* Hidden bit + sanity check ****************************************/
X if (f_radix != 10) {
X hidden=0;
X mantbits=floor_log(2, (Long_double)f_radix)*f_mant_dig;
X if (mantbits+iexp == (int)sizeof(Number)*bits_per_byte) {
X hidden=1;
X Vprintf("%sArithmetic uses a hidden bit%s\n", co, oc);
X } else if (mantbits+iexp+1 == (int)sizeof(Number)*bits_per_byte) {
X Vprintf("%sArithmetic doesn't use a hidden bit%s\n",
X co, oc);
X } else {
X printf("\n%s%s\n %s %s %s!%s\n\n",
X co,
X "*** Something fishy here!",
X "Exponent size + mantissa size doesn't match",
X "with the size of a", thing,
X oc);
X }
X if (hidden && f_radix == 2 && f_max_exp+f_min_exp==3) {
X Vprintf("%sIt looks like %s length IEEE format%s\n",
X co, f_mant_dig==24 ? "single" :
X f_mant_dig==53 ? "double" :
X f_mant_dig >53 ? "extended" :
X "some", oc);
X if (f_rounds != 1 || normal) {
X Vprintf("%s though ", co);
X if (f_rounds != 1) {
X Vprintf("the rounding is unusual");
X if (normal) Vprintf(" and ");
X }
X if (normal) Vprintf("the normalisation is unusual");
X Vprintf("%s\n", oc);
X }
X } else {
X Vprintf("%sIt doesn't look like IEEE format%s\n",
X co, oc);
X }
X }
X printf("\n"); /* regardless of verbosity */
X return f_mant_dig;
X}
X
XProcedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {
X /* See if expressions are evaluated in extended precision.
X Some compilers optimise even if you don't want it,
X and then this function fails to produce the right result.
X We try to diagnose this if it happens.
X */
X volatile int eprec;
X volatile double a, b, base, old;
X volatile Number d, oldd, dbase, one, zero;
X volatile int bad=0;
X
X /* Size of mantissa **************************************/
X a=1.0;
X if (setjmp(lab) == 0) { /* Yields nothing */
X do { old=a; a=a+a; }
X while ((((a+1.0)-a)-1.0) == 0.0 && a>old);
X } else bad=1;
X if (a <= old) bad=1;
X
X if (!bad) {
X b=1.0;
X if (setjmp(lab) == 0) { /* Yields nothing */
X do { old=b; b=b+b; }
X while ((base=((a+b)-a)) == 0.0 && b>old);
X if (b <= old) bad=1;
X } else bad=1;
X }
X
X if (!bad) {
X eprec=0; d=1.0; dbase=base; one=1.0; zero=0.0;
X if (setjmp(lab) == 0) { /* Yields nothing */
X do { eprec++; oldd=d; d=d*dbase; }
X while ((((d+one)-d)-one) == zero && d>oldd);
X if (d <= oldd) bad=1;
X } else bad=1;
X }
X
X Unexpected(30);
X
X if (bad) {
X Vprintf("%sCan't determine precision for %s expressions:\n%s%s\n",
X co, thing, " check that you compiled without optimisation!",
X oc);
X } else if (eprec==dprec) {
X Vprintf("%s%s expressions are evaluated in double precision%s\n",
X co, Thing, oc);
X } else if (eprec==fprec) {
X Vprintf("%s%s expressions are evaluated in float precision%s\n",
X co, Thing, oc);
X } else if (eprec==lprec) {
X Vprintf("%s%s expressions are evaluated in long double precision%s\n",
X co, Thing, oc);
X } else {
X Vprintf("%s%s expressions are evaluated in a %s %s %d %s%s\n",
X co, Thing, eprec>dprec ? "higher" : "lower",
X "precision than double,\n using",
X eprec, "base digits",
X oc);
X }
X}
X
X#else /* Number */
X
X#ifdef FPROP
X/* ARGSUSED */
Xint FPROP(bits_per_byte) int bits_per_byte; {
X return 0;
X}
X#endif
X#ifdef EPROP
X/* ARGSUSED */
XProcedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {}
X#endif
X
X#endif /* ifdef Number */
X
X#ifdef PASS3
X#undef PASS
X#endif
X
X#ifdef PASS2
X#undef PASS2
X#define PASS3 1
X#endif
X
X#ifdef PASS1
X#undef PASS1
X#define PASS2 1
X#endif
X
X/* If your C compiler doesn't accept the next #include,
X replace __FILE__ with the file name - and get a new C compiler... */
X
X#ifdef PASS
X#include __FILE__
X#endif
X
EOF
chars=`wc -c < 'config.c'`
if test $chars != 49439; then echo 'config.c' is $chars characters, should be 49439 characters!; fi
fi
exit 0