2888 lines
78 KiB
C
2888 lines
78 KiB
C
/* Everything you wanted to know about your machine and C compiler,
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but didn't know who to ask. */
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#ifndef VERSION
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#define VERSION "4.3"
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#endif
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/* Author: Steven Pemberton, CWI, Amsterdam; steven@cwi.nl
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Bugfixes and upgrades gratefully received.
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Copyright (c) 1988, 1989, 1990 Steven Pemberton, CWI, Amsterdam.
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All rights reserved.
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Changes by Richard Stallman:
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Undef CHAR_BIT, etc., if defined in stdio.h, Richard Stallman, Aug 90.
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In EPROP, avoid a <= old if bad is set, Richard Stallman, May 91.
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Use gstddef.h, not stddef.h, Richard Stallman, Nov 91.
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Don't declare malloc, instead cast the value, Richard Stallman, Nov 91.
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Include sys/types.h before signal.h, Apr 92.
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Support NO_LONG_DOUBLE_IO in f_define and f_rep; new fn fake_f_rep, Apr 92.
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Enclose -f output in #ifndef _FLOAT_H___, Richard Stallman, May 92.
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Change by Jim Wilson:
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Add #undef before every #define, Dec 92.
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Use stddef.h not gstddef.h, Mar 94.
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Changes by Paul Eggert, installed Feb 93:
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(fake_f_rep): Clear all of u, initially. Make the ints in u unsigned.
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(f_define): Use ordinary constants for long double
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if it's same width as double. Make __convert_long_double_i unsigned.
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Richard Stallman, May 93:
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In F_check, check NO_LONG_DOUBLE_IO.
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Changes by Stephen Moshier, installed Sep 93:
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(FPROP): Recognize 80387 or 68881 XFmode format.
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Change by Manfred Hollstein, installed Mar 98:
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(bitpattern): Change type of variable i to unsigned int.
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COMPILING
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With luck and a following wind, just the following will work:
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cc enquire.c -o enquire
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You may get some messages about unreachable code, which you can ignore.
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If your compiler doesn't support: add flag:
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signed char (eg pcc) -DNO_SC
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unsigned char -DNO_UC
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unsigned short and long -DNO_UI
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void -DNO_VOID
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signal(), or setjmp/longjmp() -DNO_SIG
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%Lf in printf -DNO_LONG_DOUBLE_IO
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Try to compile first with no flags, and see if you get any errors -
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you might be surprised. (Most non-ANSI compilers need -DNO_SC, though.)
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Some compilers need a -f flag for floating point.
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Don't use any optimisation flags: the program may not work if you do.
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Though "while (a+1.0-a-1.0 == 0.0)" may look like "while(1)" to an
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optimiser, to a floating-point unit there's a world of difference.
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Some compilers offer various flags for different floating point
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modes; it's worth trying all possible combinations of these.
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Add -DID=\"name\" if you want the machine/flags identified in the output.
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FAULTY COMPILERS
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Because of bugs and/or inadequacies, some compilers need the following
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defines:
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If your C preprocessor doesn't have the predefined __FILE__ macro, and
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you don't want to call this file enquire.c but, say, tell.c, add the
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flag -DFILENAME=\"tell.c\" .
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Some compilers won't accept the line "#include FILENAME".
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Add flag -DNO_FILE. In that case, this file *must* be called enquire.c.
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Some compilers can't cope with "#ifdef __FILE__". Use -DFILENAME=
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or -DNO_FILE as above.
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Some naughty compilers define __STDC__, but don't really support it.
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Some define it as 0, in which case we treat it as undefined.
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But if your compiler defines it, and isn't really ANSI C,
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add flag -DNO_STDC. (To those compiler writers: for shame).
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Some naughty compilers define __STDC__, but don't have the stddef.h
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include file. Add flag -DNO_STDDEF.
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Summary of naughty-compiler flags:
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If your compiler doesn't support: add flag:
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__FILE__ (and you changed the filename) -DFILENAME=\"name.c\"
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#ifdef __FILE__ -DNO_FILE or -DFILENAME=...
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#include FILENAME -DNO_FILE
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__STDC__ (properly) -DNO_STDC
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stddef.h -DNO_STDDEF
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Some systems crash when you try to malloc all store. To save users of
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such defective systems too much grief, they may compile with -DNO_MEM,
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which ignores that bit of the code.
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While it is not our policy to support defective compilers, pity has been
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taken on people with compilers that can't produce object files bigger than
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32k (especially since it was an easy addition). Compile the program
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into separate parts like this:
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cc -DSEP -DPASS0 -o p0.o <other flags> enquire.c
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cc -DSEP -DPASS1 -o p1.o <other flags> enquire.c
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cc -DSEP -DPASS2 -o p2.o <other flags> enquire.c
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cc -DSEP -DPASS3 -o p3.o <other flags> enquire.c
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cc -o enquire p0.o p1.o p2.o p3.o
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SYSTEM DEPENDENCIES
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You may possibly need to add some calls to signal() for other sorts of
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exception on your machine than SIGFPE, and SIGOVER. See lines beginning
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#ifdef SIGxxx in main() (and communicate the differences to me!).
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OUTPUT
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Run without argument to get the information as English text. If run
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with argument -l (e.g. enquire -l), output is a series of #define's for
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the ANSI standard limits.h include file, excluding MB_MAX_CHAR. If run
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with argument -f, output is a series of #define's for the ANSI standard
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float.h include file (according to ANSI C Draft of Dec 7, 1988).
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Flag -v gives verbose output: output includes the English text above
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as C comments. The program exit(0)'s if everything went ok, otherwise
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it exits with a positive number, telling how many problems there were.
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VERIFYING THE COMPILER
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If, having produced the float.h and limits.h header files, you want to
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verify that the compiler reads them back correctly (there are a lot of
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boundary cases, of course, like minimum and maximum numbers), you can
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recompile enquire.c with -DVERIFY set (plus the other flags that you used
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when compiling the version that produced the header files). This then
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recompiles the program so that it #includes "limits.h" and "float.h",
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and checks that the constants it finds there are the same as the
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constants it produces. Run the resulting program with enquire -fl.
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Very few compilers have passed without error.
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NB: You *must* recompile with the same compiler and flags, otherwise
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you may get odd results.
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You can also use this option if your compiler already has both files,
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and you want to confirm that this program produces the right results.
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TROUBLESHOOTING.
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This program is now quite trustworthy, and suspicious and wrong output
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may well be caused by bugs in the compiler, not in the program (however
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of course, this is not guaranteed, and no responsibility can be
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accepted, etc.)
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The program only works if overflows are ignored by the C system or
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are catchable with signal().
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If the program fails to run to completion (often with the error message
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"Unexpected signal at point x"), this often turns out to be a bug in the
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C compiler's run-time system. Check what was about to be printed, and
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try to narrow the problem down.
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Another possible problem is that you have compiled the program to produce
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loss-of-precision arithmetic traps. The program cannot cope with these,
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and you should re-compile without them. (They should never be the default).
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Make sure you compiled with optimisation turned off.
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Output preceded by *** WARNING: identifies behaviour of the C system
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deemed incorrect by the program. Likely problems are that printf or
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scanf don't cope properly with certain boundary numbers: this program
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goes to a lot of trouble to calculate its values, and these values
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are mostly boundary numbers. Experience has shown that often printf
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cannot cope with these values, and so in an attempt to increase
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confidence in the output, for each float and double that is printed,
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the printed value is checked by using sscanf to read it back.
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Care is taken that numbers are printed with enough digits to uniquely
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identify them, and therefore that they can be read back identically.
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If the number read back is different, then there is probably a bug in
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printf or sscanf, and the program prints the warning message.
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If the two numbers in the warning look identical, then printf is more
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than likely rounding the last digit(s) incorrectly. To put you at ease
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that the two really are different, the bit patterns of the two numbers
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are also printed. The difference is very likely in the last bit.
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Many scanf's read the minimum double back as 0.0, and similarly cause
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overflow when reading the maximum double. This program quite ruthlessly
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declares all these behaviours faulty. The point is that if you get
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one of these warnings, the output may be wrong, so you should check
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the result carefully if you intend to use the results. Of course, printf
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and sscanf may both be wrong, and cancel each other out, so you should
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check the output carefully anyway.
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The warning that "a cast didn't work" refers to cases like this:
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float f;
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#define C 1.234567890123456789
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f= C;
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if (f != (float) C) printf ("Wrong!");
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A faulty compiler will widen f to double and ignore the cast to float,
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and because there is more accuracy in a double than a float, fail to
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recognise that they are the same. In the actual case in point, f and C
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are passed as parameters to a function that discovers they are not equal,
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so it's just possible that the error was in the parameter passing,
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not in the cast (see function Validate()).
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For ANSI C, which has float constants, the error message is "constant has
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wrong precision".
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REPORTING PROBLEMS
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If the program doesn't work for you for any reason that can't be
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narrowed down to a problem in the C compiler, or it has to be changed in
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order to get it to compile, or it produces suspicious output (like a very
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low maximum float, for instance), please mail the problem and an example
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of the incorrect output to steven@cwi.nl or ..!hp4nl!cwi.nl!steven, so that
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improvements can be worked into future versions; cwi.nl is the European
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backbone, and is connected to uunet and other fine hosts.
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The program tries to catch and diagnose bugs in the compiler/run-time
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system. I would be especially pleased to have reports of failures so
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that I can improve this service.
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I apologise unreservedly for the contorted use of the preprocessor...
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THE SMALL PRINT
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You may copy and distribute verbatim copies of this source file.
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You may modify this source file, and copy and distribute such
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modified versions, provided that you leave the copyright notice
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at the top of the file and also cause the modified file to carry
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prominent notices stating that you changed the files and the date
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of any change; and cause the whole of any work that you distribute
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or publish, that in whole or in part contains or is a derivative of
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this program or any part thereof, to be licensed at no charge to
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all third parties on terms identical to those here.
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If you do have a fix to any problem, please send it to me, so that
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other people can have the benefits.
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While every effort has been taken to make this program as reliable as
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possible, no responsibility can be taken for the correctness of the
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output, nor suitability for any particular use.
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This program is an offshoot of a project funded by public funds.
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If you use this program for research or commercial use (i.e. more
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than just for the fun of knowing about your compiler) mailing a short
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note of acknowledgement may help keep enquire.c supported.
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ACKNOWLEDGEMENTS
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Many people have given time and ideas to making this program what it is.
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To all of them thanks, and apologies for not mentioning them by name.
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HISTORY
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Originally started as a program to generate configuration constants
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for a large piece of software we were writing, which later took on
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a life of its own...
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1.0 Length 6658!; end 1984?
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Unix only. Only printed a dozen maximum int/double values.
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2.0 Length 10535; Spring 1985
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Prints values as #defines (about 20 of them)
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More extensive floating point, using Cody and Waite
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Handles signals better
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Programs around optimisations
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Handles Cybers
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3.0 Length 12648; Aug 1987; prints about 42 values
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Added PASS stuff, so treats float as well as double
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4.0 Length 33891; Feb 1989; prints around 85 values
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First GNU version (for gcc, where they call it hard-params.c)
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Generates float.h and limits.h files
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Handles long double
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Generates warnings for dubious output
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4.1 Length 47738; April 1989
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Added VERIFY and TEST
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4.2 Length 63442; Feb 1990
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Added SEP
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Fixed eps/epsneg
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Added check for pseudo-unsigned chars
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Added description for each #define output
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Added check for absence of defines during verify
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Added prototypes
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Added NO_STDC and NO_FILE
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Fixed alignments output
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4.3 Length 75000; Oct 1990; around 114 lines of output
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Function xmalloc defined, Richard Stallman, June 89.
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Alignments computed from member offsets rather than structure sizes,
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Richard Stallman, Oct 89.
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Print whether char* and int* pointers have the same format;
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also char * and function *.
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Update to Draft C version Dec 7, 1988
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- types of constants produced in limits.h
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(whether to put a U after unsigned shorts and chars and
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whether to output -1024 as (-1023-1))
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- values of SCHAR_MIN/MAX
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- values of *_EPSILON (not the smallest but the effective smallest)
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Added FILENAME, since standard C doesn't allow #define __FILE__
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Renamed from config.c to enquire.c
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Added size_t and ptrdiff_t enquiries
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Added promotion enquiries
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Added type checks of #defines
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Added NO_STDDEF
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Changed endian to allow for cases where not all bits are used
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Sanity check for max integrals
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Fixed definition of setjmp for -DNO_SIG
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Moved #define ... 0.0L inside #ifdef STDC, in case some cpp's tokenize
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Added NO_MEM
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*/
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/* Set FILENAME to the name of this file */
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#ifndef FILENAME
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#ifdef NO_FILE
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#define FILENAME "enquire.c"
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#else
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#ifdef __FILE__ /* It's a compiler bug if this fails. Compile with -DNO_FILE */
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#define FILENAME __FILE__
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#else
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#define FILENAME "enquire.c"
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#endif /* __FILE__ */
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#endif /* NO_FILE */
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#endif /* FILENAME */
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/* If PASS isn't defined, then this is the first pass over this file. */
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#ifndef PASS
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#ifndef SEP
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#define PASS 1
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#define PASS0 1
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#define PASS1 1
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#endif /* SEP */
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/* A description of the ANSI constants */
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#define D_CHAR_BIT "Number of bits in a storage unit"
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#define D_CHAR_MAX "Maximum char"
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#define D_CHAR_MIN "Minimum char"
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#define D_SCHAR_MAX "Maximum signed char"
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#define D_SCHAR_MIN "Minimum signed char"
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#define D_UCHAR_MAX "Maximum unsigned char (minimum is always 0)"
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#define D_INT_MAX "Maximum %s"
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#define D_INT_MIN "Minimum %s"
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#define D_UINT_MAX "Maximum unsigned %s (minimum is always 0)"
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#define D_FLT_ROUNDS "Addition rounds to 0: zero, 1: nearest, 2: +inf, 3: -inf, -1: unknown"
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#define D_FLT_RADIX "Radix of exponent representation"
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#define D_MANT_DIG "Number of base-FLT_RADIX digits in the significand of a %s"
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#define D_DIG "Number of decimal digits of precision in a %s"
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#define D_MIN_EXP "Minimum int x such that FLT_RADIX**(x-1) is a normalised %s"
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#define D_MIN_10_EXP "Minimum int x such that 10**x is a normalised %s"
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#define D_MAX_EXP "Maximum int x such that FLT_RADIX**(x-1) is a representable %s"
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#define D_MAX_10_EXP "Maximum int x such that 10**x is a representable %s"
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#define D_MAX "Maximum %s"
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#define D_EPSILON "Difference between 1.0 and the minimum %s greater than 1.0"
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#define D_MIN "Minimum normalised %s"
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/* Procedure just marks the functions that don't return a result */
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#ifdef NO_VOID
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#define Procedure int
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#else
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#define Procedure void
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#endif
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/* Some bad compilers define __STDC__, when they don't support it.
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Compile with -DNO_STDC to get round this.
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*/
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#ifndef NO_STDC
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#ifdef __STDC__
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#if __STDC__ /* If __STDC__ is 0, assume it isn't supported */
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#define STDC
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#endif
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#endif
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#endif
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/* Stuff different for ANSI C, and old C:
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ARGS and NOARGS are used for function prototypes.
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Volatile is used to reduce the chance of optimisation,
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and to prevent variables being put in registers (when setjmp/longjmp
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wouldn't work as we want)
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Long_double is the longest floating point type available.
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stdc is used in tests like "if (stdc)", which is less ugly than #ifdef.
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U is output after unsigned constants.
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*/
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#ifdef STDC
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#define ARGS(x) x
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#define NOARGS (void)
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#define Volatile volatile
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#define Long_double long double
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#define stdc 1
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#define U "U"
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#else /* Old style C */
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#define ARGS(x) ()
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#define NOARGS ()
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#define Volatile static
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#define Long_double double
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#define stdc 0
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#define U ""
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#endif /* STDC */
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/* include files */
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/* Stdio.h might include limits.h, and limits.h might include float.h, and
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float.h is probably the float.h put together by the gcc makefile to
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cause errors. We use our special define to assure float.h that we don't
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really need it. */
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#define __GCC_FLOAT_NOT_NEEDED
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#include <stdio.h>
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#ifdef STDC
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#ifndef NO_STDDEF
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#include <stddef.h> /* for size_t: if this fails, define NO_STDDEF */
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#endif
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#endif
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#ifdef NO_SIG
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#define jmp_buf int
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#else
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#include <sys/types.h>
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#include <signal.h>
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#include <setjmp.h>
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#endif
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/* Kludge around the possibility that <stdio.h> includes <limits.h> */
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#ifdef CHAR_BIT
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#undef CHAR_BIT
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#undef CHAR_MAX
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#undef CHAR_MIN
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#undef SCHAR_MAX
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#undef SCHAR_MIN
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#undef UCHAR_MAX
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#undef UCHAR_MIN
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#endif
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#ifdef VERIFY
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#include "limits.h"
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#endif
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#ifndef SYS_FLOAT_H_WRAP
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#define SYS_FLOAT_H_WRAP 0
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#endif
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#if SYS_FLOAT_H_WRAP || defined VERIFY
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#include "float.h"
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#endif
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#define Vprintf if (V) printf
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#define Unexpected(place) if (setjmp(lab)!=0) croak(place)
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#define fabs(x) (((x)<0.0)?(-x):(x))
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#endif /* PASS */
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#ifdef PASS0
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/* Prototypes for what's to come: */
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int false NOARGS;
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#ifdef NO_STDDEF
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char *malloc (); /* Old style prototype */
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#else
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char *malloc ARGS((size_t size));
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#endif
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Procedure exit ARGS((int status));
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char *f_rep ARGS((int precision, Long_double val));
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char *fake_f_rep ARGS((char *type, Long_double val));
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int maximum_int NOARGS;
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int cprop NOARGS;
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int basic NOARGS;
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Procedure sprop NOARGS;
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Procedure iprop NOARGS;
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Procedure lprop NOARGS;
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Procedure usprop NOARGS;
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Procedure uiprop NOARGS;
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Procedure ulprop NOARGS;
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int fprop ARGS((int bits_per_byte));
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int dprop ARGS((int bits_per_byte));
|
|
int ldprop ARGS((int bits_per_byte));
|
|
Procedure efprop ARGS((int fprec, int dprec, int lprec));
|
|
Procedure edprop ARGS((int fprec, int dprec, int lprec));
|
|
Procedure eldprop ARGS((int fprec, int dprec, int lprec));
|
|
|
|
int setmode ARGS((char *s));
|
|
Procedure farewell ARGS((int bugs));
|
|
Procedure describe ARGS((char *description, char *extra));
|
|
Procedure missing ARGS((char *s));
|
|
Procedure fmissing ARGS((char *s));
|
|
Procedure check_defines NOARGS;
|
|
Procedure bitpattern ARGS((char *p, unsigned int size));
|
|
int ceil_log ARGS((int base, Long_double x));
|
|
Procedure croak ARGS((int place));
|
|
Procedure eek_a_bug ARGS((char *problem));
|
|
Procedure endian ARGS((int bits_per_byte));
|
|
int exponent ARGS((Long_double x, double *fract, int *exp));
|
|
int floor_log ARGS((int base, Long_double x));
|
|
Procedure f_define ARGS((char *desc, char *extra, char *sort, char *name,
|
|
int prec, Long_double val, Long_double req,
|
|
char *mark));
|
|
Procedure i_define ARGS((char *desc, char *extra, char *sort, char *name,
|
|
long val, long lim, long req, char *mark));
|
|
Procedure u_define ARGS((char *desc, char *extra, char *sort, char *name,
|
|
unsigned long val, unsigned long req, char *mark));
|
|
|
|
#ifdef NO_SIG /* There's no signal(), or setjmp/longjmp() */
|
|
|
|
/* Dummy routines instead */
|
|
|
|
int setjmp ARGS((int lab));
|
|
|
|
int lab=1;
|
|
int setjmp(lab) int lab; { return(0); }
|
|
Procedure signal(i, p) int i, (*p)(); {}
|
|
|
|
#else
|
|
jmp_buf lab;
|
|
Procedure overflow(sig) int sig; { /* what to do on over/underflow */
|
|
signal(sig, overflow);
|
|
longjmp(lab, 1);
|
|
}
|
|
|
|
#endif /*NO_SIG*/
|
|
|
|
int V= 0, /* verbose */
|
|
L= 0, /* produce limits.h */
|
|
F= 0, /* produce float.h */
|
|
bugs=0; /* The number of (possible) bugs in the output */
|
|
|
|
char co[4], oc[4]; /* Comment starter and ender symbols */
|
|
|
|
int bits_per_byte; /* the number of bits per unit returned by sizeof() */
|
|
int flt_rounds; /* The calculated value of FLT_ROUNDS */
|
|
int flt_radix; /* The calculated value of FLT_RADIX */
|
|
|
|
#ifdef TEST
|
|
/* Set the fp modes on a SUN with 68881 chip, to check that different
|
|
rounding modes etc. get properly detected.
|
|
Compile with -f68881 for cc, -m68881 for gcc, and with additional flag
|
|
-DTEST. Run with additional parameter +hex-number, to set the 68881 mode
|
|
register to hex-number
|
|
*/
|
|
|
|
/* Bits 0x30 = rounding mode */
|
|
#define ROUND_BITS 0x30
|
|
#define TO_NEAREST 0x00
|
|
#define TO_ZERO 0x10
|
|
#define TO_MINUS_INF 0x20
|
|
#define TO_PLUS_INF 0x30 /* The SUN FP user's guide seems to be wrong here */
|
|
|
|
/* Bits 0xc0 = extended rounding */
|
|
#define EXT_BITS 0xc0
|
|
#define ROUND_EXTENDED 0x00
|
|
#define ROUND_SINGLE 0x40
|
|
#define ROUND_DOUBLE 0x80
|
|
|
|
/* Enabled traps */
|
|
#define EXE_INEX1 0x100
|
|
#define EXE_INEX2 0x200
|
|
#define EXE_DZ 0x400
|
|
#define EXE_UNFL 0x800
|
|
#define EXE_OVFL 0x1000
|
|
#define EXE_OPERR 0x2000
|
|
#define EXE_SNAN 0x4000
|
|
#define EXE_BSUN 0x8000
|
|
|
|
/* Only used for testing, on a Sun with 68881 chip */
|
|
/* Print the FP mode */
|
|
printmode(new) unsigned new; {
|
|
fpmode_(&new);
|
|
printf("New fp mode:\n");
|
|
printf(" Round toward ");
|
|
switch (new & ROUND_BITS) {
|
|
case TO_NEAREST: printf("nearest"); break;
|
|
case TO_ZERO: printf("zero"); break;
|
|
case TO_MINUS_INF: printf("minus infinity"); break;
|
|
case TO_PLUS_INF: printf("plus infinity"); break;
|
|
default: printf("???"); break;
|
|
}
|
|
|
|
printf("\n Extended rounding precision: ");
|
|
|
|
switch (new & EXT_BITS) {
|
|
case ROUND_EXTENDED: printf("extended"); break;
|
|
case ROUND_SINGLE: printf("single"); break;
|
|
case ROUND_DOUBLE: printf("double"); break;
|
|
default: printf("???"); break;
|
|
}
|
|
|
|
printf("\n Enabled exceptions:");
|
|
if (new & (unsigned) EXE_INEX1) printf(" inex1");
|
|
if (new & (unsigned) EXE_INEX2) printf(" inex2");
|
|
if (new & (unsigned) EXE_DZ) printf(" dz");
|
|
if (new & (unsigned) EXE_UNFL) printf(" unfl");
|
|
if (new & (unsigned) EXE_OVFL) printf(" ovfl");
|
|
if (new & (unsigned) EXE_OPERR) printf(" operr");
|
|
if (new & (unsigned) EXE_SNAN) printf(" snan");
|
|
if (new & (unsigned) EXE_BSUN) printf(" bsun");
|
|
printf("\n");
|
|
}
|
|
|
|
/* Only used for testing, on a Sun with 68881 chip */
|
|
/* Set the FP mode */
|
|
int setmode(s) char *s; {
|
|
unsigned mode=0, dig;
|
|
char c;
|
|
|
|
while (*s) {
|
|
c= *s++;
|
|
if (c>='0' && c<='9') dig= c-'0';
|
|
else if (c>='a' && c<='f') dig= c-'a'+10;
|
|
else if (c>='A' && c<='F') dig= c-'A'+10;
|
|
else return 1;
|
|
mode= mode<<4 | dig;
|
|
}
|
|
printmode(mode);
|
|
return 0;
|
|
}
|
|
#else
|
|
/* ARGSUSED */
|
|
int setmode(s) char *s; {
|
|
fprintf(stderr, "Can't set mode: not compiled with TEST\n");
|
|
return(1);
|
|
}
|
|
#endif
|
|
|
|
Procedure farewell(bugs) int bugs; {
|
|
if (bugs == 0) exit(0);
|
|
printf("\n%sFor hints on dealing with the ", co);
|
|
if (bugs == 1) printf("problem");
|
|
else printf("%d problems", bugs);
|
|
printf(" above\n see the section 'TROUBLESHOOTING' in the file ");
|
|
printf("%s%s\n", FILENAME, oc);
|
|
exit(bugs);
|
|
}
|
|
|
|
/* The program has received a signal where it wasn't expecting one */
|
|
Procedure croak(place) int place; {
|
|
printf("*** Unexpected signal at point %d\n", place);
|
|
farewell(bugs+1); /* An exit isn't essential here, but avoids loops */
|
|
}
|
|
|
|
/* This is here in case alloca.c is used, which calls this. */
|
|
char *xmalloc(size) unsigned size; {
|
|
char *value = (char *)malloc(size);
|
|
if (value == 0) {
|
|
fprintf(stderr, "Virtual memory exceeded\n");
|
|
exit(bugs+1);
|
|
}
|
|
return value;
|
|
}
|
|
|
|
int maxint;
|
|
|
|
int maximum_int() {
|
|
/* Find the maximum integer */
|
|
Volatile int newi, int_max, two=2;
|
|
|
|
/* Calculate maxint ***********************************/
|
|
/* Calculate 2**n-1 until overflow - then use the previous value */
|
|
|
|
newi=1; int_max=0;
|
|
|
|
if (setjmp(lab)==0) { /* Yields int_max */
|
|
while(newi>int_max) {
|
|
int_max=newi;
|
|
newi=newi*two+1;
|
|
}
|
|
}
|
|
Unexpected(0);
|
|
return int_max;
|
|
}
|
|
|
|
int main(argc, argv) int argc; char *argv[]; {
|
|
int dprec, fprec, lprec;
|
|
int i; char *s; int bad;
|
|
|
|
#ifdef SIGFPE
|
|
signal(SIGFPE, overflow);
|
|
#endif
|
|
#ifdef SIGOVER
|
|
signal(SIGOVER, overflow);
|
|
#endif
|
|
/* Add more calls as necessary */
|
|
|
|
Unexpected(1);
|
|
|
|
bad=0;
|
|
for (i=1; i < argc; i++) {
|
|
s= argv[i];
|
|
if (*s == '-') {
|
|
s++;
|
|
while (*s) {
|
|
switch (*(s++)) {
|
|
case 'v': V=1; break;
|
|
case 'l': L=1; break;
|
|
case 'f': F=1; break;
|
|
default: bad=1; break;
|
|
}
|
|
}
|
|
} else if (*s == '+') {
|
|
s++;
|
|
bad= setmode(s);
|
|
} else bad= 1;
|
|
}
|
|
if (bad) {
|
|
fprintf(stderr,
|
|
"Usage: %s [-vlf]\n v=Verbose l=Limits.h f=Float.h\n",
|
|
argv[0]);
|
|
exit(1);
|
|
}
|
|
if (L || F) {
|
|
co[0]= '/'; oc[0]= ' ';
|
|
co[1]= '*'; oc[1]= '*';
|
|
co[2]= ' '; oc[2]= '/';
|
|
co[3]= '\0'; oc[3]= '\0';
|
|
} else {
|
|
co[0]= '\0'; oc[0]= '\0';
|
|
V=1;
|
|
}
|
|
|
|
if (L) printf("%slimits.h%s\n", co, oc);
|
|
if (F) printf("%sfloat.h%s\n", co, oc);
|
|
if (F) {
|
|
printf ("#ifndef _FLOAT_H___\n");
|
|
printf ("#define _FLOAT_H___\n");
|
|
if (SYS_FLOAT_H_WRAP)
|
|
printf ("#include_next <float.h>\n");
|
|
}
|
|
#ifdef ID
|
|
printf("%sProduced on %s by enquire version %s, CWI, Amsterdam%s\n",
|
|
co, ID, VERSION, oc);
|
|
#else
|
|
printf("%sProduced by enquire version %s, CWI, Amsterdam%s\n",
|
|
co, VERSION, oc);
|
|
#endif
|
|
|
|
#ifdef VERIFY
|
|
printf("%sVerification phase%s\n", co, oc);
|
|
#endif
|
|
|
|
#ifdef NO_SIG
|
|
Vprintf("%sCompiled without signal(): %s%s\n",
|
|
co,
|
|
"there's nothing that can be done if overflow occurs",
|
|
oc);
|
|
#endif
|
|
#ifdef NO_SC
|
|
Vprintf("%sCompiled without signed char%s\n", co, oc);
|
|
#endif
|
|
#ifdef NO_UC
|
|
Vprintf("%Compiled without unsigned char%s\n", co, oc);
|
|
#endif
|
|
#ifdef NO_UI
|
|
Vprintf("%Compiled without unsigned short or long%s\n", co, oc);
|
|
#endif
|
|
#ifdef __STDC__
|
|
Vprintf("%sCompiler claims to be ANSI C level %d%s\n",
|
|
co, __STDC__, oc);
|
|
#else
|
|
Vprintf("%sCompiler does not claim to be ANSI C%s\n", co, oc);
|
|
#endif
|
|
printf("\n");
|
|
check_defines();
|
|
|
|
maxint= maximum_int();
|
|
bits_per_byte= basic();
|
|
Vprintf("\n");
|
|
if (F||V) {
|
|
fprec= fprop(bits_per_byte);
|
|
dprec= dprop(bits_per_byte);
|
|
lprec= ldprop(bits_per_byte);
|
|
efprop(fprec, dprec, lprec);
|
|
edprop(fprec, dprec, lprec);
|
|
eldprop(fprec, dprec, lprec);
|
|
}
|
|
#ifndef NO_MEM
|
|
if (V) {
|
|
unsigned int size;
|
|
long total;
|
|
/* An extra goody: the approximate amount of data-space */
|
|
/* Allocate store until no more available */
|
|
/* Different implementations have a different argument type
|
|
to malloc. Here we assume that it's the same type as
|
|
that which sizeof() returns */
|
|
size=1<<((bits_per_byte*sizeof(int))-2);
|
|
total=0;
|
|
while (size!=0) {
|
|
while ( malloc((false()?sizeof(int):size)) !=
|
|
(char *)NULL
|
|
) {
|
|
total+=(size/2);
|
|
}
|
|
size/=2;
|
|
}
|
|
|
|
Vprintf("%sMemory allocable ~= %ld Kbytes%s\n",
|
|
co, (total+511)/512, oc);
|
|
}
|
|
#endif
|
|
if (F) {
|
|
printf ("#endif %s _FLOAT_H___%s\n", co, oc);
|
|
}
|
|
farewell(bugs);
|
|
return bugs; /* To keep compilers and lint happy */
|
|
}
|
|
|
|
Procedure eek_a_bug(problem) char *problem; {
|
|
/* The program has discovered a problem */
|
|
printf("\n%s*** WARNING: %s%s\n", co, problem, oc);
|
|
bugs++;
|
|
}
|
|
|
|
Procedure describe(description, extra) char *description, *extra; {
|
|
/* Produce the description for a #define */
|
|
printf(" %s", co);
|
|
printf(description, extra);
|
|
printf("%s\n", oc);
|
|
}
|
|
|
|
Procedure i_define(desc, extra, sort, name, val, lim, req, mark)
|
|
char *desc, *extra, *sort, *name; long val, lim, req; char *mark; {
|
|
if (SYS_FLOAT_H_WRAP && F && val == req)
|
|
return;
|
|
/* Produce a #define for a signed int type */
|
|
describe(desc, extra);
|
|
printf("#undef %s%s\n", sort, name);
|
|
if (val >= 0) {
|
|
printf("#define %s%s %ld%s\n", sort, name, val, mark);
|
|
} else if (val + lim < 0) {
|
|
/* We may not produce a constant like -1024 if the max
|
|
allowable value is 1023. It has then to be output as
|
|
-1023-1. lim is the max allowable value. */
|
|
printf("#define %s%s (%ld%s%ld%s)\n",
|
|
sort, name, -lim, mark, val+lim, mark);
|
|
} else {
|
|
printf("#define %s%s (%ld%s)\n", sort, name, val, mark);
|
|
}
|
|
#ifdef VERIFY
|
|
if (val != req) {
|
|
printf("%s*** Verify failed for above #define!\n", co);
|
|
printf(" Compiler has %ld for value%s\n\n", req, oc);
|
|
bugs++;
|
|
}
|
|
#endif
|
|
Vprintf("\n");
|
|
}
|
|
|
|
Procedure u_define(desc, extra, sort, name, val, req, mark)
|
|
char *desc, *extra, *sort, *name; unsigned long val, req; char *mark; {
|
|
/* Produce a #define for an unsigned value */
|
|
describe(desc, extra);
|
|
printf("#undef %s%s\n", sort, name);
|
|
printf("#define %s%s %lu%s%s\n", sort, name, val, U, mark);
|
|
#ifdef VERIFY
|
|
if (val != req) {
|
|
printf("%s*** Verify failed for above #define!\n", co);
|
|
printf(" Compiler has %lu for value%s\n\n", req, oc);
|
|
bugs++;
|
|
}
|
|
#endif
|
|
Vprintf("\n");
|
|
}
|
|
|
|
Procedure f_define(desc, extra, sort, name, precision, val, req, mark)
|
|
char *desc, *extra, *sort, *name; int precision;
|
|
Long_double val, req; char *mark; {
|
|
if (SYS_FLOAT_H_WRAP && F && val == req)
|
|
return;
|
|
/* Produce a #define for a float/double/long double */
|
|
describe(desc, extra);
|
|
printf ("#undef %s%s\n", sort, name);
|
|
if (stdc) {
|
|
#ifdef NO_LONG_DOUBLE_IO
|
|
static int union_defined = 0;
|
|
if (sizeof(double) != sizeof(Long_double)
|
|
&& !strcmp(sort, "LDBL")) {
|
|
if (!union_defined) {
|
|
printf("#ifndef __LDBL_UNION__\n");
|
|
printf("#define __LDBL_UNION__\n");
|
|
printf("union __convert_long_double {\n");
|
|
printf(" unsigned __convert_long_double_i[4];\n");
|
|
printf(" long double __convert_long_double_d;\n");
|
|
printf("};\n");
|
|
printf("#endif\n");
|
|
union_defined = 1;
|
|
}
|
|
printf("#define %s%s %s\n",
|
|
sort, name, fake_f_rep("long double", val));
|
|
} else {
|
|
printf("#define %s%s %s%s\n",
|
|
sort, name, f_rep(precision, val), mark);
|
|
}
|
|
#else
|
|
printf("#define %s%s %s%s\n",
|
|
sort, name, f_rep(precision, val), mark);
|
|
#endif
|
|
} else if (*mark == 'F') {
|
|
/* non-ANSI C has no float constants, so cast the constant */
|
|
printf("#define %s%s ((float)%s)\n",
|
|
sort, name, f_rep(precision, val));
|
|
} else {
|
|
printf("#define %s%s %s\n", sort, name, f_rep(precision, val));
|
|
}
|
|
Vprintf("\n");
|
|
}
|
|
|
|
int floor_log(base, x) int base; Long_double x; {
|
|
/* return floor(log base(x)) */
|
|
int r=0;
|
|
while (x>=base) { r++; x/=base; }
|
|
return r;
|
|
}
|
|
|
|
int ceil_log(base, x) int base; Long_double x; {
|
|
int r=0;
|
|
while (x>1.0) { r++; x/=base; }
|
|
return r;
|
|
}
|
|
|
|
int exponent(x, fract, exp) Long_double x; double *fract; int *exp; {
|
|
/* Split x into a fraction and a power of ten;
|
|
returns 0 if x is unusable, 1 otherwise.
|
|
Only used for error messages about faulty output.
|
|
*/
|
|
int r=0, neg=0;
|
|
Long_double old;
|
|
*fract=0.0; *exp=0;
|
|
if (x<0.0) {
|
|
x= -x;
|
|
neg= 1;
|
|
}
|
|
if (x==0.0) return 1;
|
|
if (x>=10.0) {
|
|
while (x>=10.0) {
|
|
old=x; r++; x/=10.0;
|
|
if (old==x) return 0;
|
|
}
|
|
} else {
|
|
while (x<1.0) {
|
|
old=x; r--; x*=10.0;
|
|
if (old==x) return 0;
|
|
}
|
|
}
|
|
if (neg) *fract= (double) -x;
|
|
else *fract=(double) x;
|
|
*exp=r;
|
|
return 1;
|
|
}
|
|
|
|
/* Print a value of type TYPE with value VAL,
|
|
assuming that sprintf can't handle this type properly (without truncation).
|
|
We create an expression that uses type casting to create the value from
|
|
a bit pattern. */
|
|
|
|
char *fake_f_rep(type, val) char *type; Long_double val; {
|
|
static char buf[1024];
|
|
union { unsigned int i[4]; Long_double ld;} u;
|
|
u.i[0] = u.i[1] = u.i[2] = u.i[3] = 0;
|
|
u.ld = val;
|
|
sprintf(buf, "(__extension__ ((union __convert_long_double) {__convert_long_double_i: {0x%x, 0x%x, 0x%x, 0x%x}}).__convert_long_double_d)",
|
|
u.i[0], u.i[1], u.i[2], u.i[3]);
|
|
return buf;
|
|
}
|
|
|
|
char *f_rep(precision, val) int precision; Long_double val; {
|
|
/* Return the floating representation of val */
|
|
static char buf[1024];
|
|
#ifdef NO_LONG_DOUBLE_IO
|
|
if (1)
|
|
#else
|
|
if (sizeof(double) == sizeof(Long_double))
|
|
#endif
|
|
{
|
|
double d = val;
|
|
/* Assume they're the same, and use non-stdc format */
|
|
/* This is for stdc compilers using non-stdc libraries */
|
|
sprintf(buf, "%.*e", precision, d);
|
|
} else {
|
|
/* It had better support Le then */
|
|
sprintf(buf, "%.*Le", precision, val);
|
|
}
|
|
return buf;
|
|
}
|
|
|
|
Procedure bitpattern(p, size) char *p; unsigned int size; {
|
|
/* Printf the bit-pattern of p */
|
|
char c;
|
|
unsigned int i;
|
|
int j;
|
|
|
|
for (i=1; i<=size; i++) {
|
|
c= *p;
|
|
p++;
|
|
for (j=bits_per_byte-1; j>=0; j--)
|
|
printf("%c", (c>>j)&1 ? '1' : '0');
|
|
if (i!=size) printf(" ");
|
|
}
|
|
}
|
|
|
|
#define Order(x, px, mode)\
|
|
printf("%s%s ", co, mode); for (i=0; i<sizeof(x); i++) px[i]= ab[i]; \
|
|
for (i=1; i<=sizeof(x); i++) { c=((x>>(bits_per_byte*(sizeof(x)-i)))&mask);\
|
|
putchar(c==0 ? '?' : (char)c); }\
|
|
printf("%s\n", oc);
|
|
|
|
Procedure endian(bits_per_byte) int bits_per_byte; {
|
|
/* Printf the byte-order used on this machine */
|
|
/*unsigned*/ short s=0;
|
|
/*unsigned*/ int j=0;
|
|
/*unsigned*/ long l=0;
|
|
|
|
char *ps= (char *) &s,
|
|
*pj= (char *) &j,
|
|
*pl= (char *) &l,
|
|
*ab= "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
|
|
unsigned int mask, i, c;
|
|
|
|
mask=0;
|
|
for (i=1; i<=(unsigned)bits_per_byte; i++) mask= (mask<<1)|1;
|
|
|
|
if (V) {
|
|
printf("%sCHARACTER ORDER%s\n", co, oc);
|
|
Order(s, ps, "short:");
|
|
Order(j, pj, "int: ");
|
|
Order(l, pl, "long: ");
|
|
}
|
|
}
|
|
|
|
Procedure missing(s) char *s; {
|
|
printf("%s*** #define %s missing from limits.h%s\n", co, s, oc);
|
|
bugs++;
|
|
}
|
|
|
|
Procedure fmissing(s) char *s; {
|
|
printf("%s*** #define %s missing from float.h%s\n", co, s, oc);
|
|
bugs++;
|
|
}
|
|
|
|
/* To try and fool optimisers */
|
|
int false() { return 0; }
|
|
|
|
#define Promoted(x) (false()?(x):(-1))
|
|
#define is_signed(x) (Promoted(x) < 0)
|
|
#define sign_of(x) ((x)?"signed":"unsigned")
|
|
#define Signed 1
|
|
#define Unsigned 0
|
|
#define sgn(x) ((is_signed(x))?Signed:Unsigned)
|
|
|
|
#define showtype(t, x) Vprintf("%s%s %s %s%s\n", co, t, sign_of(is_signed(x)), type_of(sizeof(x)), oc)
|
|
|
|
char *type_of(x) int x; {
|
|
if (x == sizeof(char)) {
|
|
if (sizeof(char) == sizeof(int)) return "char/short/int";
|
|
if (sizeof(char) == sizeof(short)) return "char/short";
|
|
return "char";
|
|
}
|
|
if (x == sizeof(short)) {
|
|
if (sizeof(short) == sizeof(int)) return "short/int";
|
|
return "short";
|
|
}
|
|
if (x == sizeof(int)) {
|
|
if (sizeof(int) == sizeof(long)) return "int/long";
|
|
return "int";
|
|
}
|
|
if (x == sizeof(long)) return "long";
|
|
return "unknown-type";
|
|
}
|
|
|
|
char *ftype_of(x) int x; {
|
|
if (x == sizeof(float)) {
|
|
return "float";
|
|
}
|
|
if (x == sizeof(double)) {
|
|
if (sizeof(double) == sizeof(Long_double))
|
|
return "(long)double";
|
|
return "double";
|
|
}
|
|
if (x == sizeof(Long_double)) {
|
|
return "long double";
|
|
}
|
|
return "unknown-type";
|
|
}
|
|
|
|
Procedure typerr(name, esign, esize, sign, size)
|
|
char *name; int esign, esize, sign, size;
|
|
{
|
|
Vprintf("*** %s has wrong type: expected %s %s, found %s %s\n",
|
|
name, sign_of(esign), type_of(esize),
|
|
sign_of(sign), type_of(size));
|
|
}
|
|
|
|
Procedure ftyperr(name, esize, size) char *name; int esize, size; {
|
|
Vprintf("*** %s has wrong type: expected %s, found %s\n",
|
|
name, ftype_of(esize), ftype_of(size));
|
|
}
|
|
|
|
int promotions() {
|
|
int si = 0; long sl = 0;
|
|
unsigned int ui; unsigned long ul;
|
|
short ss; unsigned short us;
|
|
|
|
Vprintf("\n%sPROMOTIONS%s\n", co, oc);
|
|
|
|
if (
|
|
/* Possible warnings here; no problem */
|
|
(sizeof(Promoted(si)) != sizeof(int)) ||
|
|
(sizeof(Promoted(sl)) != sizeof(long)) ||
|
|
(sizeof(Promoted(ss)) != sizeof(int)) ||
|
|
(sizeof(Promoted(ui)) != sizeof(int)) ||
|
|
(sizeof(Promoted(ul)) != sizeof(long)) ||
|
|
(sizeof(Promoted(us)) != sizeof(int)) ||
|
|
is_signed(ui) || is_signed(ul) ||
|
|
!is_signed(si) || !is_signed(sl)
|
|
)
|
|
{
|
|
eek_a_bug("promotions don't work properly in conditional expressions\n");
|
|
}
|
|
|
|
showtype("unsigned short promotes to", Promoted((unsigned short) 0));
|
|
showtype("long+unsigned gives", sl+ui);
|
|
return 0;
|
|
}
|
|
|
|
#define checktype(x, n, s, t) if((sgn(x)!=s)||(sizeof(x)!=sizeof(t))) typerr(n, s, sizeof(t), sign_of(x), sizeof(x));
|
|
|
|
#define fchecktype(x, n, t) if (sizeof(x) != sizeof(t)) ftyperr(n, sizeof(x), sizeof(t));
|
|
|
|
Procedure check_defines() {
|
|
/* ensure that all #defines are present and have the correct type */
|
|
#ifdef VERIFY
|
|
int usign;
|
|
|
|
#ifdef NO_UI
|
|
usign= Signed;
|
|
#else
|
|
/* Implementations promote unsigned short differently */
|
|
usign= is_signed((unsigned short) 0);
|
|
#endif
|
|
|
|
if (L) {
|
|
#ifdef CHAR_BIT
|
|
checktype(CHAR_BIT, "CHAR_BIT", Signed, int);
|
|
#else
|
|
missing("CHAR_BIT");
|
|
#endif
|
|
#ifdef CHAR_MAX
|
|
checktype(CHAR_MAX, "CHAR_MAX", Signed, int);
|
|
#else
|
|
missing("CHAR_MAX");
|
|
#endif
|
|
#ifdef CHAR_MIN
|
|
checktype(CHAR_MIN, "CHAR_MIN", Signed, int);
|
|
#else
|
|
missing("CHAR_MIN");
|
|
#endif
|
|
#ifdef SCHAR_MAX
|
|
checktype(SCHAR_MAX, "SCHAR_MAX", Signed, int);
|
|
#else
|
|
missing("SCHAR_MAX");
|
|
#endif
|
|
#ifdef SCHAR_MIN
|
|
checktype(SCHAR_MIN, "SCHAR_MIN", Signed, int);
|
|
#else
|
|
missing("SCHAR_MIN");
|
|
#endif
|
|
#ifdef UCHAR_MAX
|
|
checktype(UCHAR_MAX, "UCHAR_MAX", Signed, int);
|
|
#else
|
|
missing("UCHAR_MAX");
|
|
#endif
|
|
#ifdef SHRT_MAX
|
|
checktype(SHRT_MAX, "SHRT_MAX", Signed, int);
|
|
#else
|
|
missing("SHRT_MAX");
|
|
#endif
|
|
#ifdef SHRT_MIN
|
|
checktype(SHRT_MIN, "SHRT_MIN", Signed, int);
|
|
#else
|
|
missing("SHRT_MIN");
|
|
#endif
|
|
#ifdef INT_MAX
|
|
checktype(INT_MAX, "INT_MAX", Signed, int);
|
|
#else
|
|
missing("INT_MAX");
|
|
#endif
|
|
#ifdef INT_MIN
|
|
checktype(INT_MIN, "INT_MIN", Signed, int);
|
|
#else
|
|
missing("INT_MIN");
|
|
#endif
|
|
#ifdef LONG_MAX
|
|
checktype(LONG_MAX, "LONG_MAX", Signed, long);
|
|
#else
|
|
missing("LONG_MAX");
|
|
#endif
|
|
#ifdef LONG_MIN
|
|
checktype(LONG_MIN, "LONG_MIN", Signed, long);
|
|
#else
|
|
missing("LONG_MIN");
|
|
#endif
|
|
#ifdef USHRT_MAX
|
|
checktype(USHRT_MAX, "USHRT_MAX", usign, int);
|
|
#else
|
|
missing("USHRT_MAX");
|
|
#endif
|
|
#ifdef UINT_MAX
|
|
checktype(UINT_MAX, "UINT_MAX", Unsigned, int);
|
|
#else
|
|
missing("UINT_MAX");
|
|
#endif
|
|
#ifdef ULONG_MAX
|
|
checktype(ULONG_MAX, "ULONG_MAX", Unsigned, long);
|
|
#else
|
|
missing("ULONG_MAX");
|
|
#endif
|
|
} /* if (L) */
|
|
|
|
if (F) {
|
|
#ifdef FLT_RADIX
|
|
checktype(FLT_RADIX, "FLT_RADIX", Signed, int);
|
|
#else
|
|
fmissing("FLT_RADIX");
|
|
#endif
|
|
#ifdef FLT_MANT_DIG
|
|
checktype(FLT_MANT_DIG, "FLT_MANT_DIG", Signed, int);
|
|
#else
|
|
fmissing("FLT_MANT_DIG");
|
|
#endif
|
|
#ifdef FLT_DIG
|
|
checktype(FLT_DIG, "FLT_DIG", Signed, int);
|
|
#else
|
|
fmissing("FLT_DIG");
|
|
#endif
|
|
#ifdef FLT_ROUNDS
|
|
checktype(FLT_ROUNDS, "FLT_ROUNDS", Signed, int);
|
|
#else
|
|
fmissing("FLT_ROUNDS");
|
|
#endif
|
|
#ifdef FLT_EPSILON
|
|
fchecktype(FLT_EPSILON, "FLT_EPSILON", float);
|
|
#else
|
|
fmissing("FLT_EPSILON");
|
|
#endif
|
|
#ifdef FLT_MIN_EXP
|
|
checktype(FLT_MIN_EXP, "FLT_MIN_EXP", Signed, int);
|
|
#else
|
|
fmissing("FLT_MIN_EXP");
|
|
#endif
|
|
#ifdef FLT_MIN
|
|
fchecktype(FLT_MIN, "FLT_MIN", float);
|
|
#else
|
|
fmissing("FLT_MIN");
|
|
#endif
|
|
#ifdef FLT_MIN_10_EXP
|
|
checktype(FLT_MIN_10_EXP, "FLT_MIN_10_EXP", Signed, int);
|
|
#else
|
|
fmissing("FLT_MIN_10_EXP");
|
|
#endif
|
|
#ifdef FLT_MAX_EXP
|
|
checktype(FLT_MAX_EXP, "FLT_MAX_EXP", Signed, int);
|
|
#else
|
|
fmissing("FLT_MAX_EXP");
|
|
#endif
|
|
#ifdef FLT_MAX
|
|
fchecktype(FLT_MAX, "FLT_MAX", float);
|
|
#else
|
|
fmissing("FLT_MAX");
|
|
#endif
|
|
#ifdef FLT_MAX_10_EXP
|
|
checktype(FLT_MAX_10_EXP, "FLT_MAX_10_EXP", Signed, int);
|
|
#else
|
|
fmissing("FLT_MAX_10_EXP");
|
|
#endif
|
|
#ifdef DBL_MANT_DIG
|
|
checktype(DBL_MANT_DIG, "DBL_MANT_DIG", Signed, int);
|
|
#else
|
|
fmissing("DBL_MANT_DIG");
|
|
#endif
|
|
#ifdef DBL_DIG
|
|
checktype(DBL_DIG, "DBL_DIG", Signed, int);
|
|
#else
|
|
fmissing("DBL_DIG");
|
|
#endif
|
|
#ifdef DBL_EPSILON
|
|
fchecktype(DBL_EPSILON, "DBL_EPSILON", double);
|
|
#else
|
|
fmissing("DBL_EPSILON");
|
|
#endif
|
|
#ifdef DBL_MIN_EXP
|
|
checktype(DBL_MIN_EXP, "DBL_MIN_EXP", Signed, int);
|
|
#else
|
|
fmissing("DBL_MIN_EXP");
|
|
#endif
|
|
#ifdef DBL_MIN
|
|
fchecktype(DBL_MIN, "DBL_MIN", double);
|
|
#else
|
|
fmissing("DBL_MIN");
|
|
#endif
|
|
#ifdef DBL_MIN_10_EXP
|
|
checktype(DBL_MIN_10_EXP, "DBL_MIN_10_EXP", Signed, int);
|
|
#else
|
|
fmissing("DBL_MIN_10_EXP");
|
|
#endif
|
|
#ifdef DBL_MAX_EXP
|
|
checktype(DBL_MAX_EXP, "DBL_MAX_EXP", Signed, int);
|
|
#else
|
|
fmissing("DBL_MAX_EXP");
|
|
#endif
|
|
#ifdef DBL_MAX
|
|
fchecktype(DBL_MAX, "DBL_MAX", double);
|
|
#else
|
|
fmissing("DBL_MAX");
|
|
#endif
|
|
#ifdef DBL_MAX_10_EXP
|
|
checktype(DBL_MAX_10_EXP, "DBL_MAX_10_EXP", Signed, int);
|
|
#else
|
|
fmissing("DBL_MAX_10_EXP");
|
|
#endif
|
|
#ifdef STDC
|
|
#ifdef LDBL_MANT_DIG
|
|
checktype(LDBL_MANT_DIG, "LDBL_MANT_DIG", Signed, int);
|
|
#else
|
|
fmissing("LDBL_MANT_DIG");
|
|
#endif
|
|
#ifdef LDBL_DIG
|
|
checktype(LDBL_DIG, "LDBL_DIG", Signed, int);
|
|
#else
|
|
fmissing("LDBL_DIG");
|
|
#endif
|
|
#ifdef LDBL_EPSILON
|
|
fchecktype(LDBL_EPSILON, "LDBL_EPSILON", long double);
|
|
#else
|
|
fmissing("LDBL_EPSILON");
|
|
#endif
|
|
#ifdef LDBL_MIN_EXP
|
|
checktype(LDBL_MIN_EXP, "LDBL_MIN_EXP", Signed, int);
|
|
#else
|
|
fmissing("LDBL_MIN_EXP");
|
|
#endif
|
|
#ifdef LDBL_MIN
|
|
fchecktype(LDBL_MIN, "LDBL_MIN", long double);
|
|
#else
|
|
fmissing("LDBL_MIN");
|
|
#endif
|
|
#ifdef LDBL_MIN_10_EXP
|
|
checktype(LDBL_MIN_10_EXP, "LDBL_MIN_10_EXP", Signed, int);
|
|
#else
|
|
fmissing("LDBL_MIN_10_EXP");
|
|
#endif
|
|
#ifdef LDBL_MAX_EXP
|
|
checktype(LDBL_MAX_EXP, "LDBL_MAX_EXP", Signed, int);
|
|
#else
|
|
fmissing("LDBL_MAX_EXP");
|
|
#endif
|
|
#ifdef LDBL_MAX
|
|
fchecktype(LDBL_MAX, "LDBL_MAX", long double);
|
|
#else
|
|
fmissing("LDBL_MAX");
|
|
#endif
|
|
#ifdef LDBL_MAX_10_EXP
|
|
checktype(LDBL_MAX_10_EXP, "LDBL_MAX_10_EXP", Signed, int);
|
|
#else
|
|
fmissing("LDBL_MAX_10_EXP");
|
|
#endif
|
|
#endif /* STDC */
|
|
} /* if (F) */
|
|
#endif /* VERIFY */
|
|
}
|
|
|
|
#ifdef VERIFY
|
|
#ifndef SCHAR_MAX
|
|
#define SCHAR_MAX char_max
|
|
#endif
|
|
#ifndef SCHAR_MIN
|
|
#define SCHAR_MIN char_min
|
|
#endif
|
|
#ifndef UCHAR_MAX
|
|
#define UCHAR_MAX char_max
|
|
#endif
|
|
#endif /* VERIFY */
|
|
|
|
#ifndef CHAR_BIT
|
|
#define CHAR_BIT char_bit
|
|
#endif
|
|
#ifndef CHAR_MAX
|
|
#define CHAR_MAX char_max
|
|
#endif
|
|
#ifndef CHAR_MIN
|
|
#define CHAR_MIN char_min
|
|
#endif
|
|
#ifndef SCHAR_MAX
|
|
#define SCHAR_MAX char_max
|
|
#endif
|
|
#ifndef SCHAR_MIN
|
|
#define SCHAR_MIN char_min
|
|
#endif
|
|
#ifndef UCHAR_MAX
|
|
#define UCHAR_MAX char_max
|
|
#endif
|
|
|
|
int cprop() {
|
|
/* Properties of type char */
|
|
Volatile char c, char_max, char_min;
|
|
Volatile int bits_per_byte, c_signed;
|
|
long char_bit;
|
|
|
|
Unexpected(2);
|
|
|
|
/* Calculate number of bits per character *************************/
|
|
c=1; bits_per_byte=0;
|
|
do { c=c<<1; bits_per_byte++; } while(c!=0);
|
|
c= (char)(-1);
|
|
if (((int)c)<0) c_signed=1;
|
|
else c_signed=0;
|
|
Vprintf("%schar = %d bits, %ssigned%s\n",
|
|
co, (int)sizeof(c)*bits_per_byte, (c_signed?"":"un"), oc);
|
|
char_bit=(long)(sizeof(c)*bits_per_byte);
|
|
if (L) i_define(D_CHAR_BIT, "", "CHAR", "_BIT",
|
|
char_bit, 0L, (long) CHAR_BIT, "");
|
|
|
|
c=0; char_max=0;
|
|
c++;
|
|
if (bits_per_byte <= 16) {
|
|
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--;
|
|
}
|
|
}
|
|
} else {
|
|
/* An exhaustive search here is impracticable ;-) */
|
|
c = (1 << (bits_per_byte - 1)) - 1;
|
|
char_max = c;
|
|
c++;
|
|
if (c > char_max)
|
|
char_max = ~0;
|
|
c = 0;
|
|
char_min = 0;
|
|
c--;
|
|
if (c < char_min) {
|
|
c = (1 << (bits_per_byte - 1)) - 1;
|
|
c = -c;
|
|
char_min = c;
|
|
c--;
|
|
if (c < char_min)
|
|
char_min = c;
|
|
}
|
|
}
|
|
if (c_signed && char_min == 0) {
|
|
Vprintf("%sBEWARE! Chars are pseudo-unsigned:%s\n", co, oc);
|
|
Vprintf("%s %s%s%s\n",
|
|
"They contain only nonnegative values, ",
|
|
"but sign extend when used as integers.", co, oc);
|
|
}
|
|
Unexpected(3);
|
|
|
|
if (L) {
|
|
/* Because of the integer promotions, you must use a U after
|
|
the MAX_CHARS in the following cases */
|
|
if ((sizeof(char) == sizeof(int)) && !c_signed) {
|
|
u_define(D_CHAR_MAX, "", "CHAR", "_MAX",
|
|
(long) char_max,
|
|
(long) CHAR_MAX, "");
|
|
} else {
|
|
i_define(D_CHAR_MAX, "", "CHAR", "_MAX",
|
|
(long) char_max, 0L,
|
|
(long) CHAR_MAX, "");
|
|
}
|
|
i_define(D_CHAR_MIN, "", "CHAR", "_MIN",
|
|
(long) char_min, (long) maxint,
|
|
(long) CHAR_MIN, "");
|
|
if (c_signed) {
|
|
i_define(D_SCHAR_MAX, "", "SCHAR", "_MAX",
|
|
(long) char_max, 0L,
|
|
(long) SCHAR_MAX, "");
|
|
i_define(D_SCHAR_MIN, "", "SCHAR", "_MIN",
|
|
(long) char_min, (long) maxint,
|
|
(long) SCHAR_MIN, "");
|
|
} else {
|
|
if (sizeof(char) == sizeof(int)) {
|
|
u_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
|
|
(long) char_max,
|
|
(long) UCHAR_MAX, "");
|
|
} else {
|
|
i_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
|
|
(long) char_max, 0L,
|
|
(long) UCHAR_MAX, "");
|
|
}
|
|
}
|
|
|
|
if (c_signed) {
|
|
#ifndef NO_UC
|
|
Volatile unsigned char c, char_max;
|
|
c=0; char_max=0;
|
|
c++;
|
|
if (setjmp(lab)==0) { /* Yields char_max */
|
|
while (c>char_max) {
|
|
char_max=c;
|
|
c++;
|
|
}
|
|
}
|
|
Unexpected(4);
|
|
if (sizeof(char) == sizeof(int)) {
|
|
u_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
|
|
(long) char_max,
|
|
(long) UCHAR_MAX, "");
|
|
} else {
|
|
i_define(D_UCHAR_MAX, "", "UCHAR", "_MAX",
|
|
(long) char_max, 0L,
|
|
(long) UCHAR_MAX, "");
|
|
}
|
|
#endif
|
|
} else {
|
|
#ifndef NO_SC
|
|
/* Define NO_SC if this gives a syntax error */ Volatile signed char c, char_max, char_min;
|
|
c=0; char_max=0;
|
|
c++;
|
|
if (setjmp(lab)==0) { /* Yields char_max */
|
|
while (c>char_max) {
|
|
char_max=c;
|
|
c++;
|
|
}
|
|
}
|
|
c=0; char_min=0;
|
|
c--;
|
|
if (setjmp(lab)==0) { /* Yields char_min */
|
|
while (c<char_min) {
|
|
char_min=c;
|
|
c--;
|
|
}
|
|
}
|
|
Unexpected(5);
|
|
i_define(D_SCHAR_MIN, "", "SCHAR", "_MIN",
|
|
(long) char_min, (long) maxint,
|
|
(long) SCHAR_MIN, "");
|
|
i_define(D_SCHAR_MAX, "", "SCHAR", "_MAX",
|
|
(long) char_max, 0L,
|
|
(long) SCHAR_MAX, "");
|
|
#endif /* NO_SC */
|
|
}
|
|
}
|
|
return bits_per_byte;
|
|
}
|
|
|
|
int basic() {
|
|
/* The properties of the basic types.
|
|
Returns number of bits per sizeof unit */
|
|
Volatile int bits_per_byte;
|
|
typedef int function ();
|
|
int variable;
|
|
int *p, *q;
|
|
|
|
Vprintf("%sSIZES%s\n", co, oc);
|
|
bits_per_byte= cprop();
|
|
|
|
/* Shorts, ints and longs *****************************************/
|
|
Vprintf("%sshort=%d int=%d long=%d float=%d double=%d bits %s\n",
|
|
co,
|
|
(int) sizeof(short)*bits_per_byte,
|
|
(int) sizeof(int)*bits_per_byte,
|
|
(int) sizeof(long)*bits_per_byte,
|
|
(int) sizeof(float)*bits_per_byte,
|
|
(int) sizeof(double)*bits_per_byte, oc);
|
|
if (stdc) {
|
|
Vprintf("%slong double=%d bits%s\n",
|
|
co, (int) sizeof(Long_double)*bits_per_byte, oc);
|
|
}
|
|
Vprintf("%schar*=%d bits%s%s\n",
|
|
co, (int)sizeof(char *)*bits_per_byte,
|
|
sizeof(char *)>sizeof(int)?" BEWARE! larger than int!":"",
|
|
oc);
|
|
Vprintf("%sint* =%d bits%s%s\n",
|
|
co, (int)sizeof(int *)*bits_per_byte,
|
|
sizeof(int *)>sizeof(int)?" BEWARE! larger than int!":"",
|
|
oc);
|
|
Vprintf("%sfunc*=%d bits%s%s\n",
|
|
co, (int)sizeof(function *)*bits_per_byte,
|
|
sizeof(function *)>sizeof(int)?" BEWARE! larger than int!":"",
|
|
oc);
|
|
if (V) printf ("%s%s %s %s%s\n", co, "Type size_t is",
|
|
((((false()?( sizeof(int)):(-1)) < 0) )?
|
|
"signed":"unsigned") ,
|
|
type_of(sizeof(
|
|
sizeof(int)+0
|
|
)
|
|
),
|
|
oc);
|
|
showtype("Type size_t is", sizeof(0));
|
|
|
|
/* Alignment constants ********************************************/
|
|
|
|
#define alignment(TYPE) \
|
|
((long)((char *)&((struct{char c; TYPE d;}*)0)->d - (char *) 0))
|
|
|
|
Vprintf("\n%sALIGNMENTS%s\n", co, oc);
|
|
|
|
Vprintf("%schar=%ld short=%ld int=%ld long=%ld%s\n",
|
|
co,
|
|
alignment(char), alignment(short),
|
|
alignment(int), alignment(long),
|
|
oc);
|
|
|
|
Vprintf("%sfloat=%ld double=%ld%s\n",
|
|
co,
|
|
alignment(float), alignment(double),
|
|
oc);
|
|
|
|
if (stdc) {
|
|
Vprintf("%slong double=%ld%s\n",
|
|
co,
|
|
alignment(Long_double),
|
|
oc);
|
|
}
|
|
Vprintf("%schar*=%ld int*=%ld func*=%ld%s\n",
|
|
co,
|
|
alignment(char *), alignment(int *), alignment(function *),
|
|
oc);
|
|
|
|
Vprintf("\n");
|
|
|
|
/* Ten little endians *********************************************/
|
|
|
|
endian(bits_per_byte);
|
|
|
|
/* Pointers *******************************************************/
|
|
|
|
Vprintf("\n%sPROPERTIES OF POINTERS%s\n", co, oc);
|
|
|
|
if ((long) (char *) &variable == (long) (int *) &variable) {
|
|
Vprintf("%sChar and int pointer formats seem identical%s\n",
|
|
co, oc);
|
|
} else {
|
|
Vprintf("%sChar and int pointer formats are different%s\n",
|
|
co, oc);
|
|
}
|
|
if ((long) (char *) &variable == (long) (function *) &variable) {
|
|
Vprintf("%sChar and function pointer formats seem identical%s\n",
|
|
co, oc);
|
|
} else {
|
|
Vprintf("%sChar and function pointer formats are different%s\n",
|
|
co, oc);
|
|
}
|
|
|
|
if (V) {
|
|
if ("abcd"=="abcd")
|
|
printf("%sStrings are shared%s\n", co, oc);
|
|
else printf("%sStrings are not shared%s\n", co, oc);
|
|
}
|
|
|
|
p=0; q=0;
|
|
showtype("Type ptrdiff_t is", p-q);
|
|
|
|
Vprintf("\n%sPROPERTIES OF INTEGRAL TYPES%s\n", co, oc);
|
|
|
|
sprop();
|
|
iprop();
|
|
lprop();
|
|
usprop();
|
|
uiprop();
|
|
ulprop();
|
|
|
|
promotions();
|
|
|
|
Unexpected(6);
|
|
|
|
return bits_per_byte;
|
|
}
|
|
|
|
#else /* not PASS0 */
|
|
|
|
#ifdef SEP
|
|
extern jmp_buf lab;
|
|
extern int V, L, F, bugs, bits_per_byte;
|
|
extern char co[], oc[];
|
|
extern char *f_rep();
|
|
#endif /* SEP */
|
|
#endif /* ifdef PASS0 */
|
|
|
|
/* As I said, I apologise for the contortions below. The functions are
|
|
expanded by the preprocessor twice or three times (for float and double,
|
|
and maybe for long double, and for short, int and long). That way,
|
|
I never make a change to one that I forget to make to the other.
|
|
You can look on it as C's fault for not supporting multi-line macro's.
|
|
This whole file is read 3 times by the preprocessor, with PASSn set for
|
|
n=1, 2 or 3, to decide which parts to reprocess.
|
|
*/
|
|
|
|
/* #undef on an already undefined thing is (wrongly) flagged as an error
|
|
by some compilers, therefore the #ifdef that follows:
|
|
*/
|
|
#ifdef Number
|
|
#undef Number
|
|
#undef THING
|
|
#undef Thing
|
|
#undef thing
|
|
#undef FPROP
|
|
#undef Fname
|
|
#undef Store
|
|
#undef Sum
|
|
#undef Diff
|
|
#undef Mul
|
|
#undef Div
|
|
#undef ZERO
|
|
#undef HALF
|
|
#undef ONE
|
|
#undef TWO
|
|
#undef THREE
|
|
#undef FOUR
|
|
#undef Self
|
|
#undef F_check
|
|
#undef Validate
|
|
#undef EPROP
|
|
#undef MARK
|
|
|
|
/* These are the float.h constants */
|
|
#undef F_RADIX
|
|
#undef F_MANT_DIG
|
|
#undef F_DIG
|
|
#undef F_ROUNDS
|
|
#undef F_EPSILON
|
|
#undef F_MIN_EXP
|
|
#undef F_MIN
|
|
#undef F_MIN_10_EXP
|
|
#undef F_MAX_EXP
|
|
#undef F_MAX
|
|
#undef F_MAX_10_EXP
|
|
#endif
|
|
|
|
#ifdef Integer
|
|
#undef Integer
|
|
#undef INT
|
|
#undef IPROP
|
|
#undef Iname
|
|
#undef UPROP
|
|
#undef Uname
|
|
#undef OK_UI
|
|
#undef IMARK
|
|
|
|
#undef I_MAX
|
|
#undef I_MIN
|
|
#undef U_MAX
|
|
#endif
|
|
|
|
#ifdef PASS1
|
|
|
|
/* Define the things we're going to use this pass */
|
|
|
|
#define Number float
|
|
#define THING "FLOAT"
|
|
#define Thing "Float"
|
|
#define thing "float"
|
|
#define Fname "FLT"
|
|
#define FPROP fprop
|
|
#define Store fStore
|
|
#define Sum fSum
|
|
#define Diff fDiff
|
|
#define Mul fMul
|
|
#define Div fDiv
|
|
#define ZERO 0.0
|
|
#define HALF 0.5
|
|
#define ONE 1.0
|
|
#define TWO 2.0
|
|
#define THREE 3.0
|
|
#define FOUR 4.0
|
|
#define Self fSelf
|
|
#define F_check fCheck
|
|
#define MARK "F"
|
|
#ifdef VERIFY
|
|
#define Validate(prec, val, req, same) fValidate(prec, val, req, same)
|
|
#endif
|
|
|
|
#define EPROP efprop
|
|
|
|
#define Integer short
|
|
#define INT "short"
|
|
#define IPROP sprop
|
|
#define Iname "SHRT"
|
|
#ifndef NO_UI
|
|
#define OK_UI 1
|
|
#endif
|
|
#define IMARK ""
|
|
|
|
#define UPROP usprop
|
|
#define Uname "USHRT"
|
|
|
|
#ifdef 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 /* 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 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 /* PASS2 */
|
|
|
|
#ifdef PASS3
|
|
|
|
#ifdef STDC
|
|
#define Number long double
|
|
|
|
#define ZERO 0.0L
|
|
#define HALF 0.5L
|
|
#define ONE 1.0L
|
|
#define TWO 2.0L
|
|
#define THREE 3.0L
|
|
#define FOUR 4.0L
|
|
#endif
|
|
|
|
#define THING "LONG DOUBLE"
|
|
#define Thing "Long double"
|
|
#define thing "long double"
|
|
#define Fname "LDBL"
|
|
#define FPROP ldprop
|
|
#define Store ldStore
|
|
#define Sum ldSum
|
|
#define Diff ldDiff
|
|
#define Mul ldMul
|
|
#define Div ldDiv
|
|
#define Self ldSelf
|
|
#define F_check ldCheck
|
|
#define MARK "L"
|
|
#ifdef VERIFY
|
|
#define Validate(prec, val, req, same) ldValidate(prec, val, req, same)
|
|
#endif
|
|
|
|
#define EPROP eldprop
|
|
|
|
#define Integer long
|
|
#define INT "long"
|
|
#define IPROP lprop
|
|
#define Iname "LONG"
|
|
#ifndef NO_UI
|
|
#define OK_UI 1
|
|
#endif
|
|
#define IMARK "L"
|
|
|
|
#define UPROP ulprop
|
|
#define Uname "ULONG"
|
|
|
|
#ifdef 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 /* PASS3 */
|
|
|
|
#define UNDEFINED (-2)
|
|
|
|
#ifndef I_MAX
|
|
#define I_MAX ((unsigned long) UNDEFINED)
|
|
#endif
|
|
#ifndef I_MIN
|
|
#define I_MIN ((unsigned long) UNDEFINED)
|
|
#endif
|
|
#ifndef U_MAX
|
|
#define U_MAX ((unsigned long) UNDEFINED)
|
|
#endif
|
|
|
|
#ifndef F_RADIX
|
|
#define F_RADIX UNDEFINED
|
|
#endif
|
|
#ifndef F_MANT_DIG
|
|
#define F_MANT_DIG UNDEFINED
|
|
#endif
|
|
#ifndef F_DIG
|
|
#define F_DIG UNDEFINED
|
|
#endif
|
|
#ifndef F_ROUNDS
|
|
#define F_ROUNDS UNDEFINED
|
|
#endif
|
|
#ifndef F_EPSILON
|
|
#define F_EPSILON ((Number) UNDEFINED)
|
|
#endif
|
|
#ifndef F_MIN_EXP
|
|
#define F_MIN_EXP UNDEFINED
|
|
#endif
|
|
#ifndef F_MIN
|
|
#define F_MIN ((Number) UNDEFINED)
|
|
#endif
|
|
#ifndef F_MIN_10_EXP
|
|
#define F_MIN_10_EXP UNDEFINED
|
|
#endif
|
|
#ifndef F_MAX_EXP
|
|
#define F_MAX_EXP UNDEFINED
|
|
#endif
|
|
#ifndef F_MAX
|
|
#define F_MAX ((Number) UNDEFINED)
|
|
#endif
|
|
#ifndef F_MAX_10_EXP
|
|
#define F_MAX_10_EXP UNDEFINED
|
|
#endif
|
|
|
|
#ifndef VERIFY
|
|
#define Validate(prec, val, req, same) {;}
|
|
#endif
|
|
|
|
#ifdef Integer
|
|
|
|
Procedure IPROP() {
|
|
/* the properties of short, int, and long */
|
|
Volatile Integer newi, int_max, maxeri, int_min, minneri;
|
|
Volatile int ibits, ipower, two=2;
|
|
|
|
/* Calculate max short/int/long ***********************************/
|
|
/* Calculate 2**n-1 until overflow - then use the previous value */
|
|
|
|
newi=1; int_max=0;
|
|
|
|
if (setjmp(lab)==0) { /* Yields int_max */
|
|
for(ipower=0; newi>int_max; ipower++) {
|
|
int_max=newi;
|
|
newi=newi*two+1;
|
|
}
|
|
Vprintf("%sOverflow of a%s %s does not generate a trap%s\n",
|
|
co, INT[0]=='i'?"n":"", INT, oc);
|
|
} else {
|
|
Vprintf("%sOverflow of a%s %s generates a trap%s\n",
|
|
co, INT[0]=='i'?"n":"", INT, oc);
|
|
}
|
|
Unexpected(7);
|
|
|
|
/* Minimum value: assume either two's or one's complement *********/
|
|
int_min= -int_max;
|
|
if (setjmp(lab)==0) { /* Yields int_min */
|
|
if (int_min-1 < int_min) int_min--;
|
|
}
|
|
Unexpected(8);
|
|
|
|
/* Now for those daft Cybers */
|
|
|
|
maxeri=0; newi=int_max;
|
|
|
|
if (setjmp(lab)==0) { /* Yields maxeri */
|
|
for(ibits=ipower; newi>maxeri; ibits++) {
|
|
maxeri=newi;
|
|
newi=newi+newi+1;
|
|
}
|
|
}
|
|
Unexpected(9);
|
|
|
|
minneri= -maxeri;
|
|
if (setjmp(lab)==0) { /* Yields minneri */
|
|
if (minneri-1 < minneri) minneri--;
|
|
}
|
|
Unexpected(10);
|
|
|
|
Vprintf("%sMaximum %s = %ld (= 2**%d-1)%s\n",
|
|
co, INT, (long)int_max, ipower, oc);
|
|
Vprintf("%sMinimum %s = %ld%s\n", co, INT, (long)int_min, oc);
|
|
|
|
if (L) i_define(D_INT_MAX, INT, Iname, "_MAX",
|
|
(long) int_max, 0L,
|
|
(long) I_MAX, IMARK);
|
|
if (L) i_define(D_INT_MIN, INT, Iname, "_MIN",
|
|
(long) int_min, (long) (PASS==1?maxint:int_max),
|
|
(long) I_MIN, IMARK);
|
|
|
|
if(int_max < 0) { /* It has happened */
|
|
eek_a_bug("signed integral comparison faulty?");
|
|
}
|
|
|
|
if (maxeri>int_max) {
|
|
Vprintf("%sThere is a larger %s, %ld (= 2**%d-1), %s %s%s\n",
|
|
co, INT, (long)maxeri, ibits,
|
|
"but only for addition, not multiplication",
|
|
"(I smell a Cyber!)",
|
|
oc);
|
|
}
|
|
|
|
if (minneri<int_min) {
|
|
Vprintf("%sThere is a smaller %s, %ld, %s %s%s\n",
|
|
co, INT, (long)minneri,
|
|
"but only for addition, not multiplication",
|
|
"(I smell a Cyber!)",
|
|
oc);
|
|
}
|
|
}
|
|
|
|
Procedure UPROP () {
|
|
/* The properties of unsigned short/int/long */
|
|
#ifdef OK_UI
|
|
Volatile unsigned Integer u_max, newi, two;
|
|
newi=1; u_max=0; two=2;
|
|
|
|
if (setjmp(lab)==0) { /* Yields u_max */
|
|
while(newi>u_max) {
|
|
u_max=newi;
|
|
newi=newi*two+1;
|
|
}
|
|
}
|
|
Unexpected(11);
|
|
Vprintf("%sMaximum unsigned %s = %lu%s\n",
|
|
co, INT, (unsigned long) u_max, oc);
|
|
|
|
/* Oh woe: new standard C defines value preserving promotions */
|
|
if (L) {
|
|
if (PASS == 1 && sizeof(short) < sizeof(int)) {
|
|
/* Special only for short */
|
|
i_define(D_UINT_MAX, INT, Uname, "_MAX",
|
|
(unsigned long) u_max, 0L,
|
|
(unsigned long) U_MAX, IMARK);
|
|
} else {
|
|
u_define(D_UINT_MAX, INT, Uname, "_MAX",
|
|
(unsigned long) u_max,
|
|
(unsigned long) U_MAX, IMARK);
|
|
}
|
|
}
|
|
#endif
|
|
}
|
|
|
|
#endif /* Integer */
|
|
|
|
#ifdef Number
|
|
|
|
/* The following routines are intended to defeat any attempt at optimisation
|
|
or use of extended precision, and to defeat faulty narrowing casts.
|
|
The weird prototypes are because of widening incompatibilities.
|
|
*/
|
|
#ifdef STDC
|
|
#define ARGS1(atype, a) (atype a)
|
|
#define ARGS2(atype, a, btype, b) (atype a, btype b)
|
|
#else
|
|
#define ARGS1(atype, a) (a) atype a;
|
|
#define ARGS2(atype, a, btype, b) (a, b) atype a; btype b;
|
|
#endif
|
|
|
|
Procedure Store ARGS2(Number, a, Number *, b) { *b=a; }
|
|
Number Sum ARGS2(Number, a, Number, b) {Number r; Store(a+b, &r); return (r); }
|
|
Number Diff ARGS2(Number, a, Number, b){Number r; Store(a-b, &r); return (r); }
|
|
Number Mul ARGS2(Number, a, Number, b) {Number r; Store(a*b, &r); return (r); }
|
|
Number Div ARGS2(Number, a, Number, b) {Number r; Store(a/b, &r); return (r); }
|
|
Number Self ARGS1(Number, a) {Number r; Store(a, &r); return (r); }
|
|
|
|
Procedure F_check ARGS((int precision, Long_double val1));
|
|
|
|
Procedure F_check(precision, val1) int precision; Long_double val1; {
|
|
/* You don't think I'm going to go to all the trouble of writing
|
|
a program that works out what all sorts of values are, only to
|
|
have printf go and print the wrong values out, do you?
|
|
No, you're right, so this function tries to see if printf
|
|
has written the right value, by reading it back again.
|
|
This introduces a new problem of course: suppose printf writes
|
|
the correct value, and scanf reads it back wrong... oh well.
|
|
But I'm adamant about this: the precision given is enough
|
|
to uniquely identify the printed number, therefore I insist
|
|
that sscanf read the number back identically. Harsh yes, but
|
|
sometimes you've got to be cruel to be kind.
|
|
*/
|
|
Number val, new, diff;
|
|
double rem;
|
|
int e;
|
|
char *rep;
|
|
char *f2;
|
|
|
|
#ifdef NO_LONG_DOUBLE_IO
|
|
double new1;
|
|
/* On the Sun 3, sscanf clobbers 4 words,
|
|
which leads to a crash when this function tries to return. */
|
|
f2= "%le"; /* Input */
|
|
/* It is no use checking long doubles if we can't
|
|
read and write them. */
|
|
if (sizeof (Number) > sizeof(double))
|
|
return;
|
|
#else
|
|
Long_double new1;
|
|
if (sizeof(double) == sizeof(Long_double)) {
|
|
/* Assume they're the same, and use non-stdc format */
|
|
/* This is for stdc compilers using non-stdc libraries */
|
|
f2= "%le"; /* Input */
|
|
} else {
|
|
/* It had better support Le then */
|
|
f2= "%Le";
|
|
}
|
|
#endif
|
|
val= val1;
|
|
rep= f_rep(precision, (Long_double) val);
|
|
if (setjmp(lab)==0) {
|
|
sscanf(rep, f2, &new1);
|
|
} else {
|
|
eek_a_bug("sscanf caused a trap");
|
|
printf("%s scanning: %s format: %s%s\n\n", co, rep, f2, oc);
|
|
Unexpected(12);
|
|
return;
|
|
}
|
|
|
|
if (setjmp(lab)==0) { /* See if new is usable */
|
|
new= new1;
|
|
if (new != 0.0) {
|
|
diff= val/new - 1.0;
|
|
if (diff < 0.1) diff= 1.0;
|
|
/* That should be enough to generate a trap */
|
|
}
|
|
} else {
|
|
eek_a_bug("sscanf returned an unusable number");
|
|
printf("%s scanning: %s with format: %s%s\n\n",
|
|
co, rep, f2, oc);
|
|
Unexpected(13);
|
|
return;
|
|
}
|
|
|
|
Unexpected(14);
|
|
if (new != val) {
|
|
eek_a_bug("Possibly bad output from printf above");
|
|
if (!exponent((Long_double)val, &rem, &e)) {
|
|
printf("%s but value was an unusable number%s\n\n",
|
|
co, oc);
|
|
return;
|
|
}
|
|
printf("%s expected value around %.*fe%d, bit pattern:\n ",
|
|
co, precision, rem, e);
|
|
bitpattern((char *) &val, (unsigned)sizeof(val));
|
|
printf ("%s\n", oc);
|
|
printf("%s sscanf gave %s, bit pattern:\n ",
|
|
co, f_rep(precision, (Long_double) new));
|
|
bitpattern((char *) &new, (unsigned)sizeof(new));
|
|
printf ("%s\n", oc);
|
|
if (setjmp(lab) == 0) {
|
|
diff= val-new;
|
|
printf("%s difference= %s%s\n\n",
|
|
co, f_rep(precision, (Long_double) diff), oc);
|
|
} /* else forget it */
|
|
Unexpected(15);
|
|
}
|
|
}
|
|
|
|
#ifdef VERIFY
|
|
Procedure Validate(prec, val, req, same) int prec, same; Long_double val, req; {
|
|
/* Check that the compiler has read a #define value correctly */
|
|
Unexpected(16);
|
|
if (!same) {
|
|
printf("%s*** Verify failed for above #define!\n", co);
|
|
if (setjmp(lab) == 0) { /* for the case that req == nan */
|
|
printf(" Compiler has %s for value%s\n",
|
|
f_rep(prec, req), oc);
|
|
} else {
|
|
printf(" Compiler has %s for value%s\n",
|
|
"an unusable number", oc);
|
|
}
|
|
if (setjmp(lab) == 0) {
|
|
F_check(prec, (Long_double) req);
|
|
} /*else forget it*/
|
|
if (setjmp(lab) == 0) {
|
|
if (req > 0.0 && val > 0.0) {
|
|
printf("%s difference= %s%s\n",
|
|
co, f_rep(prec, val-req), oc);
|
|
}
|
|
} /*else forget it*/
|
|
Unexpected(17);
|
|
printf("\n");
|
|
bugs++;
|
|
} else if (val != req) {
|
|
if (stdc) eek_a_bug("constant has the wrong precision");
|
|
else eek_a_bug("the cast didn't work");
|
|
printf("\n");
|
|
}
|
|
}
|
|
#endif /* VERIFY */
|
|
|
|
int FPROP(bits_per_byte) int bits_per_byte; {
|
|
/* Properties of floating types, using algorithms by Cody and Waite
|
|
from MA Malcolm, as modified by WM Gentleman and SB Marovich.
|
|
Further extended by S Pemberton.
|
|
|
|
Returns the number of digits in the fraction.
|
|
*/
|
|
|
|
Volatile int
|
|
i, f_radix, iexp, irnd, mrnd, f_rounds, f_mant_dig,
|
|
iz, k, inf, machep, f_max_exp, f_min_exp, mx, negeps,
|
|
mantbits, digs, f_dig, trap,
|
|
hidden, normal, f_min_10_exp, f_max_10_exp;
|
|
Volatile Number
|
|
a, b, base, basein, basem1, f_epsilon, epsneg,
|
|
eps, epsp1, etop, ebot,
|
|
f_max, newxmax, f_min, xminner, y, y1, z, z1, z2;
|
|
|
|
Unexpected(18);
|
|
|
|
Vprintf("%sPROPERTIES OF %s%s\n", co, THING, oc);
|
|
|
|
/* Base and size of significand **************************************/
|
|
/* First repeatedly double until adding 1 has no effect. */
|
|
/* For instance, if base is 10, with 3 significant digits */
|
|
/* it will try 1, 2, 4, 8, ... 512, 1024, and stop there, */
|
|
/* since 1024 is only representable as 1020. */
|
|
a=1.0;
|
|
if (setjmp(lab)==0) { /* inexact trap? */
|
|
do { a=Sum(a, a); }
|
|
while (Diff(Diff(Sum(a, ONE), a), ONE) == ZERO);
|
|
} else {
|
|
fprintf(stderr, "*** Program got loss-of-precision trap!\n");
|
|
/* And supporting those is just TOO much trouble! */
|
|
farewell(bugs+1);
|
|
}
|
|
Unexpected(19);
|
|
/* Now double until you find a number that can be added to the */
|
|
/* above number. For 1020 this is 8 or 16, depending whether the */
|
|
/* result is rounded or truncated. */
|
|
/* In either case the result is 1030. 1030-1020= the base, 10. */
|
|
b=1.0;
|
|
do { b=Sum(b, b); } while ((base=Diff(Sum(a, b), a)) == ZERO);
|
|
f_radix=base;
|
|
Vprintf("%sBase = %d%s\n", co, f_radix, oc);
|
|
|
|
/* Sanity check; if base<2, I can't guarantee the rest will work */
|
|
if (f_radix < 2) {
|
|
eek_a_bug("Function return or parameter passing faulty? (This is a guess.)");
|
|
printf("\n");
|
|
return(0);
|
|
}
|
|
|
|
if (PASS == 1) { /* only for FLT */
|
|
flt_radix= f_radix;
|
|
if (F) i_define(D_FLT_RADIX, "", "FLT", "_RADIX",
|
|
(long) f_radix, 0L, (long) F_RADIX, "");
|
|
} else if (f_radix != flt_radix) {
|
|
printf("\n%s*** WARNING: %s %s (%d) %s%s\n",
|
|
co, thing, "arithmetic has a different radix",
|
|
f_radix, "from float", oc);
|
|
bugs++;
|
|
}
|
|
|
|
/* Now the number of digits precision */
|
|
f_mant_dig=0; b=1.0;
|
|
do { f_mant_dig++; b=Mul(b, base); }
|
|
while (Diff(Diff(Sum(b, ONE), b), ONE) == ZERO);
|
|
f_dig=floor_log(10, (Long_double)(b/base)) + (base==10?1:0);
|
|
Vprintf("%sSignificant base digits = %d %s %d %s%s\n",
|
|
co, f_mant_dig, "(= at least", f_dig, "decimal digits)", oc);
|
|
if (F) i_define(D_MANT_DIG, thing, Fname, "_MANT_DIG",
|
|
(long) f_mant_dig, 0L, (long) F_MANT_DIG, "");
|
|
if (F) i_define(D_DIG, thing, Fname, "_DIG",
|
|
(long) f_dig, 0L, (long) F_DIG, "");
|
|
digs= ceil_log(10, (Long_double)b); /* the number of digits to printf */
|
|
|
|
/* Rounding *******************************************************/
|
|
basem1=Diff(base, HALF);
|
|
if (Diff(Sum(a, basem1), a) != ZERO) {
|
|
if (f_radix == 2) basem1=0.375;
|
|
else basem1=1.0;
|
|
if (Diff(Sum(a, basem1), a) != ZERO) irnd=2; /* away from 0 */
|
|
else irnd=1; /* to nearest */
|
|
} else irnd=0; /* towards 0 */
|
|
|
|
basem1=Diff(base, HALF);
|
|
|
|
if (Diff(Diff(-a, basem1), -a) != ZERO) {
|
|
if (f_radix == 2) basem1=0.375;
|
|
else basem1=1.0;
|
|
if (Diff(Diff(-a, basem1), -a) != ZERO) mrnd=2; /* away from 0*/
|
|
else mrnd=1; /* to nearest */
|
|
} else mrnd=0; /* towards 0 */
|
|
|
|
f_rounds= -1; /* Unknown rounding */
|
|
if (irnd==0 && mrnd==0) f_rounds=0; /* zero = chops */
|
|
if (irnd==1 && mrnd==1) f_rounds=1; /* nearest */
|
|
if (irnd==2 && mrnd==0) f_rounds=2; /* +inf */
|
|
if (irnd==0 && mrnd==2) f_rounds=3; /* -inf */
|
|
|
|
if (f_rounds != -1) {
|
|
Vprintf("%sArithmetic rounds towards ", co);
|
|
switch (f_rounds) {
|
|
case 0: Vprintf("zero (i.e. it chops)"); break;
|
|
case 1: Vprintf("nearest"); break;
|
|
case 2: Vprintf("+infinity"); break;
|
|
case 3: Vprintf("-infinity"); break;
|
|
default: Vprintf("???"); break;
|
|
}
|
|
Vprintf("%s\n", oc);
|
|
} else { /* Hmm, try to give some help here */
|
|
Vprintf("%sArithmetic rounds oddly: %s\n", co, oc);
|
|
Vprintf("%s Negative numbers %s%s\n",
|
|
co, mrnd==0 ? "towards zero" :
|
|
mrnd==1 ? "to nearest" :
|
|
"away from zero",
|
|
oc);
|
|
Vprintf("%s Positive numbers %s%s\n",
|
|
co, irnd==0 ? "towards zero" :
|
|
irnd==1 ? "to nearest" :
|
|
"away from zero",
|
|
oc);
|
|
}
|
|
/* An extra goody */
|
|
if (f_radix == 2 && f_rounds == 1) {
|
|
if (Diff(Sum(a, ONE), a) != ZERO) {
|
|
Vprintf("%s Tie breaking rounds up%s\n", co, oc);
|
|
} else if (Diff(Sum(a, THREE), a) == FOUR) {
|
|
Vprintf("%s Tie breaking rounds to even%s\n", co, oc);
|
|
} else {
|
|
Vprintf("%s Tie breaking rounds down%s\n", co, oc);
|
|
}
|
|
}
|
|
if (PASS == 1) { /* only for FLT */
|
|
flt_rounds= f_rounds;
|
|
/* Prefer system float.h definition of F_ROUNDS,
|
|
since it's more likely to be right than our "1". */
|
|
if (F && (!SYS_FLOAT_H_WRAP || F_ROUNDS == UNDEFINED))
|
|
i_define(D_FLT_ROUNDS, "", "FLT", "_ROUNDS",
|
|
(long) f_rounds, 1L, (long) F_ROUNDS, "");
|
|
} else if (f_rounds != flt_rounds) {
|
|
printf("\n%s*** WARNING: %s %s (%d) %s%s\n",
|
|
co, thing, "arithmetic rounds differently",
|
|
f_rounds, "from float", oc);
|
|
bugs++;
|
|
}
|
|
|
|
/* Various flavours of epsilon ************************************/
|
|
negeps=f_mant_dig+f_mant_dig;
|
|
basein=1.0/base;
|
|
a=1.0;
|
|
for(i=1; i<=negeps; i++) a*=basein;
|
|
|
|
b=a;
|
|
while (Diff(Diff(ONE, a), ONE) == ZERO) {
|
|
a*=base;
|
|
negeps--;
|
|
}
|
|
negeps= -negeps;
|
|
Vprintf("%sSmallest x such that 1.0-base**x != 1.0 = %d%s\n",
|
|
co, negeps, oc);
|
|
|
|
etop = ONE;
|
|
ebot = ZERO;
|
|
eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
|
|
/* find the smallest epsneg (1-epsneg != 1) by binary search.
|
|
ebot and etop are the current bounds */
|
|
while (eps != ebot && eps != etop) {
|
|
epsp1 = Diff(ONE, eps);
|
|
if (epsp1 < ONE) etop = eps;
|
|
else ebot = eps;
|
|
eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
|
|
}
|
|
eps= etop;
|
|
/* Sanity check */
|
|
if (Diff(ONE, etop) >= ONE || Diff(ONE, ebot) != ONE) {
|
|
eek_a_bug("internal error calculating epsneg");
|
|
}
|
|
Vprintf("%sSmallest x such that 1.0-x != 1.0 = %s%s\n",
|
|
co, f_rep(digs, (Long_double) eps), oc);
|
|
if (V) F_check(digs, (Long_double) eps);
|
|
|
|
epsneg=a;
|
|
if ((f_radix!=2) && irnd) {
|
|
/* a=(a*(1.0+a))/(1.0+1.0); => */
|
|
a=Div(Mul(a, Sum(ONE, a)), Sum(ONE, ONE));
|
|
/* if ((1.0-a)-1.0 != 0.0) epsneg=a; => */
|
|
if (Diff(Diff(ONE, a), ONE) != ZERO) epsneg=a;
|
|
}
|
|
/* epsneg is used later */
|
|
Unexpected(20);
|
|
|
|
machep= -f_mant_dig-f_mant_dig;
|
|
a=b;
|
|
while (Diff(Sum(ONE, a), ONE) == ZERO) { a*=base; machep++; }
|
|
Vprintf("%sSmallest x such that 1.0+base**x != 1.0 = %d%s\n",
|
|
co, machep, oc);
|
|
|
|
etop = ONE;
|
|
ebot = ZERO;
|
|
eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
|
|
/* find the smallest eps (1+eps != 1) by binary search.
|
|
ebot and etop are the current bounds */
|
|
while (eps != ebot && eps != etop) {
|
|
epsp1 = Sum(ONE, eps);
|
|
if (epsp1 > ONE) etop = eps;
|
|
else ebot = eps;
|
|
eps = Sum(ebot, Div(Diff(etop, ebot), TWO));
|
|
}
|
|
/* Sanity check */
|
|
if (Sum(ONE, etop) <= ONE || Sum(ONE, ebot) != ONE) {
|
|
eek_a_bug("internal error calculating eps");
|
|
}
|
|
f_epsilon=etop;
|
|
|
|
Vprintf("%sSmallest x such that 1.0+x != 1.0 = %s%s\n",
|
|
co, f_rep(digs, (Long_double) f_epsilon), oc);
|
|
|
|
f_epsilon= Diff(Sum(ONE, f_epsilon), ONE); /* New C standard defn */
|
|
Vprintf("%s(Above number + 1.0) - 1.0 = %s%s\n",
|
|
co, f_rep(digs, (Long_double) (f_epsilon)), oc);
|
|
|
|
/* Possible loss of precision warnings here from non-stdc compilers */
|
|
if (F) f_define(D_EPSILON, thing,
|
|
Fname, "_EPSILON", digs,
|
|
(Long_double) f_epsilon,
|
|
(Long_double) F_EPSILON, MARK);
|
|
if (V || F) F_check(digs, (Long_double) f_epsilon);
|
|
Unexpected(21);
|
|
if (F) Validate(digs, (Long_double) f_epsilon, (Long_double) F_EPSILON,
|
|
f_epsilon == Self(F_EPSILON));
|
|
Unexpected(22);
|
|
|
|
/* Extra chop info *************************************************/
|
|
if (f_rounds == 0) {
|
|
if (Diff(Mul(Sum(ONE,f_epsilon),ONE),ONE) != ZERO) {
|
|
Vprintf("%sAlthough arithmetic chops, it uses guard digits%s\n", co, oc);
|
|
}
|
|
}
|
|
|
|
/* Size of and minimum normalised exponent ************************/
|
|
y=0; i=0; k=1; z=basein; z1=(1.0+f_epsilon)/base;
|
|
|
|
/* Coarse search for the largest power of two */
|
|
if (setjmp(lab)==0) { /* for underflow trap */ /* Yields i, k, y, y1 */
|
|
do {
|
|
y=z; y1=z1;
|
|
z=Mul(y,y); z1=Mul(z1, y);
|
|
a=Mul(z,ONE);
|
|
z2=Div(z1,y);
|
|
if (z2 != y1) break;
|
|
if ((Sum(a,a) == ZERO) || (fabs(z) >= y)) break;
|
|
i++;
|
|
k+=k;
|
|
} while(1);
|
|
} else {
|
|
Vprintf("%s%s underflow generates a trap%s\n", co, Thing, oc);
|
|
}
|
|
Unexpected(23);
|
|
|
|
if (f_radix != 10) {
|
|
iexp=i+1; /* for the sign */
|
|
mx=k+k;
|
|
} else {
|
|
iexp=2;
|
|
iz=f_radix;
|
|
while (k >= iz) { iz*=f_radix; iexp++; }
|
|
mx=iz+iz-1;
|
|
}
|
|
|
|
/* Fine tune starting with y and y1 */
|
|
if (setjmp(lab)==0) { /* for underflow trap */ /* Yields k, f_min */
|
|
do {
|
|
f_min=y; z1=y1;
|
|
y=Div(y,base); y1=Div(y1,base);
|
|
a=Mul(y,ONE);
|
|
z2=Mul(y1,base);
|
|
if (z2 != z1) break;
|
|
if ((Sum(a,a) == ZERO) || (fabs(y) >= f_min)) break;
|
|
k++;
|
|
} while (1);
|
|
}
|
|
Unexpected(24);
|
|
|
|
f_min_exp=(-k)+1;
|
|
|
|
if ((mx <= k+k-3) && (f_radix != 10)) { mx+=mx; iexp+=1; }
|
|
Vprintf("%sNumber of bits used for exponent = %d%s\n", co, iexp, oc);
|
|
Vprintf("%sMinimum normalised exponent = %d%s\n", co, f_min_exp-1, oc);
|
|
if (F)
|
|
i_define(D_MIN_EXP, thing, Fname, "_MIN_EXP",
|
|
(long) f_min_exp, (long) maxint, (long) F_MIN_EXP, "");
|
|
|
|
if (setjmp(lab)==0) {
|
|
Vprintf("%sMinimum normalised positive number = %s%s\n",
|
|
co, f_rep(digs, (Long_double) f_min), oc);
|
|
} else {
|
|
eek_a_bug("printf can't print the smallest normalised number");
|
|
printf("\n");
|
|
}
|
|
Unexpected(25);
|
|
/* Possible loss of precision warnings here from non-stdc compilers */
|
|
if (setjmp(lab) == 0) {
|
|
if (F) f_define(D_MIN, thing,
|
|
Fname, "_MIN", digs,
|
|
(Long_double) f_min,
|
|
(Long_double) F_MIN, MARK);
|
|
if (V || F) F_check(digs, (Long_double) f_min);
|
|
} else {
|
|
eek_a_bug("xxx_MIN caused a trap");
|
|
printf("\n");
|
|
}
|
|
|
|
if (setjmp(lab) == 0) {
|
|
if (F) Validate(digs, (Long_double) f_min, (Long_double) F_MIN,
|
|
f_min == Self(F_MIN));
|
|
} else {
|
|
printf("%s*** Verify failed for above #define!\n %s %s\n\n",
|
|
co, "Compiler has an unusable number for value", oc);
|
|
bugs++;
|
|
}
|
|
Unexpected(26);
|
|
|
|
a=1.0; f_min_10_exp=0;
|
|
while (a > f_min*10.0) { a/=10.0; f_min_10_exp--; }
|
|
if (F) i_define(D_MIN_10_EXP, thing, Fname, "_MIN_10_EXP",
|
|
(long) f_min_10_exp, (long) maxint,
|
|
(long) F_MIN_10_EXP, "");
|
|
|
|
/* Minimum exponent ************************************************/
|
|
if (setjmp(lab)==0) { /* for underflow trap */ /* Yields xminner */
|
|
do {
|
|
xminner=y;
|
|
y=Div(y,base);
|
|
a=Mul(y,ONE);
|
|
if ((Sum(a,a) == ZERO) || (fabs(y) >= xminner)) break;
|
|
} while (1);
|
|
}
|
|
Unexpected(27);
|
|
|
|
if (xminner != 0.0 && xminner != f_min) {
|
|
normal= 0;
|
|
Vprintf("%sThe smallest numbers are not kept normalised%s\n",
|
|
co, oc);
|
|
if (setjmp(lab)==0) {
|
|
Vprintf("%sSmallest unnormalised positive number = %s%s\n",
|
|
co, f_rep(digs, (Long_double) xminner), oc);
|
|
if (V) F_check(digs, (Long_double) xminner);
|
|
} else {
|
|
eek_a_bug("printf can't print the smallest unnormalised number.");
|
|
printf("\n");
|
|
}
|
|
Unexpected(28);
|
|
} else {
|
|
normal= 1;
|
|
Vprintf("%sThe smallest numbers are normalised%s\n", co, oc);
|
|
}
|
|
|
|
/* Maximum exponent ************************************************/
|
|
f_max_exp=2; f_max=1.0; newxmax=base+1.0;
|
|
inf=0; trap=0;
|
|
while (f_max<newxmax) {
|
|
f_max=newxmax;
|
|
if (setjmp(lab) == 0) { /* Yields inf, f_max_exp */
|
|
newxmax=Mul(newxmax, base);
|
|
} else {
|
|
trap=1;
|
|
break;
|
|
}
|
|
if (Div(newxmax, base) != f_max) {
|
|
inf=1; /* ieee infinity */
|
|
break;
|
|
}
|
|
f_max_exp++;
|
|
}
|
|
Unexpected(29);
|
|
if (trap) {
|
|
Vprintf("%s%s overflow generates a trap%s\n", co, Thing, oc);
|
|
}
|
|
|
|
if (inf) Vprintf("%sThere is an 'infinite' value%s\n", co, oc);
|
|
Vprintf("%sMaximum exponent = %d%s\n", co, f_max_exp, oc);
|
|
if (F) i_define(D_MAX_EXP, thing, Fname, "_MAX_EXP",
|
|
(long) f_max_exp, 0L, (long) F_MAX_EXP, "");
|
|
|
|
/* Largest number ***************************************************/
|
|
f_max=Diff(ONE, epsneg);
|
|
if (Mul(f_max,ONE) != f_max) f_max=Diff(ONE, Mul(base,epsneg));
|
|
for (i=1; i<=f_max_exp; i++) f_max=Mul(f_max, base);
|
|
|
|
if (setjmp(lab)==0) {
|
|
Vprintf("%sMaximum number = %s%s\n",
|
|
co, f_rep(digs, (Long_double) f_max), oc);
|
|
} else {
|
|
eek_a_bug("printf can't print the largest double.");
|
|
printf("\n");
|
|
}
|
|
if (setjmp(lab)==0) {
|
|
/* Possible loss of precision warnings here from non-stdc compilers */
|
|
if (F) f_define(D_MAX, thing,
|
|
Fname, "_MAX", digs,
|
|
(Long_double) f_max,
|
|
(Long_double) F_MAX, MARK);
|
|
if (V || F) F_check(digs, (Long_double) f_max);
|
|
} else {
|
|
eek_a_bug("xxx_MAX caused a trap");
|
|
printf("\n");
|
|
}
|
|
if (setjmp(lab)==0) {
|
|
if (F) Validate(digs, (Long_double) f_max, (Long_double) F_MAX,
|
|
f_max == Self(F_MAX));
|
|
} else {
|
|
printf("%s*** Verify failed for above #define!\n %s %s\n\n",
|
|
co, "Compiler has an unusable number for value", oc);
|
|
bugs++;
|
|
}
|
|
Unexpected(30);
|
|
|
|
a=1.0; f_max_10_exp=0;
|
|
while (a < f_max/10.0) { a*=10.0; f_max_10_exp++; }
|
|
if (F) i_define(D_MAX_10_EXP, thing, Fname, "_MAX_10_EXP",
|
|
(long) f_max_10_exp, 0L, (long) F_MAX_10_EXP, "");
|
|
|
|
/* Hidden bit + sanity check ****************************************/
|
|
if (f_radix != 10) {
|
|
hidden=0;
|
|
mantbits=floor_log(2, (Long_double)f_radix)*f_mant_dig;
|
|
if (mantbits == 64
|
|
&& iexp == 15
|
|
&& f_max_exp+f_min_exp > 0 /* ??? f_min_exp may be wrong. */
|
|
&& mantbits+iexp+17 == (int)sizeof(Number)*bits_per_byte) {
|
|
Vprintf("%sArithmetic probably doesn't use a hidden bit%s\n", co, oc);
|
|
Vprintf("%sIt's probably 80387 or 68881 extended real%s\n", co, oc);
|
|
goto is_extended;
|
|
}
|
|
if (mantbits+iexp == (int)sizeof(Number)*bits_per_byte) {
|
|
hidden=1;
|
|
Vprintf("%sArithmetic uses a hidden bit%s\n", co, oc);
|
|
} else if (mantbits+iexp+1 == (int)sizeof(Number)*bits_per_byte) {
|
|
Vprintf("%sArithmetic doesn't use a hidden bit%s\n",
|
|
co, oc);
|
|
} else {
|
|
printf("\n%s%s\n %s %s %s!%s\n\n",
|
|
co,
|
|
"*** Something fishy here!",
|
|
"Exponent size + significand size doesn't match",
|
|
"with the size of a", thing,
|
|
oc);
|
|
}
|
|
if (hidden && f_radix == 2 && f_max_exp+f_min_exp==3) {
|
|
Vprintf("%sIt looks like %s length IEEE format%s\n",
|
|
co, f_mant_dig==24 ? "single" :
|
|
f_mant_dig==53 ? "double" :
|
|
f_mant_dig >53 ? "extended" :
|
|
"some", oc);
|
|
is_extended:
|
|
if (f_rounds != 1 || normal) {
|
|
Vprintf("%s though ", co);
|
|
if (f_rounds != 1) {
|
|
Vprintf("the rounding is unusual");
|
|
if (normal) Vprintf(" and ");
|
|
}
|
|
if (normal) Vprintf("the normalisation is unusual");
|
|
Vprintf("%s\n", oc);
|
|
}
|
|
} else {
|
|
Vprintf("%sIt doesn't look like IEEE format%s\n",
|
|
co, oc);
|
|
}
|
|
}
|
|
printf("\n"); /* regardless of verbosity */
|
|
return f_mant_dig;
|
|
}
|
|
|
|
Procedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {
|
|
/* See if expressions are evaluated in extended precision.
|
|
Some compilers optimise even if you don't want it,
|
|
and then this function fails to produce the right result.
|
|
We try to diagnose this if it happens.
|
|
*/
|
|
Volatile int eprec;
|
|
Volatile double a, b, base, old;
|
|
Volatile Number d, oldd, dbase, one, zero;
|
|
Volatile int bad=0;
|
|
|
|
/* Size of significand **************************************/
|
|
a=1.0;
|
|
if (setjmp(lab) == 0) { /* Yields nothing */
|
|
do { old=a; a=a+a; }
|
|
while ((((a+1.0)-a)-1.0) == 0.0 && a>old);
|
|
} else bad=1;
|
|
|
|
/* Avoid the comparison if bad is set,
|
|
to avoid trouble on the convex. */
|
|
if (!bad && (a <= old)) bad=1;
|
|
|
|
if (!bad) {
|
|
b=1.0;
|
|
if (setjmp(lab) == 0) { /* Yields nothing */
|
|
do { old=b; b=b+b; }
|
|
while ((base=((a+b)-a)) == 0.0 && b>old);
|
|
if (b <= old) bad=1;
|
|
} else bad=1;
|
|
}
|
|
|
|
if (!bad) {
|
|
eprec=0; d=1.0; dbase=base; one=1.0; zero=0.0;
|
|
if (setjmp(lab) == 0) { /* Yields nothing */
|
|
do { eprec++; oldd=d; d=d*dbase; }
|
|
while ((((d+one)-d)-one) == zero && d>oldd);
|
|
if (d <= oldd) bad=1;
|
|
} else bad=1;
|
|
}
|
|
|
|
Unexpected(31);
|
|
|
|
if (bad) {
|
|
Vprintf("%sCan't determine precision for %s expressions:\n%s%s\n",
|
|
co, thing, " check that you compiled without optimisation!",
|
|
oc);
|
|
} else if (eprec==dprec) {
|
|
Vprintf("%s%s expressions are evaluated in double precision%s\n",
|
|
co, Thing, oc);
|
|
} else if (eprec==fprec) {
|
|
Vprintf("%s%s expressions are evaluated in float precision%s\n",
|
|
co, Thing, oc);
|
|
} else if (eprec==lprec) {
|
|
Vprintf("%s%s expressions are evaluated in long double precision%s\n",
|
|
co, Thing, oc);
|
|
} else {
|
|
Vprintf("%s%s expressions are evaluated in a %s %s %d %s%s\n",
|
|
co, Thing, eprec>dprec ? "higher" : "lower",
|
|
"precision than double,\n using",
|
|
eprec, "base digits",
|
|
oc);
|
|
}
|
|
}
|
|
|
|
#else /* not Number */
|
|
|
|
#ifdef FPROP /* Then create dummy routines for long double */
|
|
/* ARGSUSED */
|
|
int FPROP(bits_per_byte) int bits_per_byte; { return 0; }
|
|
#endif
|
|
#ifdef EPROP
|
|
/* ARGSUSED */
|
|
Procedure EPROP(fprec, dprec, lprec) int fprec, dprec, lprec; {}
|
|
#endif
|
|
|
|
#endif /* ifdef Number */
|
|
|
|
/* Increment the pass number */
|
|
#undef PASS
|
|
|
|
#ifdef PASS2
|
|
#undef PASS2
|
|
#define PASS 3
|
|
#define PASS3 1
|
|
#endif
|
|
|
|
#ifdef PASS1
|
|
#undef PASS1
|
|
#define PASS 2
|
|
#define PASS2 1
|
|
#endif
|
|
|
|
#ifdef PASS0
|
|
#undef PASS0
|
|
#endif
|
|
|
|
#ifdef PASS /* then rescan this file */
|
|
#ifdef NO_FILE
|
|
#include "enquire.c"
|
|
#else
|
|
#include FILENAME /* if this line fails to compile, define NO_FILE */
|
|
#endif
|
|
#endif /* PASS */
|
|
|