📄 _fsmul.c
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/*** libgcc support for software floating point.** Copyright (C) 1991 by Pipeline Associates, Inc. All rights reserved.** Permission is granted to do *anything* you want with this file,** commercial or otherwise, provided this message remains intact. So there!** I would appreciate receiving any updates/patches/changes that anyone** makes, and am willing to be the repository for said changes (am I** making a big mistake?).Warning! Only single-precision is actually implemented. This filewon't really be much use until double-precision is supported.However, once that is done, this file might eventually become areplacement for libgcc1.c. It might also make possiblecross-compilation for an IEEE target machine from a non-IEEEhost such as a VAX.If you'd like to work on completing this, please talk to rms@gnu.ai.mit.edu.**** Pat Wood** Pipeline Associates, Inc.** pipeline!phw@motown.com or** sun!pipeline!phw or** uunet!motown!pipeline!phw**** 05/01/91 -- V1.0 -- first release to gcc mailing lists** 05/04/91 -- V1.1 -- added float and double prototypes and return values** -- fixed problems with adding and subtracting zero** -- fixed rounding in truncdfsf2** -- fixed SWAP define and tested on 386*//*** The following are routines that replace the libgcc soft floating point** routines that are called automatically when -msoft-float is selected.** The support single and double precision IEEE format, with provisions** for byte-swapped machines (tested on 386). Some of the double-precision** routines work at full precision, but most of the hard ones simply punt** and call the single precision routines, producing a loss of accuracy.** long long support is not assumed or included.** Overall accuracy is close to IEEE (actually 68882) for single-precision** arithmetic. I think there may still be a 1 in 1000 chance of a bit** being rounded the wrong way during a multiply. I'm not fussy enough to** bother with it, but if anyone is, knock yourself out.**** Efficiency has only been addressed where it was obvious that something** would make a big difference. Anyone who wants to do this right for** best speed should go in and rewrite in assembler.**** I have tested this only on a 68030 workstation and 386/ix integrated** in with -msoft-float.*//* the following deal with IEEE single-precision numbers */#define EXCESS 126#define SIGNBIT ((unsigned long)0x80000000)#define HIDDEN (unsigned long)(1 << 23)#define SIGN(fp) ((fp >> (8*sizeof(fp)-1)) & 1)#define EXP(fp) (((fp) >> 23) & (unsigned int) 0x00FF)#define MANT(fp) (((fp) & (unsigned long)0x007FFFFF) | HIDDEN)#define PACK(s,e,m) ((s) | ((e) << 23) | (m))/* the following deal with IEEE double-precision numbers */#define EXCESSD 1022#define HIDDEND (1 << 20)#define EXPD(fp) (((fp.l.upper) >> 20) & 0x7FF)#define SIGND(fp) ((fp.l.upper) & SIGNBIT)#define MANTD(fp) (((((fp.l.upper) & 0xFFFFF) | HIDDEND) << 10) | \ (fp.l.lower >> 22))union float_long { float f; long l; };/* multiply two floats */float__fsmul (float a1, float a2){ volatile union float_long fl1, fl2; volatile unsigned long result; volatile int exp; char sign; fl1.f = a1; fl2.f = a2; if (!fl1.l || !fl2.l) return (0); /* compute sign and exponent */ sign = SIGN (fl1.l) ^ SIGN (fl2.l); exp = EXP (fl1.l) - EXCESS; exp += EXP (fl2.l); fl1.l = MANT (fl1.l); fl2.l = MANT (fl2.l); /* the multiply is done as one 16x16 multiply and two 16x8 multiples */ result = (fl1.l >> 8) * (fl2.l >> 8); result += ((fl1.l & (unsigned long) 0xFF) * (fl2.l >> 8)) >> 8; result += ((fl2.l & (unsigned long) 0xFF) * (fl1.l >> 8)) >> 8; if (result & (unsigned long)0x80000000) { /* round */ result += 0x80; result >>= 8; } else { /* round */ result += 0x40; result >>= 7; exp--; } result &= ~HIDDEN; /* pack up and go home */ fl1.l = PACK (sign ? ((unsigned long) 0x80000000) : 0 , (unsigned long)exp, result); return (fl1.f);}
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