/* (c) copyright 1988 by the Vrije Universiteit, Amsterdam, The Netherlands. See the copyright notice in the ACK home directory, in the file "Copyright". */ /* $Header$ */ /* ROUTINE TO MULTIPLY TWO EXTENDED FORMAT NUMBERS */ # include "adder.h" # include "FP_bias.h" # include "FP_trap.h" # include "FP_types.h" mul_ext(e1,e2) EXTEND *e1,*e2; { register int i,j; /* loop control */ short unsigned mp[4]; /* multiplier */ short unsigned mc[4]; /* multipcand */ short unsigned result[8]; /* result */ B64 tmp64; register unsigned short *pres; /* first save the sign (XOR) */ e1->sign ^= e2->sign; /********************************************************/ /* INCREASE EXPONENT BY ONE (1) */ /* */ /* the nature of the multiplication algorithm used */ /* results in an exponent that is small by an additive */ /* factor of one (1); */ /* if the maximum bit is set it will not be subtracted */ /* during normalization -> this is correct and can be */ /* expected often with normalized numbers */ /* HOWEVER, it is also possible that unnormalized */ /* numbers are used. Rather than shifting here */ /* always(!) (unless L bit is set) I chose to */ /* increase the exponent by one - a simple (FAST) */ /* process - and to decrease it later during */ /* normalization. */ /* */ /********************************************************/ /* The effects of bias (as used here) */ /* and the multiplication algorithm used cancel */ /* so these statements are commented out */ /* August 1985 - if changing the Leading Bit (or NORMBIT) */ /* this problem with the multiplication algorithm no longer */ /* exists - bias must be subtracted now */ /* */ /* e1->exp++; */ /********************************************************/ /* next add the exponents */ e1->exp += e2->exp; e1->exp -= 1; /* correction for bias */ /* check for overflow */ if (e1->exp >= EXT_MAX) { trap(EFOVFL); /* if caught */ /* return signed infinity */ e1->exp = EXT_MAX; infinity: e1->m1 = e1->m2 =0L; return; } /* check for underflow */ if (e1->exp < EXT_MIN) { trap(EFUNFL); e1->exp = EXT_MIN; goto infinity; } /* 128 bit multiply of mantissas */ /* assign unknown long formats */ /* to known unsigned word formats */ mp[0] = e1->m1 >> 16; mp[1] = (unsigned short) e1->m1; mp[2] = e1->m2 >> 16; mp[3] = (unsigned short) e1->m2; mc[0] = e2->m1 >> 16; mc[1] = (unsigned short) e2->m1; mc[2] = e2->m2 >> 16; mc[3] = (unsigned short) e2->m2; for (i = 8; i--;) { result[i] = 0; } /* * fill registers with their components */ for(i=4, pres = &result[4];i--;pres--) if (mp[i]) { unsigned short k = 0; unsigned long mpi = mp[i]; for(j=4;j--;) { unsigned long tmp = (unsigned long)pres[j] + k; if (mc[j]) tmp += mpi * mc[j]; pres[j] = tmp; k = tmp >> 16; } pres[-1] = k; } /* * combine the registers to a total */ e1->m1 = ((unsigned long)(result[0]) << 16) + result[1]; e1->m2 = ((unsigned long)(result[2]) << 16) + result[3]; if (result[4] & 0x8000) { if (++e1->m2 == 0) e1->m1++; } nrm_ext(e1); }