📄 dfadd.c
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} Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } right_exponent = 1; /* Set exponent to reflect different bias * with denomalized numbers. */ } else { Dbl_clear_signexponent_set_hidden(rightp1); } Dbl_clear_exponent_set_hidden(leftp1); diff_exponent = result_exponent - right_exponent; /* * Special case alignment of operands that would force alignment * beyond the extent of the extension. A further optimization * could special case this but only reduces the path length for this * infrequent case. */ if(diff_exponent > DBL_THRESHOLD) { diff_exponent = DBL_THRESHOLD; } /* Align right operand by shifting to right */ Dbl_right_align(/*operand*/rightp1,rightp2,/*shifted by*/diff_exponent, /*and lower to*/extent); /* Treat sum and difference of the operands separately. */ if( (/*signed*/int) save < 0 ) { /* * Difference of the two operands. Their can be no overflow. A * borrow can occur out of the hidden bit and force a post * normalization phase. */ Dbl_subtract_withextension(leftp1,leftp2,/*minus*/rightp1,rightp2, /*with*/extent,/*into*/resultp1,resultp2); if(Dbl_iszero_hidden(resultp1)) { /* Handle normalization */ /* A straight foward algorithm would now shift the result * and extension left until the hidden bit becomes one. Not * all of the extension bits need participate in the shift. * Only the two most significant bits (round and guard) are * needed. If only a single shift is needed then the guard * bit becomes a significant low order bit and the extension * must participate in the rounding. If more than a single * shift is needed, then all bits to the right of the guard * bit are zeros, and the guard bit may or may not be zero. */ sign_save = Dbl_signextendedsign(resultp1); Dbl_leftshiftby1_withextent(resultp1,resultp2,extent,resultp1,resultp2); /* Need to check for a zero result. The sign and exponent * fields have already been zeroed. The more efficient test * of the full object can be used. */ if(Dbl_iszero(resultp1,resultp2)) /* Must have been "x-x" or "x+(-x)". */ { if(Is_rounding_mode(ROUNDMINUS)) Dbl_setone_sign(resultp1); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } result_exponent--; /* Look to see if normalization is finished. */ if(Dbl_isone_hidden(resultp1)) { if(result_exponent==0) { /* Denormalized, exponent should be zero. Left operand * * was normalized, so extent (guard, round) was zero */ goto underflow; } else { /* No further normalization is needed. */ Dbl_set_sign(resultp1,/*using*/sign_save); Ext_leftshiftby1(extent); goto round; } } /* Check for denormalized, exponent should be zero. Left * * operand was normalized, so extent (guard, round) was zero */ if(!(underflowtrap = Is_underflowtrap_enabled()) && result_exponent==0) goto underflow; /* Shift extension to complete one bit of normalization and * update exponent. */ Ext_leftshiftby1(extent); /* Discover first one bit to determine shift amount. Use a * modified binary search. We have already shifted the result * one position right and still not found a one so the remainder * of the extension must be zero and simplifies rounding. */ /* Scan bytes */ while(Dbl_iszero_hiddenhigh7mantissa(resultp1)) { Dbl_leftshiftby8(resultp1,resultp2); if((result_exponent -= 8) <= 0 && !underflowtrap) goto underflow; } /* Now narrow it down to the nibble */ if(Dbl_iszero_hiddenhigh3mantissa(resultp1)) { /* The lower nibble contains the normalizing one */ Dbl_leftshiftby4(resultp1,resultp2); if((result_exponent -= 4) <= 0 && !underflowtrap) goto underflow; } /* Select case were first bit is set (already normalized) * otherwise select the proper shift. */ if((jumpsize = Dbl_hiddenhigh3mantissa(resultp1)) > 7) { /* Already normalized */ if(result_exponent <= 0) goto underflow; Dbl_set_sign(resultp1,/*using*/sign_save); Dbl_set_exponent(resultp1,/*using*/result_exponent); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } Dbl_sethigh4bits(resultp1,/*using*/sign_save); switch(jumpsize) { case 1: { Dbl_leftshiftby3(resultp1,resultp2); result_exponent -= 3; break; } case 2: case 3: { Dbl_leftshiftby2(resultp1,resultp2); result_exponent -= 2; break; } case 4: case 5: case 6: case 7: { Dbl_leftshiftby1(resultp1,resultp2); result_exponent -= 1; break; } } if(result_exponent > 0) { Dbl_set_exponent(resultp1,/*using*/result_exponent); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); /* Sign bit is already set */ } /* Fixup potential underflows */ underflow: if(Is_underflowtrap_enabled()) { Dbl_set_sign(resultp1,sign_save); Dbl_setwrapped_exponent(resultp1,result_exponent,unfl); Dbl_copytoptr(resultp1,resultp2,dstptr); /* inexact = FALSE */ return(UNDERFLOWEXCEPTION); } /* * Since we cannot get an inexact denormalized result, * we can now return. */ Dbl_fix_overshift(resultp1,resultp2,(1-result_exponent),extent); Dbl_clear_signexponent(resultp1); Dbl_set_sign(resultp1,sign_save); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* end if(hidden...)... */ /* Fall through and round */ } /* end if(save < 0)... */ else { /* Add magnitudes */ Dbl_addition(leftp1,leftp2,rightp1,rightp2,/*to*/resultp1,resultp2); if(Dbl_isone_hiddenoverflow(resultp1)) { /* Prenormalization required. */ Dbl_rightshiftby1_withextent(resultp2,extent,extent); Dbl_arithrightshiftby1(resultp1,resultp2); result_exponent++; } /* end if hiddenoverflow... */ } /* end else ...add magnitudes... */ /* Round the result. If the extension is all zeros,then the result is * exact. Otherwise round in the correct direction. No underflow is * possible. If a postnormalization is necessary, then the mantissa is * all zeros so no shift is needed. */ round: if(Ext_isnotzero(extent)) { inexact = TRUE; switch(Rounding_mode()) { case ROUNDNEAREST: /* The default. */ if(Ext_isone_sign(extent)) { /* at least 1/2 ulp */ if(Ext_isnotzero_lower(extent) || Dbl_isone_lowmantissap2(resultp2)) { /* either exactly half way and odd or more than 1/2ulp */ Dbl_increment(resultp1,resultp2); } } break; case ROUNDPLUS: if(Dbl_iszero_sign(resultp1)) { /* Round up positive results */ Dbl_increment(resultp1,resultp2); } break; case ROUNDMINUS: if(Dbl_isone_sign(resultp1)) { /* Round down negative results */ Dbl_increment(resultp1,resultp2); } case ROUNDZERO:; /* truncate is simple */ } /* end switch... */ if(Dbl_isone_hiddenoverflow(resultp1)) result_exponent++; } if(result_exponent == DBL_INFINITY_EXPONENT) { /* Overflow */ if(Is_overflowtrap_enabled()) { Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl); Dbl_copytoptr(resultp1,resultp2,dstptr); if (inexact) if (Is_inexacttrap_enabled()) return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); else Set_inexactflag(); return(OVERFLOWEXCEPTION); } else { inexact = TRUE; Set_overflowflag(); Dbl_setoverflow(resultp1,resultp2); } } else Dbl_set_exponent(resultp1,result_exponent); Dbl_copytoptr(resultp1,resultp2,dstptr); if(inexact) if(Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); else Set_inexactflag(); return(NOEXCEPTION);}
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