/* $OpenBSD: dfdiv.c,v 1.3 1998/07/02 19:05:00 mickey Exp $ */ /* * Copyright 1996 1995 by Open Software Foundation, Inc. * All Rights Reserved * * Permission to use, copy, modify, and distribute this software and * its documentation for any purpose and without fee is hereby granted, * provided that the above copyright notice appears in all copies and * that both the copyright notice and this permission notice appear in * supporting documentation. * * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE. * * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT, * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. * */ /* * pmk1.1 */ /* * (c) Copyright 1986 HEWLETT-PACKARD COMPANY * * To anyone who acknowledges that this file is provided "AS IS" * without any express or implied warranty: * permission to use, copy, modify, and distribute this file * for any purpose is hereby granted without fee, provided that * the above copyright notice and this notice appears in all * copies, and that the name of Hewlett-Packard Company not be * used in advertising or publicity pertaining to distribution * of the software without specific, written prior permission. * Hewlett-Packard Company makes no representations about the * suitability of this software for any purpose. */ #include "../spmath/float.h" #include "../spmath/dbl_float.h" /* * Double Precision Floating-point Divide */ int dbl_fdiv(srcptr1,srcptr2,dstptr,status) dbl_floating_point *srcptr1, *srcptr2, *dstptr; unsigned int *status; { register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2; register unsigned int opnd3p1, opnd3p2, resultp1, resultp2; register int dest_exponent, count; register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE; boolean is_tiny; Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2); Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2); /* * set sign bit of result */ if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1)) Dbl_setnegativezerop1(resultp1); else Dbl_setzerop1(resultp1); /* * check first operand for NaN's or infinity */ if (Dbl_isinfinity_exponent(opnd1p1)) { if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { if (Dbl_isnotnan(opnd2p1,opnd2p2)) { if (Dbl_isinfinity(opnd2p1,opnd2p2)) { /* * invalid since both operands * are infinity */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); Set_invalidflag(); Dbl_makequietnan(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* * return infinity */ Dbl_setinfinity_exponentmantissa(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } } else { /* * is NaN; signaling or quiet? */ if (Dbl_isone_signaling(opnd1p1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_set_quiet(opnd1p1); } /* * is second operand a signaling NaN? */ else if (Dbl_is_signalingnan(opnd2p1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_set_quiet(opnd2p1); Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); return(NOEXCEPTION); } /* * return quiet NaN */ Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); return(NOEXCEPTION); } } /* * check second operand for NaN's or infinity */ if (Dbl_isinfinity_exponent(opnd2p1)) { if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { /* * return zero */ Dbl_setzero_exponentmantissa(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* * is NaN; signaling or quiet? */ if (Dbl_isone_signaling(opnd2p1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_set_quiet(opnd2p1); } /* * return quiet NaN */ Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); return(NOEXCEPTION); } /* * check for division by zero */ if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) { if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) { /* invalid since both operands are zero */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); Set_invalidflag(); Dbl_makequietnan(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } if (Is_divisionbyzerotrap_enabled()) return(DIVISIONBYZEROEXCEPTION); Set_divisionbyzeroflag(); Dbl_setinfinity_exponentmantissa(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* * Generate exponent */ dest_exponent = Dbl_exponent(opnd1p1) - Dbl_exponent(opnd2p1) + DBL_BIAS; /* * Generate mantissa */ if (Dbl_isnotzero_exponent(opnd1p1)) { /* set hidden bit */ Dbl_clear_signexponent_set_hidden(opnd1p1); } else { /* check for zero */ if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { Dbl_setzero_exponentmantissa(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* is denormalized, want to normalize */ Dbl_clear_signexponent(opnd1p1); Dbl_leftshiftby1(opnd1p1,opnd1p2); Dbl_normalize(opnd1p1,opnd1p2,dest_exponent); } /* opnd2 needs to have hidden bit set with msb in hidden bit */ if (Dbl_isnotzero_exponent(opnd2p1)) { Dbl_clear_signexponent_set_hidden(opnd2p1); } else { /* is denormalized; want to normalize */ Dbl_clear_signexponent(opnd2p1); Dbl_leftshiftby1(opnd2p1,opnd2p2); while (Dbl_iszero_hiddenhigh7mantissa(opnd2p1)) { dest_exponent+=8; Dbl_leftshiftby8(opnd2p1,opnd2p2); } if (Dbl_iszero_hiddenhigh3mantissa(opnd2p1)) { dest_exponent+=4; Dbl_leftshiftby4(opnd2p1,opnd2p2); } while (Dbl_iszero_hidden(opnd2p1)) { dest_exponent++; Dbl_leftshiftby1(opnd2p1,opnd2p2); } } /* Divide the source mantissas */ /* * A non-restoring divide algorithm is used. */ Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2); Dbl_setzero(opnd3p1,opnd3p2); for (count=1; count <= DBL_P && (opnd1p1 || opnd1p2); count++) { Dbl_leftshiftby1(opnd1p1,opnd1p2); Dbl_leftshiftby1(opnd3p1,opnd3p2); if (Dbl_iszero_sign(opnd1p1)) { Dbl_setone_lowmantissap2(opnd3p2); Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2); } else { Twoword_add(opnd1p1, opnd1p2, opnd2p1, opnd2p2); } } if (count <= DBL_P) { Dbl_leftshiftby1(opnd3p1,opnd3p2); Dbl_setone_lowmantissap2(opnd3p2); Dbl_leftshift(opnd3p1,opnd3p2,(DBL_P-count)); if (Dbl_iszero_hidden(opnd3p1)) { Dbl_leftshiftby1(opnd3p1,opnd3p2); dest_exponent--; } } else { if (Dbl_iszero_hidden(opnd3p1)) { /* need to get one more bit of result */ Dbl_leftshiftby1(opnd1p1,opnd1p2); Dbl_leftshiftby1(opnd3p1,opnd3p2); if (Dbl_iszero_sign(opnd1p1)) { Dbl_setone_lowmantissap2(opnd3p2); Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2); } else { Twoword_add(opnd1p1,opnd1p2,opnd2p1,opnd2p2); } dest_exponent--; } if (Dbl_iszero_sign(opnd1p1)) guardbit = TRUE; stickybit = Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2); } inexact = guardbit | stickybit; /* * round result */ if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) { Dbl_clear_signexponent(opnd3p1); switch (Rounding_mode()) { case ROUNDPLUS: if (Dbl_iszero_sign(resultp1)) Dbl_increment(opnd3p1,opnd3p2); break; case ROUNDMINUS: if (Dbl_isone_sign(resultp1)) Dbl_increment(opnd3p1,opnd3p2); break; case ROUNDNEAREST: if (guardbit && (stickybit || Dbl_isone_lowmantissap2(opnd3p2))) { Dbl_increment(opnd3p1,opnd3p2); } } if (Dbl_isone_hidden(opnd3p1)) dest_exponent++; } Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2); /* * Test for overflow */ if (dest_exponent >= DBL_INFINITY_EXPONENT) { /* trap if OVERFLOWTRAP enabled */ if (Is_overflowtrap_enabled()) { /* * Adjust bias of result */ Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl); Dbl_copytoptr(resultp1,resultp2,dstptr); if (inexact) { if (Is_inexacttrap_enabled()) return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); else Set_inexactflag(); } return(OVERFLOWEXCEPTION); } Set_overflowflag(); /* set result to infinity or largest number */ Dbl_setoverflow(resultp1,resultp2); inexact = TRUE; } /* * Test for underflow */ else if (dest_exponent <= 0) { /* trap if UNDERFLOWTRAP enabled */ if (Is_underflowtrap_enabled()) { /* * Adjust bias of result */ Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl); Dbl_copytoptr(resultp1,resultp2,dstptr); if (inexact) { if (Is_inexacttrap_enabled()) return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION); else Set_inexactflag(); } return(UNDERFLOWEXCEPTION); } /* Determine if should set underflow flag */ is_tiny = TRUE; if (dest_exponent == 0 && inexact) { switch (Rounding_mode()) { case ROUNDPLUS: if (Dbl_iszero_sign(resultp1)) { Dbl_increment(opnd3p1,opnd3p2); if (Dbl_isone_hiddenoverflow(opnd3p1)) is_tiny = FALSE; Dbl_decrement(opnd3p1,opnd3p2); } break; case ROUNDMINUS: if (Dbl_isone_sign(resultp1)) { Dbl_increment(opnd3p1,opnd3p2); if (Dbl_isone_hiddenoverflow(opnd3p1)) is_tiny = FALSE; Dbl_decrement(opnd3p1,opnd3p2); } break; case ROUNDNEAREST: if (guardbit && (stickybit || Dbl_isone_lowmantissap2(opnd3p2))) { Dbl_increment(opnd3p1,opnd3p2); if (Dbl_isone_hiddenoverflow(opnd3p1)) is_tiny = FALSE; Dbl_decrement(opnd3p1,opnd3p2); } break; } } /* * denormalize result or set to signed zero */ stickybit = inexact; Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit, stickybit,inexact); /* return rounded number */ if (inexact) { switch (Rounding_mode()) { case ROUNDPLUS: if (Dbl_iszero_sign(resultp1)) { Dbl_increment(opnd3p1,opnd3p2); } break; case ROUNDMINUS: if (Dbl_isone_sign(resultp1)) { Dbl_increment(opnd3p1,opnd3p2); } break; case ROUNDNEAREST: if (guardbit && (stickybit || Dbl_isone_lowmantissap2(opnd3p2))) { Dbl_increment(opnd3p1,opnd3p2); } break; } if (is_tiny) Set_underflowflag(); } Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2); } else Dbl_set_exponent(resultp1,dest_exponent); Dbl_copytoptr(resultp1,resultp2,dstptr); /* check for inexact */ if (inexact) { if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); else Set_inexactflag(); } return(NOEXCEPTION); }