/* $OpenBSD: dfsqrt.c,v 1.3 1998/07/02 19:05:04 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 Floating-point Square Root */ /*ARGSUSED*/ int dbl_fsqrt(srcptr,nullptr,dstptr,status) dbl_floating_point *srcptr, *dstptr; void *nullptr; unsigned int *status; { register unsigned int srcp1, srcp2, resultp1, resultp2; register unsigned int newbitp1, newbitp2, sump1, sump2; register int src_exponent; register boolean guardbit = FALSE, even_exponent; Dbl_copyfromptr(srcptr,srcp1,srcp2); /* * check source operand for NaN or infinity */ if ((src_exponent = Dbl_exponent(srcp1)) == DBL_INFINITY_EXPONENT) { /* * is signaling NaN? */ if (Dbl_isone_signaling(srcp1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_set_quiet(srcp1); } /* * Return quiet NaN or positive infinity. * Fall thru to negative test if negative infinity. */ if (Dbl_iszero_sign(srcp1) || Dbl_isnotzero_mantissa(srcp1,srcp2)) { Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } } /* * check for zero source operand */ if (Dbl_iszero_exponentmantissa(srcp1,srcp2)) { Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } /* * check for negative source operand */ if (Dbl_isone_sign(srcp1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_makequietnan(srcp1,srcp2); Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } /* * Generate result */ if (src_exponent > 0) { even_exponent = Dbl_hidden(srcp1); Dbl_clear_signexponent_set_hidden(srcp1); } else { /* normalize operand */ Dbl_clear_signexponent(srcp1); src_exponent++; Dbl_normalize(srcp1,srcp2,src_exponent); even_exponent = src_exponent & 1; } if (even_exponent) { /* exponent is even */ /* Add comment here. Explain why odd exponent needs correction */ Dbl_leftshiftby1(srcp1,srcp2); } /* * Add comment here. Explain following algorithm. * * Trust me, it works. * */ Dbl_setzero(resultp1,resultp2); Dbl_allp1(newbitp1) = 1 << (DBL_P - 32); Dbl_setzero_mantissap2(newbitp2); while (Dbl_isnotzero(newbitp1,newbitp2) && Dbl_isnotzero(srcp1,srcp2)) { Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,sump1,sump2); if(Dbl_isnotgreaterthan(sump1,sump2,srcp1,srcp2)) { Dbl_leftshiftby1(newbitp1,newbitp2); /* update result */ Dbl_addition(resultp1,resultp2,newbitp1,newbitp2, resultp1,resultp2); Dbl_subtract(srcp1,srcp2,sump1,sump2,srcp1,srcp2); Dbl_rightshiftby2(newbitp1,newbitp2); } else { Dbl_rightshiftby1(newbitp1,newbitp2); } Dbl_leftshiftby1(srcp1,srcp2); } /* correct exponent for pre-shift */ if (even_exponent) { Dbl_rightshiftby1(resultp1,resultp2); } /* check for inexact */ if (Dbl_isnotzero(srcp1,srcp2)) { if (!even_exponent & Dbl_islessthan(resultp1,resultp2,srcp1,srcp2)) { Dbl_increment(resultp1,resultp2); } guardbit = Dbl_lowmantissap2(resultp2); Dbl_rightshiftby1(resultp1,resultp2); /* now round result */ switch (Rounding_mode()) { case ROUNDPLUS: Dbl_increment(resultp1,resultp2); break; case ROUNDNEAREST: /* stickybit is always true, so guardbit * is enough to determine rounding */ if (guardbit) { Dbl_increment(resultp1,resultp2); } break; } /* increment result exponent by 1 if mantissa overflowed */ if (Dbl_isone_hiddenoverflow(resultp1)) src_exponent+=2; if (Is_inexacttrap_enabled()) { Dbl_set_exponent(resultp1, ((src_exponent-DBL_BIAS)>>1)+DBL_BIAS); Dbl_copytoptr(resultp1,resultp2,dstptr); return(INEXACTEXCEPTION); } else Set_inexactflag(); } else { Dbl_rightshiftby1(resultp1,resultp2); } Dbl_set_exponent(resultp1,((src_exponent-DBL_BIAS)>>1)+DBL_BIAS); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); }