/* $OpenBSD: sfsqrt.c,v 1.5 2001/03/29 03:58:19 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/sgl_float.h" /* * Single Floating-point Square Root */ /*ARGSUSED*/ int sgl_fsqrt(srcptr,dstptr,status) sgl_floating_point *srcptr, *dstptr; unsigned int *status; { register unsigned int src, result; register int src_exponent, newbit, sum; register int guardbit = FALSE, even_exponent; src = *srcptr; /* * check source operand for NaN or infinity */ if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) { /* * is signaling NaN? */ if (Sgl_isone_signaling(src)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Sgl_set_quiet(src); } /* * Return quiet NaN or positive infinity. * Fall thru to negative test if negative infinity. */ if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) { *dstptr = src; return(NOEXCEPTION); } } /* * check for zero source operand */ if (Sgl_iszero_exponentmantissa(src)) { *dstptr = src; return(NOEXCEPTION); } /* * check for negative source operand */ if (Sgl_isone_sign(src)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Sgl_makequietnan(src); *dstptr = src; return(NOEXCEPTION); } /* * Generate result */ if (src_exponent > 0) { even_exponent = Sgl_hidden(src); Sgl_clear_signexponent_set_hidden(src); } else { /* normalize operand */ Sgl_clear_signexponent(src); src_exponent++; Sgl_normalize(src,src_exponent); even_exponent = src_exponent & 1; } if (even_exponent) { /* exponent is even */ /* Add comment here. Explain why odd exponent needs correction */ Sgl_leftshiftby1(src); } /* * Add comment here. Explain following algorithm. * * Trust me, it works. * */ Sgl_setzero(result); newbit = 1 << SGL_P; while (newbit && Sgl_isnotzero(src)) { Sgl_addition(result,newbit,sum); if(sum <= Sgl_all(src)) { /* update result */ Sgl_addition(result,(newbit<<1),result); Sgl_subtract(src,sum,src); } Sgl_rightshiftby1(newbit); Sgl_leftshiftby1(src); } /* correct exponent for pre-shift */ if (even_exponent) { Sgl_rightshiftby1(result); } /* check for inexact */ if (Sgl_isnotzero(src)) { if (!even_exponent & Sgl_islessthan(result,src)) Sgl_increment(result); guardbit = Sgl_lowmantissa(result); Sgl_rightshiftby1(result); /* now round result */ switch (Rounding_mode()) { case ROUNDPLUS: Sgl_increment(result); break; case ROUNDNEAREST: /* stickybit is always true, so guardbit * is enough to determine rounding */ if (guardbit) { Sgl_increment(result); } break; } /* increment result exponent by 1 if mantissa overflowed */ if (Sgl_isone_hiddenoverflow(result)) src_exponent+=2; if (Is_inexacttrap_enabled()) { Sgl_set_exponent(result, ((src_exponent-SGL_BIAS)>>1)+SGL_BIAS); *dstptr = result; return(INEXACTEXCEPTION); } else Set_inexactflag(); } else { Sgl_rightshiftby1(result); } Sgl_set_exponent(result,((src_exponent-SGL_BIAS)>>1)+SGL_BIAS); *dstptr = result; return(NOEXCEPTION); }