/* $OpenBSD: dfrem.c,v 1.3 1998/07/02 19:05:03 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 Remainder */ int dbl_frem(srcptr1,srcptr2,dstptr,status) dbl_floating_point *srcptr1, *srcptr2, *dstptr; unsigned int *status; { register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2; register unsigned int resultp1, resultp2; register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount; register boolean roundup = FALSE; Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2); Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2); /* * check first operand for NaN's or infinity */ if ((opnd1_exponent = Dbl_exponent(opnd1p1)) == DBL_INFINITY_EXPONENT) { if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { if (Dbl_isnotnan(opnd2p1,opnd2p2)) { /* invalid since first operand is infinity */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); Set_invalidflag(); Dbl_makequietnan(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 ((opnd2_exponent = Dbl_exponent(opnd2p1)) == DBL_INFINITY_EXPONENT) { if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { /* * return first operand */ Dbl_copytoptr(opnd1p1,opnd1p2,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 second operand for zero */ if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) { /* invalid since second operand is zero */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); Set_invalidflag(); Dbl_makequietnan(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* * get sign of result */ resultp1 = opnd1p1; /* * check for denormalized operands */ if (opnd1_exponent == 0) { /* check for zero */ if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); return(NOEXCEPTION); } /* normalize, then continue */ opnd1_exponent = 1; Dbl_normalize(opnd1p1,opnd1p2,opnd1_exponent); } else { Dbl_clear_signexponent_set_hidden(opnd1p1); } if (opnd2_exponent == 0) { /* normalize, then continue */ opnd2_exponent = 1; Dbl_normalize(opnd2p1,opnd2p2,opnd2_exponent); } else { Dbl_clear_signexponent_set_hidden(opnd2p1); } /* find result exponent and divide step loop count */ dest_exponent = opnd2_exponent - 1; stepcount = opnd1_exponent - opnd2_exponent; /* * check for opnd1/opnd2 < 1 */ if (stepcount < 0) { /* * check for opnd1/opnd2 > 1/2 * * In this case n will round to 1, so * r = opnd1 - opnd2 */ if (stepcount == -1 && Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { /* set sign */ Dbl_allp1(resultp1) = ~Dbl_allp1(resultp1); /* align opnd2 with opnd1 */ Dbl_leftshiftby1(opnd2p1,opnd2p2); Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2, opnd2p1,opnd2p2); /* now normalize */ while (Dbl_iszero_hidden(opnd2p1)) { Dbl_leftshiftby1(opnd2p1,opnd2p2); dest_exponent--; } Dbl_set_exponentmantissa(resultp1,resultp2,opnd2p1,opnd2p2); goto testforunderflow; } /* * opnd1/opnd2 <= 1/2 * * In this case n will round to zero, so * r = opnd1 */ Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2); dest_exponent = opnd1_exponent; goto testforunderflow; } /* * Generate result * * Do iterative subtract until remainder is less than operand 2. */ while (stepcount-- > 0 && (Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2))) { if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2); } Dbl_leftshiftby1(opnd1p1,opnd1p2); } /* * Do last subtract, then determine which way to round if remainder * is exactly 1/2 of opnd2 */ if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2); roundup = TRUE; } if (stepcount > 0 || Dbl_iszero(opnd1p1,opnd1p2)) { /* division is exact, remainder is zero */ Dbl_setzero_exponentmantissa(resultp1,resultp2); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } /* * Check for cases where opnd1/opnd2 < n * * In this case the result's sign will be opposite that of * opnd1. The mantissa also needs some correction. */ Dbl_leftshiftby1(opnd1p1,opnd1p2); if (Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { Dbl_invert_sign(resultp1); Dbl_leftshiftby1(opnd2p1,opnd2p2); Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,opnd1p1,opnd1p2); } /* check for remainder being exactly 1/2 of opnd2 */ else if (Dbl_isequal(opnd1p1,opnd1p2,opnd2p1,opnd2p2) && roundup) { Dbl_invert_sign(resultp1); } /* normalize result's mantissa */ while (Dbl_iszero_hidden(opnd1p1)) { dest_exponent--; Dbl_leftshiftby1(opnd1p1,opnd1p2); } Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2); /* * Test for underflow */ testforunderflow: if (dest_exponent <= 0) { /* trap if UNDERFLOWTRAP enabled */ if (Is_underflowtrap_enabled()) { /* * Adjust bias of result */ Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl); /* frem is always exact */ Dbl_copytoptr(resultp1,resultp2,dstptr); return(UNDERFLOWEXCEPTION); } /* * denormalize result or set to signed zero */ if (dest_exponent >= (1 - DBL_P)) { Dbl_rightshift_exponentmantissa(resultp1,resultp2, 1-dest_exponent); } else { Dbl_setzero_exponentmantissa(resultp1,resultp2); } } else Dbl_set_exponent(resultp1,dest_exponent); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); }