/* $OpenBSD: sfmpy.c,v 1.3 1998/07/02 19:05:58 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 Precision Floating-point Multiply */ int sgl_fmpy(srcptr1,srcptr2,dstptr,status) sgl_floating_point *srcptr1, *srcptr2, *dstptr; unsigned int *status; { register unsigned int opnd1, opnd2, opnd3, result; register int dest_exponent, count; register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE; boolean is_tiny; opnd1 = *srcptr1; opnd2 = *srcptr2; /* * set sign bit of result */ if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result); else Sgl_setzero(result); /* * check first operand for NaN's or infinity */ if (Sgl_isinfinity_exponent(opnd1)) { if (Sgl_iszero_mantissa(opnd1)) { if (Sgl_isnotnan(opnd2)) { if (Sgl_iszero_exponentmantissa(opnd2)) { /* * invalid since operands are infinity * and zero */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); Set_invalidflag(); Sgl_makequietnan(result); *dstptr = result; return(NOEXCEPTION); } /* * return infinity */ Sgl_setinfinity_exponentmantissa(result); *dstptr = result; return(NOEXCEPTION); } } else { /* * is NaN; signaling or quiet? */ if (Sgl_isone_signaling(opnd1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Sgl_set_quiet(opnd1); } /* * is second operand a signaling NaN? */ else if (Sgl_is_signalingnan(opnd2)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Sgl_set_quiet(opnd2); *dstptr = opnd2; return(NOEXCEPTION); } /* * return quiet NaN */ *dstptr = opnd1; return(NOEXCEPTION); } } /* * check second operand for NaN's or infinity */ if (Sgl_isinfinity_exponent(opnd2)) { if (Sgl_iszero_mantissa(opnd2)) { if (Sgl_iszero_exponentmantissa(opnd1)) { /* invalid since operands are zero & infinity */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); Set_invalidflag(); Sgl_makequietnan(opnd2); *dstptr = opnd2; return(NOEXCEPTION); } /* * return infinity */ Sgl_setinfinity_exponentmantissa(result); *dstptr = result; return(NOEXCEPTION); } /* * is NaN; signaling or quiet? */ if (Sgl_isone_signaling(opnd2)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Sgl_set_quiet(opnd2); } /* * return quiet NaN */ *dstptr = opnd2; return(NOEXCEPTION); } /* * Generate exponent */ dest_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS; /* * Generate mantissa */ if (Sgl_isnotzero_exponent(opnd1)) { /* set hidden bit */ Sgl_clear_signexponent_set_hidden(opnd1); } else { /* check for zero */ if (Sgl_iszero_mantissa(opnd1)) { Sgl_setzero_exponentmantissa(result); *dstptr = result; return(NOEXCEPTION); } /* is denormalized, adjust exponent */ Sgl_clear_signexponent(opnd1); Sgl_leftshiftby1(opnd1); Sgl_normalize(opnd1,dest_exponent); } /* opnd2 needs to have hidden bit set with msb in hidden bit */ if (Sgl_isnotzero_exponent(opnd2)) { Sgl_clear_signexponent_set_hidden(opnd2); } else { /* check for zero */ if (Sgl_iszero_mantissa(opnd2)) { Sgl_setzero_exponentmantissa(result); *dstptr = result; return(NOEXCEPTION); } /* is denormalized; want to normalize */ Sgl_clear_signexponent(opnd2); Sgl_leftshiftby1(opnd2); Sgl_normalize(opnd2,dest_exponent); } /* Multiply two source mantissas together */ Sgl_leftshiftby4(opnd2); /* make room for guard bits */ Sgl_setzero(opnd3); /* * Four bits at a time are inspected in each loop, and a * simple shift and add multiply algorithm is used. */ for (count=1;count= 2. */ dest_exponent++; } /* check for denormalized result */ while (Sgl_iszero_sign(opnd3)) { Sgl_leftshiftby1(opnd3); dest_exponent--; } /* * check for guard, sticky and inexact bits */ stickybit |= Sgl_all(opnd3) << (SGL_BITLENGTH - SGL_EXP_LENGTH + 1); guardbit = Sbit24(opnd3); inexact = guardbit | stickybit; /* re-align mantissa */ Sgl_rightshiftby8(opnd3); /* * round result */ if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) { Sgl_clear_signexponent(opnd3); switch (Rounding_mode()) { case ROUNDPLUS: if (Sgl_iszero_sign(result)) Sgl_increment(opnd3); break; case ROUNDMINUS: if (Sgl_isone_sign(result)) Sgl_increment(opnd3); break; case ROUNDNEAREST: if (guardbit) { if (stickybit || Sgl_isone_lowmantissa(opnd3)) Sgl_increment(opnd3); } } if (Sgl_isone_hidden(opnd3)) dest_exponent++; } Sgl_set_mantissa(result,opnd3); /* * Test for overflow */ if (dest_exponent >= SGL_INFINITY_EXPONENT) { /* trap if OVERFLOWTRAP enabled */ if (Is_overflowtrap_enabled()) { /* * Adjust bias of result */ Sgl_setwrapped_exponent(result,dest_exponent,ovfl); *dstptr = result; if (inexact) { if (Is_inexacttrap_enabled()) return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); else Set_inexactflag(); } return(OVERFLOWEXCEPTION); } inexact = TRUE; Set_overflowflag(); /* set result to infinity or largest number */ Sgl_setoverflow(result); } /* * Test for underflow */ else if (dest_exponent <= 0) { /* trap if UNDERFLOWTRAP enabled */ if (Is_underflowtrap_enabled()) { /* * Adjust bias of result */ Sgl_setwrapped_exponent(result,dest_exponent,unfl); *dstptr = result; 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 (Sgl_iszero_sign(result)) { Sgl_increment(opnd3); if (Sgl_isone_hiddenoverflow(opnd3)) is_tiny = FALSE; Sgl_decrement(opnd3); } break; case ROUNDMINUS: if (Sgl_isone_sign(result)) { Sgl_increment(opnd3); if (Sgl_isone_hiddenoverflow(opnd3)) is_tiny = FALSE; Sgl_decrement(opnd3); } break; case ROUNDNEAREST: if (guardbit && (stickybit || Sgl_isone_lowmantissa(opnd3))) { Sgl_increment(opnd3); if (Sgl_isone_hiddenoverflow(opnd3)) is_tiny = FALSE; Sgl_decrement(opnd3); } break; } } /* * denormalize result or set to signed zero */ stickybit = inexact; Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact); /* return zero or smallest number */ if (inexact) { switch (Rounding_mode()) { case ROUNDPLUS: if (Sgl_iszero_sign(result)) { Sgl_increment(opnd3); } break; case ROUNDMINUS: if (Sgl_isone_sign(result)) { Sgl_increment(opnd3); } break; case ROUNDNEAREST: if (guardbit && (stickybit || Sgl_isone_lowmantissa(opnd3))) { Sgl_increment(opnd3); } break; } if (is_tiny) Set_underflowflag(); } Sgl_set_exponentmantissa(result,opnd3); } else Sgl_set_exponent(result,dest_exponent); *dstptr = result; /* check for inexact */ if (inexact) { if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); else Set_inexactflag(); } return(NOEXCEPTION); }