Home | History | Annotate | Line # | Download | only in spmath
sfdiv.c revision 1.5
      1  1.5     skrll /*	$NetBSD: sfdiv.c,v 1.5 2012/02/04 17:03:10 skrll Exp $	*/
      2  1.1  fredette 
      3  1.1  fredette /*	$OpenBSD: sfdiv.c,v 1.4 2001/03/29 03:58:19 mickey Exp $	*/
      4  1.1  fredette 
      5  1.1  fredette /*
      6  1.1  fredette  * Copyright 1996 1995 by Open Software Foundation, Inc.
      7  1.1  fredette  *              All Rights Reserved
      8  1.1  fredette  *
      9  1.1  fredette  * Permission to use, copy, modify, and distribute this software and
     10  1.1  fredette  * its documentation for any purpose and without fee is hereby granted,
     11  1.1  fredette  * provided that the above copyright notice appears in all copies and
     12  1.1  fredette  * that both the copyright notice and this permission notice appear in
     13  1.1  fredette  * supporting documentation.
     14  1.1  fredette  *
     15  1.1  fredette  * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
     16  1.1  fredette  * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
     17  1.1  fredette  * FOR A PARTICULAR PURPOSE.
     18  1.1  fredette  *
     19  1.1  fredette  * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
     20  1.1  fredette  * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
     21  1.1  fredette  * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
     22  1.1  fredette  * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
     23  1.1  fredette  * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
     24  1.1  fredette  *
     25  1.1  fredette  */
     26  1.1  fredette /*
     27  1.1  fredette  * pmk1.1
     28  1.1  fredette  */
     29  1.1  fredette /*
     30  1.1  fredette  * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
     31  1.1  fredette  *
     32  1.1  fredette  * To anyone who acknowledges that this file is provided "AS IS"
     33  1.1  fredette  * without any express or implied warranty:
     34  1.1  fredette  *     permission to use, copy, modify, and distribute this file
     35  1.1  fredette  * for any purpose is hereby granted without fee, provided that
     36  1.1  fredette  * the above copyright notice and this notice appears in all
     37  1.1  fredette  * copies, and that the name of Hewlett-Packard Company not be
     38  1.1  fredette  * used in advertising or publicity pertaining to distribution
     39  1.1  fredette  * of the software without specific, written prior permission.
     40  1.1  fredette  * Hewlett-Packard Company makes no representations about the
     41  1.1  fredette  * suitability of this software for any purpose.
     42  1.1  fredette  */
     43  1.2     lukem 
     44  1.2     lukem #include <sys/cdefs.h>
     45  1.5     skrll __KERNEL_RCSID(0, "$NetBSD: sfdiv.c,v 1.5 2012/02/04 17:03:10 skrll Exp $");
     46  1.1  fredette 
     47  1.1  fredette #include "../spmath/float.h"
     48  1.1  fredette #include "../spmath/sgl_float.h"
     49  1.1  fredette 
     50  1.1  fredette /*
     51  1.1  fredette  *  Single Precision Floating-point Divide
     52  1.1  fredette  */
     53  1.1  fredette int
     54  1.5     skrll sgl_fdiv(sgl_floating_point *srcptr1, sgl_floating_point *srcptr2,
     55  1.5     skrll     sgl_floating_point *dstptr, unsigned int *status)
     56  1.1  fredette {
     57  1.1  fredette 	register unsigned int opnd1, opnd2, opnd3, result;
     58  1.1  fredette 	register int dest_exponent, count;
     59  1.4   thorpej 	register int inexact = false, guardbit = false, stickybit = false;
     60  1.1  fredette 	int is_tiny;
     61  1.1  fredette 
     62  1.1  fredette 	opnd1 = *srcptr1;
     63  1.1  fredette 	opnd2 = *srcptr2;
     64  1.1  fredette 	/*
     65  1.1  fredette 	 * set sign bit of result
     66  1.1  fredette 	 */
     67  1.1  fredette 	if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result);
     68  1.1  fredette 	else Sgl_setzero(result);
     69  1.1  fredette 	/*
     70  1.1  fredette 	 * check first operand for NaN's or infinity
     71  1.1  fredette 	 */
     72  1.1  fredette 	if (Sgl_isinfinity_exponent(opnd1)) {
     73  1.1  fredette 		if (Sgl_iszero_mantissa(opnd1)) {
     74  1.1  fredette 			if (Sgl_isnotnan(opnd2)) {
     75  1.1  fredette 				if (Sgl_isinfinity(opnd2)) {
     76  1.1  fredette 					/*
     77  1.1  fredette 					 * invalid since both operands
     78  1.1  fredette 					 * are infinity
     79  1.1  fredette 					 */
     80  1.1  fredette 					if (Is_invalidtrap_enabled())
     81  1.1  fredette 						return(INVALIDEXCEPTION);
     82  1.1  fredette 					Set_invalidflag();
     83  1.1  fredette 					Sgl_makequietnan(result);
     84  1.1  fredette 					*dstptr = result;
     85  1.1  fredette 					return(NOEXCEPTION);
     86  1.1  fredette 				}
     87  1.1  fredette 				/*
     88  1.1  fredette 				 * return infinity
     89  1.1  fredette 				 */
     90  1.1  fredette 				Sgl_setinfinity_exponentmantissa(result);
     91  1.1  fredette 				*dstptr = result;
     92  1.1  fredette 				return(NOEXCEPTION);
     93  1.1  fredette 			}
     94  1.1  fredette 		}
     95  1.1  fredette 		else {
     96  1.1  fredette 			/*
     97  1.1  fredette 			 * is NaN; signaling or quiet?
     98  1.1  fredette 			 */
     99  1.1  fredette 			if (Sgl_isone_signaling(opnd1)) {
    100  1.1  fredette 				/* trap if INVALIDTRAP enabled */
    101  1.1  fredette 				if (Is_invalidtrap_enabled())
    102  1.1  fredette 					return(INVALIDEXCEPTION);
    103  1.1  fredette 				/* make NaN quiet */
    104  1.1  fredette 				Set_invalidflag();
    105  1.1  fredette 				Sgl_set_quiet(opnd1);
    106  1.1  fredette 			}
    107  1.1  fredette 			/*
    108  1.1  fredette 			 * is second operand a signaling NaN?
    109  1.1  fredette 			 */
    110  1.1  fredette 			else if (Sgl_is_signalingnan(opnd2)) {
    111  1.1  fredette 				/* trap if INVALIDTRAP enabled */
    112  1.1  fredette 				if (Is_invalidtrap_enabled())
    113  1.1  fredette 					return(INVALIDEXCEPTION);
    114  1.1  fredette 				/* make NaN quiet */
    115  1.1  fredette 				Set_invalidflag();
    116  1.1  fredette 				Sgl_set_quiet(opnd2);
    117  1.1  fredette 				*dstptr = opnd2;
    118  1.1  fredette 				return(NOEXCEPTION);
    119  1.1  fredette 			}
    120  1.1  fredette 			/*
    121  1.1  fredette 			 * return quiet NaN
    122  1.1  fredette 			 */
    123  1.1  fredette 			*dstptr = opnd1;
    124  1.1  fredette 			return(NOEXCEPTION);
    125  1.1  fredette 		}
    126  1.1  fredette 	}
    127  1.1  fredette 	/*
    128  1.1  fredette 	 * check second operand for NaN's or infinity
    129  1.1  fredette 	 */
    130  1.1  fredette 	if (Sgl_isinfinity_exponent(opnd2)) {
    131  1.1  fredette 		if (Sgl_iszero_mantissa(opnd2)) {
    132  1.1  fredette 			/*
    133  1.1  fredette 			 * return zero
    134  1.1  fredette 			 */
    135  1.1  fredette 			Sgl_setzero_exponentmantissa(result);
    136  1.1  fredette 			*dstptr = result;
    137  1.1  fredette 			return(NOEXCEPTION);
    138  1.1  fredette 		}
    139  1.1  fredette 		/*
    140  1.1  fredette 		 * is NaN; signaling or quiet?
    141  1.1  fredette 		 */
    142  1.1  fredette 		if (Sgl_isone_signaling(opnd2)) {
    143  1.1  fredette 			/* trap if INVALIDTRAP enabled */
    144  1.1  fredette 			if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
    145  1.1  fredette 			/* make NaN quiet */
    146  1.1  fredette 			Set_invalidflag();
    147  1.1  fredette 			Sgl_set_quiet(opnd2);
    148  1.1  fredette 		}
    149  1.1  fredette 		/*
    150  1.1  fredette 		 * return quiet NaN
    151  1.1  fredette 		 */
    152  1.1  fredette 		*dstptr = opnd2;
    153  1.1  fredette 		return(NOEXCEPTION);
    154  1.1  fredette 	}
    155  1.1  fredette 	/*
    156  1.1  fredette 	 * check for division by zero
    157  1.1  fredette 	 */
    158  1.1  fredette 	if (Sgl_iszero_exponentmantissa(opnd2)) {
    159  1.1  fredette 		if (Sgl_iszero_exponentmantissa(opnd1)) {
    160  1.1  fredette 			/* invalid since both operands are zero */
    161  1.1  fredette 			if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
    162  1.1  fredette 			Set_invalidflag();
    163  1.1  fredette 			Sgl_makequietnan(result);
    164  1.1  fredette 			*dstptr = result;
    165  1.1  fredette 			return(NOEXCEPTION);
    166  1.1  fredette 		}
    167  1.1  fredette 		if (Is_divisionbyzerotrap_enabled())
    168  1.1  fredette 			return(DIVISIONBYZEROEXCEPTION);
    169  1.1  fredette 		Set_divisionbyzeroflag();
    170  1.1  fredette 		Sgl_setinfinity_exponentmantissa(result);
    171  1.1  fredette 		*dstptr = result;
    172  1.1  fredette 		return(NOEXCEPTION);
    173  1.1  fredette 	}
    174  1.1  fredette 	/*
    175  1.1  fredette 	 * Generate exponent
    176  1.1  fredette 	 */
    177  1.1  fredette 	dest_exponent = Sgl_exponent(opnd1) - Sgl_exponent(opnd2) + SGL_BIAS;
    178  1.1  fredette 
    179  1.1  fredette 	/*
    180  1.1  fredette 	 * Generate mantissa
    181  1.1  fredette 	 */
    182  1.1  fredette 	if (Sgl_isnotzero_exponent(opnd1)) {
    183  1.1  fredette 		/* set hidden bit */
    184  1.1  fredette 		Sgl_clear_signexponent_set_hidden(opnd1);
    185  1.1  fredette 	}
    186  1.1  fredette 	else {
    187  1.1  fredette 		/* check for zero */
    188  1.1  fredette 		if (Sgl_iszero_mantissa(opnd1)) {
    189  1.1  fredette 			Sgl_setzero_exponentmantissa(result);
    190  1.1  fredette 			*dstptr = result;
    191  1.1  fredette 			return(NOEXCEPTION);
    192  1.1  fredette 		}
    193  1.1  fredette 		/* is denormalized; want to normalize */
    194  1.1  fredette 		Sgl_clear_signexponent(opnd1);
    195  1.1  fredette 		Sgl_leftshiftby1(opnd1);
    196  1.1  fredette 		Sgl_normalize(opnd1,dest_exponent);
    197  1.1  fredette 	}
    198  1.1  fredette 	/* opnd2 needs to have hidden bit set with msb in hidden bit */
    199  1.1  fredette 	if (Sgl_isnotzero_exponent(opnd2)) {
    200  1.1  fredette 		Sgl_clear_signexponent_set_hidden(opnd2);
    201  1.1  fredette 	}
    202  1.1  fredette 	else {
    203  1.1  fredette 		/* is denormalized; want to normalize */
    204  1.1  fredette 		Sgl_clear_signexponent(opnd2);
    205  1.1  fredette 		Sgl_leftshiftby1(opnd2);
    206  1.1  fredette 		while(Sgl_iszero_hiddenhigh7mantissa(opnd2)) {
    207  1.1  fredette 			Sgl_leftshiftby8(opnd2);
    208  1.1  fredette 			dest_exponent += 8;
    209  1.1  fredette 		}
    210  1.1  fredette 		if(Sgl_iszero_hiddenhigh3mantissa(opnd2)) {
    211  1.1  fredette 			Sgl_leftshiftby4(opnd2);
    212  1.1  fredette 			dest_exponent += 4;
    213  1.1  fredette 		}
    214  1.1  fredette 		while(Sgl_iszero_hidden(opnd2)) {
    215  1.1  fredette 			Sgl_leftshiftby1(opnd2);
    216  1.1  fredette 			dest_exponent += 1;
    217  1.1  fredette 		}
    218  1.1  fredette 	}
    219  1.1  fredette 
    220  1.1  fredette 	/* Divide the source mantissas */
    221  1.1  fredette 
    222  1.1  fredette 	/*
    223  1.1  fredette 	 * A non_restoring divide algorithm is used.
    224  1.1  fredette 	 */
    225  1.1  fredette 	Sgl_subtract(opnd1,opnd2,opnd1);
    226  1.1  fredette 	Sgl_setzero(opnd3);
    227  1.1  fredette 	for (count=1;count<=SGL_P && Sgl_all(opnd1);count++) {
    228  1.1  fredette 		Sgl_leftshiftby1(opnd1);
    229  1.1  fredette 		Sgl_leftshiftby1(opnd3);
    230  1.1  fredette 		if (Sgl_iszero_sign(opnd1)) {
    231  1.1  fredette 			Sgl_setone_lowmantissa(opnd3);
    232  1.1  fredette 			Sgl_subtract(opnd1,opnd2,opnd1);
    233  1.1  fredette 		}
    234  1.1  fredette 		else Sgl_addition(opnd1,opnd2,opnd1);
    235  1.1  fredette 	}
    236  1.1  fredette 	if (count <= SGL_P) {
    237  1.1  fredette 		Sgl_leftshiftby1(opnd3);
    238  1.1  fredette 		Sgl_setone_lowmantissa(opnd3);
    239  1.1  fredette 		Sgl_leftshift(opnd3,SGL_P-count);
    240  1.1  fredette 		if (Sgl_iszero_hidden(opnd3)) {
    241  1.1  fredette 			Sgl_leftshiftby1(opnd3);
    242  1.1  fredette 			dest_exponent--;
    243  1.1  fredette 		}
    244  1.1  fredette 	}
    245  1.1  fredette 	else {
    246  1.1  fredette 		if (Sgl_iszero_hidden(opnd3)) {
    247  1.1  fredette 			/* need to get one more bit of result */
    248  1.1  fredette 			Sgl_leftshiftby1(opnd1);
    249  1.1  fredette 			Sgl_leftshiftby1(opnd3);
    250  1.1  fredette 			if (Sgl_iszero_sign(opnd1)) {
    251  1.1  fredette 				Sgl_setone_lowmantissa(opnd3);
    252  1.1  fredette 				Sgl_subtract(opnd1,opnd2,opnd1);
    253  1.1  fredette 			}
    254  1.1  fredette 			else Sgl_addition(opnd1,opnd2,opnd1);
    255  1.1  fredette 			dest_exponent--;
    256  1.1  fredette 		}
    257  1.4   thorpej 		if (Sgl_iszero_sign(opnd1)) guardbit = true;
    258  1.1  fredette 		stickybit = Sgl_all(opnd1);
    259  1.1  fredette 	}
    260  1.1  fredette 	inexact = guardbit | stickybit;
    261  1.1  fredette 
    262  1.1  fredette 	/*
    263  1.1  fredette 	 * round result
    264  1.1  fredette 	 */
    265  1.1  fredette 	if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
    266  1.1  fredette 		Sgl_clear_signexponent(opnd3);
    267  1.1  fredette 		switch (Rounding_mode()) {
    268  1.1  fredette 			case ROUNDPLUS:
    269  1.1  fredette 				if (Sgl_iszero_sign(result))
    270  1.1  fredette 					Sgl_increment_mantissa(opnd3);
    271  1.1  fredette 				break;
    272  1.1  fredette 			case ROUNDMINUS:
    273  1.1  fredette 				if (Sgl_isone_sign(result))
    274  1.1  fredette 					Sgl_increment_mantissa(opnd3);
    275  1.1  fredette 				break;
    276  1.1  fredette 			case ROUNDNEAREST:
    277  1.1  fredette 				if (guardbit &&
    278  1.1  fredette 				    (stickybit || Sgl_isone_lowmantissa(opnd3)))
    279  1.1  fredette 					Sgl_increment_mantissa(opnd3);
    280  1.1  fredette 		}
    281  1.1  fredette 		if (Sgl_isone_hidden(opnd3)) dest_exponent++;
    282  1.1  fredette 	}
    283  1.1  fredette 	Sgl_set_mantissa(result,opnd3);
    284  1.1  fredette 
    285  1.1  fredette 	/*
    286  1.1  fredette 	 * Test for overflow
    287  1.1  fredette 	 */
    288  1.1  fredette 	if (dest_exponent >= SGL_INFINITY_EXPONENT) {
    289  1.1  fredette 		/* trap if OVERFLOWTRAP enabled */
    290  1.1  fredette 		if (Is_overflowtrap_enabled()) {
    291  1.1  fredette 			/*
    292  1.1  fredette 			 * Adjust bias of result
    293  1.1  fredette 			 */
    294  1.1  fredette 			Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
    295  1.1  fredette 			*dstptr = result;
    296  1.1  fredette 			if (inexact) {
    297  1.1  fredette 			    if (Is_inexacttrap_enabled())
    298  1.1  fredette 				return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
    299  1.1  fredette 			    else Set_inexactflag();
    300  1.1  fredette 			}
    301  1.1  fredette 			return(OVERFLOWEXCEPTION);
    302  1.1  fredette 		}
    303  1.1  fredette 		Set_overflowflag();
    304  1.1  fredette 		/* set result to infinity or largest number */
    305  1.1  fredette 		Sgl_setoverflow(result);
    306  1.4   thorpej 		inexact = true;
    307  1.1  fredette 	}
    308  1.1  fredette 	/*
    309  1.1  fredette 	 * Test for underflow
    310  1.1  fredette 	 */
    311  1.1  fredette 	else if (dest_exponent <= 0) {
    312  1.1  fredette 		/* trap if UNDERFLOWTRAP enabled */
    313  1.1  fredette 		if (Is_underflowtrap_enabled()) {
    314  1.1  fredette 			/*
    315  1.1  fredette 			 * Adjust bias of result
    316  1.1  fredette 			 */
    317  1.1  fredette 			Sgl_setwrapped_exponent(result,dest_exponent,unfl);
    318  1.1  fredette 			*dstptr = result;
    319  1.1  fredette 			if (inexact) {
    320  1.1  fredette 			    if (Is_inexacttrap_enabled())
    321  1.1  fredette 				return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
    322  1.1  fredette 			    else Set_inexactflag();
    323  1.1  fredette 			}
    324  1.1  fredette 			return(UNDERFLOWEXCEPTION);
    325  1.1  fredette 		}
    326  1.1  fredette 
    327  1.1  fredette 		/* Determine if should set underflow flag */
    328  1.4   thorpej 		is_tiny = true;
    329  1.1  fredette 		if (dest_exponent == 0 && inexact) {
    330  1.1  fredette 			switch (Rounding_mode()) {
    331  1.1  fredette 			case ROUNDPLUS:
    332  1.1  fredette 				if (Sgl_iszero_sign(result)) {
    333  1.1  fredette 					Sgl_increment(opnd3);
    334  1.1  fredette 					if (Sgl_isone_hiddenoverflow(opnd3))
    335  1.4   thorpej 						is_tiny = false;
    336  1.1  fredette 					Sgl_decrement(opnd3);
    337  1.1  fredette 				}
    338  1.1  fredette 				break;
    339  1.1  fredette 			case ROUNDMINUS:
    340  1.1  fredette 				if (Sgl_isone_sign(result)) {
    341  1.1  fredette 					Sgl_increment(opnd3);
    342  1.1  fredette 					if (Sgl_isone_hiddenoverflow(opnd3))
    343  1.4   thorpej 						is_tiny = false;
    344  1.1  fredette 					Sgl_decrement(opnd3);
    345  1.1  fredette 				}
    346  1.1  fredette 				break;
    347  1.1  fredette 			case ROUNDNEAREST:
    348  1.1  fredette 				if (guardbit && (stickybit ||
    349  1.1  fredette 				    Sgl_isone_lowmantissa(opnd3))) {
    350  1.1  fredette 					Sgl_increment(opnd3);
    351  1.1  fredette 					if (Sgl_isone_hiddenoverflow(opnd3))
    352  1.4   thorpej 						is_tiny = false;
    353  1.1  fredette 					Sgl_decrement(opnd3);
    354  1.1  fredette 				}
    355  1.1  fredette 				break;
    356  1.1  fredette 			}
    357  1.1  fredette 		}
    358  1.1  fredette 
    359  1.1  fredette 		/*
    360  1.1  fredette 		 * denormalize result or set to signed zero
    361  1.1  fredette 		 */
    362  1.1  fredette 		stickybit = inexact;
    363  1.1  fredette 		Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
    364  1.1  fredette 
    365  1.1  fredette 		/* return rounded number */
    366  1.1  fredette 		if (inexact) {
    367  1.1  fredette 			switch (Rounding_mode()) {
    368  1.1  fredette 			case ROUNDPLUS:
    369  1.1  fredette 				if (Sgl_iszero_sign(result)) {
    370  1.1  fredette 					Sgl_increment(opnd3);
    371  1.1  fredette 				}
    372  1.1  fredette 				break;
    373  1.1  fredette 			case ROUNDMINUS:
    374  1.1  fredette 				if (Sgl_isone_sign(result))  {
    375  1.1  fredette 					Sgl_increment(opnd3);
    376  1.1  fredette 				}
    377  1.1  fredette 				break;
    378  1.1  fredette 			case ROUNDNEAREST:
    379  1.1  fredette 				if (guardbit && (stickybit ||
    380  1.1  fredette 				    Sgl_isone_lowmantissa(opnd3))) {
    381  1.1  fredette 					Sgl_increment(opnd3);
    382  1.1  fredette 				}
    383  1.1  fredette 				break;
    384  1.1  fredette 			}
    385  1.1  fredette 			if (is_tiny) Set_underflowflag();
    386  1.1  fredette 		}
    387  1.1  fredette 		Sgl_set_exponentmantissa(result,opnd3);
    388  1.1  fredette 	}
    389  1.1  fredette 	else Sgl_set_exponent(result,dest_exponent);
    390  1.1  fredette 	*dstptr = result;
    391  1.1  fredette 	/* check for inexact */
    392  1.1  fredette 	if (inexact) {
    393  1.1  fredette 		if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
    394  1.1  fredette 		else  Set_inexactflag();
    395  1.1  fredette 	}
    396  1.1  fredette 	return(NOEXCEPTION);
    397  1.1  fredette }
    398