xref: /freebsd/sys/powerpc/include/ieee.h (revision 4e84a94d6bcd23e1a4198297b26790c9ed32caa7)
14e84a94dSPeter Grehan /*
24e84a94dSPeter Grehan  * Copyright (c) 1992, 1993
34e84a94dSPeter Grehan  *	The Regents of the University of California.  All rights reserved.
44e84a94dSPeter Grehan  *
54e84a94dSPeter Grehan  * This software was developed by the Computer Systems Engineering group
64e84a94dSPeter Grehan  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
74e84a94dSPeter Grehan  * contributed to Berkeley.
84e84a94dSPeter Grehan  *
94e84a94dSPeter Grehan  * All advertising materials mentioning features or use of this software
104e84a94dSPeter Grehan  * must display the following acknowledgement:
114e84a94dSPeter Grehan  *	This product includes software developed by the University of
124e84a94dSPeter Grehan  *	California, Lawrence Berkeley Laboratory.
134e84a94dSPeter Grehan  *
144e84a94dSPeter Grehan  * Redistribution and use in source and binary forms, with or without
154e84a94dSPeter Grehan  * modification, are permitted provided that the following conditions
164e84a94dSPeter Grehan  * are met:
174e84a94dSPeter Grehan  * 1. Redistributions of source code must retain the above copyright
184e84a94dSPeter Grehan  *    notice, this list of conditions and the following disclaimer.
194e84a94dSPeter Grehan  * 2. Redistributions in binary form must reproduce the above copyright
204e84a94dSPeter Grehan  *    notice, this list of conditions and the following disclaimer in the
214e84a94dSPeter Grehan  *    documentation and/or other materials provided with the distribution.
224e84a94dSPeter Grehan  * 3. All advertising materials mentioning features or use of this software
234e84a94dSPeter Grehan  *    must display the following acknowledgement:
244e84a94dSPeter Grehan  *	This product includes software developed by the University of
254e84a94dSPeter Grehan  *	California, Berkeley and its contributors.
264e84a94dSPeter Grehan  * 4. Neither the name of the University nor the names of its contributors
274e84a94dSPeter Grehan  *    may be used to endorse or promote products derived from this software
284e84a94dSPeter Grehan  *    without specific prior written permission.
294e84a94dSPeter Grehan  *
304e84a94dSPeter Grehan  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
314e84a94dSPeter Grehan  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
324e84a94dSPeter Grehan  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
334e84a94dSPeter Grehan  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
344e84a94dSPeter Grehan  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
354e84a94dSPeter Grehan  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
364e84a94dSPeter Grehan  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
374e84a94dSPeter Grehan  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
384e84a94dSPeter Grehan  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
394e84a94dSPeter Grehan  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
404e84a94dSPeter Grehan  * SUCH DAMAGE.
414e84a94dSPeter Grehan  *
424e84a94dSPeter Grehan  *	@(#)ieee.h	8.1 (Berkeley) 6/11/93
434e84a94dSPeter Grehan  *	from: NetBSD: ieee.h,v 1.1.1.1 1998/06/20 04:58:51 eeh Exp
444e84a94dSPeter Grehan  * $FreeBSD$
454e84a94dSPeter Grehan  */
464e84a94dSPeter Grehan 
474e84a94dSPeter Grehan #ifndef _MACHINE_IEEE_H_
484e84a94dSPeter Grehan #define	_MACHINE_IEEE_H_
494e84a94dSPeter Grehan 
504e84a94dSPeter Grehan /*
514e84a94dSPeter Grehan  * ieee.h defines the machine-dependent layout of the machine's IEEE
524e84a94dSPeter Grehan  * floating point.  It does *not* define (yet?) any of the rounding
534e84a94dSPeter Grehan  * mode bits, exceptions, and so forth.
544e84a94dSPeter Grehan  */
554e84a94dSPeter Grehan 
564e84a94dSPeter Grehan /*
574e84a94dSPeter Grehan  * Define the number of bits in each fraction and exponent.
584e84a94dSPeter Grehan  *
594e84a94dSPeter Grehan  *		     k	         k+1
604e84a94dSPeter Grehan  * Note that  1.0 x 2  == 0.1 x 2      and that denorms are represented
614e84a94dSPeter Grehan  *
624e84a94dSPeter Grehan  *					  (-exp_bias+1)
634e84a94dSPeter Grehan  * as fractions that look like 0.fffff x 2             .  This means that
644e84a94dSPeter Grehan  *
654e84a94dSPeter Grehan  *			 -126
664e84a94dSPeter Grehan  * the number 0.10000 x 2    , for instance, is the same as the normalized
674e84a94dSPeter Grehan  *
684e84a94dSPeter Grehan  *		-127			   -128
694e84a94dSPeter Grehan  * float 1.0 x 2    .  Thus, to represent 2    , we need one leading zero
704e84a94dSPeter Grehan  *
714e84a94dSPeter Grehan  *				  -129
724e84a94dSPeter Grehan  * in the fraction; to represent 2    , we need two, and so on.  This
734e84a94dSPeter Grehan  *
744e84a94dSPeter Grehan  *						     (-exp_bias-fracbits+1)
754e84a94dSPeter Grehan  * implies that the smallest denormalized number is 2
764e84a94dSPeter Grehan  *
774e84a94dSPeter Grehan  * for whichever format we are talking about: for single precision, for
784e84a94dSPeter Grehan  *
794e84a94dSPeter Grehan  *						-126		-149
804e84a94dSPeter Grehan  * instance, we get .00000000000000000000001 x 2    , or 1.0 x 2    , and
814e84a94dSPeter Grehan  *
824e84a94dSPeter Grehan  * -149 == -127 - 23 + 1.
834e84a94dSPeter Grehan  */
844e84a94dSPeter Grehan #define	SNG_EXPBITS	8
854e84a94dSPeter Grehan #define	SNG_FRACBITS	23
864e84a94dSPeter Grehan 
874e84a94dSPeter Grehan #define	DBL_EXPBITS	11
884e84a94dSPeter Grehan #define	DBL_FRACBITS	52
894e84a94dSPeter Grehan 
904e84a94dSPeter Grehan #ifdef notyet
914e84a94dSPeter Grehan #define	E80_EXPBITS	15
924e84a94dSPeter Grehan #define	E80_FRACBITS	64
934e84a94dSPeter Grehan #endif
944e84a94dSPeter Grehan 
954e84a94dSPeter Grehan #define	EXT_EXPBITS	15
964e84a94dSPeter Grehan #define	EXT_FRACBITS	112
974e84a94dSPeter Grehan 
984e84a94dSPeter Grehan struct ieee_single {
994e84a94dSPeter Grehan 	u_int	sng_sign:1;
1004e84a94dSPeter Grehan 	u_int	sng_exp:8;
1014e84a94dSPeter Grehan 	u_int	sng_frac:23;
1024e84a94dSPeter Grehan };
1034e84a94dSPeter Grehan 
1044e84a94dSPeter Grehan struct ieee_double {
1054e84a94dSPeter Grehan 	u_int	dbl_sign:1;
1064e84a94dSPeter Grehan 	u_int	dbl_exp:11;
1074e84a94dSPeter Grehan 	u_int	dbl_frach:20;
1084e84a94dSPeter Grehan 	u_int	dbl_fracl;
1094e84a94dSPeter Grehan };
1104e84a94dSPeter Grehan 
1114e84a94dSPeter Grehan struct ieee_ext {
1124e84a94dSPeter Grehan 	u_int	ext_sign:1;
1134e84a94dSPeter Grehan 	u_int	ext_exp:15;
1144e84a94dSPeter Grehan 	u_int	ext_frach:16;
1154e84a94dSPeter Grehan 	u_int	ext_frachm;
1164e84a94dSPeter Grehan 	u_int	ext_fraclm;
1174e84a94dSPeter Grehan 	u_int	ext_fracl;
1184e84a94dSPeter Grehan };
1194e84a94dSPeter Grehan 
1204e84a94dSPeter Grehan /*
1214e84a94dSPeter Grehan  * Floats whose exponent is in [1..INFNAN) (of whatever type) are
1224e84a94dSPeter Grehan  * `normal'.  Floats whose exponent is INFNAN are either Inf or NaN.
1234e84a94dSPeter Grehan  * Floats whose exponent is zero are either zero (iff all fraction
1244e84a94dSPeter Grehan  * bits are zero) or subnormal values.
1254e84a94dSPeter Grehan  *
1264e84a94dSPeter Grehan  * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
1274e84a94dSPeter Grehan  * high fraction; if the bit is set, it is a `quiet NaN'.
1284e84a94dSPeter Grehan  */
1294e84a94dSPeter Grehan #define	SNG_EXP_INFNAN	255
1304e84a94dSPeter Grehan #define	DBL_EXP_INFNAN	2047
1314e84a94dSPeter Grehan #define	EXT_EXP_INFNAN	32767
1324e84a94dSPeter Grehan 
1334e84a94dSPeter Grehan #if 0
1344e84a94dSPeter Grehan #define	SNG_QUIETNAN	(1 << 22)
1354e84a94dSPeter Grehan #define	DBL_QUIETNAN	(1 << 19)
1364e84a94dSPeter Grehan #define	EXT_QUIETNAN	(1 << 15)
1374e84a94dSPeter Grehan #endif
1384e84a94dSPeter Grehan 
1394e84a94dSPeter Grehan /*
1404e84a94dSPeter Grehan  * Exponent biases.
1414e84a94dSPeter Grehan  */
1424e84a94dSPeter Grehan #define	SNG_EXP_BIAS	127
1434e84a94dSPeter Grehan #define	DBL_EXP_BIAS	1023
1444e84a94dSPeter Grehan #define	EXT_EXP_BIAS	16383
1454e84a94dSPeter Grehan 
1464e84a94dSPeter Grehan #endif
147