xref: /openbsd-src/sys/arch/sh/include/ieee.h (revision 7b36286a70b46b494e2bca4a889ab49ef62ba86c)
1*7b36286aSmartynas /*	$OpenBSD: ieee.h,v 1.3 2008/09/07 20:36:07 martynas Exp $	*/
295c7671fSmiod 
395c7671fSmiod /*
495c7671fSmiod  * Copyright (c) 1992, 1993
595c7671fSmiod  *	The Regents of the University of California.  All rights reserved.
695c7671fSmiod  *
795c7671fSmiod  * This software was developed by the Computer Systems Engineering group
895c7671fSmiod  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
995c7671fSmiod  * contributed to Berkeley.
1095c7671fSmiod  *
1195c7671fSmiod  * All advertising materials mentioning features or use of this software
1295c7671fSmiod  * must display the following acknowledgement:
1395c7671fSmiod  *	This product includes software developed by the University of
1495c7671fSmiod  *	California, Lawrence Berkeley Laboratory.
1595c7671fSmiod  *
1695c7671fSmiod  * Redistribution and use in source and binary forms, with or without
1795c7671fSmiod  * modification, are permitted provided that the following conditions
1895c7671fSmiod  * are met:
1995c7671fSmiod  * 1. Redistributions of source code must retain the above copyright
2095c7671fSmiod  *    notice, this list of conditions and the following disclaimer.
2195c7671fSmiod  * 2. Redistributions in binary form must reproduce the above copyright
2295c7671fSmiod  *    notice, this list of conditions and the following disclaimer in the
2395c7671fSmiod  *    documentation and/or other materials provided with the distribution.
2495c7671fSmiod  * 3. Neither the name of the University nor the names of its contributors
2595c7671fSmiod  *    may be used to endorse or promote products derived from this software
2695c7671fSmiod  *    without specific prior written permission.
2795c7671fSmiod  *
2895c7671fSmiod  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
2995c7671fSmiod  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
3095c7671fSmiod  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
3195c7671fSmiod  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
3295c7671fSmiod  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
3395c7671fSmiod  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
3495c7671fSmiod  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
3595c7671fSmiod  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
3695c7671fSmiod  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
3795c7671fSmiod  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
3895c7671fSmiod  * SUCH DAMAGE.
3995c7671fSmiod  *
4095c7671fSmiod  *	@(#)ieee.h	8.1 (Berkeley) 6/11/93
4195c7671fSmiod  */
4295c7671fSmiod 
4395c7671fSmiod /*
4495c7671fSmiod  * ieee.h defines the machine-dependent layout of the machine's IEEE
4595c7671fSmiod  * floating point.  It does *not* define (yet?) any of the rounding
4695c7671fSmiod  * mode bits, exceptions, and so forth.
4795c7671fSmiod  */
4895c7671fSmiod 
4995c7671fSmiod /*
5095c7671fSmiod  * Define the number of bits in each fraction and exponent.
5195c7671fSmiod  *
5295c7671fSmiod  *		     k	         k+1
5395c7671fSmiod  * Note that  1.0 x 2  == 0.1 x 2      and that denorms are represented
5495c7671fSmiod  *
5595c7671fSmiod  *					  (-exp_bias+1)
5695c7671fSmiod  * as fractions that look like 0.fffff x 2             .  This means that
5795c7671fSmiod  *
5895c7671fSmiod  *			 -126
5995c7671fSmiod  * the number 0.10000 x 2    , for instance, is the same as the normalized
6095c7671fSmiod  *
6195c7671fSmiod  *		-127			   -128
6295c7671fSmiod  * float 1.0 x 2    .  Thus, to represent 2    , we need one leading zero
6395c7671fSmiod  *
6495c7671fSmiod  *				  -129
6595c7671fSmiod  * in the fraction; to represent 2    , we need two, and so on.  This
6695c7671fSmiod  *
6795c7671fSmiod  *						     (-exp_bias-fracbits+1)
6895c7671fSmiod  * implies that the smallest denormalized number is 2
6995c7671fSmiod  *
7095c7671fSmiod  * for whichever format we are talking about: for single precision, for
7195c7671fSmiod  *
7295c7671fSmiod  *						-126		-149
7395c7671fSmiod  * instance, we get .00000000000000000000001 x 2    , or 1.0 x 2    , and
7495c7671fSmiod  *
7595c7671fSmiod  * -149 == -127 - 23 + 1.
7695c7671fSmiod  */
7795c7671fSmiod #define	SNG_EXPBITS	8
7895c7671fSmiod #define	SNG_FRACBITS	23
7995c7671fSmiod 
8095c7671fSmiod #define	DBL_EXPBITS	11
81*7b36286aSmartynas #define	DBL_FRACHBITS	20
82*7b36286aSmartynas #define	DBL_FRACLBITS	32
8395c7671fSmiod #define	DBL_FRACBITS	52
8495c7671fSmiod 
8595c7671fSmiod struct ieee_single {
8695c7671fSmiod 	u_int	sng_frac:23;
874f0dcf5aSotto 	u_int	sng_exp:8;
884f0dcf5aSotto 	u_int	sng_sign:1;
8995c7671fSmiod };
9095c7671fSmiod 
9195c7671fSmiod struct ieee_double {
9295c7671fSmiod 	u_int	dbl_fracl;
934f0dcf5aSotto 	u_int	dbl_frach:20;
944f0dcf5aSotto 	u_int	dbl_exp:11;
954f0dcf5aSotto 	u_int	dbl_sign:1;
9695c7671fSmiod };
9795c7671fSmiod 
9895c7671fSmiod /*
9995c7671fSmiod  * Floats whose exponent is in [1..INFNAN) (of whatever type) are
10095c7671fSmiod  * `normal'.  Floats whose exponent is INFNAN are either Inf or NaN.
10195c7671fSmiod  * Floats whose exponent is zero are either zero (iff all fraction
10295c7671fSmiod  * bits are zero) or subnormal values.
10395c7671fSmiod  *
10495c7671fSmiod  * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
10595c7671fSmiod  * high fraction; if the bit is set, it is a `quiet NaN'.
10695c7671fSmiod  */
10795c7671fSmiod #define	SNG_EXP_INFNAN	255
10895c7671fSmiod #define	DBL_EXP_INFNAN	2047
10995c7671fSmiod 
11095c7671fSmiod #if 0
11195c7671fSmiod #define	SNG_QUIETNAN	(1 << 22)
11295c7671fSmiod #define	DBL_QUIETNAN	(1 << 19)
11395c7671fSmiod #endif
11495c7671fSmiod 
11595c7671fSmiod /*
11695c7671fSmiod  * Exponent biases.
11795c7671fSmiod  */
11895c7671fSmiod #define	SNG_EXP_BIAS	127
11995c7671fSmiod #define	DBL_EXP_BIAS	1023
120