137 lines
4.4 KiB
C
137 lines
4.4 KiB
C
|
/* $NetBSD: ieee.h,v 1.1 1999/08/29 18:10:33 mycroft Exp $ */
|
||
|
|
||
|
/*
|
||
|
* Copyright (c) 1992, 1993
|
||
|
* The Regents of the University of California. All rights reserved.
|
||
|
*
|
||
|
* This software was developed by the Computer Systems Engineering group
|
||
|
* at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
|
||
|
* contributed to Berkeley.
|
||
|
*
|
||
|
* All advertising materials mentioning features or use of this software
|
||
|
* must display the following acknowledgement:
|
||
|
* This product includes software developed by the University of
|
||
|
* California, Lawrence Berkeley Laboratory.
|
||
|
*
|
||
|
* Redistribution and use in source and binary forms, with or without
|
||
|
* modification, are permitted provided that the following conditions
|
||
|
* are met:
|
||
|
* 1. Redistributions of source code must retain the above copyright
|
||
|
* notice, this list of conditions and the following disclaimer.
|
||
|
* 2. Redistributions in binary form must reproduce the above copyright
|
||
|
* notice, this list of conditions and the following disclaimer in the
|
||
|
* documentation and/or other materials provided with the distribution.
|
||
|
* 3. All advertising materials mentioning features or use of this software
|
||
|
* must display the following acknowledgement:
|
||
|
* This product includes software developed by the University of
|
||
|
* California, Berkeley and its contributors.
|
||
|
* 4. Neither the name of the University nor the names of its contributors
|
||
|
* may be used to endorse or promote products derived from this software
|
||
|
* without specific prior written permission.
|
||
|
*
|
||
|
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
|
||
|
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
||
|
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
|
||
|
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
||
|
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
||
|
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
||
|
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
||
|
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
||
|
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
||
|
* SUCH DAMAGE.
|
||
|
*
|
||
|
* @(#)ieee.h 8.1 (Berkeley) 6/11/93
|
||
|
*/
|
||
|
|
||
|
/*
|
||
|
* ieee.h defines the machine-dependent layout of the machine's IEEE
|
||
|
* floating point. It does *not* define (yet?) any of the rounding
|
||
|
* mode bits, exceptions, and so forth.
|
||
|
*/
|
||
|
|
||
|
/*
|
||
|
* Define the number of bits in each fraction and exponent.
|
||
|
*
|
||
|
* k k+1
|
||
|
* Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented
|
||
|
*
|
||
|
* (-exp_bias+1)
|
||
|
* as fractions that look like 0.fffff x 2 . This means that
|
||
|
*
|
||
|
* -126
|
||
|
* the number 0.10000 x 2 , for instance, is the same as the normalized
|
||
|
*
|
||
|
* -127 -128
|
||
|
* float 1.0 x 2 . Thus, to represent 2 , we need one leading zero
|
||
|
*
|
||
|
* -129
|
||
|
* in the fraction; to represent 2 , we need two, and so on. This
|
||
|
*
|
||
|
* (-exp_bias-fracbits+1)
|
||
|
* implies that the smallest denormalized number is 2
|
||
|
*
|
||
|
* for whichever format we are talking about: for single precision, for
|
||
|
*
|
||
|
* -126 -149
|
||
|
* instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and
|
||
|
*
|
||
|
* -149 == -127 - 23 + 1.
|
||
|
*/
|
||
|
#define SNG_EXPBITS 8
|
||
|
#define SNG_FRACBITS 23
|
||
|
|
||
|
#define DBL_EXPBITS 11
|
||
|
#define DBL_FRACBITS 52
|
||
|
|
||
|
#define EXT_EXPBITS 15
|
||
|
#define EXT_FRACBITS 112
|
||
|
|
||
|
struct ieee_single {
|
||
|
u_int sng_frac:23;
|
||
|
u_int sng_exp:8;
|
||
|
u_int sng_sign:1;
|
||
|
};
|
||
|
|
||
|
struct ieee_double {
|
||
|
u_int dbl_fracl;
|
||
|
u_int dbl_frach:20;
|
||
|
u_int dbl_exp:11;
|
||
|
u_int dbl_sign:1;
|
||
|
};
|
||
|
|
||
|
struct ieee_ext {
|
||
|
u_int ext_fracl;
|
||
|
u_int ext_fraclm;
|
||
|
u_int ext_frachm;
|
||
|
u_int ext_frach:16;
|
||
|
u_int ext_exp:15;
|
||
|
u_int ext_sign:1;
|
||
|
};
|
||
|
|
||
|
/*
|
||
|
* Floats whose exponent is in [1..INFNAN) (of whatever type) are
|
||
|
* `normal'. Floats whose exponent is INFNAN are either Inf or NaN.
|
||
|
* Floats whose exponent is zero are either zero (iff all fraction
|
||
|
* bits are zero) or subnormal values.
|
||
|
*
|
||
|
* A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
|
||
|
* high fraction; if the bit is set, it is a `quiet NaN'.
|
||
|
*/
|
||
|
#define SNG_EXP_INFNAN 255
|
||
|
#define DBL_EXP_INFNAN 2047
|
||
|
#define EXT_EXP_INFNAN 32767
|
||
|
|
||
|
#if 0
|
||
|
#define SNG_QUIETNAN (1 << 22)
|
||
|
#define DBL_QUIETNAN (1 << 19)
|
||
|
#define EXT_QUIETNAN (1 << 15)
|
||
|
#endif
|
||
|
|
||
|
/*
|
||
|
* Exponent biases.
|
||
|
*/
|
||
|
#define SNG_EXP_BIAS 127
|
||
|
#define DBL_EXP_BIAS 1023
|
||
|
#define EXT_EXP_BIAS 16383
|