The Design and Implementation of the FreeBSD Operating System, Second Edition
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FreeBSD/Linux Kernel Cross Reference
sys/powerpc/include/ieee.h

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    1 /*-
    2  * SPDX-License-Identifier: BSD-3-Clause
    3  *
    4  * Copyright (c) 1992, 1993
    5  *      The Regents of the University of California.  All rights reserved.
    6  *
    7  * This software was developed by the Computer Systems Engineering group
    8  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
    9  * contributed to Berkeley.
   10  *
   11  * All advertising materials mentioning features or use of this software
   12  * must display the following acknowledgement:
   13  *      This product includes software developed by the University of
   14  *      California, Lawrence Berkeley Laboratory.
   15  *
   16  * Redistribution and use in source and binary forms, with or without
   17  * modification, are permitted provided that the following conditions
   18  * are met:
   19  * 1. Redistributions of source code must retain the above copyright
   20  *    notice, this list of conditions and the following disclaimer.
   21  * 2. Redistributions in binary form must reproduce the above copyright
   22  *    notice, this list of conditions and the following disclaimer in the
   23  *    documentation and/or other materials provided with the distribution.
   24  * 3. Neither the name of the University nor the names of its contributors
   25  *    may be used to endorse or promote products derived from this software
   26  *    without specific prior written permission.
   27  *
   28  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
   29  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
   30  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
   31  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
   32  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
   33  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
   34  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
   35  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
   36  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
   37  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
   38  * SUCH DAMAGE.
   39  *
   40  *      @(#)ieee.h      8.1 (Berkeley) 6/11/93
   41  *      from: NetBSD: ieee.h,v 1.1.1.1 1998/06/20 04:58:51 eeh Exp
   42  * $FreeBSD$
   43  */
   44 
   45 #ifndef _MACHINE_IEEE_H_
   46 #define _MACHINE_IEEE_H_
   47 
   48 /*
   49  * ieee.h defines the machine-dependent layout of the machine's IEEE
   50  * floating point.  It does *not* define (yet?) any of the rounding
   51  * mode bits, exceptions, and so forth.
   52  */
   53 
   54 /*
   55  * Define the number of bits in each fraction and exponent.
   56  *
   57  *                   k           k+1
   58  * Note that  1.0 x 2  == 0.1 x 2      and that denorms are represented
   59  *
   60  *                                        (-exp_bias+1)
   61  * as fractions that look like 0.fffff x 2             .  This means that
   62  *
   63  *                       -126
   64  * the number 0.10000 x 2    , for instance, is the same as the normalized
   65  *
   66  *              -127                       -128
   67  * float 1.0 x 2    .  Thus, to represent 2    , we need one leading zero
   68  *
   69  *                                -129
   70  * in the fraction; to represent 2    , we need two, and so on.  This
   71  *
   72  *                                                   (-exp_bias-fracbits+1)
   73  * implies that the smallest denormalized number is 2
   74  *
   75  * for whichever format we are talking about: for single precision, for
   76  *
   77  *                                              -126            -149
   78  * instance, we get .00000000000000000000001 x 2    , or 1.0 x 2    , and
   79  *
   80  * -149 == -127 - 23 + 1.
   81  */
   82 #define SNG_EXPBITS     8
   83 #define SNG_FRACBITS    23
   84 
   85 #define DBL_EXPBITS     11
   86 #define DBL_FRACBITS    52
   87 
   88 #ifdef notyet
   89 #define E80_EXPBITS     15
   90 #define E80_FRACBITS    64
   91 #endif
   92 
   93 #define EXT_EXPBITS     15
   94 #define EXT_FRACBITS    112
   95 
   96 struct ieee_single {
   97         u_int   sng_sign:1;
   98         u_int   sng_exp:8;
   99         u_int   sng_frac:23;
  100 };
  101 
  102 struct ieee_double {
  103         u_int   dbl_sign:1;
  104         u_int   dbl_exp:11;
  105         u_int   dbl_frach:20;
  106         u_int   dbl_fracl;
  107 };
  108 
  109 struct ieee_ext {
  110         u_int   ext_sign:1;
  111         u_int   ext_exp:15;
  112         u_int   ext_frach:16;
  113         u_int   ext_frachm;
  114         u_int   ext_fraclm;
  115         u_int   ext_fracl;
  116 };
  117 
  118 /*
  119  * Floats whose exponent is in [1..INFNAN) (of whatever type) are
  120  * `normal'.  Floats whose exponent is INFNAN are either Inf or NaN.
  121  * Floats whose exponent is zero are either zero (iff all fraction
  122  * bits are zero) or subnormal values.
  123  *
  124  * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
  125  * high fraction; if the bit is set, it is a `quiet NaN'.
  126  */
  127 #define SNG_EXP_INFNAN  255
  128 #define DBL_EXP_INFNAN  2047
  129 #define EXT_EXP_INFNAN  32767
  130 
  131 #if 0
  132 #define SNG_QUIETNAN    (1 << 22)
  133 #define DBL_QUIETNAN    (1 << 19)
  134 #define EXT_QUIETNAN    (1 << 15)
  135 #endif
  136 
  137 /*
  138  * Exponent biases.
  139  */
  140 #define SNG_EXP_BIAS    127
  141 #define DBL_EXP_BIAS    1023
  142 #define EXT_EXP_BIAS    16383
  143 
  144 #endif

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