1*7b36286aSmartynas /* $OpenBSD: ieee.h,v 1.3 2008/09/07 20:36:06 martynas Exp $ */ 239bdc9c2Smickey 339bdc9c2Smickey /* 439bdc9c2Smickey * Copyright (c) 1992, 1993 539bdc9c2Smickey * The Regents of the University of California. All rights reserved. 639bdc9c2Smickey * 739bdc9c2Smickey * This software was developed by the Computer Systems Engineering group 839bdc9c2Smickey * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and 939bdc9c2Smickey * contributed to Berkeley. 1039bdc9c2Smickey * 1139bdc9c2Smickey * All advertising materials mentioning features or use of this software 1239bdc9c2Smickey * must display the following acknowledgement: 1339bdc9c2Smickey * This product includes software developed by the University of 1439bdc9c2Smickey * California, Lawrence Berkeley Laboratory. 1539bdc9c2Smickey * 1639bdc9c2Smickey * Redistribution and use in source and binary forms, with or without 1739bdc9c2Smickey * modification, are permitted provided that the following conditions 1839bdc9c2Smickey * are met: 1939bdc9c2Smickey * 1. Redistributions of source code must retain the above copyright 2039bdc9c2Smickey * notice, this list of conditions and the following disclaimer. 2139bdc9c2Smickey * 2. Redistributions in binary form must reproduce the above copyright 2239bdc9c2Smickey * notice, this list of conditions and the following disclaimer in the 2339bdc9c2Smickey * documentation and/or other materials provided with the distribution. 2429295d1cSmillert * 3. Neither the name of the University nor the names of its contributors 2539bdc9c2Smickey * may be used to endorse or promote products derived from this software 2639bdc9c2Smickey * without specific prior written permission. 2739bdc9c2Smickey * 2839bdc9c2Smickey * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 2939bdc9c2Smickey * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 3039bdc9c2Smickey * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 3139bdc9c2Smickey * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 3239bdc9c2Smickey * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 3339bdc9c2Smickey * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 3439bdc9c2Smickey * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 3539bdc9c2Smickey * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 3639bdc9c2Smickey * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 3739bdc9c2Smickey * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 3839bdc9c2Smickey * SUCH DAMAGE. 3939bdc9c2Smickey * 4039bdc9c2Smickey * @(#)ieee.h 8.1 (Berkeley) 6/11/93 4139bdc9c2Smickey */ 4239bdc9c2Smickey 4339bdc9c2Smickey /* 4439bdc9c2Smickey * ieee.h defines the machine-dependent layout of the machine's IEEE 4539bdc9c2Smickey * floating point. It does *not* define (yet?) any of the rounding 4639bdc9c2Smickey * mode bits, exceptions, and so forth. 4739bdc9c2Smickey */ 4839bdc9c2Smickey 4939bdc9c2Smickey /* 5039bdc9c2Smickey * Define the number of bits in each fraction and exponent. 5139bdc9c2Smickey * 5239bdc9c2Smickey * k k+1 5339bdc9c2Smickey * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented 5439bdc9c2Smickey * 5539bdc9c2Smickey * (-exp_bias+1) 5639bdc9c2Smickey * as fractions that look like 0.fffff x 2 . This means that 5739bdc9c2Smickey * 5839bdc9c2Smickey * -126 5939bdc9c2Smickey * the number 0.10000 x 2 , for instance, is the same as the normalized 6039bdc9c2Smickey * 6139bdc9c2Smickey * -127 -128 6239bdc9c2Smickey * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero 6339bdc9c2Smickey * 6439bdc9c2Smickey * -129 6539bdc9c2Smickey * in the fraction; to represent 2 , we need two, and so on. This 6639bdc9c2Smickey * 6739bdc9c2Smickey * (-exp_bias-fracbits+1) 6839bdc9c2Smickey * implies that the smallest denormalized number is 2 6939bdc9c2Smickey * 7039bdc9c2Smickey * for whichever format we are talking about: for single precision, for 7139bdc9c2Smickey * 7239bdc9c2Smickey * -126 -149 7339bdc9c2Smickey * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and 7439bdc9c2Smickey * 7539bdc9c2Smickey * -149 == -127 - 23 + 1. 7639bdc9c2Smickey */ 7739bdc9c2Smickey #define SNG_EXPBITS 8 7839bdc9c2Smickey #define SNG_FRACBITS 23 7939bdc9c2Smickey 8039bdc9c2Smickey #define DBL_EXPBITS 11 81*7b36286aSmartynas #define DBL_FRACHBITS 20 82*7b36286aSmartynas #define DBL_FRACLBITS 32 8339bdc9c2Smickey #define DBL_FRACBITS 52 8439bdc9c2Smickey 8539bdc9c2Smickey #ifdef notyet 8639bdc9c2Smickey #define E80_EXPBITS 15 8739bdc9c2Smickey #define E80_FRACBITS 64 8839bdc9c2Smickey #endif 8939bdc9c2Smickey 9039bdc9c2Smickey struct ieee_single { 9139bdc9c2Smickey u_int sng_sign:1; 9239bdc9c2Smickey u_int sng_exp:8; 9339bdc9c2Smickey u_int sng_frac:23; 9439bdc9c2Smickey }; 9539bdc9c2Smickey 9639bdc9c2Smickey struct ieee_double { 9739bdc9c2Smickey u_int dbl_sign:1; 9839bdc9c2Smickey u_int dbl_exp:11; 9939bdc9c2Smickey u_int dbl_frach:20; 10039bdc9c2Smickey u_int dbl_fracl; 10139bdc9c2Smickey }; 10239bdc9c2Smickey 10339bdc9c2Smickey /* 10439bdc9c2Smickey * Floats whose exponent is in [1..INFNAN) (of whatever type) are 10539bdc9c2Smickey * `normal'. Floats whose exponent is INFNAN are either Inf or NaN. 10639bdc9c2Smickey * Floats whose exponent is zero are either zero (iff all fraction 10739bdc9c2Smickey * bits are zero) or subnormal values. 10839bdc9c2Smickey * 10939bdc9c2Smickey * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its 11039bdc9c2Smickey * high fraction; if the bit is set, it is a `quiet NaN'. 11139bdc9c2Smickey */ 11239bdc9c2Smickey #define SNG_EXP_INFNAN 255 11339bdc9c2Smickey #define DBL_EXP_INFNAN 2047 11439bdc9c2Smickey 11539bdc9c2Smickey #if 0 11639bdc9c2Smickey #define SNG_QUIETNAN (1 << 22) 11739bdc9c2Smickey #define DBL_QUIETNAN (1 << 19) 11839bdc9c2Smickey #endif 11939bdc9c2Smickey 12039bdc9c2Smickey /* 12139bdc9c2Smickey * Exponent biases. 12239bdc9c2Smickey */ 12339bdc9c2Smickey #define SNG_EXP_BIAS 127 12439bdc9c2Smickey #define DBL_EXP_BIAS 1023 125