ieee.h revision 1.1
11.1Sws/* $NetBSD: ieee.h,v 1.1 1996/09/30 16:34:25 ws Exp $ */ 21.1Sws 31.1Sws/* 41.1Sws * Copyright (c) 1992, 1993 51.1Sws * The Regents of the University of California. All rights reserved. 61.1Sws * 71.1Sws * This software was developed by the Computer Systems Engineering group 81.1Sws * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and 91.1Sws * contributed to Berkeley. 101.1Sws * 111.1Sws * All advertising materials mentioning features or use of this software 121.1Sws * must display the following acknowledgement: 131.1Sws * This product includes software developed by the University of 141.1Sws * California, Lawrence Berkeley Laboratory. 151.1Sws * 161.1Sws * Redistribution and use in source and binary forms, with or without 171.1Sws * modification, are permitted provided that the following conditions 181.1Sws * are met: 191.1Sws * 1. Redistributions of source code must retain the above copyright 201.1Sws * notice, this list of conditions and the following disclaimer. 211.1Sws * 2. Redistributions in binary form must reproduce the above copyright 221.1Sws * notice, this list of conditions and the following disclaimer in the 231.1Sws * documentation and/or other materials provided with the distribution. 241.1Sws * 3. All advertising materials mentioning features or use of this software 251.1Sws * must display the following acknowledgement: 261.1Sws * This product includes software developed by the University of 271.1Sws * California, Berkeley and its contributors. 281.1Sws * 4. Neither the name of the University nor the names of its contributors 291.1Sws * may be used to endorse or promote products derived from this software 301.1Sws * without specific prior written permission. 311.1Sws * 321.1Sws * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 331.1Sws * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 341.1Sws * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 351.1Sws * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 361.1Sws * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 371.1Sws * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 381.1Sws * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 391.1Sws * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 401.1Sws * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 411.1Sws * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 421.1Sws * SUCH DAMAGE. 431.1Sws * 441.1Sws * @(#)ieee.h 8.1 (Berkeley) 6/11/93 451.1Sws */ 461.1Sws 471.1Sws/* 481.1Sws * ieee.h defines the machine-dependent layout of the machine's IEEE 491.1Sws * floating point. It does *not* define (yet?) any of the rounding 501.1Sws * mode bits, exceptions, and so forth. 511.1Sws */ 521.1Sws 531.1Sws/* 541.1Sws * Define the number of bits in each fraction and exponent. 551.1Sws * 561.1Sws * k k+1 571.1Sws * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented 581.1Sws * 591.1Sws * (-exp_bias+1) 601.1Sws * as fractions that look like 0.fffff x 2 . This means that 611.1Sws * 621.1Sws * -126 631.1Sws * the number 0.10000 x 2 , for instance, is the same as the normalized 641.1Sws * 651.1Sws * -127 -128 661.1Sws * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero 671.1Sws * 681.1Sws * -129 691.1Sws * in the fraction; to represent 2 , we need two, and so on. This 701.1Sws * 711.1Sws * (-exp_bias-fracbits+1) 721.1Sws * implies that the smallest denormalized number is 2 731.1Sws * 741.1Sws * for whichever format we are talking about: for single precision, for 751.1Sws * 761.1Sws * -126 -149 771.1Sws * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and 781.1Sws * 791.1Sws * -149 == -127 - 23 + 1. 801.1Sws */ 811.1Sws#define SNG_EXPBITS 8 821.1Sws#define SNG_FRACBITS 23 831.1Sws 841.1Sws#define DBL_EXPBITS 11 851.1Sws#define DBL_FRACBITS 52 861.1Sws 871.1Sws#define EXT_EXPBITS 15 881.1Sws#define EXT_FRACBITS 112 891.1Sws 901.1Swsstruct ieee_single { 911.1Sws u_int sng_sign:1; 921.1Sws u_int sng_exp:8; 931.1Sws u_int sng_frac:23; 941.1Sws}; 951.1Sws 961.1Swsstruct ieee_double { 971.1Sws u_int dbl_sign:1; 981.1Sws u_int dbl_exp:11; 991.1Sws u_int dbl_frach:20; 1001.1Sws u_int dbl_fracl; 1011.1Sws}; 1021.1Sws 1031.1Swsstruct ieee_ext { 1041.1Sws u_int ext_sign:1; 1051.1Sws u_int ext_exp:15; 1061.1Sws u_int ext_frach:16; 1071.1Sws u_int ext_frachm; 1081.1Sws u_int ext_fraclm; 1091.1Sws u_int ext_fracl; 1101.1Sws}; 1111.1Sws 1121.1Sws/* 1131.1Sws * Floats whose exponent is in [1..INFNAN) (of whatever type) are 1141.1Sws * `normal'. Floats whose exponent is INFNAN are either Inf or NaN. 1151.1Sws * Floats whose exponent is zero are either zero (iff all fraction 1161.1Sws * bits are zero) or subnormal values. 1171.1Sws * 1181.1Sws * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its 1191.1Sws * high fraction; if the bit is set, it is a `quiet NaN'. 1201.1Sws */ 1211.1Sws#define SNG_EXP_INFNAN 255 1221.1Sws#define DBL_EXP_INFNAN 2047 1231.1Sws#define EXT_EXP_INFNAN 32767 1241.1Sws 1251.1Sws#if 0 1261.1Sws#define SNG_QUIETNAN (1 << 22) 1271.1Sws#define DBL_QUIETNAN (1 << 19) 1281.1Sws#define EXT_QUIETNAN (1 << 15) 1291.1Sws#endif 1301.1Sws 1311.1Sws/* 1321.1Sws * Exponent biases. 1331.1Sws */ 1341.1Sws#define SNG_EXP_BIAS 127 1351.1Sws#define DBL_EXP_BIAS 1023 1361.1Sws#define EXT_EXP_BIAS 16383 137