ieee.h revision 1.1
11.1Sderaadt/* 21.1Sderaadt * Copyright (c) 1992, 1993 31.1Sderaadt * The Regents of the University of California. All rights reserved. 41.1Sderaadt * 51.1Sderaadt * This software was developed by the Computer Systems Engineering group 61.1Sderaadt * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and 71.1Sderaadt * contributed to Berkeley. 81.1Sderaadt * 91.1Sderaadt * All advertising materials mentioning features or use of this software 101.1Sderaadt * must display the following acknowledgement: 111.1Sderaadt * This product includes software developed by the University of 121.1Sderaadt * California, Lawrence Berkeley Laboratory. 131.1Sderaadt * 141.1Sderaadt * Redistribution and use in source and binary forms, with or without 151.1Sderaadt * modification, are permitted provided that the following conditions 161.1Sderaadt * are met: 171.1Sderaadt * 1. Redistributions of source code must retain the above copyright 181.1Sderaadt * notice, this list of conditions and the following disclaimer. 191.1Sderaadt * 2. Redistributions in binary form must reproduce the above copyright 201.1Sderaadt * notice, this list of conditions and the following disclaimer in the 211.1Sderaadt * documentation and/or other materials provided with the distribution. 221.1Sderaadt * 3. All advertising materials mentioning features or use of this software 231.1Sderaadt * must display the following acknowledgement: 241.1Sderaadt * This product includes software developed by the University of 251.1Sderaadt * California, Berkeley and its contributors. 261.1Sderaadt * 4. Neither the name of the University nor the names of its contributors 271.1Sderaadt * may be used to endorse or promote products derived from this software 281.1Sderaadt * without specific prior written permission. 291.1Sderaadt * 301.1Sderaadt * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 311.1Sderaadt * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 321.1Sderaadt * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 331.1Sderaadt * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 341.1Sderaadt * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 351.1Sderaadt * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 361.1Sderaadt * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 371.1Sderaadt * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 381.1Sderaadt * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 391.1Sderaadt * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 401.1Sderaadt * SUCH DAMAGE. 411.1Sderaadt * 421.1Sderaadt * @(#)ieee.h 8.1 (Berkeley) 6/11/93 431.1Sderaadt * 441.1Sderaadt * from: Header: ieee.h,v 1.7 92/11/26 02:04:37 torek Exp 451.1Sderaadt * $Id: ieee.h,v 1.1 1993/10/02 10:23:13 deraadt Exp $ 461.1Sderaadt */ 471.1Sderaadt 481.1Sderaadt/* 491.1Sderaadt * ieee.h defines the machine-dependent layout of the machine's IEEE 501.1Sderaadt * floating point. It does *not* define (yet?) any of the rounding 511.1Sderaadt * mode bits, exceptions, and so forth. 521.1Sderaadt */ 531.1Sderaadt 541.1Sderaadt/* 551.1Sderaadt * Define the number of bits in each fraction and exponent. 561.1Sderaadt * 571.1Sderaadt * k k+1 581.1Sderaadt * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented 591.1Sderaadt * 601.1Sderaadt * (-exp_bias+1) 611.1Sderaadt * as fractions that look like 0.fffff x 2 . This means that 621.1Sderaadt * 631.1Sderaadt * -126 641.1Sderaadt * the number 0.10000 x 2 , for instance, is the same as the normalized 651.1Sderaadt * 661.1Sderaadt * -127 -128 671.1Sderaadt * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero 681.1Sderaadt * 691.1Sderaadt * -129 701.1Sderaadt * in the fraction; to represent 2 , we need two, and so on. This 711.1Sderaadt * 721.1Sderaadt * (-exp_bias-fracbits+1) 731.1Sderaadt * implies that the smallest denormalized number is 2 741.1Sderaadt * 751.1Sderaadt * for whichever format we are talking about: for single precision, for 761.1Sderaadt * 771.1Sderaadt * -126 -149 781.1Sderaadt * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and 791.1Sderaadt * 801.1Sderaadt * -149 == -127 - 23 + 1. 811.1Sderaadt */ 821.1Sderaadt#define SNG_EXPBITS 8 831.1Sderaadt#define SNG_FRACBITS 23 841.1Sderaadt 851.1Sderaadt#define DBL_EXPBITS 11 861.1Sderaadt#define DBL_FRACBITS 52 871.1Sderaadt 881.1Sderaadt#ifdef notyet 891.1Sderaadt#define E80_EXPBITS 15 901.1Sderaadt#define E80_FRACBITS 64 911.1Sderaadt#endif 921.1Sderaadt 931.1Sderaadt#define EXT_EXPBITS 15 941.1Sderaadt#define EXT_FRACBITS 112 951.1Sderaadt 961.1Sderaadtstruct ieee_single { 971.1Sderaadt u_int sng_sign:1; 981.1Sderaadt u_int sng_exp:8; 991.1Sderaadt u_int sng_frac:23; 1001.1Sderaadt}; 1011.1Sderaadt 1021.1Sderaadtstruct ieee_double { 1031.1Sderaadt u_int dbl_sign:1; 1041.1Sderaadt u_int dbl_exp:11; 1051.1Sderaadt u_int dbl_frach:20; 1061.1Sderaadt u_int dbl_fracl; 1071.1Sderaadt}; 1081.1Sderaadt 1091.1Sderaadtstruct ieee_ext { 1101.1Sderaadt u_int ext_sign:1; 1111.1Sderaadt u_int ext_exp:15; 1121.1Sderaadt u_int ext_frach:16; 1131.1Sderaadt u_int ext_frachm; 1141.1Sderaadt u_int ext_fraclm; 1151.1Sderaadt u_int ext_fracl; 1161.1Sderaadt}; 1171.1Sderaadt 1181.1Sderaadt/* 1191.1Sderaadt * Floats whose exponent is in [1..INFNAN) (of whatever type) are 1201.1Sderaadt * `normal'. Floats whose exponent is INFNAN are either Inf or NaN. 1211.1Sderaadt * Floats whose exponent is zero are either zero (iff all fraction 1221.1Sderaadt * bits are zero) or subnormal values. 1231.1Sderaadt * 1241.1Sderaadt * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its 1251.1Sderaadt * high fraction; if the bit is set, it is a `quiet NaN'. 1261.1Sderaadt */ 1271.1Sderaadt#define SNG_EXP_INFNAN 255 1281.1Sderaadt#define DBL_EXP_INFNAN 2047 1291.1Sderaadt#define EXT_EXP_INFNAN 32767 1301.1Sderaadt 1311.1Sderaadt#if 0 1321.1Sderaadt#define SNG_QUIETNAN (1 << 22) 1331.1Sderaadt#define DBL_QUIETNAN (1 << 19) 1341.1Sderaadt#define EXT_QUIETNAN (1 << 15) 1351.1Sderaadt#endif 1361.1Sderaadt 1371.1Sderaadt/* 1381.1Sderaadt * Exponent biases. 1391.1Sderaadt */ 1401.1Sderaadt#define SNG_EXP_BIAS 127 1411.1Sderaadt#define DBL_EXP_BIAS 1023 1421.1Sderaadt#define EXT_EXP_BIAS 16383 143