1 /*- 2 * SPDX-License-Identifier: BSD-2-Clause 3 * 4 * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 5 * All rights reserved. 6 * 7 * Redistribution and use in source and binary forms, with or without 8 * modification, are permitted provided that the following conditions 9 * are met: 10 * 1. Redistributions of source code must retain the above copyright 11 * notice, this list of conditions and the following disclaimer. 12 * 2. Redistributions in binary form must reproduce the above copyright 13 * notice, this list of conditions and the following disclaimer in the 14 * documentation and/or other materials provided with the distribution. 15 * 16 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 17 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 18 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 19 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 20 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 21 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 22 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 23 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 24 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 25 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 26 * SUCH DAMAGE. 27 */ 28 29 #include <sys/cdefs.h> 30 #include <float.h> 31 #include <math.h> 32 33 #include "fpmath.h" 34 35 #if LDBL_MAX_EXP != 0x4000 36 /* We also require the usual bias, min exp and expsign packing. */ 37 #error "Unsupported long double format" 38 #endif 39 40 #define BIAS (LDBL_MAX_EXP - 1) 41 42 static const float 43 shift[2] = { 44 #if LDBL_MANT_DIG == 64 45 0x1.0p63, -0x1.0p63 46 #elif LDBL_MANT_DIG == 113 47 0x1.0p112, -0x1.0p112 48 #else 49 #error "Unsupported long double format" 50 #endif 51 }; 52 static const float zero[2] = { 0.0, -0.0 }; 53 54 long double 55 rintl(long double x) 56 { 57 union IEEEl2bits u; 58 uint32_t expsign; 59 int ex, sign; 60 61 u.e = x; 62 expsign = u.xbits.expsign; 63 ex = expsign & 0x7fff; 64 65 if (ex >= BIAS + LDBL_MANT_DIG - 1) { 66 if (ex == BIAS + LDBL_MAX_EXP) 67 return (x + x); /* Inf, NaN, or unsupported format */ 68 return (x); /* finite and already an integer */ 69 } 70 sign = expsign >> 15; 71 72 /* 73 * The following code assumes that intermediate results are 74 * evaluated in long double precision. If they are evaluated in 75 * greater precision, double rounding may occur, and if they are 76 * evaluated in less precision (as on i386), results will be 77 * wildly incorrect. 78 */ 79 x += shift[sign]; 80 x -= shift[sign]; 81 82 /* 83 * If the result is +-0, then it must have the same sign as x, but 84 * the above calculation doesn't always give this. Fix up the sign. 85 */ 86 if (ex < BIAS && x == 0.0L) 87 return (zero[sign]); 88 89 return (x); 90 } 91