/*- * Copyright (c) 2008 David Schultz * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. */ #if LDBL_MAX_EXP != 0x4000 /* We also require the usual bias, min exp and expsign packing. */ #error "Unsupported long double format" #endif #define BIAS (LDBL_MAX_EXP - 1) static const float shift[2] = { #if LDBL_MANT_DIG == 64 0x1.0p63, -0x1.0p63 #elif LDBL_MANT_DIG == 113 0x1.0p112, -0x1.0p112 #else #error "Unsupported long double format" #endif }; static const float zero[2] = { 0.0, -0.0 }; long double rintl(long double x) { union IEEEl2bits u; u_int32_t expsign; int ex, sign; u.e = x; expsign = u.xbits.expsign; ex = expsign & 0x7fff; if (ex >= BIAS + LDBL_MANT_DIG - 1) { if (ex == BIAS + LDBL_MAX_EXP) return (x + x); /* Inf, NaN, or unsupported format */ return (x); /* finite and already an integer */ } sign = expsign >> 15; /* * The following code assumes that intermediate results are * evaluated in long double precision. If they are evaluated in * greater precision, double rounding may occur, and if they are * evaluated in less precision (as on i386), results will be * wildly incorrect. */ x += (long double)shift[sign]; x -= (long double)shift[sign]; /* * If the result is +-0, then it must have the same sign as x, but * the above calculation doesn't always give this. Fix up the sign. */ if (ex < BIAS && x == 0.0L) return ((long double)zero[sign]); return (x); } /* * We save and restore the floating-point environment to avoid raising * an inexact exception. We can get away with using fesetenv() * instead of feclearexcept()/feupdateenv() to restore the environment * because the only exception defined for rint() is overflow, and * rounding can't overflow as long as emax >= p. */ long double nearbyintl(long double x) { long double ret; if (isnan(x)) return x + x; #if defined(FE_INEXACT) && !defined(PICOLIBC_DOUBLE_NOEXECPT) fenv_t env; fegetenv(&env); #endif ret = rintl(x); #if defined(FE_INEXACT) && !defined(PICOLIBC_DOUBLE_NOEXECPT) fesetenv(&env); #endif return (ret); }