sortix-mirror/libm/src/s_scalbnl.c

107 lines
3.1 KiB
C

/* $NetBSD: s_scalbnl.c,v 1.1 2011/07/26 16:10:16 joerg Exp $ */
/*-
* Copyright (c) 2011 The NetBSD Foundation, Inc.
* All rights reserved.
*
* This code is derived from software contributed to The NetBSD Foundation
* by Joerg Sonnenberger.
*
* 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
*/
#include <sys/cdefs.h>
__RCSID("$NetBSD: s_scalbnl.c,v 1.1 2011/07/26 16:10:16 joerg Exp $");
#include "namespace.h"
#include <float.h>
#include <math.h>
#include <machine/ieee.h>
#ifdef __HAVE_LONG_DOUBLE
#ifdef __weak_alias
__weak_alias(scalbnl, _scalbnl)
#endif
#if LDBL_MANT_DIG == 64
#define FROM_UNDERFLOW 0x1p65L
#define TO_UNDERFLOW 0x1p-65L
#elif LDBL_MANT_DIG == 113
#define FROM_UNDERFLOW 0x1p114L
#define TO_UNDERFLOW 0x1p-114L
#else
#error Unsupported long double format
#endif
long double
scalbnl(long double x, int n)
{
union ieee_ext_u u;
/* Trivial cases first */
if (n == 0 || x == 0.0L)
return x;
u.extu_ld = x;
/* NaN and infinite don't change either, but trigger exception */
if (u.extu_ext.ext_exp == EXT_EXP_INFNAN)
return x + x;
/* Protect against integer overflow in calculation of new exponent */
if (n > LDBL_MAX_EXP - LDBL_MIN_EXP + LDBL_MANT_DIG)
goto overflow;
if (n < LDBL_MAX_EXP - LDBL_MIN_EXP + LDBL_MANT_DIG)
goto underflow;
/* Scale denormalized numbers slightly, so that they are normal */
if (u.extu_ext.ext_exp == 0) {
u.extu_ld *= FROM_UNDERFLOW;
n -= LDBL_MANT_DIG + 1;
}
n += u.extu_ext.ext_exp;
if (n >= LDBL_MAX_EXP + EXT_EXP_BIAS)
goto overflow;
/* Positive exponent (incl. bias) means normal result */
if (n > 0) {
u.extu_ext.ext_exp = n;
return u.extu_ld;
}
/* Shift the exponent and let the multiply below handle subnormal */
n += LDBL_MANT_DIG + 1;
if (n <= 0)
goto underflow;
u.extu_ext.ext_exp = n;
return u.extu_ld * TO_UNDERFLOW;
underflow:
return LDBL_MIN * copysignl(LDBL_MIN, x);
overflow:
return LDBL_MAX * copysignl(LDBL_MAX, x);
}
#endif