NetBSD/lib/libm/noieee_src/n_floor.c
abs eb439bf1a7 Add noieee versions for lround(), lroundf(), lrint(), lrintf(),
llrint() and llrintf().  Code copied from round(), roundf() and
rint() and modified for return values.  Its possible this may not
do the right things in edge cases, but if so its likely to have
the same issues as the existing round(), roundf() and rint().

All this used by vax (only), and should allow xnest to complete
build.
2010-12-09 22:52:59 +00:00

219 lines
5.5 KiB
C

/* $NetBSD: n_floor.c,v 1.7 2010/12/09 22:52:59 abs Exp $ */
/*
* Copyright (c) 1985, 1993
* The Regents of the University of California. 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.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 REGENTS 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.
*/
#ifndef lint
#if 0
static char sccsid[] = "@(#)floor.c 8.1 (Berkeley) 6/4/93";
#endif
#endif /* not lint */
#define _LIBM_STATIC
#include "mathimpl.h"
vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */
ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */
#ifdef vccast
#define L vccast(L)
#endif
/*
* floor(x) := the largest integer no larger than x;
* ceil(x) := -floor(-x), for all real x.
*
* Note: Inexact will be signaled if x is not an integer, as is
* customary for IEEE 754. No other signal can be emitted.
*/
double
floor(double x)
{
volatile double y;
if (
#if !defined(__vax__)&&!defined(tahoe)
x != x || /* NaN */
#endif /* !defined(__vax__)&&!defined(tahoe) */
x >= L) /* already an even integer */
return x;
else if (x < (double)0)
return -ceil(-x);
else { /* now 0 <= x < L */
y = L+x; /* destructive store must be forced */
y -= L; /* an integer, and |x-y| < 1 */
return x < y ? y-(double)1 : y;
}
}
float
floorf(float x)
{
return floor((double)x);
}
double
ceil(double x)
{
volatile double y;
if (
#if !defined(__vax__)&&!defined(tahoe)
x != x || /* NaN */
#endif /* !defined(__vax__)&&!defined(tahoe) */
x >= L) /* already an even integer */
return x;
else if (x < (double)0)
return -floor(-x);
else { /* now 0 <= x < L */
y = L+x; /* destructive store must be forced */
y -= L; /* an integer, and |x-y| < 1 */
return x > y ? y+(double)1 : y;
}
}
float
ceilf(float x)
{
return ceil((double)x);
}
#ifndef ns32000 /* rint() is in ./NATIONAL/support.s */
/*
* algorithm for rint(x) in pseudo-pascal form ...
*
* real rint(x): real x;
* ... delivers integer nearest x in direction of prevailing rounding
* ... mode
* const L = (last consecutive integer)/2
* = 2**55; for VAX D
* = 2**52; for IEEE 754 Double
* real s,t;
* begin
* if x != x then return x; ... NaN
* if |x| >= L then return x; ... already an integer
* s := copysign(L,x);
* t := x + s; ... = (x+s) rounded to integer
* return t - s
* end;
*
* Note: Inexact will be signaled if x is not an integer, as is
* customary for IEEE 754. No other signal can be emitted.
*/
double
rint(double x)
{
double s;
volatile double t;
const double one = 1.0;
#if !defined(__vax__)&&!defined(tahoe)
if (x != x) /* NaN */
return (x);
#endif /* !defined(__vax__)&&!defined(tahoe) */
if (copysign(x,one) >= L) /* already an integer */
return (x);
s = copysign(L,x);
t = x + s; /* x+s rounded to integer */
return (t - s);
}
#endif /* not national */
long
lrint(double x)
{
double s;
volatile double t;
const double one = 1.0;
#if !defined(__vax__)&&!defined(tahoe)
if (x != x) /* NaN */
return (x);
#endif /* !defined(__vax__)&&!defined(tahoe) */
if (copysign(x,one) >= L) /* already an integer */
return (x);
s = copysign(L,x);
t = x + s; /* x+s rounded to integer */
return (t - s);
}
long long
llrint(double x)
{
double s;
volatile double t;
const double one = 1.0;
#if !defined(__vax__)&&!defined(tahoe)
if (x != x) /* NaN */
return (x);
#endif /* !defined(__vax__)&&!defined(tahoe) */
if (copysign(x,one) >= L) /* already an integer */
return (x);
s = copysign(L,x);
t = x + s; /* x+s rounded to integer */
return (t - s);
}
long
lrintf(float x)
{
float s;
volatile float t;
const float one = 1.0;
#if !defined(__vax__)&&!defined(tahoe)
if (x != x) /* NaN */
return (x);
#endif /* !defined(__vax__)&&!defined(tahoe) */
if (copysign(x,one) >= L) /* already an integer */
return (x);
s = copysign(L,x);
t = x + s; /* x+s rounded to integer */
return (t - s);
}
long long
llrintf(float x)
{
float s;
volatile float t;
const float one = 1.0;
#if !defined(__vax__)&&!defined(tahoe)
if (x != x) /* NaN */
return (x);
#endif /* !defined(__vax__)&&!defined(tahoe) */
if (copysign(x,one) >= L) /* already an integer */
return (x);
s = copysign(L,x);
t = x + s; /* x+s rounded to integer */
return (t - s);
}