1*05a0b428SJohn Marino /* $OpenBSD: s_rintl.c,v 1.1 2008/12/09 20:00:35 martynas Exp $ */
2*05a0b428SJohn Marino /*-
3*05a0b428SJohn Marino * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
4*05a0b428SJohn Marino * All rights reserved.
5*05a0b428SJohn Marino *
6*05a0b428SJohn Marino * Redistribution and use in source and binary forms, with or without
7*05a0b428SJohn Marino * modification, are permitted provided that the following conditions
8*05a0b428SJohn Marino * are met:
9*05a0b428SJohn Marino * 1. Redistributions of source code must retain the above copyright
10*05a0b428SJohn Marino * notice, this list of conditions and the following disclaimer.
11*05a0b428SJohn Marino * 2. Redistributions in binary form must reproduce the above copyright
12*05a0b428SJohn Marino * notice, this list of conditions and the following disclaimer in the
13*05a0b428SJohn Marino * documentation and/or other materials provided with the distribution.
14*05a0b428SJohn Marino *
15*05a0b428SJohn Marino * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
16*05a0b428SJohn Marino * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
17*05a0b428SJohn Marino * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
18*05a0b428SJohn Marino * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
19*05a0b428SJohn Marino * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
20*05a0b428SJohn Marino * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
21*05a0b428SJohn Marino * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
22*05a0b428SJohn Marino * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
23*05a0b428SJohn Marino * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
24*05a0b428SJohn Marino * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
25*05a0b428SJohn Marino * SUCH DAMAGE.
26*05a0b428SJohn Marino */
27*05a0b428SJohn Marino
28*05a0b428SJohn Marino #include <sys/types.h>
29*05a0b428SJohn Marino #include <machine/ieee.h>
30*05a0b428SJohn Marino #include <float.h>
31*05a0b428SJohn Marino #include <math.h>
32*05a0b428SJohn Marino
33*05a0b428SJohn Marino #if LDBL_MAX_EXP != 0x4000
34*05a0b428SJohn Marino /* We also require the usual bias, min exp and expsign packing. */
35*05a0b428SJohn Marino #error "Unsupported long double format"
36*05a0b428SJohn Marino #endif
37*05a0b428SJohn Marino
38*05a0b428SJohn Marino #define BIAS (LDBL_MAX_EXP - 1)
39*05a0b428SJohn Marino
40*05a0b428SJohn Marino static const float
41*05a0b428SJohn Marino shift[2] = {
42*05a0b428SJohn Marino #if LDBL_MANT_DIG == 64
43*05a0b428SJohn Marino 0x1.0p63, -0x1.0p63
44*05a0b428SJohn Marino #elif LDBL_MANT_DIG == 113
45*05a0b428SJohn Marino 0x1.0p112, -0x1.0p112
46*05a0b428SJohn Marino #else
47*05a0b428SJohn Marino #error "Unsupported long double format"
48*05a0b428SJohn Marino #endif
49*05a0b428SJohn Marino };
50*05a0b428SJohn Marino static const float zero[2] = { 0.0, -0.0 };
51*05a0b428SJohn Marino
52*05a0b428SJohn Marino long double
rintl(long double x)53*05a0b428SJohn Marino rintl(long double x)
54*05a0b428SJohn Marino {
55*05a0b428SJohn Marino union {
56*05a0b428SJohn Marino long double e;
57*05a0b428SJohn Marino struct ieee_ext bits;
58*05a0b428SJohn Marino } u;
59*05a0b428SJohn Marino uint32_t expsign;
60*05a0b428SJohn Marino int ex, sign;
61*05a0b428SJohn Marino
62*05a0b428SJohn Marino u.e = x;
63*05a0b428SJohn Marino expsign = (u.bits.ext_sign << 15) | u.bits.ext_exp;
64*05a0b428SJohn Marino ex = expsign & 0x7fff;
65*05a0b428SJohn Marino
66*05a0b428SJohn Marino if (ex >= BIAS + LDBL_MANT_DIG - 1) {
67*05a0b428SJohn Marino if (ex == BIAS + LDBL_MAX_EXP)
68*05a0b428SJohn Marino return (x + x); /* Inf, NaN, or unsupported format */
69*05a0b428SJohn Marino return (x); /* finite and already an integer */
70*05a0b428SJohn Marino }
71*05a0b428SJohn Marino sign = expsign >> 15;
72*05a0b428SJohn Marino
73*05a0b428SJohn Marino /*
74*05a0b428SJohn Marino * The following code assumes that intermediate results are
75*05a0b428SJohn Marino * evaluated in long double precision. If they are evaluated in
76*05a0b428SJohn Marino * greater precision, double rounding may occur, and if they are
77*05a0b428SJohn Marino * evaluated in less precision (as on i386), results will be
78*05a0b428SJohn Marino * wildly incorrect.
79*05a0b428SJohn Marino */
80*05a0b428SJohn Marino x += shift[sign];
81*05a0b428SJohn Marino x -= shift[sign];
82*05a0b428SJohn Marino
83*05a0b428SJohn Marino /*
84*05a0b428SJohn Marino * If the result is +-0, then it must have the same sign as x, but
85*05a0b428SJohn Marino * the above calculation doesn't always give this. Fix up the sign.
86*05a0b428SJohn Marino */
87*05a0b428SJohn Marino if (ex < BIAS && x == 0.0L)
88*05a0b428SJohn Marino return (zero[sign]);
89*05a0b428SJohn Marino
90*05a0b428SJohn Marino return (x);
91*05a0b428SJohn Marino }
92