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s_rintl.c (176458) s_rintl.c (176461)
1/*-
2 * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright

--- 11 unchanged lines hidden (view full) ---

20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24 * SUCH DAMAGE.
25 */
26
27#include <sys/cdefs.h>
1/*-
2 * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright

--- 11 unchanged lines hidden (view full) ---

20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24 * SUCH DAMAGE.
25 */
26
27#include <sys/cdefs.h>
28__FBSDID("$FreeBSD: head/lib/msun/src/s_rintl.c 176458 2008-02-22 10:04:53Z bde $");
28__FBSDID("$FreeBSD: head/lib/msun/src/s_rintl.c 176461 2008-02-22 11:59:05Z bde $");
29
30#include <float.h>
31#include <math.h>
32
33#include "fpmath.h"
34
29
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
35#define BIAS (LDBL_MAX_EXP - 1)
36
37static const float
38shift[2] = {
39#if LDBL_MANT_DIG == 64
40 0x1.0p63, -0x1.0p63
41#elif LDBL_MANT_DIG == 113
42 0x1.0p112, -0x1.0p112
43#else
44#error "Unsupported long double format"
45#endif
46};
47static const float zero[2] = { 0.0, -0.0 };
48
49long double
50rintl(long double x)
51{
52 union IEEEl2bits u;
40#define BIAS (LDBL_MAX_EXP - 1)
41
42static const float
43shift[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};
52static const float zero[2] = { 0.0, -0.0 };
53
54long double
55rintl(long double x)
56{
57 union IEEEl2bits u;
53 short sign;
58 uint32_t expsign;
59 int ex, sign;
54
55 u.e = x;
60
61 u.e = x;
62 expsign = u.xbits.expsign;
63 ex = expsign & 0x7fff;
56
64
57 if (u.bits.exp >= BIAS + LDBL_MANT_DIG - 1) {
58 if (u.bits.exp == BIAS + LDBL_MAX_EXP)
65 if (ex >= BIAS + LDBL_MANT_DIG - 1) {
66 if (ex == BIAS + LDBL_MAX_EXP)
59 return (x + x); /* Inf, NaN, or unsupported format */
60 return (x); /* finite and already an integer */
61 }
67 return (x + x); /* Inf, NaN, or unsupported format */
68 return (x); /* finite and already an integer */
69 }
62 sign = u.bits.sign;
70 sign = expsign >> 15;
63
64 /*
65 * The following code assumes that intermediate results are
66 * evaluated in long double precision. If they are evaluated in
67 * greater precision, double rounding may occur, and if they are
68 * evaluated in less precision (as on i386), results will be
69 * wildly incorrect.
70 */
71 x += shift[sign];
72 x -= shift[sign];
73
74 /*
75 * If the result is +-0, then it must have the same sign as x, but
76 * the above calculation doesn't always give this. Fix up the sign.
77 */
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 */
78 if (u.bits.exp < BIAS && x == 0.0L)
86 if (ex < BIAS && x == 0.0L)
79 return (zero[sign]);
80
81 return (x);
82}
87 return (zero[sign]);
88
89 return (x);
90}