xref: /titanic_50/usr/src/lib/libm/amd64/src/exp2l.s (revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af)
1/*
2 * CDDL HEADER START
3 *
4 * The contents of this file are subject to the terms of the
5 * Common Development and Distribution License (the "License").
6 * You may not use this file except in compliance with the License.
7 *
8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9 * or http://www.opensolaris.org/os/licensing.
10 * See the License for the specific language governing permissions
11 * and limitations under the License.
12 *
13 * When distributing Covered Code, include this CDDL HEADER in each
14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 * If applicable, add the following below this CDDL HEADER, with the
16 * fields enclosed by brackets "[]" replaced with your own identifying
17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 *
19 * CDDL HEADER END
20 */
21/*
22 * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
23 */
24/*
25 * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
26 * Use is subject to license terms.
27 */
28
29        .file "exp2l.s"
30
31#include "libm.h"
32LIBM_ANSI_PRAGMA_WEAK(exp2l,function)
33
34	ENTRY(exp2l)
35	movl	16(%rsp),%ecx		/ cx <--sign&bexp(x)
36	andl	$0x7fff,%ecx		/ ecx <-- zero_xtnd(bexp(x))
37	cmpl	$0x3fff,%ecx		/ Is |x| <= 1?
38	jb	.shortcut		/ If so, take a shortcut.
39	je	.check_tail		/ |x| may be slightly > 1
40.general_case:				/ Here, |x| > 1 or x is NaN
41	cmpl	$0x7fff,%ecx		/ bexp(|x|) = bexp(INF)?
42	je	.not_finite		/ if so, x is not finite
43.finite_non_special:			/ Here, 1 < |x| < INF
44	fldt	8(%rsp)			/ push arg
45	fld	%st(0)			/ duplicate stack top
46	frndint				/ [x],x
47	fucomi	%st(1),%st		/ x integral?
48	je      .x_integral		/ branch if x integral
49	fxch				/ x, [x]
50	fsub	%st(1),%st		/ x-[x], [x]
51	f2xm1				/ 2**(x-[x])-1, [x]
52	fld1				/ 1,2**(x-[x])-1, [x]
53	faddp	%st,%st(1)		/ 2**(x-[x]), [x]
54	fscale				/ 2**x = 2**(arg), [x]
55	fstp	%st(1)
56	ret
57
58.x_integral:
59	fstp	%st(0)			/ ,x
60	fld1				/ 1 = 2**0, x
61	fscale				/ 2**(0 + x) = 2**x, x
62	fstp	%st(1)			/ 2**x
63	ret
64
65.check_tail:
66	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
67	cmpl	$0x80000000,%ecx	/ Is |x| <= 1?
68	ja	.finite_non_special
69	movl	8(%rsp),%edx		/ edx <-- lo_32(sgnfcnd(x))
70	cmpl	$0x0,%edx		/ Is |x| slightly > 1?
71	ja	.finite_non_special	/ branch if |x| slightly > 1
72.shortcut:
73	/ Here, |x| < 1,
74	/ whence x is in f2xm1's domain.
75	fldt	8(%rsp)			/ push x
76	f2xm1				/ 2**x - 1
77	fld1				/ 1,2**x - 1
78	faddp	%st,%st(1)		/ 2**x
79	ret
80
81.not_finite:
82	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
83	cmpl	$0x80000000,%ecx	/ hi_32(|x|) = hi_32(INF)?
84	jne	.NaN_or_pinf		/ if not, x is NaN
85	movl	8(%rsp),%edx		/ edx <-- lo_32(x)
86	cmpl	$0,%edx			/ lo_32(x) = 0?
87	jne	.NaN_or_pinf		/ if not, x is NaN
88	movl	16(%rsp),%eax		/ ax <-- sign&bexp((x))
89	andl	$0x8000,%eax		/ here, x is infinite, but +/-?
90	jz	.NaN_or_pinf		/ branch if x = +INF
91	fldz				/ Here, x = -inf, so return 0
92	ret
93
94.NaN_or_pinf:
95	/ Here, x = NaN or +inf, so load x and return immediately.
96	fldt	8(%rsp)
97	ret
98	.align	16
99	SET_SIZE(exp2l)
100