xref: /titanic_41/usr/src/lib/libm/amd64/src/exp2l.s (revision bb3db448291a7208a0162997e1d17d3fa993871a)
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#include "libm_synonyms.h"
34
35	ENTRY(exp2l)
36	movl	16(%rsp),%ecx		/ cx <--sign&bexp(x)
37	andl	$0x7fff,%ecx		/ ecx <-- zero_xtnd(bexp(x))
38	cmpl	$0x3fff,%ecx		/ Is |x| <= 1?
39	jb	.shortcut		/ If so, take a shortcut.
40	je	.check_tail		/ |x| may be slightly > 1
41.general_case:				/ Here, |x| > 1 or x is NaN
42	cmpl	$0x7fff,%ecx		/ bexp(|x|) = bexp(INF)?
43	je	.not_finite		/ if so, x is not finite
44.finite_non_special:			/ Here, 1 < |x| < INF
45	fldt	8(%rsp)			/ push arg
46	fld	%st(0)			/ duplicate stack top
47	frndint				/ [x],x
48	fucomi	%st(1),%st		/ x integral?
49	je      .x_integral		/ branch if x integral
50	fxch				/ x, [x]
51	fsub	%st(1),%st		/ x-[x], [x]
52	f2xm1				/ 2**(x-[x])-1, [x]
53	fld1				/ 1,2**(x-[x])-1, [x]
54	faddp	%st,%st(1)		/ 2**(x-[x]), [x]
55	fscale				/ 2**x = 2**(arg), [x]
56	fstp	%st(1)
57	ret
58
59.x_integral:
60	fstp	%st(0)			/ ,x
61	fld1				/ 1 = 2**0, x
62	fscale				/ 2**(0 + x) = 2**x, x
63	fstp	%st(1)			/ 2**x
64	ret
65
66.check_tail:
67	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
68	cmpl	$0x80000000,%ecx	/ Is |x| <= 1?
69	ja	.finite_non_special
70	movl	8(%rsp),%edx		/ edx <-- lo_32(sgnfcnd(x))
71	cmpl	$0x0,%edx		/ Is |x| slightly > 1?
72	ja	.finite_non_special	/ branch if |x| slightly > 1
73.shortcut:
74	/ Here, |x| < 1,
75	/ whence x is in f2xm1's domain.
76	fldt	8(%rsp)			/ push x
77	f2xm1				/ 2**x - 1
78	fld1				/ 1,2**x - 1
79	faddp	%st,%st(1)		/ 2**x
80	ret
81
82.not_finite:
83	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
84	cmpl	$0x80000000,%ecx	/ hi_32(|x|) = hi_32(INF)?
85	jne	.NaN_or_pinf		/ if not, x is NaN
86	movl	8(%rsp),%edx		/ edx <-- lo_32(x)
87	cmpl	$0,%edx			/ lo_32(x) = 0?
88	jne	.NaN_or_pinf		/ if not, x is NaN
89	movl	16(%rsp),%eax		/ ax <-- sign&bexp((x))
90	andl	$0x8000,%eax		/ here, x is infinite, but +/-?
91	jz	.NaN_or_pinf		/ branch if x = +INF
92	fldz				/ Here, x = -inf, so return 0
93	ret
94
95.NaN_or_pinf:
96	/ Here, x = NaN or +inf, so load x and return immediately.
97	fldt	8(%rsp)
98	ret
99	.align	16
100	SET_SIZE(exp2l)
101