xref: /illumos-gate/usr/src/lib/libm/i386/src/exp10l.S (revision 30699046)
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 2006 Sun Microsystems, Inc.  All rights reserved.
26 * Use is subject to license terms.
27 */
28
29        .file "exp10l.s"
30
31#include "libm.h"
32
33	.data
34	.align	4
35lt2_hi:	.long	0xfbd00000, 0x9a209a84, 0x00003ffd
36lt2_lo:	.long	0x653f4837, 0x8677076a, 0x0000bfc9
37
38	ENTRY(exp10l)
39	movl	12(%esp),%ecx		/ cx <--sign&bexp(x)
40	andl	$0x00007fff,%ecx	/ ecx <-- zero_xtnd(bexp(x))
41	cmpl	$0x00003ffd,%ecx	/ Is |x| < log10(2)?
42	jb	.shortcut		/ If so, take a shortcut.
43	je	.check_tail		/ maybe |x| only slightly < log10(2)
44	cmpl	$0x00007fff,%ecx	/ bexp(|x|) = bexp(INF)?
45	je	.not_finite		/ if so, x is not finite
46	cmpl	$0x0000400e,%ecx	/ |x| < 32768 = 2^15?
47	jb	.finite_non_special	/ if so, proceed with argument reduction
48	fldt	4(%esp)			/ x
49	fld1				/ 1, x
50	jmp	1f
51.finite_non_special:			/ Here, log10(2) < |x| < 2^15
52	fldt	4(%esp)			/ x
53	fld	%st(0)			/ x, x
54	fldl2t				/ log2(10), x, x
55	fmulp				/ z := x*log2(10), x
56	frndint				/ [z], x
57	fst	%st(2)			/ [z], x, [z]
58	PIC_SETUP(1)
59	fldt	PIC_L(lt2_hi)		/ lt2_hi, [z], x, [z]
60	fmulp				/ [z]*lt2_hi, x, [z]
61	fsubrp	%st,%st(1)		/ x-[z]*lt2_hi, [z]
62	fldt	PIC_L(lt2_lo)		/ lt2_lo, x-[z]*lt2_hi, [z]
63	PIC_WRAPUP
64	fmul	%st(2),%st		/ [z]*lt2_lo, x-[z]*lt2_hi, [z]
65	fsubrp	%st,%st(1)		/ r := x-[z]*log10(2), [z]
66	fldl2t				/ log2(10), r, [z]
67	fmulp				/ f := r*log2(10), [z]
68	f2xm1				/ 2^f-1,[z]
69	fld1				/ 1, 2^f-1, [z]
70	faddp	%st,%st(1)		/ 2^f, [z]
711:
72	fscale				/ 10^x, [z]
73	fstp	%st(1)
74	ret
75
76.check_tail:
77	movl	8(%esp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
78	cmpl	$0x9a209a84,%ecx	/ Is |x| < log10(2)?
79	ja	.finite_non_special
80	jb	.shortcut
81	movl	4(%esp),%edx		/ edx <-- lo_32(sgnfcnd(x))
82	cmpl	$0xfbcff798,%edx	/ Is |x| slightly > log10(2)?
83	ja	.finite_non_special	/ branch if |x| slightly > log10(2)
84.shortcut:
85	/ Here, |x| < log10(2), so |z| = |x/log10(2)| < 1
86	/ whence z is in f2xm1's domain.
87	fldt	4(%esp)			/ x
88	fldl2t				/ log2(10), x
89	fmulp				/ z := x*log2(10)
90	f2xm1				/ 2^z-1
91	fld1				/ 1, 2^z-1
92	faddp	%st,%st(1)		/ 10^x
93	ret
94
95.not_finite:
96	movl	8(%esp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
97	cmpl	$0x80000000,%ecx	/ hi_32(sgnfcnd(x)) = hi_32(sgnfcnd(INF))?
98	jne	.NaN_or_pinf		/ if not, x is NaN or unsupp.
99	movl	4(%esp),%edx		/ edx <-- lo_32(sgnfcnd(x))
100	cmpl	$0,%edx			/ lo_32(sgnfcnd(x)) = 0?
101	jne	.NaN_or_pinf		/ if not, x is NaN
102	movl	12(%esp),%eax		/ ax <-- sign&bexp((x))
103	andl	$0x00008000,%eax	/ here, x is infinite, but +/-?
104	jz	.NaN_or_pinf		/ branch if x = +INF
105	fldz				/ Here, x = -inf, so return 0
106	ret
107
108.NaN_or_pinf:
109	/ Here, x = NaN or +inf, so load x and return immediately.
110	fldt	4(%esp)
111	ret
112	.align	4
113	SET_SIZE(exp10l)
114