xref: /illumos-gate/usr/src/lib/libm/amd64/src/exp10l.S (revision 5d9d9091)
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 "exp10l.s"
30
31#include "libm.h"
32
33	.data
34	.align	16
35lt2_hi:	.4byte	0xfbd00000, 0x9a209a84, 0x3ffd, 0x0
36lt2_lo:	.4byte	0x653f4837, 0x8677076a, 0xbfc9, 0x0
37
38	ENTRY(exp10l)
39	movl	16(%rsp),%ecx		/ cx <--sign&bexp(x)
40	andl	$0x7fff,%ecx		/ ecx <-- zero_xtnd(bexp(x))
41	cmpl	$0x3ffd,%ecx		/ Is |x| < log10(2)?
42	jb	.shortcut		/ If so, take a shortcut.
43	je	.check_tail		/ maybe |x| only slightly < log10(2)
44.general_case:				/ Here, |x| > log10(2) or x is NaN
45	cmpl	$0x7fff,%ecx		/ bexp(|x|) = bexp(INF)?
46	je	.not_finite		/ if so, x is not finite
47	cmpl	$0x400e,%ecx		/ |x| < 32768 = 2^15?
48	jb	.finite_non_special	/ if so, proceed with argument reduction
49	fldt	8(%rsp)			/ x
50	fld1				/ 1, x
51	jmp	1f
52.finite_non_special:			/ Here, log10(2) < |x| < 2^15
53	fldt	8(%rsp)			/ x
54	fld	%st(0)			/ x, x
55	fldl2t				/ log2(10), x, x
56	fmulp				/ z := x*log2(10), x
57	frndint				/ [z], x
58	fst	%st(2)			/ [z], x, [z]
59	PIC_SETUP(1)
60	fldt	PIC_L(lt2_hi)		/ lt2_hi, [z], x, [z]
61	fmulp				/ [z]*lt2_hi, x, [z]
62	fsubrp	%st,%st(1)		/ x-[z]*lt2_hi, [z]
63	fldt	PIC_L(lt2_lo)		/ lt2_lo, x-[z]*lt2_hi, [z]
64	PIC_WRAPUP
65	fmul	%st(2),%st		/ [z]*lt2_lo, x-[z]*lt2_hi, [z]
66	fsubrp	%st,%st(1)		/ r := x-[z]*log10(2), [z]
67	fldl2t				/ log2(10), r, [z]
68	fmulp				/ f := r*log2(10), [z]
69	f2xm1				/ 2^f-1,[z]
70	fld1				/ 1, 2^f-1, [z]
71	faddp	%st,%st(1)		/ 2^f, [z]
721:
73	fscale				/ 10^x, [z]
74	fstp	%st(1)
75	ret
76
77.check_tail:
78	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
79	cmpl	$0x9a209a84,%ecx	/ Is |x| < log10(2)?
80	ja	.finite_non_special
81	jb	.shortcut
82	movl	8(%rsp),%edx		/ edx <-- lo_32(sgnfcnd(x))
83	cmpl	$0xfbcff798,%edx	/ Is |x| slightly > log10(2)?
84	ja	.finite_non_special	/ branch if |x| slightly > log10(2)
85.shortcut:
86	/ Here, |x| < log10(2), so |z| = |x/log10(2)| < 1
87	/ whence z is in f2xm1's domain.
88	fldt	8(%rsp)			/ x
89	fldl2t				/ log2(10), x
90	fmulp				/ z := x*log2(10)
91	f2xm1				/ 2^z-1
92	fld1				/ 1, 2^z-1
93	faddp	%st,%st(1)		/ 10^x
94	ret
95
96.not_finite:
97	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
98	cmpl	$0x80000000,%ecx	/ hi_32(sgnfcnd(x)) = hi_32(sgnfcnd(INF))?
99	jne	.NaN_or_pinf		/ if not, x is NaN or unsupp.
100	movl	8(%rsp),%edx		/ edx <-- lo_32(sgnfcnd(x))
101	cmpl	$0,%edx			/ lo_32(sgnfcnd(x)) = 0?
102	jne	.NaN_or_pinf		/ if not, x is NaN
103	movl	16(%rsp),%eax		/ ax <-- sign&bexp((x))
104	andl	$0x8000,%eax		/ here, x is infinite, but +/-?
105	jz	.NaN_or_pinf		/ branch if x = +INF
106	fldz				/ Here, x = -inf, so return 0
107	ret
108
109.NaN_or_pinf:
110	/ Here, x = NaN or +inf, so load x and return immediately.
111	fldt	8(%rsp)
112	ret
113	.align	16
114	SET_SIZE(exp10l)
115