xref: /illumos-gate/usr/src/lib/libm/amd64/src/exp2l.S (revision 55fea89d)
125c28e83SPiotr Jasiukajtis/*
225c28e83SPiotr Jasiukajtis * CDDL HEADER START
325c28e83SPiotr Jasiukajtis *
425c28e83SPiotr Jasiukajtis * The contents of this file are subject to the terms of the
525c28e83SPiotr Jasiukajtis * Common Development and Distribution License (the "License").
625c28e83SPiotr Jasiukajtis * You may not use this file except in compliance with the License.
725c28e83SPiotr Jasiukajtis *
825c28e83SPiotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
925c28e83SPiotr Jasiukajtis * or http://www.opensolaris.org/os/licensing.
1025c28e83SPiotr Jasiukajtis * See the License for the specific language governing permissions
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1325c28e83SPiotr Jasiukajtis * When distributing Covered Code, include this CDDL HEADER in each
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1925c28e83SPiotr Jasiukajtis * CDDL HEADER END
2025c28e83SPiotr Jasiukajtis */
2125c28e83SPiotr Jasiukajtis/*
2225c28e83SPiotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2325c28e83SPiotr Jasiukajtis */
2425c28e83SPiotr Jasiukajtis/*
2525c28e83SPiotr Jasiukajtis * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
2625c28e83SPiotr Jasiukajtis * Use is subject to license terms.
2725c28e83SPiotr Jasiukajtis */
2825c28e83SPiotr Jasiukajtis
2925c28e83SPiotr Jasiukajtis        .file "exp2l.s"
3025c28e83SPiotr Jasiukajtis
3125c28e83SPiotr Jasiukajtis#include "libm.h"
3225c28e83SPiotr JasiukajtisLIBM_ANSI_PRAGMA_WEAK(exp2l,function)
3325c28e83SPiotr Jasiukajtis
3425c28e83SPiotr Jasiukajtis	ENTRY(exp2l)
3525c28e83SPiotr Jasiukajtis	movl	16(%rsp),%ecx		/ cx <--sign&bexp(x)
3625c28e83SPiotr Jasiukajtis	andl	$0x7fff,%ecx		/ ecx <-- zero_xtnd(bexp(x))
3725c28e83SPiotr Jasiukajtis	cmpl	$0x3fff,%ecx		/ Is |x| <= 1?
3825c28e83SPiotr Jasiukajtis	jb	.shortcut		/ If so, take a shortcut.
3925c28e83SPiotr Jasiukajtis	je	.check_tail		/ |x| may be slightly > 1
4025c28e83SPiotr Jasiukajtis.general_case:				/ Here, |x| > 1 or x is NaN
4125c28e83SPiotr Jasiukajtis	cmpl	$0x7fff,%ecx		/ bexp(|x|) = bexp(INF)?
4225c28e83SPiotr Jasiukajtis	je	.not_finite		/ if so, x is not finite
4325c28e83SPiotr Jasiukajtis.finite_non_special:			/ Here, 1 < |x| < INF
4425c28e83SPiotr Jasiukajtis	fldt	8(%rsp)			/ push arg
4525c28e83SPiotr Jasiukajtis	fld	%st(0)			/ duplicate stack top
4625c28e83SPiotr Jasiukajtis	frndint				/ [x],x
4725c28e83SPiotr Jasiukajtis	fucomi	%st(1),%st		/ x integral?
4825c28e83SPiotr Jasiukajtis	je      .x_integral		/ branch if x integral
4925c28e83SPiotr Jasiukajtis	fxch				/ x, [x]
5025c28e83SPiotr Jasiukajtis	fsub	%st(1),%st		/ x-[x], [x]
5125c28e83SPiotr Jasiukajtis	f2xm1				/ 2**(x-[x])-1, [x]
5225c28e83SPiotr Jasiukajtis	fld1				/ 1,2**(x-[x])-1, [x]
5325c28e83SPiotr Jasiukajtis	faddp	%st,%st(1)		/ 2**(x-[x]), [x]
5425c28e83SPiotr Jasiukajtis	fscale				/ 2**x = 2**(arg), [x]
5525c28e83SPiotr Jasiukajtis	fstp	%st(1)
5625c28e83SPiotr Jasiukajtis	ret
5725c28e83SPiotr Jasiukajtis
5825c28e83SPiotr Jasiukajtis.x_integral:
5925c28e83SPiotr Jasiukajtis	fstp	%st(0)			/ ,x
6025c28e83SPiotr Jasiukajtis	fld1				/ 1 = 2**0, x
6125c28e83SPiotr Jasiukajtis	fscale				/ 2**(0 + x) = 2**x, x
6225c28e83SPiotr Jasiukajtis	fstp	%st(1)			/ 2**x
6325c28e83SPiotr Jasiukajtis	ret
6425c28e83SPiotr Jasiukajtis
6525c28e83SPiotr Jasiukajtis.check_tail:
6625c28e83SPiotr Jasiukajtis	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
6725c28e83SPiotr Jasiukajtis	cmpl	$0x80000000,%ecx	/ Is |x| <= 1?
6825c28e83SPiotr Jasiukajtis	ja	.finite_non_special
6925c28e83SPiotr Jasiukajtis	movl	8(%rsp),%edx		/ edx <-- lo_32(sgnfcnd(x))
7025c28e83SPiotr Jasiukajtis	cmpl	$0x0,%edx		/ Is |x| slightly > 1?
7125c28e83SPiotr Jasiukajtis	ja	.finite_non_special	/ branch if |x| slightly > 1
7225c28e83SPiotr Jasiukajtis.shortcut:
7325c28e83SPiotr Jasiukajtis	/ Here, |x| < 1,
7425c28e83SPiotr Jasiukajtis	/ whence x is in f2xm1's domain.
7525c28e83SPiotr Jasiukajtis	fldt	8(%rsp)			/ push x
7625c28e83SPiotr Jasiukajtis	f2xm1				/ 2**x - 1
7725c28e83SPiotr Jasiukajtis	fld1				/ 1,2**x - 1
7825c28e83SPiotr Jasiukajtis	faddp	%st,%st(1)		/ 2**x
7925c28e83SPiotr Jasiukajtis	ret
8025c28e83SPiotr Jasiukajtis
8125c28e83SPiotr Jasiukajtis.not_finite:
8225c28e83SPiotr Jasiukajtis	movl	12(%rsp),%ecx		/ ecx <-- hi_32(sgnfcnd(x))
8325c28e83SPiotr Jasiukajtis	cmpl	$0x80000000,%ecx	/ hi_32(|x|) = hi_32(INF)?
84*55fea89dSDan Cross	jne	.NaN_or_pinf		/ if not, x is NaN
8525c28e83SPiotr Jasiukajtis	movl	8(%rsp),%edx		/ edx <-- lo_32(x)
8625c28e83SPiotr Jasiukajtis	cmpl	$0,%edx			/ lo_32(x) = 0?
8725c28e83SPiotr Jasiukajtis	jne	.NaN_or_pinf		/ if not, x is NaN
8825c28e83SPiotr Jasiukajtis	movl	16(%rsp),%eax		/ ax <-- sign&bexp((x))
8925c28e83SPiotr Jasiukajtis	andl	$0x8000,%eax		/ here, x is infinite, but +/-?
9025c28e83SPiotr Jasiukajtis	jz	.NaN_or_pinf		/ branch if x = +INF
9125c28e83SPiotr Jasiukajtis	fldz				/ Here, x = -inf, so return 0
9225c28e83SPiotr Jasiukajtis	ret
9325c28e83SPiotr Jasiukajtis
9425c28e83SPiotr Jasiukajtis.NaN_or_pinf:
9525c28e83SPiotr Jasiukajtis	/ Here, x = NaN or +inf, so load x and return immediately.
9625c28e83SPiotr Jasiukajtis	fldt	8(%rsp)
9725c28e83SPiotr Jasiukajtis	ret
9825c28e83SPiotr Jasiukajtis	.align	16
9925c28e83SPiotr Jasiukajtis	SET_SIZE(exp2l)
100