root/usr/src/lib/libm/i386/src/exp2.S
/*
 * CDDL HEADER START
 *
 * The contents of this file are subject to the terms of the
 * Common Development and Distribution License (the "License").
 * You may not use this file except in compliance with the License.
 *
 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
 * or http://www.opensolaris.org/os/licensing.
 * See the License for the specific language governing permissions
 * and limitations under the License.
 *
 * When distributing Covered Code, include this CDDL HEADER in each
 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
 * If applicable, add the following below this CDDL HEADER, with the
 * fields enclosed by brackets "[]" replaced with your own identifying
 * information: Portions Copyright [yyyy] [name of copyright owner]
 *
 * CDDL HEADER END
 */
/*
 * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
 */
/*
 * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
 * Use is subject to license terms.
 */

        .file "exp2.s"

#include "libm.h"
LIBM_ANSI_PRAGMA_WEAK(exp2,function)

        ENTRY(exp2)
        movl    8(%esp),%ecx            / ecx <-- hi_32(x)
        andl    $0x7fffffff,%ecx        / ecx <-- hi_32(|x|)
        cmpl    $0x3ff00000,%ecx        / Is |x| < 1?
        jb      .shortcut               / If so, take a shortcut.
        je      .check_tail             / |x| may be only slightly < ln(2)
        cmpl    $0x7ff00000,%ecx        / hi_32(|x|) >= hi_32(INF)?
        jae     .not_finite             / if so, x is not finite
.finite_non_special:                    / Here, 1 < |x| < INF
        fldl    4(%esp)                 / push arg
        fld     %st(0)                  / duplicate stack top
        frndint                         / [x],x
        fucom                           / x integral?
        fstsw   %ax
        sahf
        je      .x_integral             / branch if x integral
        fxch                            / x, [x]
        fsub    %st(1),%st              / x-[x], [x]
        f2xm1                           / 2**(x-[x])-1, [x]
        fld1                            / 1,2**(x-[x])-1, [x]
        faddp   %st,%st(1)              / 2**(x-[x]), [x]
        fscale                          / 2**x = 2**(arg), [x]
        fstp    %st(1)
        ret

.x_integral:
        fstp    %st(0)                  / ,x
        fld1                            / 1 = 2**0, x
        fscale                          / 2**(0 + x) = 2**x, x
        fstp    %st(1)                  / 2**x
        ret

.check_tail:
        movl    4(%esp),%edx            / edx <-- lo_32(x)
        cmpl    $0x00000000,%edx        / Is |x| slightly > 1?
        ja      .finite_non_special     / branch if |x| slightly > 1
.shortcut:
        / Here, |x| <= 1,
        / whence x is in f2xm1's domain.
        fldl    4(%esp)                 / push x
        f2xm1                           / 2**x - 1
        fld1                            / 1,2**x - 1
        faddp   %st,%st(1)              / 2**x
        ret

.not_finite:
        cmpl    $0x7ff00000,%ecx        / hi_32(|x|) > hi_32(INF)?
        ja      .NaN_or_pinf            / if so, x is NaN
        movl    4(%esp),%edx            / edx <-- lo_32(x)
        cmpl    $0,%edx                 / lo_32(x) = 0?
        jne     .NaN_or_pinf            / if not, x is NaN
        movl    8(%esp),%eax            / eax <-- hi_32(x)
        andl    $0x80000000,%eax        / here, x is infinite, but +/-?
        jz      .NaN_or_pinf            / branch if x = +INF
        fldz                            / Here, x = -inf, so return 0
        ret

.NaN_or_pinf:
        / Here, x = NaN or +inf, so load x and return immediately.
        fldl    4(%esp)
        fwait
        ret
        .align  4
        SET_SIZE(exp2)