diff options
Diffstat (limited to 'usr/src/libm/src/i386/common/expm1.s')
-rw-r--r-- | usr/src/libm/src/i386/common/expm1.s | 129 |
1 files changed, 129 insertions, 0 deletions
diff --git a/usr/src/libm/src/i386/common/expm1.s b/usr/src/libm/src/i386/common/expm1.s new file mode 100644 index 0000000..42b1256 --- /dev/null +++ b/usr/src/libm/src/i386/common/expm1.s @@ -0,0 +1,129 @@ +/* + * 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 2005 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + */ + + .ident "@(#)expm1.s 1.8 06/01/23 SMI" + + .file "expm1.s" + +#include "libm.h" +LIBM_ANSI_PRAGMA_WEAK(expm1,function) +#include "libm_synonyms.h" + + .data + .align 4 +.mhundred: .float -100.0 + + ENTRY(expm1) + movl 8(%esp),%ecx / ecx <-- hi_32(x) + andl $0x7fffffff,%ecx / ecx <-- hi_32(|x|) + cmpl $0x3fe62e42,%ecx / Is |x| < ln(2)? + 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, ln(2) < |x| < INF + fldl 4(%esp) / push x + + subl $8,%esp / save RP and set round-to-64-bits + fstcw (%esp) + movw (%esp),%ax + movw %ax,4(%esp) + orw $0x0300,%ax + movw %ax,(%esp) + fldcw (%esp) + + fldl2e / push log2e }not for xtndd_dbl + fmulp %st,%st(1) / z = x*log2e }not for xtndd_dbl + fld %st(0) / duplicate stack top + frndint / [z],z + / [z] != 0, compute exp(x) and then subtract one to get expm1(x) + fxch / z,[z] + fsub %st(1),%st / z-[z],[z] + f2xm1 / 2**(z-[z])-1,[z] + / avoid spurious underflow when scaling to compute exp(x) + PIC_SETUP(1) + flds PIC_L(.mhundred) + PIC_WRAPUP + fucom %st(2) / if -100 !< [z], then use -100 + fstsw %ax + sahf + jb .got_int_part + fxch %st(2) +.got_int_part: + fstp %st(0) / 2**(z-[z])-1,max([z],-100) + fld1 / 1,2**(z-[z])-1,max([z],-100) + faddp %st,%st(1) / 2**(z-[z]) ,max([z],-100) + fscale / exp(x) ,max([z],-100) + fld1 / 1,exp(x) ,max([z],-100) + fxch / exp(x),1 ,max([z],-100) + fsubp %st,%st(1) / exp(x)-1 ,max([z],-100) + fstp %st(1) + + fstcw (%esp) / restore old RP + movw (%esp),%dx + andw $0xfcff,%dx + movw 4(%esp),%cx + andw $0x0300,%cx + orw %dx,%cx + movw %cx,(%esp) + fldcw (%esp) + add $8,%esp + + ret + +.check_tail: + movl 4(%esp),%edx / edx <-- lo_32(x) + cmpl $0xfefa39ef,%edx / Is |x| slightly < ln(2)? + ja .finite_non_special / branch if |x| slightly > ln(2) +.shortcut: + / Here, |x| < ln(2), so |z| = |x*log2(e)| < 1, + / whence z is in f2xm1's domain. + fldl 4(%esp) / push x + fldl2e / push log2e }not for xtndd_dbl + fmulp %st,%st(1) / z = x*log2e }not for xtndd_dbl + f2xm1 / 2**(x*log2(e))-1 = e**x - 1 + ret + +.not_finite: + / Here, flags still have settings from execution of + / cmpl $0x7ff00000,%ecx / hi_32(|x|) > hi_32(INF)? + ja .NaN_or_pinf / if not, x may be +/- INF + 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 + fld1 / Here, x = -inf, so return -1 + fchs + ret + +.NaN_or_pinf: + / Here, x = NaN or +inf, so load x and return immediately. + fldl 4(%esp) + fwait + ret + .align 4 + SET_SIZE(expm1) |