/* * 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 2005 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ .file "expm1.s" #include "libm.h" LIBM_ANSI_PRAGMA_WEAK(expm1,function) .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)