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 2006 Sun Microsystems, Inc. All rights reserved. 26 * Use is subject to license terms. 27 */ 28 29 .file "expm1l.s" 30 31#include "libm.h" 32LIBM_ANSI_PRAGMA_WEAK(expm1l,function) 33 34 .data 35 .align 4 36ln2_hi: .long 0xd1d00000, 0xb17217f7, 0x00003ffe 37ln2_lo: .long 0x4c67fc0d, 0x8654361c, 0x0000bfce 38 39 ENTRY(expm1l) 40 movl 12(%esp),%ecx / cx <--sign&bexp(x) 41 movl %ecx,%eax / ax <--sign&bexp(x) 42 andl $0x00007fff,%ecx / ecx <-- zero_xtnd(bexp(x)) 43 cmpl $0x00003ffe,%ecx / Is |x| < ln(2)? 44 jb .shortcut / If so, take a shortcut. 45 je .check_tail / |x| may be only slightly < ln(2) 46 cmpl $0x00007fff,%ecx / bexp(|x|) = bexp(INF)? 47 je .not_finite / if so, x is not finite 48 andl $0x0000ffff,%eax / eax <-- sign&bexp(x) 49 cmpl $0x0000c006,%eax / x <= -128? 50 jae 1f / if so, simply return -1 51 cmpl $0x0000400d,%ecx / |x| < 16384 = 2^14? 52 jb .finite_non_special / if so, proceed with argument reduction 53 fldt 4(%esp) / x >= 16384; x 54 fld1 / 1, x 55 fscale / +Inf, x 56 fstp %st(1) / +Inf 57 ret 58 59.finite_non_special: / -128 < x < -ln(2) || ln(2) < x < 2^14 60 fldt 4(%esp) / x 61 fld %st(0) / x, x 62 fldl2e / log2(e), x, x 63 fmulp / z := x*log2(e), x 64 frndint / [z], x 65 fst %st(2) / [z], x, [z] 66 PIC_SETUP(1) 67 fldt PIC_L(ln2_hi) / ln2_hi, [z], x, [z] 68 fmulp / [z]*ln2_hi, x, [z] 69 fsubrp %st,%st(1) / x-[z]*ln2_hi, [z] 70 fldt PIC_L(ln2_lo) / ln2_lo, x-[z]*ln2_hi, [z] 71 PIC_WRAPUP 72 fmul %st(2),%st / [z]*ln2_lo, x-[z]*ln2_hi, [z] 73 fsubrp %st,%st(1) / r := x-[z]*ln(2), [z] 74 fldl2e / log2(e), r, [z] 75 fmulp / f := r*log2(e), [z] 76 f2xm1 / 2^f-1,[z] 77 fld1 / 1, 2^f-1, [z] 78 faddp %st,%st(1) / 2^f, [z] 79 fscale / e^x, [z] 80 fstp %st(1) / e^x 81 fld1 / 1, e^x 82 fsubrp %st,%st(1) / e^x-1 83 ret 84 85.check_tail: 86 movl 8(%esp),%ecx / ecx <-- hi_32(sgnfcnd(x)) 87 cmpl $0xb17217f7,%ecx / Is |x| < ln(2)? 88 ja .finite_non_special 89 jb .shortcut 90 movl 4(%esp),%edx / edx <-- lo_32(x) 91 cmpl $0xd1cf79ab,%edx / Is |x| slightly < ln(2)? 92 ja .finite_non_special / branch if |x| slightly > ln(2) 93.shortcut: 94 / Here, |x| < ln(2), so |z| = |x/ln(2)| < 1, 95 / whence z is in f2xm1's domain. 96 fldt 4(%esp) / x 97 fldl2e / log2(e), x 98 fmulp / z := x*log2(e) 99 f2xm1 / 2^(x*log2(e))-1 = e^x-1 100 ret 101 102.not_finite: 103 movl 8(%esp),%ecx / ecx <-- hi_32(sgnfcnd(x)) 104 cmpl $0x80000000,%ecx / hi_32(|x|) = hi_32(INF)? 105 jne .NaN_or_pinf / if not, x is NaN 106 movl 4(%esp),%edx / edx <-- lo_32(x) 107 cmpl $0,%edx / lo_32(x) = 0? 108 jne .NaN_or_pinf / if not, x is NaN 109 movl 12(%esp),%eax / ax <-- sign&bexp((x)) 110 andl $0x00008000,%eax / here, x is infinite, but +/-? 111 jz .NaN_or_pinf / branch if x = +INF 1121: 113 fld1 / Here, x = -inf, so return -1 114 fchs 115 ret 116 117.NaN_or_pinf: 118 / Here, x = NaN or +inf, so load x and return immediately. 119 fldt 4(%esp) 120 ret 121 .align 4 122 SET_SIZE(expm1l) 123