/* ix87 specific implementation of exp(x)-1. Copyright (C) 1996, 1997 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 1996. Based on code by John C. Bowman . Corrections by H.J. Lu (hjl@gnu.ai.mit.edu), 1997. The GNU C Library is free software; you can redistribute it and/or modify it under the terms of the GNU Library General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. The GNU C Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public License for more details. You should have received a copy of the GNU Library General Public License along with the GNU C Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ /* Using: e^x - 1 = 2^(x * log2(e)) - 1 */ #include #ifdef __ELF__ .section .rodata #else .text #endif .align ALIGNARG(4) ASM_TYPE_DIRECTIVE(minus1,@object) minus1: .double -1.0 ASM_SIZE_DIRECTIVE(minus1) ASM_TYPE_DIRECTIVE(one,@object) one: .double 1.0 ASM_SIZE_DIRECTIVE(one) ASM_TYPE_DIRECTIVE(l2e,@object) l2e: .tfloat 1.442695040888963407359924681002 ASM_SIZE_DIRECTIVE(l2e) #ifdef PIC #define MO(op) op##@GOTOFF(%edx) #else #define MO(op) op #endif .text ENTRY(__expm1l) fldt 4(%esp) // x fxam // Is NaN or +-Inf? fstsw %ax movb $0x45, %ch andb %ah, %ch cmpb $0x40, %ch je 3f // If +-0, jump. #ifdef PIC call 1f 1: popl %edx addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx #endif cmpb $0x05, %ch je 2f // If +-Inf, jump. fldt MO(l2e) // log2(e) : x fmulp // log2(e)*x fld %st // log2(e)*x : log2(e)*x frndint // int(log2(e)*x) : log2(e)*x fsubr %st, %st(1) // int(log2(e)*x) : fract(log2(e)*x) fxch // fract(log2(e)*x) : int(log2(e)*x) f2xm1 // 2^fract(log2(e)*x)-1 : int(log2(e)*x) fscale // 2^(log2(e)*x)-2^int(log2(e)*x) : int(log2(e)*x) fxch // int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x) fldl MO(one) // 1 : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x) fscale // 2^int(log2(e)*x) : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x) fsubrl MO(one) // 1-2^int(log2(e)*x) : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x) fstp %st(1) // 1-2^int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x) fsubrp %st, %st(1) // 2^(log2(e)*x) ret 2: testl $0x200, %eax // Test sign. jz 3f // If positive, jump. fstp %st fldl MO(minus1) // Set result to -1.0. 3: ret END(__expm1l) weak_alias (__expm1l, expm1l)