/* ix87 specific implementation of exp(x)-1. Copyright (C) 1996, 1997, 2005 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 Lesser General Public License as published by the Free Software Foundation; either version 2.1 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 Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU C Library; 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 */ .file "s_expm1.s" .text .align 4 minus1: .double -1.0 one: .double 1.0 l2e: .tfloat 1.442695040888963407359924681002 .align 4 .globl ___expm1 .def __expm1; .scl 2; .type 32; .endef ___expm1: fldl 4(%esp) # x fxam # Is NaN or +-Inf? fstsw %ax movb $0x45, %ch andb %ah, %ch cmpb $0x40, %ch je 3f # If +-0, jump. cmpb $0x05, %ch je 2f # If +-Inf, jump. fldt 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 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 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 minus1 # Set result to -1.0. 3: ret