📄 s_asinh.s
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/* ix87 specific implementation of arcsinh. Copyright (C) 1996, 1997 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996. 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. */#include <machine/asm.h>#ifdef __ELF__ .section .rodata#else .text#endif .align ALIGNARG(4) ASM_TYPE_DIRECTIVE(huge,@object)huge: .double 1e+300 ASM_SIZE_DIRECTIVE(huge) ASM_TYPE_DIRECTIVE(one,@object)one: .double 1.0 ASM_SIZE_DIRECTIVE(one) ASM_TYPE_DIRECTIVE(limit,@object)limit: .double 0.29 ASM_SIZE_DIRECTIVE(limit)#ifdef PIC#define MO(op) op##@GOTOFF(%edx)#else#define MO(op) op#endif .textENTRY(__asinh) movl 8(%esp), %ecx movl $0x7fffffff, %eax andl %ecx, %eax andl $0x80000000, %ecx movl %eax, %edx orl $0x800fffff, %edx incl %edx jz 7f // x in 盜nf or NaN xorl %ecx, 8(%esp) fldl 4(%esp) // |x| cmpl $0x3e300000, %eax jb 2f // |x| < 2^-28 fldln2 // log(2) : |x| cmpl $0x41b00000, %eax fxch // |x| : log(2) ja 3f // |x| > 2^28#ifdef PIC call 1f1: popl %edx addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx#endif cmpl $0x40000000, %eax ja 5f // |x| > 2 // 2^-28 <= |x| <= 2 => y = sign(x)*log1p(|x|+|x|^2/(1+sqrt(1+|x|^2))) fld %st // |x| : |x| : log(2) fmul %st(1) // |x|^2 : |x| : log(2) fld %st // |x|^2 : |x|^2 : |x| : log(2) faddl MO(one) // 1+|x|^2 : |x|^2 : |x| : log(2) fsqrt // sqrt(1+|x|^2) : |x|^2 : |x| : log(2) faddl MO(one) // 1+sqrt(1+|x|^2) : |x|^2 : |x| : log(2) fdivrp // |x|^2/(1+sqrt(1+|x|^2)) : |x| : log(2) faddp // |x|+|x|^2/(1+sqrt(1+|x|^2)) : log(2) fcoml MO(limit) fnstsw sahf ja 6f fyl2xp1 jecxz 4f fchs4: ret7: fldl 4(%esp) ret6: faddl MO(one) fyl2x jecxz 4f fchs4: ret // |x| < 2^-28 => y = x (inexact iff |x| != 0.0) .align ALIGNARG(4)2:#ifdef PIC call 1f1: popl %edx addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx#endif jecxz 4f fchs // x4: fld %st // x : x faddl MO(huge) // huge+x : x fstp %st(0) // x ret // |x| > 2^28 => y = sign(x) * (log(|x|) + log(2)) .align ALIGNARG(4)3: fyl2x // log(|x|) fldln2 // log(2) : log(|x|) faddp // log(|x|)+log(2) jecxz 4f fchs4: ret // |x| > 2 => y = sign(x) * log(2*|x| + 1/(|x|+sqrt(x*x+1))) .align ALIGNARG(4)5: fld %st // |x| : |x| : log(2) fadd %st, %st(1) // |x| : 2*|x| : log(2) fld %st // |x| : |x| : 2*|x| : log(2) fmul %st(1) // |x|^2 : |x| : 2*|x| : log(2) faddl MO(one) // 1+|x|^2 : |x| : 2*|x| : log(2) fsqrt // sqrt(1+|x|^2) : |x| : 2*|x| : log(2) faddp // |x|+sqrt(1+|x|^2) : 2*|x| : log(2) fdivrl MO(one) // 1/(|x|+sqrt(1+|x|^2)) : 2*|x| : log(2) faddp // 2*|x|+1/(|x|+sqrt(1+|x|^2)) : log(2) fyl2x // log(2*|x|+1/(|x|+sqrt(1+|x|^2))) jecxz 4f fchs4: retEND(__asinh)weak_alias (__asinh, asinh)
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